diff --git a/README.md b/README.md new file mode 100644 index 0000000000000000000000000000000000000000..91f71f3ef69426f6fad9cf97fc09d09a236a47a8 --- /dev/null +++ b/README.md @@ -0,0 +1,14 @@ +--- +license: apache-2.0 +--- + +## Mamba + +Mamba state space kernels + models from [state-spaces/mamba](https://github.com/state-spaces/mamba). + +## Warning + +Some functionality is dependent on `einops` and `transformers`, however we +currently don't have any way of defining these dependencies yet. The scope +of the Hub kernel is probably too large (should maybe only contain the +selective-scan and Triton kernels). diff --git a/build.toml b/build.toml new file mode 100644 index 0000000000000000000000000000000000000000..2eff788d6adc673ecad3e9cb30752d7552d3bbb9 --- /dev/null +++ b/build.toml @@ -0,0 +1,34 @@ +[general] +version = "0.0.1" + +[torch] +name = "mamba_ssm" +src = [ + "torch-ext/registration.h", + "torch-ext/torch_binding.cpp", + "torch-ext/torch_binding.h" +] +pyroot = "torch-ext" + +[kernel.selective_scan] +capabilities = [ "7.0", "7.2", "7.5", "8.0", "8.6", "8.7", "8.9", "9.0" ] +src = [ + "selective-scan/reverse_scan.cuh", + "selective-scan/selective_scan.cpp", + "selective-scan/selective_scan.h", + "selective-scan/selective_scan_bwd_bf16_complex.cu", + "selective-scan/selective_scan_bwd_bf16_real.cu", + "selective-scan/selective_scan_bwd_fp16_complex.cu", + "selective-scan/selective_scan_bwd_fp16_real.cu", + "selective-scan/selective_scan_bwd_fp32_complex.cu", + "selective-scan/selective_scan_bwd_fp32_real.cu", + "selective-scan/selective_scan_bwd_kernel.cuh", + "selective-scan/selective_scan_common.h", + "selective-scan/selective_scan_fwd_bf16.cu", + "selective-scan/selective_scan_fwd_fp16.cu", + "selective-scan/selective_scan_fwd_fp32.cu", + "selective-scan/selective_scan_fwd_kernel.cuh", + "selective-scan/static_switch.h", + "selective-scan/uninitialized_copy.cuh", +] +depends = [ "torch" ] diff --git a/selective-scan/reverse_scan.cuh b/selective-scan/reverse_scan.cuh new file mode 100644 index 0000000000000000000000000000000000000000..d19397879bda6a197ad2d62e6db8120d89a30fd5 --- /dev/null +++ b/selective-scan/reverse_scan.cuh @@ -0,0 +1,415 @@ +/****************************************************************************** + * Copyright (c) 2023, Tri Dao. + ******************************************************************************/ + +#pragma once + +#ifndef USE_ROCM + #include + + #include + #include + #include + // #include +#else + #include + namespace cub = hipcub; +#endif +#include "uninitialized_copy.cuh" + +/** + * Perform a reverse sequential reduction over \p LENGTH elements of the \p input array. The aggregate is returned. + */ +template < + int LENGTH, + typename T, + typename ReductionOp> +__device__ __forceinline__ T ThreadReverseReduce(const T (&input)[LENGTH], ReductionOp reduction_op) { + static_assert(LENGTH > 0); + T retval = input[LENGTH - 1]; + #pragma unroll + for (int i = LENGTH - 2; i >= 0; --i) { retval = reduction_op(retval, input[i]); } + return retval; +} + +/** + * Perform a sequential inclusive postfix reverse scan over the statically-sized \p input array, seeded with the specified \p postfix. The aggregate is returned. + */ +template < + int LENGTH, + typename T, + typename ScanOp> +__device__ __forceinline__ T ThreadReverseScanInclusive( + const T (&input)[LENGTH], + T (&output)[LENGTH], + ScanOp scan_op, + const T postfix) +{ + T inclusive = postfix; + #pragma unroll + for (int i = LENGTH - 1; i >= 0; --i) { + inclusive = scan_op(inclusive, input[i]); + output[i] = inclusive; + } + return inclusive; +} + +/** + * Perform a sequential exclusive postfix reverse scan over the statically-sized \p input array, seeded with the specified \p postfix. The aggregate is returned. + */ +template < + int LENGTH, + typename T, + typename ScanOp> +__device__ __forceinline__ T ThreadReverseScanExclusive( + const T (&input)[LENGTH], + T (&output)[LENGTH], + ScanOp scan_op, + const T postfix) +{ + // Careful, output maybe be aliased to input + T exclusive = postfix; + T inclusive; + #pragma unroll + for (int i = LENGTH - 1; i >= 0; --i) { + inclusive = scan_op(exclusive, input[i]); + output[i] = exclusive; + exclusive = inclusive; + } + return inclusive; +} + + +/** + * \brief WarpReverseScan provides SHFL-based variants of parallel postfix scan of items partitioned across a CUDA thread warp. + * + * LOGICAL_WARP_THREADS must be a power-of-two + */ +template < + typename T, ///< Data type being scanned + int LOGICAL_WARP_THREADS ///< Number of threads per logical warp + > +struct WarpReverseScan { + //--------------------------------------------------------------------- + // Constants and type definitions + //--------------------------------------------------------------------- + + /// Whether the logical warp size and the PTX warp size coincide + + // In hipcub, warp_threads is defined as HIPCUB_WARP_THREADS ::rocprim::warp_size() + // While in cub, it's defined as a macro that takes a redundant unused argument. + #ifndef USE_ROCM + #define WARP_THREADS CUB_WARP_THREADS(0) + #else + #define WARP_THREADS HIPCUB_WARP_THREADS + #endif + static constexpr bool IS_ARCH_WARP = (LOGICAL_WARP_THREADS == WARP_THREADS); + /// The number of warp scan steps + static constexpr int STEPS = cub::Log2::VALUE; + static_assert(LOGICAL_WARP_THREADS == 1 << STEPS); + + + //--------------------------------------------------------------------- + // Thread fields + //--------------------------------------------------------------------- + + /// Lane index in logical warp + unsigned int lane_id; + + /// Logical warp index in 32-thread physical warp + unsigned int warp_id; + + /// 32-thread physical warp member mask of logical warp + unsigned int member_mask; + + //--------------------------------------------------------------------- + // Construction + //--------------------------------------------------------------------- + + /// Constructor + explicit __device__ __forceinline__ + WarpReverseScan() + : lane_id(cub::LaneId()) + , warp_id(IS_ARCH_WARP ? 0 : (lane_id / LOGICAL_WARP_THREADS)) + , member_mask(cub::WarpMask(warp_id)) + { + if (!IS_ARCH_WARP) { + lane_id = lane_id % LOGICAL_WARP_THREADS; + } + } + + + /// Broadcast + __device__ __forceinline__ T Broadcast( + T input, ///< [in] The value to broadcast + int src_lane) ///< [in] Which warp lane is to do the broadcasting + { + return cub::ShuffleIndex(input, src_lane, member_mask); + } + + + /// Inclusive scan + template + __device__ __forceinline__ void InclusiveReverseScan( + T input, ///< [in] Calling thread's input item. + T &inclusive_output, ///< [out] Calling thread's output item. May be aliased with \p input. + ScanOpT scan_op) ///< [in] Binary scan operator + { + inclusive_output = input; + #pragma unroll + for (int STEP = 0; STEP < STEPS; STEP++) { + int offset = 1 << STEP; + T temp = cub::ShuffleDown( + inclusive_output, offset, LOGICAL_WARP_THREADS - 1, member_mask + ); + // Perform scan op if from a valid peer + inclusive_output = static_cast(lane_id) >= LOGICAL_WARP_THREADS - offset + ? inclusive_output : scan_op(temp, inclusive_output); + } + } + + /// Exclusive scan + // Get exclusive from inclusive + template + __device__ __forceinline__ void ExclusiveReverseScan( + T input, ///< [in] Calling thread's input item. + T &exclusive_output, ///< [out] Calling thread's output item. May be aliased with \p input. + ScanOpT scan_op, ///< [in] Binary scan operator + T &warp_aggregate) ///< [out] Warp-wide aggregate reduction of input items. + { + T inclusive_output; + InclusiveReverseScan(input, inclusive_output, scan_op); + warp_aggregate = cub::ShuffleIndex(inclusive_output, 0, member_mask); + // initial value unknown + exclusive_output = cub::ShuffleDown( + inclusive_output, 1, LOGICAL_WARP_THREADS - 1, member_mask + ); + } + + /** + * \brief Computes both inclusive and exclusive reverse scans using the specified binary scan functor across the calling warp. Because no initial value is supplied, the \p exclusive_output computed for the last warp-lane is undefined. + */ + template + __device__ __forceinline__ void ReverseScan( + T input, ///< [in] Calling thread's input item. + T &inclusive_output, ///< [out] Calling thread's inclusive-scan output item. + T &exclusive_output, ///< [out] Calling thread's exclusive-scan output item. + ScanOpT scan_op) ///< [in] Binary scan operator + { + InclusiveReverseScan(input, inclusive_output, scan_op); + // initial value unknown + exclusive_output = cub::ShuffleDown( + inclusive_output, 1, LOGICAL_WARP_THREADS - 1, member_mask + ); + } + +}; + +/** + * \brief BlockReverseScan provides variants of raking-based parallel postfix scan across a CUDA thread block. + */ +template < + typename T, ///< Data type being scanned + int BLOCK_DIM_X, ///< The thread block length in threads along the X dimension + bool MEMOIZE=false ///< Whether or not to buffer outer raking scan partials to incur fewer shared memory reads at the expense of higher register pressure + > +struct BlockReverseScan { + //--------------------------------------------------------------------- + // Types and constants + //--------------------------------------------------------------------- + + /// Constants + /// The thread block size in threads + static constexpr int BLOCK_THREADS = BLOCK_DIM_X; + + /// Layout type for padded thread block raking grid + using BlockRakingLayout = cub::BlockRakingLayout; + // The number of reduction elements is not a multiple of the number of raking threads for now + static_assert(BlockRakingLayout::UNGUARDED); + + /// Number of raking threads + static constexpr int RAKING_THREADS = BlockRakingLayout::RAKING_THREADS; + /// Number of raking elements per warp synchronous raking thread + static constexpr int SEGMENT_LENGTH = BlockRakingLayout::SEGMENT_LENGTH; + /// Cooperative work can be entirely warp synchronous + static constexpr bool WARP_SYNCHRONOUS = (int(BLOCK_THREADS) == int(RAKING_THREADS)); + + /// WarpReverseScan utility type + using WarpReverseScan = WarpReverseScan; + + /// Shared memory storage layout type + struct _TempStorage { + typename BlockRakingLayout::TempStorage raking_grid; ///< Padded thread block raking grid + }; + + + /// Alias wrapper allowing storage to be unioned + struct TempStorage : cub::Uninitialized<_TempStorage> {}; + + + //--------------------------------------------------------------------- + // Per-thread fields + //--------------------------------------------------------------------- + + // Thread fields + _TempStorage &temp_storage; + unsigned int linear_tid; + T cached_segment[SEGMENT_LENGTH]; + + + //--------------------------------------------------------------------- + // Utility methods + //--------------------------------------------------------------------- + + /// Performs upsweep raking reduction, returning the aggregate + template + __device__ __forceinline__ T Upsweep(ScanOp scan_op) { + T *smem_raking_ptr = BlockRakingLayout::RakingPtr(temp_storage.raking_grid, linear_tid); + // Read data into registers + #pragma unroll + for (int i = 0; i < SEGMENT_LENGTH; ++i) { cached_segment[i] = smem_raking_ptr[i]; } + T raking_partial = cached_segment[SEGMENT_LENGTH - 1]; + #pragma unroll + for (int i = SEGMENT_LENGTH - 2; i >= 0; --i) { + raking_partial = scan_op(raking_partial, cached_segment[i]); + } + return raking_partial; + } + + + /// Performs exclusive downsweep raking scan + template + __device__ __forceinline__ void ExclusiveDownsweep( + ScanOp scan_op, + T raking_partial) + { + T *smem_raking_ptr = BlockRakingLayout::RakingPtr(temp_storage.raking_grid, linear_tid); + // Read data back into registers + if (!MEMOIZE) { + #pragma unroll + for (int i = 0; i < SEGMENT_LENGTH; ++i) { cached_segment[i] = smem_raking_ptr[i]; } + } + ThreadReverseScanExclusive(cached_segment, cached_segment, scan_op, raking_partial); + // Write data back to smem + #pragma unroll + for (int i = 0; i < SEGMENT_LENGTH; ++i) { smem_raking_ptr[i] = cached_segment[i]; } + } + + + //--------------------------------------------------------------------- + // Constructors + //--------------------------------------------------------------------- + + /// Constructor + __device__ __forceinline__ BlockReverseScan( + TempStorage &temp_storage) + : + temp_storage(temp_storage.Alias()), + linear_tid(cub::RowMajorTid(BLOCK_DIM_X, 1, 1)) + {} + + + /// Computes an exclusive thread block-wide postfix scan using the specified binary \p scan_op functor. Each thread contributes one input element. the call-back functor \p block_postfix_callback_op is invoked by the first warp in the block, and the value returned by lane0 in that warp is used as the "seed" value that logically postfixes the thread block's scan inputs. Also provides every thread with the block-wide \p block_aggregate of all inputs. + template < + typename ScanOp, + typename BlockPostfixCallbackOp> + __device__ __forceinline__ void ExclusiveReverseScan( + T input, ///< [in] Calling thread's input item + T &exclusive_output, ///< [out] Calling thread's output item (may be aliased to \p input) + ScanOp scan_op, ///< [in] Binary scan operator + BlockPostfixCallbackOp &block_postfix_callback_op) ///< [in-out] [warp0 only] Call-back functor for specifying a thread block-wide postfix to be applied to all inputs. + { + if (WARP_SYNCHRONOUS) { + // Short-circuit directly to warp-synchronous scan + T block_aggregate; + WarpReverseScan warp_scan; + warp_scan.ExclusiveReverseScan(input, exclusive_output, scan_op, block_aggregate); + // Obtain warp-wide postfix in lane0, then broadcast to other lanes + T block_postfix = block_postfix_callback_op(block_aggregate); + block_postfix = warp_scan.Broadcast(block_postfix, 0); + exclusive_output = linear_tid == BLOCK_THREADS - 1 ? block_postfix : scan_op(block_postfix, exclusive_output); + } else { + // Place thread partial into shared memory raking grid + T *placement_ptr = BlockRakingLayout::PlacementPtr(temp_storage.raking_grid, linear_tid); + detail::uninitialized_copy(placement_ptr, input); + cub::CTA_SYNC(); + // Reduce parallelism down to just raking threads + if (linear_tid < RAKING_THREADS) { + WarpReverseScan warp_scan; + // Raking upsweep reduction across shared partials + T upsweep_partial = Upsweep(scan_op); + // Warp-synchronous scan + T exclusive_partial, block_aggregate; + warp_scan.ExclusiveReverseScan(upsweep_partial, exclusive_partial, scan_op, block_aggregate); + // Obtain block-wide postfix in lane0, then broadcast to other lanes + T block_postfix = block_postfix_callback_op(block_aggregate); + block_postfix = warp_scan.Broadcast(block_postfix, 0); + // Update postfix with warpscan exclusive partial + T downsweep_postfix = linear_tid == RAKING_THREADS - 1 + ? block_postfix : scan_op(block_postfix, exclusive_partial); + // Exclusive raking downsweep scan + ExclusiveDownsweep(scan_op, downsweep_postfix); + } + cub::CTA_SYNC(); + // Grab thread postfix from shared memory + exclusive_output = *placement_ptr; + + // // Compute warp scan in each warp. + // // The exclusive output from the last lane in each warp is invalid. + // T inclusive_output; + // WarpReverseScan warp_scan; + // warp_scan.ReverseScan(input, inclusive_output, exclusive_output, scan_op); + + // // Compute the warp-wide postfix and block-wide aggregate for each warp. Warp postfix for the last warp is invalid. + // T block_aggregate; + // T warp_postfix = ComputeWarpPostfix(scan_op, inclusive_output, block_aggregate); + + // // Apply warp postfix to our lane's partial + // if (warp_id != 0) { + // exclusive_output = scan_op(warp_postfix, exclusive_output); + // if (lane_id == 0) { exclusive_output = warp_postfix; } + // } + + // // Use the first warp to determine the thread block postfix, returning the result in lane0 + // if (warp_id == 0) { + // T block_postfix = block_postfix_callback_op(block_aggregate); + // if (lane_id == 0) { + // // Share the postfix with all threads + // detail::uninitialized_copy(&temp_storage.block_postfix, + // block_postfix); + + // exclusive_output = block_postfix; // The block postfix is the exclusive output for tid0 + // } + // } + + // cub::CTA_SYNC(); + + // // Incorporate thread block postfix into outputs + // T block_postfix = temp_storage.block_postfix; + // if (linear_tid > 0) { exclusive_output = scan_op(block_postfix, exclusive_output); } + } + } + + + /** + * \brief Computes an inclusive block-wide postfix scan using the specified binary \p scan_op functor. Each thread contributes an array of consecutive input elements. the call-back functor \p block_postfix_callback_op is invoked by the first warp in the block, and the value returned by lane0 in that warp is used as the "seed" value that logically postfixes the thread block's scan inputs. Also provides every thread with the block-wide \p block_aggregate of all inputs. + */ + template < + int ITEMS_PER_THREAD, + typename ScanOp, + typename BlockPostfixCallbackOp> + __device__ __forceinline__ void InclusiveReverseScan( + T (&input)[ITEMS_PER_THREAD], ///< [in] Calling thread's input items + T (&output)[ITEMS_PER_THREAD], ///< [out] Calling thread's output items (may be aliased to \p input) + ScanOp scan_op, ///< [in] Binary scan functor + BlockPostfixCallbackOp &block_postfix_callback_op) ///< [in-out] [warp0 only] Call-back functor for specifying a block-wide postfix to be applied to the logical input sequence. + { + // Reduce consecutive thread items in registers + T thread_postfix = ThreadReverseReduce(input, scan_op); + // Exclusive thread block-scan + ExclusiveReverseScan(thread_postfix, thread_postfix, scan_op, block_postfix_callback_op); + // Inclusive scan in registers with postfix as seed + ThreadReverseScanInclusive(input, output, scan_op, thread_postfix); + } + +}; \ No newline at end of file diff --git a/selective-scan/selective_scan.cpp b/selective-scan/selective_scan.cpp new file mode 100644 index 0000000000000000000000000000000000000000..a1f2016fa1a488e3af706b55290839dd3a887e68 --- /dev/null +++ b/selective-scan/selective_scan.cpp @@ -0,0 +1,497 @@ +/****************************************************************************** + * Copyright (c) 2023, Tri Dao. + ******************************************************************************/ + +#include +#include +#include +#include + +#include "selective_scan.h" + +#define CHECK_SHAPE(x, ...) TORCH_CHECK(x.sizes() == torch::IntArrayRef({__VA_ARGS__}), #x " must have shape (" #__VA_ARGS__ ")") + +#define DISPATCH_ITYPE_FLOAT_AND_HALF_AND_BF16(ITYPE, NAME, ...) \ + if (ITYPE == at::ScalarType::Half) { \ + using input_t = at::Half; \ + __VA_ARGS__(); \ + } else if (ITYPE == at::ScalarType::BFloat16) { \ + using input_t = at::BFloat16; \ + __VA_ARGS__(); \ + } else if (ITYPE == at::ScalarType::Float) { \ + using input_t = float; \ + __VA_ARGS__(); \ + } else { \ + AT_ERROR(#NAME, " not implemented for input type '", toString(ITYPE), "'"); \ + } + +#define DISPATCH_WTYPE_FLOAT_AND_HALF_AND_BF16(WTYPE, NAME, ...) \ + if (WTYPE == at::ScalarType::Half) { \ + using weight_t = at::Half; \ + __VA_ARGS__(); \ + } else if (WTYPE == at::ScalarType::BFloat16) { \ + using weight_t = at::BFloat16; \ + __VA_ARGS__(); \ + } else if (WTYPE == at::ScalarType::Float) { \ + using weight_t = float; \ + __VA_ARGS__(); \ + } else { \ + AT_ERROR(#NAME, " not implemented for weight type '", toString(WTYPE), "'"); \ + } + +#define DISPATCH_WTYPE_FLOAT_AND_COMPLEX(WTYPE, NAME, ...) \ + if (WTYPE == at::ScalarType::Float) { \ + using weight_t = float; \ + __VA_ARGS__(); \ + } else if (WTYPE == at::ScalarType::ComplexFloat) { \ + using weight_t = c10::complex; \ + __VA_ARGS__(); \ + } else { \ + AT_ERROR(#NAME, " not implemented for weight type '", toString(WTYPE), "'"); \ + } + +template +void selective_scan_fwd_cuda(SSMParamsBase ¶ms, cudaStream_t stream); + +template +void selective_scan_bwd_cuda(SSMParamsBwd ¶ms, cudaStream_t stream); + +void set_ssm_params_fwd(SSMParamsBase ¶ms, + // sizes + const size_t batch, + const size_t dim, + const size_t seqlen, + const size_t dstate, + const size_t n_groups, + const size_t n_chunks, + const bool is_variable_B, + const bool is_variable_C, + // device pointers + const at::Tensor u, + const at::Tensor delta, + const at::Tensor A, + const at::Tensor B, + const at::Tensor C, + const at::Tensor out, + const at::Tensor z, + const at::Tensor out_z, + void* D_ptr, + void* delta_bias_ptr, + void* x_ptr, + bool has_z, + bool delta_softplus) { + + // Reset the parameters + memset(¶ms, 0, sizeof(params)); + + params.batch = batch; + params.dim = dim; + params.seqlen = seqlen; + params.dstate = dstate; + params.n_groups = n_groups; + params.n_chunks = n_chunks; + params.dim_ngroups_ratio = dim / n_groups; + + params.delta_softplus = delta_softplus; + + params.is_variable_B = is_variable_B; + params.is_variable_C = is_variable_C; + + // Set the pointers and strides. + params.u_ptr = u.data_ptr(); + params.delta_ptr = delta.data_ptr(); + params.A_ptr = A.data_ptr(); + params.B_ptr = B.data_ptr(); + params.C_ptr = C.data_ptr(); + params.D_ptr = D_ptr; + params.delta_bias_ptr = delta_bias_ptr; + params.out_ptr = out.data_ptr(); + params.x_ptr = x_ptr; + params.z_ptr = has_z ? z.data_ptr() : nullptr; + params.out_z_ptr = has_z ? out_z.data_ptr() : nullptr; + // All stride are in elements, not bytes. + params.A_d_stride = A.stride(0); + params.A_dstate_stride = A.stride(1); + if (!is_variable_B) { + params.B_d_stride = B.stride(0); + } else { + params.B_batch_stride = B.stride(0); + params.B_group_stride = B.stride(1); + } + params.B_dstate_stride = !is_variable_B ? B.stride(1) : B.stride(2); + if (!is_variable_C) { + params.C_d_stride = C.stride(0); + } else { + params.C_batch_stride = C.stride(0); + params.C_group_stride = C.stride(1); + } + params.C_dstate_stride = !is_variable_C ? C.stride(1) : C.stride(2); + params.u_batch_stride = u.stride(0); + params.u_d_stride = u.stride(1); + params.delta_batch_stride = delta.stride(0); + params.delta_d_stride = delta.stride(1); + if (has_z) { + params.z_batch_stride = z.stride(0); + params.z_d_stride = z.stride(1); + params.out_z_batch_stride = out_z.stride(0); + params.out_z_d_stride = out_z.stride(1); + } + params.out_batch_stride = out.stride(0); + params.out_d_stride = out.stride(1); +} + +void set_ssm_params_bwd(SSMParamsBwd ¶ms, + // sizes + const size_t batch, + const size_t dim, + const size_t seqlen, + const size_t dstate, + const size_t n_groups, + const size_t n_chunks, + const bool is_variable_B, + const bool is_variable_C, + // device pointers + const at::Tensor u, + const at::Tensor delta, + const at::Tensor A, + const at::Tensor B, + const at::Tensor C, + const at::Tensor z, + const at::Tensor out, + const at::Tensor out_z, + void* D_ptr, + void* delta_bias_ptr, + void* x_ptr, + const at::Tensor dout, + const at::Tensor du, + const at::Tensor ddelta, + const at::Tensor dA, + const at::Tensor dB, + const at::Tensor dC, + const at::Tensor dz, + void* dD_ptr, + void* ddelta_bias_ptr, + bool has_z, + bool delta_softplus, + bool recompute_out_z) { + // Pass in "dout" instead of "out", we're not gonna use "out" unless we have z + set_ssm_params_fwd(params, batch, dim, seqlen, dstate, n_groups, n_chunks, is_variable_B, is_variable_C, + u, delta, A, B, C, has_z ? out : dout, + has_z ? z : dout, + // If not recompute_out_z, pass dout instead of out_z. + // This won't be used by the bwd kernel + recompute_out_z ? out_z : dout, + D_ptr, delta_bias_ptr, x_ptr, has_z, delta_softplus); + if (!recompute_out_z) { params.out_z_ptr = nullptr; } + + // Set the pointers and strides. + params.dout_ptr = dout.data_ptr(); + params.du_ptr = du.data_ptr(); + params.dA_ptr = dA.data_ptr(); + params.dB_ptr = dB.data_ptr(); + params.dC_ptr = dC.data_ptr(); + params.dD_ptr = dD_ptr; + params.ddelta_ptr = ddelta.data_ptr(); + params.ddelta_bias_ptr = ddelta_bias_ptr; + params.dz_ptr = has_z ? dz.data_ptr() : nullptr; + // All stride are in elements, not bytes. + params.dout_batch_stride = dout.stride(0); + params.dout_d_stride = dout.stride(1); + params.dA_d_stride = dA.stride(0); + params.dA_dstate_stride = dA.stride(1); + if (!is_variable_B) { + params.dB_d_stride = dB.stride(0); + } else { + params.dB_batch_stride = dB.stride(0); + params.dB_group_stride = dB.stride(1); + } + params.dB_dstate_stride = !is_variable_B ? dB.stride(1) : dB.stride(2); + if (!is_variable_C) { + params.dC_d_stride = dC.stride(0); + } else { + params.dC_batch_stride = dC.stride(0); + params.dC_group_stride = dC.stride(1); + } + params.dC_dstate_stride = !is_variable_C ? dC.stride(1) : dC.stride(2); + params.du_batch_stride = du.stride(0); + params.du_d_stride = du.stride(1); + params.ddelta_batch_stride = ddelta.stride(0); + params.ddelta_d_stride = ddelta.stride(1); + if (has_z) { + params.dz_batch_stride = dz.stride(0); + params.dz_d_stride = dz.stride(1); + } +} + +std::vector +selective_scan_fwd(const at::Tensor &u, const at::Tensor &delta, + const at::Tensor &A, const at::Tensor &B, const at::Tensor &C, + const c10::optional &D_, + const c10::optional &z_, + const c10::optional &delta_bias_, + bool delta_softplus) { + auto input_type = u.scalar_type(); + auto weight_type = A.scalar_type(); + TORCH_CHECK(input_type == at::ScalarType::Float || input_type == at::ScalarType::Half || input_type == at::ScalarType::BFloat16); + TORCH_CHECK(weight_type == at::ScalarType::Float || weight_type == at::ScalarType::ComplexFloat); + + const bool is_variable_B = B.dim() >= 3; + const bool is_variable_C = C.dim() >= 3; + const bool is_complex = weight_type == at::ScalarType::ComplexFloat; + + TORCH_CHECK(delta.scalar_type() == input_type); + TORCH_CHECK(B.scalar_type() == (!is_variable_B ? weight_type : input_type)); + TORCH_CHECK(C.scalar_type() == (!is_variable_C ? weight_type : input_type)); + + TORCH_CHECK(u.is_cuda()); + TORCH_CHECK(delta.is_cuda()); + TORCH_CHECK(A.is_cuda()); + TORCH_CHECK(B.is_cuda()); + TORCH_CHECK(C.is_cuda()); + + TORCH_CHECK(u.stride(-1) == 1 || u.size(-1) == 1); + TORCH_CHECK(delta.stride(-1) == 1 || delta.size(-1) == 1); + + const auto sizes = u.sizes(); + const int batch_size = sizes[0]; + const int dim = sizes[1]; + const int seqlen = sizes[2]; + const int dstate = A.size(1); + const int n_groups = is_variable_B ? B.size(1) : 1; + + TORCH_CHECK(dstate <= 256, "selective_scan only supports state dimension <= 256"); + + CHECK_SHAPE(u, batch_size, dim, seqlen); + CHECK_SHAPE(delta, batch_size, dim, seqlen); + CHECK_SHAPE(A, dim, dstate); + if (!is_variable_B) { + CHECK_SHAPE(B, dim, dstate); + } else { + CHECK_SHAPE(B, batch_size, n_groups, dstate, !is_complex ? seqlen : seqlen * 2); + TORCH_CHECK(B.stride(-1) == 1 || B.size(-1) == 1); + } + if (!is_variable_C) { + CHECK_SHAPE(C, dim, dstate); + } else { + CHECK_SHAPE(C, batch_size, n_groups, dstate, !is_complex ? seqlen: seqlen * 2); + TORCH_CHECK(C.stride(-1) == 1 || C.size(-1) == 1); + } + + if (D_.has_value()) { + auto D = D_.value(); + TORCH_CHECK(D.scalar_type() == at::ScalarType::Float); + TORCH_CHECK(D.is_cuda()); + TORCH_CHECK(D.stride(-1) == 1 || D.size(-1) == 1); + CHECK_SHAPE(D, dim); + } + + if (delta_bias_.has_value()) { + auto delta_bias = delta_bias_.value(); + TORCH_CHECK(delta_bias.scalar_type() == at::ScalarType::Float); + TORCH_CHECK(delta_bias.is_cuda()); + TORCH_CHECK(delta_bias.stride(-1) == 1 || delta_bias.size(-1) == 1); + CHECK_SHAPE(delta_bias, dim); + } + + at::Tensor z, out_z; + const bool has_z = z_.has_value(); + if (has_z) { + z = z_.value(); + TORCH_CHECK(z.scalar_type() == input_type); + TORCH_CHECK(z.is_cuda()); + TORCH_CHECK(z.stride(-1) == 1 || z.size(-1) == 1); + CHECK_SHAPE(z, batch_size, dim, seqlen); + out_z = torch::empty_like(z); + } + + const int n_chunks = (seqlen + 2048 - 1) / 2048; + // const int n_chunks = (seqlen + 1024 - 1) / 1024; + // at::Tensor out = torch::empty_like(u); + // Right now u has BHL layout and delta has HBL layout, and we want out to have HBL layout + at::Tensor out = torch::empty_like(delta); + at::Tensor x; + x = torch::empty({batch_size, dim, n_chunks, dstate * 2}, u.options().dtype(weight_type)); + + SSMParamsBase params; + set_ssm_params_fwd(params, batch_size, dim, seqlen, dstate, n_groups, n_chunks, is_variable_B, is_variable_C, + u, delta, A, B, C, out, z, out_z, + D_.has_value() ? D_.value().data_ptr() : nullptr, + delta_bias_.has_value() ? delta_bias_.value().data_ptr() : nullptr, + x.data_ptr(), + has_z, + delta_softplus); + + // Otherwise the kernel will be launched from cuda:0 device + // Cast to char to avoid compiler warning about narrowing + at::cuda::CUDAGuard device_guard{u.device()}; + auto stream = at::cuda::getCurrentCUDAStream().stream(); + DISPATCH_ITYPE_FLOAT_AND_HALF_AND_BF16(u.scalar_type(), "selective_scan_fwd", [&] { + DISPATCH_WTYPE_FLOAT_AND_COMPLEX(A.scalar_type(), "selective_scan_fwd", [&] { + selective_scan_fwd_cuda(params, stream); + }); + }); + std::vector result = {out, x}; + if (has_z) { result.push_back(out_z); } + return result; +} + +std::vector +selective_scan_bwd(const at::Tensor &u, const at::Tensor &delta, + const at::Tensor &A, const at::Tensor &B, const at::Tensor &C, + const c10::optional &D_, + const c10::optional &z_, + const c10::optional &delta_bias_, + const at::Tensor &dout, + const c10::optional &x_, + const c10::optional &out_, + c10::optional dz_, + bool delta_softplus, + bool recompute_out_z) { + auto input_type = u.scalar_type(); + auto weight_type = A.scalar_type(); + TORCH_CHECK(input_type == at::ScalarType::Float || input_type == at::ScalarType::Half || input_type == at::ScalarType::BFloat16); + TORCH_CHECK(weight_type == at::ScalarType::Float || weight_type == at::ScalarType::ComplexFloat); + + const bool is_variable_B = B.dim() >= 3; + const bool is_variable_C = C.dim() >= 3; + const bool is_complex = weight_type == at::ScalarType::ComplexFloat; + + TORCH_CHECK(delta.scalar_type() == input_type); + TORCH_CHECK(B.scalar_type() == (!is_variable_B ? weight_type : input_type)); + TORCH_CHECK(C.scalar_type() == (!is_variable_C ? weight_type : input_type)); + TORCH_CHECK(dout.scalar_type() == input_type); + + TORCH_CHECK(u.is_cuda()); + TORCH_CHECK(delta.is_cuda()); + TORCH_CHECK(A.is_cuda()); + TORCH_CHECK(B.is_cuda()); + TORCH_CHECK(C.is_cuda()); + TORCH_CHECK(dout.is_cuda()); + + TORCH_CHECK(u.stride(-1) == 1 || u.size(-1) == 1); + TORCH_CHECK(delta.stride(-1) == 1 || delta.size(-1) == 1); + TORCH_CHECK(dout.stride(-1) == 1 || dout.size(-1) == 1); + + const auto sizes = u.sizes(); + const int batch_size = sizes[0]; + const int dim = sizes[1]; + const int seqlen = sizes[2]; + const int dstate = A.size(1); + const int n_groups = is_variable_B ? B.size(1) : 1; + + TORCH_CHECK(dstate <= 256, "selective_scan only supports state dimension <= 256"); + + CHECK_SHAPE(u, batch_size, dim, seqlen); + CHECK_SHAPE(delta, batch_size, dim, seqlen); + CHECK_SHAPE(A, dim, dstate); + if (!is_variable_B) { + CHECK_SHAPE(B, dim, dstate); + } else { + CHECK_SHAPE(B, batch_size, n_groups, dstate, !is_complex ? seqlen : seqlen * 2); + TORCH_CHECK(B.stride(-1) == 1 || B.size(-1) == 1); + } + if (!is_variable_C) { + CHECK_SHAPE(C, dim, dstate); + } else { + CHECK_SHAPE(C, batch_size, n_groups, dstate, !is_complex ? seqlen: seqlen * 2); + TORCH_CHECK(C.stride(-1) == 1 || C.size(-1) == 1); + } + CHECK_SHAPE(dout, batch_size, dim, seqlen); + + if (D_.has_value()) { + auto D = D_.value(); + TORCH_CHECK(D.scalar_type() == at::ScalarType::Float); + TORCH_CHECK(D.is_cuda()); + TORCH_CHECK(D.stride(-1) == 1 || D.size(-1) == 1); + CHECK_SHAPE(D, dim); + } + + if (delta_bias_.has_value()) { + auto delta_bias = delta_bias_.value(); + TORCH_CHECK(delta_bias.scalar_type() == at::ScalarType::Float); + TORCH_CHECK(delta_bias.is_cuda()); + TORCH_CHECK(delta_bias.stride(-1) == 1 || delta_bias.size(-1) == 1); + CHECK_SHAPE(delta_bias, dim); + } + + at::Tensor z, out, dz, out_z; + const bool has_z = z_.has_value(); + if (has_z) { + z = z_.value(); + TORCH_CHECK(z.scalar_type() == input_type); + TORCH_CHECK(z.is_cuda()); + TORCH_CHECK(z.stride(-1) == 1 || z.size(-1) == 1); + CHECK_SHAPE(z, batch_size, dim, seqlen); + + TORCH_CHECK(out_.has_value()); + out = out_.value(); + TORCH_CHECK(out.scalar_type() == input_type); + TORCH_CHECK(out.is_cuda()); + TORCH_CHECK(out.stride(-1) == 1 || out.size(-1) == 1); + CHECK_SHAPE(out, batch_size, dim, seqlen); + + if (dz_.has_value()) { + dz = dz_.value(); + TORCH_CHECK(dz.scalar_type() == input_type); + TORCH_CHECK(dz.is_cuda()); + TORCH_CHECK(dz.stride(-1) == 1 || dz.size(-1) == 1); + CHECK_SHAPE(dz, batch_size, dim, seqlen); + } else { + dz = torch::empty_like(z); + } + if (recompute_out_z) { + out_z = torch::empty_like(out); + } + } + + const int n_chunks = (seqlen + 2048 - 1) / 2048; + // const int n_chunks = (seqlen + 1024 - 1) / 1024; + if (n_chunks > 1) { TORCH_CHECK(x_.has_value()); } + if (x_.has_value()) { + auto x = x_.value(); + TORCH_CHECK(x.scalar_type() == weight_type); + TORCH_CHECK(x.is_cuda()); + TORCH_CHECK(x.is_contiguous()); + CHECK_SHAPE(x, batch_size, dim, n_chunks, 2 * dstate); + } + + at::Tensor du = torch::empty_like(u); + at::Tensor ddelta = torch::empty_like(delta); + at::Tensor dA = torch::zeros_like(A); + at::Tensor dB = !is_variable_B ? torch::zeros_like(B) : torch::zeros_like(B, B.options().dtype(torch::kFloat32)); + at::Tensor dC = !is_variable_C ? torch::zeros_like(C) : torch::zeros_like(C, C.options().dtype(torch::kFloat32)); + at::Tensor dD; + if (D_.has_value()) { dD = torch::zeros_like(D_.value()); } + at::Tensor ddelta_bias; + if (delta_bias_.has_value()) { ddelta_bias = torch::zeros_like(delta_bias_.value()); } + + SSMParamsBwd params; + set_ssm_params_bwd(params, batch_size, dim, seqlen, dstate, n_groups, n_chunks, is_variable_B, is_variable_C, + u, delta, A, B, C, z, out, out_z, + D_.has_value() ? D_.value().data_ptr() : nullptr, + delta_bias_.has_value() ? delta_bias_.value().data_ptr() : nullptr, + x_.has_value() ? x_.value().data_ptr() : nullptr, + dout, du, ddelta, dA, dB, dC, dz, + D_.has_value() ? dD.data_ptr() : nullptr, + delta_bias_.has_value() ? ddelta_bias.data_ptr() : nullptr, + has_z, delta_softplus, recompute_out_z); + + // Otherwise the kernel will be launched from cuda:0 device + // Cast to char to avoid compiler warning about narrowing + at::cuda::CUDAGuard device_guard{u.device()}; + auto stream = at::cuda::getCurrentCUDAStream().stream(); + DISPATCH_ITYPE_FLOAT_AND_HALF_AND_BF16(u.scalar_type(), "selective_scan_bwd", [&] { + DISPATCH_WTYPE_FLOAT_AND_COMPLEX(A.scalar_type(), "selective_scan_bwd", [&] { + selective_scan_bwd_cuda(params, stream); + }); + }); + std::vector result = {du, ddelta, dA, dB.to(B.dtype()), dC.to(C.dtype()), dD, ddelta_bias}; + if (has_z) { result.push_back(dz); } + if (recompute_out_z) { result.push_back(out_z); } + return result; +} + +//PYBIND11_MODULE(TORCH_EXTENSION_NAME, m) { +// m.def("fwd", &selective_scan_fwd, "Selective scan forward"); +// m.def("bwd", &selective_scan_bwd, "Selective scan backward"); +//} diff --git a/selective-scan/selective_scan.h b/selective-scan/selective_scan.h new file mode 100644 index 0000000000000000000000000000000000000000..e2c7bcdbd5ddadc5975caa641ecb1dcd3b73dafd --- /dev/null +++ b/selective-scan/selective_scan.h @@ -0,0 +1,101 @@ +/****************************************************************************** + * Copyright (c) 2023, Tri Dao. + ******************************************************************************/ + +#pragma once + +//////////////////////////////////////////////////////////////////////////////////////////////////// + +struct SSMScanParamsBase { + using index_t = uint32_t; + + int batch, seqlen, n_chunks; + index_t a_batch_stride; + index_t b_batch_stride; + index_t out_batch_stride; + + // Common data pointers. + void *__restrict__ a_ptr; + void *__restrict__ b_ptr; + void *__restrict__ out_ptr; + void *__restrict__ x_ptr; +}; + +//////////////////////////////////////////////////////////////////////////////////////////////////// + +struct SSMParamsBase { + using index_t = uint32_t; + + int batch, dim, seqlen, dstate, n_groups, n_chunks; + int dim_ngroups_ratio; + bool is_variable_B; + bool is_variable_C; + + bool delta_softplus; + + index_t A_d_stride; + index_t A_dstate_stride; + index_t B_batch_stride; + index_t B_d_stride; + index_t B_dstate_stride; + index_t B_group_stride; + index_t C_batch_stride; + index_t C_d_stride; + index_t C_dstate_stride; + index_t C_group_stride; + index_t u_batch_stride; + index_t u_d_stride; + index_t delta_batch_stride; + index_t delta_d_stride; + index_t z_batch_stride; + index_t z_d_stride; + index_t out_batch_stride; + index_t out_d_stride; + index_t out_z_batch_stride; + index_t out_z_d_stride; + + // Common data pointers. + void *__restrict__ A_ptr; + void *__restrict__ B_ptr; + void *__restrict__ C_ptr; + void *__restrict__ D_ptr; + void *__restrict__ u_ptr; + void *__restrict__ delta_ptr; + void *__restrict__ delta_bias_ptr; + void *__restrict__ out_ptr; + void *__restrict__ x_ptr; + void *__restrict__ z_ptr; + void *__restrict__ out_z_ptr; +}; + +struct SSMParamsBwd: public SSMParamsBase { + index_t dout_batch_stride; + index_t dout_d_stride; + index_t dA_d_stride; + index_t dA_dstate_stride; + index_t dB_batch_stride; + index_t dB_group_stride; + index_t dB_d_stride; + index_t dB_dstate_stride; + index_t dC_batch_stride; + index_t dC_group_stride; + index_t dC_d_stride; + index_t dC_dstate_stride; + index_t du_batch_stride; + index_t du_d_stride; + index_t dz_batch_stride; + index_t dz_d_stride; + index_t ddelta_batch_stride; + index_t ddelta_d_stride; + + // Common data pointers. + void *__restrict__ dout_ptr; + void *__restrict__ dA_ptr; + void *__restrict__ dB_ptr; + void *__restrict__ dC_ptr; + void *__restrict__ dD_ptr; + void *__restrict__ du_ptr; + void *__restrict__ dz_ptr; + void *__restrict__ ddelta_ptr; + void *__restrict__ ddelta_bias_ptr; +}; diff --git a/selective-scan/selective_scan_bwd_bf16_complex.cu b/selective-scan/selective_scan_bwd_bf16_complex.cu new file mode 100644 index 0000000000000000000000000000000000000000..c55f0e858af4ebd246a5d251308ab920b4e01a50 --- /dev/null +++ b/selective-scan/selective_scan_bwd_bf16_complex.cu @@ -0,0 +1,9 @@ +/****************************************************************************** + * Copyright (c) 2023, Tri Dao. + ******************************************************************************/ + +// Split into multiple files to compile in paralell + +#include "selective_scan_bwd_kernel.cuh" + +template void selective_scan_bwd_cuda(SSMParamsBwd ¶ms, cudaStream_t stream); \ No newline at end of file diff --git a/selective-scan/selective_scan_bwd_bf16_real.cu b/selective-scan/selective_scan_bwd_bf16_real.cu new file mode 100644 index 0000000000000000000000000000000000000000..72adaf5cb13c6429e2f345a0a823c6bc3722b95a --- /dev/null +++ b/selective-scan/selective_scan_bwd_bf16_real.cu @@ -0,0 +1,9 @@ +/****************************************************************************** + * Copyright (c) 2023, Tri Dao. + ******************************************************************************/ + +// Split into multiple files to compile in paralell + +#include "selective_scan_bwd_kernel.cuh" + +template void selective_scan_bwd_cuda(SSMParamsBwd ¶ms, cudaStream_t stream); \ No newline at end of file diff --git a/selective-scan/selective_scan_bwd_fp16_complex.cu b/selective-scan/selective_scan_bwd_fp16_complex.cu new file mode 100644 index 0000000000000000000000000000000000000000..df126d7c8d5f9f0862273d2fe21ea15b35757b64 --- /dev/null +++ b/selective-scan/selective_scan_bwd_fp16_complex.cu @@ -0,0 +1,9 @@ +/****************************************************************************** + * Copyright (c) 2023, Tri Dao. + ******************************************************************************/ + +// Split into multiple files to compile in paralell + +#include "selective_scan_bwd_kernel.cuh" + +template void selective_scan_bwd_cuda(SSMParamsBwd ¶ms, cudaStream_t stream); \ No newline at end of file diff --git a/selective-scan/selective_scan_bwd_fp16_real.cu b/selective-scan/selective_scan_bwd_fp16_real.cu new file mode 100644 index 0000000000000000000000000000000000000000..3ff271b50eaff208ae33c16c87ab7aaee76dfd76 --- /dev/null +++ b/selective-scan/selective_scan_bwd_fp16_real.cu @@ -0,0 +1,9 @@ +/****************************************************************************** + * Copyright (c) 2023, Tri Dao. + ******************************************************************************/ + +// Split into multiple files to compile in paralell + +#include "selective_scan_bwd_kernel.cuh" + +template void selective_scan_bwd_cuda(SSMParamsBwd ¶ms, cudaStream_t stream); \ No newline at end of file diff --git a/selective-scan/selective_scan_bwd_fp32_complex.cu b/selective-scan/selective_scan_bwd_fp32_complex.cu new file mode 100644 index 0000000000000000000000000000000000000000..5554902342785b289b81c060a71a51734fc1e6bf --- /dev/null +++ b/selective-scan/selective_scan_bwd_fp32_complex.cu @@ -0,0 +1,9 @@ +/****************************************************************************** + * Copyright (c) 2023, Tri Dao. + ******************************************************************************/ + +// Split into multiple files to compile in paralell + +#include "selective_scan_bwd_kernel.cuh" + +template void selective_scan_bwd_cuda(SSMParamsBwd ¶ms, cudaStream_t stream); \ No newline at end of file diff --git a/selective-scan/selective_scan_bwd_fp32_real.cu b/selective-scan/selective_scan_bwd_fp32_real.cu new file mode 100644 index 0000000000000000000000000000000000000000..a7ed642231da80c455c0499702cc8a1cb4536ec2 --- /dev/null +++ b/selective-scan/selective_scan_bwd_fp32_real.cu @@ -0,0 +1,9 @@ +/****************************************************************************** + * Copyright (c) 2023, Tri Dao. + ******************************************************************************/ + +// Split into multiple files to compile in paralell + +#include "selective_scan_bwd_kernel.cuh" + +template void selective_scan_bwd_cuda(SSMParamsBwd ¶ms, cudaStream_t stream); \ No newline at end of file diff --git a/selective-scan/selective_scan_bwd_kernel.cuh b/selective-scan/selective_scan_bwd_kernel.cuh new file mode 100755 index 0000000000000000000000000000000000000000..c720ba28c0c89937128c3d3517e115a1f4f2fc43 --- /dev/null +++ b/selective-scan/selective_scan_bwd_kernel.cuh @@ -0,0 +1,561 @@ +/****************************************************************************** + * Copyright (c) 2023, Tri Dao. + ******************************************************************************/ + +#pragma once + +#include +#include +#include // For C10_CUDA_CHECK and C10_CUDA_KERNEL_LAUNCH_CHECK +#include // For atomicAdd on complex + +#ifndef USE_ROCM + #include + #include + #include + #include +#else + #include + namespace cub = hipcub; +#endif + +#include "selective_scan.h" +#include "selective_scan_common.h" +#include "reverse_scan.cuh" +#include "static_switch.h" + +template __device__ __forceinline__ scalar_t conj(scalar_t x); +template<> __device__ __forceinline__ float conj(float x) { return x; } +template<> __device__ __forceinline__ complex_t conj(complex_t x) { return std::conj(x); } + +template +struct Selective_Scan_bwd_kernel_traits { + static_assert(kNItems_ % 4 == 0); + using input_t = input_t_; + using weight_t = weight_t_; + static constexpr int kNThreads = kNThreads_; + static constexpr int kNItems = kNItems_; + static constexpr int kNBytes = sizeof(input_t); + static_assert(kNBytes == 2 || kNBytes == 4); + static constexpr int kNElts = kNBytes == 4 ? 4 : constexpr_min(8, kNItems); + static_assert(kNItems % kNElts == 0); + static constexpr int kNLoads = kNItems / kNElts; + static constexpr bool kIsComplex = std::is_same_v; + static constexpr bool kIsEvenLen = kIsEvenLen_; + static constexpr bool kIsVariableB = kIsVariableB_; + static constexpr bool kIsVariableC = kIsVariableC_; + static constexpr bool kDeltaSoftplus = kDeltaSoftplus_; + static constexpr bool kHasZ = kHasZ_; + // Setting MinBlocksPerMP to be 3 (instead of 2) for 128 threads with float improves occupancy. + // For complex this would lead to massive register spilling, so we keep it at 2. + static constexpr int kMinBlocks = kNThreads == 128 && !kIsComplex ? 3 : 2; + using vec_t = typename BytesToType::Type; + using scan_t = std::conditional_t; + using BlockLoadT = cub::BlockLoad; + using BlockLoadVecT = cub::BlockLoad; + using BlockLoadWeightT = cub::BlockLoad; + using BlockLoadWeightVecT = cub::BlockLoad; + using BlockStoreT = cub::BlockStore; + using BlockStoreVecT = cub::BlockStore; + // using BlockScanT = cub::BlockScan; + using BlockScanT = cub::BlockScan; + // using BlockScanT = cub::BlockScan; + using BlockReverseScanT = BlockReverseScan; + using BlockReduceT = cub::BlockReduce; + using BlockReduceFloatT = cub::BlockReduce; + using BlockReduceComplexT = cub::BlockReduce; + using BlockExchangeT = cub::BlockExchange; + + static constexpr int kSmemIOSize = custom_max({sizeof(typename BlockLoadT::TempStorage), + sizeof(typename BlockLoadVecT::TempStorage), + (int(kIsVariableB) + int(kIsVariableC)) * sizeof(typename BlockLoadWeightT::TempStorage), + (int(kIsVariableB) + int(kIsVariableC)) * sizeof(typename BlockLoadWeightVecT::TempStorage), + sizeof(typename BlockStoreT::TempStorage), + sizeof(typename BlockStoreVecT::TempStorage)}); + static constexpr int kSmemExchangeSize = (int(kIsVariableB) + int(kIsVariableC)) * sizeof(typename BlockExchangeT::TempStorage); + static constexpr int kSmemReduceSize = sizeof(typename BlockReduceT::TempStorage); + static constexpr int kSmemSize = kSmemIOSize + kSmemExchangeSize + kSmemReduceSize + sizeof(typename BlockScanT::TempStorage) + sizeof(typename BlockReverseScanT::TempStorage); +}; + +template +__global__ __launch_bounds__(Ktraits::kNThreads, Ktraits::kMinBlocks) +void selective_scan_bwd_kernel(SSMParamsBwd params) { + constexpr bool kIsComplex = Ktraits::kIsComplex; + constexpr bool kIsVariableB = Ktraits::kIsVariableB; + constexpr bool kIsVariableC = Ktraits::kIsVariableC; + constexpr bool kDeltaSoftplus = Ktraits::kDeltaSoftplus; + constexpr bool kHasZ = Ktraits::kHasZ; + constexpr int kNThreads = Ktraits::kNThreads; + constexpr int kNItems = Ktraits::kNItems; + using input_t = typename Ktraits::input_t; + using weight_t = typename Ktraits::weight_t; + using scan_t = typename Ktraits::scan_t; + + // Shared memory. + extern __shared__ char smem_[]; + // cast to lvalue reference of expected type + // char *smem_loadstorescan = smem_ + 2 * MAX_DSTATE * sizeof(weight_t); + // auto& smem_load = reinterpret_cast(smem_ + 2 * MAX_DSTATE * sizeof(weight_t)); + // auto& smem_load = reinterpret_cast(smem_loadstorescan); + auto& smem_load = reinterpret_cast(smem_); + auto& smem_load_weight = reinterpret_cast(smem_); + auto& smem_load_weight1 = *reinterpret_cast(smem_ + sizeof(typename Ktraits::BlockLoadWeightT::TempStorage)); + auto& smem_store = reinterpret_cast(smem_); + auto& smem_exchange = *reinterpret_cast(smem_ + Ktraits::kSmemIOSize); + auto& smem_exchange1 = *reinterpret_cast(smem_ + Ktraits::kSmemIOSize + sizeof(typename Ktraits::BlockExchangeT::TempStorage)); + auto& smem_reduce = *reinterpret_cast(reinterpret_cast(&smem_exchange) + Ktraits::kSmemExchangeSize); + auto& smem_reduce_float = *reinterpret_cast(&smem_reduce); + auto& smem_reduce_complex = *reinterpret_cast(&smem_reduce); + auto& smem_scan = *reinterpret_cast(reinterpret_cast(&smem_reduce) + Ktraits::kSmemReduceSize); + auto& smem_reverse_scan = *reinterpret_cast(reinterpret_cast(&smem_scan) + sizeof(typename Ktraits::BlockScanT::TempStorage)); + weight_t *smem_delta_a = reinterpret_cast(smem_ + Ktraits::kSmemSize); + scan_t *smem_running_postfix = reinterpret_cast(smem_delta_a + 2 * MAX_DSTATE + kNThreads); + weight_t *smem_da = reinterpret_cast(smem_running_postfix + MAX_DSTATE); + weight_t *smem_dbc = reinterpret_cast(smem_da + MAX_DSTATE); + + const int batch_id = blockIdx.x; + const int dim_id = blockIdx.y; + const int group_id = dim_id / (params.dim_ngroups_ratio); + input_t *u = reinterpret_cast(params.u_ptr) + batch_id * params.u_batch_stride + + dim_id * params.u_d_stride; + input_t *delta = reinterpret_cast(params.delta_ptr) + batch_id * params.delta_batch_stride + + dim_id * params.delta_d_stride; + input_t *dout = reinterpret_cast(params.dout_ptr) + batch_id * params.dout_batch_stride + + dim_id * params.dout_d_stride; + weight_t *A = reinterpret_cast(params.A_ptr) + dim_id * params.A_d_stride; + weight_t *B = reinterpret_cast(params.B_ptr) + dim_id * params.B_d_stride; + input_t *Bvar = reinterpret_cast(params.B_ptr) + batch_id * params.B_batch_stride + group_id * params.B_group_stride; + weight_t *C = reinterpret_cast(params.C_ptr) + dim_id * params.C_d_stride; + input_t *Cvar = reinterpret_cast(params.C_ptr) + batch_id * params.C_batch_stride + group_id * params.C_group_stride; + weight_t *dA = reinterpret_cast(params.dA_ptr) + dim_id * params.dA_d_stride; + weight_t *dB = reinterpret_cast(params.dB_ptr) + + (!kIsVariableB ? dim_id * params.dB_d_stride : batch_id * (!kIsComplex ? params.dB_batch_stride : params.dB_batch_stride / 2) + group_id * params.dB_group_stride); + weight_t *dC = reinterpret_cast(params.dC_ptr) + + (!kIsVariableC ? dim_id * params.dC_d_stride : batch_id * (!kIsComplex ? params.dC_batch_stride : params.dC_batch_stride / 2) + group_id * params.dC_group_stride); + float *dD = params.dD_ptr == nullptr ? nullptr : reinterpret_cast(params.dD_ptr) + dim_id; + float D_val = params.D_ptr == nullptr ? 0 : reinterpret_cast(params.D_ptr)[dim_id]; + float *ddelta_bias = params.ddelta_bias_ptr == nullptr ? nullptr : reinterpret_cast(params.ddelta_bias_ptr) + dim_id; + float delta_bias = params.delta_bias_ptr == nullptr ? 0 : reinterpret_cast(params.delta_bias_ptr)[dim_id]; + scan_t *x = params.x_ptr == nullptr + ? nullptr + : reinterpret_cast(params.x_ptr) + (batch_id * params.dim + dim_id) * (params.n_chunks) * params.dstate; + float dD_val = 0; + float ddelta_bias_val = 0; + + constexpr int kChunkSize = kNThreads * kNItems; + u += (params.n_chunks - 1) * kChunkSize; + delta += (params.n_chunks - 1) * kChunkSize; + dout += (params.n_chunks - 1) * kChunkSize; + Bvar += (params.n_chunks - 1) * kChunkSize * (!kIsComplex ? 1 : 2); + Cvar += (params.n_chunks - 1) * kChunkSize * (!kIsComplex ? 1 : 2); + for (int chunk = params.n_chunks - 1; chunk >= 0; --chunk) { + input_t u_vals[kNItems]; + input_t delta_vals_load[kNItems]; + input_t dout_vals_load[kNItems]; + __syncthreads(); + load_input(u, u_vals, smem_load, params.seqlen - chunk * kChunkSize); + u -= kChunkSize; + __syncthreads(); + load_input(delta, delta_vals_load, smem_load, params.seqlen - chunk * kChunkSize); + // Will reload delta at the same location if kDeltaSoftplus + if constexpr (!kDeltaSoftplus) { delta -= kChunkSize; } + __syncthreads(); + load_input(dout, dout_vals_load, smem_load, params.seqlen - chunk * kChunkSize); + dout -= kChunkSize; + + float dout_vals[kNItems], delta_vals[kNItems]; + #pragma unroll + for (int i = 0; i < kNItems; ++i) { + dout_vals[i] = float(dout_vals_load[i]); + delta_vals[i] = float(delta_vals_load[i]) + delta_bias; + if constexpr (kDeltaSoftplus) { + delta_vals[i] = delta_vals[i] <= 20.f ? log1pf(expf(delta_vals[i])) : delta_vals[i]; + } + } + + if constexpr (kHasZ) { + input_t *z = reinterpret_cast(params.z_ptr) + batch_id * params.z_batch_stride + + dim_id * params.z_d_stride + chunk * kChunkSize; + input_t *out = reinterpret_cast(params.out_ptr) + batch_id * params.out_batch_stride + + dim_id * params.out_d_stride + chunk * kChunkSize; + input_t *dz = reinterpret_cast(params.dz_ptr) + batch_id * params.dz_batch_stride + + dim_id * params.dz_d_stride + chunk * kChunkSize; + input_t z_vals[kNItems], out_vals[kNItems]; + __syncthreads(); + load_input(z, z_vals, smem_load, params.seqlen - chunk * kChunkSize); + __syncthreads(); + load_input(out, out_vals, smem_load, params.seqlen - chunk * kChunkSize); + float dz_vals[kNItems], z_silu_vals[kNItems]; + #pragma unroll + for (int i = 0; i < kNItems; ++i) { + float z_val = z_vals[i]; + float z_sigmoid_val = 1.0f / (1.0f + expf(-z_val)); + z_silu_vals[i] = z_val * z_sigmoid_val; + dz_vals[i] = dout_vals[i] * float(out_vals[i]) * z_sigmoid_val + * (1.0f + z_val * (1.0f - z_sigmoid_val)); + dout_vals[i] *= z_silu_vals[i]; + } + __syncthreads(); + store_output(dz, dz_vals, smem_store, params.seqlen - chunk * kChunkSize); + if (params.out_z_ptr != nullptr) { // Recompute and store out_z + float out_z_vals[kNItems]; + #pragma unroll + for (int i = 0; i < kNItems; ++i) { out_z_vals[i] = float(out_vals[i]) * z_silu_vals[i]; } + // if (blockIdx.x == 0 && blockIdx.y == 0 && threadIdx.x == 0) { + // printf("out_val=%f, z_silu_val = %f, out_z_val = %f\n", float(out_vals[0]), z_silu_vals[0], out_z_vals[0]); + // } + input_t *out_z = reinterpret_cast(params.out_z_ptr) + batch_id * params.out_z_batch_stride + + dim_id * params.out_z_d_stride + chunk * kChunkSize; + __syncthreads(); + store_output(out_z, out_z_vals, smem_store, params.seqlen - chunk * kChunkSize); + } + } + + float du_vals[kNItems]; + #pragma unroll + for (int i = 0; i < kNItems; ++i) { du_vals[i] = D_val * dout_vals[i]; } + #pragma unroll + for (int i = 0; i < kNItems; ++i) { dD_val += dout_vals[i] * float(u_vals[i]); } + + float ddelta_vals[kNItems] = {0}; + __syncthreads(); + for (int state_idx = 0; state_idx < params.dstate; ++state_idx) { + const weight_t A_val = A[state_idx * params.A_dstate_stride]; + // Multiply the real part of A with LOG2E so we can use exp2f instead of expf. + weight_t A_scaled; + constexpr float kLog2e = M_LOG2E; + if constexpr (!kIsComplex) { + A_scaled = A_val * kLog2e; + } else { + A_scaled = complex_t(A_val.real_ * kLog2e, A_val.imag_); + } + weight_t B_val, C_val; + weight_t B_vals[kNItems], C_vals[kNItems]; + if constexpr (!kIsVariableB) { + B_val = B[state_idx * params.B_dstate_stride]; + } else { + load_weight(Bvar + state_idx * params.B_dstate_stride, B_vals, + smem_load_weight, (params.seqlen - chunk * kChunkSize) * (!kIsComplex ? 1 : 2)); + } + if constexpr (!kIsVariableC) { + C_val = C[state_idx * params.C_dstate_stride]; + } else { + auto &smem_load_weight_C = !kIsVariableB ? smem_load_weight : smem_load_weight1; + load_weight(Cvar + state_idx * params.C_dstate_stride, C_vals, + smem_load_weight_C, (params.seqlen - chunk * kChunkSize) * (!kIsComplex ? 1 : 2)); + } + // const weight_t A_val = smem_a[state_idx]; + scan_t thread_data[kNItems], thread_reverse_data[kNItems]; + if constexpr (!kIsComplex) { + #pragma unroll + for (int i = 0; i < kNItems; ++i) { + const float delta_a_exp = exp2f(delta_vals[i] * A_scaled); + thread_data[i] = make_float2(delta_a_exp, !kIsVariableB ? delta_vals[i] * float(u_vals[i]) : delta_vals[i] * float(u_vals[i]) * B_vals[i]); + if (i == 0) { + smem_delta_a[threadIdx.x == 0 ? state_idx + (chunk % 2) * MAX_DSTATE : threadIdx.x + 2 * MAX_DSTATE] = delta_a_exp; + } else { + thread_reverse_data[i - 1].x = delta_a_exp; + } + thread_reverse_data[i].y = dout_vals[i] * + (!kIsVariableC + ? (!kIsVariableB ? B_val * C_val : C_val) + : (!kIsVariableB ? B_val * C_vals[i] : C_vals[i])); + } + __syncthreads(); + thread_reverse_data[kNItems - 1].x = threadIdx.x == kNThreads - 1 + ? (chunk == params.n_chunks - 1 ? 1.f : smem_delta_a[state_idx + ((chunk + 1) % 2) * MAX_DSTATE]) + : smem_delta_a[threadIdx.x + 1 + 2 * MAX_DSTATE]; + // Initialize running total + scan_t running_prefix = chunk > 0 && threadIdx.x % 32 == 0 ? x[(chunk - 1) * params.dstate + state_idx] : make_float2(1.f, 0.f); + SSMScanPrefixCallbackOp prefix_op(running_prefix); + typename Ktraits::BlockScanT(smem_scan).InclusiveScan( + thread_data, thread_data, SSMScanOp(), prefix_op + ); + scan_t running_postfix = chunk < params.n_chunks - 1 && threadIdx.x % 32 == 0 ? smem_running_postfix[state_idx] : make_float2(1.f, 0.f); + SSMScanPrefixCallbackOp postfix_op(running_postfix); + typename Ktraits::BlockReverseScanT(smem_reverse_scan).InclusiveReverseScan( + thread_reverse_data, thread_reverse_data, SSMScanOp(), postfix_op + ); + if (threadIdx.x == 0) { smem_running_postfix[state_idx] = postfix_op.running_prefix; } + weight_t dA_val = 0, dBC_val = 0; + weight_t dB_vals[kNItems], dC_vals[kNItems]; + #pragma unroll + for (int i = 0; i < kNItems; ++i) { + const float dx = thread_reverse_data[i].y; + const float ddelta_u = !kIsVariableB ? dx : dx * B_vals[i]; + du_vals[i] += ddelta_u * delta_vals[i]; + const float a = thread_data[i].y - (!kIsVariableB ? delta_vals[i] * float(u_vals[i]) : delta_vals[i] * float(u_vals[i]) * B_vals[i]); + ddelta_vals[i] += ddelta_u * float(u_vals[i]) + dx * A_val * a; + dA_val += dx * delta_vals[i] * a; + if constexpr (!kIsVariableB || !kIsVariableC) { + if constexpr (!kIsVariableB) { // dBC_val is dB_val + dBC_val += dout_vals[i] * (!kIsVariableC ? thread_data[i].y : thread_data[i].y * C_vals[i]); + } else { // dBC_val is dC_val + dBC_val += dout_vals[i] * thread_data[i].y; + } + } + if constexpr (kIsVariableB) { dB_vals[i] = dx * delta_vals[i] * float(u_vals[i]); } + if constexpr (kIsVariableC) { + dC_vals[i] = dout_vals[i] * (!kIsVariableB ? thread_data[i].y * B_val : thread_data[i].y); + } + } + // Block-exchange to make the atomicAdd's coalesced, otherwise they're much slower + if constexpr (kIsVariableB || kIsVariableC) { + if constexpr (kIsVariableB) { + typename Ktraits::BlockExchangeT(smem_exchange).BlockedToStriped(dB_vals, dB_vals); + } + if constexpr (kIsVariableC) { + auto &smem_exchange_C = !kIsVariableB ? smem_exchange : smem_exchange1; + typename Ktraits::BlockExchangeT(smem_exchange_C).BlockedToStriped(dC_vals, dC_vals); + } + const int seqlen_remaining = params.seqlen - chunk * kChunkSize - threadIdx.x; + weight_t *dB_cur = dB + state_idx * params.dB_dstate_stride + chunk * kChunkSize + threadIdx.x; + weight_t *dC_cur = dC + state_idx * params.dC_dstate_stride + chunk * kChunkSize + threadIdx.x; + #pragma unroll + for (int i = 0; i < kNItems; ++i) { + if (i * kNThreads < seqlen_remaining) { + if constexpr (kIsVariableB) { gpuAtomicAdd(dB_cur + i * kNThreads, dB_vals[i]); } + if constexpr (kIsVariableC) { gpuAtomicAdd(dC_cur + i * kNThreads, dC_vals[i]); } + } + } + } + if constexpr (!kIsVariableB || !kIsVariableC) { + float2 dA_dBC_val = make_float2(dA_val, dBC_val); + dA_dBC_val = typename Ktraits::BlockReduceT(smem_reduce).Sum(dA_dBC_val); + dA_val = dA_dBC_val.x; + if (threadIdx.x == 0) { + smem_dbc[state_idx] = chunk == params.n_chunks - 1 ? dA_dBC_val.y : dA_dBC_val.y + smem_dbc[state_idx]; + } + } else { + dA_val = typename Ktraits::BlockReduceFloatT(smem_reduce_float).Sum(dA_val); + } + if (threadIdx.x == 0) { + smem_da[state_idx] = chunk == params.n_chunks - 1 ? dA_val : dA_val + smem_da[state_idx]; + } + } else { + #pragma unroll + for (int i = 0; i < kNItems; ++i) { + // Pytorch's implementation of complex exp (which calls thrust) is very slow + complex_t delta_a_exp = cexp2f(delta_vals[i] * A_scaled); + weight_t B_delta_u_val = !kIsVariableB ? delta_vals[i] * float(u_vals[i]) : B_vals[i] * delta_vals[i] * float(u_vals[i]); + thread_data[i] = make_float4(delta_a_exp.real_, delta_a_exp.imag_, B_delta_u_val.real_, B_delta_u_val.imag_); + if (i == 0) { + smem_delta_a[threadIdx.x == 0 ? state_idx + (chunk % 2) * MAX_DSTATE : threadIdx.x + 2 * MAX_DSTATE] = delta_a_exp; + } else { + thread_reverse_data[i - 1].x = delta_a_exp.real_; + thread_reverse_data[i - 1].y = -delta_a_exp.imag_; + } + complex_t dout_BC = 2 * dout_vals[i] + * conj(!kIsVariableC + ? (!kIsVariableB ? B_val * C_val : C_val) + : (!kIsVariableB ? B_val * C_vals[i] : C_vals[i])); + thread_reverse_data[i].z = dout_BC.real_; + thread_reverse_data[i].w = dout_BC.imag_; + } + __syncthreads(); + complex_t delta_a_exp = threadIdx.x == kNThreads - 1 + ? (chunk == params.n_chunks - 1 ? 1.f : smem_delta_a[state_idx + ((chunk + 1) % 2) * MAX_DSTATE]) + : smem_delta_a[threadIdx.x + 1 + 2 * MAX_DSTATE]; + thread_reverse_data[kNItems - 1].x = delta_a_exp.real_; + thread_reverse_data[kNItems - 1].y = -delta_a_exp.imag_; + // Initialize running total + scan_t running_prefix = chunk > 0 && threadIdx.x % 32 == 0 ? x[(chunk - 1) * params.dstate + state_idx] : make_float4(1.f, 0.f, 0.f, 0.f); + SSMScanPrefixCallbackOp prefix_op(running_prefix); + typename Ktraits::BlockScanT(smem_scan).InclusiveScan( + thread_data, thread_data, SSMScanOp(), prefix_op + ); + scan_t running_postfix = chunk < params.n_chunks - 1 && threadIdx.x % 32 == 0 ? smem_running_postfix[state_idx] : make_float4(1.f, 0.f, 0.f, 0.f); + SSMScanPrefixCallbackOp postfix_op(running_postfix); + typename Ktraits::BlockReverseScanT(smem_reverse_scan).InclusiveReverseScan( + thread_reverse_data, thread_reverse_data, SSMScanOp(), postfix_op + ); + if (threadIdx.x == 0) { smem_running_postfix[state_idx] = postfix_op.running_prefix; } + weight_t dA_val = 0, dBC_val = 0; + weight_t dB_vals[kNItems], dC_vals[kNItems]; + #pragma unroll + for (int i = 0; i < kNItems; ++i) { + complex_t x = complex_t(thread_data[i].z, thread_data[i].w); + complex_t dx = complex_t(thread_reverse_data[i].z, thread_reverse_data[i].w); + float ddelta_u = !kIsVariableB ? dx.real_ : (dx * conj(B_vals[i])).real_; + if constexpr (!kIsVariableB || !kIsVariableC) { + if constexpr (!kIsVariableB) { // dBC_val is dB_val + dBC_val += (2 * dout_vals[i]) * conj(!kIsVariableC ? x : x * C_vals[i]); + } else { // dBC_val is dC_val + dBC_val += (2 * dout_vals[i]) * conj(x); + } + } + const complex_t a_conj = conj(x - (!kIsVariableB ? delta_vals[i] * float(u_vals[i]) : delta_vals[i] * float(u_vals[i]) * B_vals[i])); + du_vals[i] += ddelta_u * delta_vals[i]; + ddelta_vals[i] += ddelta_u * float(u_vals[i]) + (dx * conj(A_val) * a_conj).real_; + dA_val += delta_vals[i] * dx * a_conj; + if constexpr (kIsVariableB) { dB_vals[i] = dx * delta_vals[i] * float(u_vals[i]); } + if constexpr (kIsVariableC) { + dC_vals[i] = (2 * dout_vals[i]) * conj(!kIsVariableB ? x * B_val : x); + } + } + // Block-exchange to make the atomicAdd's coalesced, otherwise they're much slower + if constexpr (kIsVariableB || kIsVariableC) { + float dB_vals_f[kNItems * 2], dC_vals_f[kNItems * 2]; + if constexpr (kIsVariableB) { + #pragma unroll + for (int i = 0; i < kNItems; ++i) { + dB_vals_f[i * 2] = dB_vals[i].real_; + dB_vals_f[i * 2 + 1] = dB_vals[i].imag_; + } + typename Ktraits::BlockExchangeT(smem_exchange).BlockedToStriped(dB_vals_f, dB_vals_f); + } + if constexpr (kIsVariableC) { + #pragma unroll + for (int i = 0; i < kNItems; ++i) { + dC_vals_f[i * 2] = dC_vals[i].real_; + dC_vals_f[i * 2 + 1] = dC_vals[i].imag_; + } + auto &smem_exchange_C = !kIsVariableB ? smem_exchange : smem_exchange1; + typename Ktraits::BlockExchangeT(smem_exchange_C).BlockedToStriped(dC_vals_f, dC_vals_f); + } + const int seqlen_remaining = (params.seqlen - chunk * kChunkSize) * 2 - threadIdx.x; + float *dB_cur = reinterpret_cast(dB) + state_idx * params.dB_dstate_stride + chunk * kChunkSize * 2 + threadIdx.x; + float *dC_cur = reinterpret_cast(dC) + state_idx * params.dC_dstate_stride + chunk * kChunkSize * 2 + threadIdx.x; + #pragma unroll + for (int i = 0; i < kNItems * 2; ++i) { + if (i * kNThreads < seqlen_remaining) { + if constexpr (kIsVariableB) { gpuAtomicAdd(dB_cur + i * kNThreads, dB_vals_f[i]); } + if constexpr (kIsVariableC) { gpuAtomicAdd(dC_cur + i * kNThreads, dC_vals_f[i]); } + } + } + } + if constexpr (!kIsVariableB || !kIsVariableC) { + float4 dA_dBC_val = make_float4(dA_val.real_, dA_val.imag_, dBC_val.real_, dBC_val.imag_); + dA_dBC_val = typename Ktraits::BlockReduceT(smem_reduce).Sum(dA_dBC_val); + dA_val = complex_t(dA_dBC_val.x, dA_dBC_val.y); + dBC_val = complex_t(dA_dBC_val.z, dA_dBC_val.w); + if (threadIdx.x == 0) { + smem_dbc[state_idx] = chunk == params.n_chunks - 1 ? dBC_val : dBC_val + smem_dbc[state_idx]; + } + } else { + dA_val = typename Ktraits::BlockReduceComplexT(smem_reduce_complex).Sum(dA_val); + } + if (threadIdx.x == 0) { + smem_da[state_idx] = chunk == params.n_chunks - 1 ? dA_val : dA_val + smem_da[state_idx]; + } + } + } + + if constexpr (kDeltaSoftplus) { + __syncthreads(); + input_t delta_vals_load[kNItems]; + load_input(delta, delta_vals_load, smem_load, params.seqlen - chunk * kChunkSize); + delta -= kChunkSize; + #pragma unroll + for (int i = 0; i < kNItems; ++i) { + float delta_val = float(delta_vals_load[i]) + delta_bias; + float delta_val_neg_exp = expf(-delta_val); + ddelta_vals[i] = delta_val <= 20.f + ? ddelta_vals[i] / (1.f + delta_val_neg_exp) + : ddelta_vals[i]; + } + } + for (int i = 0; i < kNItems; ++i) { ddelta_bias_val += ddelta_vals[i]; } + + input_t *du = reinterpret_cast(params.du_ptr) + batch_id * params.du_batch_stride + + dim_id * params.du_d_stride + chunk * kChunkSize; + input_t *ddelta = reinterpret_cast(params.ddelta_ptr) + batch_id * params.ddelta_batch_stride + + dim_id * params.ddelta_d_stride + chunk * kChunkSize; + __syncthreads(); + store_output(du, du_vals, smem_store, params.seqlen - chunk * kChunkSize); + __syncthreads(); + store_output(ddelta, ddelta_vals, smem_store, params.seqlen - chunk * kChunkSize); + + Bvar -= kChunkSize * (!kIsComplex ? 1 : 2); + Cvar -= kChunkSize * (!kIsComplex ? 1 : 2); + } + if (params.dD_ptr != nullptr) { + dD_val = typename Ktraits::BlockReduceFloatT(smem_reduce_float).Sum(dD_val); + if (threadIdx.x == 0) { gpuAtomicAdd(dD, dD_val); } + } + if (params.ddelta_bias_ptr != nullptr) { + __syncthreads(); + ddelta_bias_val = typename Ktraits::BlockReduceFloatT(smem_reduce_float).Sum(ddelta_bias_val); + if (threadIdx.x == 0) { gpuAtomicAdd(ddelta_bias, ddelta_bias_val); } + } + for (int state_idx = threadIdx.x; state_idx < params.dstate; state_idx += blockDim.x) { + gpuAtomicAdd(&(dA[state_idx * params.dA_dstate_stride]), smem_da[state_idx]); + weight_t dBC_val; + if (!kIsVariableB || !kIsVariableC) { dBC_val = smem_dbc[state_idx]; } + if constexpr (!kIsVariableB) { + gpuAtomicAdd(&(dB[state_idx * params.dB_dstate_stride]), + !kIsVariableC ? dBC_val * conj(C[state_idx * params.C_dstate_stride]) : dBC_val); + } + if constexpr (!kIsVariableC) { + gpuAtomicAdd(&(dC[state_idx * params.dC_dstate_stride]), + !kIsVariableB ? dBC_val * conj(B[state_idx * params.B_dstate_stride]) : dBC_val); + } + } +} + +template +void selective_scan_bwd_launch(SSMParamsBwd ¶ms, cudaStream_t stream) { + BOOL_SWITCH(params.seqlen % (kNThreads * kNItems) == 0, kIsEvenLen, [&] { + BOOL_SWITCH(params.is_variable_B, kIsVariableB, [&] { + BOOL_SWITCH(params.is_variable_C, kIsVariableC, [&] { + BOOL_SWITCH(params.delta_softplus, kDeltaSoftplus, [&] { + BOOL_SWITCH(params.z_ptr != nullptr , kHasZ, [&] { + using Ktraits = Selective_Scan_bwd_kernel_traits; + // using Ktraits = Selective_Scan_bwd_kernel_traits; + // TODO: check this + constexpr int kSmemSize = Ktraits::kSmemSize + MAX_DSTATE * sizeof(typename Ktraits::scan_t) + (kNThreads + 4 * MAX_DSTATE) * sizeof(typename Ktraits::weight_t); + + dim3 grid(params.batch, params.dim); + + auto kernel = &selective_scan_bwd_kernel; + + if (kSmemSize >= 48 * 1024) { + + #ifndef USE_ROCM + C10_CUDA_CHECK(cudaFuncSetAttribute( + kernel, cudaFuncAttributeMaxDynamicSharedMemorySize, kSmemSize)); + #else + C10_CUDA_CHECK(cudaFuncSetAttribute( + (void *) kernel, cudaFuncAttributeMaxDynamicSharedMemorySize, kSmemSize)); + std::cerr << "Warning (selective_scan_bwd_kernel): attempting to set maxDynamicSharedMemorySize on an AMD GPU which is currently a non-op (in ROCm versions <= 6.1). This might lead to undefined behavior. \n" << std::endl; + #endif + + } + + kernel<<>>(params); + C10_CUDA_KERNEL_LAUNCH_CHECK(); + }); + }); + }); + }); + }); +} + +template +void selective_scan_bwd_cuda(SSMParamsBwd ¶ms, cudaStream_t stream) { + + #ifndef USE_ROCM + if (params.seqlen <= 128) { + selective_scan_bwd_launch<32, 4, input_t, weight_t>(params, stream); + } else if (params.seqlen <= 256) { + selective_scan_bwd_launch<32, 8, input_t, weight_t>(params, stream); + } else if (params.seqlen <= 512) { + selective_scan_bwd_launch<32, 16, input_t, weight_t>(params, stream); + } else if (params.seqlen <= 1024) { + selective_scan_bwd_launch<64, 16, input_t, weight_t>(params, stream); + } else { + selective_scan_bwd_launch<128, 16, input_t, weight_t>(params, stream); + } + #else + if (params.seqlen <= 256) { + selective_scan_bwd_launch<64, 4, input_t, weight_t>(params, stream); + } else if (params.seqlen <= 512) { + selective_scan_bwd_launch<64, 8, input_t, weight_t>(params, stream); + } else if (params.seqlen <= 1024) { + selective_scan_bwd_launch<64, 16, input_t, weight_t>(params, stream); + } else { + selective_scan_bwd_launch<128, 16, input_t, weight_t>(params, stream); + } + #endif +} \ No newline at end of file diff --git a/selective-scan/selective_scan_common.h b/selective-scan/selective_scan_common.h new file mode 100644 index 0000000000000000000000000000000000000000..91328e913ae816c1dd718fce6adcdfcf5cff8437 --- /dev/null +++ b/selective-scan/selective_scan_common.h @@ -0,0 +1,255 @@ +/****************************************************************************** + * Copyright (c) 2023, Tri Dao. + ******************************************************************************/ + +#pragma once + +#ifndef USE_ROCM + #include +#else + #include +#endif +#include +#include // For scalar_value_type + + +#ifndef USE_ROCM + + constexpr size_t custom_max(std::initializer_list ilist) + { + return std::max(ilist); + } + + template + constexpr T constexpr_min(T a, T b) { + return std::min(a, b); + } + +#else + constexpr size_t custom_max(std::initializer_list ilist) + { + return *std::max_element(ilist.begin(), ilist.end()); + } + + template + constexpr T constexpr_min(T a, T b) { + return a < b ? a : b; + } +#endif + + +#define MAX_DSTATE 256 + +using complex_t = c10::complex; + +inline __device__ float2 operator+(const float2 & a, const float2 & b){ + return {a.x + b.x, a.y + b.y}; +} + +inline __device__ float3 operator+(const float3 &a, const float3 &b) { + return {a.x + b.x, a.y + b.y, a.z + b.z}; +} + +inline __device__ float4 operator+(const float4 & a, const float4 & b){ + return {a.x + b.x, a.y + b.y, a.z + b.z, a.w + b.w}; +} + +//////////////////////////////////////////////////////////////////////////////////////////////////// + +template struct BytesToType {}; + +template<> struct BytesToType<16> { + using Type = uint4; + static_assert(sizeof(Type) == 16); +}; + +template<> struct BytesToType<8> { + using Type = uint64_t; + static_assert(sizeof(Type) == 8); +}; + +template<> struct BytesToType<4> { + using Type = uint32_t; + static_assert(sizeof(Type) == 4); +}; + +template<> struct BytesToType<2> { + using Type = uint16_t; + static_assert(sizeof(Type) == 2); +}; + +template<> struct BytesToType<1> { + using Type = uint8_t; + static_assert(sizeof(Type) == 1); +}; + +//////////////////////////////////////////////////////////////////////////////////////////////////// + +template +struct Converter{ + static inline __device__ void to_float(const scalar_t (&src)[N], float (&dst)[N]) { + #pragma unroll + for (int i = 0; i < N; ++i) { dst[i] = src[i]; } + } +}; + +template +struct Converter{ + static inline __device__ void to_float(const at::Half (&src)[N], float (&dst)[N]) { + static_assert(N % 2 == 0); + auto &src2 = reinterpret_cast(src); + auto &dst2 = reinterpret_cast(dst); + #pragma unroll + for (int i = 0; i < N / 2; ++i) { dst2[i] = __half22float2(src2[i]); } + } +}; + +#if __CUDA_ARCH__ >= 800 +template +struct Converter{ + static inline __device__ void to_float(const at::BFloat16 (&src)[N], float (&dst)[N]) { + static_assert(N % 2 == 0); + auto &src2 = reinterpret_cast(src); + auto &dst2 = reinterpret_cast(dst); + #pragma unroll + for (int i = 0; i < N / 2; ++i) { dst2[i] = __bfloat1622float2(src2[i]); } + } +}; +#endif + +//////////////////////////////////////////////////////////////////////////////////////////////////// + +// From https://stackoverflow.com/questions/9860711/cucomplex-h-and-exp +// and https://forums.developer.nvidia.com/t/complex-number-exponential-function/24696 +__device__ __forceinline__ complex_t cexp2f(complex_t z) { + float t = exp2f(z.real_); + float c, s; + sincosf(z.imag_, &s, &c); + return complex_t(c * t, s * t); +} + +__device__ __forceinline__ complex_t cexpf(complex_t z) { + float t = expf(z.real_); + float c, s; + sincosf(z.imag_, &s, &c); + return complex_t(c * t, s * t); +} + +template struct SSMScanOp; + +template<> +struct SSMScanOp { + __device__ __forceinline__ float2 operator()(const float2 &ab0, const float2 &ab1) const { + return make_float2(ab1.x * ab0.x, ab1.x * ab0.y + ab1.y); + } +}; + +template<> +struct SSMScanOp { + __device__ __forceinline__ float4 operator()(const float4 &ab0, const float4 &ab1) const { + complex_t a0 = complex_t(ab0.x, ab0.y); + complex_t b0 = complex_t(ab0.z, ab0.w); + complex_t a1 = complex_t(ab1.x, ab1.y); + complex_t b1 = complex_t(ab1.z, ab1.w); + complex_t out_a = a1 * a0; + complex_t out_b = a1 * b0 + b1; + return make_float4(out_a.real_, out_a.imag_, out_b.real_, out_b.imag_); + } +}; + +// A stateful callback functor that maintains a running prefix to be applied +// during consecutive scan operations. +template struct SSMScanPrefixCallbackOp { + using scan_t = std::conditional_t, float2, float4>; + scan_t running_prefix; + // Constructor + __device__ SSMScanPrefixCallbackOp(scan_t running_prefix_) : running_prefix(running_prefix_) {} + // Callback operator to be entered by the first warp of threads in the block. + // Thread-0 is responsible for returning a value for seeding the block-wide scan. + __device__ scan_t operator()(scan_t block_aggregate) { + scan_t old_prefix = running_prefix; + running_prefix = SSMScanOp()(running_prefix, block_aggregate); + return old_prefix; + } +}; + +//////////////////////////////////////////////////////////////////////////////////////////////////// + +template +inline __device__ void load_input(typename Ktraits::input_t *u, + typename Ktraits::input_t (&u_vals)[Ktraits::kNItems], + typename Ktraits::BlockLoadT::TempStorage &smem_load, + int seqlen) { + if constexpr (Ktraits::kIsEvenLen) { + auto& smem_load_vec = reinterpret_cast(smem_load); + using vec_t = typename Ktraits::vec_t; + typename Ktraits::BlockLoadVecT(smem_load_vec).Load( + reinterpret_cast(u), + reinterpret_cast(u_vals) + #ifdef USE_ROCM + , Ktraits::kNThreads * Ktraits::kNLoads + #endif + + ); + } else { + typename Ktraits::BlockLoadT(smem_load).Load(u, u_vals, seqlen, 0.f); + } +} + +template +inline __device__ void load_weight(typename Ktraits::input_t *Bvar, + typename Ktraits::weight_t (&B_vals)[Ktraits::kNItems], + typename Ktraits::BlockLoadWeightT::TempStorage &smem_load_weight, + int seqlen) { + constexpr int kNItems = Ktraits::kNItems; + if constexpr (!Ktraits::kIsComplex) { + typename Ktraits::input_t B_vals_load[kNItems]; + if constexpr (Ktraits::kIsEvenLen) { + auto& smem_load_weight_vec = reinterpret_cast(smem_load_weight); + using vec_t = typename Ktraits::vec_t; + typename Ktraits::BlockLoadWeightVecT(smem_load_weight_vec).Load( + reinterpret_cast(Bvar), + reinterpret_cast(B_vals_load) + ); + } else { + typename Ktraits::BlockLoadWeightT(smem_load_weight).Load(Bvar, B_vals_load, seqlen, 0.f); + } + // #pragma unroll + // for (int i = 0; i < kNItems; ++i) { B_vals[i] = B_vals_load[i]; } + Converter::to_float(B_vals_load, B_vals); + } else { + typename Ktraits::input_t B_vals_load[kNItems * 2]; + if constexpr (Ktraits::kIsEvenLen) { + auto& smem_load_weight_vec = reinterpret_cast(smem_load_weight); + using vec_t = typename Ktraits::vec_t; + typename Ktraits::BlockLoadWeightVecT(smem_load_weight_vec).Load( + reinterpret_cast(Bvar), + reinterpret_cast(B_vals_load) + ); + } else { + typename Ktraits::BlockLoadWeightT(smem_load_weight).Load(Bvar, B_vals_load, seqlen, 0.f); + } + #pragma unroll + for (int i = 0; i < kNItems; ++i) { B_vals[i] = complex_t(B_vals_load[i * 2], B_vals_load[i * 2 + 1]); } + } +} + +template +inline __device__ void store_output(typename Ktraits::input_t *out, + const float (&out_vals)[Ktraits::kNItems], + typename Ktraits::BlockStoreT::TempStorage &smem_store, + int seqlen) { + typename Ktraits::input_t write_vals[Ktraits::kNItems]; + #pragma unroll + for (int i = 0; i < Ktraits::kNItems; ++i) { write_vals[i] = out_vals[i]; } + if constexpr (Ktraits::kIsEvenLen) { + auto& smem_store_vec = reinterpret_cast(smem_store); + using vec_t = typename Ktraits::vec_t; + typename Ktraits::BlockStoreVecT(smem_store_vec).Store( + reinterpret_cast(out), + reinterpret_cast(write_vals) + ); + } else { + typename Ktraits::BlockStoreT(smem_store).Store(out, write_vals, seqlen); + } +} diff --git a/selective-scan/selective_scan_fwd_bf16.cu b/selective-scan/selective_scan_fwd_bf16.cu new file mode 100644 index 0000000000000000000000000000000000000000..2b8615b1d522c119125d4cb6ff3dce42f2bd4659 --- /dev/null +++ b/selective-scan/selective_scan_fwd_bf16.cu @@ -0,0 +1,10 @@ +/****************************************************************************** + * Copyright (c) 2023, Tri Dao. + ******************************************************************************/ + +// Split into multiple files to compile in paralell + +#include "selective_scan_fwd_kernel.cuh" + +template void selective_scan_fwd_cuda(SSMParamsBase ¶ms, cudaStream_t stream); +template void selective_scan_fwd_cuda(SSMParamsBase ¶ms, cudaStream_t stream); \ No newline at end of file diff --git a/selective-scan/selective_scan_fwd_fp16.cu b/selective-scan/selective_scan_fwd_fp16.cu new file mode 100644 index 0000000000000000000000000000000000000000..015e2a0eff633daf2693e43a2648008652a38c7c --- /dev/null +++ b/selective-scan/selective_scan_fwd_fp16.cu @@ -0,0 +1,10 @@ +/****************************************************************************** + * Copyright (c) 2023, Tri Dao. + ******************************************************************************/ + +// Split into multiple files to compile in paralell + +#include "selective_scan_fwd_kernel.cuh" + +template void selective_scan_fwd_cuda(SSMParamsBase ¶ms, cudaStream_t stream); +template void selective_scan_fwd_cuda(SSMParamsBase ¶ms, cudaStream_t stream); \ No newline at end of file diff --git a/selective-scan/selective_scan_fwd_fp32.cu b/selective-scan/selective_scan_fwd_fp32.cu new file mode 100644 index 0000000000000000000000000000000000000000..c142fe0208ea784679122ba04997d3432b05efcc --- /dev/null +++ b/selective-scan/selective_scan_fwd_fp32.cu @@ -0,0 +1,10 @@ +/****************************************************************************** + * Copyright (c) 2023, Tri Dao. + ******************************************************************************/ + +// Split into multiple files to compile in paralell + +#include "selective_scan_fwd_kernel.cuh" + +template void selective_scan_fwd_cuda(SSMParamsBase ¶ms, cudaStream_t stream); +template void selective_scan_fwd_cuda(SSMParamsBase ¶ms, cudaStream_t stream); \ No newline at end of file diff --git a/selective-scan/selective_scan_fwd_kernel.cuh b/selective-scan/selective_scan_fwd_kernel.cuh new file mode 100755 index 0000000000000000000000000000000000000000..80e9e37e3f8d8b28f2dfc6a51c75fa10e54add86 --- /dev/null +++ b/selective-scan/selective_scan_fwd_kernel.cuh @@ -0,0 +1,376 @@ +/****************************************************************************** + * Copyright (c) 2023, Tri Dao. + ******************************************************************************/ + +#pragma once + +#include +#include +#include // For C10_CUDA_CHECK and C10_CUDA_KERNEL_LAUNCH_CHECK + +#ifndef USE_ROCM + #include + #include + #include +#else + #include + namespace cub = hipcub; +#endif + +#include "selective_scan.h" +#include "selective_scan_common.h" +#include "static_switch.h" + +template +struct Selective_Scan_fwd_kernel_traits { + static_assert(kNItems_ % 4 == 0); + using input_t = input_t_; + using weight_t = weight_t_; + static constexpr int kNThreads = kNThreads_; + // Setting MinBlocksPerMP to be 3 (instead of 2) for 128 threads improves occupancy. + static constexpr int kMinBlocks = kNThreads < 128 ? 5 : 3; + static constexpr int kNItems = kNItems_; + static constexpr int kNRows = kNRows_; + static constexpr int kNBytes = sizeof(input_t); + static_assert(kNBytes == 2 || kNBytes == 4); + static constexpr int kNElts = kNBytes == 4 ? 4 : constexpr_min(8, kNItems); + static_assert(kNItems % kNElts == 0); + static constexpr int kNLoads = kNItems / kNElts; + static constexpr bool kIsComplex = std::is_same_v; + static constexpr bool kIsEvenLen = kIsEvenLen_; + static constexpr bool kIsVariableB = kIsVariableB_; + static constexpr bool kIsVariableC = kIsVariableC_; + static constexpr bool kHasZ = kHasZ_; + + static constexpr bool kDirectIO = kIsEvenLen && kNLoads == 1; + + using vec_t = typename BytesToType::Type; + using scan_t = std::conditional_t; + using BlockLoadT = cub::BlockLoad; + using BlockLoadVecT = cub::BlockLoad; + using BlockLoadWeightT = cub::BlockLoad; + using BlockLoadWeightVecT = cub::BlockLoad; + using BlockStoreT = cub::BlockStore; + using BlockStoreVecT = cub::BlockStore; + // using BlockScanT = cub::BlockScan; + // using BlockScanT = cub::BlockScan; + using BlockScanT = cub::BlockScan; + static constexpr int kSmemIOSize = custom_max({sizeof(typename BlockLoadT::TempStorage), + sizeof(typename BlockLoadVecT::TempStorage), + (int(kIsVariableB) + int(kIsVariableC)) * sizeof(typename BlockLoadWeightT::TempStorage), + (int(kIsVariableB) + int(kIsVariableC)) * sizeof(typename BlockLoadWeightVecT::TempStorage), + sizeof(typename BlockStoreT::TempStorage), + sizeof(typename BlockStoreVecT::TempStorage)}); + static constexpr int kSmemSize = kSmemIOSize + sizeof(typename BlockScanT::TempStorage); +}; + +template +__global__ __launch_bounds__(Ktraits::kNThreads, Ktraits::kMinBlocks) +void selective_scan_fwd_kernel(SSMParamsBase params) { + constexpr bool kIsComplex = Ktraits::kIsComplex; + constexpr bool kIsVariableB = Ktraits::kIsVariableB; + constexpr bool kIsVariableC = Ktraits::kIsVariableC; + constexpr bool kHasZ = Ktraits::kHasZ; + constexpr int kNThreads = Ktraits::kNThreads; + constexpr int kNItems = Ktraits::kNItems; + constexpr int kNRows = Ktraits::kNRows; + constexpr bool kDirectIO = Ktraits::kDirectIO; + using input_t = typename Ktraits::input_t; + using weight_t = typename Ktraits::weight_t; + using scan_t = typename Ktraits::scan_t; + + // Shared memory. + extern __shared__ char smem_[]; + // cast to lvalue reference of expected type + // char *smem_loadstorescan = smem_ + 2 * MAX_DSTATE * sizeof(weight_t); + // auto& smem_load = reinterpret_cast(smem_ + 2 * MAX_DSTATE * sizeof(weight_t)); + // auto& smem_load = reinterpret_cast(smem_loadstorescan); + auto& smem_load = reinterpret_cast(smem_); + auto& smem_load_weight = reinterpret_cast(smem_); + auto& smem_load_weight1 = *reinterpret_cast(smem_ + sizeof(typename Ktraits::BlockLoadWeightT::TempStorage)); + auto& smem_store = reinterpret_cast(smem_); + auto& smem_scan = *reinterpret_cast(smem_ + Ktraits::kSmemIOSize); + // weight_t *smem_a = reinterpret_cast(smem_ + smem_loadstorescan_size); + // weight_t *smem_bc = reinterpret_cast(smem_a + MAX_DSTATE); + scan_t *smem_running_prefix = reinterpret_cast(smem_ + Ktraits::kSmemSize); + + const int batch_id = blockIdx.x; + const int dim_id = blockIdx.y; + const int group_id = dim_id / (params.dim_ngroups_ratio); + input_t *u = reinterpret_cast(params.u_ptr) + batch_id * params.u_batch_stride + + dim_id * kNRows * params.u_d_stride; + input_t *delta = reinterpret_cast(params.delta_ptr) + batch_id * params.delta_batch_stride + + dim_id * kNRows * params.delta_d_stride; + weight_t *A = reinterpret_cast(params.A_ptr) + dim_id * kNRows * params.A_d_stride; + weight_t *B = reinterpret_cast(params.B_ptr) + dim_id * kNRows * params.B_d_stride; + input_t *Bvar = reinterpret_cast(params.B_ptr) + batch_id * params.B_batch_stride + group_id * params.B_group_stride; + weight_t *C = reinterpret_cast(params.C_ptr) + dim_id * kNRows * params.C_d_stride; + input_t *Cvar = reinterpret_cast(params.C_ptr) + batch_id * params.C_batch_stride + group_id * params.C_group_stride; + scan_t *x = reinterpret_cast(params.x_ptr) + (batch_id * params.dim + dim_id * kNRows) * params.n_chunks * params.dstate; + + float D_val[kNRows] = {0}; + if (params.D_ptr != nullptr) { + #pragma unroll + for (int r = 0; r < kNRows; ++r) { + D_val[r] = reinterpret_cast(params.D_ptr)[dim_id * kNRows + r]; + } + } + float delta_bias[kNRows] = {0}; + if (params.delta_bias_ptr != nullptr) { + #pragma unroll + for (int r = 0; r < kNRows; ++r) { + delta_bias[r] = reinterpret_cast(params.delta_bias_ptr)[dim_id * kNRows + r]; + } + } + + // for (int state_idx = threadIdx.x; state_idx < params.dstate; state_idx += blockDim.x) { + // smem_a[state_idx] = A[state_idx * params.A_dstate_stride]; + // smem_bc[state_idx] = B[state_idx * params.B_dstate_stride] * C[state_idx * params.C_dstate_stride]; + // } + + constexpr int kChunkSize = kNThreads * kNItems; + for (int chunk = 0; chunk < params.n_chunks; ++chunk) { + input_t u_vals[kNRows][kNItems], delta_vals_load[kNRows][kNItems]; + __syncthreads(); + #pragma unroll + for (int r = 0; r < kNRows; ++r) { + if constexpr (!kDirectIO) { + if (r > 0) { __syncthreads(); } + } + load_input(u + r * params.u_d_stride, u_vals[r], smem_load, params.seqlen - chunk * kChunkSize); + if constexpr (!kDirectIO) { __syncthreads(); } + load_input(delta + r * params.delta_d_stride, delta_vals_load[r], smem_load, params.seqlen - chunk * kChunkSize); + } + u += kChunkSize; + delta += kChunkSize; + + float delta_vals[kNRows][kNItems], delta_u_vals[kNRows][kNItems], out_vals[kNRows][kNItems]; + #pragma unroll + for (int r = 0; r < kNRows; ++r) { + #pragma unroll + for (int i = 0; i < kNItems; ++i) { + float u_val = float(u_vals[r][i]); + delta_vals[r][i] = float(delta_vals_load[r][i]) + delta_bias[r]; + if (params.delta_softplus) { + delta_vals[r][i] = delta_vals[r][i] <= 20.f ? log1pf(expf(delta_vals[r][i])) : delta_vals[r][i]; + } + delta_u_vals[r][i] = delta_vals[r][i] * u_val; + out_vals[r][i] = D_val[r] * u_val; + } + } + + __syncthreads(); + for (int state_idx = 0; state_idx < params.dstate; ++state_idx) { + weight_t A_val[kNRows]; + #pragma unroll + for (int r = 0; r < kNRows; ++r) { + A_val[r] = A[state_idx * params.A_dstate_stride + r * params.A_d_stride]; + // Multiply the real part of A with LOG2E so we can use exp2f instead of expf. + constexpr float kLog2e = M_LOG2E; + if constexpr (!kIsComplex) { + A_val[r] *= kLog2e; + } else { + A_val[r].real_ *= kLog2e; + } + } + // This variable holds B * C if both B and C are constant across seqlen. If only B varies + // across seqlen, this holds C. If only C varies across seqlen, this holds B. + // If both B and C vary, this is unused. + weight_t BC_val[kNRows]; + weight_t B_vals[kNItems], C_vals[kNItems]; + if constexpr (kIsVariableB) { + load_weight(Bvar + state_idx * params.B_dstate_stride, B_vals, + smem_load_weight, (params.seqlen - chunk * kChunkSize) * (!kIsComplex ? 1 : 2)); + if constexpr (!kIsVariableC) { + #pragma unroll + for (int r = 0; r < kNRows; ++r) { + BC_val[r] = C[state_idx * params.C_dstate_stride + r * params.C_d_stride]; + } + } + } + if constexpr (kIsVariableC) { + auto &smem_load_weight_C = !kIsVariableB ? smem_load_weight : smem_load_weight1; + load_weight(Cvar + state_idx * params.C_dstate_stride, C_vals, + smem_load_weight_C, (params.seqlen - chunk * kChunkSize) * (!kIsComplex ? 1 : 2)); + if constexpr (!kIsVariableB) { + #pragma unroll + for (int r = 0; r < kNRows; ++r) { + BC_val[r] = B[state_idx * params.B_dstate_stride + r * params.B_d_stride]; + } + } + } + if constexpr (!kIsVariableB && !kIsVariableC) { + #pragma unroll + for (int r = 0; r < kNRows; ++r) { + BC_val[r] = B[state_idx * params.B_dstate_stride + r * params.B_d_stride] * C[state_idx * params.C_dstate_stride + r * params.C_d_stride]; + } + } + + #pragma unroll + for (int r = 0; r < kNRows; ++r) { + if (r > 0) { __syncthreads(); } // Scan could be using the same smem + scan_t thread_data[kNItems]; + #pragma unroll + for (int i = 0; i < kNItems; ++i) { + if constexpr (!kIsComplex) { + thread_data[i] = make_float2(exp2f(delta_vals[r][i] * A_val[r]), + !kIsVariableB ? delta_u_vals[r][i] : B_vals[i] * delta_u_vals[r][i]); + if constexpr (!Ktraits::kIsEvenLen) { // So that the last state is correct + if (threadIdx.x * kNItems + i >= params.seqlen - chunk * kChunkSize) { + thread_data[i] = make_float2(1.f, 0.f); + } + } + } else { + // Pytorch's implementation of complex exp (which calls thrust) is very slow + complex_t delta_a_exp = cexp2f(delta_vals[r][i] * A_val[r]); + weight_t B_delta_u_val = !kIsVariableB ? delta_u_vals[r][i] : B_vals[i] * delta_u_vals[r][i]; + thread_data[i] = make_float4(delta_a_exp.real_, delta_a_exp.imag_, B_delta_u_val.real_, B_delta_u_val.imag_); + if constexpr (!Ktraits::kIsEvenLen) { // So that the last state is correct + if (threadIdx.x * kNItems + i >= params.seqlen - chunk * kChunkSize) { + thread_data[i] = make_float4(1.f, 0.f, 0.f, 0.f); + } + } + } + } + // Initialize running total + scan_t running_prefix; + if constexpr (!kIsComplex) { + // If we use WARP_SCAN then all lane 0 of all warps (not just thread 0) needs to read + running_prefix = chunk > 0 && threadIdx.x % 32 == 0 ? smem_running_prefix[state_idx + r * MAX_DSTATE] : make_float2(1.f, 0.f); + // running_prefix = chunk > 0 && threadIdx.x == 0 ? smem_running_prefix[state_idx] : make_float2(1.f, 0.f); + } else { + running_prefix = chunk > 0 && threadIdx.x % 32 == 0 ? smem_running_prefix[state_idx + r * MAX_DSTATE] : make_float4(1.f, 0.f, 0.f, 0.f); + // running_prefix = chunk > 0 && threadIdx.x == 0 ? smem_running_prefix[state_idx] : make_float4(1.f, 0.f, 0.f, 0.f); + } + SSMScanPrefixCallbackOp prefix_op(running_prefix); + typename Ktraits::BlockScanT(smem_scan).InclusiveScan( + thread_data, thread_data, SSMScanOp(), prefix_op + ); + // There's a syncthreads in the scan op, so we don't need to sync here. + // Unless there's only 1 warp, but then it's the same thread (0) reading and writing. + if (threadIdx.x == 0) { + smem_running_prefix[state_idx] = prefix_op.running_prefix; + x[(r * params.n_chunks + chunk) * params.dstate + state_idx] = prefix_op.running_prefix; + } + #pragma unroll + for (int i = 0; i < kNItems; ++i) { + const weight_t C_val = !kIsVariableC + ? BC_val[r] + : (!kIsVariableB ? BC_val[r] * C_vals[i] : C_vals[i]); + if constexpr (!kIsComplex) { + out_vals[r][i] += thread_data[i].y * C_val; + } else { + out_vals[r][i] += (complex_t(thread_data[i].z, thread_data[i].w) * C_val).real_ * 2; + } + } + } + } + + input_t *out = reinterpret_cast(params.out_ptr) + batch_id * params.out_batch_stride + + dim_id * kNRows * params.out_d_stride + chunk * kChunkSize; + __syncthreads(); + #pragma unroll + for (int r = 0; r < kNRows; ++r) { + if constexpr (!kDirectIO) { + if (r > 0) { __syncthreads(); } + } + store_output(out + r * params.out_d_stride, out_vals[r], smem_store, params.seqlen - chunk * kChunkSize); + } + + if constexpr (kHasZ) { + input_t *z = reinterpret_cast(params.z_ptr) + batch_id * params.z_batch_stride + + dim_id * kNRows * params.z_d_stride + chunk * kChunkSize; + input_t *out_z = reinterpret_cast(params.out_z_ptr) + batch_id * params.out_z_batch_stride + + dim_id * kNRows * params.out_z_d_stride + chunk * kChunkSize; + #pragma unroll + for (int r = 0; r < kNRows; ++r) { + input_t z_vals[kNItems]; + __syncthreads(); + load_input(z + r * params.z_d_stride, z_vals, smem_load, params.seqlen - chunk * kChunkSize); + #pragma unroll + for (int i = 0; i < kNItems; ++i) { + float z_val = z_vals[i]; + out_vals[r][i] *= z_val / (1 + expf(-z_val)); + } + __syncthreads(); + store_output(out_z + r * params.out_z_d_stride, out_vals[r], smem_store, params.seqlen - chunk * kChunkSize); + } + } + + Bvar += kChunkSize * (!kIsComplex ? 1 : 2); + Cvar += kChunkSize * (!kIsComplex ? 1 : 2); + } +} + +template +void selective_scan_fwd_launch(SSMParamsBase ¶ms, cudaStream_t stream) { + // Only kNRows == 1 is tested for now, which ofc doesn't differ from previously when we had each block + // processing 1 row. + constexpr int kNRows = 1; + BOOL_SWITCH(params.seqlen % (kNThreads * kNItems) == 0, kIsEvenLen, [&] { + BOOL_SWITCH(params.is_variable_B, kIsVariableB, [&] { + BOOL_SWITCH(params.is_variable_C, kIsVariableC, [&] { + BOOL_SWITCH(params.z_ptr != nullptr , kHasZ, [&] { + using Ktraits = Selective_Scan_fwd_kernel_traits; + + constexpr int kSmemSize = Ktraits::kSmemSize + kNRows * MAX_DSTATE * sizeof(typename Ktraits::scan_t); + dim3 grid(params.batch, params.dim / kNRows); + + // Had to change this substantially since potentially the hip + // interface for setting kernel launch attributes is slightly different from + // cuda's. In particualar, it seems to expect a plain const void * pointer. + + auto kernel = &selective_scan_fwd_kernel; + + + if (kSmemSize >= 48 * 1024) { + #ifndef USE_ROCM + C10_CUDA_CHECK(cudaFuncSetAttribute( + kernel, cudaFuncAttributeMaxDynamicSharedMemorySize, kSmemSize)); + #else + C10_CUDA_CHECK(cudaFuncSetAttribute( + (void *) kernel, cudaFuncAttributeMaxDynamicSharedMemorySize, kSmemSize)); + std::cerr << "Warning (selective_scan_fwd_kernel): attempting to set maxDynamicSharedMemorySize on an AMD GPU which is currently a non-op (in ROCm versions <= 6.1). This might lead to undefined behavior. \n" << std::endl; + #endif + } + + kernel<<>>(params); + C10_CUDA_KERNEL_LAUNCH_CHECK(); + }); + }); + }); + }); +} + +template +void selective_scan_fwd_cuda(SSMParamsBase ¶ms, cudaStream_t stream) { + + #ifndef USE_ROCM + if (params.seqlen <= 128) { + selective_scan_fwd_launch<32, 4, input_t, weight_t>(params, stream); + } else if (params.seqlen <= 256) { + selective_scan_fwd_launch<32, 8, input_t, weight_t>(params, stream); + } else if (params.seqlen <= 512) { + selective_scan_fwd_launch<32, 16, input_t, weight_t>(params, stream); + } else if (params.seqlen <= 1024) { + selective_scan_fwd_launch<64, 16, input_t, weight_t>(params, stream); + } else { + selective_scan_fwd_launch<128, 16, input_t, weight_t>(params, stream); + } + #else + if (params.seqlen <= 256) { + selective_scan_fwd_launch<64, 4, input_t, weight_t>(params, stream); + } else if (params.seqlen <= 512) { + selective_scan_fwd_launch<64, 8, input_t, weight_t>(params, stream); + } else if (params.seqlen <= 1024) { + selective_scan_fwd_launch<64, 16, input_t, weight_t>(params, stream); + } else { + selective_scan_fwd_launch<128, 16, input_t, weight_t>(params, stream); + } + #endif +} diff --git a/selective-scan/static_switch.h b/selective-scan/static_switch.h new file mode 100644 index 0000000000000000000000000000000000000000..7920ac045d0a2a1f4c4159ee3eebe51fe1e2c203 --- /dev/null +++ b/selective-scan/static_switch.h @@ -0,0 +1,25 @@ +// Inspired by https://github.com/NVIDIA/DALI/blob/main/include/dali/core/static_switch.h +// and https://github.com/pytorch/pytorch/blob/master/aten/src/ATen/Dispatch.h + +#pragma once + +/// @param COND - a boolean expression to switch by +/// @param CONST_NAME - a name given for the constexpr bool variable. +/// @param ... - code to execute for true and false +/// +/// Usage: +/// ``` +/// BOOL_SWITCH(flag, BoolConst, [&] { +/// some_function(...); +/// }); +/// ``` +#define BOOL_SWITCH(COND, CONST_NAME, ...) \ + [&] { \ + if (COND) { \ + constexpr bool CONST_NAME = true; \ + return __VA_ARGS__(); \ + } else { \ + constexpr bool CONST_NAME = false; \ + return __VA_ARGS__(); \ + } \ + }() diff --git a/selective-scan/uninitialized_copy.cuh b/selective-scan/uninitialized_copy.cuh new file mode 100644 index 0000000000000000000000000000000000000000..cdaf115e34a303bdda35b03a189e50cdbde8150e --- /dev/null +++ b/selective-scan/uninitialized_copy.cuh @@ -0,0 +1,77 @@ +/****************************************************************************** + * Copyright (c) 2011-2022, NVIDIA CORPORATION. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions are met: + * * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * * Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * * Neither the name of the NVIDIA CORPORATION nor the + * names of its contributors may be used to endorse or promote products + * derived from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" + * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL NVIDIA CORPORATION BE LIABLE FOR ANY + * DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES + * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; + * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND + * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS + * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + * + ******************************************************************************/ + +#pragma once + +#ifndef USE_ROCM + #include + + #include +#else + #include + // Map ::cuda::std to the standard std namespace + namespace cuda { + namespace std = ::std; + } +#endif + + +namespace detail +{ + +#if defined(_NVHPC_CUDA) +template +__host__ __device__ void uninitialized_copy(T *ptr, U &&val) +{ + // NVBug 3384810 + new (ptr) T(::cuda::std::forward(val)); +} +#else +template ::value, + int + >::type = 0> +__host__ __device__ void uninitialized_copy(T *ptr, U &&val) +{ + *ptr = ::cuda::std::forward(val); +} + +template ::value, + int + >::type = 0> +__host__ __device__ void uninitialized_copy(T *ptr, U &&val) +{ + new (ptr) T(::cuda::std::forward(val)); +} +#endif + +} // namespace detail diff --git a/tests/ops/test_selective_scan.py b/tests/ops/test_selective_scan.py new file mode 100644 index 0000000000000000000000000000000000000000..8a834b3c93267d05f81c3e5156b35622a3c2d956 --- /dev/null +++ b/tests/ops/test_selective_scan.py @@ -0,0 +1,247 @@ +# Copyright (C) 2023, Tri Dao. + +import math + +import torch +import torch.nn.functional as F +import pytest + +from einops import rearrange + +from mamba_ssm.ops.selective_scan_interface import selective_scan_fn, selective_scan_ref +from mamba_ssm.ops.selective_scan_interface import mamba_inner_fn, mamba_inner_ref + + +# @pytest.mark.parametrize('wtype', [torch.float32, torch.complex64]) +@pytest.mark.parametrize('wtype', [torch.float32]) +# @pytest.mark.parametrize('itype', [torch.float32, torch.float16, torch.bfloat16]) +@pytest.mark.parametrize('itype', [torch.float32]) +# @pytest.mark.parametrize('seqlen', [8, 16, 32, 64, 128, 256, 372, 512, 784, 1024, 1134, 2048, 4096]) +@pytest.mark.parametrize('seqlen', [128, 256, 512, 1024, 2048, 4096]) +# @pytest.mark.parametrize('seqlen', [128]) +# @pytest.mark.parametrize("return_last_state", [False, True]) +@pytest.mark.parametrize("return_last_state", [True]) +# @pytest.mark.parametrize('has_delta_bias', [False, True]) +@pytest.mark.parametrize('has_delta_bias', [True]) +# @pytest.mark.parametrize('delta_softplus', [False, True]) +@pytest.mark.parametrize('delta_softplus', [True]) +# @pytest.mark.parametrize('has_z', [False, True]) +@pytest.mark.parametrize('has_z', [True]) +# @pytest.mark.parametrize('has_D', [False, True]) +@pytest.mark.parametrize('has_D', [True]) +@pytest.mark.parametrize("varBC_groups", [1, 2]) +# @pytest.mark.parametrize("varBC_groups", [1]) +# @pytest.mark.parametrize("is_variable_C", [False, True]) +@pytest.mark.parametrize("is_variable_C", [True]) +# @pytest.mark.parametrize("is_variable_B", [False, True]) +@pytest.mark.parametrize("is_variable_B", [True]) +def test_selective_scan(is_variable_B, is_variable_C, varBC_groups, has_D, has_z, has_delta_bias, + delta_softplus, return_last_state, seqlen, itype, wtype): + if varBC_groups > 1 and (not is_variable_B or not is_variable_C): + pytest.skip() # This config is not applicable + device = 'cuda' + rtol, atol = (6e-4, 2e-3) if itype == torch.float32 else (3e-3, 5e-3) + if itype == torch.bfloat16: + rtol, atol = 3e-2, 5e-2 + rtolw, atolw = (1e-3, 1e-3) + if has_z: # If we have z, the errors on the weights seem higher + rtolw = max(rtolw, rtol) + atolw = max(atolw, atol) + # set seed + torch.random.manual_seed(0) + batch_size = 2 + dim = 4 + dstate = 8 + is_complex = wtype == torch.complex64 + A = (-0.5 * torch.rand(dim, dstate, device=device, dtype=wtype)).requires_grad_() + if not is_variable_B: + B_shape = (dim, dstate) + elif varBC_groups == 1: + B_shape = (batch_size, dstate, seqlen if not is_complex else seqlen * 2) + else: + B_shape = (batch_size, varBC_groups, dstate, seqlen if not is_complex else seqlen * 2) + B = torch.randn(*B_shape, device=device, dtype=wtype if not is_variable_B else itype, + requires_grad=True) + if not is_variable_C: + C_shape = (dim, dstate) + elif varBC_groups == 1: + C_shape = (batch_size, dstate, seqlen if not is_complex else seqlen * 2) + else: + C_shape = (batch_size, varBC_groups, dstate, seqlen if not is_complex else seqlen * 2) + C = torch.randn(*C_shape, device=device, dtype=wtype if not is_variable_C else itype, + requires_grad=True) + if has_D: + D = torch.randn(dim, device=device, dtype=torch.float32, requires_grad=True) + else: + D = None + if has_z: + z = torch.randn(batch_size, dim, seqlen, device=device, dtype=itype, requires_grad=True) + else: + z = None + if has_delta_bias: + delta_bias = (0.5 * torch.rand(dim, device=device, dtype=torch.float32)).requires_grad_() + else: + delta_bias = None + u = torch.randn(batch_size, dim, seqlen, device=device, dtype=itype, requires_grad=True) + delta = (0.5 * torch.rand(batch_size, dim, seqlen, device=device, dtype=itype)).requires_grad_() + A_ref = A.detach().clone().requires_grad_() + B_ref = B.detach().clone().requires_grad_() + C_ref = C.detach().clone().requires_grad_() + D_ref = D.detach().clone().requires_grad_() if D is not None else None + z_ref = z.detach().clone().requires_grad_() if z is not None else None + u_ref = u.detach().clone().requires_grad_() + delta_ref = delta.detach().clone().requires_grad_() + delta_bias_ref = delta_bias.detach().clone().requires_grad_() if delta_bias is not None else None + out, *rest = selective_scan_fn( + u, delta, A, B, C, D, z=z, + delta_bias=delta_bias, delta_softplus=delta_softplus, + return_last_state=return_last_state + ) + if return_last_state: + state = rest[0] + out_ref, *rest = selective_scan_ref( + u_ref, delta_ref, A_ref, B_ref, C_ref, D_ref, z=z_ref, + delta_bias=delta_bias_ref, delta_softplus=delta_softplus, + return_last_state=return_last_state + ) + if return_last_state: + state_ref = rest[0] + # dA = torch.exp(torch.einsum('bdl,dn->bdln', delta, A)) + # dt_u = delta * u + + print(f'Output max diff: {(out - out_ref).abs().max().item()}') + print(f'Output mean diff: {(out - out_ref).abs().mean().item()}') + assert torch.allclose(out, out_ref, rtol=rtol, atol=atol) + if return_last_state: + print(f'State max diff: {(state - state_ref).abs().max().item()}') + assert torch.allclose(state, state_ref, rtol=rtol, atol=atol) + + g = torch.randn_like(out) + out_ref.backward(g) + out.backward(g) + + print(f'du max diff: {(u.grad - u_ref.grad).abs().max().item()}') + print(f'ddelta max diff: {(delta.grad - delta_ref.grad).abs().max().item()}') + print(f'dA max diff: {(A.grad - A_ref.grad).abs().max().item()}') + print(f'dB max diff: {(B.grad - B_ref.grad).abs().max().item()}') + print(f'dC max diff: {(C.grad - C_ref.grad).abs().max().item()}') + if has_D: + print(f'dD max diff: {(D.grad - D_ref.grad).abs().max().item()}') + if has_z: + print(f'dz max diff: {(z.grad - z_ref.grad).abs().max().item()}') + if has_delta_bias: + print(f'ddelta_bias max diff: {(delta_bias.grad - delta_bias_ref.grad).abs().max().item()}') + + assert torch.allclose(u.grad, u_ref.grad.to(dtype=itype), rtol=rtol * 2, atol=atol * 2) + assert torch.allclose(delta.grad, delta_ref.grad.to(dtype=itype), rtol=rtol * 5, atol=atol * 10) + assert torch.allclose(A.grad, A_ref.grad, rtol=rtolw, atol=atolw * 5) + assert torch.allclose(B.grad, B_ref.grad, rtol=rtolw if not is_variable_B else rtol, + atol=atolw if not is_variable_B else atol) + assert torch.allclose(C.grad, C_ref.grad, rtol=rtolw if not is_variable_C else rtol, + atol=atolw if not is_variable_C else atol) + if has_D: + assert torch.allclose(D.grad, D_ref.grad, rtol=rtolw, atol=atolw) + if has_z: + assert torch.allclose(z.grad, z_ref.grad, rtol=rtolw, atol=atolw) + if has_delta_bias: + assert torch.allclose(delta_bias.grad, delta_bias_ref.grad, rtol=rtolw, atol=atolw) + + +@pytest.mark.parametrize('wtype', [torch.float32, torch.complex64]) +# @pytest.mark.parametrize('wtype', [torch.complex64]) +# @pytest.mark.parametrize('itype', [torch.float32, torch.float16, torch.bfloat16]) +@pytest.mark.parametrize('itype', [torch.float32]) +# @pytest.mark.parametrize('seqlen', [8, 16, 32, 64, 128, 256, 372, 512, 784, 1024, 1134, 2048, 4096]) +@pytest.mark.parametrize('seqlen', [128]) +@pytest.mark.parametrize("is_variable_C", [False, True]) +# @pytest.mark.parametrize("is_variable_C", [False]) +@pytest.mark.parametrize("is_variable_B", [False, True]) +# @pytest.mark.parametrize("is_variable_B", [True]) +def test_mamba_inner_fn(is_variable_B, is_variable_C, seqlen, itype, wtype): + device = 'cuda' + rtol, atol = (6e-4, 2e-3) if itype == torch.float32 else (3e-3, 5e-3) + if itype == torch.bfloat16: + rtol, atol = 3e-2, 5e-2 + rtolw, atolw = (1e-3, 1e-3) + # If we have z, the errors on the weights seem higher + rtolw = max(rtolw, rtol) + atolw = max(atolw, atol) + # set seed + torch.random.manual_seed(0) + batch_size = 2 + dim = 768 + dstate = 8 + dt_rank = 48 + is_complex = wtype == torch.complex64 + xz = torch.randn(batch_size, 2 * dim, seqlen, device=device, dtype=itype, requires_grad=True) + conv1d_weight = torch.randn(dim, 1, 3, device=device, dtype=torch.float32, requires_grad=True) + conv1d_bias = torch.randn(dim, device=device, dtype=torch.float32, requires_grad=True) + x_proj_weight = torch.randn(dt_rank + (bool(is_variable_B) + bool(is_variable_C)) * dstate + * (1 if not is_complex else 2), + dim, device=device, dtype=itype, requires_grad=True) + delta_proj_weight = torch.randn(dim, dt_rank, device=device, dtype=itype, requires_grad=True) + out_proj_weight = torch.randn(dim // 2, dim, device=device, dtype=itype, requires_grad=True) + out_proj_bias = None + A = (-0.5 * torch.rand(dim, dstate, device=device, dtype=wtype)).requires_grad_() + B = (torch.randn(dim, dstate, device=device, dtype=wtype, requires_grad=True) + if not is_variable_B else None) + C = (torch.randn(dim, dstate, device=device, dtype=wtype, requires_grad=True) + if not is_variable_C else None) + D = torch.randn(dim, device=device, dtype=torch.float32, requires_grad=True) + delta_bias = (0.5 * torch.rand(dim, device=device, dtype=torch.float32)).requires_grad_() + B_proj_bias = None + C_proj_bias = None + xz_ref = xz.detach().clone().requires_grad_() + conv1d_weight_ref = conv1d_weight.detach().clone().requires_grad_() + conv1d_bias_ref = conv1d_bias.detach().clone().requires_grad_() + x_proj_weight_ref = x_proj_weight.detach().clone().requires_grad_() + delta_proj_weight_ref = delta_proj_weight.detach().clone().requires_grad_() + out_proj_weight_ref = out_proj_weight.detach().clone().requires_grad_() + out_proj_bias_ref = (out_proj_bias.detach().clone().requires_grad_() + if out_proj_bias is not None else None) + A_ref = A.detach().clone().requires_grad_() + B_ref = B.detach().clone().requires_grad_() if B is not None else None + C_ref = C.detach().clone().requires_grad_() if C is not None else None + D_ref = D.detach().clone().requires_grad_() + delta_bias_ref = delta_bias.detach().clone().requires_grad_() if delta_bias is not None else None + out = mamba_inner_fn(xz, conv1d_weight, conv1d_bias, x_proj_weight, delta_proj_weight, + out_proj_weight, out_proj_bias, + A, B, C, D, delta_bias=delta_bias, delta_softplus=True) + out_ref = mamba_inner_ref(xz_ref, conv1d_weight_ref, conv1d_bias_ref, x_proj_weight_ref, + delta_proj_weight_ref, out_proj_weight_ref, out_proj_bias_ref, + A_ref, B_ref, C_ref, D_ref, + delta_bias=delta_bias_ref, delta_softplus=True) + # dA = torch.exp(torch.einsum('bdl,dn->bdln', delta, A)) + # dt_u = delta * u + + print(f'Output max diff: {(out - out_ref).abs().max().item()}') + print(f'Output mean diff: {(out - out_ref).abs().mean().item()}') + assert torch.allclose(out, out_ref, rtol=rtol, atol=atol) + + g = torch.randn_like(out) + out_ref.backward(g) + out.backward(g) + + print(f'dxz max diff: {(xz.grad - xz_ref.grad).abs().max().item()}') + print(f'dA max diff: {(A.grad - A_ref.grad).abs().max().item()}') + if not is_variable_B: + print(f'dB max diff: {(B.grad - B_ref.grad).abs().max().item()}') + if not is_variable_C: + print(f'dC max diff: {(C.grad - C_ref.grad).abs().max().item()}') + print(f'dD max diff: {(D.grad - D_ref.grad).abs().max().item()}') + print(f'ddelta_bias max diff: {(delta_bias.grad - delta_bias_ref.grad).abs().max().item()}') + print(f'dout_proj_weight max diff: {(out_proj_weight.grad - out_proj_weight_ref.grad).abs().max().item()}') + print(f'ddelta_proj_weight max diff: {(delta_proj_weight.grad - delta_proj_weight_ref.grad).abs().max().item()}') + print(f'dx_proj_weight max diff: {(x_proj_weight.grad - x_proj_weight_ref.grad).abs().max().item()}') + print(f'dconv1d_weight max diff: {(conv1d_weight.grad - conv1d_weight_ref.grad).abs().max().item()}') + print(f'dconv1d_bias max diff: {(conv1d_bias.grad - conv1d_bias_ref.grad).abs().max().item()}') + + # assert torch.allclose(xz.grad, xz_ref.grad.to(dtype=itype), rtol=rtol * 2, atol=atol * 2) + # assert torch.allclose(delta.grad, delta_ref.grad.to(dtype=itype), rtol=rtol * 5, atol=atol * 10) + # assert torch.allclose(A.grad, A_ref.grad, rtol=rtolw, atol=atolw * 5) + # assert torch.allclose(B.grad, B_ref.grad, rtol=rtolw if not is_variable_B else rtol, + # atol=atolw if not is_variable_B else atol) + # assert torch.allclose(C.grad, C_ref.grad, rtol=rtolw if not is_variable_C else rtol, + # atol=atolw if not is_variable_C else atol) + # assert torch.allclose(D.grad, D_ref.grad, rtol=rtolw, atol=atolw) + # assert torch.allclose(delta_bias.grad, delta_bias_ref.grad, rtol=rtolw, atol=atolw) diff --git a/tests/ops/triton/test_layernorm_gated.py b/tests/ops/triton/test_layernorm_gated.py new file mode 100644 index 0000000000000000000000000000000000000000..de669e85b3fed009b5538621e62bf10b6f2cb9e4 --- /dev/null +++ b/tests/ops/triton/test_layernorm_gated.py @@ -0,0 +1,103 @@ +import math + +import torch +import torch.nn.functional as F + +import pytest + +from einops import rearrange, repeat + +from mamba_ssm.ops.triton.layernorm_gated import layernorm_fn, rms_norm_ref + + +@pytest.mark.parametrize("norm_before_gate", [True, False]) +# @pytest.mark.parametrize("norm_before_gate", [False]) +@pytest.mark.parametrize("has_group", [False, True]) +# @pytest.mark.parametrize("has_group", [False]) +@pytest.mark.parametrize("is_rms_norm", [False, True]) +# @pytest.mark.parametrize("is_rms_norm", [True]) +@pytest.mark.parametrize("has_z", [False, True]) +# @pytest.mark.parametrize("has_z", [True]) +@pytest.mark.parametrize("has_bias", [False, True]) +# @pytest.mark.parametrize("has_bias", [False]) +# @pytest.mark.parametrize('dtype', [torch.float32, torch.float16, torch.bfloat16]) +@pytest.mark.parametrize('dtype', [torch.float16]) +# @pytest.mark.parametrize("wtype", [torch.float32, torch.float16, torch.bfloat16]) +@pytest.mark.parametrize("wtype", [torch.float32]) +@pytest.mark.parametrize('d', [2048, 4096]) +# @pytest.mark.parametrize('d', [4096]) +def test_layer_norm_gated(d, dtype, wtype, has_bias, has_z, is_rms_norm, has_group, norm_before_gate): + if not has_z and not norm_before_gate: + pytest.skip() + if not norm_before_gate and not is_rms_norm: # Reference LN isn't implemented for this case yet + pytest.skip() + device = 'cuda' + rtol, atol = (1e-5, 1e-5) if dtype == torch.float32 else (1e-2, 8e-3) + group_size = None if not has_group else 64 + # set seed + torch.random.manual_seed(0) + batch = 16 + seqlen = 1024 + x = torch.randn(batch, seqlen, d, dtype=dtype, device=device, requires_grad=True) + if has_z: + z = torch.randn(batch, seqlen, d, dtype=dtype, device=device, requires_grad=True) + else: + z = None + weight = torch.randn(d, dtype=wtype, device=device, requires_grad=True) + if has_bias: + bias = torch.randn(d, dtype=wtype, device=device, requires_grad=True) + else: + bias = None + x_ref = x.detach().clone().requires_grad_() + x_pt = x.detach().clone().requires_grad_() + z_ref = z.detach().clone().requires_grad_() if z is not None else None + z_pt = z.detach().clone().requires_grad_() if z is not None else None + weight_ref = weight.detach().clone().requires_grad_() + weight_pt = weight.detach().clone().requires_grad_() + bias_ref = bias.detach().clone().requires_grad_() if bias is not None else None + bias_pt = bias.detach().clone().requires_grad_() if bias is not None else None + out = layernorm_fn(x, weight, bias, z=z, eps=1e-5, group_size=group_size, norm_before_gate=norm_before_gate, + is_rms_norm=is_rms_norm) + if not is_rms_norm: + if not has_group: + out_ref = F.layer_norm(x_ref.float(), (d,), weight=weight_ref.float(), bias=bias_ref.float() if bias_ref is not None else None, eps=1e-5) + out_pt = F.layer_norm(x_pt.to(wtype), (d,), weight=weight_pt, bias=bias_pt, eps=1e-5) + else: + out_ref = rearrange(F.layer_norm(rearrange(x_ref, "... (g d) -> ... g d", d=group_size).float(), (group_size,), eps=1e-5), "... g d -> ... (g d)") * weight_ref.float() + if has_bias: + out_ref = out_ref + bias_ref.float() + out_pt = rearrange(F.layer_norm(rearrange(x_pt, "... (g d) -> ... g d", d=group_size), (group_size,), eps=1e-5), "... g d -> ... (g d)") * weight_pt + if has_bias: + out_pt = out_pt + bias_pt + if has_z and norm_before_gate: + out_ref = out_ref * F.silu(z_ref.float()) + out_pt = out_pt * F.silu(z_pt) + else: + out_ref = rms_norm_ref(x_ref, weight_ref, bias_ref, z=z_ref, eps=1e-5, group_size=group_size, + norm_before_gate=norm_before_gate) + out_pt = rms_norm_ref(x_pt, weight_pt, bias_pt, z=z_pt, eps=1e-5, group_size=group_size, + norm_before_gate=norm_before_gate, upcast=False) + print(f"Max diff = {(out - out_ref).abs().max().item()}") + print(f"Max diff Pytorch = {(out_pt - out_ref).abs().max().item()}") + assert (out - out_ref).abs().max().item() <= 2 * (out_pt - out_ref).abs().max().item() + atol + + g = torch.randn_like(out) + out.backward(g) + out_ref.backward(g) + out_pt.backward(g) + print(f"Max dx diff = {(x.grad - x_ref.grad).abs().max().item()}") + print(f"Max dx diff Pytorch = {(x_pt.grad - x_ref.grad).abs().max().item()}") + if has_z: + print(f"Max dz diff = {(z.grad - z_ref.grad).abs().max().item()}") + print(f"Max dz diff Pytorch = {(z_pt.grad - z_ref.grad).abs().max().item()}") + print(f"Max dw diff = {(weight.grad - weight_ref.grad).abs().max().item()}") + print(f"Max dw diff Pytorch = {(weight_pt.grad - weight_ref.grad).abs().max().item()}") + if has_bias: + print(f"Max db diff = {(bias.grad - bias_ref.grad).abs().max().item()}") + print(f"Max db diff Pytorch = {(bias_pt.grad - bias_ref.grad).abs().max().item()}") + assert (x.grad - x_ref.grad).abs().max().item() <= 2 * (x_pt.grad - x_ref.grad).abs().max().item() + atol + if has_z: + assert (z.grad - z_ref.grad).abs().max().item() <= 2 * (z_pt.grad - z_ref.grad).abs().max().item() + atol + assert (weight.grad - weight_ref.grad).abs().max().item() <= 2 * (weight_pt.grad - weight_ref.grad).abs().max().item() + atol + if has_bias: + assert (bias.grad - bias_ref.grad).abs().max().item() <= 2 * (bias_pt.grad - bias_ref.grad).abs().max().item() + atol diff --git a/tests/ops/triton/test_selective_state_update.py b/tests/ops/triton/test_selective_state_update.py new file mode 100644 index 0000000000000000000000000000000000000000..55408c89c38f7c680dcba562db40c5461b8258a2 --- /dev/null +++ b/tests/ops/triton/test_selective_state_update.py @@ -0,0 +1,201 @@ +# Copyright (C) 2023, Tri Dao. + +import math + +import torch +import torch.nn.functional as F +import pytest + +from einops import rearrange, repeat + +from mamba_ssm.ops.triton.selective_state_update import selective_state_update, selective_state_update_ref + + +@pytest.mark.parametrize("itype", [torch.float32, torch.float16, torch.bfloat16]) +# @pytest.mark.parametrize('itype', [torch.float16]) +@pytest.mark.parametrize("has_z", [False, True]) +# @pytest.mark.parametrize('has_z', [True]) +@pytest.mark.parametrize("dstate", [16, 32, 64]) +# @pytest.mark.parametrize("dstate", [16]) +@pytest.mark.parametrize("dim", [2048, 2048 + 16, 4096]) +# @pytest.mark.parametrize("dim", [2048]) +def test_selective_state_update(dim, dstate, has_z, itype): + device = "cuda" + rtol, atol = (3e-4, 1e-3) if itype == torch.float32 else (5e-3, 1e-2) + if itype == torch.bfloat16: + rtol, atol = 1e-2, 5e-2 + if torch.version.hip: + atol *= 2 + # set seed + torch.random.manual_seed(0) + batch_size = 2 + state = torch.randn(batch_size, dim, dstate, dtype=itype, device=device) + x = torch.randn(batch_size, dim, device=device, dtype=itype) + dt = torch.randn(batch_size, dim, device=device, dtype=itype) + dt_bias = torch.rand(dim, device=device) - 4.0 + A = -torch.rand(dim, dstate, device=device) - 1.0 + B = torch.randn(batch_size, dstate, device=device) + C = torch.randn(batch_size, dstate, device=device) + D = torch.randn(dim, device=device) + if has_z: + z = torch.randn_like(x) + else: + z = None + state_ref = state.detach().clone() + out = selective_state_update(state, x, dt, A, B, C, D=D, z=z, dt_bias=dt_bias, dt_softplus=True) + out_ref = selective_state_update_ref(state_ref, x, dt, A, B, C, D=D, z=z, dt_bias=dt_bias, dt_softplus=True) + + print(f"Output max diff: {(out - out_ref).abs().max().item()}") + print(f"Output mean diff: {(out - out_ref).abs().mean().item()}") + assert torch.allclose(state, state_ref, rtol=rtol, atol=atol) + assert torch.allclose(out, out_ref, rtol=rtol, atol=atol) + + +@pytest.mark.parametrize("itype", [torch.float32, torch.float16, torch.bfloat16]) +# @pytest.mark.parametrize('itype', [torch.float16]) +@pytest.mark.parametrize("has_z", [False, True]) +# @pytest.mark.parametrize('has_z', [True]) +@pytest.mark.parametrize("tie_hdim", [False, True]) +# @pytest.mark.parametrize('tie_hdim', [True]) +@pytest.mark.parametrize("ngroups", [1, 2, 4]) +# @pytest.mark.parametrize("ngroups", [2]) +@pytest.mark.parametrize("dstate", [16, 32, 64]) +# @pytest.mark.parametrize("dstate", [16]) +@pytest.mark.parametrize("dim", [2048, 4096]) +# @pytest.mark.parametrize("dim", [2048]) +def test_selective_state_update_with_heads(dim, dstate, ngroups, has_z, tie_hdim, itype): + device = "cuda" + rtol, atol = (3e-4, 1e-3) if itype == torch.float32 else (5e-3, 3e-2) + if itype == torch.bfloat16: + rtol, atol = 1e-2, 1e-1 + # set seed + torch.random.manual_seed(0) + batch_size = 2 + headdim = 64 + nheads = dim // headdim + state = torch.randn(batch_size, nheads, headdim, dstate, dtype=itype, device=device) + x = torch.randn(batch_size, nheads, headdim, device=device, dtype=itype) + if not tie_hdim: + dt = torch.randn(batch_size, nheads, headdim, device=device, dtype=itype) + dt_bias = torch.rand(nheads, headdim, device=device) - 4.0 + A = -torch.rand(nheads, headdim, dstate, device=device) - 1.0 + D = torch.randn(nheads, headdim, device=device) + else: + dt = repeat(torch.randn(batch_size, nheads, device=device, dtype=itype), "b h -> b h p", p=headdim) + dt_bias = repeat(torch.rand(nheads, device=device) - 4.0, "h -> h p", p=headdim) + A = repeat(-torch.rand(nheads, device=device) - 1.0, "h -> h p n", p=headdim, n=dstate) + D = repeat(torch.randn(nheads, device=device), "h -> h p", p=headdim) + B = torch.randn(batch_size, ngroups, dstate, device=device) + C = torch.randn(batch_size, ngroups, dstate, device=device) + if has_z: + z = torch.randn_like(x) + else: + z = None + state_ref = state.detach().clone() + state_og = state.detach().clone() + out = selective_state_update(state, x, dt, A, B, C, D=D, z=z, dt_bias=dt_bias, dt_softplus=True) + out_ref = selective_state_update_ref(state_ref, x, dt, A, B, C, D=D, z=z, dt_bias=dt_bias, dt_softplus=True) + + print(f"Output max diff: {(out - out_ref).abs().max().item()}") + print(f"Output mean diff: {(out - out_ref).abs().mean().item()}") + assert torch.allclose(state, state_ref, rtol=rtol, atol=atol) + assert torch.allclose(out, out_ref, rtol=rtol, atol=atol) + +@pytest.mark.parametrize("itype", [torch.float32, torch.float16, torch.bfloat16]) +# @pytest.mark.parametrize('itype', [torch.float16]) +@pytest.mark.parametrize("has_z", [False, True]) +# @pytest.mark.parametrize('has_z', [True]) +@pytest.mark.parametrize("dstate", [16, 32, 64]) +# @pytest.mark.parametrize("dstate", [16]) +@pytest.mark.parametrize("dim", [2048, 2048 + 16, 4096]) +# @pytest.mark.parametrize("dim", [2048]) +def test_selective_state_update_with_batch_indices(dim, dstate, has_z, itype): + device = "cuda" + rtol, atol = (3e-4, 1e-3) if itype == torch.float32 else (5e-3, 1e-2) + if itype == torch.bfloat16: + rtol, atol = 6e-2, 6e-2 + if torch.version.hip: + atol *= 2 + # set seed + torch.random.manual_seed(0) + batch_size = 16 + + total_entries = 10 * batch_size + state = torch.randn(total_entries, dim, dstate, dtype=itype, device=device) + state_indices = torch.randperm(total_entries)[:batch_size].to(dtype=torch.int32, device=device) + + x = torch.randn(batch_size, dim, device=device, dtype=itype) + dt = torch.randn(batch_size, dim, device=device, dtype=itype) + dt_bias = torch.rand(dim, device=device) - 4.0 + A = -torch.rand(dim, dstate, device=device) - 1.0 + B = torch.randn(batch_size, dstate, device=device) + C = torch.randn(batch_size, dstate, device=device) + D = torch.randn(dim, device=device) + if has_z: + z = torch.randn_like(x) + else: + z = None + state_ref = state[state_indices,:].detach().clone() + out = selective_state_update(state, x, dt, A, B, C, D=D, z=z, + dt_bias=dt_bias, dt_softplus=True, state_batch_indices=state_indices) + out_ref = selective_state_update_ref(state_ref, x, dt, A, B, C, D=D, z=z, dt_bias=dt_bias, dt_softplus=True) + + print(f"Output max diff: {(out - out_ref).abs().max().item()}") + print(f"Output mean diff: {(out - out_ref).abs().mean().item()}") + assert torch.allclose(state[state_indices,:], state_ref, rtol=rtol, atol=atol) + assert torch.allclose(out, out_ref, rtol=rtol, atol=atol) + + +@pytest.mark.parametrize("itype", [torch.float32, torch.float16, torch.bfloat16]) +#@pytest.mark.parametrize('itype', [torch.float32]) +@pytest.mark.parametrize("has_z", [False, True]) +# @pytest.mark.parametrize('has_z', [True]) +@pytest.mark.parametrize("tie_hdim", [False, True]) +# @pytest.mark.parametrize('tie_hdim', [True]) +@pytest.mark.parametrize("ngroups", [1, 2, 4]) +# @pytest.mark.parametrize("ngroups", [2]) +@pytest.mark.parametrize("dstate", [16, 32, 64]) +# @pytest.mark.parametrize("dstate", [16]) +@pytest.mark.parametrize("dim", [2048, 4096]) +# @pytest.mark.parametrize("dim", [2048]) +def test_selective_state_update_with_heads_with_batch_indices(dim, dstate, ngroups, has_z, tie_hdim, itype): + device = "cuda" + rtol, atol = (3e-4, 1e-3) if itype == torch.float32 else (5e-3, 3e-2) + if itype == torch.bfloat16: + rtol, atol = 1e-1, 1e-1 + # set seed + torch.random.manual_seed(0) + batch_size = 16 + headdim = 64 + nheads = dim // headdim + + total_entries = 10 * batch_size + state = torch.randn(total_entries, nheads, headdim, dstate, dtype=itype, device=device) + state_indices = torch.randperm(total_entries)[:batch_size].to(dtype=torch.int32, device=device) + + x = torch.randn(batch_size, nheads, headdim, device=device, dtype=itype) + if not tie_hdim: + dt = torch.randn(batch_size, nheads, headdim, device=device, dtype=itype) + dt_bias = torch.rand(nheads, headdim, device=device) - 4.0 + A = -torch.rand(nheads, headdim, dstate, device=device) - 1.0 + D = torch.randn(nheads, headdim, device=device) + else: + dt = repeat(torch.randn(batch_size, nheads, device=device, dtype=itype), "b h -> b h p", p=headdim) + dt_bias = repeat(torch.rand(nheads, device=device) - 4.0, "h -> h p", p=headdim) + A = repeat(-torch.rand(nheads, device=device) - 1.0, "h -> h p n", p=headdim, n=dstate) + D = repeat(torch.randn(nheads, device=device), "h -> h p", p=headdim) + B = torch.randn(batch_size, ngroups, dstate, device=device) + C = torch.randn(batch_size, ngroups, dstate, device=device) + if has_z: + z = torch.randn_like(x) + else: + z = None + state_ref = state[state_indices,:].detach().clone() + state_og = state[state_indices,:].detach().clone() + out = selective_state_update(state, x, dt, A, B, C, D=D, z=z, dt_bias=dt_bias, dt_softplus=True, state_batch_indices=state_indices) + out_ref = selective_state_update_ref(state_ref, x, dt, A, B, C, D=D, z=z, dt_bias=dt_bias, dt_softplus=True) + + print(f"Output max diff: {(out - out_ref).abs().max().item()}") + print(f"Output mean diff: {(out - out_ref).abs().mean().item()}") + assert torch.allclose(state[state_indices,:], state_ref, rtol=rtol, atol=atol) + assert torch.allclose(out, out_ref, rtol=rtol, atol=atol) diff --git a/tests/ops/triton/test_ssd.py b/tests/ops/triton/test_ssd.py new file mode 100644 index 0000000000000000000000000000000000000000..d45152d677903c85a73abeb5833a476d40eed602 --- /dev/null +++ b/tests/ops/triton/test_ssd.py @@ -0,0 +1,78 @@ +import math + +import torch +import torch.nn.functional as F + +import pytest + +from einops import rearrange, repeat + +from mamba_ssm.ops.triton.ssd_chunk_state import chunk_state, chunk_state_ref +from mamba_ssm.ops.triton.ssd_chunk_state import _chunk_cumsum_fwd, _chunk_state_fwd +from mamba_ssm.ops.triton.ssd_chunk_state import chunk_state_varlen +from mamba_ssm.ops.triton.ssd_state_passing import state_passing, state_passing_ref +from mamba_ssm.ops.triton.ssd_state_passing import _state_passing_fwd +from mamba_ssm.ops.triton.ssd_chunk_scan import chunk_scan, chunk_scan_ref +from mamba_ssm.ops.triton.ssd_combined import mamba_chunk_scan_combined, mamba_chunk_scan, ssd_chunk_scan_combined_ref, ssd_selective_scan +from mamba_ssm.ops.triton.ssd_combined import mamba_split_conv1d_scan_combined, mamba_split_conv1d_scan_ref + + +def detach_clone(*args): + return tuple([arg.detach().clone().requires_grad_() if arg is not None else None for arg in args]) + + +@pytest.mark.parametrize('dtype', [torch.float32, torch.float16, torch.bfloat16]) +# @pytest.mark.parametrize('dtype', [torch.bfloat16]) +@pytest.mark.parametrize('ngroups', [1, 2, 8, "max"]) +# @pytest.mark.parametrize('ngroups', [1]) +@pytest.mark.parametrize('chunk_size', [64, 128]) +# @pytest.mark.parametrize('chunk_size', [128]) +def test_chunk_state_varlen(chunk_size, ngroups, dtype): + device = 'cuda' + rtol, atol = (1e-2, 3e-3) + # set seed + torch.random.manual_seed(chunk_size + (ngroups if ngroups != "max" else 64)) + batch = 300 + seqlens = torch.randint(1, 200, (batch,), device=device) + # batch = 3 + # seqlens = torch.tensor([201, 56, 5], device=device) + cu_seqlens = F.pad(seqlens.cumsum(0), (1, 0)) + total_seqlen = seqlens.sum().item() + seq_idx = torch.cat([torch.full((s,), i, dtype=torch.int32, device=device) for i, s in enumerate(seqlens)], dim=0).unsqueeze(0) + dim = 4096 + # dim = 64 + headdim = 64 + # dim = 32 + dstate = 32 + assert dim % headdim == 0 + nheads = dim // headdim + if ngroups == "max": + ngroups = nheads + assert nheads % ngroups == 0 + B = torch.randn(total_seqlen, ngroups, dstate, dtype=dtype, device=device) / 5 + x = torch.randn(total_seqlen, nheads, headdim, dtype=dtype, device=device) + A = -0.1 * (torch.rand(nheads, device=device)) + dt = F.softplus(torch.randn(total_seqlen, nheads, device=device, dtype=torch.float32) - 4) + dA_cumsum, dt_rounded = _chunk_cumsum_fwd(dt.unsqueeze(0), A, chunk_size) + chunk_states = _chunk_state_fwd(B.unsqueeze(0), x.unsqueeze(0), dt_rounded, dA_cumsum, seq_idx=seq_idx) + chunk_states, _ = _state_passing_fwd(rearrange(chunk_states, "... p n -> ... (p n)"), dA_cumsum[:, :, :, -1], + seq_idx=seq_idx, chunk_size=chunk_size) + chunk_states = rearrange(chunk_states, "... (p n) -> ... p n", n=dstate) + chunk_states = chunk_states.squeeze(0) + dA_cumsum = dA_cumsum.squeeze(0) + dt_rounded = dt_rounded.squeeze(0) + out = chunk_state_varlen(B, x, dt_rounded, dA_cumsum, cu_seqlens, chunk_states) + out_ref = [] + for b in range(batch): + x_s = x[cu_seqlens[b]:cu_seqlens[b + 1]].unsqueeze(0) + B_s = B[cu_seqlens[b]:cu_seqlens[b + 1]].unsqueeze(0) + dt_s = dt[cu_seqlens[b]:cu_seqlens[b + 1]].unsqueeze(0) + dA_cumsum_s, dt_rounded_s = _chunk_cumsum_fwd(dt_s, A, chunk_size) + states = chunk_state(B_s, x_s, dt_rounded_s, dA_cumsum_s) + _, final_states = _state_passing_fwd(rearrange(states, "... p n -> ... (p n)"), dA_cumsum_s[:, :, :, -1], + chunk_size=chunk_size) + final_states = rearrange(final_states, "... (p n) -> ... p n", n=dstate) + out_ref.append(final_states) + out_ref = torch.cat(out_ref, dim=0) + print(f"Max diff = {(out - out_ref).abs().max().item()}") + assert torch.allclose(out, out_ref, rtol=rtol, atol=atol) diff --git a/tests/test_generation.py b/tests/test_generation.py new file mode 100644 index 0000000000000000000000000000000000000000..77e1aedfa1e909510e156341837f02fcd09ab74f --- /dev/null +++ b/tests/test_generation.py @@ -0,0 +1,113 @@ +import torch +import torch.nn.functional as F + +from mamba_ssm.models.mixer_seq_simple import MambaLMHeadModel +from mamba_ssm.models.config_mamba import MambaConfig +from mamba_ssm.utils.generation import InferenceParams + +import pytest + +from einops import rearrange, repeat + + +def test_generation(): + batch = 3 + seqlen = 20 + device = "cuda" + dtype = torch.float16 + + config = MambaConfig( + d_model=1024, + n_layer=4, + vocab_size=50277, + ssm_cfg=dict(layer="Mamba2"), + rms_norm=True, + residual_in_fp32=True, + fused_add_norm=True, + pad_vocab_size_multiple=16, + ) + torch.manual_seed(2357) + model = MambaLMHeadModel(config, device=device, dtype=dtype) + x = torch.randint(0, 1000, (batch, seqlen), device=device, dtype=torch.long) + out_ref = model(x).logits + prompt_len = seqlen // 2 + out = model.generate( + input_ids = x[:, :prompt_len], max_length=seqlen, output_scores=True, return_dict_in_generate=True, + cg=True, # Can turn off CUDA graph for easier debugging + # instead of sampling, we take output tokens from x, to get logits for testing + # For actual generation, don't pass in teacher_outputs + teacher_outputs=x, + ) + out_scores = torch.stack(out.scores, dim=1) + print(f"Max diff: {(out_scores - out_ref[:, prompt_len - 1: -1]).abs().max()}") + assert torch.allclose(out_scores, out_ref[:, prompt_len - 1: -1], rtol=1e-3, atol=1e-2) + + +def test_generation_varlen(): + seqlens = [170, 65, 100] + genlen = 20 + total_seqlen = sum(seqlens) + device = "cuda" + dtype = torch.float16 + + config = MambaConfig( + d_model=1024, + n_layer=4, + vocab_size=50277, + ssm_cfg=dict(layer="Mamba2"), + rms_norm=True, + residual_in_fp32=True, + fused_add_norm=True, + pad_vocab_size_multiple=16, + ) + torch.manual_seed(2357) + model = MambaLMHeadModel(config, device=device, dtype=dtype) + xs = [torch.randint(0, 1000, (1, seqlen), device=device, dtype=torch.long) for seqlen in seqlens] + + # Reference 1: Forward pass with seq_idx + x = torch.cat(xs, dim=1) + seq_idx = torch.cat([torch.full((ids.shape[1],), i, dtype=torch.int32, device=device) + for i, ids in enumerate(xs)], dim=0).unsqueeze(0) + cu_seqlens = F.pad(torch.tensor(seqlens, device=device, dtype=torch.int32).cumsum(dim=0), (1, 0)) + out_ref = model(x, seq_idx=seq_idx).logits + # Only take the last @genlen logits of each sequence + out_ref = torch.cat([out_ref[:, cu_seqlens[i + 1] - genlen - 1:cu_seqlens[i + 1] - 1] + for i in range(len(seqlens))], dim=0) + + # Reference 2: Generate the last @genlen tokens of each sequence in a for loop + out_loop = [] + for input_ids in xs: + out = model.generate( + input_ids=input_ids[:, :-genlen], max_length=input_ids.shape[1], output_scores=True, + return_dict_in_generate=True, cg=True, teacher_outputs=input_ids, + ).scores + out_loop.append(torch.stack(out, dim=1)) + out_loop = torch.cat(out_loop, dim=0) + print(f"Max diff between ref1 and ref2: {(out_loop - out_ref).abs().max()}") + + # Varlen generation + input_ids = torch.cat([ids[:, :-genlen] for ids in xs], dim=1) + prompt_seqlens = [seqlen - genlen for seqlen in seqlens] + cu_seqlens = F.pad(torch.tensor(prompt_seqlens, device=device, dtype=torch.int32).cumsum(dim=0), (1, 0)) + seq_idx = torch.cat([torch.full((seqlen,), i, dtype=torch.int32, device=device) + for i, seqlen in enumerate(prompt_seqlens)], dim=0).unsqueeze(0) + inference_params = InferenceParams(max_seqlen=2048, max_batch_size=len(seqlens)) + + scores, sequences = [], [] + # Both seq_idx and cu_seqlens must be passed in for varlen generation + logits = model(input_ids, inference_params=inference_params, seq_idx=seq_idx, cu_seqlens=cu_seqlens).logits + logits = rearrange(logits[0, cu_seqlens[1:] - 1], "b d -> b 1 d") + scores.append(logits) + # In practice we should sample. In this case we take from the teacher_output for testing + sampled_tokens = rearrange(torch.stack([ids[0, -genlen] for ids in xs], dim=0), "b -> b 1") + sequences.append(sampled_tokens) + for i in range(1, genlen): + inference_params.seqlen_offset += 1 + logits = model(sampled_tokens, inference_params=inference_params, num_last_tokens=1).logits + scores.append(logits) + # In practice we should sample. In this case we take from the teacher_output for testing + sampled_tokens = rearrange(torch.stack([ids[0, -genlen + i] for ids in xs], dim=0), "b -> b 1") + sequences.append(sampled_tokens) + out_varlen = torch.cat(scores, dim=1) + print(f"Max diff: {(out_varlen - out_ref).abs().max()}") + assert (out_varlen - out_ref).abs().max() < 2 * (out_loop - out_ref).abs().max() diff --git a/torch-ext/mamba_ssm/__init__.py b/torch-ext/mamba_ssm/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..a767386abca1cf69349f8777984014ba0c00ae9d --- /dev/null +++ b/torch-ext/mamba_ssm/__init__.py @@ -0,0 +1,14 @@ +__version__ = "2.2.4" + +from .ops.selective_scan_interface import selective_scan_fn, mamba_inner_fn +from .modules.mamba_simple import Mamba +from .modules.mamba2 import Mamba2 +from .models.mixer_seq_simple import MambaLMHeadModel + +__all__ = [ + "selective_scan_fn", + "mamba_inner_fn", + "Mamba", + "Mamba2", + "MambaLMHeadModel", +] diff --git a/torch-ext/mamba_ssm/distributed/__init__.py b/torch-ext/mamba_ssm/distributed/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/torch-ext/mamba_ssm/distributed/distributed_utils.py b/torch-ext/mamba_ssm/distributed/distributed_utils.py new file mode 100644 index 0000000000000000000000000000000000000000..74c55279645cd0fd687584bc1b7374c8c3c73e56 --- /dev/null +++ b/torch-ext/mamba_ssm/distributed/distributed_utils.py @@ -0,0 +1,144 @@ +from typing import Optional + +import torch +from torch import Tensor +from torch.distributed import ProcessGroup + +# `all_gather_into_tensor` and `reduce_scatter_tensor` are new placeholders for +# `_all_gather_base` and `_reduce_scatter_base`. They require the most recent +# version of PyTorch. The following 4 lines are for backward compatibility with +# older PyTorch. +if "all_gather_into_tensor" not in dir(torch.distributed): + torch.distributed.all_gather_into_tensor = torch.distributed._all_gather_base +if "reduce_scatter_tensor" not in dir(torch.distributed): + torch.distributed.reduce_scatter_tensor = torch.distributed._reduce_scatter_base + + +# Raw operation, does not support autograd, but does support async +def all_gather_raw(input_: Tensor, process_group: ProcessGroup, async_op: bool = False): + world_size = torch.distributed.get_world_size(process_group) + output = torch.empty( + world_size * input_.shape[0], *input_.shape[1:], dtype=input_.dtype, device=input_.device + ) + handle = torch.distributed.all_gather_into_tensor( + output, input_.contiguous(), group=process_group, async_op=async_op + ) + return output, handle + + +# Raw operation, does not support autograd, but does support async +def reduce_scatter_raw(input_: Tensor, process_group: ProcessGroup, async_op: bool = False): + world_size = torch.distributed.get_world_size(process_group) + assert input_.shape[0] % world_size == 0 + output = torch.empty( + input_.shape[0] // world_size, *input_.shape[1:], dtype=input_.dtype, device=input_.device + ) + handle = torch.distributed.reduce_scatter_tensor( + output, input_.contiguous(), group=process_group, async_op=async_op + ) + return output, handle + + +# Raw operation, does not support autograd, but does support async +def all_reduce_raw(input_: Tensor, process_group: ProcessGroup, async_op: bool = False): + input_ = input_.contiguous() + handle = torch.distributed.all_reduce(input_, group=process_group, async_op=async_op) + return input_, handle + + +class AllGatherFunc(torch.autograd.Function): + """Gather the input from sequence parallel region and concatenate.""" + + @staticmethod + def forward(ctx, input_: Tensor, process_group: ProcessGroup) -> Tensor: + ctx.process_group = process_group + output, _ = all_gather_raw(input_, process_group) + return output + + @staticmethod + def backward(ctx, grad_output: Tensor): + grad_input, _ = reduce_scatter_raw(grad_output, ctx.process_group) + return grad_input, None + + +# Supports autograd, but does not support async +all_gather = AllGatherFunc.apply + + +class ReduceScatterFunc(torch.autograd.Function): + """Reduce scatter the input from the sequence parallel region and concatenate.""" + + @staticmethod + def forward(ctx, input_: Tensor, process_group: ProcessGroup) -> Tensor: + ctx.process_group = process_group + output, _ = reduce_scatter_raw(input_, process_group) + return output + + @staticmethod + def backward(ctx, grad_output: Tensor): + grad_input, _ = all_gather_raw(grad_output, ctx.process_group) + return grad_input, None + + +# Supports autograd, but does not support async +reduce_scatter = ReduceScatterFunc.apply + + +class AllReduceFunc(torch.autograd.Function): + """Gather the input from sequence parallel region and concatenate.""" + + @staticmethod + def forward(ctx, input_: Tensor, process_group: ProcessGroup) -> Tensor: + ctx.process_group = process_group + output, _ = all_reduce_raw(input_, process_group) + return output + + @staticmethod + def backward(ctx, grad_output: Tensor): + return grad_output, None + + +# Supports autograd, but does not support async +all_reduce = AllReduceFunc.apply + + +def sync_shared_params(model: torch.nn.Module, process_group: ProcessGroup): + # We want to iterate over parameters with _shared_params=True in the same order, + # as different ranks might have different number of parameters (e.g., only rank 0 has bias). + pamams_shared = { + name: p for name, p in model.named_parameters() if getattr(p, "_shared_params", False) + } + for _, p in sorted(pamams_shared.items()): + with torch.no_grad(): + # Broadcast needs src to be global rank, not group rank + torch.distributed.broadcast( + p, src=torch.distributed.get_global_rank(process_group, 0), group=process_group + ) + + +# Ref: https://github.com/NVIDIA/Megatron-LM/blob/52e636888cccc41e931251c417a7181fc36de926/megatron/optimizer/optimizer.py#L256 +def allreduce_sequence_parallel_grad(model: torch.nn.Module, process_group: ProcessGroup): + # We want to iterate over parameters with _sequence_parallel=True in the same order, + # as different ranks might have different number of parameters (e.g., only rank 0 has bias). + params_seqparallel = { + name: p for name, p in model.named_parameters() if getattr(p, "_sequence_parallel", False) + } + grads = [p.grad for _, p in sorted(params_seqparallel.items())] + if grads: + with torch.no_grad(): + coalesced = torch._utils._flatten_dense_tensors(grads) + torch.distributed.all_reduce(coalesced, group=process_group) + for buf, synced in zip(grads, torch._utils._unflatten_dense_tensors(coalesced, grads)): + buf.copy_(synced) + + +def get_dim_for_local_rank(dim: int, world_size: int, local_rank: int, multiple_of: int = 1) -> int: + """Get the dim for the local rank derived from splitting dim on world_size processes. + + The split may not be even across the world_size processes. + """ + multiple = dim // multiple_of + div = multiple // world_size + mod = multiple % world_size + local_multiple = div + int(local_rank < mod) + return local_multiple * multiple_of diff --git a/torch-ext/mamba_ssm/distributed/tensor_parallel.py b/torch-ext/mamba_ssm/distributed/tensor_parallel.py new file mode 100644 index 0000000000000000000000000000000000000000..bac844debfaf5b2c1623e462e6b494419dd9b873 --- /dev/null +++ b/torch-ext/mamba_ssm/distributed/tensor_parallel.py @@ -0,0 +1,326 @@ +# Copyright (c) 2024, Tri Dao. +# The TensorParallel linear modules are inspired by https://github.com/NVIDIA/apex/blob/master/apex/transformer/tensor_parallel/layers.py +from typing import Optional + +import torch +import torch.nn as nn +import torch.nn.functional as F +from torch import Tensor +from torch.distributed import ProcessGroup +from ..utils.torch import custom_bwd, custom_fwd + +from einops import rearrange + +from ..distributed.distributed_utils import ( + all_gather_raw, + all_reduce, + all_reduce_raw, + reduce_scatter, + reduce_scatter_raw, +) + + +class ParallelLinearFunc(torch.autograd.Function): + @staticmethod + @custom_fwd + def forward(ctx, x, weight, bias, process_group=None, sequence_parallel=True): + """ + If process_group is not None and sequence_parallel=True, we're doing Tensor Parallel + with sequence parallelism: we do an all_gather_raw of x before doing the matmul. + """ + ctx.compute_weight_gradient = weight.requires_grad + ctx.process_group = process_group + ctx.sequence_parallel = sequence_parallel + + if torch.is_autocast_enabled(): + x = x.to(dtype=torch.get_autocast_gpu_dtype()) + x = x.contiguous() + if process_group is not None and sequence_parallel: + # We want to kick off the all_gather early, before weight dtype conversion + total_x, handle_x = all_gather_raw(x, process_group, async_op=True) + else: + total_x = x + + if torch.is_autocast_enabled(): + weight = weight.to(dtype=torch.get_autocast_gpu_dtype()) + bias = ( + bias.to(dtype=torch.get_autocast_gpu_dtype()) + if bias is not None + else None + ) + weight = weight.contiguous() + if process_group is not None and sequence_parallel: + handle_x.wait() + batch_shape, n = total_x.shape[:-1], total_x.shape[-1] + batch_dim = batch_shape.numel() + # https://github.com/pytorch/pytorch/blob/5b51849b48a7dbccd297286cc0110def4706f9e7/aten/src/ATen/native/cuda/Blas.cpp#L174 + output = F.linear(total_x, weight, bias) + if ctx.compute_weight_gradient: + ctx.save_for_backward(x, weight) + else: + ctx.save_for_backward(weight) + return output + + @staticmethod + @custom_bwd + def backward(ctx, grad_output): + grad_output = grad_output.contiguous() + process_group = ctx.process_group + sequence_parallel = ctx.sequence_parallel + if ctx.compute_weight_gradient: + x, weight = ctx.saved_tensors + if process_group is not None and sequence_parallel: + total_x, handle_x = all_gather_raw(x, process_group, async_op=True) + else: + total_x = x + else: + (weight,) = ctx.saved_tensors + total_x = None + batch_shape = grad_output.shape[:-1] + batch_dim = batch_shape.numel() + grad_output = grad_output.reshape(batch_dim, grad_output.shape[-1]) + if ctx.needs_input_grad[0]: + grad_input = F.linear(grad_output, weight.t()) + grad_input = grad_input.reshape(*batch_shape, grad_input.shape[-1]) + if process_group is not None: + reduce_fn = reduce_scatter_raw if sequence_parallel else all_reduce_raw + grad_input, handle_grad_input = reduce_fn( + grad_input, process_group, async_op=True + ) + else: + grad_input = None + if ctx.needs_input_grad[1]: + assert ctx.compute_weight_gradient + if process_group is not None and sequence_parallel: + handle_x.wait() + grad_weight = torch.einsum( + "bo,bi->oi", grad_output, total_x.reshape(batch_dim, total_x.shape[-1]) + ) + else: + grad_weight = None + grad_bias = grad_output.sum(dim=0) if ctx.needs_input_grad[2] else None + if process_group is not None and ctx.needs_input_grad[0]: + handle_grad_input.wait() + return grad_input, grad_weight, grad_bias, None, None + + +def parallel_linear_func( + x: Tensor, + weight: Tensor, + bias: Optional[Tensor] = None, + process_group: Optional[ProcessGroup] = None, + sequence_parallel: bool = True, +): + return ParallelLinearFunc.apply(x, weight, bias, process_group, sequence_parallel) + + +class ColumnParallelLinear(nn.Linear): + def __init__( + self, + in_features: int, + out_features: int, + process_group: ProcessGroup, + bias: bool = True, + sequence_parallel=True, + multiple_of=1, + device=None, + dtype=None, + ) -> None: + world_size = torch.distributed.get_world_size(process_group) + if out_features % multiple_of: + raise ValueError( + f"out_features ({out_features}) must be a multiple of {multiple_of}" + ) + multiple = out_features // multiple_of + # We want to split @multiple across world_size, but it could be an uneven split + div = multiple // world_size + mod = multiple % world_size + # The first @mod ranks get @div + 1 copies, the rest get @div copies + local_multiple = div + int(torch.distributed.get_rank(process_group) < mod) + super().__init__( + in_features, + local_multiple * multiple_of, + bias=bias, + device=device, + dtype=dtype, + ) + self.process_group = process_group + self.sequence_parallel = sequence_parallel + + def forward(self, x): + # If self.sequence_parallel is True, we're doing Tensor Parallel with sequence parallelism: + # we do an all_gather of x before doing the matmul. + # If not, then the input is already gathered. + return parallel_linear_func( + x, + self.weight, + self.bias, + process_group=self.process_group, + sequence_parallel=self.sequence_parallel, + ) + + +class RowParallelLinear(nn.Linear): + def __init__( + self, + in_features: int, + out_features: int, + process_group: ProcessGroup, + bias: bool = True, + sequence_parallel=True, + multiple_of=1, + device=None, + dtype=None, + ) -> None: + world_size = torch.distributed.get_world_size(process_group) + rank = torch.distributed.get_rank(process_group) + if in_features % multiple_of: + raise ValueError( + f"in_features ({in_features}) must be a multiple of {multiple_of}" + ) + multiple = in_features // multiple_of + # We want to split @multiple across world_size, but it could be an uneven split + div = multiple // world_size + mod = multiple % world_size + # The first @mod ranks get @div + 1 copies, the rest get @div copies + local_multiple = div + int(torch.distributed.get_rank(process_group) < mod) + # Only rank 0 will have bias + super().__init__( + local_multiple * multiple_of, + out_features, + bias=bias and rank == 0, + device=device, + dtype=dtype, + ) + self.process_group = process_group + self.sequence_parallel = sequence_parallel + + def forward(self, x): + """ + We're doing Tensor Parallel with sequence parallelism: we do the matmul and then + a reduce_scatter of the result. + """ + out = parallel_linear_func(x, self.weight, self.bias) + reduce_fn = reduce_scatter if self.sequence_parallel else all_reduce + return reduce_fn(out, self.process_group) + + +class VocabParallelEmbedding(nn.Embedding): + def __init__( + self, num_embeddings, *args, process_group=None, padding_idx=None, **kwargs + ): + self.process_group = process_group + if process_group is not None: + world_size = torch.distributed.get_world_size(process_group) + if num_embeddings % world_size != 0: + raise ValueError( + f"num_embeddings ({num_embeddings}) must be divisible by " + f"world_size ({world_size})" + ) + if world_size > 1 and padding_idx is not None: + raise RuntimeError("ParallelEmbedding does not support padding_idx") + else: + world_size = 1 + super().__init__( + num_embeddings // world_size, *args, padding_idx=padding_idx, **kwargs + ) + + def forward(self, input: Tensor) -> Tensor: + if self.process_group is None: + return super().forward(input) + else: + rank = torch.distributed.get_rank(self.process_group) + vocab_size = self.num_embeddings + vocab_start_index, vocab_end_index = ( + rank * vocab_size, + (rank + 1) * vocab_size, + ) + # Create a mask of valid vocab ids (1 means it needs to be masked). + input_ids_mask = (input < vocab_start_index) | (input >= vocab_end_index) + input = input - vocab_start_index + input[input_ids_mask] = 0 + embeddings = super().forward(input) + embeddings[input_ids_mask] = 0.0 + return embeddings + + +class ColumnParallelEmbedding(nn.Embedding): + def __init__( + self, num_embeddings, embedding_dim, *args, process_group=None, **kwargs + ): + self.process_group = process_group + if process_group is not None: + world_size = torch.distributed.get_world_size(process_group) + if embedding_dim % world_size != 0: + raise ValueError( + f"embedding_dim ({embedding_dim}) must be divisible by " + f"world_size ({world_size})" + ) + else: + world_size = 1 + super().__init__(num_embeddings, embedding_dim // world_size, *args, **kwargs) + + +class ParallelEmbeddings(nn.Module): + def __init__( + self, + embed_dim, + vocab_size, + max_position_embeddings, + process_group, + padding_idx=None, + sequence_parallel=True, + device=None, + dtype=None, + ): + """ + If max_position_embeddings <= 0, there's no position embeddings + """ + factory_kwargs = {"device": device, "dtype": dtype} + super().__init__() + self.process_group = process_group + self.sequence_parallel = sequence_parallel + self.word_embeddings = VocabParallelEmbedding( + vocab_size, + embed_dim, + padding_idx=padding_idx, + process_group=process_group, + **factory_kwargs, + ) + self.max_position_embeddings = max_position_embeddings + if self.max_position_embeddings > 0: + self.position_embeddings = ColumnParallelEmbedding( + max_position_embeddings, + embed_dim, + process_group=process_group, + **factory_kwargs, + ) + + def forward(self, input_ids, position_ids=None, combine_batch_seqlen_dim=False): + """ + input_ids: (batch, seqlen) + position_ids: (batch, seqlen) + """ + batch_size, seqlen = input_ids.shape + world_size = torch.distributed.get_world_size(self.process_group) + embeddings = self.word_embeddings(input_ids) + if self.max_position_embeddings > 0: + if position_ids is None: + position_ids = torch.arange( + seqlen, dtype=torch.long, device=input_ids.device + ) + position_embeddings = self.position_embeddings(position_ids) + if world_size <= 1: + embeddings = embeddings + position_embeddings + else: + partition_dim = self.position_embeddings.embedding_dim + rank = torch.distributed.get_rank(self.process_group) + embeddings[ + ..., rank * partition_dim : (rank + 1) * partition_dim + ] += position_embeddings + if combine_batch_seqlen_dim: + embeddings = rearrange(embeddings, "b s d -> (b s) d") + reduce_fn = reduce_scatter if self.sequence_parallel else all_reduce + return ( + embeddings if world_size <= 1 else reduce_fn(embeddings, self.process_group) + ) diff --git a/torch-ext/mamba_ssm/models/__init__.py b/torch-ext/mamba_ssm/models/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/torch-ext/mamba_ssm/models/config_mamba.py b/torch-ext/mamba_ssm/models/config_mamba.py new file mode 100644 index 0000000000000000000000000000000000000000..646c9e1e8ac94b2e82974cc0d5dab83fcfea900c --- /dev/null +++ b/torch-ext/mamba_ssm/models/config_mamba.py @@ -0,0 +1,18 @@ +from dataclasses import dataclass, field + + +@dataclass +class MambaConfig: + + d_model: int = 2560 + d_intermediate: int = 0 + n_layer: int = 64 + vocab_size: int = 50277 + ssm_cfg: dict = field(default_factory=dict) + attn_layer_idx: list = field(default_factory=list) + attn_cfg: dict = field(default_factory=dict) + rms_norm: bool = True + residual_in_fp32: bool = True + fused_add_norm: bool = True + pad_vocab_size_multiple: int = 8 + tie_embeddings: bool = True diff --git a/torch-ext/mamba_ssm/models/mixer_seq_simple.py b/torch-ext/mamba_ssm/models/mixer_seq_simple.py new file mode 100644 index 0000000000000000000000000000000000000000..56e2c6392b3cb810be437eb65bcfcf8ef3762020 --- /dev/null +++ b/torch-ext/mamba_ssm/models/mixer_seq_simple.py @@ -0,0 +1,338 @@ +# Copyright (c) 2023, Albert Gu, Tri Dao. + +import math +from functools import partial +import json +import os +import copy + +from collections import namedtuple + +import torch +import torch.nn as nn + +from .config_mamba import MambaConfig +from ..modules.mamba_simple import Mamba +from ..modules.mamba2 import Mamba2 +from ..modules.mha import MHA +from ..modules.mlp import GatedMLP +from ..modules.block import Block +from ..utils.generation import GenerationMixin +from ..utils.hf import load_config_hf, load_state_dict_hf + +try: + from ..ops.triton.layer_norm import RMSNorm, layer_norm_fn, rms_norm_fn +except ImportError: + RMSNorm, layer_norm_fn, rms_norm_fn = None, None, None + + +def create_block( + d_model, + d_intermediate, + ssm_cfg=None, + attn_layer_idx=None, + attn_cfg=None, + norm_epsilon=1e-5, + rms_norm=False, + residual_in_fp32=False, + fused_add_norm=False, + layer_idx=None, + device=None, + dtype=None, +): + if ssm_cfg is None: + ssm_cfg = {} + if attn_layer_idx is None: + attn_layer_idx = [] + if attn_cfg is None: + attn_cfg = {} + factory_kwargs = {"device": device, "dtype": dtype} + if layer_idx not in attn_layer_idx: + # Create a copy of the config to modify + ssm_cfg = copy.deepcopy(ssm_cfg) if ssm_cfg is not None else {} + ssm_layer = ssm_cfg.pop("layer", "Mamba1") + if ssm_layer not in ["Mamba1", "Mamba2"]: + raise ValueError( + f"Invalid ssm_layer: {ssm_layer}, only support Mamba1 and Mamba2" + ) + mixer_cls = partial( + Mamba2 if ssm_layer == "Mamba2" else Mamba, + layer_idx=layer_idx, + **ssm_cfg, + **factory_kwargs, + ) + else: + mixer_cls = partial(MHA, layer_idx=layer_idx, **attn_cfg, **factory_kwargs) + norm_cls = partial( + nn.LayerNorm if not rms_norm else RMSNorm, eps=norm_epsilon, **factory_kwargs + ) + if d_intermediate == 0: + mlp_cls = nn.Identity + else: + mlp_cls = partial( + GatedMLP, + hidden_features=d_intermediate, + out_features=d_model, + **factory_kwargs, + ) + block = Block( + d_model, + mixer_cls, + mlp_cls, + norm_cls=norm_cls, + fused_add_norm=fused_add_norm, + residual_in_fp32=residual_in_fp32, + ) + block.layer_idx = layer_idx + return block + + +# https://github.com/huggingface/transformers/blob/c28d04e9e252a1a099944e325685f14d242ecdcd/src/transformers/models/gpt2/modeling_gpt2.py#L454 +def _init_weights( + module, + n_layer, + initializer_range=0.02, # Now only used for embedding layer. + rescale_prenorm_residual=True, + n_residuals_per_layer=1, # Change to 2 if we have MLP +): + if isinstance(module, nn.Linear): + if module.bias is not None: + if not getattr(module.bias, "_no_reinit", False): + nn.init.zeros_(module.bias) + elif isinstance(module, nn.Embedding): + nn.init.normal_(module.weight, std=initializer_range) + + if rescale_prenorm_residual: + # Reinitialize selected weights subject to the OpenAI GPT-2 Paper Scheme: + # > A modified initialization which accounts for the accumulation on the residual path with model depth. Scale + # > the weights of residual layers at initialization by a factor of 1/√N where N is the # of residual layers. + # > -- GPT-2 :: https://openai.com/blog/better-language-models/ + # + # Reference (Megatron-LM): https://github.com/NVIDIA/Megatron-LM/blob/main/megatron/model/gpt_model.py + for name, p in module.named_parameters(): + if name in ["out_proj.weight", "fc2.weight"]: + # Special Scaled Initialization --> There are 2 Layer Norms per Transformer Block + # Following Pytorch init, except scale by 1/sqrt(2 * n_layer) + # We need to reinit p since this code could be called multiple times + # Having just p *= scale would repeatedly scale it down + nn.init.kaiming_uniform_(p, a=math.sqrt(5)) + with torch.no_grad(): + p /= math.sqrt(n_residuals_per_layer * n_layer) + + +class MixerModel(nn.Module): + def __init__( + self, + d_model: int, + n_layer: int, + d_intermediate: int, + vocab_size: int, + ssm_cfg=None, + attn_layer_idx=None, + attn_cfg=None, + norm_epsilon: float = 1e-5, + rms_norm: bool = False, + initializer_cfg=None, + fused_add_norm=False, + residual_in_fp32=False, + device=None, + dtype=None, + ) -> None: + factory_kwargs = {"device": device, "dtype": dtype} + super().__init__() + self.residual_in_fp32 = residual_in_fp32 + + self.embedding = nn.Embedding(vocab_size, d_model, **factory_kwargs) + + # We change the order of residual and layer norm: + # Instead of LN -> Attn / MLP -> Add, we do: + # Add -> LN -> Attn / MLP / Mixer, returning both the residual branch (output of Add) and + # the main branch (output of MLP / Mixer). The model definition is unchanged. + # This is for performance reason: we can fuse add + layer_norm. + self.fused_add_norm = fused_add_norm + if self.fused_add_norm: + if layer_norm_fn is None or rms_norm_fn is None: + raise ImportError("Failed to import Triton LayerNorm / RMSNorm kernels") + + self.layers = nn.ModuleList( + [ + create_block( + d_model, + d_intermediate=d_intermediate, + ssm_cfg=ssm_cfg, + attn_layer_idx=attn_layer_idx, + attn_cfg=attn_cfg, + norm_epsilon=norm_epsilon, + rms_norm=rms_norm, + residual_in_fp32=residual_in_fp32, + fused_add_norm=fused_add_norm, + layer_idx=i, + **factory_kwargs, + ) + for i in range(n_layer) + ] + ) + + self.norm_f = (nn.LayerNorm if not rms_norm else RMSNorm)( + d_model, eps=norm_epsilon, **factory_kwargs + ) + + self.apply( + partial( + _init_weights, + n_layer=n_layer, + **(initializer_cfg if initializer_cfg is not None else {}), + n_residuals_per_layer=( + 1 if d_intermediate == 0 else 2 + ), # 2 if we have MLP + ) + ) + + def allocate_inference_cache(self, batch_size, max_seqlen, dtype=None, **kwargs): + return { + i: layer.allocate_inference_cache( + batch_size, max_seqlen, dtype=dtype, **kwargs + ) + for i, layer in enumerate(self.layers) + } + + def forward(self, input_ids, inference_params=None, **mixer_kwargs): + hidden_states = self.embedding(input_ids) + residual = None + for layer in self.layers: + hidden_states, residual = layer( + hidden_states, + residual, + inference_params=inference_params, + **mixer_kwargs, + ) + if not self.fused_add_norm: + residual = ( + (hidden_states + residual) if residual is not None else hidden_states + ) + hidden_states = self.norm_f(residual.to(dtype=self.norm_f.weight.dtype)) + else: + # Set prenorm=False here since we don't need the residual + hidden_states = layer_norm_fn( + hidden_states, + self.norm_f.weight, + self.norm_f.bias, + eps=self.norm_f.eps, + residual=residual, + prenorm=False, + residual_in_fp32=self.residual_in_fp32, + is_rms_norm=isinstance(self.norm_f, RMSNorm), + ) + return hidden_states + + +class MambaLMHeadModel(nn.Module, GenerationMixin): + + def __init__( + self, + config: MambaConfig, + initializer_cfg=None, + device=None, + dtype=None, + ) -> None: + self.config = config + d_model = config.d_model + n_layer = config.n_layer + d_intermediate = config.d_intermediate + vocab_size = config.vocab_size + ssm_cfg = config.ssm_cfg + attn_layer_idx = config.attn_layer_idx + attn_cfg = config.attn_cfg + rms_norm = config.rms_norm + residual_in_fp32 = config.residual_in_fp32 + fused_add_norm = config.fused_add_norm + pad_vocab_size_multiple = config.pad_vocab_size_multiple + factory_kwargs = {"device": device, "dtype": dtype} + + super().__init__() + if vocab_size % pad_vocab_size_multiple != 0: + vocab_size += pad_vocab_size_multiple - ( + vocab_size % pad_vocab_size_multiple + ) + self.backbone = MixerModel( + d_model=d_model, + n_layer=n_layer, + d_intermediate=d_intermediate, + vocab_size=vocab_size, + ssm_cfg=ssm_cfg, + attn_layer_idx=attn_layer_idx, + attn_cfg=attn_cfg, + rms_norm=rms_norm, + initializer_cfg=initializer_cfg, + fused_add_norm=fused_add_norm, + residual_in_fp32=residual_in_fp32, + **factory_kwargs, + ) + self.lm_head = nn.Linear(d_model, vocab_size, bias=False, **factory_kwargs) + + # Initialize weights and apply final processing + self.apply( + partial( + _init_weights, + n_layer=n_layer, + **(initializer_cfg if initializer_cfg is not None else {}), + ) + ) + self.tie_weights() + + def tie_weights(self): + if self.config.tie_embeddings: + self.lm_head.weight = self.backbone.embedding.weight + + def allocate_inference_cache(self, batch_size, max_seqlen, dtype=None, **kwargs): + return self.backbone.allocate_inference_cache( + batch_size, max_seqlen, dtype=dtype, **kwargs + ) + + def forward( + self, + input_ids, + position_ids=None, + inference_params=None, + num_last_tokens=0, + **mixer_kwargs, + ): + """ + "position_ids" is just to be compatible with Transformer generation. We don't use it. + num_last_tokens: if > 0, only return the logits for the last n tokens + """ + hidden_states = self.backbone( + input_ids, inference_params=inference_params, **mixer_kwargs + ) + if num_last_tokens > 0: + hidden_states = hidden_states[:, -num_last_tokens:] + lm_logits = self.lm_head(hidden_states) + CausalLMOutput = namedtuple("CausalLMOutput", ["logits"]) + return CausalLMOutput(logits=lm_logits) + + @classmethod + def from_pretrained(cls, pretrained_model_name, device=None, dtype=None, **kwargs): + config_data = load_config_hf(pretrained_model_name) + config = MambaConfig(**config_data) + model = cls(config, device=device, dtype=dtype, **kwargs) + model.load_state_dict( + load_state_dict_hf(pretrained_model_name, device=device, dtype=dtype) + ) + return model + + def save_pretrained(self, save_directory): + """ + Minimal implementation of save_pretrained for MambaLMHeadModel. + Save the model and its configuration file to a directory. + """ + # Ensure save_directory exists + os.makedirs(save_directory, exist_ok=True) + + # Save the model's state_dict + model_path = os.path.join(save_directory, "pytorch_model.bin") + torch.save(self.state_dict(), model_path) + + # Save the configuration of the model + config_path = os.path.join(save_directory, "config.json") + with open(config_path, "w") as f: + json.dump(self.config.__dict__, f, indent=4) diff --git a/torch-ext/mamba_ssm/modules/__init__.py b/torch-ext/mamba_ssm/modules/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/torch-ext/mamba_ssm/modules/block.py b/torch-ext/mamba_ssm/modules/block.py new file mode 100644 index 0000000000000000000000000000000000000000..29d9770c602c0c6d6c13fad724d1bd2686b4a399 --- /dev/null +++ b/torch-ext/mamba_ssm/modules/block.py @@ -0,0 +1,107 @@ +# Copyright (c) 2024, Tri Dao, Albert Gu. +from typing import Optional + +import torch +from torch import nn, Tensor + +from ..ops.triton.layer_norm import RMSNorm, layer_norm_fn + + +class Block(nn.Module): + def __init__( + self, + dim, + mixer_cls, + mlp_cls, + norm_cls=nn.LayerNorm, + fused_add_norm=False, + residual_in_fp32=False, + ): + """ + Simple block wrapping a mixer class with LayerNorm/RMSNorm and residual connection" + + This Block has a slightly different structure compared to a regular + prenorm Transformer block. + The standard block is: LN -> MHA/MLP -> Add. + [Ref: https://arxiv.org/abs/2002.04745] + Here we have: Add -> LN -> Mixer, returning both + the hidden_states (output of the mixer) and the residual. + This is purely for performance reasons, as we can fuse add and LayerNorm. + The residual needs to be provided (except for the very first block). + """ + super().__init__() + self.residual_in_fp32 = residual_in_fp32 + self.fused_add_norm = fused_add_norm + self.norm = norm_cls(dim) + self.mixer = mixer_cls(dim) + if mlp_cls is not nn.Identity: + self.norm2 = norm_cls(dim) + self.mlp = mlp_cls(dim) + else: + self.mlp = None + if self.fused_add_norm: + assert RMSNorm is not None, "RMSNorm import fails" + assert isinstance( + self.norm, (nn.LayerNorm, RMSNorm) + ), "Only LayerNorm and RMSNorm are supported for fused_add_norm" + + def forward( + self, + hidden_states: Tensor, + residual: Optional[Tensor] = None, + inference_params=None, + **mixer_kwargs + ): + r"""Pass the input through the encoder layer. + + Args: + hidden_states: the sequence to the encoder layer (required). + residual: hidden_states = Mixer(LN(residual)) + """ + if not self.fused_add_norm: + residual = ( + (hidden_states + residual) if residual is not None else hidden_states + ) + hidden_states = self.norm(residual.to(dtype=self.norm.weight.dtype)) + if self.residual_in_fp32: + residual = residual.to(torch.float32) + else: + hidden_states, residual = layer_norm_fn( + hidden_states, + self.norm.weight, + self.norm.bias, + residual=residual, + prenorm=True, + residual_in_fp32=self.residual_in_fp32, + eps=self.norm.eps, + is_rms_norm=isinstance(self.norm, RMSNorm), + ) + hidden_states = self.mixer( + hidden_states, inference_params=inference_params, **mixer_kwargs + ) + + if self.mlp is not None: + if not self.fused_add_norm: + residual = hidden_states + residual + hidden_states = self.norm2(residual.to(dtype=self.norm2.weight.dtype)) + if self.residual_in_fp32: + residual = residual.to(torch.float32) + else: + hidden_states, residual = layer_norm_fn( + hidden_states, + self.norm2.weight, + self.norm2.bias, + residual=residual, + prenorm=True, + residual_in_fp32=self.residual_in_fp32, + eps=self.norm2.eps, + is_rms_norm=isinstance(self.norm2, RMSNorm), + ) + hidden_states = self.mlp(hidden_states) + + return hidden_states, residual + + def allocate_inference_cache(self, batch_size, max_seqlen, dtype=None, **kwargs): + return self.mixer.allocate_inference_cache( + batch_size, max_seqlen, dtype=dtype, **kwargs + ) diff --git a/torch-ext/mamba_ssm/modules/mamba2.py b/torch-ext/mamba_ssm/modules/mamba2.py new file mode 100644 index 0000000000000000000000000000000000000000..9bdb84cb09977bb1b78fb3853da42b21bef70b1e --- /dev/null +++ b/torch-ext/mamba_ssm/modules/mamba2.py @@ -0,0 +1,502 @@ +# Copyright (c) 2024, Tri Dao, Albert Gu. + +import math + +import torch +import torch.nn as nn +import torch.nn.functional as F + +from einops import rearrange, repeat + +try: + from causal_conv1d import causal_conv1d_fn, causal_conv1d_update +except ImportError: + causal_conv1d_fn, causal_conv1d_update = None, None + +try: + from causal_conv1d.causal_conv1d_varlen import causal_conv1d_varlen_states +except ImportError: + causal_conv1d_varlen_states = None + +try: + from ..ops.triton.selective_state_update import selective_state_update +except ImportError: + selective_state_update = None + +from ..ops.triton.layernorm_gated import RMSNorm as RMSNormGated + +from ..distributed.tensor_parallel import ColumnParallelLinear, RowParallelLinear +from ..distributed.distributed_utils import all_reduce, reduce_scatter + +from ..ops.triton.ssd_combined import mamba_chunk_scan_combined +from ..ops.triton.ssd_combined import mamba_split_conv1d_scan_combined + +from huggingface_hub import PyTorchModelHubMixin + + +class Mamba2(nn.Module, PyTorchModelHubMixin): + def __init__( + self, + d_model, + d_state=128, + d_conv=4, + conv_init=None, + expand=2, + headdim=64, + d_ssm=None, # If not None, we only apply SSM on this many dimensions, the rest uses gated MLP + ngroups=1, + A_init_range=(1, 16), + D_has_hdim=False, + rmsnorm=True, + norm_before_gate=False, + dt_min=0.001, + dt_max=0.1, + dt_init_floor=1e-4, + dt_limit=(0.0, float("inf")), + bias=False, + conv_bias=True, + # Fused kernel and sharding options + chunk_size=256, + use_mem_eff_path=True, + layer_idx=None, # Absorb kwarg for general module + process_group=None, + sequence_parallel=True, + device=None, + dtype=None, + ): + factory_kwargs = {"device": device, "dtype": dtype} + super().__init__() + self.d_model = d_model + self.d_state = d_state + self.d_conv = d_conv + self.conv_init = conv_init + self.expand = expand + self.process_group = process_group + self.sequence_parallel = sequence_parallel + self.world_size = 1 if process_group is None else process_group.size() + self.local_rank = 0 if process_group is None else process_group.rank() + self.d_inner = (self.expand * self.d_model) // self.world_size + assert self.d_inner * self.world_size == self.expand * self.d_model + self.headdim = headdim + self.d_ssm = self.d_inner if d_ssm is None else d_ssm // self.world_size + assert ngroups % self.world_size == 0 + self.ngroups = ngroups // self.world_size + assert self.d_ssm % self.headdim == 0 + self.nheads = self.d_ssm // self.headdim + self.D_has_hdim = D_has_hdim + self.rmsnorm = rmsnorm + self.norm_before_gate = norm_before_gate + self.dt_limit = dt_limit + self.activation = "silu" + self.chunk_size = chunk_size + self.use_mem_eff_path = use_mem_eff_path + self.layer_idx = layer_idx + + # Order: [z, x, B, C, dt] + d_in_proj = 2 * self.d_inner + 2 * self.ngroups * self.d_state + self.nheads + if self.process_group is None: + self.in_proj = nn.Linear( + self.d_model, d_in_proj, bias=bias, **factory_kwargs + ) + else: + self.in_proj = ColumnParallelLinear( + self.d_model, + d_in_proj * self.world_size, + bias=bias, + process_group=self.process_group, + sequence_parallel=self.sequence_parallel, + **factory_kwargs, + ) + + conv_dim = self.d_ssm + 2 * self.ngroups * self.d_state + self.conv1d = nn.Conv1d( + in_channels=conv_dim, + out_channels=conv_dim, + bias=conv_bias, + kernel_size=d_conv, + groups=conv_dim, + padding=d_conv - 1, + **factory_kwargs, + ) + if self.conv_init is not None: + nn.init.uniform_(self.conv1d.weight, -self.conv_init, self.conv_init) + + self.act = nn.SiLU() + + # Initialize log dt bias + dt = torch.exp( + torch.rand(self.nheads, **factory_kwargs) + * (math.log(dt_max) - math.log(dt_min)) + + math.log(dt_min) + ) + dt = torch.clamp(dt, min=dt_init_floor) + # Inverse of softplus: https://github.com/pytorch/pytorch/issues/72759 + inv_dt = dt + torch.log(-torch.expm1(-dt)) + self.dt_bias = nn.Parameter(inv_dt) + # Just to be explicit. Without this we already don't put wd on dt_bias because of the check + # name.endswith("bias") in param_grouping.py + self.dt_bias._no_weight_decay = True + + assert A_init_range[0] > 0 and A_init_range[1] >= A_init_range[0] + A = torch.empty(self.nheads, dtype=torch.float32, device=device).uniform_( + *A_init_range + ) + A_log = torch.log(A).to(dtype=dtype) + self.A_log = nn.Parameter(A_log) + self.A_log._no_weight_decay = True + + # D "skip" parameter + self.D = nn.Parameter( + torch.ones(self.d_ssm if self.D_has_hdim else self.nheads, device=device) + ) + self.D._no_weight_decay = True + + if self.rmsnorm: + assert RMSNormGated is not None + self.norm = RMSNormGated( + self.d_ssm, + eps=1e-5, + norm_before_gate=self.norm_before_gate, + group_size=self.d_ssm // ngroups, + **factory_kwargs, + ) + + if self.process_group is None: + self.out_proj = nn.Linear( + self.d_inner, self.d_model, bias=bias, **factory_kwargs + ) + else: + self.out_proj = RowParallelLinear( + self.d_inner * self.world_size, + self.d_model, + bias=bias, + process_group=self.process_group, + sequence_parallel=self.sequence_parallel, + **factory_kwargs, + ) + + def forward( + self, u, seqlen=None, seq_idx=None, cu_seqlens=None, inference_params=None + ): + """ + u: (batch, seqlen, hidden_dim) if seqlen=None. + If seqlen is not None, u is (batch * seqlen, hidden_dim). This is so that when we + split u during sequence parallel, we split the batch * seqlen dimension + (in case batch is small). + Returns: same shape as u + """ + seqlen_og = seqlen + if seqlen is None: + batch, seqlen, dim = u.shape + else: + batch_seqlen, dim = u.shape + batch = batch_seqlen // seqlen + + conv_state, ssm_state = None, None + if inference_params is not None: + inference_batch = ( + cu_seqlens.shape[0] - 1 if cu_seqlens is not None else batch + ) + conv_state, ssm_state = self._get_states_from_cache( + inference_params, inference_batch + ) + if inference_params.seqlen_offset > 0: + # The states are updated inplace + out, _, _ = self.step(u, conv_state, ssm_state) + return out + + zxbcdt = self.in_proj(u) # (B, L, d_in_proj) or (B * L, d_in_proj) + if seqlen_og is not None: + zxbcdt = rearrange(zxbcdt, "(b l) d -> b l d", l=seqlen) + # If the model is loaded in fp16, without the .float() here, A might be -inf + A = -torch.exp(self.A_log.float()) # (nheads) or (d_inner, d_state) + dt_limit_kwargs = ( + {} if self.dt_limit == (0.0, float("inf")) else dict(dt_limit=self.dt_limit) + ) + if self.use_mem_eff_path and inference_params is None: + out = mamba_split_conv1d_scan_combined( + zxbcdt, + rearrange(self.conv1d.weight, "d 1 w -> d w"), + self.conv1d.bias, + self.dt_bias, + A, + D=( + rearrange(self.D, "(h p) -> h p", p=self.headdim) + if self.D_has_hdim + else self.D + ), + chunk_size=self.chunk_size, + seq_idx=seq_idx, + activation=self.activation, + rmsnorm_weight=self.norm.weight if self.rmsnorm else None, + rmsnorm_eps=self.norm.eps if self.rmsnorm else 1e-6, + outproj_weight=self.out_proj.weight, + outproj_bias=self.out_proj.bias, + headdim=None if self.D_has_hdim else self.headdim, + ngroups=self.ngroups, + norm_before_gate=self.norm_before_gate, + **dt_limit_kwargs, + ) + if seqlen_og is not None: + out = rearrange(out, "b l d -> (b l) d") + if self.process_group is not None: + reduce_fn = reduce_scatter if self.sequence_parallel else all_reduce + out = reduce_fn(out, self.process_group) + else: + d_mlp = ( + zxbcdt.shape[-1] + - 2 * self.d_ssm + - 2 * self.ngroups * self.d_state + - self.nheads + ) // 2 + z0, x0, z, xBC, dt = torch.split( + zxbcdt, + [ + d_mlp, + d_mlp, + self.d_ssm, + self.d_ssm + 2 * self.ngroups * self.d_state, + self.nheads, + ], + dim=-1, + ) + if conv_state is not None: + if cu_seqlens is None: + # If we just take xBC[:, :, -self.d_conv :], it will error if seqlen < self.d_conv + # Instead F.pad will pad with zeros if seqlen < self.d_conv, and truncate otherwise. + xBC_t = rearrange(xBC, "b l d -> b d l") + conv_state.copy_( + F.pad(xBC_t, (self.d_conv - xBC_t.shape[-1], 0)) + ) # Update state (B D W) + else: + assert ( + causal_conv1d_varlen_states is not None + ), "varlen inference requires causal_conv1d package" + assert ( + batch == 1 + ), "varlen inference only supports batch dimension 1" + conv_varlen_states = causal_conv1d_varlen_states( + xBC.squeeze(0), cu_seqlens, state_len=conv_state.shape[-1] + ) + conv_state.copy_(conv_varlen_states) + assert self.activation in ["silu", "swish"] + if causal_conv1d_fn is None or self.activation not in ["silu", "swish"]: + assert ( + seq_idx is None + ), "varlen conv1d requires the causal_conv1d package" + xBC = self.act( + self.conv1d(xBC.transpose(1, 2)).transpose(1, 2)[ + :, : -(self.d_conv - 1) + ] + ) # (B, L, self.d_ssm + 2 * ngroups * d_state) + else: + xBC = causal_conv1d_fn( + xBC.transpose(1, 2), + rearrange(self.conv1d.weight, "d 1 w -> d w"), + bias=self.conv1d.bias, + activation=self.activation, + seq_idx=seq_idx, + ).transpose(1, 2) + x, B, C = torch.split( + xBC, + [self.d_ssm, self.ngroups * self.d_state, self.ngroups * self.d_state], + dim=-1, + ) + y = mamba_chunk_scan_combined( + rearrange(x, "b l (h p) -> b l h p", p=self.headdim), + dt, + A, + rearrange(B, "b l (g n) -> b l g n", g=self.ngroups), + rearrange(C, "b l (g n) -> b l g n", g=self.ngroups), + chunk_size=self.chunk_size, + D=( + rearrange(self.D, "(h p) -> h p", p=self.headdim) + if self.D_has_hdim + else self.D + ), + z=( + rearrange(z, "b l (h p) -> b l h p", p=self.headdim) + if not self.rmsnorm + else None + ), + dt_bias=self.dt_bias, + dt_softplus=True, + seq_idx=seq_idx, + cu_seqlens=cu_seqlens, + **dt_limit_kwargs, + return_final_states=ssm_state is not None, + return_varlen_states=cu_seqlens is not None + and inference_params is not None, + ) + if ssm_state is not None: + y, last_state, *rest = y + if cu_seqlens is None: + ssm_state.copy_(last_state) + else: + varlen_states = rest[0] + ssm_state.copy_(varlen_states) + y = rearrange(y, "b l h p -> b l (h p)") + if self.rmsnorm: + y = self.norm(y, z) + if d_mlp > 0: + y = torch.cat([F.silu(z0) * x0, y], dim=-1) + if seqlen_og is not None: + y = rearrange(y, "b l d -> (b l) d") + out = self.out_proj(y) + return out + + def step(self, hidden_states, conv_state, ssm_state): + dtype = hidden_states.dtype + assert ( + hidden_states.shape[1] == 1 + ), "Only support decoding with 1 token at a time for now" + zxbcdt = self.in_proj(hidden_states.squeeze(1)) # (B 2D) + d_mlp = ( + zxbcdt.shape[-1] + - 2 * self.d_ssm + - 2 * self.ngroups * self.d_state + - self.nheads + ) // 2 + z0, x0, z, xBC, dt = torch.split( + zxbcdt, + [ + d_mlp, + d_mlp, + self.d_ssm, + self.d_ssm + 2 * self.ngroups * self.d_state, + self.nheads, + ], + dim=-1, + ) + + # Conv step + if causal_conv1d_update is None: + conv_state.copy_( + torch.roll(conv_state, shifts=-1, dims=-1) + ) # Update state (B D W) + conv_state[:, :, -1] = xBC + xBC = torch.sum( + conv_state * rearrange(self.conv1d.weight, "d 1 w -> d w"), dim=-1 + ) # (B D) + if self.conv1d.bias is not None: + xBC = xBC + self.conv1d.bias + xBC = self.act(xBC).to(dtype=dtype) + else: + xBC = causal_conv1d_update( + xBC, + conv_state, + rearrange(self.conv1d.weight, "d 1 w -> d w"), + self.conv1d.bias, + self.activation, + ) + + x, B, C = torch.split( + xBC, + [self.d_ssm, self.ngroups * self.d_state, self.ngroups * self.d_state], + dim=-1, + ) + A = -torch.exp(self.A_log.float()) # (nheads,) + + # SSM step + if selective_state_update is None: + assert ( + self.ngroups == 1 + ), "Only support ngroups=1 for this inference code path" + # Discretize A and B + dt = F.softplus(dt + self.dt_bias.to(dtype=dt.dtype)) # (batch, nheads) + dA = torch.exp(dt * A) # (batch, nheads) + x = rearrange(x, "b (h p) -> b h p", p=self.headdim) + dBx = torch.einsum("bh,bn,bhp->bhpn", dt, B, x) + ssm_state.copy_(ssm_state * rearrange(dA, "b h -> b h 1 1") + dBx) + y = torch.einsum("bhpn,bn->bhp", ssm_state.to(dtype), C) + y = y + rearrange(self.D.to(dtype), "h -> h 1") * x + y = rearrange(y, "b h p -> b (h p)") + if not self.rmsnorm: + y = y * self.act(z) # (B D) + else: + A = repeat(A, "h -> h p n", p=self.headdim, n=self.d_state).to( + dtype=torch.float32 + ) + dt = repeat(dt, "b h -> b h p", p=self.headdim) + dt_bias = repeat(self.dt_bias, "h -> h p", p=self.headdim) + D = repeat(self.D, "h -> h p", p=self.headdim) + B = rearrange(B, "b (g n) -> b g n", g=self.ngroups) + C = rearrange(C, "b (g n) -> b g n", g=self.ngroups) + x_reshaped = rearrange(x, "b (h p) -> b h p", p=self.headdim) + if not self.rmsnorm: + z = rearrange(z, "b (h p) -> b h p", p=self.headdim) + y = selective_state_update( + ssm_state, + x_reshaped, + dt, + A, + B, + C, + D, + z=z if not self.rmsnorm else None, + dt_bias=dt_bias, + dt_softplus=True, + ) + y = rearrange(y, "b h p -> b (h p)") + if self.rmsnorm: + y = self.norm(y, z) + if d_mlp > 0: + y = torch.cat([F.silu(z0) * x0, y], dim=-1) + out = self.out_proj(y) + return out.unsqueeze(1), conv_state, ssm_state + + def allocate_inference_cache(self, batch_size, max_seqlen, dtype=None, **kwargs): + device = self.out_proj.weight.device + conv_dtype = self.conv1d.weight.dtype if dtype is None else dtype + conv_state = torch.zeros( + batch_size, + self.d_conv, + self.conv1d.weight.shape[0], + device=device, + dtype=conv_dtype, + ).transpose(1, 2) + ssm_dtype = self.in_proj.weight.dtype if dtype is None else dtype + ssm_state = torch.zeros( + batch_size, + self.nheads, + self.headdim, + self.d_state, + device=device, + dtype=ssm_dtype, + ) + return conv_state, ssm_state + + def _get_states_from_cache( + self, inference_params, batch_size, initialize_states=False + ): + assert self.layer_idx is not None + if self.layer_idx not in inference_params.key_value_memory_dict: + batch_shape = (batch_size,) + conv_state = torch.zeros( + batch_size, + self.d_conv, + self.conv1d.weight.shape[0], + device=self.conv1d.weight.device, + dtype=self.conv1d.weight.dtype, + ).transpose(1, 2) + ssm_state = torch.zeros( + batch_size, + self.nheads, + self.headdim, + self.d_state, + device=self.in_proj.weight.device, + dtype=self.in_proj.weight.dtype, + ) + inference_params.key_value_memory_dict[self.layer_idx] = ( + conv_state, + ssm_state, + ) + else: + conv_state, ssm_state = inference_params.key_value_memory_dict[ + self.layer_idx + ] + # TODO: What if batch size changes between generation, and we reuse the same states? + if initialize_states: + conv_state.zero_() + ssm_state.zero_() + return conv_state, ssm_state diff --git a/torch-ext/mamba_ssm/modules/mamba2_simple.py b/torch-ext/mamba_ssm/modules/mamba2_simple.py new file mode 100644 index 0000000000000000000000000000000000000000..b02f394ffd0a7929645e2db137e66ba78fa37431 --- /dev/null +++ b/torch-ext/mamba_ssm/modules/mamba2_simple.py @@ -0,0 +1,229 @@ +# Copyright (c) 2024, Tri Dao, Albert Gu. + +import math +import torch +import torch.nn as nn +import torch.nn.functional as F + +from einops import rearrange, repeat + +try: + from causal_conv1d import causal_conv1d_fn +except ImportError: + causal_conv1d_fn = None + +try: + from ..ops.triton.layernorm_gated import RMSNorm as RMSNormGated, LayerNorm +except ImportError: + RMSNormGated, LayerNorm = None, None + +from ..ops.triton.ssd_combined import mamba_chunk_scan_combined +from ..ops.triton.ssd_combined import mamba_split_conv1d_scan_combined + + +class Mamba2Simple(nn.Module): + def __init__( + self, + d_model, + d_state=64, + d_conv=4, + conv_init=None, + expand=2, + headdim=128, + ngroups=1, + A_init_range=(1, 16), + dt_min=0.001, + dt_max=0.1, + dt_init_floor=1e-4, + dt_limit=(0.0, float("inf")), + learnable_init_states=False, + activation="swish", + bias=False, + conv_bias=True, + # Fused kernel and sharding options + chunk_size=256, + use_mem_eff_path=True, + layer_idx=None, # Absorb kwarg for general module + device=None, + dtype=None, + ): + factory_kwargs = {"device": device, "dtype": dtype} + super().__init__() + self.d_model = d_model + self.d_state = d_state + self.d_conv = d_conv + self.conv_init = conv_init + self.expand = expand + self.d_inner = self.expand * self.d_model + self.headdim = headdim + self.ngroups = ngroups + assert self.d_inner % self.headdim == 0 + self.nheads = self.d_inner // self.headdim + self.dt_limit = dt_limit + self.learnable_init_states = learnable_init_states + self.activation = activation + self.chunk_size = chunk_size + self.use_mem_eff_path = use_mem_eff_path + self.layer_idx = layer_idx + + # Order: [z, x, B, C, dt] + d_in_proj = 2 * self.d_inner + 2 * self.ngroups * self.d_state + self.nheads + self.in_proj = nn.Linear(self.d_model, d_in_proj, bias=bias, **factory_kwargs) + + conv_dim = self.d_inner + 2 * self.ngroups * self.d_state + self.conv1d = nn.Conv1d( + in_channels=conv_dim, + out_channels=conv_dim, + bias=conv_bias, + kernel_size=d_conv, + groups=conv_dim, + padding=d_conv - 1, + **factory_kwargs, + ) + if self.conv_init is not None: + nn.init.uniform_(self.conv1d.weight, -self.conv_init, self.conv_init) + # self.conv1d.weight._no_weight_decay = True + + if self.learnable_init_states: + self.init_states = nn.Parameter( + torch.zeros(self.nheads, self.headdim, self.d_state, **factory_kwargs) + ) + self.init_states._no_weight_decay = True + + self.act = nn.SiLU() + + # Initialize log dt bias + dt = torch.exp( + torch.rand(self.nheads, **factory_kwargs) + * (math.log(dt_max) - math.log(dt_min)) + + math.log(dt_min) + ) + dt = torch.clamp(dt, min=dt_init_floor) + # Inverse of softplus: https://github.com/pytorch/pytorch/issues/72759 + inv_dt = dt + torch.log(-torch.expm1(-dt)) + self.dt_bias = nn.Parameter(inv_dt) + # Just to be explicit. Without this we already don't put wd on dt_bias because of the check + # name.endswith("bias") in param_grouping.py + self.dt_bias._no_weight_decay = True + + # A parameter + assert A_init_range[0] > 0 and A_init_range[1] >= A_init_range[0] + A = torch.empty(self.nheads, dtype=torch.float32, device=device).uniform_( + *A_init_range + ) + A_log = torch.log(A).to(dtype=dtype) + self.A_log = nn.Parameter(A_log) + # self.register_buffer("A_log", torch.zeros(self.nheads, dtype=torch.float32, device=device), persistent=True) + self.A_log._no_weight_decay = True + + # D "skip" parameter + self.D = nn.Parameter(torch.ones(self.nheads, device=device)) + self.D._no_weight_decay = True + + # Extra normalization layer right before output projection + assert RMSNormGated is not None + self.norm = RMSNormGated( + self.d_inner, eps=1e-5, norm_before_gate=False, **factory_kwargs + ) + + self.out_proj = nn.Linear( + self.d_inner, self.d_model, bias=bias, **factory_kwargs + ) + + def forward(self, u, seq_idx=None): + """ + u: (B, L, D) + Returns: same shape as u + """ + batch, seqlen, dim = u.shape + + zxbcdt = self.in_proj(u) # (B, L, d_in_proj) + A = -torch.exp(self.A_log) # (nheads) or (d_inner, d_state) + initial_states = ( + repeat(self.init_states, "... -> b ...", b=batch) + if self.learnable_init_states + else None + ) + dt_limit_kwargs = ( + {} if self.dt_limit == (0.0, float("inf")) else dict(dt_limit=self.dt_limit) + ) + + if self.use_mem_eff_path: + # Fully fused path + out = mamba_split_conv1d_scan_combined( + zxbcdt, + rearrange(self.conv1d.weight, "d 1 w -> d w"), + self.conv1d.bias, + self.dt_bias, + A, + D=self.D, + chunk_size=self.chunk_size, + seq_idx=seq_idx, + activation=self.activation, + rmsnorm_weight=self.norm.weight, + rmsnorm_eps=self.norm.eps, + outproj_weight=self.out_proj.weight, + outproj_bias=self.out_proj.bias, + headdim=self.headdim, + ngroups=self.ngroups, + norm_before_gate=False, + initial_states=initial_states, + **dt_limit_kwargs, + ) + else: + z, xBC, dt = torch.split( + zxbcdt, + [ + self.d_inner, + self.d_inner + 2 * self.ngroups * self.d_state, + self.nheads, + ], + dim=-1, + ) + dt = F.softplus(dt + self.dt_bias) # (B, L, nheads) + assert self.activation in ["silu", "swish"] + + # 1D Convolution + if causal_conv1d_fn is None or self.activation not in ["silu", "swish"]: + xBC = self.act( + self.conv1d(xBC.transpose(1, 2)).transpose(1, 2) + ) # (B, L, self.d_inner + 2 * ngroups * d_state) + xBC = xBC[:, :seqlen, :] + else: + xBC = causal_conv1d_fn( + x=xBC.transpose(1, 2), + weight=rearrange(self.conv1d.weight, "d 1 w -> d w"), + bias=self.conv1d.bias, + activation=self.activation, + ).transpose(1, 2) + + # Split into 3 main branches: X, B, C + # These correspond to V, K, Q respectively in the SSM/attention duality + x, B, C = torch.split( + xBC, + [ + self.d_inner, + self.ngroups * self.d_state, + self.ngroups * self.d_state, + ], + dim=-1, + ) + y = mamba_chunk_scan_combined( + rearrange(x, "b l (h p) -> b l h p", p=self.headdim), + dt, + A, + rearrange(B, "b l (g n) -> b l g n", g=self.ngroups), + rearrange(C, "b l (g n) -> b l g n", g=self.ngroups), + chunk_size=self.chunk_size, + D=self.D, + z=None, + seq_idx=seq_idx, + initial_states=initial_states, + **dt_limit_kwargs, + ) + y = rearrange(y, "b l h p -> b l (h p)") + + # Multiply "gate" branch and apply extra normalization layer + y = self.norm(y, z) + out = self.out_proj(y) + return out diff --git a/torch-ext/mamba_ssm/modules/mamba_simple.py b/torch-ext/mamba_ssm/modules/mamba_simple.py new file mode 100644 index 0000000000000000000000000000000000000000..6a383596d0f7695f6296ba5fc2314ffb264061d5 --- /dev/null +++ b/torch-ext/mamba_ssm/modules/mamba_simple.py @@ -0,0 +1,339 @@ +# Copyright (c) 2023, Tri Dao, Albert Gu. + +import math +from typing import Optional + +import torch +import torch.nn as nn +import torch.nn.functional as F +from torch import Tensor + +from einops import rearrange, repeat + +from ..ops.selective_scan_interface import selective_scan_fn, mamba_inner_fn + +try: + from causal_conv1d import causal_conv1d_fn, causal_conv1d_update +except ImportError: + causal_conv1d_fn, causal_conv1d_update = None, None + +try: + from ..ops.triton.selective_state_update import selective_state_update +except ImportError: + selective_state_update = None + +try: + from ..ops.triton.layer_norm import RMSNorm, layer_norm_fn, rms_norm_fn +except ImportError: + RMSNorm, layer_norm_fn, rms_norm_fn = None, None, None + + +class Mamba(nn.Module): + def __init__( + self, + d_model, + d_state=16, + d_conv=4, + expand=2, + dt_rank="auto", + dt_min=0.001, + dt_max=0.1, + dt_init="random", + dt_scale=1.0, + dt_init_floor=1e-4, + conv_bias=True, + bias=False, + use_fast_path=True, # Fused kernel options + layer_idx=None, + device=None, + dtype=None, + ): + factory_kwargs = {"device": device, "dtype": dtype} + super().__init__() + self.d_model = d_model + self.d_state = d_state + self.d_conv = d_conv + self.expand = expand + self.d_inner = int(self.expand * self.d_model) + self.dt_rank = math.ceil(self.d_model / 16) if dt_rank == "auto" else dt_rank + self.use_fast_path = use_fast_path + self.layer_idx = layer_idx + + self.in_proj = nn.Linear( + self.d_model, self.d_inner * 2, bias=bias, **factory_kwargs + ) + + self.conv1d = nn.Conv1d( + in_channels=self.d_inner, + out_channels=self.d_inner, + bias=conv_bias, + kernel_size=d_conv, + groups=self.d_inner, + padding=d_conv - 1, + **factory_kwargs, + ) + + self.activation = "silu" + self.act = nn.SiLU() + + self.x_proj = nn.Linear( + self.d_inner, self.dt_rank + self.d_state * 2, bias=False, **factory_kwargs + ) + self.dt_proj = nn.Linear( + self.dt_rank, self.d_inner, bias=True, **factory_kwargs + ) + + # Initialize special dt projection to preserve variance at initialization + dt_init_std = self.dt_rank**-0.5 * dt_scale + if dt_init == "constant": + nn.init.constant_(self.dt_proj.weight, dt_init_std) + elif dt_init == "random": + nn.init.uniform_(self.dt_proj.weight, -dt_init_std, dt_init_std) + else: + raise NotImplementedError + + # Initialize dt bias so that F.softplus(dt_bias) is between dt_min and dt_max + dt = torch.exp( + torch.rand(self.d_inner, **factory_kwargs) + * (math.log(dt_max) - math.log(dt_min)) + + math.log(dt_min) + ).clamp(min=dt_init_floor) + # Inverse of softplus: https://github.com/pytorch/pytorch/issues/72759 + inv_dt = dt + torch.log(-torch.expm1(-dt)) + with torch.no_grad(): + self.dt_proj.bias.copy_(inv_dt) + # Our initialization would set all Linear.bias to zero, need to mark this one as _no_reinit + self.dt_proj.bias._no_reinit = True + + # S4D real initialization + A = repeat( + torch.arange(1, self.d_state + 1, dtype=torch.float32, device=device), + "n -> d n", + d=self.d_inner, + ).contiguous() + A_log = torch.log(A) # Keep A_log in fp32 + self.A_log = nn.Parameter(A_log) + self.A_log._no_weight_decay = True + + # D "skip" parameter + self.D = nn.Parameter(torch.ones(self.d_inner, device=device)) # Keep in fp32 + self.D._no_weight_decay = True + + self.out_proj = nn.Linear( + self.d_inner, self.d_model, bias=bias, **factory_kwargs + ) + + def forward(self, hidden_states, inference_params=None): + """ + hidden_states: (B, L, D) + Returns: same shape as hidden_states + """ + batch, seqlen, dim = hidden_states.shape + + conv_state, ssm_state = None, None + if inference_params is not None: + conv_state, ssm_state = self._get_states_from_cache(inference_params, batch) + if inference_params.seqlen_offset > 0: + # The states are updated inplace + out, _, _ = self.step(hidden_states, conv_state, ssm_state) + return out + + # We do matmul and transpose BLH -> HBL at the same time + xz = rearrange( + self.in_proj.weight @ rearrange(hidden_states, "b l d -> d (b l)"), + "d (b l) -> b d l", + l=seqlen, + ) + if self.in_proj.bias is not None: + xz = xz + rearrange(self.in_proj.bias.to(dtype=xz.dtype), "d -> d 1") + + A = -torch.exp(self.A_log.float()) # (d_inner, d_state) + # In the backward pass we write dx and dz next to each other to avoid torch.cat + if ( + self.use_fast_path + and causal_conv1d_fn is not None + and inference_params is None + ): # Doesn't support outputting the states + out = mamba_inner_fn( + xz, + self.conv1d.weight, + self.conv1d.bias, + self.x_proj.weight, + self.dt_proj.weight, + self.out_proj.weight, + self.out_proj.bias, + A, + None, # input-dependent B + None, # input-dependent C + self.D.float(), + delta_bias=self.dt_proj.bias.float(), + delta_softplus=True, + ) + else: + x, z = xz.chunk(2, dim=1) + # Compute short convolution + if conv_state is not None: + # If we just take x[:, :, -self.d_conv :], it will error if seqlen < self.d_conv + # Instead F.pad will pad with zeros if seqlen < self.d_conv, and truncate otherwise. + conv_state.copy_( + F.pad(x, (self.d_conv - x.shape[-1], 0)) + ) # Update state (B D W) + if causal_conv1d_fn is None: + x = self.act(self.conv1d(x)[..., :seqlen]) + else: + assert self.activation in ["silu", "swish"] + x = causal_conv1d_fn( + x=x, + weight=rearrange(self.conv1d.weight, "d 1 w -> d w"), + bias=self.conv1d.bias, + activation=self.activation, + ) + + # We're careful here about the layout, to avoid extra transposes. + # We want dt to have d as the slowest moving dimension + # and L as the fastest moving dimension, since those are what the ssm_scan kernel expects. + x_dbl = self.x_proj(rearrange(x, "b d l -> (b l) d")) # (bl d) + dt, B, C = torch.split( + x_dbl, [self.dt_rank, self.d_state, self.d_state], dim=-1 + ) + dt = self.dt_proj.weight @ dt.t() + dt = rearrange(dt, "d (b l) -> b d l", l=seqlen) + B = rearrange(B, "(b l) dstate -> b dstate l", l=seqlen).contiguous() + C = rearrange(C, "(b l) dstate -> b dstate l", l=seqlen).contiguous() + assert self.activation in ["silu", "swish"] + y = selective_scan_fn( + x, + dt, + A, + B, + C, + self.D.float(), + z=z, + delta_bias=self.dt_proj.bias.float(), + delta_softplus=True, + return_last_state=ssm_state is not None, + ) + if ssm_state is not None: + y, last_state = y + ssm_state.copy_(last_state) + y = rearrange(y, "b d l -> b l d") + out = self.out_proj(y) + return out + + def step(self, hidden_states, conv_state, ssm_state): + dtype = hidden_states.dtype + assert ( + hidden_states.shape[1] == 1 + ), "Only support decoding with 1 token at a time for now" + xz = self.in_proj(hidden_states.squeeze(1)) # (B 2D) + x, z = xz.chunk(2, dim=-1) # (B D) + + # Conv step + if causal_conv1d_update is None: + conv_state.copy_( + torch.roll(conv_state, shifts=-1, dims=-1) + ) # Update state (B D W) + conv_state[:, :, -1] = x + x = torch.sum( + conv_state * rearrange(self.conv1d.weight, "d 1 w -> d w"), dim=-1 + ) # (B D) + if self.conv1d.bias is not None: + x = x + self.conv1d.bias + x = self.act(x).to(dtype=dtype) + else: + x = causal_conv1d_update( + x, + conv_state, + rearrange(self.conv1d.weight, "d 1 w -> d w"), + self.conv1d.bias, + self.activation, + ) + + x_db = self.x_proj(x) # (B dt_rank+2*d_state) + dt, B, C = torch.split(x_db, [self.dt_rank, self.d_state, self.d_state], dim=-1) + # Don't add dt_bias here + dt = F.linear(dt, self.dt_proj.weight) # (B d_inner) + A = -torch.exp(self.A_log.float()) # (d_inner, d_state) + + # SSM step + if selective_state_update is None: + # Discretize A and B + dt = F.softplus(dt + self.dt_proj.bias.to(dtype=dt.dtype)) + dA = torch.exp(torch.einsum("bd,dn->bdn", dt, A)) + dB = torch.einsum("bd,bn->bdn", dt, B) + ssm_state.copy_(ssm_state * dA + rearrange(x, "b d -> b d 1") * dB) + y = torch.einsum("bdn,bn->bd", ssm_state.to(dtype), C) + y = y + self.D.to(dtype) * x + y = y * self.act(z) # (B D) + else: + y = selective_state_update( + ssm_state, + x, + dt, + A, + B, + C, + self.D, + z=z, + dt_bias=self.dt_proj.bias, + dt_softplus=True, + ) + + out = self.out_proj(y) + return out.unsqueeze(1), conv_state, ssm_state + + def allocate_inference_cache(self, batch_size, max_seqlen, dtype=None, **kwargs): + device = self.out_proj.weight.device + conv_dtype = self.conv1d.weight.dtype if dtype is None else dtype + conv_state = torch.zeros( + batch_size, + self.d_model * self.expand, + self.d_conv, + device=device, + dtype=conv_dtype, + ) + ssm_dtype = self.dt_proj.weight.dtype if dtype is None else dtype + # ssm_dtype = torch.float32 + ssm_state = torch.zeros( + batch_size, + self.d_model * self.expand, + self.d_state, + device=device, + dtype=ssm_dtype, + ) + return conv_state, ssm_state + + def _get_states_from_cache( + self, inference_params, batch_size, initialize_states=False + ): + assert self.layer_idx is not None + if self.layer_idx not in inference_params.key_value_memory_dict: + batch_shape = (batch_size,) + conv_state = torch.zeros( + batch_size, + self.d_model * self.expand, + self.d_conv, + device=self.conv1d.weight.device, + dtype=self.conv1d.weight.dtype, + ) + ssm_state = torch.zeros( + batch_size, + self.d_model * self.expand, + self.d_state, + device=self.dt_proj.weight.device, + dtype=self.dt_proj.weight.dtype, + # dtype=torch.float32, + ) + inference_params.key_value_memory_dict[self.layer_idx] = ( + conv_state, + ssm_state, + ) + else: + conv_state, ssm_state = inference_params.key_value_memory_dict[ + self.layer_idx + ] + # TODO: What if batch size changes between generation, and we reuse the same states? + if initialize_states: + conv_state.zero_() + ssm_state.zero_() + return conv_state, ssm_state diff --git a/torch-ext/mamba_ssm/modules/mha.py b/torch-ext/mamba_ssm/modules/mha.py new file mode 100644 index 0000000000000000000000000000000000000000..978f3ea4d8f1c962303b5cb6d8388c2289c4f7db --- /dev/null +++ b/torch-ext/mamba_ssm/modules/mha.py @@ -0,0 +1,294 @@ +# Copyright (c) 2024, Tri Dao, Albert Gu. + +import math + +import torch +import torch.nn as nn +import torch.nn.functional as F +from einops import rearrange + +try: + from flash_attn import flash_attn_with_kvcache +except ImportError: + flash_attn_with_kvcache = None + +try: + from flash_attn.layers.rotary import RotaryEmbedding +except ImportError: + RotaryEmbedding = None + +try: + from causal_conv1d import causal_conv1d_fn, causal_conv1d_update +except ImportError: + causal_conv1d_fn, causal_conv1d_update = None, None + + +def _update_kv_cache(kv, inference_params, layer_idx): + """kv: (batch_size, seqlen, 2, nheads, head_dim) or (batch_size, 1, 2, nheads, head_dim)""" + # Pre-allocate memory for key-values for inference. + num_heads, head_dim = kv.shape[-2:] + assert layer_idx in inference_params.key_value_memory_dict + kv_cache, _ = inference_params.key_value_memory_dict[layer_idx] + # Adjust key and value for inference + batch_start = inference_params.batch_size_offset + batch_end = batch_start + kv.shape[0] + sequence_start = inference_params.seqlen_offset + sequence_end = sequence_start + kv.shape[1] + assert batch_end <= kv_cache.shape[0] + assert sequence_end <= kv_cache.shape[1] + assert kv_cache is not None + kv_cache[batch_start:batch_end, sequence_start:sequence_end, ...] = kv + return kv_cache[batch_start:batch_end, :sequence_end, ...] + + +class MHA(nn.Module): + """Multi-head self-attention and cross-attention""" + + def __init__( + self, + embed_dim, + num_heads, + num_heads_kv=None, + head_dim=None, # If None, use embed_dim // num_heads + mlp_dim=0, + qkv_proj_bias=True, + out_proj_bias=True, + softmax_scale=None, + causal=False, + layer_idx=None, + d_conv=0, + rotary_emb_dim=0, + rotary_emb_base=10000.0, + rotary_emb_interleaved=False, + device=None, + dtype=None, + ) -> None: + """ + num_heads_kv: can be used to toggle MQA / GQA. If None, use num_heads. + return_residual: whether to return the input x along with the output. This is for + performance reason: for post-norm architecture, returning the input allows us + to fuse the backward of nn.Linear with the residual connection. + """ + factory_kwargs = {"device": device, "dtype": dtype} + super().__init__() + self.embed_dim = embed_dim + self.layer_idx = layer_idx + self.d_conv = d_conv + self.rotary_emb_dim = rotary_emb_dim + self.softmax_scale = softmax_scale + self.causal = causal + + self.num_heads = num_heads + self.num_heads_kv = num_heads_kv if num_heads_kv is not None else num_heads + assert ( + self.num_heads % self.num_heads_kv == 0 + ), "num_heads must be divisible by num_heads_kv" + if head_dim is None: + assert self.embed_dim % num_heads == 0, "embed_dim must be divisible by num_heads" + self.head_dim = head_dim if head_dim is not None else self.embed_dim // num_heads + self.mlp_dim = math.ceil(mlp_dim / 256) * 256 + qkv_dim = self.head_dim * (self.num_heads + 2 * self.num_heads_kv) + out_dim = self.head_dim * self.num_heads + + if self.rotary_emb_dim > 0: + assert RotaryEmbedding is not None, "rotary requires flash_attn to be installed" + self.rotary_emb = RotaryEmbedding( + self.rotary_emb_dim, + base=rotary_emb_base, + interleaved=rotary_emb_interleaved, + device=device, + ) + + self.in_proj = nn.Linear(embed_dim, qkv_dim + self.mlp_dim, bias=qkv_proj_bias, **factory_kwargs) + if self.d_conv > 0: + self.conv1d = nn.Conv1d( + qkv_dim, qkv_dim, kernel_size=self.d_conv, padding=self.d_conv - 1, groups=qkv_dim, + **factory_kwargs + ) + self.out_proj = nn.Linear(out_dim + self.mlp_dim // 2, embed_dim, bias=out_proj_bias, **factory_kwargs) + + def allocate_inference_cache(self, batch_size, max_seqlen, dtype=None): + dtype = self.out_proj.weight.dtype if dtype is None else dtype + device = self.out_proj.weight.device + if self.d_conv > 0: + conv_state = torch.zeros( + batch_size, self.conv1d.weight.shape[0], self.d_conv, device=device, dtype=dtype + ) + else: + conv_state = None + kv_cache = torch.empty( + batch_size, max_seqlen, 2, self.num_heads_kv, self.head_dim, dtype=dtype, device=device, + ) + return kv_cache, conv_state + + def _update_kv_cache(self, kv, inference_params): + """kv: (batch_size, seqlen, 2, nheads, head_dim) or (batch_size, 1, 2, nheads, head_dim)""" + assert self.layer_idx is not None, "Generation requires layer_idx in the constructor" + return _update_kv_cache(kv, inference_params, self.layer_idx) + + def _apply_rotary_update_kvcache_attention(self, q, kv, inference_params): + """ + Fast path that combine 3 steps: apply rotary to Q and K, update kv cache, and apply attention. + q: (batch_size, seqlen_q, nheads, head_dim) + kv: (batch_size, seqlen_k, 2, nheads_kv, head_dim) + """ + assert inference_params is not None and inference_params.seqlen_offset > 0 + if self.rotary_emb_dim > 0: + self.rotary_emb._update_cos_sin_cache( + inference_params.max_seqlen, device=q.device, dtype=q.dtype + ) + rotary_cos, rotary_sin = self.rotary_emb._cos_cached, self.rotary_emb._sin_cached + else: + rotary_cos, rotary_sin = None, None + batch = q.shape[0] + kv_cache, _ = inference_params.key_value_memory_dict[self.layer_idx] + kv_cache = kv_cache[:batch] + cache_seqlens = ( + inference_params.lengths_per_sample[:batch] + if inference_params.lengths_per_sample is not None + else inference_params.seqlen_offset + ) + assert flash_attn_with_kvcache is not None, "flash_attn must be installed" + context = flash_attn_with_kvcache( + q, + kv_cache[:, :, 0], + kv_cache[:, :, 1], + kv[:, :, 0], + kv[:, :, 1], + rotary_cos=rotary_cos, + rotary_sin=rotary_sin, + cache_seqlens=cache_seqlens, + softmax_scale=self.softmax_scale, + causal=self.causal, + rotary_interleaved=self.rotary_emb.interleaved if self.rotary_emb_dim > 0 else False, + ) + return context + + def _update_kvcache_attention(self, q, kv, inference_params): + """Write kv to inference_params, then do attention""" + if ( + inference_params.seqlen_offset == 0 + or flash_attn_with_kvcache is None + ): + # TODO: this only uses seqlen_offset and not lengths_per_sample. + kv = self._update_kv_cache(kv, inference_params) + k, v = kv.unbind(dim=-3) + k = torch.repeat_interleave(k, dim=2, repeats=self.num_heads // self.num_heads_kv) + v = torch.repeat_interleave(v, dim=2, repeats=self.num_heads // self.num_heads_kv) + return F.scaled_dot_product_attention( + q.transpose(1, 2), k.transpose(1, 2), v.transpose(1, 2), is_causal=self.causal, scale=self.softmax_scale + ).transpose(1, 2) + else: + batch = q.shape[0] + kv_cache, _ = inference_params.key_value_memory_dict[self.layer_idx] + kv_cache = kv_cache[:batch] + cache_seqlens = ( + inference_params.lengths_per_sample[:batch] + if inference_params.lengths_per_sample is not None + else inference_params.seqlen_offset + ) + return flash_attn_with_kvcache( + q, + kv_cache[:, :, 0], + kv_cache[:, :, 1], + kv[:, :, 0], + kv[:, :, 1], + cache_seqlens=cache_seqlens, + softmax_scale=self.softmax_scale, + causal=self.causal, + ) + + def forward(self, x, inference_params=None): + """ + Arguments: + x: (batch, seqlen, hidden_dim) (where hidden_dim = num heads * head dim) if + cu_seqlens is None and max_seqlen is None, else (total, hidden_dim) where total + is the is the sum of the sequence lengths in the batch. + inference_params: for generation. Adapted from Megatron-LM (and Apex) + https://github.com/NVIDIA/apex/blob/3ff1a10f72ec07067c4e44759442329804ac5162/apex/transformer/testing/standalone_transformer_lm.py#L470 + """ + if inference_params is not None and self.layer_idx not in inference_params.key_value_memory_dict: + inference_params.key_value_memory_dict[self.layer_idx] = self.allocate_inference_cache( + x.shape[0], inference_params.max_seqlen, dtype=x.dtype + ) + seqlen_offset = ( + 0 + if inference_params is None + else ( + inference_params.lengths_per_sample + if inference_params.lengths_per_sample is not None + else inference_params.seqlen_offset + ) + ) + rotary_max_seqlen = inference_params.max_seqlen if inference_params is not None else None + qkv = self.in_proj(x) + if self.mlp_dim > 0: + qkv, x_mlp = qkv.split([qkv.shape[-1] - self.mlp_dim, self.mlp_dim], dim=-1) + x_mlp_up, x_mlp_gate = x_mlp.chunk(2, dim=-1) + x_mlp = x_mlp_up * F.silu(x_mlp_gate) + if self.d_conv > 0: + # The inference code for conv1d is pretty messy, should clean it up + if (inference_params is None or inference_params.seqlen_offset == 0): + if causal_conv1d_fn is None: + qkv = rearrange( + self.conv1d(rearrange(qkv, "b s d -> b d s"))[..., :-(self.d_conv - 1)], "b d s -> b s d" + ).contiguous() + else: + qkv = causal_conv1d_fn( + qkv.transpose(1, 2), + rearrange(self.conv1d.weight, "d 1 w -> d w"), + self.conv1d.bias + ).transpose(1, 2) + if inference_params is not None: + _, conv_state = inference_params.key_value_memory_dict[self.layer_idx] + # If we just take qkv[:, :, -self.d_conv :], it will error if seqlen < self.d_conv + # Instead F.pad will pad with zeros if seqlen < self.d_conv, and truncate otherwise. + qkv_t = rearrange(qkv, "b l d -> b d l") + conv_state.copy_(F.pad(qkv_t, (self.d_conv - qkv_t.shape[-1], 0))) # Update state (B D W) + else: + _, conv_state = inference_params.key_value_memory_dict[self.layer_idx] + assert qkv.shape[1] == 1, "Only support decoding with 1 token at a time for now" + qkv = qkv.squeeze(1) + # Conv step + if causal_conv1d_update is None: + conv_state.copy_(torch.roll(conv_state, shifts=-1, dims=-1)) # Update state (B D W) + conv_state[:, :, -1] = qkv + qkv = torch.sum(conv_state * rearrange(self.conv1d.weight, "d 1 w -> d w"), dim=-1) # (B D) + if self.conv1d.bias is not None: + qkv = qkv + self.conv1d.bias + else: + qkv = causal_conv1d_update( + qkv, + conv_state, + rearrange(self.conv1d.weight, "d 1 w -> d w"), + self.conv1d.bias + ) + qkv = qkv.unsqueeze(1) + q, kv = qkv.split([self.num_heads * self.head_dim, self.num_heads_kv * 2 * self.head_dim], dim=-1) + q = rearrange(q, "... (h d) -> ... h d", d=self.head_dim) + kv = rearrange(kv, "... (two hkv d) -> ... two hkv d", two=2, d=self.head_dim) + if ( + inference_params is None + or inference_params.seqlen_offset == 0 + or (self.rotary_emb_dim == 0 or self.rotary_emb_dim % 16 != 0) + ): + if self.rotary_emb_dim > 0: + q, kv = self.rotary_emb( + q, kv, seqlen_offset=seqlen_offset, max_seqlen=rotary_max_seqlen + ) + if inference_params is None: + k, v = kv.unbind(dim=-3) + k = torch.repeat_interleave(k, dim=2, repeats=self.num_heads // self.num_heads_kv) + v = torch.repeat_interleave(v, dim=2, repeats=self.num_heads // self.num_heads_kv) + context = F.scaled_dot_product_attention( + q.transpose(1, 2), k.transpose(1, 2), v.transpose(1, 2), is_causal=self.causal, scale=self.softmax_scale + ).transpose(1, 2) + else: + context = self._update_kvcache_attention(q, kv, inference_params) + else: + context = self._apply_rotary_update_kvcache_attention(q, kv, inference_params) + context = rearrange(context, "... h d -> ... (h d)") + if self.mlp_dim > 0: + context = torch.cat([context, x_mlp], dim=-1) + out = self.out_proj(context) + return out diff --git a/torch-ext/mamba_ssm/modules/mlp.py b/torch-ext/mamba_ssm/modules/mlp.py new file mode 100644 index 0000000000000000000000000000000000000000..33bab5c7cc21b96d5f5ccfe233e339cad12cfe2c --- /dev/null +++ b/torch-ext/mamba_ssm/modules/mlp.py @@ -0,0 +1,34 @@ +# Copyright (c) 2024, Tri Dao, Albert Gu. +from torch import nn +from torch.nn import functional as F + + +class GatedMLP(nn.Module): + def __init__( + self, + in_features, + hidden_features=None, + out_features=None, + activation=F.silu, + bias=False, + multiple_of=128, + device=None, + dtype=None, + ): + factory_kwargs = {"device": device, "dtype": dtype} + super().__init__() + out_features = out_features if out_features is not None else in_features + hidden_features = ( + hidden_features if hidden_features is not None else int(8 * in_features / 3) + ) + hidden_features = (hidden_features + multiple_of - 1) // multiple_of * multiple_of + self.fc1 = nn.Linear(in_features, 2 * hidden_features, bias=bias, **factory_kwargs) + self.activation = activation + self.fc2 = nn.Linear(hidden_features, out_features, bias=bias, **factory_kwargs) + + def forward(self, x): + y = self.fc1(x) + y, gate = y.chunk(2, dim=-1) + y = y * self.activation(gate) + y = self.fc2(y) + return y diff --git a/torch-ext/mamba_ssm/modules/ssd_minimal.py b/torch-ext/mamba_ssm/modules/ssd_minimal.py new file mode 100644 index 0000000000000000000000000000000000000000..bce81cf19110542599c95e30ccfbee5955aedfd0 --- /dev/null +++ b/torch-ext/mamba_ssm/modules/ssd_minimal.py @@ -0,0 +1,111 @@ +# Copyright (c) 2024, Albert Gu and Tri Dao. +"""Minimal implementation of SSD. + +This is the same as Listing 1 from the paper. +""" + +import torch +import torch.nn.functional as F +from einops import rearrange, repeat + +from ..ops.triton.ssd_combined import mamba_chunk_scan_combined + + +def segsum_unstable(x): + """Naive segment sum calculation.""" + T = x.size(-1) + x_cumsum = torch.cumsum(x, dim=-1) + x_segsum = x_cumsum[..., :, None] - x_cumsum[..., None, :] + mask = torch.tril(torch.ones(T, T, device=x.device, dtype=bool), diagonal=0) + x_segsum = x_segsum.masked_fill(~mask, -torch.inf) + return x_segsum + + +def segsum(x): + """More stable segment sum calculation.""" + T = x.size(-1) + x = repeat(x, "... d -> ... d e", e=T) + mask = torch.tril(torch.ones(T, T, device=x.device, dtype=bool), diagonal=-1) + x = x.masked_fill(~mask, 0) + x_segsum = torch.cumsum(x, dim=-2) + mask = torch.tril(torch.ones(T, T, device=x.device, dtype=bool), diagonal=0) + x_segsum = x_segsum.masked_fill(~mask, -torch.inf) + return x_segsum + + +def ssd_minimal_discrete(X, A, B, C, block_len, initial_states=None): + """ + Arguments: + X: (batch, length, n_heads, d_head) + A: (batch, length, n_heads) + B: (batch, length, n_heads, d_state) + C: (batch, length, n_heads, d_state) + Return: + Y: (batch, length, n_heads, d_head) + """ + assert X.dtype == A.dtype == B.dtype == C.dtype + assert X.shape[1] % block_len == 0 + + # Rearrange into blocks/chunks + X, A, B, C = [ + rearrange(x, "b (c l) ... -> b c l ...", l=block_len) for x in (X, A, B, C) + ] + + A = rearrange(A, "b c l h -> b h c l") + A_cumsum = torch.cumsum(A, dim=-1) + + # 1. Compute the output for each intra-chunk (diagonal blocks) + L = torch.exp(segsum(A)) + Y_diag = torch.einsum("bclhn,bcshn,bhcls,bcshp->bclhp", C, B, L, X) + + # 2. Compute the state for each intra-chunk + # (right term of low-rank factorization of off-diagonal blocks; B terms) + decay_states = torch.exp((A_cumsum[:, :, :, -1:] - A_cumsum)) + states = torch.einsum("bclhn,bhcl,bclhp->bchpn", B, decay_states, X) + + # 3. Compute the inter-chunk SSM recurrence; produces correct SSM states at chunk boundaries + # (middle term of factorization of off-diag blocks; A terms) + if initial_states is None: + initial_states = torch.zeros_like(states[:, :1]) + states = torch.cat([initial_states, states], dim=1) + decay_chunk = torch.exp(segsum(F.pad(A_cumsum[:, :, :, -1], (1, 0)))) + new_states = torch.einsum("bhzc,bchpn->bzhpn", decay_chunk, states) + states, final_state = new_states[:, :-1], new_states[:, -1] + + # 4. Compute state -> output conversion per chunk + # (left term of low-rank factorization of off-diagonal blocks; C terms) + state_decay_out = torch.exp(A_cumsum) + Y_off = torch.einsum("bclhn,bchpn,bhcl->bclhp", C, states, state_decay_out) + + # Add output of intra-chunk and inter-chunk terms (diagonal and off-diagonal blocks) + Y = rearrange(Y_diag + Y_off, "b c l h p -> b (c l) h p") + return Y, final_state + + +# Simple test +def test_correctness(): + torch.manual_seed(42) + + ## Dimensions + # Denoted (B, T, Q, D, P) in the paper + batch, seqlen, chunk_size, dim, headdim = 1, 2048, 64, 2048, 64 + nheads = dim // headdim # (H) in the paper + ngroups = 1 # (G) in the paper + dstate = 64 # (N) in the paper + dtype = torch.float32 + device = "cuda" + + x = torch.randn(batch, seqlen, nheads, headdim, dtype=dtype, device=device) + dt = F.softplus( + torch.randn(batch, seqlen, nheads, dtype=torch.float32, device=device) - 4 + ).requires_grad_() + A = ( + -torch.exp(torch.rand(nheads, dtype=torch.float32, device=device)) + ).requires_grad_() + B = torch.randn(batch, seqlen, ngroups, dstate, dtype=dtype, device=device) + C = torch.randn(batch, seqlen, ngroups, dstate, dtype=dtype, device=device) + D = torch.randn(nheads, dtype=dtype, device=device) + + # Comparing fused version and minimal version + y = mamba_chunk_scan_combined(x, dt, A, B, C, chunk_size, D=None) + y_min, _ = ssd_minimal_discrete(x * dt.unsqueeze(-1), A * dt, B, C, chunk_size) diff --git a/torch-ext/mamba_ssm/ops/__init__.py b/torch-ext/mamba_ssm/ops/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/torch-ext/mamba_ssm/ops/selective_scan_interface.py b/torch-ext/mamba_ssm/ops/selective_scan_interface.py new file mode 100644 index 0000000000000000000000000000000000000000..bc418752838894bd84e4dde161d66ff573f042df --- /dev/null +++ b/torch-ext/mamba_ssm/ops/selective_scan_interface.py @@ -0,0 +1,659 @@ +# Copyright (c) 2023, Tri Dao, Albert Gu. + +import torch +import torch.nn.functional as F +from ..utils.torch import custom_fwd, custom_bwd + +from einops import rearrange, repeat + +try: + from causal_conv1d import causal_conv1d_fn + import causal_conv1d_cuda +except ImportError: + causal_conv1d_fn = None + causal_conv1d_cuda = None + +from .triton.layer_norm import _layer_norm_fwd + +from .._ops import ops + + +class SelectiveScanFn(torch.autograd.Function): + + @staticmethod + def forward( + ctx, + u, + delta, + A, + B, + C, + D=None, + z=None, + delta_bias=None, + delta_softplus=False, + return_last_state=False, + ): + if u.stride(-1) != 1: + u = u.contiguous() + if delta.stride(-1) != 1: + delta = delta.contiguous() + if D is not None: + D = D.contiguous() + if B.stride(-1) != 1: + B = B.contiguous() + if C.stride(-1) != 1: + C = C.contiguous() + if z is not None and z.stride(-1) != 1: + z = z.contiguous() + if B.dim() == 3: + B = rearrange(B, "b dstate l -> b 1 dstate l") + ctx.squeeze_B = True + if C.dim() == 3: + C = rearrange(C, "b dstate l -> b 1 dstate l") + ctx.squeeze_C = True + out, x, *rest = ops.selective_scan_fwd( + u, delta, A, B, C, D, z, delta_bias, delta_softplus + ) + ctx.delta_softplus = delta_softplus + ctx.has_z = z is not None + last_state = x[:, :, -1, 1::2] # (batch, dim, dstate) + if not ctx.has_z: + ctx.save_for_backward(u, delta, A, B, C, D, delta_bias, x) + return out if not return_last_state else (out, last_state) + else: + ctx.save_for_backward(u, delta, A, B, C, D, z, delta_bias, x, out) + out_z = rest[0] + return out_z if not return_last_state else (out_z, last_state) + + @staticmethod + def backward(ctx, dout, *args): + if not ctx.has_z: + u, delta, A, B, C, D, delta_bias, x = ctx.saved_tensors + z = None + out = None + else: + u, delta, A, B, C, D, z, delta_bias, x, out = ctx.saved_tensors + if dout.stride(-1) != 1: + dout = dout.contiguous() + # The kernel supports passing in a pre-allocated dz (e.g., in case we want to fuse the + # backward of selective_scan_cuda with the backward of chunk). + # Here we just pass in None and dz will be allocated in the C++ code. + du, ddelta, dA, dB, dC, dD, ddelta_bias, *rest = ops.selective_scan_bwd( + u, + delta, + A, + B, + C, + D, + z, + delta_bias, + dout, + x, + out, + None, + ctx.delta_softplus, + False, # option to recompute out_z, not used here + ) + dz = rest[0] if ctx.has_z else None + dB = dB.squeeze(1) if getattr(ctx, "squeeze_B", False) else dB + dC = dC.squeeze(1) if getattr(ctx, "squeeze_C", False) else dC + return ( + du, + ddelta, + dA, + dB, + dC, + dD if D is not None else None, + dz, + ddelta_bias if delta_bias is not None else None, + None, + None, + ) + + +def rms_norm_forward( + x, + weight, + bias, + eps=1e-6, + is_rms_norm=True, +): + # x (b l) d + if x.stride(-1) != 1: + x = x.contiguous() + weight = weight.contiguous() + if bias is not None: + bias = bias.contiguous() + y = _layer_norm_fwd( + x, weight, bias, eps, None, residual_dtype=None, is_rms_norm=is_rms_norm + )[0] + # y (b l) d + return y + + +def selective_scan_fn( + u, + delta, + A, + B, + C, + D=None, + z=None, + delta_bias=None, + delta_softplus=False, + return_last_state=False, +): + """if return_last_state is True, returns (out, last_state) + last_state has shape (batch, dim, dstate). Note that the gradient of the last state is + not considered in the backward pass. + """ + return SelectiveScanFn.apply( + u, delta, A, B, C, D, z, delta_bias, delta_softplus, return_last_state + ) + + +def selective_scan_ref( + u, + delta, + A, + B, + C, + D=None, + z=None, + delta_bias=None, + delta_softplus=False, + return_last_state=False, +): + """ + u: r(B D L) + delta: r(B D L) + A: c(D N) or r(D N) + B: c(D N) or r(B N L) or r(B N 2L) or r(B G N L) or (B G N L) + C: c(D N) or r(B N L) or r(B N 2L) or r(B G N L) or (B G N L) + D: r(D) + z: r(B D L) + delta_bias: r(D), fp32 + + out: r(B D L) + last_state (optional): r(B D dstate) or c(B D dstate) + """ + dtype_in = u.dtype + u = u.float() + delta = delta.float() + if delta_bias is not None: + delta = delta + delta_bias[..., None].float() + if delta_softplus: + delta = F.softplus(delta) + batch, dim, dstate = u.shape[0], A.shape[0], A.shape[1] + is_variable_B = B.dim() >= 3 + is_variable_C = C.dim() >= 3 + if A.is_complex(): + if is_variable_B: + B = torch.view_as_complex( + rearrange(B.float(), "... (L two) -> ... L two", two=2) + ) + if is_variable_C: + C = torch.view_as_complex( + rearrange(C.float(), "... (L two) -> ... L two", two=2) + ) + else: + B = B.float() + C = C.float() + x = A.new_zeros((batch, dim, dstate)) + ys = [] + deltaA = torch.exp(torch.einsum("bdl,dn->bdln", delta, A)) + if not is_variable_B: + deltaB_u = torch.einsum("bdl,dn,bdl->bdln", delta, B, u) + else: + if B.dim() == 3: + deltaB_u = torch.einsum("bdl,bnl,bdl->bdln", delta, B, u) + else: + B = repeat(B, "B G N L -> B (G H) N L", H=dim // B.shape[1]) + deltaB_u = torch.einsum("bdl,bdnl,bdl->bdln", delta, B, u) + if is_variable_C and C.dim() == 4: + C = repeat(C, "B G N L -> B (G H) N L", H=dim // C.shape[1]) + last_state = None + for i in range(u.shape[2]): + x = deltaA[:, :, i] * x + deltaB_u[:, :, i] + if not is_variable_C: + y = torch.einsum("bdn,dn->bd", x, C) + else: + if C.dim() == 3: + y = torch.einsum("bdn,bn->bd", x, C[:, :, i]) + else: + y = torch.einsum("bdn,bdn->bd", x, C[:, :, :, i]) + if i == u.shape[2] - 1: + last_state = x + if y.is_complex(): + y = y.real * 2 + ys.append(y) + y = torch.stack(ys, dim=2) # (batch dim L) + out = y if D is None else y + u * rearrange(D, "d -> d 1") + if z is not None: + out = out * F.silu(z) + out = out.to(dtype=dtype_in) + return out if not return_last_state else (out, last_state) + + +class MambaInnerFn(torch.autograd.Function): + + @staticmethod + @custom_fwd + def forward( + ctx, + xz, + conv1d_weight, + conv1d_bias, + x_proj_weight, + delta_proj_weight, + out_proj_weight, + out_proj_bias, + A, + B=None, + C=None, + D=None, + delta_bias=None, + B_proj_bias=None, + C_proj_bias=None, + delta_softplus=True, + checkpoint_lvl=1, + b_rms_weight=None, + c_rms_weight=None, + dt_rms_weight=None, + b_c_dt_rms_eps=1e-6, + ): + """ + xz: (batch, dim, seqlen) + """ + assert ( + causal_conv1d_cuda is not None + ), "causal_conv1d_cuda is not available. Please install causal-conv1d." + assert checkpoint_lvl in [0, 1] + L = xz.shape[-1] + delta_rank = delta_proj_weight.shape[1] + d_state = A.shape[-1] * (1 if not A.is_complex() else 2) + if torch.is_autocast_enabled(): + x_proj_weight = x_proj_weight.to(dtype=torch.get_autocast_gpu_dtype()) + delta_proj_weight = delta_proj_weight.to( + dtype=torch.get_autocast_gpu_dtype() + ) + out_proj_weight = out_proj_weight.to(dtype=torch.get_autocast_gpu_dtype()) + out_proj_bias = ( + out_proj_bias.to(dtype=torch.get_autocast_gpu_dtype()) + if out_proj_bias is not None + else None + ) + if xz.stride(-1) != 1: + xz = xz.contiguous() + conv1d_weight = rearrange(conv1d_weight, "d 1 w -> d w") + x, z = xz.chunk(2, dim=1) + conv1d_bias = conv1d_bias.contiguous() if conv1d_bias is not None else None + conv1d_out = causal_conv1d_cuda.causal_conv1d_fwd( + x, conv1d_weight, conv1d_bias, None, None, None, True + ) + # We're being very careful here about the layout, to avoid extra transposes. + # We want delta to have d as the slowest moving dimension + # and L as the fastest moving dimension, since those are what the ssm_scan kernel expects. + x_dbl = F.linear( + rearrange(conv1d_out, "b d l -> (b l) d"), x_proj_weight + ) # (bl d) + delta = rearrange( + delta_proj_weight @ x_dbl[:, :delta_rank].t(), "d (b l) -> b d l", l=L + ) + ctx.is_variable_B = B is None + ctx.is_variable_C = C is None + ctx.B_proj_bias_is_None = B_proj_bias is None + ctx.C_proj_bias_is_None = C_proj_bias is None + if B is None: # variable B + B = x_dbl[:, delta_rank : delta_rank + d_state] # (bl dstate) + if B_proj_bias is not None: + B = B + B_proj_bias.to(dtype=B.dtype) + if not A.is_complex(): + # B = rearrange(B, "(b l) dstate -> b dstate l", l=L).contiguous() + B = rearrange(B, "(b l) dstate -> b 1 dstate l", l=L).contiguous() + else: + B = rearrange( + B, "(b l) (dstate two) -> b 1 dstate (l two)", l=L, two=2 + ).contiguous() + else: + if B.stride(-1) != 1: + B = B.contiguous() + if C is None: # variable C + C = x_dbl[:, -d_state:] # (bl dstate) + if C_proj_bias is not None: + C = C + C_proj_bias.to(dtype=C.dtype) + if not A.is_complex(): + # C = rearrange(C, "(b l) dstate -> b dstate l", l=L).contiguous() + C = rearrange(C, "(b l) dstate -> b 1 dstate l", l=L).contiguous() + else: + C = rearrange( + C, "(b l) (dstate two) -> b 1 dstate (l two)", l=L, two=2 + ).contiguous() + else: + if C.stride(-1) != 1: + C = C.contiguous() + if D is not None: + D = D.contiguous() + + if b_rms_weight is not None: + B = rearrange(B, "b 1 dstate l -> (b l) dstate", l=L).contiguous() + B = rms_norm_forward(B, b_rms_weight, bias=None, eps=b_c_dt_rms_eps) + B = rearrange(B, "(b l) dstate -> b 1 dstate l", l=L).contiguous() + if c_rms_weight is not None: + C = rearrange(C, "b 1 dstate l -> (b l) dstate", l=L).contiguous() + C = rms_norm_forward(C, c_rms_weight, bias=None, eps=b_c_dt_rms_eps) + C = rearrange(C, "(b l) dstate -> b 1 dstate l", l=L).contiguous() + if dt_rms_weight is not None: + delta = rearrange(delta, "b d l -> (b l) d", l=L).contiguous() + delta = rms_norm_forward( + delta, dt_rms_weight, bias=None, eps=b_c_dt_rms_eps + ) + delta = rearrange(delta, "(b l) d -> b d l", l=L).contiguous() + + out, scan_intermediates, out_z = ops.selective_scan_fwd( + conv1d_out, delta, A, B, C, D, z, delta_bias, delta_softplus + ) + ctx.delta_softplus = delta_softplus + ctx.out_proj_bias_is_None = out_proj_bias is None + ctx.checkpoint_lvl = checkpoint_lvl + ctx.b_rms_weight = b_rms_weight + ctx.c_rms_weight = c_rms_weight + ctx.dt_rms_weight = dt_rms_weight + ctx.b_c_dt_rms_eps = b_c_dt_rms_eps + if ( + checkpoint_lvl >= 1 + ): # Will recompute conv1d_out and delta in the backward pass + conv1d_out, delta = None, None + ctx.save_for_backward( + xz, + conv1d_weight, + conv1d_bias, + x_dbl, + x_proj_weight, + delta_proj_weight, + out_proj_weight, + conv1d_out, + delta, + A, + B, + C, + D, + delta_bias, + scan_intermediates, + b_rms_weight, + c_rms_weight, + dt_rms_weight, + out, + ) + return F.linear( + rearrange(out_z, "b d l -> b l d"), out_proj_weight, out_proj_bias + ) + + @staticmethod + @custom_bwd + def backward(ctx, dout): + # dout: (batch, seqlen, dim) + assert ( + causal_conv1d_cuda is not None + ), "causal_conv1d_cuda is not available. Please install causal-conv1d." + ( + xz, + conv1d_weight, + conv1d_bias, + x_dbl, + x_proj_weight, + delta_proj_weight, + out_proj_weight, + conv1d_out, + delta, + A, + B, + C, + D, + delta_bias, + scan_intermediates, + b_rms_weight, + c_rms_weight, + dt_rms_weight, + out, + ) = ctx.saved_tensors + L = xz.shape[-1] + delta_rank = delta_proj_weight.shape[1] + d_state = A.shape[-1] * (1 if not A.is_complex() else 2) + x, z = xz.chunk(2, dim=1) + if dout.stride(-1) != 1: + dout = dout.contiguous() + if ctx.checkpoint_lvl == 1: + conv1d_out = causal_conv1d_cuda.causal_conv1d_fwd( + x, conv1d_weight, conv1d_bias, None, None, None, True + ) + delta = rearrange( + delta_proj_weight @ x_dbl[:, :delta_rank].t(), "d (b l) -> b d l", l=L + ) + if dt_rms_weight is not None: + delta = rearrange(delta, "b d l -> (b l) d", l=L).contiguous() + delta = rms_norm_forward( + delta, ctx.dt_rms_weight, None, ctx.b_c_dt_rms_eps + ) + delta = rearrange(delta, "(b l) d -> b d l", l=L).contiguous() + if b_rms_weight is not None: + # Recompute & RMSNorm B + B = rearrange(B, "b 1 dstate l -> (b l) dstate", l=L).contiguous() + B = rms_norm_forward(B, ctx.b_rms_weight, None, ctx.b_c_dt_rms_eps) + B = rearrange(B, "(b l) dstate -> b 1 dstate l", l=L).contiguous() + if c_rms_weight is not None: + # Recompute & RMSNorm C + C = rearrange(C, "b 1 dstate l -> (b l) dstate", l=L).contiguous() + C = rms_norm_forward(C, ctx.c_rms_weight, None, ctx.b_c_dt_rms_eps) + C = rearrange(C, "(b l) dstate -> b 1 dstate l", l=L).contiguous() + + # The kernel supports passing in a pre-allocated dz (e.g., in case we want to fuse the + # backward of selective_scan_cuda with the backward of chunk). + dxz = torch.empty_like(xz) # (batch, dim, seqlen) + dx, dz = dxz.chunk(2, dim=1) + dout = rearrange(dout, "b l e -> e (b l)") + dout_y = rearrange(out_proj_weight.t() @ dout, "d (b l) -> b d l", l=L) + dconv1d_out, ddelta, dA, dB, dC, dD, ddelta_bias, dz, out_z = ( + ops.selective_scan_bwd( + conv1d_out, + delta, + A, + B, + C, + D, + z, + delta_bias, + dout_y, + scan_intermediates, + out, + dz, + ctx.delta_softplus, + True, # option to recompute out_z + ) + ) + dout_proj_weight = torch.einsum( + "eB,dB->ed", dout, rearrange(out_z, "b d l -> d (b l)") + ) + dout_proj_bias = dout.sum(dim=(0, 1)) if not ctx.out_proj_bias_is_None else None + dD = dD if D is not None else None + dx_dbl = torch.empty_like(x_dbl) + dB_proj_bias = None + if ctx.is_variable_B: + if not A.is_complex(): + dB = rearrange(dB, "b 1 dstate l -> (b l) dstate").contiguous() + else: + dB = rearrange( + dB, "b 1 dstate (l two) -> (b l) (dstate two)", two=2 + ).contiguous() + dB_proj_bias = dB.sum(0) if not ctx.B_proj_bias_is_None else None + dx_dbl[:, delta_rank : delta_rank + d_state] = dB # (bl d) + dB = None + dC_proj_bias = None + if ctx.is_variable_C: + if not A.is_complex(): + dC = rearrange(dC, "b 1 dstate l -> (b l) dstate").contiguous() + else: + dC = rearrange( + dC, "b 1 dstate (l two) -> (b l) (dstate two)", two=2 + ).contiguous() + dC_proj_bias = dC.sum(0) if not ctx.C_proj_bias_is_None else None + dx_dbl[:, -d_state:] = dC # (bl d) + dC = None + ddelta = rearrange(ddelta, "b d l -> d (b l)") + ddelta_proj_weight = torch.einsum("dB,Br->dr", ddelta, x_dbl[:, :delta_rank]) + dx_dbl[:, :delta_rank] = torch.einsum("dB,dr->Br", ddelta, delta_proj_weight) + dconv1d_out = rearrange(dconv1d_out, "b d l -> d (b l)") + dx_proj_weight = torch.einsum( + "Br,Bd->rd", dx_dbl, rearrange(conv1d_out, "b d l -> (b l) d") + ) + dconv1d_out = torch.addmm( + dconv1d_out, x_proj_weight.t(), dx_dbl.t(), out=dconv1d_out + ) + dconv1d_out = rearrange( + dconv1d_out, "d (b l) -> b d l", b=x.shape[0], l=x.shape[-1] + ) + # The kernel supports passing in a pre-allocated dx (e.g., in case we want to fuse the + # backward of conv1d with the backward of chunk). + dx, dconv1d_weight, dconv1d_bias, *_ = causal_conv1d_cuda.causal_conv1d_bwd( + x, + conv1d_weight, + conv1d_bias, + dconv1d_out, + None, + None, + None, + dx, + False, + True, + ) + dconv1d_bias = dconv1d_bias if conv1d_bias is not None else None + dconv1d_weight = rearrange(dconv1d_weight, "d w -> d 1 w") + return ( + dxz, + dconv1d_weight, + dconv1d_bias, + dx_proj_weight, + ddelta_proj_weight, + dout_proj_weight, + dout_proj_bias, + dA, + dB, + dC, + dD, + ddelta_bias if delta_bias is not None else None, + # 6-None are delta_softplus, checkpoint_lvl, b_rms_weight, c_rms_weight, dt_rms_weight, b_c_dt_rms_eps + dB_proj_bias, + dC_proj_bias, + None, + None, + None, + None, + None, + None, + ) + + +def mamba_inner_fn( + xz, + conv1d_weight, + conv1d_bias, + x_proj_weight, + delta_proj_weight, + out_proj_weight, + out_proj_bias, + A, + B=None, + C=None, + D=None, + delta_bias=None, + B_proj_bias=None, + C_proj_bias=None, + delta_softplus=True, + checkpoint_lvl=1, + b_rms_weight=None, + c_rms_weight=None, + dt_rms_weight=None, + b_c_dt_rms_eps=1e-6, +): + return MambaInnerFn.apply( + xz, + conv1d_weight, + conv1d_bias, + x_proj_weight, + delta_proj_weight, + out_proj_weight, + out_proj_bias, + A, + B, + C, + D, + delta_bias, + B_proj_bias, + C_proj_bias, + delta_softplus, + checkpoint_lvl, + b_rms_weight, + c_rms_weight, + dt_rms_weight, + b_c_dt_rms_eps, + ) + + +def mamba_inner_ref( + xz, + conv1d_weight, + conv1d_bias, + x_proj_weight, + delta_proj_weight, + out_proj_weight, + out_proj_bias, + A, + B=None, + C=None, + D=None, + delta_bias=None, + B_proj_bias=None, + C_proj_bias=None, + delta_softplus=True, +): + assert ( + causal_conv1d_fn is not None + ), "causal_conv1d_fn is not available. Please install causal-conv1d." + L = xz.shape[-1] + delta_rank = delta_proj_weight.shape[1] + d_state = A.shape[-1] * (1 if not A.is_complex() else 2) + x, z = xz.chunk(2, dim=1) + x = causal_conv1d_fn( + x, rearrange(conv1d_weight, "d 1 w -> d w"), conv1d_bias, activation="silu" + ) + # We're being very careful here about the layout, to avoid extra transposes. + # We want delta to have d as the slowest moving dimension + # and L as the fastest moving dimension, since those are what the ssm_scan kernel expects. + x_dbl = F.linear(rearrange(x, "b d l -> (b l) d"), x_proj_weight) # (bl d) + delta = delta_proj_weight @ x_dbl[:, :delta_rank].t() + delta = rearrange(delta, "d (b l) -> b d l", l=L) + if B is None: # variable B + B = x_dbl[:, delta_rank : delta_rank + d_state] # (bl d) + if B_proj_bias is not None: + B = B + B_proj_bias.to(dtype=B.dtype) + if not A.is_complex(): + B = rearrange(B, "(b l) dstate -> b dstate l", l=L).contiguous() + else: + B = rearrange( + B, "(b l) (dstate two) -> b dstate (l two)", l=L, two=2 + ).contiguous() + if C is None: # variable B + C = x_dbl[:, -d_state:] # (bl d) + if C_proj_bias is not None: + C = C + C_proj_bias.to(dtype=C.dtype) + if not A.is_complex(): + C = rearrange(C, "(b l) dstate -> b dstate l", l=L).contiguous() + else: + C = rearrange( + C, "(b l) (dstate two) -> b dstate (l two)", l=L, two=2 + ).contiguous() + y = selective_scan_fn( + x, delta, A, B, C, D, z=z, delta_bias=delta_bias, delta_softplus=True + ) + return F.linear(rearrange(y, "b d l -> b l d"), out_proj_weight, out_proj_bias) diff --git a/torch-ext/mamba_ssm/ops/triton/__init__.py b/torch-ext/mamba_ssm/ops/triton/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/torch-ext/mamba_ssm/ops/triton/k_activations.py b/torch-ext/mamba_ssm/ops/triton/k_activations.py new file mode 100644 index 0000000000000000000000000000000000000000..79fa2cc672dd5ad839498e9150658ed7abce8736 --- /dev/null +++ b/torch-ext/mamba_ssm/ops/triton/k_activations.py @@ -0,0 +1,169 @@ +# Copyright (c) 2024, Tri Dao, Albert Gu. + +import torch + +import triton +import triton.language as tl + + +@triton.autotune( + configs=[ + triton.Config({'BLOCK_N': 32}), + triton.Config({'BLOCK_N': 64}), + triton.Config({'BLOCK_N': 128}), + triton.Config({'BLOCK_N': 256}), + triton.Config({'BLOCK_N': 512}), + triton.Config({'BLOCK_N': 1024}), + ], + key=['ncols'], +) +@triton.jit +def _swiglu_fwd_kernel( + X, + Y, + OUT, + stride_x_row, # how much to increase the pointer when moving by 1 row + stride_y_row, + stride_out_row, + ncols, + BLOCK_N: tl.constexpr, +): + # Map the program id to the row of X and Y it should compute. + row = tl.program_id(0) + start_col = tl.program_id(1) * BLOCK_N + X += row * stride_x_row + Y += row * stride_y_row + OUT += row * stride_out_row + cols = start_col + tl.arange(0, BLOCK_N) + x = tl.load(X + cols, mask=cols < ncols, other=0.).to(tl.float32) + y = tl.load(Y + cols, mask=cols < ncols, other=0.).to(tl.float32) + out = x * tl.sigmoid(x) * y + tl.store(OUT + cols, out, mask=cols < ncols) + + +def _swiglu_fwd(xy, out=None): + if xy.stride(-1) != 1: + xy = xy.contiguous() + batch_shape = xy.shape[:-1] + xy = xy.reshape(-1, xy.shape[-1]) + x, y = xy.chunk(2, dim=-1) + if out is None: + out = torch.empty_like(x) + else: + out = out.reshape(-1, out.shape[-1]) + assert out.shape == x.shape + assert out.stride(-1) == 1 + M, N = x.shape + grid = lambda META: (M, triton.cdiv(N, META['BLOCK_N'])) + with torch.cuda.device(x.device.index): + _swiglu_fwd_kernel[grid](x, y, out, x.stride(0), y.stride(0), out.stride(0), N) + return out.reshape(*batch_shape, out.shape[-1]) + + +@triton.autotune( + configs=[ + triton.Config({'BLOCK_N': 32}), + triton.Config({'BLOCK_N': 64}), + triton.Config({'BLOCK_N': 128}), + triton.Config({'BLOCK_N': 256}), + triton.Config({'BLOCK_N': 512}), + triton.Config({'BLOCK_N': 1024}), + ], + key=['ncols'], +) +@triton.heuristics({"RECOMPUTE_OUTPUT": lambda args: args["OUT"] is not None}) +@triton.jit +def _swiglu_bwd_kernel( + X, + Y, + DOUT, + OUT, + DX, + DY, + stride_x_row, # how much to increase the pointer when moving by 1 row + stride_y_row, + stride_dout_row, + stride_out_row, + stride_dx_row, + stride_dy_row, + ncols, + BLOCK_N: tl.constexpr, + RECOMPUTE_OUTPUT: tl.constexpr, +): + # Map the program id to the row of X and Y it should compute. + row = tl.program_id(0) + start_col = tl.program_id(1) * BLOCK_N + X += row * stride_x_row + Y += row * stride_y_row + DOUT += row * stride_dout_row + if RECOMPUTE_OUTPUT: + OUT += row * stride_out_row + DX += row * stride_dx_row + DY += row * stride_dy_row + cols = start_col + tl.arange(0, BLOCK_N) + x = tl.load(X + cols, mask=cols < ncols, other=0.).to(tl.float32) + y = tl.load(Y + cols, mask=cols < ncols, other=0.).to(tl.float32) + dout = tl.load(DOUT + cols, mask=cols < ncols, other=0.).to(tl.float32) + x_sigmoid = tl.sigmoid(x) + dx = x_sigmoid * (1 + x * (1 - x_sigmoid)) * y * dout + dy = x * x_sigmoid * dout + tl.store(DX + cols, dx, mask=cols < ncols) + tl.store(DY + cols, dy, mask=cols < ncols) + if RECOMPUTE_OUTPUT: + out = x * x_sigmoid * y + tl.store(OUT + cols, out, mask=cols < ncols) + + +def _swiglu_bwd(xy, dout, dxy=None, recompute_output=False, out=None): + if xy.stride(-1) != 1: + xy = xy.contiguous() + if dout.stride(-1) != 1: + dout = dout.contiguous() + batch_shape = xy.shape[:-1] + xy = xy.reshape(-1, xy.shape[-1]) + x, y = xy.chunk(2, dim=-1) + dout = dout.reshape(-1, dout.shape[-1]) + assert dout.shape == x.shape + if dxy is None: + dxy = torch.empty_like(xy) + else: + dxy = dxy.reshape(-1, dxy.shape[-1]) + assert dxy.shape == xy.shape + dx, dy = dxy.chunk(2, dim=-1) + assert dx.stride(-1) == 1 + assert dy.stride(-1) == 1 + if recompute_output: + if out is None: + out = torch.empty_like(x) + else: + out = out.reshape(-1, out.shape[-1]) + assert out.shape == x.shape + assert out.stride(-1) == 1 + M, N = x.shape + grid = lambda META: (M, triton.cdiv(N, META['BLOCK_N'])) + with torch.cuda.device(x.device.index): + _swiglu_bwd_kernel[grid](x, y, dout, out if recompute_output else None, dx, dy, + x.stride(0), y.stride(0), dout.stride(0), + out.stride(0) if recompute_output else 0, + dx.stride(0), dy.stride(0), + N) + if not recompute_output: + return dxy.reshape(*batch_shape, dxy.shape[-1]) + else: + return dxy.reshape(*batch_shape, dxy.shape[-1]), out.reshape(*batch_shape, out.shape[-1]) + + +class SwiGLU(torch.autograd.Function): + + @staticmethod + def forward(ctx, xy): + ctx.save_for_backward(xy) + return _swiglu_fwd(xy) + + @staticmethod + def backward(ctx, dout): + xy, = ctx.saved_tensors + return _swiglu_bwd(xy, dout) + + +swiglu = SwiGLU.apply diff --git a/torch-ext/mamba_ssm/ops/triton/layer_norm.py b/torch-ext/mamba_ssm/ops/triton/layer_norm.py new file mode 100755 index 0000000000000000000000000000000000000000..2c921eeb89f686db06da3abccaf024e9078c7984 --- /dev/null +++ b/torch-ext/mamba_ssm/ops/triton/layer_norm.py @@ -0,0 +1,1166 @@ +# Copyright (c) 2024, Tri Dao. +# Implement dropout + residual + layer_norm / rms_norm. + +# Based on the Triton LayerNorm tutorial: https://triton-lang.org/main/getting-started/tutorials/05-layer-norm.html +# For the backward pass, we keep weight_grad and bias_grad in registers and accumulate. +# This is faster for dimensions up to 8k, but after that it's much slower due to register spilling. +# The models we train have hidden dim up to 8k anyway (e.g. Llama 70B), so this is fine. + +import math +import warnings + +import torch +import torch.nn.functional as F +from ...utils.torch import custom_bwd, custom_fwd + +import triton +import triton.language as tl + + +def layer_norm_ref( + x, + weight, + bias, + residual=None, + x1=None, + weight1=None, + bias1=None, + eps=1e-6, + dropout_p=0.0, + rowscale=None, + prenorm=False, + dropout_mask=None, + dropout_mask1=None, + upcast=False, +): + dtype = x.dtype + if upcast: + x = x.float() + weight = weight.float() + bias = bias.float() if bias is not None else None + residual = residual.float() if residual is not None else residual + x1 = x1.float() if x1 is not None else None + weight1 = weight1.float() if weight1 is not None else None + bias1 = bias1.float() if bias1 is not None else None + if x1 is not None: + assert rowscale is None, "rowscale is not supported with parallel LayerNorm" + if rowscale is not None: + x = x * rowscale[..., None] + if dropout_p > 0.0: + if dropout_mask is not None: + x = x.masked_fill(~dropout_mask, 0.0) / (1.0 - dropout_p) + else: + x = F.dropout(x, p=dropout_p) + if x1 is not None: + if dropout_mask1 is not None: + x1 = x1.masked_fill(~dropout_mask1, 0.0) / (1.0 - dropout_p) + else: + x1 = F.dropout(x1, p=dropout_p) + if x1 is not None: + x = x + x1 + if residual is not None: + x = (x + residual).to(x.dtype) + out = F.layer_norm( + x.to(weight.dtype), x.shape[-1:], weight=weight, bias=bias, eps=eps + ).to(dtype) + if weight1 is None: + return out if not prenorm else (out, x) + else: + out1 = F.layer_norm( + x.to(weight1.dtype), x.shape[-1:], weight=weight1, bias=bias1, eps=eps + ).to(dtype) + return (out, out1) if not prenorm else (out, out1, x) + + +def rms_norm_ref( + x, + weight, + bias, + residual=None, + x1=None, + weight1=None, + bias1=None, + eps=1e-6, + dropout_p=0.0, + rowscale=None, + prenorm=False, + dropout_mask=None, + dropout_mask1=None, + upcast=False, +): + dtype = x.dtype + if upcast: + x = x.float() + weight = weight.float() + bias = bias.float() if bias is not None else None + residual = residual.float() if residual is not None else residual + x1 = x1.float() if x1 is not None else None + weight1 = weight1.float() if weight1 is not None else None + bias1 = bias1.float() if bias1 is not None else None + if x1 is not None: + assert rowscale is None, "rowscale is not supported with parallel LayerNorm" + if rowscale is not None: + x = x * rowscale[..., None] + if dropout_p > 0.0: + if dropout_mask is not None: + x = x.masked_fill(~dropout_mask, 0.0) / (1.0 - dropout_p) + else: + x = F.dropout(x, p=dropout_p) + if x1 is not None: + if dropout_mask1 is not None: + x1 = x1.masked_fill(~dropout_mask1, 0.0) / (1.0 - dropout_p) + else: + x1 = F.dropout(x1, p=dropout_p) + if x1 is not None: + x = x + x1 + if residual is not None: + x = (x + residual).to(x.dtype) + rstd = 1 / torch.sqrt((x.square()).mean(dim=-1, keepdim=True) + eps) + out = ((x * rstd * weight) + bias if bias is not None else (x * rstd * weight)).to( + dtype + ) + if weight1 is None: + return out if not prenorm else (out, x) + else: + out1 = ( + (x * rstd * weight1) + bias1 if bias1 is not None else (x * rstd * weight1) + ).to(dtype) + return (out, out1) if not prenorm else (out, out1, x) + + +def config_prune(configs): + + if torch.version.hip: + try: + # set warp size based on gcn architecure + gcn_arch_name = torch.cuda.get_device_properties(0).gcnArchName + if "gfx10" in gcn_arch_name or "gfx11" in gcn_arch_name: + # radeon + warp_size = 32 + else: + # instinct + warp_size = 64 + except AttributeError as e: + # fall back to crude method to set warp size + device_name = torch.cuda.get_device_properties(0).name + if "instinct" in device_name.lower(): + warp_size = 64 + else: + warp_size = 32 + warnings.warn( + f"{e}, warp size set to {warp_size} based on device name: {device_name}", + UserWarning, + ) + + else: + # cuda + warp_size = 32 + + max_block_sz = 1024 + max_num_warps = max_block_sz // warp_size + pruned_configs = [config for config in configs if config.num_warps <= max_num_warps] + return pruned_configs + + +configs_autotune = [ + triton.Config({}, num_warps=1), + triton.Config({}, num_warps=2), + triton.Config({}, num_warps=4), + triton.Config({}, num_warps=8), + triton.Config({}, num_warps=16), + triton.Config({}, num_warps=32), +] + +pruned_configs_autotune = config_prune(configs_autotune) + + +@triton.autotune( + configs=pruned_configs_autotune, + key=["N", "HAS_RESIDUAL", "STORE_RESIDUAL_OUT", "IS_RMS_NORM", "HAS_BIAS"], +) +# @triton.heuristics({"HAS_BIAS": lambda args: args["B"] is not None}) +# @triton.heuristics({"HAS_RESIDUAL": lambda args: args["RESIDUAL"] is not None}) +@triton.heuristics({"HAS_X1": lambda args: args["X1"] is not None}) +@triton.heuristics({"HAS_W1": lambda args: args["W1"] is not None}) +@triton.heuristics({"HAS_B1": lambda args: args["B1"] is not None}) +@triton.jit +def _layer_norm_fwd_1pass_kernel( + X, # pointer to the input + Y, # pointer to the output + W, # pointer to the weights + B, # pointer to the biases + RESIDUAL, # pointer to the residual + X1, + W1, + B1, + Y1, + RESIDUAL_OUT, # pointer to the residual + ROWSCALE, + SEEDS, # Dropout seeds for each row + DROPOUT_MASK, + Mean, # pointer to the mean + Rstd, # pointer to the 1/std + stride_x_row, # how much to increase the pointer when moving by 1 row + stride_y_row, + stride_res_row, + stride_res_out_row, + stride_x1_row, + stride_y1_row, + M, # number of rows in X + N, # number of columns in X + eps, # epsilon to avoid division by zero + dropout_p, # Dropout probability + IS_RMS_NORM: tl.constexpr, + BLOCK_N: tl.constexpr, + HAS_RESIDUAL: tl.constexpr, + STORE_RESIDUAL_OUT: tl.constexpr, + HAS_BIAS: tl.constexpr, + HAS_DROPOUT: tl.constexpr, + STORE_DROPOUT_MASK: tl.constexpr, + HAS_ROWSCALE: tl.constexpr, + HAS_X1: tl.constexpr, + HAS_W1: tl.constexpr, + HAS_B1: tl.constexpr, +): + # Map the program id to the row of X and Y it should compute. + row = tl.program_id(0) + X += row * stride_x_row + Y += row * stride_y_row + if HAS_RESIDUAL: + RESIDUAL += row * stride_res_row + if STORE_RESIDUAL_OUT: + RESIDUAL_OUT += row * stride_res_out_row + if HAS_X1: + X1 += row * stride_x1_row + if HAS_W1: + Y1 += row * stride_y1_row + # Compute mean and variance + cols = tl.arange(0, BLOCK_N) + x = tl.load(X + cols, mask=cols < N, other=0.0).to(tl.float32) + if HAS_ROWSCALE: + rowscale = tl.load(ROWSCALE + row).to(tl.float32) + x *= rowscale + if HAS_DROPOUT: + # Compute dropout mask + # 7 rounds is good enough, and reduces register pressure + keep_mask = ( + tl.rand(tl.load(SEEDS + row).to(tl.uint32), cols, n_rounds=7) > dropout_p + ) + x = tl.where(keep_mask, x / (1.0 - dropout_p), 0.0) + if STORE_DROPOUT_MASK: + tl.store(DROPOUT_MASK + row * N + cols, keep_mask, mask=cols < N) + if HAS_X1: + x1 = tl.load(X1 + cols, mask=cols < N, other=0.0).to(tl.float32) + if HAS_ROWSCALE: + rowscale = tl.load(ROWSCALE + M + row).to(tl.float32) + x1 *= rowscale + if HAS_DROPOUT: + # Compute dropout mask + # 7 rounds is good enough, and reduces register pressure + keep_mask = ( + tl.rand(tl.load(SEEDS + M + row).to(tl.uint32), cols, n_rounds=7) + > dropout_p + ) + x1 = tl.where(keep_mask, x1 / (1.0 - dropout_p), 0.0) + if STORE_DROPOUT_MASK: + tl.store(DROPOUT_MASK + (M + row) * N + cols, keep_mask, mask=cols < N) + x += x1 + if HAS_RESIDUAL: + residual = tl.load(RESIDUAL + cols, mask=cols < N, other=0.0).to(tl.float32) + x += residual + if STORE_RESIDUAL_OUT: + tl.store(RESIDUAL_OUT + cols, x, mask=cols < N) + if not IS_RMS_NORM: + mean = tl.sum(x, axis=0) / N + tl.store(Mean + row, mean) + xbar = tl.where(cols < N, x - mean, 0.0) + var = tl.sum(xbar * xbar, axis=0) / N + else: + xbar = tl.where(cols < N, x, 0.0) + var = tl.sum(xbar * xbar, axis=0) / N + rstd = 1 / tl.sqrt(var + eps) + tl.store(Rstd + row, rstd) + # Normalize and apply linear transformation + mask = cols < N + w = tl.load(W + cols, mask=mask).to(tl.float32) + if HAS_BIAS: + b = tl.load(B + cols, mask=mask).to(tl.float32) + x_hat = (x - mean) * rstd if not IS_RMS_NORM else x * rstd + y = x_hat * w + b if HAS_BIAS else x_hat * w + # Write output + tl.store(Y + cols, y, mask=mask) + if HAS_W1: + w1 = tl.load(W1 + cols, mask=mask).to(tl.float32) + if HAS_B1: + b1 = tl.load(B1 + cols, mask=mask).to(tl.float32) + y1 = x_hat * w1 + b1 if HAS_B1 else x_hat * w1 + tl.store(Y1 + cols, y1, mask=mask) + + +def _layer_norm_fwd( + x, + weight, + bias, + eps, + residual=None, + x1=None, + weight1=None, + bias1=None, + dropout_p=0.0, + rowscale=None, + out_dtype=None, + residual_dtype=None, + is_rms_norm=False, + return_dropout_mask=False, +): + if residual is not None: + residual_dtype = residual.dtype + M, N = x.shape + assert x.stride(-1) == 1 + if residual is not None: + assert residual.stride(-1) == 1 + assert residual.shape == (M, N) + assert weight.shape == (N,) + assert weight.stride(-1) == 1 + if bias is not None: + assert bias.stride(-1) == 1 + assert bias.shape == (N,) + if x1 is not None: + assert x1.shape == x.shape + assert rowscale is None + assert x1.stride(-1) == 1 + if weight1 is not None: + assert weight1.shape == (N,) + assert weight1.stride(-1) == 1 + if bias1 is not None: + assert bias1.shape == (N,) + assert bias1.stride(-1) == 1 + if rowscale is not None: + assert rowscale.is_contiguous() + assert rowscale.shape == (M,) + # allocate output + y = torch.empty_like(x, dtype=x.dtype if out_dtype is None else out_dtype) + assert y.stride(-1) == 1 + if weight1 is not None: + y1 = torch.empty_like(y) + assert y1.stride(-1) == 1 + else: + y1 = None + if ( + residual is not None + or (residual_dtype is not None and residual_dtype != x.dtype) + or dropout_p > 0.0 + or rowscale is not None + or x1 is not None + ): + residual_out = torch.empty( + M, + N, + device=x.device, + dtype=residual_dtype if residual_dtype is not None else x.dtype, + ) + assert residual_out.stride(-1) == 1 + else: + residual_out = None + mean = ( + torch.empty((M,), dtype=torch.float32, device=x.device) + if not is_rms_norm + else None + ) + rstd = torch.empty((M,), dtype=torch.float32, device=x.device) + if dropout_p > 0.0: + seeds = torch.randint( + 2**32, (M if x1 is None else 2 * M,), device=x.device, dtype=torch.int64 + ) + else: + seeds = None + if return_dropout_mask and dropout_p > 0.0: + dropout_mask = torch.empty( + M if x1 is None else 2 * M, N, device=x.device, dtype=torch.bool + ) + else: + dropout_mask = None + # Less than 64KB per feature: enqueue fused kernel + MAX_FUSED_SIZE = 65536 // x.element_size() + BLOCK_N = min(MAX_FUSED_SIZE, triton.next_power_of_2(N)) + if N > BLOCK_N: + raise RuntimeError("This layer norm doesn't support feature dim >= 64KB.") + with torch.cuda.device(x.device.index): + _layer_norm_fwd_1pass_kernel[(M,)]( + x, + y, + weight, + bias, + residual, + x1, + weight1, + bias1, + y1, + residual_out, + rowscale, + seeds, + dropout_mask, + mean, + rstd, + x.stride(0), + y.stride(0), + residual.stride(0) if residual is not None else 0, + residual_out.stride(0) if residual_out is not None else 0, + x1.stride(0) if x1 is not None else 0, + y1.stride(0) if y1 is not None else 0, + M, + N, + eps, + dropout_p, + is_rms_norm, + BLOCK_N, + residual is not None, + residual_out is not None, + bias is not None, + dropout_p > 0.0, + dropout_mask is not None, + rowscale is not None, + ) + # residual_out is None if residual is None and residual_dtype == input_dtype and dropout_p == 0.0 + if dropout_mask is not None and x1 is not None: + dropout_mask, dropout_mask1 = dropout_mask.tensor_split(2, dim=0) + else: + dropout_mask1 = None + return ( + y, + y1, + mean, + rstd, + residual_out if residual_out is not None else x, + seeds, + dropout_mask, + dropout_mask1, + ) + + +@triton.autotune( + configs=pruned_configs_autotune, + key=[ + "N", + "HAS_DRESIDUAL", + "STORE_DRESIDUAL", + "IS_RMS_NORM", + "HAS_BIAS", + "HAS_DROPOUT", + ], +) +# @triton.heuristics({"HAS_BIAS": lambda args: args["B"] is not None}) +# @triton.heuristics({"HAS_DRESIDUAL": lambda args: args["DRESIDUAL"] is not None}) +# @triton.heuristics({"STORE_DRESIDUAL": lambda args: args["DRESIDUAL_IN"] is not None}) +@triton.heuristics({"HAS_ROWSCALE": lambda args: args["ROWSCALE"] is not None}) +@triton.heuristics({"HAS_DY1": lambda args: args["DY1"] is not None}) +@triton.heuristics({"HAS_DX1": lambda args: args["DX1"] is not None}) +@triton.heuristics({"HAS_B1": lambda args: args["DB1"] is not None}) +@triton.heuristics({"RECOMPUTE_OUTPUT": lambda args: args["Y"] is not None}) +@triton.jit +def _layer_norm_bwd_kernel( + X, # pointer to the input + W, # pointer to the weights + B, # pointer to the biases + Y, # pointer to the output to be recomputed + DY, # pointer to the output gradient + DX, # pointer to the input gradient + DW, # pointer to the partial sum of weights gradient + DB, # pointer to the partial sum of biases gradient + DRESIDUAL, + W1, + DY1, + DX1, + DW1, + DB1, + DRESIDUAL_IN, + ROWSCALE, + SEEDS, + Mean, # pointer to the mean + Rstd, # pointer to the 1/std + stride_x_row, # how much to increase the pointer when moving by 1 row + stride_y_row, + stride_dy_row, + stride_dx_row, + stride_dres_row, + stride_dy1_row, + stride_dx1_row, + stride_dres_in_row, + M, # number of rows in X + N, # number of columns in X + eps, # epsilon to avoid division by zero + dropout_p, + rows_per_program, + IS_RMS_NORM: tl.constexpr, + BLOCK_N: tl.constexpr, + HAS_DRESIDUAL: tl.constexpr, + STORE_DRESIDUAL: tl.constexpr, + HAS_BIAS: tl.constexpr, + HAS_DROPOUT: tl.constexpr, + HAS_ROWSCALE: tl.constexpr, + HAS_DY1: tl.constexpr, + HAS_DX1: tl.constexpr, + HAS_B1: tl.constexpr, + RECOMPUTE_OUTPUT: tl.constexpr, +): + # Map the program id to the elements of X, DX, and DY it should compute. + row_block_id = tl.program_id(0) + row_start = row_block_id * rows_per_program + # Do not early exit if row_start >= M, because we need to write DW and DB + cols = tl.arange(0, BLOCK_N) + mask = cols < N + X += row_start * stride_x_row + if HAS_DRESIDUAL: + DRESIDUAL += row_start * stride_dres_row + if STORE_DRESIDUAL: + DRESIDUAL_IN += row_start * stride_dres_in_row + DY += row_start * stride_dy_row + DX += row_start * stride_dx_row + if HAS_DY1: + DY1 += row_start * stride_dy1_row + if HAS_DX1: + DX1 += row_start * stride_dx1_row + if RECOMPUTE_OUTPUT: + Y += row_start * stride_y_row + w = tl.load(W + cols, mask=mask).to(tl.float32) + if RECOMPUTE_OUTPUT and HAS_BIAS: + b = tl.load(B + cols, mask=mask, other=0.0).to(tl.float32) + if HAS_DY1: + w1 = tl.load(W1 + cols, mask=mask).to(tl.float32) + dw = tl.zeros((BLOCK_N,), dtype=tl.float32) + if HAS_BIAS: + db = tl.zeros((BLOCK_N,), dtype=tl.float32) + if HAS_DY1: + dw1 = tl.zeros((BLOCK_N,), dtype=tl.float32) + if HAS_B1: + db1 = tl.zeros((BLOCK_N,), dtype=tl.float32) + row_end = min((row_block_id + 1) * rows_per_program, M) + for row in range(row_start, row_end): + # Load data to SRAM + x = tl.load(X + cols, mask=mask, other=0).to(tl.float32) + dy = tl.load(DY + cols, mask=mask, other=0).to(tl.float32) + if HAS_DY1: + dy1 = tl.load(DY1 + cols, mask=mask, other=0).to(tl.float32) + if not IS_RMS_NORM: + mean = tl.load(Mean + row) + rstd = tl.load(Rstd + row) + # Compute dx + xhat = (x - mean) * rstd if not IS_RMS_NORM else x * rstd + xhat = tl.where(mask, xhat, 0.0) + if RECOMPUTE_OUTPUT: + y = xhat * w + b if HAS_BIAS else xhat * w + tl.store(Y + cols, y, mask=mask) + wdy = w * dy + dw += dy * xhat + if HAS_BIAS: + db += dy + if HAS_DY1: + wdy += w1 * dy1 + dw1 += dy1 * xhat + if HAS_B1: + db1 += dy1 + if not IS_RMS_NORM: + c1 = tl.sum(xhat * wdy, axis=0) / N + c2 = tl.sum(wdy, axis=0) / N + dx = (wdy - (xhat * c1 + c2)) * rstd + else: + c1 = tl.sum(xhat * wdy, axis=0) / N + dx = (wdy - xhat * c1) * rstd + if HAS_DRESIDUAL: + dres = tl.load(DRESIDUAL + cols, mask=mask, other=0).to(tl.float32) + dx += dres + # Write dx + if STORE_DRESIDUAL: + tl.store(DRESIDUAL_IN + cols, dx, mask=mask) + if HAS_DX1: + if HAS_DROPOUT: + keep_mask = ( + tl.rand(tl.load(SEEDS + M + row).to(tl.uint32), cols, n_rounds=7) + > dropout_p + ) + dx1 = tl.where(keep_mask, dx / (1.0 - dropout_p), 0.0) + else: + dx1 = dx + tl.store(DX1 + cols, dx1, mask=mask) + if HAS_DROPOUT: + keep_mask = ( + tl.rand(tl.load(SEEDS + row).to(tl.uint32), cols, n_rounds=7) + > dropout_p + ) + dx = tl.where(keep_mask, dx / (1.0 - dropout_p), 0.0) + if HAS_ROWSCALE: + rowscale = tl.load(ROWSCALE + row).to(tl.float32) + dx *= rowscale + tl.store(DX + cols, dx, mask=mask) + + X += stride_x_row + if HAS_DRESIDUAL: + DRESIDUAL += stride_dres_row + if STORE_DRESIDUAL: + DRESIDUAL_IN += stride_dres_in_row + if RECOMPUTE_OUTPUT: + Y += stride_y_row + DY += stride_dy_row + DX += stride_dx_row + if HAS_DY1: + DY1 += stride_dy1_row + if HAS_DX1: + DX1 += stride_dx1_row + tl.store(DW + row_block_id * N + cols, dw, mask=mask) + if HAS_BIAS: + tl.store(DB + row_block_id * N + cols, db, mask=mask) + if HAS_DY1: + tl.store(DW1 + row_block_id * N + cols, dw1, mask=mask) + if HAS_B1: + tl.store(DB1 + row_block_id * N + cols, db1, mask=mask) + + +def _layer_norm_bwd( + dy, + x, + weight, + bias, + eps, + mean, + rstd, + dresidual=None, + dy1=None, + weight1=None, + bias1=None, + seeds=None, + dropout_p=0.0, + rowscale=None, + has_residual=False, + has_x1=False, + is_rms_norm=False, + x_dtype=None, + recompute_output=False, +): + M, N = x.shape + assert x.stride(-1) == 1 + assert dy.stride(-1) == 1 + assert dy.shape == (M, N) + if dresidual is not None: + assert dresidual.stride(-1) == 1 + assert dresidual.shape == (M, N) + assert weight.shape == (N,) + assert weight.stride(-1) == 1 + if bias is not None: + assert bias.stride(-1) == 1 + assert bias.shape == (N,) + if dy1 is not None: + assert weight1 is not None + assert dy1.shape == dy.shape + assert dy1.stride(-1) == 1 + if weight1 is not None: + assert weight1.shape == (N,) + assert weight1.stride(-1) == 1 + if bias1 is not None: + assert bias1.shape == (N,) + assert bias1.stride(-1) == 1 + if seeds is not None: + assert seeds.is_contiguous() + assert seeds.shape == (M if not has_x1 else M * 2,) + if rowscale is not None: + assert rowscale.is_contiguous() + assert rowscale.shape == (M,) + # allocate output + dx = ( + torch.empty_like(x) + if x_dtype is None + else torch.empty(M, N, dtype=x_dtype, device=x.device) + ) + dresidual_in = ( + torch.empty_like(x) + if has_residual + and (dx.dtype != x.dtype or dropout_p > 0.0 or rowscale is not None or has_x1) + else None + ) + dx1 = torch.empty_like(dx) if (has_x1 and dropout_p > 0.0) else None + y = ( + torch.empty(M, N, dtype=dy.dtype, device=dy.device) + if recompute_output + else None + ) + if recompute_output: + assert ( + weight1 is None + ), "recompute_output is not supported with parallel LayerNorm" + + # Less than 64KB per feature: enqueue fused kernel + MAX_FUSED_SIZE = 65536 // x.element_size() + BLOCK_N = min(MAX_FUSED_SIZE, triton.next_power_of_2(N)) + if N > BLOCK_N: + raise RuntimeError("This layer norm doesn't support feature dim >= 64KB.") + sm_count = torch.cuda.get_device_properties(x.device).multi_processor_count + _dw = torch.empty((sm_count, N), dtype=torch.float32, device=weight.device) + _db = ( + torch.empty((sm_count, N), dtype=torch.float32, device=bias.device) + if bias is not None + else None + ) + _dw1 = torch.empty_like(_dw) if weight1 is not None else None + _db1 = torch.empty_like(_db) if bias1 is not None else None + rows_per_program = math.ceil(M / sm_count) + grid = (sm_count,) + with torch.cuda.device(x.device.index): + _layer_norm_bwd_kernel[grid]( + x, + weight, + bias, + y, + dy, + dx, + _dw, + _db, + dresidual, + weight1, + dy1, + dx1, + _dw1, + _db1, + dresidual_in, + rowscale, + seeds, + mean, + rstd, + x.stride(0), + 0 if not recompute_output else y.stride(0), + dy.stride(0), + dx.stride(0), + dresidual.stride(0) if dresidual is not None else 0, + dy1.stride(0) if dy1 is not None else 0, + dx1.stride(0) if dx1 is not None else 0, + dresidual_in.stride(0) if dresidual_in is not None else 0, + M, + N, + eps, + dropout_p, + rows_per_program, + is_rms_norm, + BLOCK_N, + dresidual is not None, + dresidual_in is not None, + bias is not None, + dropout_p > 0.0, + ) + dw = _dw.sum(0).to(weight.dtype) + db = _db.sum(0).to(bias.dtype) if bias is not None else None + dw1 = _dw1.sum(0).to(weight1.dtype) if weight1 is not None else None + db1 = _db1.sum(0).to(bias1.dtype) if bias1 is not None else None + # Don't need to compute dresidual_in separately in this case + if has_residual and dx.dtype == x.dtype and dropout_p == 0.0 and rowscale is None: + dresidual_in = dx + if has_x1 and dropout_p == 0.0: + dx1 = dx + return ( + (dx, dw, db, dresidual_in, dx1, dw1, db1) + if not recompute_output + else (dx, dw, db, dresidual_in, dx1, dw1, db1, y) + ) + + +class LayerNormFn(torch.autograd.Function): + @staticmethod + def forward( + ctx, + x, + weight, + bias, + residual=None, + x1=None, + weight1=None, + bias1=None, + eps=1e-6, + dropout_p=0.0, + rowscale=None, + prenorm=False, + residual_in_fp32=False, + is_rms_norm=False, + return_dropout_mask=False, + ): + x_shape_og = x.shape + # reshape input data into 2D tensor + x = x.reshape(-1, x.shape[-1]) + if x.stride(-1) != 1: + x = x.contiguous() + if residual is not None: + assert residual.shape == x_shape_og + residual = residual.reshape(-1, residual.shape[-1]) + if residual.stride(-1) != 1: + residual = residual.contiguous() + if x1 is not None: + assert x1.shape == x_shape_og + assert rowscale is None, "rowscale is not supported with parallel LayerNorm" + x1 = x1.reshape(-1, x1.shape[-1]) + if x1.stride(-1) != 1: + x1 = x1.contiguous() + weight = weight.contiguous() + if bias is not None: + bias = bias.contiguous() + if weight1 is not None: + weight1 = weight1.contiguous() + if bias1 is not None: + bias1 = bias1.contiguous() + if rowscale is not None: + rowscale = rowscale.reshape(-1).contiguous() + residual_dtype = ( + residual.dtype + if residual is not None + else (torch.float32 if residual_in_fp32 else None) + ) + y, y1, mean, rstd, residual_out, seeds, dropout_mask, dropout_mask1 = ( + _layer_norm_fwd( + x, + weight, + bias, + eps, + residual, + x1, + weight1, + bias1, + dropout_p=dropout_p, + rowscale=rowscale, + residual_dtype=residual_dtype, + is_rms_norm=is_rms_norm, + return_dropout_mask=return_dropout_mask, + ) + ) + ctx.save_for_backward( + residual_out, weight, bias, weight1, bias1, rowscale, seeds, mean, rstd + ) + ctx.x_shape_og = x_shape_og + ctx.eps = eps + ctx.dropout_p = dropout_p + ctx.is_rms_norm = is_rms_norm + ctx.has_residual = residual is not None + ctx.has_x1 = x1 is not None + ctx.prenorm = prenorm + ctx.x_dtype = x.dtype + y = y.reshape(x_shape_og) + y1 = y1.reshape(x_shape_og) if y1 is not None else None + residual_out = ( + residual_out.reshape(x_shape_og) if residual_out is not None else None + ) + dropout_mask = ( + dropout_mask.reshape(x_shape_og) if dropout_mask is not None else None + ) + dropout_mask1 = ( + dropout_mask1.reshape(x_shape_og) if dropout_mask1 is not None else None + ) + if not return_dropout_mask: + if weight1 is None: + return y if not prenorm else (y, residual_out) + else: + return (y, y1) if not prenorm else (y, y1, residual_out) + else: + if weight1 is None: + return ( + (y, dropout_mask, dropout_mask1) + if not prenorm + else (y, residual_out, dropout_mask, dropout_mask1) + ) + else: + return ( + (y, y1, dropout_mask, dropout_mask1) + if not prenorm + else (y, y1, residual_out, dropout_mask, dropout_mask1) + ) + + @staticmethod + def backward(ctx, dy, *args): + x, weight, bias, weight1, bias1, rowscale, seeds, mean, rstd = ctx.saved_tensors + dy = dy.reshape(-1, dy.shape[-1]) + if dy.stride(-1) != 1: + dy = dy.contiguous() + assert dy.shape == x.shape + if weight1 is not None: + dy1, args = args[0], args[1:] + dy1 = dy1.reshape(-1, dy1.shape[-1]) + if dy1.stride(-1) != 1: + dy1 = dy1.contiguous() + assert dy1.shape == x.shape + else: + dy1 = None + if ctx.prenorm: + dresidual = args[0] + dresidual = dresidual.reshape(-1, dresidual.shape[-1]) + if dresidual.stride(-1) != 1: + dresidual = dresidual.contiguous() + assert dresidual.shape == x.shape + else: + dresidual = None + dx, dw, db, dresidual_in, dx1, dw1, db1 = _layer_norm_bwd( + dy, + x, + weight, + bias, + ctx.eps, + mean, + rstd, + dresidual, + dy1, + weight1, + bias1, + seeds, + ctx.dropout_p, + rowscale, + ctx.has_residual, + ctx.has_x1, + ctx.is_rms_norm, + x_dtype=ctx.x_dtype, + ) + return ( + dx.reshape(ctx.x_shape_og), + dw, + db, + dresidual_in.reshape(ctx.x_shape_og) if ctx.has_residual else None, + dx1.reshape(ctx.x_shape_og) if dx1 is not None else None, + dw1, + db1, + None, + None, + None, + None, + None, + None, + None, + ) + + +def layer_norm_fn( + x, + weight, + bias, + residual=None, + x1=None, + weight1=None, + bias1=None, + eps=1e-6, + dropout_p=0.0, + rowscale=None, + prenorm=False, + residual_in_fp32=False, + is_rms_norm=False, + return_dropout_mask=False, +): + return LayerNormFn.apply( + x, + weight, + bias, + residual, + x1, + weight1, + bias1, + eps, + dropout_p, + rowscale, + prenorm, + residual_in_fp32, + is_rms_norm, + return_dropout_mask, + ) + + +def rms_norm_fn( + x, + weight, + bias, + residual=None, + x1=None, + weight1=None, + bias1=None, + eps=1e-6, + dropout_p=0.0, + rowscale=None, + prenorm=False, + residual_in_fp32=False, + return_dropout_mask=False, +): + return LayerNormFn.apply( + x, + weight, + bias, + residual, + x1, + weight1, + bias1, + eps, + dropout_p, + rowscale, + prenorm, + residual_in_fp32, + True, + return_dropout_mask, + ) + + +class RMSNorm(torch.nn.Module): + + def __init__(self, hidden_size, eps=1e-5, dropout_p=0.0, device=None, dtype=None): + factory_kwargs = {"device": device, "dtype": dtype} + super().__init__() + self.eps = eps + if dropout_p > 0.0: + self.drop = torch.nn.Dropout(dropout_p) + else: + self.drop = None + self.weight = torch.nn.Parameter(torch.empty(hidden_size, **factory_kwargs)) + self.register_parameter("bias", None) + self.reset_parameters() + + def reset_parameters(self): + torch.nn.init.ones_(self.weight) + + def forward(self, x, residual=None, prenorm=False, residual_in_fp32=False): + return rms_norm_fn( + x, + self.weight, + self.bias, + residual=residual, + eps=self.eps, + dropout_p=self.drop.p if self.drop is not None and self.training else 0.0, + prenorm=prenorm, + residual_in_fp32=residual_in_fp32, + ) + + +class LayerNormLinearFn(torch.autograd.Function): + @staticmethod + @custom_fwd + def forward( + ctx, + x, + norm_weight, + norm_bias, + linear_weight, + linear_bias, + residual=None, + eps=1e-6, + prenorm=False, + residual_in_fp32=False, + is_rms_norm=False, + ): + x_shape_og = x.shape + # reshape input data into 2D tensor + x = x.reshape(-1, x.shape[-1]) + if x.stride(-1) != 1: + x = x.contiguous() + if residual is not None: + assert residual.shape == x_shape_og + residual = residual.reshape(-1, residual.shape[-1]) + if residual.stride(-1) != 1: + residual = residual.contiguous() + norm_weight = norm_weight.contiguous() + if norm_bias is not None: + norm_bias = norm_bias.contiguous() + residual_dtype = ( + residual.dtype + if residual is not None + else (torch.float32 if residual_in_fp32 else None) + ) + y, _, mean, rstd, residual_out, *rest = _layer_norm_fwd( + x, + norm_weight, + norm_bias, + eps, + residual, + out_dtype=( + None + if not torch.is_autocast_enabled() + else torch.get_autocast_gpu_dtype() + ), + residual_dtype=residual_dtype, + is_rms_norm=is_rms_norm, + ) + y = y.reshape(x_shape_og) + dtype = ( + torch.get_autocast_gpu_dtype() if torch.is_autocast_enabled() else y.dtype + ) + linear_weight = linear_weight.to(dtype) + linear_bias = linear_bias.to(dtype) if linear_bias is not None else None + out = F.linear(y.to(linear_weight.dtype), linear_weight, linear_bias) + # We don't store y, will be recomputed in the backward pass to save memory + ctx.save_for_backward( + residual_out, norm_weight, norm_bias, linear_weight, mean, rstd + ) + ctx.x_shape_og = x_shape_og + ctx.eps = eps + ctx.is_rms_norm = is_rms_norm + ctx.has_residual = residual is not None + ctx.prenorm = prenorm + ctx.x_dtype = x.dtype + ctx.linear_bias_is_none = linear_bias is None + return out if not prenorm else (out, residual_out.reshape(x_shape_og)) + + @staticmethod + @custom_bwd + def backward(ctx, dout, *args): + x, norm_weight, norm_bias, linear_weight, mean, rstd = ctx.saved_tensors + dout = dout.reshape(-1, dout.shape[-1]) + dy = F.linear(dout, linear_weight.t()) + dlinear_bias = None if ctx.linear_bias_is_none else dout.sum(0) + if dy.stride(-1) != 1: + dy = dy.contiguous() + assert dy.shape == x.shape + if ctx.prenorm: + dresidual = args[0] + dresidual = dresidual.reshape(-1, dresidual.shape[-1]) + if dresidual.stride(-1) != 1: + dresidual = dresidual.contiguous() + assert dresidual.shape == x.shape + else: + dresidual = None + dx, dnorm_weight, dnorm_bias, dresidual_in, _, _, _, y = _layer_norm_bwd( + dy, + x, + norm_weight, + norm_bias, + ctx.eps, + mean, + rstd, + dresidual=dresidual, + has_residual=ctx.has_residual, + is_rms_norm=ctx.is_rms_norm, + x_dtype=ctx.x_dtype, + recompute_output=True, + ) + dlinear_weight = torch.einsum("bo,bi->oi", dout, y) + return ( + dx.reshape(ctx.x_shape_og), + dnorm_weight, + dnorm_bias, + dlinear_weight, + dlinear_bias, + dresidual_in.reshape(ctx.x_shape_og) if ctx.has_residual else None, + None, + None, + None, + None, + ) + + +def layer_norm_linear_fn( + x, + norm_weight, + norm_bias, + linear_weight, + linear_bias, + residual=None, + eps=1e-6, + prenorm=False, + residual_in_fp32=False, + is_rms_norm=False, +): + return LayerNormLinearFn.apply( + x, + norm_weight, + norm_bias, + linear_weight, + linear_bias, + residual, + eps, + prenorm, + residual_in_fp32, + is_rms_norm, + ) diff --git a/torch-ext/mamba_ssm/ops/triton/layernorm_gated.py b/torch-ext/mamba_ssm/ops/triton/layernorm_gated.py new file mode 100644 index 0000000000000000000000000000000000000000..de4b2f4815f6fa9d80291491e3826251f50ff5ad --- /dev/null +++ b/torch-ext/mamba_ssm/ops/triton/layernorm_gated.py @@ -0,0 +1,437 @@ +# Copyright (c) 2024, Tri Dao. +# Based on the Triton LayerNorm tutorial: https://triton-lang.org/main/getting-started/tutorials/05-layer-norm.html +# For the backward pass, we keep weight_grad and bias_grad in registers and accumulate. +# This backward pass is faster for dimensions up to 8k, but after that it's much slower due to register spilling. +# The models we train have hidden dim up to 8k anyway (e.g. Llama 70B), so this is fine. + +import math + +import torch +import torch.nn.functional as F + +import triton +import triton.language as tl + +from einops import rearrange + + +def rms_norm_ref(x, weight, bias, z=None, eps=1e-6, group_size=None, norm_before_gate=True, upcast=True): + dtype = x.dtype + N = x.shape[-1] + weight = weight.float() + bias = bias.float() if bias is not None else None + if upcast: + x = x.float() + z = z.float() if z is not None else z + if z is not None and not norm_before_gate: + x = x * F.silu(z) + if group_size is None: + rstd = 1 / torch.sqrt((x.square()).mean(dim=-1, keepdim=True) + eps) + out = (x * rstd * weight) + bias if bias is not None else (x * rstd * weight) + else: + x_group = rearrange(x, "... (g d) -> ... g d", d=group_size) + rstd = 1 / torch.sqrt((x_group.square()).mean(dim=-1, keepdim=True) + eps) + out = rearrange(x_group * rstd, "... g d -> ... (g d)") * weight + if bias is not None: + out = out + bias + if z is not None and norm_before_gate: + out *= F.silu(z) + return out.to(dtype) + + +@triton.heuristics({"HAS_BIAS": lambda args: args["B"] is not None}) +@triton.heuristics({"HAS_Z": lambda args: args["Z"] is not None}) +@triton.jit +def _layer_norm_fwd_1pass_kernel( + X, # pointer to the input + Y, # pointer to the output + W, # pointer to the weights + B, # pointer to the biases + Z, # pointer to the other branch + Mean, # pointer to the mean + Rstd, # pointer to the 1/std + stride_x_row, # how much to increase the pointer when moving by 1 row + stride_y_row, + stride_z_row, + M, # number of rows in X + N, # number of columns in X + eps, # epsilon to avoid division by zero + BLOCK_N: tl.constexpr, + HAS_BIAS: tl.constexpr, + HAS_Z: tl.constexpr, + NORM_BEFORE_GATE: tl.constexpr, + IS_RMS_NORM: tl.constexpr, +): + # Map the program id to the row of X and Y it should compute. + row = tl.program_id(0) + group = tl.program_id(1) + X += row * stride_x_row + group * N + Y += row * stride_y_row + group * N + if HAS_Z: + Z += row * stride_z_row + group * N + if not IS_RMS_NORM: + Mean += group * M + Rstd += group * M + W += group * N + if HAS_BIAS: + B += group * N + # Compute mean and variance + cols = tl.arange(0, BLOCK_N) + x = tl.load(X + cols, mask=cols < N, other=0.).to(tl.float32) + if HAS_Z and not NORM_BEFORE_GATE: + z = tl.load(Z + cols, mask=cols < N).to(tl.float32) + x *= z * tl.sigmoid(z) + if not IS_RMS_NORM: + mean = tl.sum(x, axis=0) / N + tl.store(Mean + row, mean) + xbar = tl.where(cols < N, x - mean, 0.) + var = tl.sum(xbar * xbar, axis=0) / N + else: + xbar = tl.where(cols < N, x, 0.) + var = tl.sum(xbar * xbar, axis=0) / N + rstd = 1 / tl.sqrt(var + eps) + tl.store(Rstd + row, rstd) + # Normalize and apply linear transformation + mask = cols < N + w = tl.load(W + cols, mask=mask).to(tl.float32) + if HAS_BIAS: + b = tl.load(B + cols, mask=mask).to(tl.float32) + x_hat = (x - mean) * rstd if not IS_RMS_NORM else x * rstd + y = x_hat * w + b if HAS_BIAS else x_hat * w + if HAS_Z and NORM_BEFORE_GATE: + z = tl.load(Z + cols, mask=mask).to(tl.float32) + y *= z * tl.sigmoid(z) + # Write output + tl.store(Y + cols, y, mask=mask) + + +def _layer_norm_fwd(x, weight, bias, eps, z=None, out=None, group_size=None, norm_before_gate=True, is_rms_norm=False): + M, N = x.shape + if group_size is None: + group_size = N + assert N % group_size == 0 + ngroups = N // group_size + assert x.stride(-1) == 1 + if z is not None: + assert z.stride(-1) == 1 + assert z.shape == (M, N) + assert weight.shape == (N,) + assert weight.stride(-1) == 1 + if bias is not None: + assert bias.stride(-1) == 1 + assert bias.shape == (N,) + # allocate output + if out is not None: + assert out.shape == x.shape + else: + out = torch.empty_like(x) + assert out.stride(-1) == 1 + mean = torch.empty((ngroups * M, ), dtype=torch.float32, device=x.device) if not is_rms_norm else None + rstd = torch.empty((ngroups * M, ), dtype=torch.float32, device=x.device) + # Less than 64KB per feature: enqueue fused kernel + MAX_FUSED_SIZE = 65536 // x.element_size() + BLOCK_N = min(MAX_FUSED_SIZE, triton.next_power_of_2(group_size)) + if group_size > BLOCK_N: + raise RuntimeError("This layer norm doesn't support feature dim >= 64KB.") + # heuristics for number of warps + num_warps = min(max(BLOCK_N // 256, 1), 8) + grid = (M, ngroups) + with torch.cuda.device(x.device.index): + _layer_norm_fwd_1pass_kernel[grid](x, out, weight, bias, z, mean, rstd, + x.stride(0), out.stride(0), z.stride(0) if z is not None else 0, + M, group_size, eps, + BLOCK_N=BLOCK_N, + NORM_BEFORE_GATE=norm_before_gate, + IS_RMS_NORM=is_rms_norm, + num_warps=num_warps) + return out, mean, rstd + + + +@triton.heuristics({"HAS_BIAS": lambda args: args["B"] is not None}) +@triton.heuristics({"HAS_Z": lambda args: args["Z"] is not None}) +@triton.heuristics({"RECOMPUTE_OUTPUT": lambda args: args["Y"] is not None}) +@triton.jit +def _layer_norm_bwd_kernel( + X, # pointer to the input + W, # pointer to the weights + B, # pointer to the biases + Z, # pointer to the other branch + Y, # pointer to the output to be recomputed + DY, # pointer to the output gradient + DX, # pointer to the input gradient + DW, # pointer to the partial sum of weights gradient + DB, # pointer to the partial sum of biases gradient + DZ, # pointer to the other branch + Mean, # pointer to the mean + Rstd, # pointer to the 1/std + stride_x_row, # how much to increase the pointer when moving by 1 row + stride_z_row, + stride_y_row, + stride_dy_row, + stride_dx_row, + stride_dz_row, + stride_dw_row, + stride_db_row, + M, # number of rows in X + N, # number of columns in X + eps, # epsilon to avoid division by zero + rows_per_program, + NORM_BEFORE_GATE: tl.constexpr, + IS_RMS_NORM: tl.constexpr, + HAS_BIAS: tl.constexpr, + HAS_Z: tl.constexpr, + RECOMPUTE_OUTPUT: tl.constexpr, + BLOCK_N: tl.constexpr, +): + # Map the program id to the elements of X, DX, and DY it should compute. + row_block_id = tl.program_id(0) + group = tl.program_id(1) + row_start = row_block_id * rows_per_program + cols = tl.arange(0, BLOCK_N) + mask = cols < N + X += row_start * stride_x_row + group * N + if HAS_Z: + Z += row_start * stride_z_row + group * N + DZ += row_start * stride_dz_row + group * N + DY += row_start * stride_dy_row + group * N + DX += row_start * stride_dx_row + group * N + if RECOMPUTE_OUTPUT: + Y += row_start * stride_y_row + group * N + if not IS_RMS_NORM: + Mean += group * M + Rstd += group * M + W += group * N + w = tl.load(W + cols, mask=mask).to(tl.float32) + if (RECOMPUTE_OUTPUT or HAS_Z) and HAS_BIAS: + B += group * N + b = tl.load(B + cols, mask=mask, other=0.).to(tl.float32) + dw = tl.zeros((BLOCK_N,), dtype=tl.float32) + if HAS_BIAS: + db = tl.zeros((BLOCK_N,), dtype=tl.float32) + row_end = min((row_block_id + 1) * rows_per_program, M) + for row in range(row_start, row_end): + # Load data to SRAM + x = tl.load(X + cols, mask=mask, other=0).to(tl.float32) + dy = tl.load(DY + cols, mask=mask, other=0).to(tl.float32) + if not IS_RMS_NORM: + mean = tl.load(Mean + row) + if HAS_Z and not NORM_BEFORE_GATE: + z = tl.load(Z + cols, mask=mask, other=0.).to(tl.float32) + x_og = x + x = x_og * z * tl.sigmoid(z) + rstd = tl.load(Rstd + row) + # Compute dx + xhat = (x - mean) * rstd if not IS_RMS_NORM else x * rstd + xhat = tl.where(mask, xhat, 0.) + if HAS_Z and NORM_BEFORE_GATE: + z = tl.load(Z + cols, mask=mask, other=0.).to(tl.float32) + z_sigmoid = tl.sigmoid(z) + y = xhat * w + b if HAS_BIAS else xhat * w + if RECOMPUTE_OUTPUT: + tl.store(Y + cols, y * z * z_sigmoid, mask=mask) + dz = dy * y * z_sigmoid * (1 + z * (1 - z_sigmoid)) + tl.store(DZ + cols, dz, mask=mask) + dy *= z * z_sigmoid + else: + if RECOMPUTE_OUTPUT: + y = xhat * w + b if HAS_BIAS else xhat * w + tl.store(Y + cols, y, mask=mask) + wdy = w * dy + c1 = tl.sum(xhat * wdy, axis=0) / N + if not IS_RMS_NORM: + c2 = tl.sum(wdy, axis=0) / N + dx = (wdy - (xhat * c1 + c2)) * rstd + else: + dx = (wdy - xhat * c1) * rstd + dw += dy * xhat + if HAS_BIAS: + db += dy + if HAS_Z and not NORM_BEFORE_GATE: + z_sigmoid = tl.sigmoid(z) + dz = dx * x_og * z_sigmoid * (1 + z * (1 - z_sigmoid)) + tl.store(DZ + cols, dz, mask=mask) + dx *= z * z_sigmoid + # Write dx + tl.store(DX + cols, dx, mask=mask) + + X += stride_x_row + if HAS_Z: + Z += stride_z_row + DZ += stride_dz_row + if RECOMPUTE_OUTPUT: + Y += stride_y_row + DY += stride_dy_row + DX += stride_dx_row + tl.store(DW + row_block_id * stride_dw_row + group * N + cols, dw, mask=mask) + if HAS_BIAS: + tl.store(DB + row_block_id * stride_db_row + group * N + cols, db, mask=mask) + + +def _layer_norm_bwd(dy, x, weight, bias, eps, mean, rstd, z=None, group_size=None, + norm_before_gate=True, is_rms_norm=False, recompute_output=False, dz=None, out=None): + M, N = x.shape + if group_size is None: + group_size = N + assert N % group_size == 0 + ngroups = N // group_size + assert x.stride(-1) == 1 + assert dy.stride(-1) == 1 + assert dy.shape == (M, N) + if z is not None: + assert z.stride(-1) == 1 + assert z.shape == (M, N) + assert weight.shape == (N,) + assert weight.stride(-1) == 1 + if bias is not None: + assert bias.stride(-1) == 1 + assert bias.shape == (N,) + # allocate output + dx = torch.empty_like(x) + if dz is not None: + assert z is not None + assert dz.shape == z.shape + assert dz.stride(-1) == 1 + else: + dz = torch.empty_like(z) if z is not None else None + if recompute_output: + if out is None: + out = torch.empty_like(x) + assert out.shape == x.shape + + # Less than 64KB per feature: enqueue fused kernel + MAX_FUSED_SIZE = 65536 // x.element_size() + BLOCK_N = min(MAX_FUSED_SIZE, triton.next_power_of_2(group_size)) + if group_size > BLOCK_N: + raise RuntimeError("This layer norm doesn't support feature dim >= 64KB.") + # heuristics for number of warps + num_warps = min(max(BLOCK_N // 256, 1), 8) + sm_count = torch.cuda.get_device_properties(x.device).multi_processor_count + # If group size is small (e.g., 64), we're only using 1 warp. So having just 108 programs + # would limit the occupancy. + nrow_groups = math.ceil(sm_count * math.ceil(4 / num_warps) / ngroups) + _dw = torch.empty((nrow_groups, N), dtype=torch.float32, device=weight.device) + _db = torch.empty((nrow_groups, N), dtype=torch.float32, device=bias.device) if bias is not None else None + rows_per_program = math.ceil(M / nrow_groups) + grid = (nrow_groups, ngroups) + with torch.cuda.device(x.device.index): + _layer_norm_bwd_kernel[grid](x, weight, bias, z, out if recompute_output else None, + dy, dx, _dw, _db, dz, mean, rstd, + x.stride(0), + z.stride(0) if z is not None else 0, + 0 if not recompute_output else out.stride(0), + dy.stride(0), dx.stride(0), + dz.stride(0) if dz is not None else 0, + _dw.stride(0), + _db.stride(0) if _db is not None else 0, + M, group_size, eps, + rows_per_program, + BLOCK_N=BLOCK_N, + NORM_BEFORE_GATE=norm_before_gate, + IS_RMS_NORM=is_rms_norm, + num_warps=num_warps) + dw = _dw.sum(0).to(weight.dtype) + db = _db.sum(0).to(bias.dtype) if bias is not None else None + return (dx, dw, db, dz) if not recompute_output else (dx, dw, db, dz, out) + + +class LayerNormFn(torch.autograd.Function): + + @staticmethod + def forward(ctx, x, weight, bias, z=None, eps=1e-6, group_size=None, norm_before_gate=True, + is_rms_norm=False): + """If z is not None, we do norm(x) * silu(z) if norm_before_gate, else norm(x * silu(z)) + """ + + x_shape_og = x.shape + # reshape input data into 2D tensor + x = x.reshape(-1, x.shape[-1]) + if x.stride(-1) != 1: + x = x.contiguous() + if z is not None: + assert z.shape == x_shape_og + z = z.reshape(-1, z.shape[-1]) + if z.stride(-1) != 1: + z = z.contiguous() + weight = weight.contiguous() + if bias is not None: + bias = bias.contiguous() + y, mean, rstd = _layer_norm_fwd(x, weight, bias, eps, z=z, group_size=group_size, norm_before_gate=norm_before_gate, is_rms_norm=is_rms_norm) + ctx.save_for_backward(x, weight, bias, mean, rstd, z) + ctx.x_shape_og = x_shape_og + ctx.eps = eps + ctx.group_size = group_size + ctx.norm_before_gate = norm_before_gate + ctx.is_rms_norm = is_rms_norm + return y.reshape(x_shape_og) + + @staticmethod + def backward(ctx, dy): + x, weight, bias, mean, rstd, z = ctx.saved_tensors + dy = dy.reshape(-1, dy.shape[-1]) + if dy.stride(-1) != 1: + dy = dy.contiguous() + assert dy.shape == x.shape + dx, dw, db, dz = _layer_norm_bwd(dy, x, weight, bias, ctx.eps, mean, rstd, z, ctx.group_size, + ctx.norm_before_gate, ctx.is_rms_norm) + return dx.reshape(ctx.x_shape_og), dw, db, dz.reshape(ctx.x_shape_og) if dz is not None else None, None, None, None, None + + +def layernorm_fn(x, weight, bias, z=None, eps=1e-6, group_size=None, norm_before_gate=True, is_rms_norm=False): + return LayerNormFn.apply(x, weight, bias, z, eps, group_size, norm_before_gate, is_rms_norm) + + +def rmsnorm_fn(x, weight, bias, z=None, eps=1e-6, group_size=None, norm_before_gate=True): + return LayerNormFn.apply(x, weight, bias, z, eps, group_size, norm_before_gate, True) + + +class LayerNorm(torch.nn.Module): + + def __init__(self, hidden_size, eps=1e-5, group_size=None, norm_before_gate=True, device=None, dtype=None): + """If group_size is not None, we do GroupNorm with each group having group_size elements. + group_size=None is equivalent to group_size=hidden_size (i.e. there's only 1 group). + """ + + factory_kwargs = {"device": device, "dtype": dtype} + super().__init__() + self.eps = eps + self.weight = torch.nn.Parameter(torch.empty(hidden_size, **factory_kwargs)) + self.bias = torch.nn.Parameter(torch.empty(hidden_size, **factory_kwargs)) + self.group_size = group_size + self.norm_before_gate = norm_before_gate + self.reset_parameters() + + def reset_parameters(self): + torch.nn.init.ones_(self.weight) + torch.nn.init.zeros_(self.bias) + + def forward(self, x, z=None): + """If z is not None, we do norm(x) * silu(z) if norm_before_gate, else norm(x * silu(z)) + """ + return layernorm_fn(x, self.weight, self.bias, z=z, group_size=self.group_size, eps=self.eps, + norm_before_gate=self.norm_before_gate) + + +class RMSNorm(torch.nn.Module): + + def __init__(self, hidden_size, eps=1e-5, group_size=None, norm_before_gate=True, device=None, dtype=None): + """If group_size is not None, we do GroupNorm with each group having group_size elements. + group_size=None is equivalent to group_size=hidden_size (i.e. there's only 1 group). + """ + factory_kwargs = {"device": device, "dtype": dtype} + super().__init__() + self.eps = eps + self.weight = torch.nn.Parameter(torch.empty(hidden_size, **factory_kwargs)) + self.register_parameter("bias", None) + self.group_size = group_size + self.norm_before_gate = norm_before_gate + self.reset_parameters() + + def reset_parameters(self): + torch.nn.init.ones_(self.weight) + + def forward(self, x, z=None): + """If z is not None, we do norm(x) * silu(z) if norm_before_gate, else norm(x * silu(z)) + """ + return rmsnorm_fn(x, self.weight, self.bias, z=z, eps=self.eps, group_size=self.group_size, + norm_before_gate=self.norm_before_gate) diff --git a/torch-ext/mamba_ssm/ops/triton/selective_state_update.py b/torch-ext/mamba_ssm/ops/triton/selective_state_update.py new file mode 100644 index 0000000000000000000000000000000000000000..f8b5725835030ca61204d17e2d03dc6538c5d8cb --- /dev/null +++ b/torch-ext/mamba_ssm/ops/triton/selective_state_update.py @@ -0,0 +1,389 @@ +# Copyright (c) 2024, Tri Dao, Albert Gu. + +"""We want triton==2.1.0 or triton==2.2.0 or triton==2.3.0 for this +""" + +import math +import torch +import torch.nn.functional as F + +import triton +import triton.language as tl + +from einops import rearrange, repeat + +from .softplus import softplus + + +@triton.heuristics({"HAS_DT_BIAS": lambda args: args["dt_bias_ptr"] is not None}) +@triton.heuristics({"HAS_D": lambda args: args["D_ptr"] is not None}) +@triton.heuristics({"HAS_Z": lambda args: args["z_ptr"] is not None}) +@triton.heuristics( + { + "HAS_STATE_BATCH_INDICES": lambda args: args["state_batch_indices_ptr"] + is not None + } +) +@triton.heuristics( + {"BLOCK_SIZE_DSTATE": lambda args: triton.next_power_of_2(args["dstate"])} +) +@triton.jit +def _selective_scan_update_kernel( + # Pointers to matrices + state_ptr, + x_ptr, + dt_ptr, + dt_bias_ptr, + A_ptr, + B_ptr, + C_ptr, + D_ptr, + z_ptr, + out_ptr, + state_batch_indices_ptr, + # Matrix dimensions + batch, + nheads, + dim, + dstate, + nheads_ngroups_ratio, + # Strides + stride_state_batch, + stride_state_head, + stride_state_dim, + stride_state_dstate, + stride_x_batch, + stride_x_head, + stride_x_dim, + stride_dt_batch, + stride_dt_head, + stride_dt_dim, + stride_dt_bias_head, + stride_dt_bias_dim, + stride_A_head, + stride_A_dim, + stride_A_dstate, + stride_B_batch, + stride_B_group, + stride_B_dstate, + stride_C_batch, + stride_C_group, + stride_C_dstate, + stride_D_head, + stride_D_dim, + stride_z_batch, + stride_z_head, + stride_z_dim, + stride_out_batch, + stride_out_head, + stride_out_dim, + # Meta-parameters + DT_SOFTPLUS: tl.constexpr, + TIE_HDIM: tl.constexpr, + BLOCK_SIZE_M: tl.constexpr, + HAS_DT_BIAS: tl.constexpr, + HAS_D: tl.constexpr, + HAS_Z: tl.constexpr, + HAS_STATE_BATCH_INDICES: tl.constexpr, + BLOCK_SIZE_DSTATE: tl.constexpr, +): + pid_m = tl.program_id(axis=0) + pid_b = tl.program_id(axis=1) + pid_h = tl.program_id(axis=2) + + if HAS_STATE_BATCH_INDICES: + state_batch_indices_ptr += pid_b + state_batch_idx = tl.load(state_batch_indices_ptr) + state_ptr += state_batch_idx * stride_state_batch + pid_h * stride_state_head + else: + state_ptr += pid_b * stride_state_batch + pid_h * stride_state_head + + x_ptr += pid_b * stride_x_batch + pid_h * stride_x_head + dt_ptr += pid_b * stride_dt_batch + pid_h * stride_dt_head + if HAS_DT_BIAS: + dt_bias_ptr += pid_h * stride_dt_bias_head + A_ptr += pid_h * stride_A_head + B_ptr += pid_b * stride_B_batch + (pid_h // nheads_ngroups_ratio) * stride_B_group + C_ptr += pid_b * stride_C_batch + (pid_h // nheads_ngroups_ratio) * stride_C_group + if HAS_Z: + z_ptr += pid_b * stride_z_batch + pid_h * stride_z_head + out_ptr += pid_b * stride_out_batch + pid_h * stride_out_head + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = tl.arange(0, BLOCK_SIZE_DSTATE) + state_ptrs = state_ptr + ( + offs_m[:, None] * stride_state_dim + offs_n[None, :] * stride_state_dstate + ) + x_ptrs = x_ptr + offs_m * stride_x_dim + dt_ptrs = dt_ptr + offs_m * stride_dt_dim + if HAS_DT_BIAS: + dt_bias_ptrs = dt_bias_ptr + offs_m * stride_dt_bias_dim + if HAS_D: + D_ptr += pid_h * stride_D_head + A_ptrs = A_ptr + ( + offs_m[:, None] * stride_A_dim + offs_n[None, :] * stride_A_dstate + ) + B_ptrs = B_ptr + offs_n * stride_B_dstate + C_ptrs = C_ptr + offs_n * stride_C_dstate + if HAS_D: + D_ptrs = D_ptr + offs_m * stride_D_dim + if HAS_Z: + z_ptrs = z_ptr + offs_m * stride_z_dim + out_ptrs = out_ptr + offs_m * stride_out_dim + + state = tl.load( + state_ptrs, mask=(offs_m[:, None] < dim) & (offs_n[None, :] < dstate), other=0.0 + ) + x = tl.load(x_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32) + if not TIE_HDIM: + dt = tl.load(dt_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32) + if HAS_DT_BIAS: + dt += tl.load(dt_bias_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32) + if DT_SOFTPLUS: + dt = tl.where(dt <= 20.0, softplus(dt), dt) + A = tl.load( + A_ptrs, mask=(offs_m[:, None] < dim) & (offs_n[None, :] < dstate), other=0.0 + ).to(tl.float32) + dA = tl.exp(A * dt[:, None]) + else: + dt = tl.load(dt_ptr).to(tl.float32) + if HAS_DT_BIAS: + dt += tl.load(dt_bias_ptr).to(tl.float32) + if DT_SOFTPLUS: + dt = tl.where(dt <= 20.0, softplus(dt), dt) + A = tl.load(A_ptr).to(tl.float32) + dA = tl.exp(A * dt) # scalar, not a matrix + + B = tl.load(B_ptrs, mask=offs_n < dstate, other=0.0).to(tl.float32) + C = tl.load(C_ptrs, mask=offs_n < dstate, other=0.0).to(tl.float32) + if HAS_D: + D = tl.load(D_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32) + if HAS_Z: + z = tl.load(z_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32) + + if not TIE_HDIM: + dB = B[None, :] * dt[:, None] + else: + dB = B * dt # vector of size (dstate,) + state = state * dA + dB * x[:, None] + tl.store( + state_ptrs, state, mask=(offs_m[:, None] < dim) & (offs_n[None, :] < dstate) + ) + out = tl.sum(state * C[None, :], axis=1) + if HAS_D: + out += x * D + if HAS_Z: + out *= z * tl.sigmoid(z) + tl.store(out_ptrs, out, mask=offs_m < dim) + + +def selective_state_update( + state, + x, + dt, + A, + B, + C, + D=None, + z=None, + dt_bias=None, + dt_softplus=False, + state_batch_indices=None, +): + """ + Argument: + state: (batch, dim, dstate) or (batch, nheads, dim, dstate) + x: (batch, dim) or (batch, nheads, dim) + dt: (batch, dim) or (batch, nheads, dim) + A: (dim, dstate) or (nheads, dim, dstate) + B: (batch, dstate) or (batch, ngroups, dstate) + C: (batch, dstate) or (batch, ngroups, dstate) + D: (dim,) or (nheads, dim) + z: (batch, dim) or (batch, nheads, dim) + dt_bias: (dim,) or (nheads, dim) + Return: + out: (batch, dim) or (batch, nheads, dim) + """ + has_heads = state.dim() > 3 + if state.dim() == 3: + state = state.unsqueeze(1) + if x.dim() == 2: + x = x.unsqueeze(1) + if dt.dim() == 2: + dt = dt.unsqueeze(1) + if A.dim() == 2: + A = A.unsqueeze(0) + if B.dim() == 2: + B = B.unsqueeze(1) + if C.dim() == 2: + C = C.unsqueeze(1) + if D is not None and D.dim() == 1: + D = D.unsqueeze(0) + if z is not None and z.dim() == 2: + z = z.unsqueeze(1) + if dt_bias is not None and dt_bias.dim() == 1: + dt_bias = dt_bias.unsqueeze(0) + _, nheads, dim, dstate = state.shape + batch = x.shape[0] + if x.shape != (batch, nheads, dim): + print(f"{state.shape} {x.shape} {batch} {nheads} {dim}") + assert x.shape == (batch, nheads, dim) + assert dt.shape == x.shape + assert A.shape == (nheads, dim, dstate) + ngroups = B.shape[1] + assert nheads % ngroups == 0, "nheads must be divisible by ngroups" + assert B.shape == (batch, ngroups, dstate) + assert C.shape == B.shape + if D is not None: + assert D.shape == (nheads, dim) + if z is not None: + assert z.shape == x.shape + if dt_bias is not None: + assert dt_bias.shape == (nheads, dim) + if state_batch_indices is not None: + assert state_batch_indices.shape == (batch,) + out = torch.empty_like(x) + grid = lambda META: (triton.cdiv(dim, META["BLOCK_SIZE_M"]), batch, nheads) + z_strides = (z.stride(0), z.stride(1), z.stride(2)) if z is not None else (0, 0, 0) + # We don't want autotune since it will overwrite the state + # We instead tune by hand. + BLOCK_SIZE_M, num_warps = ( + (32, 4) + if dstate <= 16 + else ( + (16, 4) + if dstate <= 32 + else ((8, 4) if dstate <= 64 else ((4, 4) if dstate <= 128 else ((4, 8)))) + ) + ) + tie_hdim = ( + A.stride(-1) == 0 + and A.stride(-2) == 0 + and dt.stride(-1) == 0 + and dt_bias.stride(-1) == 0 + ) + with torch.cuda.device(x.device.index): + _selective_scan_update_kernel[grid]( + state, + x, + dt, + dt_bias, + A, + B, + C, + D, + z, + out, + state_batch_indices, + batch, + nheads, + dim, + dstate, + nheads // ngroups, + state.stride(0), + state.stride(1), + state.stride(2), + state.stride(3), + x.stride(0), + x.stride(1), + x.stride(2), + dt.stride(0), + dt.stride(1), + dt.stride(2), + *(dt_bias.stride(0), dt_bias.stride(1)) if dt_bias is not None else 0, + A.stride(0), + A.stride(1), + A.stride(2), + B.stride(0), + B.stride(1), + B.stride(2), + C.stride(0), + C.stride(1), + C.stride(2), + *(D.stride(0), D.stride(1)) if D is not None else 0, + z_strides[0], + z_strides[1], + z_strides[2], + out.stride(0), + out.stride(1), + out.stride(2), + dt_softplus, + tie_hdim, + BLOCK_SIZE_M, + num_warps=num_warps, + ) + if not has_heads: + out = out.squeeze(1) + return out + + +def selective_state_update_ref( + state, x, dt, A, B, C, D=None, z=None, dt_bias=None, dt_softplus=False +): + """ + Argument: + state: (batch, dim, dstate) or (batch, nheads, dim, dstate) + x: (batch, dim) or (batch, nheads, dim) + dt: (batch, dim) or (batch, nheads, dim) + A: (dim, dstate) or (nheads, dim, dstate) + B: (batch, dstate) or (batch, ngroups, dstate) + C: (batch, dstate) or (batch, ngroups, dstate) + D: (dim,) or (nheads, dim) + z: (batch, dim) or (batch, nheads, dim) + dt_bias: (dim,) or (nheads, dim) + Return: + out: (batch, dim) or (batch, nheads, dim) + """ + has_heads = state.dim() > 3 + if state.dim() == 3: + state = state.unsqueeze(1) + if x.dim() == 2: + x = x.unsqueeze(1) + if dt.dim() == 2: + dt = dt.unsqueeze(1) + if A.dim() == 2: + A = A.unsqueeze(0) + if B.dim() == 2: + B = B.unsqueeze(1) + if C.dim() == 2: + C = C.unsqueeze(1) + if D is not None and D.dim() == 1: + D = D.unsqueeze(0) + if z is not None and z.dim() == 2: + z = z.unsqueeze(1) + if dt_bias is not None and dt_bias.dim() == 1: + dt_bias = dt_bias.unsqueeze(0) + batch, nheads, dim, dstate = state.shape + assert x.shape == (batch, nheads, dim) + assert dt.shape == x.shape + assert A.shape == (nheads, dim, dstate) + ngroups = B.shape[1] + assert nheads % ngroups == 0, "nheads must be divisible by ngroups" + assert B.shape == (batch, ngroups, dstate) + assert C.shape == B.shape + if D is not None: + assert D.shape == (nheads, dim) + if z is not None: + assert z.shape == x.shape + if dt_bias is not None: + assert dt_bias.shape == (nheads, dim) + dt = dt + dt_bias + dt = F.softplus(dt) if dt_softplus else dt + dA = torch.exp( + rearrange(dt, "b h d -> b h d 1") * A + ) # (batch, nheads, dim, dstate) + B = repeat(B, "b g n -> b (g h) n", h=nheads // ngroups) # (batch, nheads, dstate) + C = repeat(C, "b g n -> b (g h) n", h=nheads // ngroups) # (batch, nheads, dstate) + dB = rearrange(dt, "b h d -> b h d 1") * rearrange( + B, "b h n -> b h 1 n" + ) # (batch, nheads, dim, dstate) + state.copy_( + state * dA + dB * rearrange(x, "b h d -> b h d 1") + ) # (batch, dim, dstate + out = torch.einsum("bhdn,bhn->bhd", state.to(C.dtype), C) + if D is not None: + out += (x * D).to(out.dtype) + out = (out if z is None else out * F.silu(z)).to(x.dtype) + if not has_heads: + out = out.squeeze(1) + return out diff --git a/torch-ext/mamba_ssm/ops/triton/softplus.py b/torch-ext/mamba_ssm/ops/triton/softplus.py new file mode 100755 index 0000000000000000000000000000000000000000..5541655c6616032a484c1e567f94a65cd6e4c88b --- /dev/null +++ b/torch-ext/mamba_ssm/ops/triton/softplus.py @@ -0,0 +1,15 @@ +import triton +import triton.language as tl +from packaging import version + +TRITON3 = version.parse(triton.__version__) >= version.parse("3.0.0") + + +if TRITON3: + @triton.jit + def softplus(dt): + return tl.math.log(tl.math.exp(dt) + 1) +else: + @triton.jit + def softplus(dt): + return tl.math.log1p(tl.exp(dt)) \ No newline at end of file diff --git a/torch-ext/mamba_ssm/ops/triton/ssd_bmm.py b/torch-ext/mamba_ssm/ops/triton/ssd_bmm.py new file mode 100644 index 0000000000000000000000000000000000000000..48fd4f063e7796ceea772c21956b7bbdcbf1d196 --- /dev/null +++ b/torch-ext/mamba_ssm/ops/triton/ssd_bmm.py @@ -0,0 +1,262 @@ +# Copyright (c) 2024, Tri Dao, Albert Gu. + +"""We want triton==2.1.0 or 2.2.0 for this +""" + +import math +import torch +import torch.nn.functional as F + +import triton +import triton.language as tl + +from einops import rearrange, repeat + + +def init_to_zero(names): + return lambda nargs: [nargs[name].zero_() for name in names if nargs[name] is not None] + + +@triton.autotune( + configs=[ + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 64}, num_stages=3, num_warps=8), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=2), + triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=2), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=2), + ], + key=['chunk_size', 'K', 'IS_CAUSAL'], +) +@triton.jit +def _bmm_chunk_fwd_kernel( + # Pointers to matrices + a_ptr, b_ptr, out_ptr, seq_idx_ptr, + # Matrix dimensions + seqlen, chunk_size, K, ngroups, + stride_a_batch, stride_a_seqlen, stride_a_head, stride_ak, + stride_b_batch, stride_b_seqlen, stride_b_head, stride_bk, + stride_out_batch, stride_out_chunk, stride_out_head, stride_outm, stride_outn, + stride_seq_idx_batch, stride_seq_idx_seqlen, + # Meta-parameters + IS_CAUSAL: tl.constexpr, + dot_dtype: tl.constexpr, + HAS_SEQ_IDX: tl.constexpr, + BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr, +): + pid_b = tl.program_id(axis=1) + pid_ch = tl.program_id(axis=2) + pid_c = pid_ch // ngroups + pid_h = pid_ch - pid_c * ngroups + num_pid_n = tl.cdiv(chunk_size, BLOCK_SIZE_N) + pid_m = tl.program_id(axis=0) // num_pid_n + pid_n = tl.program_id(axis=0) % num_pid_n + if IS_CAUSAL: + if pid_n * BLOCK_SIZE_N >= (pid_m + 1) * BLOCK_SIZE_M: + return + a_ptr += pid_b * stride_a_batch + pid_c * chunk_size * stride_a_seqlen + pid_h * stride_a_head + b_ptr += pid_b * stride_b_batch + pid_c * chunk_size * stride_b_seqlen + pid_h * stride_b_head + if HAS_SEQ_IDX: + seq_idx_ptr += pid_b * stride_seq_idx_batch + pid_c * chunk_size * stride_seq_idx_seqlen + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + offs_k = tl.arange(0, BLOCK_SIZE_K) + a_ptrs = a_ptr + (offs_m[:, None] * stride_a_seqlen + offs_k[None, :] * stride_ak) + b_ptrs = b_ptr + (offs_k[:, None] * stride_bk + offs_n[None, :] * stride_b_seqlen) + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + + acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32) + for k in range(0, tl.cdiv(K, BLOCK_SIZE_K)): + a = tl.load(a_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < K - k * BLOCK_SIZE_K), other=0.0).to(dot_dtype) + b = tl.load(b_ptrs, mask=(offs_k[:, None] < K - k * BLOCK_SIZE_K) & (offs_n[None, :] < chunk_size_limit), other=0.0).to(dot_dtype) + acc += tl.dot(a, b) + a_ptrs += BLOCK_SIZE_K * stride_ak + b_ptrs += BLOCK_SIZE_K * stride_bk + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + if HAS_SEQ_IDX: + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + seq_idx_m = tl.load(seq_idx_ptr + offs_m * stride_seq_idx_seqlen, mask=offs_m < chunk_size_limit, other=-1) + seq_idx_n = tl.load(seq_idx_ptr + offs_n * stride_seq_idx_seqlen, mask=offs_n < chunk_size_limit, other=-2) + acc = tl.where(seq_idx_m[:, None] == seq_idx_n[None, :], acc, 0.0) + out = acc.to(out_ptr.dtype.element_ty) + + out_ptr += pid_b * stride_out_batch + pid_c * stride_out_chunk + pid_h * stride_out_head + out_ptrs = out_ptr + (stride_outm * offs_m[:, None] + offs_n[None, :] * stride_outn) + tl.store(out_ptrs, out, mask=(offs_m[:, None] < chunk_size) & (offs_n[None, :] < chunk_size)) + + +@triton.autotune( + configs=[ + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_CS': 64}, num_stages=3, num_warps=8), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_CS': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_CS': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_CS': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_CS': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_CS': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_CS': 32}, num_stages=5, num_warps=2), + triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_CS': 32}, num_stages=5, num_warps=2), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_CS': 32}, num_stages=4, num_warps=2), + ], + key=['chunk_size', 'K'], +) +@triton.jit +def _bmm_chunk_bwd_kernel( + # Pointers to matrices + a_ptr, dout_ptr, db_ptr, res_ptr, + # Matrix dimensions + seqlen, chunk_size, K, ngroups, + stride_a_batch, stride_a_seqlen, stride_a_head, stride_ak, + stride_dout_batch, stride_dout_chunk, stride_dout_head, stride_dout_csize_m, stride_dout_csize_n, + stride_db_batch, stride_db_seqlen, stride_db_head, stride_db_k, + stride_res_batch, stride_res_seqlen, stride_res_head, stride_res_k, + # Meta-parameters + dot_dtype: tl.constexpr, + HAS_RESIDUAL: tl.constexpr, + BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_CS: tl.constexpr, +): + pid_b = tl.program_id(axis=1) + pid_ch = tl.program_id(axis=2) + pid_c = pid_ch // ngroups + pid_h = pid_ch - pid_c * ngroups + num_pid_n = tl.cdiv(K, BLOCK_SIZE_N) + pid_m = tl.program_id(axis=0) // num_pid_n + pid_n = tl.program_id(axis=0) % num_pid_n + + a_ptr += pid_b * stride_a_batch + pid_c * chunk_size * stride_a_seqlen + pid_h * stride_a_head + dout_ptr += pid_b * stride_dout_batch + pid_c * stride_dout_chunk + pid_h * stride_dout_head + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + offs_cs = tl.arange(0, BLOCK_SIZE_CS) + dout_ptrs = dout_ptr + (offs_m[:, None] * stride_dout_csize_n + offs_cs[None, :] * stride_dout_csize_m) + a_ptrs = a_ptr + (offs_cs[:, None] * stride_a_seqlen + offs_n[None, :] * stride_ak) + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + + acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32) + for cs in range(0, tl.cdiv(chunk_size_limit, BLOCK_SIZE_CS)): + dout = tl.load(dout_ptrs, mask=(offs_m[:, None] < chunk_size) & (offs_cs[None, :] < chunk_size_limit - cs * BLOCK_SIZE_CS), other=0.0).to(dot_dtype) + a = tl.load(a_ptrs, mask=(offs_cs[:, None] < chunk_size_limit - cs * BLOCK_SIZE_CS) & (offs_n[None, :] < K), other=0.0).to(dot_dtype) + acc += tl.dot(dout, a) + dout_ptrs += BLOCK_SIZE_CS * stride_dout_csize_m + a_ptrs += BLOCK_SIZE_CS * stride_a_seqlen + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + if HAS_RESIDUAL: + res_ptr += pid_b * stride_res_batch + pid_c * chunk_size * stride_res_seqlen + pid_h * stride_res_head + res_ptrs = res_ptr + (offs_m[:, None] * stride_res_seqlen + offs_n[None, :] * stride_res_k) + res = tl.load(res_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < K)).to(tl.float32) + acc += res + db = acc.to(db_ptr.dtype.element_ty) + + db_ptr += pid_b * stride_db_batch + pid_c * chunk_size * stride_db_seqlen + pid_h * stride_db_head + db_ptrs = db_ptr + (offs_m[:, None] * stride_db_seqlen + offs_n[None, :] * stride_db_k) + tl.store(db_ptrs, db, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < K)) + + +def _bmm_chunk_fwd(a, b, chunk_size, seq_idx=None, causal=False, output_dtype=None): + """ + Argument: + a: (batch, seqlen, k) or (batch, seqlen, ngroups, k) + b: (batch, seqlen, k) or (batch, seqlen, ngroups, k) + seq_idx: (batch, seqlen) or None. out[i, j] for seq_idx[i] != seq_idx[j] will be zeroed out. + causal: if True, then out[i, j] for i > j will be arbitrary, only out[i, j] for i <= j are + guaranteed to be correct. + Return: + out: (batch, nchunks, chunk_size, chunk_size) or (batch, nchunks, ngroups, chunk_size, chunk_size) + """ + # Check constraints. + has_groups = a.dim() == 4 + if not has_groups: + batch, seqlen, k = a.shape + else: + batch, seqlen, ngroups, k = a.shape + assert b.shape == a.shape + if seq_idx is not None: + assert seq_idx.shape == (batch, seqlen) + if a.stride(-1) != 1 and a.stride(1) != 1: + a = a.contiguous() + if b.stride(-1) != 1 and b.stride(1) != 1: + b = b.contiguous() + nchunks = math.ceil(seqlen / chunk_size) + # Allocates output. + out_dtype = a.dtype if output_dtype is None else output_dtype + out = torch.empty((batch, nchunks, chunk_size, chunk_size) if not has_groups else (batch, nchunks, ngroups, chunk_size, chunk_size), + device=a.device, dtype=out_dtype) + dot_dtype = (tl.bfloat16 if a.dtype == torch.bfloat16 or b.dtype == torch.bfloat16 else + (tl.float16 if a.dtype == torch.float16 or b.dtype == torch.float16 else tl.float32)) + grid = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']) * triton.cdiv(chunk_size, META['BLOCK_SIZE_N']), + batch, nchunks if not has_groups else nchunks * ngroups) + with torch.cuda.device(a.device.index): + _bmm_chunk_fwd_kernel[grid]( + a, b, out, seq_idx, + seqlen, chunk_size, k, ngroups if has_groups else 1, + a.stride(0), a.stride(1), 0 if not has_groups else a.stride(2), a.stride(-1), + b.stride(0), b.stride(1), 0 if not has_groups else b.stride(2), b.stride(-1), + out.stride(0), out.stride(1), 0 if not has_groups else out.stride(2), out.stride(-2), out.stride(-1), + *((seq_idx.stride(0), seq_idx.stride(1)) if seq_idx is not None else (0, 0)), + causal, + dot_dtype, + HAS_SEQ_IDX=seq_idx is not None, + ) + return out + + +def _bmm_chunk_bwd(a, dout, residual=None, out=None): + """ + Argument: + a: (batch, seqlen, k) or (batch, seqlen, ngroups, k) + dout: (batch, nchunks, chunk_size, chunk_size) or (batch, nchunks, ngroups, chunk_size, chunk_size) + residual: (batch, seqlen, k) or (batch, seqlen, ngroups, k) + Return: + out: (batch, seqlen, k) or (batch, seqlen, ngroups, k) + + If there was seq_idx in the fwd pass, then dout[i, j] for seq_idx[i] != seq_idx[j] should already be + zeroed out before calling this function. + """ + # Check constraints. + has_groups = a.dim() == 4 + if not has_groups: + batch, seqlen, k = a.shape + else: + batch, seqlen, ngroups, k = a.shape + nchunks, chunk_size = dout.shape[1], dout.shape[-1] + if a.stride(-1) != 1 and a.stride(-2) != 1: + a = a.contiguous() + if dout.stride(-1) != 1 and dout.stride(-2) != 1: + dout = dout.contiguous() + if residual is not None: + assert residual.shape == (batch, seqlen, k) if not has_groups else (batch, seqlen, ngroups, k) + if residual.stride(-1) != 1 and residual.stride(1) != 1: + residual = residual.contiguous() + # Allocates output. + if out is not None: + assert out.shape == a.shape + assert out.stride(-1) == 1 or out.stride(1) == 1 + else: + out = torch.empty_like(a) + dot_dtype = (tl.bfloat16 if a.dtype == torch.bfloat16 or dout.dtype == torch.bfloat16 else + (tl.float16 if a.dtype == torch.float16 or dout.dtype == torch.float16 else tl.float32)) + grid = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']) * triton.cdiv(k, META['BLOCK_SIZE_N']), batch, + nchunks if not has_groups else nchunks * ngroups) + residual_strides = ((residual.stride(0), residual.stride(1), 0 if not has_groups else residual.stride(2), + residual.stride(-1)) + if residual is not None else (0, 0, 0, 0)) + with torch.cuda.device(a.device.index): + _bmm_chunk_bwd_kernel[grid]( + a, dout, out, residual, + seqlen, chunk_size, k, ngroups if has_groups else 1, + a.stride(0), a.stride(1), 0 if not has_groups else a.stride(2), a.stride(-1), + dout.stride(0), dout.stride(1), 0 if not has_groups else dout.stride(2), dout.stride(-2), dout.stride(-1), + out.stride(0), out.stride(1), 0 if not has_groups else out.stride(2), out.stride(-1), + residual_strides[0], residual_strides[1], residual_strides[2], residual_strides[3], + dot_dtype, + HAS_RESIDUAL=residual is not None, + ) + return out diff --git a/torch-ext/mamba_ssm/ops/triton/ssd_chunk_scan.py b/torch-ext/mamba_ssm/ops/triton/ssd_chunk_scan.py new file mode 100644 index 0000000000000000000000000000000000000000..e77ed026907ac2e4886845291acab4cd820293ba --- /dev/null +++ b/torch-ext/mamba_ssm/ops/triton/ssd_chunk_scan.py @@ -0,0 +1,1829 @@ +# Copyright (c) 2024, Tri Dao, Albert Gu. + +"""We want triton==2.1.0 or 2.2.0 for this +""" + +import math +from packaging import version + +import torch +import torch.nn.functional as F + +import triton +import triton.language as tl + +from einops import rearrange, repeat + +from .ssd_bmm import _bmm_chunk_fwd, _bmm_chunk_bwd + +TRITON_22 = version.parse(triton.__version__) >= version.parse('2.2.0') + + +def init_to_zero(names): + return lambda nargs: [nargs[name].zero_() for name in names if nargs[name] is not None] + + +@triton.autotune( + configs=[ + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 64}, num_stages=3, num_warps=8), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 64}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 64}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=2), + triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=2), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=2), + ], + key=['chunk_size', 'hdim', 'dstate', 'IS_CAUSAL'], +) +@triton.jit +def _chunk_scan_fwd_kernel( + # Pointers to matrices + cb_ptr, x_ptr, z_ptr, out_ptr, out_x_ptr, dt_ptr, dA_cumsum_ptr, seq_idx_ptr, C_ptr, prev_states_ptr, D_ptr, + # Matrix dimensions + chunk_size, hdim, dstate, + batch, seqlen, nheads_ngroups_ratio, + # Strides + stride_cb_batch, stride_cb_chunk, stride_cb_head, stride_cb_csize_m, stride_cb_csize_k, + stride_x_batch, stride_x_seqlen, stride_x_head, stride_x_hdim, + stride_z_batch, stride_z_seqlen, stride_z_head, stride_z_hdim, + stride_out_batch, stride_out_seqlen, stride_out_head, stride_out_hdim, + stride_dt_batch, stride_dt_chunk, stride_dt_head, stride_dt_csize, + stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, stride_dA_cs_csize, + stride_seq_idx_batch, stride_seq_idx_seqlen, + stride_C_batch, stride_C_seqlen, stride_C_head, stride_C_dstate, + stride_states_batch, stride_states_chunk, stride_states_head, stride_states_hdim, stride_states_dstate, + stride_D_head, + # Meta-parameters + IS_CAUSAL: tl.constexpr, + HAS_D: tl.constexpr, + D_HAS_HDIM: tl.constexpr, + HAS_Z: tl.constexpr, + HAS_SEQ_IDX: tl.constexpr, + BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr, + BLOCK_SIZE_DSTATE: tl.constexpr, + IS_TRITON_22: tl.constexpr, +): + pid_bc = tl.program_id(axis=1) + pid_c = pid_bc // batch + pid_b = pid_bc - pid_c * batch + pid_h = tl.program_id(axis=2) + num_pid_n = tl.cdiv(hdim, BLOCK_SIZE_N) + pid_m = tl.program_id(axis=0) // num_pid_n + pid_n = tl.program_id(axis=0) % num_pid_n + cb_ptr += pid_b * stride_cb_batch + pid_c * stride_cb_chunk + (pid_h // nheads_ngroups_ratio) * stride_cb_head + x_ptr += pid_b * stride_x_batch + pid_c * chunk_size * stride_x_seqlen + pid_h * stride_x_head + dt_ptr += pid_b * stride_dt_batch + pid_c * stride_dt_chunk + pid_h * stride_dt_head + dA_cumsum_ptr += pid_b * stride_dA_cs_batch + pid_c * stride_dA_cs_chunk + pid_h * stride_dA_cs_head + C_ptr += pid_b * stride_C_batch + pid_c * chunk_size * stride_C_seqlen + (pid_h // nheads_ngroups_ratio) * stride_C_head + prev_states_ptr += pid_b * stride_states_batch + pid_c * stride_states_chunk + pid_h * stride_states_head + if HAS_SEQ_IDX: + seq_idx_ptr += pid_b * stride_seq_idx_batch + pid_c * chunk_size * stride_seq_idx_seqlen + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + dA_cs_m = tl.load(dA_cumsum_ptr + offs_m * stride_dA_cs_csize, mask=offs_m < chunk_size, other=0.0).to(tl.float32) + + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + if HAS_SEQ_IDX: + seq_idx_prev = tl.load(seq_idx_ptr - stride_seq_idx_seqlen, mask=pid_c >= 1, other=0) + seq_idx_m = tl.load(seq_idx_ptr + offs_m * stride_seq_idx_seqlen, mask=offs_m < chunk_size_limit, other=-1) + acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32) + + # Without the if (pid_c > -1), with Triton 2.1.0, I get + # Assertion `!(srcMmaLayout && dstMmaLayout) && "Unexpected mma -> mm a layout conversion"' failed. + # With Triton 2.2.0, this works + if IS_TRITON_22 or pid_c > -1: + # Faster to just do 1 iteration with larger BLOCK_SIZE_K, up to block size 128 + offs_k_dstate = tl.arange(0, BLOCK_SIZE_DSTATE if BLOCK_SIZE_DSTATE <= 128 else BLOCK_SIZE_K) + C_ptrs = C_ptr + (offs_m[:, None] * stride_C_seqlen + offs_k_dstate[None, :] * stride_C_dstate) + prev_states_ptrs = prev_states_ptr + (offs_n[None, :] * stride_states_hdim + offs_k_dstate[:, None] * stride_states_dstate) + if not HAS_SEQ_IDX: + scale_m = tl.exp(dA_cs_m) + else: + scale_m = tl.where(seq_idx_m == seq_idx_prev, tl.exp(dA_cs_m), 0.0) + if BLOCK_SIZE_DSTATE <= 128: + C = tl.load(C_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k_dstate[None, :] < dstate), other=0.0) + prev_states = tl.load(prev_states_ptrs, mask=(offs_k_dstate[:, None] < dstate) & (offs_n[None, :] < hdim), other=0.0) + prev_states = prev_states.to(C_ptr.dtype.element_ty) + acc = tl.dot(C, prev_states) * scale_m[:, None] + else: + for k in range(0, dstate, BLOCK_SIZE_K): + C = tl.load(C_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k_dstate[None, :] < dstate - k), other=0.0) + # C = (C * scale_m[:, None]).to(C_ptr.dtype.element_ty) + prev_states = tl.load(prev_states_ptrs, mask=(offs_k_dstate[:, None] < dstate - k) & (offs_n[None, :] < hdim), other=0.0) + prev_states = prev_states.to(C_ptr.dtype.element_ty) + acc += tl.dot(C, prev_states) + C_ptrs += BLOCK_SIZE_K + prev_states_ptrs += BLOCK_SIZE_K + acc *= scale_m[:, None] + + offs_k = tl.arange(0, BLOCK_SIZE_K) + cb_ptrs = cb_ptr + (offs_m[:, None] * stride_cb_csize_m + offs_k[None, :] * stride_cb_csize_k) + x_ptrs = x_ptr + (offs_k[:, None] * stride_x_seqlen + offs_n[None, :] * stride_x_hdim) + dt_ptrs = dt_ptr + offs_k * stride_dt_csize + dA_cumsum_ptrs = dA_cumsum_ptr + offs_k * stride_dA_cs_csize + K_MAX = chunk_size_limit if not IS_CAUSAL else min((pid_m + 1) * BLOCK_SIZE_M, chunk_size_limit) + for k in range(0, K_MAX, BLOCK_SIZE_K): + cb = tl.load(cb_ptrs, mask=(offs_m[:, None] < chunk_size) & (offs_k[None, :] < chunk_size - k), other=0.0).to(tl.float32) + dA_cs_k = tl.load(dA_cumsum_ptrs, mask=offs_k < chunk_size - k, other=0.0).to(tl.float32) + # If there's seq_idx, we already set cb[i, j] = 0 for seq_idx[i] != seq_idx[j]. + # So we don't need masking wrt seq_idx here. + cb *= tl.exp((dA_cs_m[:, None] - dA_cs_k[None, :])) + dt_k = tl.load(dt_ptrs, mask=offs_k < chunk_size - k, other=0.0).to(tl.float32) + cb *= dt_k + if IS_CAUSAL: + mask = offs_m[:, None] >= k + offs_k[None, :] + cb = tl.where(mask, cb, 0.0) + cb = cb.to(x_ptr.dtype.element_ty) + x = tl.load(x_ptrs, mask=(offs_k[:, None] < chunk_size_limit - k) & (offs_n[None, :] < hdim), other=0.0) + acc += tl.dot(cb, x) + cb_ptrs += BLOCK_SIZE_K * stride_cb_csize_k + x_ptrs += BLOCK_SIZE_K * stride_x_seqlen + dt_ptrs += BLOCK_SIZE_K * stride_dt_csize + dA_cumsum_ptrs += BLOCK_SIZE_K * stride_dA_cs_csize + + offs_out_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_out_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + + if HAS_D: + if D_HAS_HDIM: + D = tl.load(D_ptr + pid_h * stride_D_head + offs_n, mask=offs_n < hdim, other=0.0).to(tl.float32) + else: + D = tl.load(D_ptr + pid_h * stride_D_head).to(tl.float32) + x_residual = tl.load(x_ptr + (offs_m[:, None] * stride_x_seqlen + offs_n[None, :] * stride_x_hdim), + mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0).to(tl.float32) + acc += x_residual * D + + if HAS_Z: + out_x_ptr += pid_b * stride_out_batch + pid_c * chunk_size * stride_out_seqlen + pid_h * stride_out_head + out_x_ptrs = out_x_ptr + (stride_out_seqlen * offs_out_m[:, None] + offs_out_n[None, :]) + tl.store(out_x_ptrs, acc, mask=(offs_out_m[:, None] < chunk_size_limit) & (offs_out_n[None, :] < hdim)) + + z_ptr += pid_b * stride_z_batch + pid_c * chunk_size * stride_z_seqlen + pid_h * stride_z_head + z_ptrs = z_ptr + (stride_z_seqlen * offs_out_m[:, None] + stride_z_hdim * offs_out_n[None, :]) + z = tl.load(z_ptrs, mask=(offs_out_m[:, None] < chunk_size_limit) & (offs_out_n[None, :] < hdim), other=0.0).to(tl.float32) + acc *= z * tl.sigmoid(z) + + out_ptr += pid_b * stride_out_batch + pid_c * chunk_size * stride_out_seqlen + pid_h * stride_out_head + out_ptrs = out_ptr + (stride_out_seqlen * offs_out_m[:, None] + offs_out_n[None, :] * stride_out_hdim) + tl.store(out_ptrs, acc, mask=(offs_out_m[:, None] < chunk_size_limit) & (offs_out_n[None, :] < hdim)) + + +@triton.autotune( + configs=[ + # triton.Config({'BLOCK_SIZE_N': 256}, num_stages=4, num_warps=4), + # triton.Config({'BLOCK_SIZE_N': 128}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_N': 64}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_N': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_N': 64}, num_stages=4, num_warps=8), + triton.Config({'BLOCK_SIZE_N': 32}, num_stages=4, num_warps=8), + ], + key=['chunk_size', 'hdim', 'dstate'], +) +@triton.jit +def _chunk_scan_fwd_kernel_wip( + # Pointers to matrices + cb_ptr, x_ptr, z_ptr, out_ptr, out_x_ptr, dt_ptr, dA_cumsum_ptr, seq_idx_ptr, C_ptr, B_ptr, prev_states_ptr, D_ptr, + # Matrix dimensions + chunk_size, hdim, dstate, + batch, seqlen, nheads_ngroups_ratio, + # Strides + stride_cb_batch, stride_cb_chunk, stride_cb_head, stride_cb_csize_m, stride_cb_csize_k, + stride_x_batch, stride_x_seqlen, stride_x_head, stride_x_hdim, + stride_z_batch, stride_z_seqlen, stride_z_head, stride_z_hdim, + stride_out_batch, stride_out_seqlen, stride_out_head, stride_out_hdim, + stride_dt_batch, stride_dt_chunk, stride_dt_head, stride_dt_csize, + stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, stride_dA_cs_csize, + stride_seq_idx_batch, stride_seq_idx_seqlen, + stride_C_batch, stride_C_seqlen, stride_C_head, stride_C_dstate, + stride_B_batch, stride_B_seqlen, stride_B_head, stride_B_dstate, + stride_states_batch, stride_states_chunk, stride_states_head, stride_states_hdim, stride_states_dstate, + stride_D_head, + # Meta-parameters + HAS_D: tl.constexpr, + D_HAS_HDIM: tl.constexpr, + HAS_Z: tl.constexpr, + HAS_SEQ_IDX: tl.constexpr, + BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, + BLOCK_SIZE_DSTATE: tl.constexpr, +): + pid_bc = tl.program_id(axis=1) + pid_c = pid_bc // batch + pid_b = pid_bc - pid_c * batch + pid_h = tl.program_id(axis=2) + pid_n = tl.program_id(axis=0) + cb_ptr += pid_b * stride_cb_batch + pid_c * stride_cb_chunk + (pid_h // nheads_ngroups_ratio) * stride_cb_head + x_ptr += pid_b * stride_x_batch + pid_c * chunk_size * stride_x_seqlen + pid_h * stride_x_head + dt_ptr += pid_b * stride_dt_batch + pid_c * stride_dt_chunk + pid_h * stride_dt_head + dA_cumsum_ptr += pid_b * stride_dA_cs_batch + pid_c * stride_dA_cs_chunk + pid_h * stride_dA_cs_head + C_ptr += pid_b * stride_C_batch + pid_c * chunk_size * stride_C_seqlen + (pid_h // nheads_ngroups_ratio) * stride_C_head + B_ptr += pid_b * stride_B_batch + pid_c * chunk_size * stride_B_seqlen + (pid_h // nheads_ngroups_ratio) * stride_B_head + prev_states_ptr += pid_b * stride_states_batch + pid_c * stride_states_chunk + pid_h * stride_states_head + if HAS_SEQ_IDX: + seq_idx_ptr += pid_b * stride_seq_idx_batch + pid_c * chunk_size * stride_seq_idx_seqlen + out_ptr += pid_b * stride_out_batch + pid_c * chunk_size * stride_out_seqlen + pid_h * stride_out_head + + offs_m = tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + offs_k_dstate = tl.arange(0, BLOCK_SIZE_DSTATE) + + C_ptrs = C_ptr + (offs_m[:, None] * stride_C_seqlen + offs_k_dstate[None, :] * stride_C_dstate) + B_ptrs = B_ptr + (offs_m[None, :] * stride_B_seqlen + offs_k_dstate[:, None] * stride_B_dstate) + prev_states_ptrs = prev_states_ptr + (offs_n[None, :] * stride_states_hdim + offs_k_dstate[:, None] * stride_states_dstate) + num_pid_n = tl.cdiv(hdim, BLOCK_SIZE_N) + cb_ptrs = cb_ptr + (offs_m[:, None] * stride_cb_csize_m + offs_m[None, :] * stride_cb_csize_k) + x_ptrs = x_ptr + (offs_m[:, None] * stride_x_seqlen + offs_n[None, :] * stride_x_hdim) + dt_ptrs = dt_ptr + offs_m * stride_dt_csize + out_ptrs = out_ptr + (offs_m[:, None] * stride_out_seqlen + offs_n[None, :] * stride_out_hdim) + + prev_states = tl.load(prev_states_ptrs, mask=(offs_k_dstate[:, None] < dstate) & (offs_n[None, :] < hdim), other=0.0) + # if pid_c == 0: + # if pid_b == 0: + # if pid_h == 0: + # tl.device_print("", prev_states) + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + + # dA_cs_m = tl.load(dA_cumsum_ptr + offs_m * stride_dA_cs_csize, mask=offs_m < chunk_size, other=0.0).to(tl.float32) + # scale_m = tl.exp(dA_cs_m) + # C = tl.load(C_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k_dstate[None, :] < dstate), other=0.0) + # acc = tl.dot(C, prev_states.to(C_ptr.dtype.element_ty)) * scale_m[:, None] + # cb = tl.load(cb_ptrs, mask=(offs_m[:, None] < chunk_size) & (offs_m[None, :] < chunk_size), other=0.0).to(tl.float32) + # cb *= tl.exp((dA_cs_m[:, None] - dA_cs_m[None, :])) + # dt_m = tl.load(dt_ptrs, mask=offs_m < chunk_size, other=0.0).to(tl.float32) + # cb *= dt_m + # mask = offs_m[:, None] >= offs_m[None, :] + # cb = tl.where(mask, cb, 0.0) + # cb = cb.to(x_ptr.dtype.element_ty) + # x = tl.load(x_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0) + # acc += tl.dot(cb, x) + # if HAS_D: + # if D_HAS_HDIM: + # D = tl.load(D_ptr + pid_h * stride_D_head + offs_n, mask=offs_n < hdim, other=0.0).to(tl.float32) + # else: + # D = tl.load(D_ptr + pid_h * stride_D_head).to(tl.float32) + # acc += x.to(tl.float32) * D + # tl.store(out_ptrs, acc, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim)) + + for start_m in range(0, chunk_size_limit, BLOCK_SIZE_M): + start_m = tl.multiple_of(start_m, BLOCK_SIZE_M) + dA_cs_m = tl.load(dA_cumsum_ptr + (start_m + offs_m) * stride_dA_cs_csize, mask=offs_m < chunk_size - start_m, other=0.0).to(tl.float32) + if HAS_SEQ_IDX: + seq_idx_prev = tl.load(seq_idx_ptr + start_m - stride_seq_idx_seqlen, mask=pid_c >= 1, other=0) + seq_idx_m = tl.load(seq_idx_ptr + (start_m + offs_m) * stride_seq_idx_seqlen, mask=offs_m < chunk_size_limit - start_m, other=-1) + if not HAS_SEQ_IDX: + scale_m = tl.exp(dA_cs_m) + else: + scale_m = tl.where(seq_idx_m == seq_idx_prev, tl.exp(dA_cs_m), 0.0) + C = tl.load(C_ptrs, mask=(offs_m[:, None] < chunk_size_limit - start_m) & (offs_k_dstate[None, :] < dstate), other=0.0) + acc = tl.dot(C, prev_states.to(C_ptr.dtype.element_ty)) * scale_m[:, None] + # cb = tl.load(cb_ptrs, mask=(offs_m[:, None] < chunk_size - start_m) & (offs_m[None, :] < chunk_size - start_m), other=0.0).to(tl.float32) + # cb *= tl.exp((dA_cs_m[:, None] - dA_cs_m[None, :])) + dt_m = tl.load(dt_ptrs, mask=offs_m < chunk_size - start_m, other=0.0).to(tl.float32) + # cb *= dt_m + # mask = offs_m[:, None] >= offs_m[None, :] + # cb = tl.where(mask, cb, 0.0) + # cb = cb.to(x_ptr.dtype.element_ty) + x = tl.load(x_ptrs, mask=(offs_m[:, None] < chunk_size_limit - start_m) & (offs_n[None, :] < hdim), other=0.0) + # acc += tl.dot(cb, x) + + if HAS_D: + if D_HAS_HDIM: + D = tl.load(D_ptr + pid_h * stride_D_head + offs_n, mask=offs_n < hdim, other=0.0).to(tl.float32) + else: + D = tl.load(D_ptr + pid_h * stride_D_head).to(tl.float32) + acc += x.to(tl.float32) * D + + # if HAS_Z: + # out_x_ptr += pid_b * stride_out_batch + pid_c * chunk_size * stride_out_seqlen + pid_h * stride_out_head + # out_x_ptrs = out_x_ptr + (stride_out_seqlen * offs_out_m[:, None] + offs_out_n[None, :]) + # tl.store(out_x_ptrs, acc, mask=(offs_out_m[:, None] < chunk_size_limit) & (offs_out_n[None, :] < hdim)) + + # z_ptr += pid_b * stride_z_batch + pid_c * chunk_size * stride_z_seqlen + pid_h * stride_z_head + # z_ptrs = z_ptr + (stride_z_seqlen * offs_out_m[:, None] + stride_z_hdim * offs_out_n[None, :]) + # z = tl.load(z_ptrs, mask=(offs_out_m[:, None] < chunk_size_limit) & (offs_out_n[None, :] < hdim), other=0.0).to(tl.float32) + # acc *= z * tl.sigmoid(z) + + tl.store(out_ptrs, acc, mask=(offs_m[:, None] < chunk_size_limit - start_m) & (offs_n[None, :] < hdim)) + + # TODO: this is not correct, and quite a bit slower + if start_m + BLOCK_SIZE_M < chunk_size_limit: + # B = tl.load(B_ptrs, mask=(offs_m[None, :] < chunk_size_limit - start_m) & (offs_k_dstate[:, None] < dstate), other=0.0).to(tl.float32) + B = tl.load(B_ptrs, mask=(offs_m[None, :] < chunk_size_limit - start_m) & (offs_k_dstate[:, None] < dstate), other=0.0) + dA_cs_last = tl.load(dA_cumsum_ptr + (start_m + BLOCK_SIZE_M) * stride_dA_cs_csize).to(tl.float32) + # TODO: seq_idx + scale = tl.exp((dA_cs_last - dA_cs_m)) * dt_m + # B *= scale + B = B.to(x_ptr.dtype.element_ty) + tmp = tl.dot(B, x) + prev_states += tmp.to(prev_states.dtype) + + C_ptrs += BLOCK_SIZE_M * stride_C_seqlen + B_ptrs += BLOCK_SIZE_M * stride_B_seqlen + cb_ptrs += BLOCK_SIZE_M * stride_cb_csize_m + BLOCK_SIZE_M * stride_cb_csize_k + x_ptrs += BLOCK_SIZE_M * stride_x_seqlen + dt_ptrs += BLOCK_SIZE_M * stride_dt_csize + out_ptrs += BLOCK_SIZE_M * stride_out_seqlen + + +@triton.autotune( + configs=[ + triton.Config({'BLOCK_SIZE_M': 32}), + triton.Config({'BLOCK_SIZE_M': 64}), + triton.Config({'BLOCK_SIZE_M': 128}), + triton.Config({'BLOCK_SIZE_M': 256}), + ], + key=["chunk_size", "hdim"], +) +@triton.jit +def _chunk_scan_bwd_dz_kernel( + # Pointers to matrices + dout_ptr, out_ptr, z_ptr, x_ptr, D_ptr, outz_ptr, dz_ptr, dout_x_ptr, dD_ptr, ddA_cumsum_ptr, + # Matrix dimensions + chunk_size, hdim, + batch, seqlen, + # Strides + stride_dout_batch, stride_dout_seqlen, stride_dout_head, stride_dout_hdim, + stride_out_batch, stride_out_seqlen, stride_out_head, stride_out_hdim, + stride_z_batch, stride_z_seqlen, stride_z_head, stride_z_hdim, + stride_x_batch, stride_x_seqlen, stride_x_head, stride_x_hdim, + stride_D_head, + stride_outz_batch, stride_outz_seqlen, stride_outz_head, stride_outz_hdim, + stride_dz_batch, stride_dz_seqlen, stride_dz_head, stride_dz_hdim, + stride_doutx_batch, stride_doutx_seqlen, stride_doutx_head, stride_doutx_hdim, + stride_dD_batch, stride_dD_chunk, stride_dD_head, stride_dD_csize, stride_dD_hdim, + stride_ddA_cs_batch, stride_ddA_cs_chunk, stride_ddA_cs_head, stride_ddA_cs_csize, + # Meta-parameters + HAS_D: tl.constexpr, + D_HAS_HDIM: tl.constexpr, + HAS_DDACS: tl.constexpr, + RECOMPUTE_OUTPUT: tl.constexpr, + BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, +): + pid_bc = tl.program_id(axis=1) + pid_c = pid_bc // batch + pid_b = pid_bc - pid_c * batch + pid_h = tl.program_id(axis=2) + pid_m = tl.program_id(axis=0) + + dout_ptr += pid_b * stride_dout_batch + pid_c * chunk_size * stride_dout_seqlen + pid_h * stride_dout_head + dout_x_ptr += pid_b * stride_doutx_batch + pid_c * chunk_size * stride_doutx_seqlen + pid_h * stride_doutx_head + out_ptr += pid_b * stride_out_batch + pid_c * chunk_size * stride_out_seqlen + pid_h * stride_out_head + z_ptr += pid_b * stride_z_batch + pid_c * chunk_size * stride_z_seqlen + pid_h * stride_z_head + dz_ptr += pid_b * stride_dz_batch + pid_c * chunk_size * stride_dz_seqlen + pid_h * stride_dz_head + if RECOMPUTE_OUTPUT: + outz_ptr += pid_b * stride_outz_batch + pid_c * chunk_size * stride_outz_seqlen + pid_h * stride_outz_head + if HAS_DDACS: + ddA_cumsum_ptr += pid_b * stride_ddA_cs_batch + pid_c * stride_ddA_cs_chunk + pid_h * stride_ddA_cs_head + if HAS_D: + x_ptr += pid_b * stride_x_batch + pid_c * chunk_size * stride_x_seqlen + pid_h * stride_x_head + dD_ptr += pid_b * stride_dD_batch + pid_c * stride_dD_chunk + pid_h * stride_dD_head + pid_m * stride_dD_csize + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = tl.arange(0, BLOCK_SIZE_N) + dout_ptrs = dout_ptr + (offs_m[:, None] * stride_dout_seqlen + offs_n[None, :] * stride_dout_hdim) + dout_x_ptrs = dout_x_ptr + (offs_m[:, None] * stride_doutx_seqlen + offs_n[None, :] * stride_doutx_hdim) + out_ptrs = out_ptr + (offs_m[:, None] * stride_out_seqlen + offs_n[None, :] * stride_out_hdim) + z_ptrs = z_ptr + (offs_m[:, None] * stride_z_seqlen + offs_n[None, :] * stride_z_hdim) + dz_ptrs = dz_ptr + (offs_m[:, None] * stride_dz_seqlen + offs_n[None, :] * stride_dz_hdim) + if RECOMPUTE_OUTPUT: + outz_ptrs = outz_ptr + (offs_m[:, None] * stride_outz_seqlen + offs_n[None, :] * stride_outz_hdim) + if HAS_D: + x_ptrs = x_ptr + (offs_m[:, None] * stride_x_seqlen + offs_n[None, :] * stride_x_hdim) + if D_HAS_HDIM: + dD_ptrs = dD_ptr + offs_n * stride_dD_hdim + + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + dout = tl.load(dout_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0).to(tl.float32) + out = tl.load(out_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0).to(tl.float32) + z = tl.load(z_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0).to(tl.float32) + z_sigmoid = tl.sigmoid(z) + if RECOMPUTE_OUTPUT: + outz = out * z * z_sigmoid + tl.store(outz_ptrs, outz, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim)) + dz = dout * out * z_sigmoid * (1 + z * (1 - z_sigmoid)) + tl.store(dz_ptrs, dz, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim)) + dout *= z * z_sigmoid + tl.store(dout_x_ptrs, dout, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim)) + if HAS_D: + x = tl.load(x_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0).to(tl.float32) + if D_HAS_HDIM: + dD = tl.sum(dout * x, axis=0) + tl.store(dD_ptrs, dD, mask=offs_n < hdim) + D = tl.load(D_ptr + pid_h * stride_D_head + offs_n, mask=offs_n < hdim, other=0.0).to(tl.float32) + else: + dD = tl.sum(dout * x) + tl.store(dD_ptr, dD) + D = tl.load(D_ptr + pid_h * stride_D_head).to(tl.float32) + out -= x * D + if HAS_DDACS: + ddA_cs = tl.sum(dout * out, axis=1) + tl.store(ddA_cumsum_ptr + offs_m * stride_ddA_cs_csize, ddA_cs, mask=offs_m < chunk_size) + + +@triton.autotune( + configs=[ + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 64}, num_stages=3, num_warps=8), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=2), + triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=2), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=2), + ], + key=['hdim', 'dstate', 'chunk_size'], +) +@triton.jit +def _chunk_scan_bwd_dstates_kernel( + # Pointers to matrices + dout_ptr, c_ptr, dprev_states_ptr, dA_cumsum_ptr, seq_idx_ptr, + # Matrix dimensions + hdim, dstate, chunk_size, + batch, seqlen, nchunks, nheads_ngroups_ratio, + # Strides + stride_dout_batch, stride_dout_seqlen, stride_dout_head, stride_dout_hdim, + stride_c_batch, stride_c_seqlen, stride_c_head, stride_c_dstate, + stride_dprev_states_batch, stride_dprev_states_chunk, stride_dprev_states_head, stride_dprev_states_hdim, stride_dprev_states_dstate, + stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, stride_dA_cs_csize, + stride_seq_idx_batch, stride_seq_idx_seqlen, + # Meta-parameters + HAS_SEQ_IDX: tl.constexpr, + BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr, +): + pid_bc = tl.program_id(axis=1) + pid_c = pid_bc // batch + pid_b = pid_bc - pid_c * batch + pid_h = tl.program_id(axis=2) + num_pid_n = tl.cdiv(dstate, BLOCK_SIZE_N) + pid_m = tl.program_id(axis=0) // num_pid_n + pid_n = tl.program_id(axis=0) % num_pid_n + c_ptr += pid_b * stride_c_batch + pid_c * chunk_size * stride_c_seqlen + (pid_h // nheads_ngroups_ratio) * stride_c_head + dout_ptr += pid_b * stride_dout_batch + pid_c * chunk_size * stride_dout_seqlen + pid_h * stride_dout_head + dA_cumsum_ptr += pid_b * stride_dA_cs_batch + pid_c * stride_dA_cs_chunk + pid_h * stride_dA_cs_head + if HAS_SEQ_IDX: + seq_idx_ptr += pid_b * stride_seq_idx_batch + pid_c * chunk_size * stride_seq_idx_seqlen + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + offs_k = tl.arange(0, BLOCK_SIZE_K) + dout_ptrs = dout_ptr + (offs_m[:, None] * stride_dout_hdim + offs_k[None, :] * stride_dout_seqlen) + c_ptrs = c_ptr + (offs_n[None, :] * stride_c_dstate + offs_k[:, None] * stride_c_seqlen) + dA_cumsum_ptrs = dA_cumsum_ptr + offs_k * stride_dA_cs_csize + if HAS_SEQ_IDX: + seq_idx_ptrs = seq_idx_ptr + offs_k * stride_seq_idx_seqlen + + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32) + if HAS_SEQ_IDX: + seq_idx_prev = tl.load(seq_idx_ptr - stride_seq_idx_seqlen, mask=pid_c >= 1, other=0) + for k in range(0, chunk_size_limit, BLOCK_SIZE_K): + dout = tl.load(dout_ptrs, mask=(offs_m[:, None] < hdim) & (offs_k[None, :] < chunk_size_limit - k), other=0.0).to(tl.float32) + dA_cs_k = tl.load(dA_cumsum_ptrs, mask=offs_k < chunk_size - k, other=0.0).to(tl.float32) + if not HAS_SEQ_IDX: + scale_k = tl.exp(dA_cs_k) + else: + seq_idx_k = tl.load(seq_idx_ptrs, mask=offs_k < chunk_size_limit - k, other=-1) + scale_k = tl.where(seq_idx_k == seq_idx_prev, tl.exp(dA_cs_k), 0.0) + dout = (dout * scale_k).to(dout_ptr.dtype.element_ty) + c = tl.load(c_ptrs, mask=(offs_k[:, None] < chunk_size_limit - k) & (offs_n[None, :] < dstate), other=0.0) + acc += tl.dot(dout, c) + dout_ptrs += BLOCK_SIZE_K * stride_dout_seqlen + c_ptrs += BLOCK_SIZE_K * stride_c_seqlen + dA_cumsum_ptrs += BLOCK_SIZE_K * stride_dA_cs_csize + if HAS_SEQ_IDX: + seq_idx_ptrs += BLOCK_SIZE_K * stride_seq_idx_seqlen + out = acc.to(dprev_states_ptr.dtype.element_ty) + + dprev_states_ptr += pid_b * stride_dprev_states_batch + pid_c * stride_dprev_states_chunk + pid_h * stride_dprev_states_head + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + dprev_states_ptrs = dprev_states_ptr + (offs_m[:, None] * stride_dprev_states_hdim + offs_n[None, :] * stride_dprev_states_dstate) + tl.store(dprev_states_ptrs, out, mask=(offs_m[:, None] < hdim) & (offs_n[None, :] < dstate)) + + +@triton.autotune( + configs=[ + triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 128}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 32}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + ], + key=['chunk_size', 'dstate', 'hdim'], +) +@triton.jit +def _chunk_scan_bwd_dc_kernel( + # Pointers to matrices + dout_ptr, prev_states_ptr, C_ptr, dA_cumsum_ptr, seq_idx_ptr, + dc_ptr, ddA_cumsum_ptr, + # Matrix dimensions + chunk_size, dstate, hdim, + batch, seqlen, nheads, nheads_per_program, ngroups, + # Strides + stride_dout_batch, stride_dout_seqlen, stride_dout_head, stride_dout_hdim, + stride_prev_states_batch, stride_prev_states_chunk, stride_prev_states_head, stride_prev_states_hdim, stride_prev_states_dstate, + stride_C_batch, stride_C_seqlen, stride_C_head, stride_C_dstate, + stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, stride_dA_cs_csize, + stride_seq_idx_batch, stride_seq_idx_seqlen, + stride_dc_batch, stride_dc_seqlen, stride_dc_split, stride_dc_group, stride_dc_dstate, + stride_ddA_cs_batch, stride_ddA_cs_chunk, stride_ddA_cs_head, stride_ddA_cs_csize, + # Meta-parameters + HAS_DDA_CS: tl.constexpr, + HAS_SEQ_IDX: tl.constexpr, + BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr, +): + pid_bc = tl.program_id(axis=1) + pid_c = pid_bc // batch + pid_b = pid_bc - pid_c * batch + pid_sg = tl.program_id(axis=2) + pid_s = pid_sg // ngroups + pid_g = pid_sg - pid_s * ngroups + num_pid_n = tl.cdiv(dstate, BLOCK_SIZE_N) + pid_m = tl.program_id(axis=0) // num_pid_n + pid_n = tl.program_id(axis=0) % num_pid_n + dout_ptr += pid_b * stride_dout_batch + pid_c * chunk_size * stride_dout_seqlen + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_dout_head + dc_ptr += pid_b * stride_dc_batch + pid_c * chunk_size * stride_dc_seqlen + pid_g * stride_dc_group + pid_s * stride_dc_split + prev_states_ptr += pid_b * stride_prev_states_batch + pid_c * stride_prev_states_chunk + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_prev_states_head + dA_cumsum_ptr += pid_b * stride_dA_cs_batch + pid_c * stride_dA_cs_chunk + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_dA_cs_head + if HAS_DDA_CS: + C_ptr += pid_b * stride_C_batch + pid_c * chunk_size * stride_C_seqlen + pid_g * stride_C_head + ddA_cumsum_ptr += pid_b * stride_ddA_cs_batch + pid_c * stride_ddA_cs_chunk + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_ddA_cs_head + if HAS_SEQ_IDX: + seq_idx_ptr += pid_b * stride_seq_idx_batch + pid_c * chunk_size * stride_seq_idx_seqlen + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + offs_k = tl.arange(0, BLOCK_SIZE_K) + dout_ptrs = dout_ptr + (offs_m[:, None] * stride_dout_seqlen + offs_k[None, :] * stride_dout_hdim) + prev_states_ptrs = prev_states_ptr + (offs_n[None, :] * stride_prev_states_dstate + offs_k[:, None] * stride_prev_states_hdim) + dA_cumsum_ptrs = dA_cumsum_ptr + offs_m * stride_dA_cs_csize + if HAS_DDA_CS: + C_ptrs = C_ptr + (offs_m[:, None] * stride_C_seqlen + offs_n[None, :] * stride_C_dstate) + ddA_cumsum_ptrs = ddA_cumsum_ptr + offs_m * stride_ddA_cs_csize + + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32) + if HAS_DDA_CS: + c = tl.load(C_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < dstate), other=0.0).to(tl.float32) + if HAS_SEQ_IDX: + seq_idx_prev = tl.load(seq_idx_ptr - stride_seq_idx_seqlen, mask=pid_c >= 1, other=0) + seq_idx_m = tl.load(seq_idx_ptr + offs_m * stride_seq_idx_seqlen, mask=offs_m < chunk_size_limit, other=-1) + nheads_iter = min(nheads_per_program, nheads // ngroups - pid_s * nheads_per_program) + for h in range(nheads_iter): + dout = tl.load(dout_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < hdim), other=0.0) + prev_states = tl.load(prev_states_ptrs, mask=(offs_k[:, None] < hdim) & (offs_n[None, :] < dstate), other=0.0) + prev_states = prev_states.to(dout_ptrs.dtype.element_ty) + dc = tl.dot(dout, prev_states) + dA_cs_m = tl.load(dA_cumsum_ptrs, mask=offs_m < chunk_size_limit, other=0.0).to(tl.float32) + if not HAS_SEQ_IDX: + scale = tl.exp(dA_cs_m) + else: + scale = tl.where(seq_idx_m == seq_idx_prev, tl.exp(dA_cs_m), 0.0) + dc *= scale[:, None] + if HAS_DDA_CS: + ddA_cs = tl.sum(dc * c, axis=1) + tl.atomic_add(ddA_cumsum_ptrs, ddA_cs, mask=offs_m < chunk_size) + acc += dc + dout_ptrs += stride_dout_head + prev_states_ptrs += stride_prev_states_head + dA_cumsum_ptrs += stride_dA_cs_head + if HAS_DDA_CS: + ddA_cumsum_ptrs += stride_ddA_cs_head + # if HAS_SEQ_IDX: + # seq_idx_prev = tl.load(seq_idx_ptr - stride_seq_idx_seqlen, mask=pid_c >= 1, other=0) + # seq_idx_m = tl.load(seq_idx_ptr + offs_m * stride_seq_idx_seqlen, mask=offs_m < chunk_size_limit, other=-1) + # acc = tl.where(seq_idx_m[:, None] == seq_idx_prev, acc, 0.0) + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + dc_ptrs = dc_ptr + (offs_m[:, None] * stride_dc_seqlen + offs_n[None, :] * stride_dc_dstate) + tl.store(dc_ptrs, acc, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < dstate)) + + +@triton.autotune( + configs=[ + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 64}, num_stages=3, num_warps=8, pre_hook=init_to_zero(["ddt_ptr"])), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr"])), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr"])), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr"])), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr"])), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr"])), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=4, pre_hook=init_to_zero(["ddt_ptr"])), + triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=4, pre_hook=init_to_zero(["ddt_ptr"])), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddt_ptr"])), + ], + key=['chunk_size', 'hdim'], +) +@triton.jit +def _chunk_scan_bwd_dx_kernel( + # Pointers to matrices + x_ptr, cb_ptr, dout_ptr, dt_ptr, dA_cumsum_ptr, D_ptr, + dx_ptr, ddt_ptr, # dD_ptr, + # Matrix dimensions + chunk_size, hdim, + batch, seqlen, nheads_ngroups_ratio, + # Strides + stride_x_batch, stride_x_seqlen, stride_x_head, stride_x_hdim, + stride_cb_batch, stride_cb_chunk, stride_cb_head, stride_cb_csize_m, stride_cb_csize_k, + stride_dout_batch, stride_dout_seqlen, stride_dout_head, stride_dout_hdim, + stride_dt_batch, stride_dt_chunk, stride_dt_head, stride_dt_csize, + stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, stride_dA_cs_csize, + stride_D_head, + stride_dx_batch, stride_dx_seqlen, stride_dx_head, stride_dx_hdim, + stride_ddt_batch, stride_ddt_chunk, stride_ddt_head, stride_ddt_csize, + # stride_dD_batch, stride_dD_chunk, stride_dD_head, stride_dD_hdim, stride_dD_csize, + # Meta-parameters + HAS_D: tl.constexpr, + D_HAS_HDIM: tl.constexpr, + BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr, +): + pid_bc = tl.program_id(axis=1) + pid_c = pid_bc // batch + pid_b = pid_bc - pid_c * batch + pid_h = tl.program_id(axis=2) + num_pid_n = tl.cdiv(hdim, BLOCK_SIZE_N) + pid_m = tl.program_id(axis=0) // num_pid_n + pid_n = tl.program_id(axis=0) % num_pid_n + x_ptr += pid_b * stride_x_batch + pid_c * chunk_size * stride_x_seqlen + pid_h * stride_x_head + cb_ptr += pid_b * stride_cb_batch + pid_c * stride_cb_chunk + (pid_h // nheads_ngroups_ratio) * stride_cb_head + dout_ptr += pid_b * stride_dout_batch + pid_c * chunk_size * stride_dout_seqlen + pid_h * stride_dout_head + dt_ptr += pid_b * stride_dt_batch + pid_c * stride_dt_chunk + pid_h * stride_dt_head + ddt_ptr += pid_b * stride_ddt_batch + pid_c * stride_ddt_chunk + pid_h * stride_ddt_head + dA_cumsum_ptr += pid_b * stride_dA_cs_batch + pid_c * stride_dA_cs_chunk + pid_h * stride_dA_cs_head + # if HAS_D: + # dD_ptr += pid_b * stride_dD_batch + pid_c * stride_dD_chunk + pid_h * stride_dD_head + pid_m * stride_dD_csize + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + offs_k = tl.arange(0, BLOCK_SIZE_K) + cb_ptrs = cb_ptr + (offs_m[:, None] * stride_cb_csize_m + offs_k[None, :] * stride_cb_csize_k) + dout_ptrs = dout_ptr + (offs_k[:, None] * stride_dout_seqlen + offs_n[None, :] * stride_dout_hdim) + dA_cumsum_ptrs = dA_cumsum_ptr + offs_k * stride_dA_cs_csize + + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + dA_cs_m = tl.load(dA_cumsum_ptr + offs_m * stride_dA_cs_csize, mask=offs_m < chunk_size_limit, other=0.0).to(tl.float32) + + acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32) + # Idk why limiting K_MAX gives wrong results, is it a Triton bug? + # K_MAX = min((pid_m + 1) * BLOCK_SIZE_M, chunk_size_limit) + K_MAX = chunk_size_limit + for k in range(0, K_MAX, BLOCK_SIZE_K): + # For some reason setting mask to (offs_m[:, None] < chunk_size_limit) is much slower + cb = tl.load(cb_ptrs, mask=(offs_m[:, None] < chunk_size) & (offs_k[None, :] < K_MAX - k), other=0.0) + dout = tl.load(dout_ptrs, mask=(offs_k[:, None] < K_MAX - k) & (offs_n[None, :] < hdim), other=0.0) + dA_cs_k = tl.load(dA_cumsum_ptrs, mask=offs_k < K_MAX - k, other=0.0).to(tl.float32) + cb *= tl.exp(dA_cs_k[None, :] - dA_cs_m[:, None]) + # If we don't have the (k + offs_k[None, :] < K_MAX) mask, for indices outside this range, + # we might have dA_cs_m = 0.0 and dA_cs_k very negative, and tl.exp will return inf. + # Multiplying with cb, which is 0.0 outside the range, will make the result NaN. + # This will cause NaN in acc, and hence NaN in dx and ddt. + mask = (k + offs_k[None, :] >= offs_m[:, None]) & (k + offs_k[None, :] < K_MAX) + cb = tl.where(mask, cb, 0.0) + cb = cb.to(dout_ptr.dtype.element_ty) + acc += tl.dot(cb, dout) + cb_ptrs += BLOCK_SIZE_K * stride_cb_csize_k + dout_ptrs += BLOCK_SIZE_K * stride_dout_seqlen + dA_cumsum_ptrs += BLOCK_SIZE_K * stride_dA_cs_csize + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + dt_ptrs = dt_ptr + offs_m * stride_dt_csize + dt_m = tl.load(dt_ptrs, mask=offs_m < chunk_size_limit, other=0.0).to(tl.float32) + dx = acc * dt_m[:, None] + dx_ptr += pid_b * stride_dx_batch + pid_c * chunk_size * stride_dx_seqlen + pid_h * stride_dx_head + dx_ptrs = dx_ptr + (offs_m[:, None] * stride_dx_seqlen + offs_n[None, :] * stride_dx_hdim) + if HAS_D: + dout_res_ptrs = dout_ptr + (offs_m[:, None] * stride_dout_seqlen + offs_n[None, :] * stride_dout_hdim) + dout_res = tl.load(dout_res_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0).to(tl.float32) + if D_HAS_HDIM: + D = tl.load(D_ptr + pid_h * stride_D_head + offs_n, mask=offs_n < hdim, other=0.0).to(tl.float32) + else: + D = tl.load(D_ptr + pid_h * stride_D_head).to(tl.float32) + dx += dout_res * D + tl.store(dx_ptrs, dx, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim)) + + x_ptrs = x_ptr + (offs_m[:, None] * stride_x_seqlen + offs_n[None, :] * stride_x_hdim) + x = tl.load(x_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0).to(tl.float32) + ddt = tl.sum(acc * x, axis=1) + ddt_ptrs = ddt_ptr + offs_m * stride_ddt_csize + tl.atomic_add(ddt_ptrs, ddt, mask=offs_m < chunk_size) + + # if HAS_D: + # dout_new_ptrs = dout_ptr + (offs_m[:, None] * stride_dout_csize + offs_n[None, :] * stride_dout_hdim) + # dout = tl.load(dout_new_ptrs, mask=(offs_m[:, None] < M) & (offs_n[None, :] < N), other=0.0).to(tl.float32) + # dD = tl.sum(x * dout, axis=0) + # tl.store(dD_ptr + offs_n * stride_dD_hdim, dD, mask=offs_n < N) + + +# Disabling HAS_DDA_CS for now since it's much slower +@triton.autotune( + configs=[ + triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 128}, num_stages=3, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32}, num_stages=3, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64}, num_stages=3, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32}, num_stages=3, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64}, num_stages=3, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 32}, num_stages=3, num_warps=4), + # triton.Config({'BLOCK_SIZE_M': 16}, num_stages=3, num_warps=4), + # triton.Config({'BLOCK_SIZE_M': 32}, num_stages=3, num_warps=4), + # triton.Config({'BLOCK_SIZE_M': 64}, num_stages=3, num_warps=4), + # triton.Config({'BLOCK_SIZE_M': 128}, num_stages=3, num_warps=4), + # triton.Config({'BLOCK_SIZE_M': 16}, num_stages=4, num_warps=8), + # triton.Config({'BLOCK_SIZE_M': 32}, num_stages=4, num_warps=8), + # triton.Config({'BLOCK_SIZE_M': 64}, num_stages=4, num_warps=8), + # triton.Config({'BLOCK_SIZE_M': 128}, num_stages=4, num_warps=8), + ], + key=['chunk_size', 'hdim'], +) +# @triton.heuristics({"BLOCK_SIZE_N": lambda args: max(triton.next_power_of_2(args["chunk_size"]), 16)}) +# @triton.heuristics({"BLOCK_SIZE_N": lambda args: 32}) +@triton.jit +def _chunk_scan_bwd_dcb_kernel( + # Pointers to matrices + x_ptr, dout_ptr, cb_ptr, dt_ptr, dA_cumsum_ptr, seq_idx_ptr, + dcb_ptr, ddA_cumsum_ptr, + # Matrix dimensions + chunk_size, hdim, + batch, seqlen, nheads, nheads_per_program, ngroups, + # Strides + stride_x_batch, stride_x_seqlen, stride_x_head, stride_x_hdim, + stride_dout_batch, stride_dout_seqlen, stride_dout_head, stride_dout_hdim, + stride_cb_batch, stride_cb_chunk, stride_cb_head, stride_cb_csize_m, stride_cb_csize_n, + stride_dt_batch, stride_dt_chunk, stride_dt_head, stride_dt_csize, + stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, stride_dA_cs_csize, + stride_seq_idx_batch, stride_seq_idx_seqlen, + stride_dcb_batch, stride_dcb_chunk, stride_dcb_split, stride_dcb_group, stride_dcb_csize_m, stride_dcb_csize_n, + stride_ddA_cs_batch, stride_ddA_cs_chunk, stride_ddA_cs_head, stride_ddA_cs_csize_m, stride_ddA_cs_csize_n, + # Meta-parameters + HAS_DDA_CS: tl.constexpr, + HAS_SEQ_IDX: tl.constexpr, + BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr, +): + pid_bc = tl.program_id(axis=1) + pid_c = pid_bc // batch + pid_b = pid_bc - pid_c * batch + pid_sg = tl.program_id(axis=2) + pid_s = pid_sg // ngroups + pid_g = pid_sg - pid_s * ngroups + num_pid_n = tl.cdiv(chunk_size, BLOCK_SIZE_N) + pid_m = tl.program_id(axis=0) // num_pid_n + pid_n = tl.program_id(axis=0) % num_pid_n + + x_ptr += pid_b * stride_x_batch + pid_c * chunk_size * stride_x_seqlen + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_x_head + dout_ptr += pid_b * stride_dout_batch + pid_c * chunk_size * stride_dout_seqlen + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_dout_head + dt_ptr += pid_b * stride_dt_batch + pid_c * stride_dt_chunk + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_dt_head + dA_cumsum_ptr += pid_b * stride_dA_cs_batch + pid_c * stride_dA_cs_chunk + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_dA_cs_head + if HAS_DDA_CS: + cb_ptr += pid_b * stride_cb_batch + pid_c * stride_cb_chunk + pid_g * stride_cb_head + ddA_cumsum_ptr += pid_b * stride_ddA_cs_batch + pid_c * stride_ddA_cs_chunk + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_ddA_cs_head + pid_m * stride_ddA_cs_csize_m + if HAS_SEQ_IDX: + seq_idx_ptr += pid_b * stride_seq_idx_batch + pid_c * chunk_size * stride_seq_idx_seqlen + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + offs_k = tl.arange(0, BLOCK_SIZE_K) + dout_ptrs = dout_ptr + (offs_m[:, None] * stride_dout_seqlen + offs_k[None, :] * stride_dout_hdim) + x_ptrs = x_ptr + (offs_n[None, :] * stride_x_seqlen + offs_k[:, None] * stride_x_hdim) + dt_ptrs = dt_ptr + offs_n * stride_dt_csize + if HAS_DDA_CS: + cb_ptrs = cb_ptr + (offs_m[:, None] * stride_cb_csize_m + offs_n[None, :] * stride_cb_csize_n) + ddA_cumsum_ptrs = ddA_cumsum_ptr + offs_n * stride_ddA_cs_csize_n + + if pid_n * BLOCK_SIZE_N >= (pid_m + 1) * BLOCK_SIZE_M: + dcb_ptr += pid_b * stride_dcb_batch + pid_c * stride_dcb_chunk + pid_g * stride_dcb_group + pid_s * stride_dcb_split + dcb_ptrs = dcb_ptr + (offs_m[:, None] * stride_dcb_csize_m + offs_n[None, :] * stride_dcb_csize_n) + tl.store(dcb_ptrs, tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=dcb_ptr.dtype.element_ty), mask=(offs_m[:, None] < chunk_size) & (offs_n[None, :] < chunk_size)) + return + + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + chunk_size_limit_n = min(chunk_size_limit, (pid_m + 1) * BLOCK_SIZE_M) + acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32) + if HAS_DDA_CS: + cb = tl.load(cb_ptrs, mask=(offs_m[:, None] < chunk_size) & (offs_n[None, :] < chunk_size), other=0.0).to(tl.float32) + nheads_iter = min(nheads_per_program, nheads // ngroups - pid_s * nheads_per_program) + for h in range(nheads_iter): + dout = tl.load(dout_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < hdim), other=0.0) + x = tl.load(x_ptrs, mask=(offs_k[:, None] < hdim) & (offs_n[None, :] < chunk_size_limit_n), other=0.0) + dcb = tl.dot(dout, x) + dt_n = tl.load(dt_ptrs, mask=offs_n < chunk_size, other=0.0).to(tl.float32) + dcb *= dt_n + dA_cs_m = tl.load(dA_cumsum_ptr + offs_m * stride_dA_cs_csize, mask=offs_m < chunk_size_limit, other=0.0).to(tl.float32) + dA_cs_n = tl.load(dA_cumsum_ptr + offs_n * stride_dA_cs_csize, mask=offs_n < chunk_size_limit, other=0.0).to(tl.float32) + dcb *= tl.exp(dA_cs_m[:, None] - dA_cs_n[None, :]) + if HAS_DDA_CS: + tl.static_assert(not HAS_SEQ_IDX, "HAS_SEQ_IDX not supported with HAS_DDA_CS yet") + ddA_cs = dcb * cb + mask = offs_m[:, None] >= offs_n[None, :] + 1 + ddA_cs = tl.where(mask, ddA_cs, 0.0) + ddA_cs = tl.cumsum(ddA_cs, axis=1) + ddA_cs = tl.where(mask, ddA_cs, 0.0) + ddA_cs = tl.sum(ddA_cs, axis=0) + tl.store(ddA_cumsum_ptrs + stride_ddA_cs_csize_n, ddA_cs, mask=offs_n < chunk_size - 1) + tl.store(ddA_cumsum_ptr, 0.0) + acc += dcb + dout_ptrs += stride_dout_head + x_ptrs += stride_x_head + dt_ptrs += stride_dt_head + dA_cumsum_ptr += stride_dA_cs_head + if HAS_DDA_CS: + ddA_cumsum_ptr += stride_ddA_cs_head + ddA_cumsum_ptrs += stride_ddA_cs_head + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + if HAS_SEQ_IDX: + seq_idx_m = tl.load(seq_idx_ptr + offs_m * stride_seq_idx_seqlen, mask=offs_m < chunk_size_limit, other=-1) + seq_idx_n = tl.load(seq_idx_ptr + offs_n * stride_seq_idx_seqlen, mask=offs_n < chunk_size_limit, other=-2) + acc = tl.where(seq_idx_m[:, None] == seq_idx_n[None, :], acc, 0.0) + mask = offs_m[:, None] >= offs_n[None, :] + acc = tl.where(mask, acc, 0.0) + dcb_ptr += pid_b * stride_dcb_batch + pid_c * stride_dcb_chunk + pid_g * stride_dcb_group + pid_s * stride_dcb_split + dcb_ptrs = dcb_ptr + (offs_m[:, None] * stride_dcb_csize_m + offs_n[None, :] * stride_dcb_csize_n) + tl.store(dcb_ptrs, acc, mask=(offs_m[:, None] < chunk_size) & (offs_n[None, :] < chunk_size)) + + +# Not numerically stable and should not be used. Leaving here for reference. +@triton.autotune( + configs=[ + triton.Config({'BLOCK_SIZE_M': 32}), + triton.Config({'BLOCK_SIZE_M': 64}), + triton.Config({'BLOCK_SIZE_M': 128}), + triton.Config({'BLOCK_SIZE_M': 256}), + ], + key=["chunk_size", "hdim"], +) +@triton.jit +def _chunk_scan_bwd_ddAcs_unstable_kernel( + # Pointers to matrices + dout_ptr, out_ptr, dt_ptr, ddt_ptr, x_ptr, D_ptr, + ddA_cumsum_ptr, dD_ptr, + # Matrix dimensions + chunk_size, hdim, + batch, seqlen, + # Strides + stride_dout_batch, stride_dout_seqlen, stride_dout_head, stride_dout_hdim, + stride_out_batch, stride_out_seqlen, stride_out_head, stride_out_hdim, + stride_dt_batch, stride_dt_chunk, stride_dt_head, stride_dt_csize, + stride_ddt_batch, stride_ddt_chunk, stride_ddt_head, stride_ddt_csize, + stride_x_batch, stride_x_seqlen, stride_x_head, stride_x_hdim, + stride_D_head, + stride_ddA_cs_batch, stride_ddA_cs_chunk, stride_ddA_cs_head, stride_ddA_cs_csize, + stride_dD_batch, stride_dD_chunk, stride_dD_head, stride_dD_csize, stride_dD_hdim, + # Meta-parameters + HAS_D: tl.constexpr, + D_HAS_HDIM: tl.constexpr, + SUBTRACT_DDTDT: tl.constexpr, + BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, +): + pid_bc = tl.program_id(axis=1) + pid_c = pid_bc // batch + pid_b = pid_bc - pid_c * batch + pid_h = tl.program_id(axis=2) + pid_m = tl.program_id(axis=0) + + dout_ptr += pid_b * stride_dout_batch + pid_c * chunk_size * stride_dout_seqlen + pid_h * stride_dout_head + out_ptr += pid_b * stride_out_batch + pid_c * chunk_size * stride_out_seqlen + pid_h * stride_out_head + dt_ptr += pid_b * stride_dt_batch + pid_c * stride_dt_chunk + pid_h * stride_dt_head + ddt_ptr += pid_b * stride_ddt_batch + pid_c * stride_ddt_chunk + pid_h * stride_ddt_head + ddA_cumsum_ptr += pid_b * stride_ddA_cs_batch + pid_c * stride_ddA_cs_chunk + pid_h * stride_ddA_cs_head + if HAS_D: + x_ptr += pid_b * stride_x_batch + pid_c * chunk_size * stride_x_seqlen + pid_h * stride_x_head + dD_ptr += pid_b * stride_dD_batch + pid_c * stride_dD_chunk + pid_h * stride_dD_head + pid_m * stride_dD_csize + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = tl.arange(0, BLOCK_SIZE_N) + dout_ptrs = dout_ptr + (offs_m[:, None] * stride_dout_seqlen + offs_n[None, :] * stride_dout_hdim) + out_ptrs = out_ptr + (offs_m[:, None] * stride_out_seqlen + offs_n[None, :] * stride_out_hdim) + if HAS_D: + x_ptrs = x_ptr + (offs_m[:, None] * stride_x_seqlen + offs_n[None, :] * stride_x_hdim) + if D_HAS_HDIM: + dD_ptrs = dD_ptr + offs_n * stride_dD_hdim + + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + dout = tl.load(dout_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0).to(tl.float32) + out = tl.load(out_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0).to(tl.float32) + if HAS_D: + x = tl.load(x_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0).to(tl.float32) + if D_HAS_HDIM: + dD = tl.sum(dout * x, axis=0) + tl.store(dD_ptrs, dD, mask=offs_n < hdim) + D = tl.load(D_ptr + pid_h * stride_D_head + offs_n, mask=offs_n < hdim, other=0.0).to(tl.float32) + else: + dD = tl.sum(dout * x) + tl.store(dD_ptr, dD) + D = tl.load(D_ptr + pid_h * stride_D_head).to(tl.float32) + out -= x * D + ddA_cs = tl.sum(dout * out, axis=1) + if SUBTRACT_DDTDT: + dt = tl.load(dt_ptr + offs_m * stride_dt_csize, mask=offs_m < chunk_size, other=0.0).to(tl.float32) + ddt = tl.load(ddt_ptr + offs_m * stride_ddt_csize, mask=offs_m < chunk_size, other=0.0).to(tl.float32) + ddA_cs -= dt * ddt + tl.store(ddA_cumsum_ptr + offs_m * stride_ddA_cs_csize, ddA_cs, mask=offs_m < chunk_size) + + +@triton.autotune( + configs=[ + # triton.Config({'BLOCK_SIZE_M': 16, 'BLOCK_SIZE_K': 32}, num_stages=3, num_warps=4), + # triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_K': 32}, num_stages=3, num_warps=4), + # triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_K': 32}, num_stages=3, num_warps=4), + # triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_K': 32}, num_stages=3, num_warps=4), + # triton.Config({'BLOCK_SIZE_M': 16, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=8), + # triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=8), + # triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=8), + # triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=8), + triton.Config({'BLOCK_SIZE_M': 16}, num_stages=3, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 32}, num_stages=3, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 64}, num_stages=3, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128}, num_stages=3, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 16}, num_stages=4, num_warps=8), + triton.Config({'BLOCK_SIZE_M': 32}, num_stages=4, num_warps=8), + triton.Config({'BLOCK_SIZE_M': 64}, num_stages=4, num_warps=8), + triton.Config({'BLOCK_SIZE_M': 128}, num_stages=4, num_warps=8), + ], + key=['chunk_size', 'hdim'], +) +@triton.jit +def _chunk_scan_bwd_ddAcs_stable_kernel_old( + # Pointers to matrices + x_ptr, dout_ptr, dt_ptr, dA_cumsum_ptr, cb_ptr, + ddAcs_ptr, + # Matrix dimensions + chunk_size, hdim, + batch, seqlen, nheads_ngroups_ratio, + # Strides + stride_x_batch, stride_x_seqlen, stride_x_head, stride_x_hdim, + stride_dout_batch, stride_dout_seqlen, stride_dout_head, stride_dout_hdim, + stride_dt_batch, stride_dt_chunk, stride_dt_head, stride_dt_csize, + stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, stride_dA_cs_csize, + stride_cb_batch, stride_cb_chunk, stride_cb_head, stride_cb_csize_m, stride_cb_csize_n, + stride_ddAcs_batch, stride_ddAcs_chunk, stride_ddAcs_head, stride_ddAcs_csize_m, stride_ddAcs_csize_n, + # Meta-parameters + BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr, +): + pid_bc = tl.program_id(axis=1) + pid_c = pid_bc // batch + pid_b = pid_bc - pid_c * batch + pid_h = tl.program_id(axis=2) + num_pid_n = tl.cdiv(chunk_size, BLOCK_SIZE_N) + pid_m = tl.program_id(axis=0) // num_pid_n + pid_n = tl.program_id(axis=0) % num_pid_n + + x_ptr += pid_b * stride_x_batch + pid_c * chunk_size * stride_x_seqlen + pid_h * stride_x_head + dout_ptr += pid_b * stride_dout_batch + pid_c * chunk_size * stride_dout_seqlen + pid_h * stride_dout_head + dt_ptr += pid_b * stride_dt_batch + pid_c * stride_dt_chunk + pid_h * stride_dt_head + dA_cumsum_ptr += pid_b * stride_dA_cs_batch + pid_c * stride_dA_cs_chunk + pid_h * stride_dA_cs_head + cb_ptr += pid_b * stride_cb_batch + pid_c * stride_cb_chunk + (pid_h // nheads_ngroups_ratio) * stride_cb_head + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + offs_k = tl.arange(0, BLOCK_SIZE_K) + dout_ptrs = dout_ptr + (offs_m[:, None] * stride_dout_seqlen + offs_k[None, :] * stride_dout_hdim) + x_ptrs = x_ptr + (offs_n[None, :] * stride_x_seqlen + offs_k[:, None] * stride_x_hdim) + dt_ptrs = dt_ptr + offs_n * stride_dt_csize + cb_ptrs = cb_ptr + (offs_m[:, None] * stride_cb_csize_m + offs_n[None, :] * stride_cb_csize_n) + + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + chunk_size_limit_n = min(chunk_size_limit, (pid_m + 1) * BLOCK_SIZE_M) + # Doing a matmul loop with cumsum later on will cause Triton to crash + # Instead we do just one big matmul + # acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32) + # for k in range(0, hdim, BLOCK_SIZE_K): + # dout = tl.load(dout_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < hdim - k), other=0.0) + # x = tl.load(x_ptrs, mask=(offs_k[:, None] < hdim - k) & (offs_n[None, :] < chunk_size_limit), other=0.0) + # acc += tl.dot(dout, x) + # dout_ptrs += BLOCK_SIZE_K * stride_dout_hdim + # x_ptrs += BLOCK_SIZE_K * stride_x_hdim + dout = tl.load(dout_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < hdim), other=0.0) + x = tl.load(x_ptrs, mask=(offs_k[:, None] < hdim) & (offs_n[None, :] < chunk_size_limit_n), other=0.0) + acc = tl.dot(dout, x) + cb = tl.load(cb_ptrs, mask=(offs_m[:, None] < chunk_size) & (offs_n[None, :] < chunk_size), other=0.0).to(tl.float32) + acc *= cb + dt_n = tl.load(dt_ptrs, mask=offs_n < chunk_size, other=0.0).to(tl.float32) + acc *= dt_n + dA_cs_m = tl.load(dA_cumsum_ptr + offs_m * stride_dA_cs_csize, mask=offs_m < chunk_size, other=0.0).to(tl.float32) + dA_cs_n = tl.load(dA_cumsum_ptr + offs_n * stride_dA_cs_csize, mask=offs_n < chunk_size, other=0.0).to(tl.float32) + acc *= tl.exp(dA_cs_m[:, None] - dA_cs_n[None, :]) + mask = offs_m[:, None] >= offs_n[None, :] + 1 + acc = tl.where(mask, acc, 0.0) + acc = tl.cumsum(acc, axis=1) + acc = tl.where(mask, acc, 0.0) + ddA_cs = tl.sum(acc, axis=0) + ddAcs_ptr += pid_b * stride_ddAcs_batch + pid_c * stride_ddAcs_chunk + pid_h * stride_ddAcs_head + pid_m * stride_ddAcs_csize_m + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + ddAcs_ptrs = ddAcs_ptr + offs_n * stride_ddAcs_csize_n + tl.store(ddAcs_ptrs + stride_ddAcs_csize_n, ddA_cs, mask=offs_n < chunk_size - 1) + tl.store(ddAcs_ptr, 0.0) + + # offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, 64) + # offs_k = tl.arange(0, BLOCK_SIZE_K) + # dout_ptrs = dout_ptr + (offs_m[:, None] * stride_dout_seqlen + offs_k[None, :] * stride_dout_hdim) + # x_ptrs = x_ptr + (offs_n[None, :] * stride_x_seqlen + offs_k[:, None] * stride_x_hdim) + # dt_ptrs = dt_ptr + offs_n * stride_dt_csize + # cb_ptrs = cb_ptr + (offs_m[:, None] * stride_cb_csize_m + offs_n[None, :] * stride_cb_csize_n) + + # chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + # chunk_size_limit_n = min(chunk_size_limit, (pid_m + 1) * BLOCK_SIZE_M) + # rowsum = tl.zeros((BLOCK_SIZE_M,), dtype=tl.float32) + # dout = tl.load(dout_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < hdim), other=0.0) + # dA_cs_m = tl.load(dA_cumsum_ptr + offs_m * stride_dA_cs_csize, mask=offs_m < chunk_size, other=0.0).to(tl.float32) + # ddAcs_ptr += pid_b * stride_ddAcs_batch + pid_c * stride_ddAcs_chunk + pid_h * stride_ddAcs_head + pid_m * stride_ddAcs_csize_m + # ddAcs_ptrs = ddAcs_ptr + offs_n * stride_ddAcs_csize_n + # for n in range(0, chunk_size_limit_n, 64): + # x = tl.load(x_ptrs, mask=(offs_k[:, None] < hdim) & (offs_n[None, :] < chunk_size_limit_n - n), other=0.0) + # acc = tl.dot(dout, x) + # cb = tl.load(cb_ptrs, mask=(offs_m[:, None] < chunk_size) & (offs_n[None, :] < chunk_size - n), other=0.0).to(tl.float32) + # acc *= cb + # dt_n = tl.load(dt_ptrs, mask=offs_n < chunk_size - n, other=0.0).to(tl.float32) + # acc *= dt_n + # dA_cs_n = tl.load(dA_cumsum_ptr + offs_n * stride_dA_cs_csize, mask=offs_n < chunk_size - n, other=0.0).to(tl.float32) + # acc *= tl.exp(dA_cs_m[:, None] - dA_cs_n[None, :]) + # mask = offs_m[:, None] >= offs_n[None, :] + 1 + n + # acc = tl.where(mask, acc, 0.0) + # acc = tl.cumsum(acc, axis=1) + # acc = tl.where(mask, acc, 0.0) + # ddA_cs = tl.sum(acc, axis=0) + # tl.store(ddAcs_ptrs, ddA_cs, mask=offs_n < chunk_size - 1 - n) + # # tl.store(ddAcs_ptr, 0.0) + + +@triton.autotune( + configs=[ + triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 32}, num_stages=3, num_warps=4), + # triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64}, num_stages=3, num_warps=4), + # triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 128}, num_stages=3, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32}, num_stages=3, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64}, num_stages=3, num_warps=4), + # triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128}, num_stages=3, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32}, num_stages=3, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64}, num_stages=3, num_warps=4), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 128}, num_stages=3, num_warps=4), + ], + key=['chunk_size', 'hdim'], +) +@triton.jit +def _chunk_scan_bwd_ddAcs_stable_kernel( + # Pointers to matrices + x_ptr, dout_ptr, dt_ptr, dA_cumsum_ptr, cb_ptr, + ddA_cumsum_ptr, + # Matrix dimensions + chunk_size, hdim, + batch, seqlen, nheads_ngroups_ratio, + # Strides + stride_x_batch, stride_x_seqlen, stride_x_head, stride_x_hdim, + stride_dout_batch, stride_dout_seqlen, stride_dout_head, stride_dout_hdim, + stride_dt_batch, stride_dt_chunk, stride_dt_head, stride_dt_csize, + stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, stride_dA_cs_csize, + stride_cb_batch, stride_cb_chunk, stride_cb_head, stride_cb_csize_m, stride_cb_csize_n, + stride_ddA_cs_batch, stride_ddA_cs_chunk, stride_ddA_cs_head, stride_ddA_cs_csize_m, stride_ddA_cs_csize_n, + # Meta-parameters + BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr, +): + pid_bc = tl.program_id(axis=1) + pid_c = pid_bc // batch + pid_b = pid_bc - pid_c * batch + pid_h = tl.program_id(axis=2) + pid_m = tl.program_id(axis=0) + + x_ptr += pid_b * stride_x_batch + pid_c * chunk_size * stride_x_seqlen + pid_h * stride_x_head + dout_ptr += pid_b * stride_dout_batch + pid_c * chunk_size * stride_dout_seqlen + pid_h * stride_dout_head + dt_ptr += pid_b * stride_dt_batch + pid_c * stride_dt_chunk + pid_h * stride_dt_head + dA_cumsum_ptr += pid_b * stride_dA_cs_batch + pid_c * stride_dA_cs_chunk + pid_h * stride_dA_cs_head + cb_ptr += pid_b * stride_cb_batch + pid_c * stride_cb_chunk + (pid_h // nheads_ngroups_ratio) * stride_cb_head + ddA_cumsum_ptr += pid_b * stride_ddA_cs_batch + pid_c * stride_ddA_cs_chunk + pid_h * stride_ddA_cs_head + pid_m * stride_ddA_cs_csize_m + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = tl.arange(0, BLOCK_SIZE_N) + offs_k = tl.arange(0, BLOCK_SIZE_K) + dout_ptrs = dout_ptr + (offs_m[:, None] * stride_dout_seqlen + offs_k[None, :] * stride_dout_hdim) + x_ptrs = x_ptr + (offs_n[None, :] * stride_x_seqlen + offs_k[:, None] * stride_x_hdim) + dt_ptrs = dt_ptr + offs_n * stride_dt_csize + cb_ptrs = cb_ptr + (offs_m[:, None] * stride_cb_csize_m + offs_n[None, :] * stride_cb_csize_n) + ddAcs_ptrs = ddA_cumsum_ptr + offs_n * stride_ddA_cs_csize_n + tl.store(ddA_cumsum_ptr, 0.0) + + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + rowsum = tl.zeros((BLOCK_SIZE_M,), dtype=tl.float32) + dout = tl.load(dout_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < hdim), other=0.0) + dA_cs_m = tl.load(dA_cumsum_ptr + offs_m * stride_dA_cs_csize, mask=offs_m < chunk_size, other=0.0).to(tl.float32) + # Actually hi is (pid_m + 1) * BLOCK_SIZE_M - 1 but subtracting 1 makes it slower + lo, hi = 0, (pid_m + 1) * BLOCK_SIZE_M + # lo, hi = 0, chunk_size + for start_n in range(lo, hi, BLOCK_SIZE_N): + start_n = tl.multiple_of(start_n, BLOCK_SIZE_N) + # Doing a matmul loop with cumsum later on will cause Triton to crash + # Instead we do just one big matmul + # acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32) + # for k in range(0, hdim, BLOCK_SIZE_K): + # dout = tl.load(dout_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < hdim - k), other=0.0) + # x = tl.load(x_ptrs, mask=(offs_k[:, None] < hdim - k) & (offs_n[None, :] < chunk_size_limit), other=0.0) + # acc += tl.dot(dout, x) + # dout_ptrs += BLOCK_SIZE_K * stride_dout_hdim + # x_ptrs += BLOCK_SIZE_K * stride_x_hdim + # x = tl.load(x_ptrs, mask=(offs_k[:, None] < hdim) & (offs_n[None, :] < chunk_size_limit_n), other=0.0) + x = tl.load(x_ptrs, mask=(offs_k[:, None] < hdim) & (offs_n[None, :] < chunk_size_limit - start_n), other=0.0) + acc = tl.dot(dout, x) + dt_n = tl.load(dt_ptrs, mask=offs_n < chunk_size - start_n, other=0.0).to(tl.float32) + acc *= dt_n + # If there's seq_idx, we already zero'ed out cb[i, j] for seq_idx[i] != seq_idx[j] + cb = tl.load(cb_ptrs, mask=(offs_m[:, None] < chunk_size) & (offs_n[None, :] < chunk_size - start_n), other=0.0).to(tl.float32) + acc *= cb + dA_cs_n = tl.load(dA_cumsum_ptr + (start_n + offs_n) * stride_dA_cs_csize, mask=offs_n < chunk_size - start_n, other=0.0).to(tl.float32) + acc *= tl.exp(dA_cs_m[:, None] - dA_cs_n[None, :]) + mask = offs_m[:, None] >= start_n + offs_n[None, :] + 1 + acc = tl.where(mask, acc, 0.0) + rowsum_new = rowsum + tl.sum(acc, axis=1) + acc = rowsum[:, None] + tl.cumsum(acc, axis=1) + rowsum = rowsum_new + acc = tl.where(mask, acc, 0.0) + ddA_cs = tl.sum(acc, axis=0) + tl.store(ddAcs_ptrs + stride_ddA_cs_csize_n, ddA_cs, mask=offs_n < chunk_size - start_n - 1) + x_ptrs += BLOCK_SIZE_N * stride_x_seqlen + dt_ptrs += BLOCK_SIZE_N * stride_dt_csize + cb_ptrs += BLOCK_SIZE_N * stride_cb_csize_n + ddAcs_ptrs += BLOCK_SIZE_N * stride_ddA_cs_csize_n + + # Need to zero out the rest, since we'll be summing the rows together + for start_n in range(hi, chunk_size, BLOCK_SIZE_N): + tl.store(ddAcs_ptrs + stride_ddA_cs_csize_n, tl.zeros((BLOCK_SIZE_N,), dtype=tl.float32), mask=offs_n < chunk_size - start_n - 1) + ddAcs_ptrs += BLOCK_SIZE_N * stride_ddA_cs_csize_n + + +@triton.autotune( + configs=[ + triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 128}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 32}, num_stages=3, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + ], + key=['chunk_size', 'dstate', 'hdim'], +) +@triton.jit +def _chunk_scan_bwd_ddAcs_prev_kernel( + # Pointers to matrices + dout_ptr, prev_states_ptr, C_ptr, dA_cumsum_ptr, seq_idx_ptr, + ddA_cumsum_ptr, + # Matrix dimensions + chunk_size, dstate, hdim, + batch, seqlen, nchunks, nheads_ngroups_ratio, + # Strides + stride_dout_batch, stride_dout_seqlen, stride_dout_head, stride_dout_hdim, + stride_prev_states_batch, stride_prev_states_chunk, stride_prev_states_head, stride_prev_states_hdim, stride_prev_states_dstate, + stride_C_batch, stride_C_seqlen, stride_C_head, stride_C_dstate, + stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, stride_dA_cs_csize, + stride_seq_idx_batch, stride_seq_idx_seqlen, + stride_ddA_cs_batch, stride_ddA_cs_chunk, stride_ddA_cs_head, stride_ddA_cs_csize, + # Meta-parameters + HAS_SEQ_IDX: tl.constexpr, + BLOCK_SIZE_M: tl.constexpr, BLOCK_SIZE_N: tl.constexpr, BLOCK_SIZE_K: tl.constexpr, +): + pid_bc = tl.program_id(axis=1) + pid_c = pid_bc // batch + pid_b = pid_bc - pid_c * batch + pid_h = tl.program_id(axis=2) + num_pid_n = tl.cdiv(dstate, BLOCK_SIZE_N) + pid_m = tl.program_id(axis=0) // num_pid_n + pid_n = tl.program_id(axis=0) % num_pid_n + dout_ptr += pid_b * stride_dout_batch + pid_c * chunk_size * stride_dout_seqlen + pid_h * stride_dout_head + prev_states_ptr += pid_b * stride_prev_states_batch + pid_c * stride_prev_states_chunk + pid_h * stride_prev_states_head + C_ptr += pid_b * stride_C_batch + pid_c * chunk_size * stride_C_seqlen + (pid_h // nheads_ngroups_ratio) * stride_C_head + ddA_cumsum_ptr += pid_b * stride_ddA_cs_batch + pid_c * stride_ddA_cs_chunk + pid_h * stride_ddA_cs_head + dA_cumsum_ptr += pid_b * stride_dA_cs_batch + pid_c * stride_dA_cs_chunk + pid_h * stride_dA_cs_head + if HAS_SEQ_IDX: + seq_idx_ptr += pid_b * stride_seq_idx_batch + pid_c * chunk_size * stride_seq_idx_seqlen + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + offs_k = tl.arange(0, BLOCK_SIZE_K) + dout_ptrs = dout_ptr + (offs_m[:, None] * stride_dout_seqlen + offs_k[None, :] * stride_dout_hdim) + prev_states_ptrs = prev_states_ptr + (offs_n[None, :] * stride_prev_states_dstate + offs_k[:, None] * stride_prev_states_hdim) + C_ptrs = C_ptr + (offs_m[:, None] * stride_C_seqlen + offs_n[None, :] * stride_C_dstate) + dA_cumsum_ptrs = dA_cumsum_ptr + offs_m * stride_dA_cs_csize + + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + dout = tl.load(dout_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < hdim), other=0.0) + prev_states = tl.load(prev_states_ptrs, mask=(offs_k[:, None] < hdim) & (offs_n[None, :] < dstate), other=0.0) + prev_states = prev_states.to(dout_ptrs.dtype.element_ty) + acc = tl.dot(dout, prev_states) + c = tl.load(C_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < dstate), other=0.0).to(tl.float32) + ddA_cs = tl.sum(acc * c, axis=1) + dA_cs_m = tl.load(dA_cumsum_ptrs, mask=offs_m < chunk_size_limit, other=0.0).to(tl.float32) + if not HAS_SEQ_IDX: + scale = tl.exp(dA_cs_m) + if HAS_SEQ_IDX: + seq_idx_prev = tl.load(seq_idx_ptr - stride_seq_idx_seqlen, mask=pid_c >= 1, other=0) + seq_idx_m = tl.load(seq_idx_ptr + offs_m * stride_seq_idx_seqlen, mask=offs_m < chunk_size_limit, other=-1) + scale = tl.where(seq_idx_m == seq_idx_prev, tl.exp(dA_cs_m), 0.0) + ddA_cs *= scale + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + ddA_cumsum_ptrs = ddA_cumsum_ptr + offs_m * stride_ddA_cs_csize + tl.atomic_add(ddA_cumsum_ptrs, ddA_cs, mask=offs_m < chunk_size) + + +def _chunk_scan_fwd(cb, x, dt, dA_cumsum, C, states, D=None, z=None, seq_idx=None): + batch, seqlen, nheads, headdim = x.shape + _, _, nchunks, chunk_size = dt.shape + _, _, ngroups, dstate = C.shape + assert nheads % ngroups == 0 + assert C.shape == (batch, seqlen, ngroups, dstate) + assert cb.shape == (batch, nchunks, ngroups, chunk_size, chunk_size) + if z is not None: + assert z.shape == x.shape + if D is not None: + assert D.shape == (nheads, headdim) or D.shape == (nheads,) + assert dt.shape == (batch, nheads, nchunks, chunk_size) + assert dA_cumsum.shape == (batch, nheads, nchunks, chunk_size) + assert states.shape == (batch, nchunks, nheads, headdim, dstate) + if seq_idx is not None: + assert seq_idx.shape == (batch, seqlen) + # Allocates output. + out = torch.empty(batch, seqlen, nheads, headdim, device=x.device, dtype=x.dtype) + if z is not None: + out_x = torch.empty(batch, seqlen, nheads, headdim, device=x.device, dtype=x.dtype) + assert out_x.stride() == out.stride() + else: + out_x = None + grid = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']) * triton.cdiv(headdim, META['BLOCK_SIZE_N']), + batch * nchunks, nheads) + z_strides = ((z.stride(0), z.stride(1), z.stride(2), z.stride(3)) + if z is not None else (0, 0, 0, 0)) + _chunk_scan_fwd_kernel[grid]( + cb, x, z, out, out_x, dt, dA_cumsum, seq_idx, C, states, D, + chunk_size, headdim, dstate, + batch, seqlen, nheads // ngroups, + cb.stride(0), cb.stride(1), cb.stride(2), cb.stride(3), cb.stride(4), + x.stride(0), x.stride(1), x.stride(2), x.stride(3), + z_strides[0], z_strides[1], z_strides[2], z_strides[3], + out.stride(0), out.stride(1), out.stride(2), out.stride(3), + dt.stride(0), dt.stride(2), dt.stride(1), dt.stride(3), + dA_cumsum.stride(0), dA_cumsum.stride(2), dA_cumsum.stride(1), dA_cumsum.stride(3), + *((seq_idx.stride(0), seq_idx.stride(1)) if seq_idx is not None else (0, 0)), + C.stride(0), C.stride(1), C.stride(2), C.stride(3), + states.stride(0), states.stride(1), states.stride(2), states.stride(3), states.stride(4), + D.stride(0) if D is not None else 0, + True, + D is not None, + D.dim() == 2 if D is not None else True, + BLOCK_SIZE_DSTATE=max(triton.next_power_of_2(dstate), 16), + HAS_Z=z is not None, + HAS_SEQ_IDX=seq_idx is not None, + IS_TRITON_22=TRITON_22, + ) + return out, out_x + + +def _chunk_scan_fwd_wip(cb, x, dt, dA_cumsum, C, B, states, D=None, z=None, seq_idx=None): + batch, seqlen, nheads, headdim = x.shape + _, _, nchunks, chunk_size = dt.shape + _, _, ngroups, dstate = C.shape + assert nheads % ngroups == 0 + assert C.shape == (batch, seqlen, ngroups, dstate) + assert B.shape == C.shape + assert cb.shape == (batch, nchunks, ngroups, chunk_size, chunk_size) + if z is not None: + assert z.shape == x.shape + if D is not None: + assert D.shape == (nheads, headdim) or D.shape == (nheads,) + assert dt.shape == (batch, nheads, nchunks, chunk_size) + assert dA_cumsum.shape == (batch, nheads, nchunks, chunk_size) + assert states.shape == (batch, nchunks, nheads, headdim, dstate) + if seq_idx is not None: + assert seq_idx.shape == (batch, seqlen) + # Allocates output. + out = torch.empty(batch, seqlen, nheads, headdim, device=x.device, dtype=x.dtype) + if z is not None: + out_x = torch.empty(batch, seqlen, nheads, headdim, device=x.device, dtype=x.dtype) + assert out_x.stride() == out.stride() + else: + out_x = None + grid = lambda META: (triton.cdiv(headdim, META['BLOCK_SIZE_N']), batch * nchunks, nheads) + z_strides = ((z.stride(0), z.stride(1), z.stride(2), z.stride(3)) + if z is not None else (0, 0, 0, 0)) + _chunk_scan_fwd_kernel_wip[grid]( + cb, x, z, out, out_x, dt, dA_cumsum, seq_idx, C, B, states, D, + chunk_size, headdim, dstate, + batch, seqlen, nheads // ngroups, + cb.stride(0), cb.stride(1), cb.stride(2), cb.stride(3), cb.stride(4), + x.stride(0), x.stride(1), x.stride(2), x.stride(3), + z_strides[0], z_strides[1], z_strides[2], z_strides[3], + out.stride(0), out.stride(1), out.stride(2), out.stride(3), + dt.stride(0), dt.stride(2), dt.stride(1), dt.stride(3), + dA_cumsum.stride(0), dA_cumsum.stride(2), dA_cumsum.stride(1), dA_cumsum.stride(3), + *((seq_idx.stride(0), seq_idx.stride(1)) if seq_idx is not None else (0, 0)), + C.stride(0), C.stride(1), C.stride(2), C.stride(3), + B.stride(0), B.stride(1), B.stride(2), B.stride(3), + states.stride(0), states.stride(1), states.stride(2), states.stride(3), states.stride(4), + D.stride(0) if D is not None else 0, + D is not None, + D.dim() == 2 if D is not None else True, + BLOCK_SIZE_DSTATE=max(triton.next_power_of_2(dstate), 16), + BLOCK_SIZE_M=128, + HAS_Z=z is not None, + HAS_SEQ_IDX=seq_idx is not None, + ) + return out, out_x + + +def _chunk_scan_bwd_dz(x, z, out, dout, chunk_size, has_ddAcs=True, D=None, dz=None, recompute_output=False): + batch, seqlen, nheads, headdim = x.shape + assert z.shape == x.shape + assert out.shape == x.shape + assert dout.shape == out.shape + nchunks = math.ceil(seqlen / chunk_size) + if D is not None: + assert D.shape == (nheads, headdim) or D.shape == (nheads,) + assert D.stride(-1) == 1 + if has_ddAcs: + ddA_cumsum = torch.empty(batch, nheads, nchunks, chunk_size, device=x.device, dtype=torch.float32) + if D is not None: + BLOCK_SIZE_min = 32 + dD = torch.empty(triton.cdiv(chunk_size, BLOCK_SIZE_min), batch, nchunks, nheads, + headdim if D.dim() == 2 else 1, device=D.device, dtype=torch.float32) + else: + dD = None + if dz is not None: + assert dz.shape == z.shape + else: + dz = torch.empty_like(z) + if recompute_output: + outz = torch.empty_like(x) + dout_x = torch.empty_like(dout) + dD_strides = ((dD.stride(0), dD.stride(1), dD.stride(2), dD.stride(3), dD.stride(4)) + if D is not None else (0, 0, 0, 0, 0)) + grid_dz = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']), batch * nchunks, nheads) + with torch.cuda.device(x.device.index): + _chunk_scan_bwd_dz_kernel[grid_dz]( + dout, out, z, x, D, outz if recompute_output else None, + dz, dout_x, dD, ddA_cumsum if has_ddAcs else None, + chunk_size, headdim, + batch, seqlen, + dout.stride(0), dout.stride(1), dout.stride(2), dout.stride(3), + out.stride(0), out.stride(1), out.stride(2), out.stride(3), + z.stride(0), z.stride(1), z.stride(2), z.stride(3), + x.stride(0), x.stride(1), x.stride(2), x.stride(3), + D.stride(0) if D is not None else 0, + *((outz.stride(0), outz.stride(1), outz.stride(2), outz.stride(3)) if recompute_output else (0, 0, 0, 0)), + dz.stride(0), dz.stride(1), dz.stride(2), dz.stride(3), + dout_x.stride(0), dout_x.stride(1), dout_x.stride(2), dout_x.stride(3), + dD_strides[1], dD_strides[2], dD_strides[3], dD_strides[0], dD_strides[4], + *((ddA_cumsum.stride(0), ddA_cumsum.stride(2), ddA_cumsum.stride(1), ddA_cumsum.stride(3)) + if has_ddAcs else (0, 0, 0, 0)), + D is not None, + D.dim() == 2 if D is not None else True, + has_ddAcs, + BLOCK_SIZE_N=max(triton.next_power_of_2(headdim), 16), + RECOMPUTE_OUTPUT=recompute_output, + ) + if D is not None: + BLOCK_SIZE_actual = _chunk_scan_bwd_dz_kernel.best_config.kwargs["BLOCK_SIZE_M"] + n_valid_blocks = (chunk_size + BLOCK_SIZE_actual - 1) // BLOCK_SIZE_actual + dD = dD[:n_valid_blocks].sum(dim=(0, 1, 2)).to(dtype=D.dtype) + if D.dim() == 1: + dD = rearrange(dD, "h 1 -> h") + return_vals = (dz, dout_x, dD, ddA_cumsum) if has_ddAcs else (dz, dout_x, dD) + return return_vals if not recompute_output else (*return_vals, outz) + + +def _chunk_scan_bwd_dstates(C, dA_cumsum, dout, seq_idx=None, dtype=None): + batch, seqlen, nheads, headdim = dout.shape + _, _, nchunks, chunk_size = dA_cumsum.shape + _, _, ngroups, dstate = C.shape + assert nheads % ngroups == 0 + assert C.shape == (batch, seqlen, ngroups, dstate) + assert dA_cumsum.shape == (batch, nheads, nchunks, chunk_size) + if seq_idx is not None: + assert seq_idx.shape == (batch, seqlen) + dtype = C.dtype if dtype is None else dtype + dprev_states = torch.empty(batch, nchunks, nheads, headdim, dstate, device=C.device, dtype=dtype) + grid_dstates = lambda META: (triton.cdiv(headdim, META['BLOCK_SIZE_M']) * triton.cdiv(dstate, META['BLOCK_SIZE_N']), + batch * nchunks, nheads) + with torch.cuda.device(C.device.index): + _chunk_scan_bwd_dstates_kernel[grid_dstates]( + dout, C, dprev_states, dA_cumsum, seq_idx, + headdim, dstate, chunk_size, + batch, seqlen, nchunks, nheads // ngroups, + dout.stride(0), dout.stride(1), dout.stride(2), dout.stride(3), + C.stride(0), C.stride(1), C.stride(2), C.stride(3), + dprev_states.stride(0), dprev_states.stride(1), dprev_states.stride(2), dprev_states.stride(3), dprev_states.stride(4), + dA_cumsum.stride(0), dA_cumsum.stride(2), dA_cumsum.stride(1), dA_cumsum.stride(3), + *((seq_idx.stride(0), seq_idx.stride(1)) if seq_idx is not None else (0, 0)), + HAS_SEQ_IDX=seq_idx is not None, + ) + return dprev_states + + +def _chunk_scan_bwd_dC(prev_states, dA_cumsum, dout, seq_idx=None, C=None, ngroups=1): + batch, nchunks, nheads, headdim, dstate = prev_states.shape + _, seqlen, _, _ = dout.shape + _, _, _, chunk_size = dA_cumsum.shape + assert prev_states.shape == (batch, nchunks, nheads, headdim, dstate) + assert dA_cumsum.shape == (batch, nheads, nchunks, chunk_size) + assert dout.shape == (batch, seqlen, nheads, headdim) + if seq_idx is not None: + assert seq_idx.shape == (batch, seqlen) + if C is not None: + assert C.shape == (batch, seqlen, ngroups, dstate) + C_strides = (C.stride(0), C.stride(1), C.stride(2), C.stride(3)) + ddA_cumsum_prev = torch.empty(batch, nheads, nchunks, chunk_size, device=dout.device, dtype=torch.float32) + ddA_cumsum_prev_strides = (ddA_cumsum_prev.stride(0), ddA_cumsum_prev.stride(2), ddA_cumsum_prev.stride(1), ddA_cumsum_prev.stride(3)) + else: + C_strides = (0, 0, 0, 0) + ddA_cumsum_prev = None + ddA_cumsum_prev_strides = (0, 0, 0, 0) + nheads_ngroups_ratio = nheads // ngroups + sm_count = torch.cuda.get_device_properties(dout.device).multi_processor_count + nheads_per_program = max(min(math.ceil(batch * nchunks * nheads / sm_count), nheads_ngroups_ratio), 1) + nsplits = triton.cdiv(nheads_ngroups_ratio, nheads_per_program) + dC = torch.empty(batch, seqlen, nsplits, ngroups, dstate, device=dout.device, dtype=torch.float32) + grid_dc = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']) * triton.cdiv(dstate, META['BLOCK_SIZE_N']), + batch * nchunks, nsplits * ngroups) + with torch.cuda.device(dout.device.index): + _chunk_scan_bwd_dc_kernel[grid_dc]( + dout, prev_states, C, dA_cumsum, seq_idx, dC, ddA_cumsum_prev, + chunk_size, dstate, headdim, + batch, seqlen, nheads, nheads_per_program, ngroups, + dout.stride(0), dout.stride(1), dout.stride(2), dout.stride(3), + prev_states.stride(0), prev_states.stride(1), prev_states.stride(2), prev_states.stride(3), prev_states.stride(4), + *C_strides, + dA_cumsum.stride(0), dA_cumsum.stride(2), dA_cumsum.stride(1), dA_cumsum.stride(3), + *((seq_idx.stride(0), seq_idx.stride(1)) if seq_idx is not None else (0, 0)), + dC.stride(0), dC.stride(1), dC.stride(2), dC.stride(3), dC.stride(4), + *ddA_cumsum_prev_strides, + HAS_DDA_CS=ddA_cumsum_prev is not None, + HAS_SEQ_IDX=seq_idx is not None, + BLOCK_SIZE_K=max(triton.next_power_of_2(headdim), 16), + ) + dC = dC.sum(2) + return dC if C is None else (dC, ddA_cumsum_prev) + + +def _chunk_scan_bwd_dcb(x, dt, dA_cumsum, dout, seq_idx=None, CB=None, ngroups=1): + batch, seqlen, nheads, headdim = x.shape + _, _, nchunks, chunk_size = dt.shape + assert dt.shape == (batch, nheads, nchunks, chunk_size) + assert dA_cumsum.shape == dt.shape + assert dout.shape == x.shape + if seq_idx is not None: + assert seq_idx.shape == (batch, seqlen) + if CB is not None: + assert CB.shape == (batch, nchunks, ngroups, chunk_size, chunk_size) + CB_strides = (CB.stride(0), CB.stride(1), CB.stride(2), CB.stride(3), CB.stride(4)) + BLOCK_SIZE_M_min = 16 + ddA_cumsum = torch.empty(batch, nheads, nchunks, triton.cdiv(chunk_size, BLOCK_SIZE_M_min), + chunk_size, device=x.device, dtype=torch.float32) + ddA_cumsum_strides = (ddA_cumsum.stride(0), ddA_cumsum.stride(2), ddA_cumsum.stride(1), ddA_cumsum.stride(3), ddA_cumsum.stride(4)) + else: + CB_strides = (0, 0, 0, 0, 0) + ddA_cumsum = None + ddA_cumsum_strides = (0, 0, 0, 0, 0) + nheads_ngroups_ratio = nheads // ngroups + sm_count = torch.cuda.get_device_properties(x.device).multi_processor_count + nheads_per_program = max(min(math.ceil(batch * nchunks * nheads / sm_count), nheads_ngroups_ratio), 1) + nsplits = triton.cdiv(nheads_ngroups_ratio, nheads_per_program) + dcb = torch.empty(batch, nchunks, nsplits, ngroups, chunk_size, chunk_size, device=x.device, dtype=torch.float32) + grid_dcb = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']) * triton.cdiv(chunk_size, META['BLOCK_SIZE_N']), + batch * nchunks, nsplits * ngroups) + with torch.cuda.device(x.device.index): + _chunk_scan_bwd_dcb_kernel[grid_dcb]( + x, dout, CB, dt, dA_cumsum, seq_idx, dcb, ddA_cumsum, + chunk_size, headdim, + batch, seqlen, nheads, nheads_per_program, ngroups, + x.stride(0), x.stride(1), x.stride(2), x.stride(3), + dout.stride(0), dout.stride(1), dout.stride(2), dout.stride(3), + *CB_strides, + dt.stride(0), dt.stride(2), dt.stride(1), dt.stride(3), + dA_cumsum.stride(0), dA_cumsum.stride(2), dA_cumsum.stride(1), dA_cumsum.stride(3), + *((seq_idx.stride(0), seq_idx.stride(1)) if seq_idx is not None else (0, 0)), + dcb.stride(0), dcb.stride(1), dcb.stride(2), dcb.stride(3), dcb.stride(4), dcb.stride(5), + *ddA_cumsum_strides, + HAS_DDA_CS=ddA_cumsum is not None, + HAS_SEQ_IDX=seq_idx is not None, + BLOCK_SIZE_K=max(triton.next_power_of_2(headdim), 16), + ) + dcb = dcb.sum(2) + if ddA_cumsum is not None: + BLOCK_SIZE_M_actual = _chunk_scan_bwd_dcb_kernel.best_config.kwargs["BLOCK_SIZE_M"] + n_valid_blocks = (chunk_size + BLOCK_SIZE_M_actual - 1) // BLOCK_SIZE_M_actual + ddA_cumsum = ddA_cumsum[:, :, :, :n_valid_blocks].sum(dim=3) + return dcb if CB is None else (dcb, ddA_cumsum) + + +def _chunk_scan_bwd_dx(cb, x, dt, dA_cumsum, dout, D=None): + batch, seqlen, nheads, headdim = x.shape + _, _, nchunks, chunk_size = dt.shape + ngroups = cb.shape[2] + assert nheads % ngroups == 0 + assert cb.shape == (batch, nchunks, ngroups, chunk_size, chunk_size) + assert dt.shape == (batch, nheads, nchunks, chunk_size) + assert dA_cumsum.shape == dt.shape + assert dout.shape == x.shape + # if D is not None: + # BLOCK_SIZE_M_min = 32 + # dD = torch.empty(triton.cdiv(chunk_size, BLOCK_SIZE_M_min), batch, nchunks, nheads, headdim, device=D.device, dtype=torch.float32) + # else: + # dD = None + dx = torch.empty_like(x) + ddt = torch.empty(batch, nheads, nchunks, chunk_size, device=dout.device, dtype=torch.float32) + grid_dx = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']) * triton.cdiv(headdim, META['BLOCK_SIZE_N']), + batch * nchunks, nheads) + with torch.cuda.device(x.device.index): + _chunk_scan_bwd_dx_kernel[grid_dx]( + x, cb, dout, dt, dA_cumsum, D, dx, ddt, # dD, + chunk_size, headdim, + batch, seqlen, nheads // ngroups, + x.stride(0), x.stride(1), x.stride(2), x.stride(3), + cb.stride(0), cb.stride(1), cb.stride(2), cb.stride(-1), cb.stride(-2), + dout.stride(0), dout.stride(1), dout.stride(2), dout.stride(3), + dt.stride(0), dt.stride(2), dt.stride(1), dt.stride(3), + dA_cumsum.stride(0), dA_cumsum.stride(2), dA_cumsum.stride(1), dA_cumsum.stride(3), + D.stride(0) if D is not None else 0, + dx.stride(0), dx.stride(1), dx.stride(2), dx.stride(3), + ddt.stride(0), ddt.stride(2), ddt.stride(1), ddt.stride(3), + # dD.stride(1) if dD is not None else 0, dD.stride(2) if dD is not None else 0, dD.stride(3) if dD is not None else 0, dD.stride(4) if dD is not None else 0, dD.stride(0) if dD is not None else 0, + D is not None, + D.dim() == 2 if D is not None else True, + ) + # if D is not None: + # BLOCK_SIZE_actual = _chunk_scan_bwd_dx_kernel.best_config.kwargs["BLOCK_SIZE_M"] + # n_valid_blocks = (chunk_size + BLOCK_SIZE_actual - 1) // BLOCK_SIZE_actual + # dD = dD[:n_valid_blocks].sum(dim=(0, 1, 2)).to(dtype=D.dtype) + return dx, ddt.to(dtype=dt.dtype) + + +def _chunk_scan_bwd_ddAcs_unstable(x, dt, out, dout, ddt, D=None, subtract_ddtdt=True): + """Not numerically stable and should not be used. Leaving here for reference. + """ + + batch, seqlen, nheads, headdim = x.shape + _, _, nchunks, chunk_size = dt.shape + assert dt.shape == (batch, nheads, nchunks, chunk_size) + assert ddt.shape == dt.shape + assert out.shape == x.shape + assert dout.shape == x.shape + if D is not None: + assert D.shape == (nheads, headdim) or D.shape == (nheads,) + ddA_cumsum = torch.empty_like(dt) + grid_ddtcs = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']), batch * nchunks, nheads) + if D is not None: # Triton gives wrong results if we write to the same location + BLOCK_SIZE_min = 32 + dD = torch.empty(triton.cdiv(chunk_size, BLOCK_SIZE_min), batch, nchunks, nheads, + headdim if D.dim() == 2 else 1, device=D.device, dtype=torch.float32) + else: + dD = None + dD_strides = ((dD.stride(0), dD.stride(1), dD.stride(2), dD.stride(3), dD.stride(4)) + if D is not None else (0, 0, 0, 0, 0)) + with torch.cuda.device(x.device.index): + _chunk_scan_bwd_ddAcs_unstable_kernel[grid_ddtcs]( + dout, out, dt, ddt, x, D, ddA_cumsum, dD, + chunk_size, headdim, + batch, seqlen, + dout.stride(0), dout.stride(1), dout.stride(2), dout.stride(3), + out.stride(0), out.stride(1), out.stride(2), out.stride(3), + dt.stride(0), dt.stride(2), dt.stride(1), dt.stride(3), + ddt.stride(0), ddt.stride(2), ddt.stride(1), ddt.stride(3), + x.stride(0), x.stride(1), x.stride(2), x.stride(3), + D.stride(0) if D is not None else 0, + ddA_cumsum.stride(0), ddA_cumsum.stride(2), ddA_cumsum.stride(1), ddA_cumsum.stride(3), + dD_strides[1], dD_strides[2], dD_strides[3], dD_strides[0], dD_strides[4], + D is not None, + D.dim() == 2 if D is not None else True, + subtract_ddtdt, + BLOCK_SIZE_N=max(triton.next_power_of_2(headdim), 16), + ) + if D is not None: + BLOCK_SIZE_actual = _chunk_scan_bwd_ddAcs_unstable_kernel.best_config.kwargs["BLOCK_SIZE_M"] + n_valid_blocks = (chunk_size + BLOCK_SIZE_actual - 1) // BLOCK_SIZE_actual + dD = dD[:n_valid_blocks].sum(dim=(0, 1, 2)).to(dtype=D.dtype) + if D.dim() == 1: + dD = rearrange(dD, "h 1 -> h") + return ddA_cumsum, dD + + +def _chunk_scan_bwd_ddAcs_stable_old(x, dt, dA_cumsum, dout, cb): + batch, seqlen, nheads, headdim = x.shape + _, _, nchunks, chunk_size = dt.shape + assert dt.shape == (batch, nheads, nchunks, chunk_size) + assert dout.shape == x.shape + assert dA_cumsum.shape == dt.shape + ngroups = cb.shape[2] + assert nheads % ngroups == 0 + assert cb.shape == (batch, nchunks, ngroups, chunk_size, chunk_size) + BLOCK_SIZE_M_min = 16 + ddA_cumsum = torch.empty(batch, nheads, nchunks, triton.cdiv(chunk_size, BLOCK_SIZE_M_min), + chunk_size, device=x.device, dtype=torch.float32) + grid_ddtcs = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']), batch * nchunks, nheads) + with torch.cuda.device(x.device.index): + _chunk_scan_bwd_ddAcs_stable_kernel_old[grid_ddtcs]( + x, dout, dt, dA_cumsum, cb, ddA_cumsum, + chunk_size, headdim, + batch, seqlen, nheads // ngroups, + x.stride(0), x.stride(1), x.stride(2), x.stride(3), + dout.stride(0), dout.stride(1), dout.stride(2), dout.stride(3), + dt.stride(0), dt.stride(2), dt.stride(1), dt.stride(3), + dA_cumsum.stride(0), dA_cumsum.stride(2), dA_cumsum.stride(1), dA_cumsum.stride(3), + cb.stride(0), cb.stride(1), cb.stride(2), cb.stride(3), cb.stride(4), + ddA_cumsum.stride(0), ddA_cumsum.stride(2), ddA_cumsum.stride(1), ddA_cumsum.stride(3), ddA_cumsum.stride(4), + BLOCK_SIZE_K=max(triton.next_power_of_2(headdim), 16), + BLOCK_SIZE_N=max(triton.next_power_of_2(chunk_size), 16), + ) + BLOCK_SIZE_M_actual = _chunk_scan_bwd_ddAcs_stable_kernel_old.best_config.kwargs["BLOCK_SIZE_M"] + n_valid_blocks = (chunk_size + BLOCK_SIZE_M_actual - 1) // BLOCK_SIZE_M_actual + ddA_cumsum = ddA_cumsum[:, :, :, :n_valid_blocks].sum(dim=3) + return ddA_cumsum + + +def _chunk_scan_bwd_ddAcs_stable(x, dt, dA_cumsum, dout, cb): + batch, seqlen, nheads, headdim = x.shape + _, _, nchunks, chunk_size = dt.shape + assert dt.shape == (batch, nheads, nchunks, chunk_size) + assert dout.shape == x.shape + assert dA_cumsum.shape == dt.shape + ngroups = cb.shape[2] + assert nheads % ngroups == 0 + assert cb.shape == (batch, nchunks, ngroups, chunk_size, chunk_size) + BLOCK_SIZE_M_min = 32 + ddA_cumsum = torch.empty(batch, nheads, nchunks, triton.cdiv(chunk_size, BLOCK_SIZE_M_min), + chunk_size, device=x.device, dtype=torch.float32) + grid_ddtcs = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']), batch * nchunks, nheads) + with torch.cuda.device(x.device.index): + _chunk_scan_bwd_ddAcs_stable_kernel[grid_ddtcs]( + x, dout, dt, dA_cumsum, cb, ddA_cumsum, + chunk_size, headdim, + batch, seqlen, nheads // ngroups, + x.stride(0), x.stride(1), x.stride(2), x.stride(3), + dout.stride(0), dout.stride(1), dout.stride(2), dout.stride(3), + dt.stride(0), dt.stride(2), dt.stride(1), dt.stride(3), + dA_cumsum.stride(0), dA_cumsum.stride(2), dA_cumsum.stride(1), dA_cumsum.stride(3), + cb.stride(0), cb.stride(1), cb.stride(2), cb.stride(3), cb.stride(4), + ddA_cumsum.stride(0), ddA_cumsum.stride(2), ddA_cumsum.stride(1), ddA_cumsum.stride(3), ddA_cumsum.stride(4), + BLOCK_SIZE_K=max(triton.next_power_of_2(headdim), 16), + ) + BLOCK_SIZE_M_actual = _chunk_scan_bwd_ddAcs_stable_kernel.best_config.kwargs["BLOCK_SIZE_M"] + n_valid_blocks = (chunk_size + BLOCK_SIZE_M_actual - 1) // BLOCK_SIZE_M_actual + ddA_cumsum = ddA_cumsum[:, :, :, :n_valid_blocks].sum(dim=3) + return ddA_cumsum + + +def _chunk_scan_bwd_ddAcs_prev(prev_states, C, dout, dA_cumsum, seq_idx=None): + batch, nchunks, nheads, headdim, dstate = prev_states.shape + _, seqlen, _, _ = dout.shape + _, _, _, chunk_size = dA_cumsum.shape + assert prev_states.shape == (batch, nchunks, nheads, headdim, dstate) + assert dA_cumsum.shape == (batch, nheads, nchunks, chunk_size) + assert dout.shape == (batch, seqlen, nheads, headdim) + ngroups = C.shape[2] + assert nheads % ngroups == 0 + assert C.shape == (batch, seqlen, ngroups, dstate) + if seq_idx is not None: + assert seq_idx.shape == (batch, seqlen) + ddA_cumsum_prev = torch.empty(batch, nheads, nchunks, chunk_size, device=dout.device, dtype=torch.float32) + grid_ddAcs = lambda META: (triton.cdiv(chunk_size, META['BLOCK_SIZE_M']) * triton.cdiv(dstate, META['BLOCK_SIZE_N']), + batch * nchunks, nheads) + with torch.cuda.device(dout.device.index): + _chunk_scan_bwd_ddAcs_prev_kernel[grid_ddAcs]( + dout, prev_states, C, dA_cumsum, seq_idx, ddA_cumsum_prev, + chunk_size, dstate, headdim, + batch, seqlen, nchunks, nheads // ngroups, + dout.stride(0), dout.stride(1), dout.stride(2), dout.stride(3), + prev_states.stride(0), prev_states.stride(1), prev_states.stride(2), prev_states.stride(3), prev_states.stride(4), + C.stride(0), C.stride(1), C.stride(2), C.stride(3), + dA_cumsum.stride(0), dA_cumsum.stride(2), dA_cumsum.stride(1), dA_cumsum.stride(3), + *((seq_idx.stride(0), seq_idx.stride(1)) if seq_idx is not None else (0, 0)), + ddA_cumsum_prev.stride(0), ddA_cumsum_prev.stride(2), ddA_cumsum_prev.stride(1), ddA_cumsum_prev.stride(3), + HAS_SEQ_IDX=seq_idx is not None, + BLOCK_SIZE_K=max(triton.next_power_of_2(headdim), 16), + ) + return ddA_cumsum_prev + + +class ChunkScanFn(torch.autograd.Function): + + @staticmethod + def forward(ctx, B, C, x, dt, dA_cumsum, prev_states, D=None, z=None): + # Check constraints. + batch, seqlen, nheads, headdim = x.shape + _, _, ngroups, dstate = B.shape + assert B.shape == (batch, seqlen, ngroups, dstate) + _, _, nchunks, chunk_size = dt.shape + assert seqlen == nchunks * chunk_size + assert C.shape == B.shape + if z is not None: + assert z.shape == x.shape + if D is not None: + assert D.shape == (nheads, headdim) or D.shape == (nheads,) + assert dt.shape == (batch, nheads, nchunks, chunk_size) + assert dA_cumsum.shape == (batch, nheads, nchunks, chunk_size) + assert prev_states.shape == (batch, nchunks, nheads, headdim, dstate) + if B.stride(-1) != 1: + B = B.contiguous() + if C.stride(-1) != 1: + C = C.contiguous() + if x.stride(-1) != 1 and x.stride(1) != 1: # Either M or K dimension should be contiguous + x = x.contiguous() + if z is not None and z.stride(-1) != 1 and z.stride(1) != 1: # Either M or K dimension should be contiguous + z = z.contiguous() + if D is not None and D.stride(-1) != 1: + D = D.contiguous() + CB = _bmm_chunk_fwd(C, B, chunk_size) + out, out_x = _chunk_scan_fwd(CB, x, dt, dA_cumsum, C, prev_states, D=D, z=z) + ctx.save_for_backward(out if z is None else out_x, B, C, CB, x, dt, dA_cumsum, prev_states, D, z) + return out + + @staticmethod + def backward(ctx, dout): + if dout.stride(-1) != 1: + dout = dout.contiguous() + out, B, C, CB, x, dt, dA_cumsum, prev_states, D, z = ctx.saved_tensors + batch, seqlen, nheads, headdim = x.shape + _, _, nchunks, chunk_size = dt.shape + _, _, ngroups, dstate = B.shape + assert dout.shape == (batch, seqlen, nheads, headdim) + if z is not None: + dz, dout, dD, ddA_cumsum = _chunk_scan_bwd_dz(x, z, out, dout, chunk_size=chunk_size, D=D) + else: + dz = None + dprev_states = _chunk_scan_bwd_dstates(C, dA_cumsum, dout, dtype=prev_states.dtype) + dC = _chunk_scan_bwd_dC(prev_states, dA_cumsum, dout, ngroups=ngroups) + dC = dC.to(C.dtype) + dCB = _chunk_scan_bwd_dcb(x, dt, dA_cumsum, dout, ngroups=ngroups) + dCB = dCB.to(CB.dtype) + dB = _bmm_chunk_bwd(C, dCB) + dC = _bmm_chunk_bwd(B, rearrange(dCB, "... l s -> ... s l"), residual=dC) + dx, ddt = _chunk_scan_bwd_dx(CB, x, dt, dA_cumsum, dout, D=D) + # Formula for ddA_cumsum, assuming out is the output of the forward pass before adding x * D. + # ddA_cumsum = torch.einsum("bclhp,bclhp->bhcl", out.float(), dout.float()) - ddt * dt + if z is not None: + ddA_cumsum -= ddt * dt + else: # If z is not None, we already calculated ddA_cumsum and dD when computing dz + ddA_cumsum, dD = _chunk_scan_bwd_ddAcs_unstable(x, dt, out, dout, ddt, D=D) + ddA_cumsum = ddA_cumsum.to(dA_cumsum.dtype) + return dB, dC, dx, ddt, ddA_cumsum, dprev_states, dD, dz + + +def chunk_scan(B, C, x, dt, dA_cumsum, prev_states, D=None, z=None): + """ + prev_states contains the initial_states at index 0, and the state for the next-to-last chunk at index -1. + Argument: + B: (batch, seqlen, ngroups, dstate) + C: (batch, seqlen, ngroups, dstate) + x: (batch, seqlen, nheads, headdim) + dt: (batch, nheads, nchunks, chunk_size) + dA_cumsum: (batch, nheads, nchunks, chunk_size) + prev_states: (batch, nchunks, nheads, headdim, dstate) + D: (nheads, headdim) or (nheads,) + z: (batch, seqlen, nheads, headdim) + Return: + out: (batch, seqlen, nheads, headdim) + """ + return ChunkScanFn.apply(B, C, x, dt, dA_cumsum, prev_states, D, z) + + +def chunk_scan_ref(B, C, x, dt, dA_cumsum, prev_states, D=None, z=None): + """ + Argument: + B: (batch, seqlen, ngroups, dstate) + C: (batch, seqlen, ngroups, dstate) + x: (batch, seqlen, nheads, headdim) + dt: (batch, nheads, nchunks, chunk_size) + dA_cumsum: (batch, nheads, nchunks, chunk_size) + prev_states: (batch, nchunks, nheads, headdim, dstate) + D: (nheads, headdim) or (nheads,) + z: (batch, seqlen, nheads, headdim) + Return: + out: (batch, seqlen, nheads, headdim) + """ + batch, seqlen, nheads, headdim = x.shape + _, _, ngroups, dstate = B.shape + assert B.shape == (batch, seqlen, ngroups, dstate) + _, _, nchunks, chunk_size = dt.shape + assert seqlen == nchunks * chunk_size + assert C.shape == B.shape + B = repeat(B, "b l g d -> b l (g h) d", h=nheads // ngroups) + C = repeat(C, "b l g d -> b l (g h) d", h=nheads // ngroups) + CB = torch.einsum("bclhn,bcshn->bchls", rearrange(C, "b (c l) h n -> b c l h n", c=nchunks), + rearrange(B, "b (c s) h n -> b c s h n", c=nchunks)) + # (batch, nheads, nchunks, chunksize, chunksize) + dt_segment_sum = dA_cumsum[:, :, :, :, None] - dA_cumsum[:, :, :, None, :] + decay = torch.exp(dt_segment_sum) + scores_decay = CB * rearrange(decay, "b h c l s -> b c h l s") + causal_mask = torch.tril(torch.ones(chunk_size, chunk_size, device=x.device, dtype=bool), diagonal=0) + scores_decay = scores_decay.masked_fill(~causal_mask, 0) + out = torch.einsum('bchls,bhcs,bcshp->bclhp', scores_decay.to(x.dtype), dt.to(x.dtype), + rearrange(x, "b (c s) h p -> b c s h p", c=nchunks)) + state_decay_out = torch.exp(rearrange(dA_cumsum, "b h c l -> b c l h 1")) + out_prev = torch.einsum('bclhn,bchpn->bclhp', rearrange(C, "b (c l) h n -> b c l h n", c=nchunks), + prev_states.to(C.dtype)) * state_decay_out + out = out + out_prev + out = rearrange(out, "b c l h p -> b (c l) h p") + if D is not None: + if D.dim() == 1: + D = rearrange(D, "h -> h 1") + out = out + x * D + return out if z is None else out * F.silu(z) diff --git a/torch-ext/mamba_ssm/ops/triton/ssd_chunk_state.py b/torch-ext/mamba_ssm/ops/triton/ssd_chunk_state.py new file mode 100644 index 0000000000000000000000000000000000000000..a572b4f53618910bdd3ed20c0ac00155300041ab --- /dev/null +++ b/torch-ext/mamba_ssm/ops/triton/ssd_chunk_state.py @@ -0,0 +1,2012 @@ +# Copyright (c) 2024, Tri Dao, Albert Gu. + +"""We want triton==2.1.0 or 2.2.0 for this +""" + +import math +import torch +import torch.nn.functional as F + +import triton +import triton.language as tl + +from einops import rearrange, repeat + +from .softplus import softplus + + +def init_to_zero(names): + return lambda nargs: [ + nargs[name].zero_() for name in names if nargs[name] is not None + ] + + +@triton.autotune( + configs=[ + triton.Config({"BLOCK_SIZE_H": 1}), + triton.Config({"BLOCK_SIZE_H": 2}), + triton.Config({"BLOCK_SIZE_H": 4}), + triton.Config({"BLOCK_SIZE_H": 8}), + triton.Config({"BLOCK_SIZE_H": 16}), + triton.Config({"BLOCK_SIZE_H": 32}), + triton.Config({"BLOCK_SIZE_H": 64}), + ], + key=["chunk_size", "nheads"], +) +@triton.jit +def _chunk_cumsum_fwd_kernel( + # Pointers to matrices + dt_ptr, + A_ptr, + dt_bias_ptr, + dt_out_ptr, + dA_cumsum_ptr, + # Matrix dimension + batch, + seqlen, + nheads, + chunk_size, + dt_min, + dt_max, + # Strides + stride_dt_batch, + stride_dt_seqlen, + stride_dt_head, + stride_A_head, + stride_dt_bias_head, + stride_dt_out_batch, + stride_dt_out_chunk, + stride_dt_out_head, + stride_dt_out_csize, + stride_dA_cs_batch, + stride_dA_cs_chunk, + stride_dA_cs_head, + stride_dA_cs_csize, + # Meta-parameters + DT_SOFTPLUS: tl.constexpr, + HAS_DT_BIAS: tl.constexpr, + BLOCK_SIZE_H: tl.constexpr, + BLOCK_SIZE_CHUNK: tl.constexpr, +): + pid_b = tl.program_id(axis=0) + pid_c = tl.program_id(axis=1) + pid_h = tl.program_id(axis=2) + dt_ptr += pid_b * stride_dt_batch + pid_c * chunk_size * stride_dt_seqlen + dt_out_ptr += pid_b * stride_dt_out_batch + pid_c * stride_dt_out_chunk + dA_cumsum_ptr += pid_b * stride_dA_cs_batch + pid_c * stride_dA_cs_chunk + + offs_h = pid_h * BLOCK_SIZE_H + tl.arange(0, BLOCK_SIZE_H) + offs_c = tl.arange(0, BLOCK_SIZE_CHUNK) + dt_ptrs = dt_ptr + ( + offs_h[:, None] * stride_dt_head + offs_c[None, :] * stride_dt_seqlen + ) + A_ptrs = A_ptr + offs_h * stride_A_head + dt_out_ptrs = dt_out_ptr + ( + offs_h[:, None] * stride_dt_out_head + offs_c[None, :] * stride_dt_out_csize + ) + dA_cs_ptrs = dA_cumsum_ptr + ( + offs_h[:, None] * stride_dA_cs_head + offs_c[None, :] * stride_dA_cs_csize + ) + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + + dt = tl.load( + dt_ptrs, + mask=(offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size_limit), + other=0.0, + ).to(tl.float32) + if HAS_DT_BIAS: + dt_bias = tl.load( + dt_bias_ptr + offs_h * stride_dt_bias_head, mask=offs_h < nheads, other=0.0 + ).to(tl.float32) + dt += dt_bias[:, None] + if DT_SOFTPLUS: + dt = tl.where(dt <= 20.0, softplus(dt), dt) + # As of Triton 2.2.0, tl.clamp is not available yet + # dt = tl.clamp(dt, dt_min, dt_max) + dt = tl.minimum(tl.maximum(dt, dt_min), dt_max) + dt = tl.where( + (offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size_limit), dt, 0.0 + ) + tl.store( + dt_out_ptrs, + dt, + mask=(offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size), + ) + A = tl.load(A_ptrs, mask=offs_h < nheads, other=0.0).to(tl.float32) + dA = dt * A[:, None] + dA_cs = tl.cumsum(dA, axis=1) + tl.store( + dA_cs_ptrs, + dA_cs, + mask=(offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size), + ) + + +@triton.autotune( + configs=[ + triton.Config( + {"BLOCK_SIZE_H": 1}, pre_hook=init_to_zero(["dA_ptr", "ddt_bias_ptr"]) + ), + triton.Config( + {"BLOCK_SIZE_H": 2}, pre_hook=init_to_zero(["dA_ptr", "ddt_bias_ptr"]) + ), + triton.Config( + {"BLOCK_SIZE_H": 4}, pre_hook=init_to_zero(["dA_ptr", "ddt_bias_ptr"]) + ), + triton.Config( + {"BLOCK_SIZE_H": 8}, pre_hook=init_to_zero(["dA_ptr", "ddt_bias_ptr"]) + ), + triton.Config( + {"BLOCK_SIZE_H": 16}, pre_hook=init_to_zero(["dA_ptr", "ddt_bias_ptr"]) + ), + triton.Config( + {"BLOCK_SIZE_H": 32}, pre_hook=init_to_zero(["dA_ptr", "ddt_bias_ptr"]) + ), + triton.Config( + {"BLOCK_SIZE_H": 64}, pre_hook=init_to_zero(["dA_ptr", "ddt_bias_ptr"]) + ), + ], + key=["chunk_size", "nheads"], +) +@triton.jit +def _chunk_cumsum_bwd_kernel( + # Pointers to matrices + ddA_ptr, + ddt_out_ptr, + dt_ptr, + A_ptr, + dt_bias_ptr, + ddt_ptr, + dA_ptr, + ddt_bias_ptr, + # Matrix dimensions + batch, + seqlen, + nheads, + chunk_size, + dt_min, + dt_max, + # Strides + stride_ddA_batch, + stride_ddA_chunk, + stride_ddA_head, + stride_ddA_csize, + stride_ddt_out_batch, + stride_ddt_out_chunk, + stride_ddt_out_head, + stride_ddt_out_csize, + stride_dt_batch, + stride_dt_seqlen, + stride_dt_head, + stride_A_head, + stride_dt_bias_head, + stride_ddt_batch, + stride_ddt_seqlen, + stride_ddt_head, + stride_dA_head, + stride_ddt_bias_head, + # Meta-parameters + DT_SOFTPLUS: tl.constexpr, + HAS_DT_BIAS: tl.constexpr, + BLOCK_SIZE_H: tl.constexpr, + BLOCK_SIZE_CHUNK: tl.constexpr, +): + pid_b = tl.program_id(axis=0) + pid_c = tl.program_id(axis=1) + pid_h = tl.program_id(axis=2) + ddt_out_ptr += pid_b * stride_ddt_out_batch + pid_c * stride_ddt_out_chunk + ddA_ptr += pid_b * stride_ddA_batch + pid_c * stride_ddA_chunk + dt_ptr += pid_b * stride_dt_batch + pid_c * chunk_size * stride_dt_seqlen + ddt_ptr += pid_b * stride_ddt_batch + pid_c * chunk_size * stride_ddt_seqlen + + offs_h = pid_h * BLOCK_SIZE_H + tl.arange(0, BLOCK_SIZE_H) + offs_c = tl.arange(0, BLOCK_SIZE_CHUNK) + ddt_out_ptrs = ddt_out_ptr + ( + offs_h[:, None] * stride_ddt_out_head + offs_c[None, :] * stride_ddt_out_csize + ) + ddA_ptrs = ddA_ptr + ( + offs_h[:, None] * stride_ddA_head + offs_c[None, :] * stride_ddA_csize + ) + dt_ptrs = dt_ptr + ( + offs_h[:, None] * stride_dt_head + offs_c[None, :] * stride_dt_seqlen + ) + ddt_ptrs = ddt_ptr + ( + offs_h[:, None] * stride_ddt_head + offs_c[None, :] * stride_ddt_seqlen + ) + A_ptrs = A_ptr + offs_h * stride_A_head + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + + ddA = tl.load( + ddA_ptrs, + mask=(offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size_limit), + other=0.0, + ).to(tl.float32) + ddt_out = tl.load( + ddt_out_ptrs, + mask=(offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size_limit), + other=0.0, + ).to(tl.float32) + A = tl.load(A_ptrs, mask=offs_h < nheads, other=0.0).to(tl.float32) + ddt = ddA * A[:, None] + ddt_out + dt = tl.load( + dt_ptrs, + mask=(offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size_limit), + other=0.0, + ).to(tl.float32) + if HAS_DT_BIAS: + dt_bias = tl.load( + dt_bias_ptr + offs_h * stride_dt_bias_head, mask=offs_h < nheads, other=0.0 + ).to(tl.float32) + dt += dt_bias[:, None] + if DT_SOFTPLUS: + dt_presoftplus = dt + dt = tl.where(dt <= 20.0, softplus(dt), ddt) + clamp_mask = (dt < dt_min) | (dt > dt_max) + # As of Triton 2.2.0, tl.clamp is not available yet + # dt = tl.clamp(dt, dt_min, dt_max) + dt = tl.minimum(tl.maximum(dt, dt_min), dt_max) + dt = tl.where( + (offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size_limit), dt, 0.0 + ) + ddt = tl.where( + (offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size_limit), ddt, 0.0 + ) + ddt = tl.where(clamp_mask, 0.0, ddt) + if DT_SOFTPLUS: + ddt = tl.where(dt_presoftplus <= 20.0, ddt * tl.sigmoid(dt_presoftplus), ddt) + tl.store( + ddt_ptrs, + ddt, + mask=(offs_h[:, None] < nheads) & (offs_c[None, :] < chunk_size_limit), + ) + dA = tl.sum(ddA * dt, axis=1) + tl.atomic_add(dA_ptr + offs_h * stride_dA_head, dA, mask=offs_h < nheads) + if HAS_DT_BIAS: + ddt_bias = tl.sum(ddt, axis=1) + tl.atomic_add( + ddt_bias_ptr + offs_h * stride_ddt_bias_head, ddt_bias, mask=offs_h < nheads + ) + + +@triton.autotune( + configs=[ + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 256, "BLOCK_SIZE_K": 64}, + num_stages=3, + num_warps=8, + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 256, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + ), + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 128, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + ), + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 64, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 128, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + ), + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 32, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 32, "BLOCK_SIZE_K": 32}, + num_stages=5, + num_warps=2, + ), + triton.Config( + {"BLOCK_SIZE_M": 32, "BLOCK_SIZE_N": 64, "BLOCK_SIZE_K": 32}, + num_stages=5, + num_warps=2, + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 64, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=2, + ), + ], + key=["hdim", "dstate", "chunk_size"], +) +@triton.jit +def _chunk_state_fwd_kernel( + # Pointers to matrices + x_ptr, + b_ptr, + states_ptr, + dt_ptr, + dA_cumsum_ptr, + seq_idx_ptr, + # Matrix dimensions + hdim, + dstate, + chunk_size, + batch, + seqlen, + nheads_ngroups_ratio, + # Strides + stride_x_batch, + stride_x_seqlen, + stride_x_head, + stride_x_hdim, + stride_b_batch, + stride_b_seqlen, + stride_b_head, + stride_b_dstate, + stride_states_batch, + stride_states_chunk, + stride_states_head, + stride_states_hdim, + stride_states_dstate, + stride_dt_batch, + stride_dt_chunk, + stride_dt_head, + stride_dt_csize, + stride_dA_cs_batch, + stride_dA_cs_chunk, + stride_dA_cs_head, + stride_dA_cs_csize, + stride_seq_idx_batch, + stride_seq_idx_seqlen, + # Meta-parameters + HAS_SEQ_IDX: tl.constexpr, + BLOCK_SIZE_M: tl.constexpr, + BLOCK_SIZE_N: tl.constexpr, + BLOCK_SIZE_K: tl.constexpr, +): + pid_bc = tl.program_id(axis=1) + pid_c = pid_bc // batch + pid_b = pid_bc - pid_c * batch + pid_h = tl.program_id(axis=2) + num_pid_n = tl.cdiv(dstate, BLOCK_SIZE_N) + pid_m = tl.program_id(axis=0) // num_pid_n + pid_n = tl.program_id(axis=0) % num_pid_n + b_ptr += ( + pid_b * stride_b_batch + + pid_c * chunk_size * stride_b_seqlen + + (pid_h // nheads_ngroups_ratio) * stride_b_head + ) + x_ptr += ( + pid_b * stride_x_batch + + pid_c * chunk_size * stride_x_seqlen + + pid_h * stride_x_head + ) + dt_ptr += pid_b * stride_dt_batch + pid_c * stride_dt_chunk + pid_h * stride_dt_head + dA_cumsum_ptr += ( + pid_b * stride_dA_cs_batch + + pid_c * stride_dA_cs_chunk + + pid_h * stride_dA_cs_head + ) + if HAS_SEQ_IDX: + seq_idx_ptr += ( + pid_b * stride_seq_idx_batch + pid_c * chunk_size * stride_seq_idx_seqlen + ) + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + offs_k = tl.arange(0, BLOCK_SIZE_K) + x_ptrs = x_ptr + ( + offs_m[:, None] * stride_x_hdim + offs_k[None, :] * stride_x_seqlen + ) + b_ptrs = b_ptr + ( + offs_n[None, :] * stride_b_dstate + offs_k[:, None] * stride_b_seqlen + ) + dt_ptrs = dt_ptr + offs_k * stride_dt_csize + dA_cs_last = tl.load(dA_cumsum_ptr + (chunk_size - 1) * stride_dA_cs_csize).to( + tl.float32 + ) + dA_cumsum_ptrs = dA_cumsum_ptr + offs_k * stride_dA_cs_csize + if HAS_SEQ_IDX: + seq_idx_ptrs = seq_idx_ptr + offs_k * stride_seq_idx_seqlen + + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + if HAS_SEQ_IDX: + seq_idx_last = tl.load( + seq_idx_ptr + (chunk_size_limit - 1) * stride_seq_idx_seqlen + ) + + acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32) + for k in range(0, chunk_size_limit, BLOCK_SIZE_K): + x = tl.load( + x_ptrs, + mask=(offs_m[:, None] < hdim) & (offs_k[None, :] < chunk_size_limit - k), + other=0.0, + ) + b = tl.load( + b_ptrs, + mask=(offs_k[:, None] < chunk_size_limit - k) & (offs_n[None, :] < dstate), + other=0.0, + ).to(tl.float32) + dA_cs_k = tl.load( + dA_cumsum_ptrs, mask=offs_k < chunk_size_limit - k, other=0.0 + ).to(tl.float32) + if HAS_SEQ_IDX: + seq_idx_k = tl.load( + seq_idx_ptrs, mask=offs_k < chunk_size_limit - k, other=-1 + ) + dt_k = tl.load(dt_ptrs, mask=offs_k < chunk_size_limit - k, other=0.0).to( + tl.float32 + ) + if not HAS_SEQ_IDX: + scale = tl.exp((dA_cs_last - dA_cs_k)) * dt_k + else: + scale = tl.where( + seq_idx_k == seq_idx_last, tl.exp((dA_cs_last - dA_cs_k)) * dt_k, 0.0 + ) + b *= scale[:, None] + b = b.to(x_ptr.dtype.element_ty) + acc += tl.dot(x, b) + x_ptrs += BLOCK_SIZE_K * stride_x_seqlen + b_ptrs += BLOCK_SIZE_K * stride_b_seqlen + dt_ptrs += BLOCK_SIZE_K * stride_dt_csize + dA_cumsum_ptrs += BLOCK_SIZE_K * stride_dA_cs_csize + if HAS_SEQ_IDX: + seq_idx_ptrs += BLOCK_SIZE_K * stride_seq_idx_seqlen + states = acc.to(states_ptr.dtype.element_ty) + + states_ptr += ( + pid_b * stride_states_batch + + pid_c * stride_states_chunk + + pid_h * stride_states_head + ) + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + states_ptrs = states_ptr + ( + offs_m[:, None] * stride_states_hdim + offs_n[None, :] * stride_states_dstate + ) + c_mask = (offs_m[:, None] < hdim) & (offs_n[None, :] < dstate) + tl.store(states_ptrs, states, mask=c_mask) + + +@triton.autotune( + configs=[ + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 256, "BLOCK_SIZE_K": 64}, + num_stages=3, + num_warps=8, + pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 256, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 128, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 64, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 128, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 32, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 32, "BLOCK_SIZE_K": 32}, + num_stages=5, + num_warps=4, + pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 32, "BLOCK_SIZE_N": 64, "BLOCK_SIZE_K": 32}, + num_stages=5, + num_warps=4, + pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 64, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + pre_hook=init_to_zero(["ddt_ptr", "ddA_cumsum_ptr"]), + ), + ], + key=["chunk_size", "hdim", "dstate"], +) +@triton.jit +def _chunk_state_bwd_dx_kernel( + # Pointers to matrices + x_ptr, + b_ptr, + dstates_ptr, + dt_ptr, + dA_cumsum_ptr, + dx_ptr, + ddt_ptr, + ddA_cumsum_ptr, + # Matrix dimensions + chunk_size, + hdim, + dstate, + batch, + seqlen, + nheads_ngroups_ratio, + # Strides + stride_x_batch, + stride_x_seqlen, + stride_x_head, + stride_x_hdim, + stride_b_batch, + stride_b_seqlen, + stride_b_head, + stride_b_dstate, + stride_dstates_batch, + stride_dstates_chunk, + stride_states_head, + stride_states_hdim, + stride_states_dstate, + stride_dt_batch, + stride_dt_chunk, + stride_dt_head, + stride_dt_csize, + stride_dA_cs_batch, + stride_dA_cs_chunk, + stride_dA_cs_head, + stride_dA_cs_csize, + stride_dx_batch, + stride_dx_seqlen, + stride_dx_head, + stride_dx_hdim, + stride_ddt_batch, + stride_ddt_chunk, + stride_ddt_head, + stride_ddt_csize, + stride_ddA_cs_batch, + stride_ddA_cs_chunk, + stride_ddA_cs_head, + stride_ddA_cs_csize, + # Meta-parameters + BLOCK_SIZE_M: tl.constexpr, + BLOCK_SIZE_N: tl.constexpr, + BLOCK_SIZE_K: tl.constexpr, + BLOCK_SIZE_DSTATE: tl.constexpr, +): + pid_bc = tl.program_id(axis=1) + pid_c = pid_bc // batch + pid_b = pid_bc - pid_c * batch + pid_h = tl.program_id(axis=2) + num_pid_n = tl.cdiv(hdim, BLOCK_SIZE_N) + pid_m = tl.program_id(axis=0) // num_pid_n + pid_n = tl.program_id(axis=0) % num_pid_n + x_ptr += ( + pid_b * stride_x_batch + + pid_c * chunk_size * stride_x_seqlen + + pid_h * stride_x_head + ) + b_ptr += ( + pid_b * stride_b_batch + + pid_c * chunk_size * stride_b_seqlen + + (pid_h // nheads_ngroups_ratio) * stride_b_head + ) + dstates_ptr += ( + pid_b * stride_dstates_batch + + pid_c * stride_dstates_chunk + + pid_h * stride_states_head + ) + dt_ptr += pid_b * stride_dt_batch + pid_c * stride_dt_chunk + pid_h * stride_dt_head + ddt_ptr += ( + pid_b * stride_ddt_batch + pid_c * stride_ddt_chunk + pid_h * stride_ddt_head + ) + ddA_cumsum_ptr += ( + pid_b * stride_ddA_cs_batch + + pid_c * stride_ddA_cs_chunk + + pid_h * stride_ddA_cs_head + ) + dA_cumsum_ptr += ( + pid_b * stride_dA_cs_batch + + pid_c * stride_dA_cs_chunk + + pid_h * stride_dA_cs_head + ) + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + # Faster to just do 1 iteration with larger BLOCK_SIZE_K, up to block size 128 + offs_k = tl.arange( + 0, BLOCK_SIZE_DSTATE if BLOCK_SIZE_DSTATE <= 128 else BLOCK_SIZE_K + ) + b_ptrs = b_ptr + ( + offs_m[:, None] * stride_b_seqlen + offs_k[None, :] * stride_b_dstate + ) + dstates_ptrs = dstates_ptr + ( + offs_n[None, :] * stride_states_hdim + offs_k[:, None] * stride_states_dstate + ) + if BLOCK_SIZE_DSTATE <= 128: + b = tl.load( + b_ptrs, + mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < dstate), + other=0.0, + ) + dstates = tl.load( + dstates_ptrs, + mask=(offs_k[:, None] < dstate) & (offs_n[None, :] < hdim), + other=0.0, + ) + dstates = dstates.to(b_ptr.dtype.element_ty) + acc = tl.dot(b, dstates) + else: + acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32) + for k in range(0, dstate, BLOCK_SIZE_K): + b = tl.load( + b_ptrs, + mask=(offs_m[:, None] < chunk_size_limit) + & (offs_k[None, :] < dstate - k), + other=0.0, + ) + dstates = tl.load( + dstates_ptrs, + mask=(offs_k[:, None] < dstate - k) & (offs_n[None, :] < hdim), + other=0.0, + ) + dstates = dstates.to(b_ptr.dtype.element_ty) + acc += tl.dot(b, dstates) + b_ptrs += BLOCK_SIZE_K * stride_b_dstate + dstates_ptrs += BLOCK_SIZE_K * stride_states_dstate + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + + dA_cs_last = tl.load(dA_cumsum_ptr + (chunk_size - 1) * stride_dA_cs_csize).to( + tl.float32 + ) + dt_ptrs = dt_ptr + offs_m * stride_dt_csize + dA_cumsum_ptrs = dA_cumsum_ptr + offs_m * stride_dA_cs_csize + dA_cs_m = tl.load(dA_cumsum_ptrs, mask=offs_m < chunk_size, other=0.0).to( + tl.float32 + ) + dt_m = tl.load(dt_ptrs, mask=offs_m < chunk_size, other=0.0).to(tl.float32) + acc *= tl.exp(dA_cs_last - dA_cs_m)[:, None] + + x_ptrs = x_ptr + ( + offs_m[:, None] * stride_x_seqlen + offs_n[None, :] * stride_x_hdim + ) + x = tl.load( + x_ptrs, + mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), + other=0.0, + ).to(tl.float32) + ddt = tl.sum(acc * x, axis=1) + ddt_ptrs = ddt_ptr + offs_m * stride_ddt_csize + tl.atomic_add(ddt_ptrs, ddt, mask=offs_m < chunk_size) + ddA_cs = -(ddt * dt_m) + ddA_cs_last = -tl.sum(ddA_cs) + ddA_cumsum_ptrs = ddA_cumsum_ptr + offs_m * stride_ddA_cs_csize + tl.atomic_add(ddA_cumsum_ptrs, ddA_cs, mask=offs_m < chunk_size) + tl.atomic_add(ddA_cumsum_ptr + (chunk_size - 1) * stride_ddA_cs_csize, ddA_cs_last) + + dx = (acc * dt_m[:, None]).to(dx_ptr.dtype.element_ty) + dx_ptr += ( + pid_b * stride_dx_batch + + pid_c * chunk_size * stride_dx_seqlen + + pid_h * stride_dx_head + ) + dx_ptrs = dx_ptr + ( + offs_m[:, None] * stride_dx_seqlen + offs_n[None, :] * stride_dx_hdim + ) + tl.store( + dx_ptrs, + dx, + mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), + ) + + +@triton.autotune( + configs=[ + triton.Config( + {"BLOCK_SIZE_M": 32, "BLOCK_SIZE_N": 128}, + num_stages=3, + num_warps=4, + pre_hook=init_to_zero(["ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 32}, + num_stages=3, + num_warps=4, + pre_hook=init_to_zero(["ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 128}, + num_stages=3, + num_warps=4, + pre_hook=init_to_zero(["ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 64}, + num_stages=3, + num_warps=4, + pre_hook=init_to_zero(["ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 64}, + num_stages=3, + num_warps=4, + pre_hook=init_to_zero(["ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 32}, + num_stages=3, + num_warps=4, + pre_hook=init_to_zero(["ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 32, "BLOCK_SIZE_N": 64}, + num_stages=3, + num_warps=4, + pre_hook=init_to_zero(["ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 32, "BLOCK_SIZE_N": 32}, + num_stages=3, + num_warps=4, + pre_hook=init_to_zero(["ddA_cumsum_ptr"]), + ), + ], + key=["chunk_size", "dstate", "hdim"], +) +@triton.jit +def _chunk_state_bwd_db_kernel( + # Pointers to matrices + x_ptr, + dstates_ptr, + b_ptr, + dt_ptr, + dA_cumsum_ptr, + seq_idx_ptr, + db_ptr, + ddA_cumsum_ptr, + # Matrix dimensions + chunk_size, + dstate, + hdim, + batch, + seqlen, + nheads, + nheads_per_program, + ngroups, + # Strides + stride_x_batch, + stride_x_seqlen, + stride_x_head, + stride_x_hdim, + stride_dstates_batch, + stride_dstates_chunk, + stride_states_head, + stride_states_hdim, + stride_states_dstate, + stride_b_batch, + stride_b_seqlen, + stride_b_head, + stride_b_dstate, + stride_dt_batch, + stride_dt_chunk, + stride_dt_head, + stride_dt_csize, + stride_dA_cs_batch, + stride_dA_cs_chunk, + stride_dA_cs_head, + stride_dA_cs_csize, + stride_seq_idx_batch, + stride_seq_idx_seqlen, + stride_db_batch, + stride_db_seqlen, + stride_db_split, + stride_db_group, + stride_db_dstate, + stride_ddA_cs_batch, + stride_ddA_cs_chunk, + stride_ddA_cs_head, + stride_ddA_cs_csize, + # Meta-parameters + HAS_DDA_CS: tl.constexpr, + HAS_SEQ_IDX: tl.constexpr, + BLOCK_SIZE_M: tl.constexpr, + BLOCK_SIZE_N: tl.constexpr, + BLOCK_SIZE_K: tl.constexpr, +): + pid_bc = tl.program_id(axis=1) + pid_c = pid_bc // batch + pid_b = pid_bc - pid_c * batch + pid_sg = tl.program_id(axis=2) + pid_s = pid_sg // ngroups + pid_g = pid_sg - pid_s * ngroups + num_pid_n = tl.cdiv(dstate, BLOCK_SIZE_N) + pid_m = tl.program_id(axis=0) // num_pid_n + pid_n = tl.program_id(axis=0) % num_pid_n + x_ptr += ( + pid_b * stride_x_batch + + pid_c * chunk_size * stride_x_seqlen + + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_x_head + ) + db_ptr += ( + pid_b * stride_db_batch + + pid_c * chunk_size * stride_db_seqlen + + pid_g * stride_db_group + + pid_s * stride_db_split + ) + dstates_ptr += ( + pid_b * stride_dstates_batch + + pid_c * stride_dstates_chunk + + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) + * stride_states_head + ) + dt_ptr += ( + pid_b * stride_dt_batch + + pid_c * stride_dt_chunk + + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_dt_head + ) + dA_cumsum_ptr += ( + pid_b * stride_dA_cs_batch + + pid_c * stride_dA_cs_chunk + + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) * stride_dA_cs_head + ) + if HAS_DDA_CS: + b_ptr += ( + pid_b * stride_b_batch + + pid_c * chunk_size * stride_b_seqlen + + pid_g * stride_b_head + ) + ddA_cumsum_ptr += ( + pid_b * stride_ddA_cs_batch + + pid_c * stride_ddA_cs_chunk + + (pid_g * (nheads // ngroups) + pid_s * nheads_per_program) + * stride_ddA_cs_head + ) + if HAS_SEQ_IDX: + seq_idx_ptr += ( + pid_b * stride_seq_idx_batch + pid_c * chunk_size * stride_seq_idx_seqlen + ) + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + offs_k = tl.arange(0, BLOCK_SIZE_K) + x_ptrs = x_ptr + ( + offs_m[:, None] * stride_x_seqlen + offs_k[None, :] * stride_x_hdim + ) + dstates_ptrs = dstates_ptr + ( + offs_n[None, :] * stride_states_dstate + offs_k[:, None] * stride_states_hdim + ) + dt_ptrs = dt_ptr + offs_m * stride_dt_csize + dA_cumsum_ptrs = dA_cumsum_ptr + offs_m * stride_dA_cs_csize + if HAS_DDA_CS: + b_ptrs = b_ptr + ( + offs_m[:, None] * stride_b_seqlen + offs_n[None, :] * stride_b_dstate + ) + ddA_cumsum_ptrs = ddA_cumsum_ptr + offs_m * stride_ddA_cs_csize + + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32) + if HAS_DDA_CS: + b = tl.load( + b_ptrs, + mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < dstate), + other=0.0, + ).to(tl.float32) + if HAS_SEQ_IDX: + seq_idx_m = tl.load( + seq_idx_ptr + offs_m * stride_seq_idx_seqlen, + mask=offs_m < chunk_size_limit, + other=-1, + ) + seq_idx_last = tl.load( + seq_idx_ptr + (chunk_size_limit - 1) * stride_seq_idx_seqlen + ) + nheads_iter = min( + nheads_per_program, nheads // ngroups - pid_s * nheads_per_program + ) + for h in range(nheads_iter): + x = tl.load( + x_ptrs, + mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < hdim), + other=0.0, + ) + dstates = tl.load( + dstates_ptrs, + mask=(offs_k[:, None] < hdim) & (offs_n[None, :] < dstate), + other=0.0, + ) + dstates = dstates.to(x_ptrs.dtype.element_ty) + db = tl.dot(x, dstates) + dA_cs_last = tl.load(dA_cumsum_ptr + (chunk_size - 1) * stride_dA_cs_csize).to( + tl.float32 + ) + dA_cs_m = tl.load(dA_cumsum_ptrs, mask=offs_m < chunk_size, other=0.0).to( + tl.float32 + ) + dt_m = tl.load(dt_ptrs, mask=offs_m < chunk_size, other=0.0).to(tl.float32) + if not HAS_SEQ_IDX: + scale = tl.exp(dA_cs_last - dA_cs_m) + else: + scale = tl.where( + seq_idx_m == seq_idx_last, tl.exp(dA_cs_last - dA_cs_m), 0.0 + ) + db *= (scale * dt_m)[:, None] + if HAS_DDA_CS: + # This is the gradient wrt (dA_cs_last - dA_cs_m), i.e. the exclusive reverse cumsum + ddA_cs = tl.sum(db * b, axis=1) + tl.atomic_add( + ddA_cumsum_ptrs + stride_ddA_cs_csize, + ddA_cs, + mask=offs_m < chunk_size - 1, + ) + acc += db + x_ptrs += stride_x_head + dstates_ptrs += stride_states_head + dt_ptrs += stride_dt_head + dA_cumsum_ptr += stride_dA_cs_head + dA_cumsum_ptrs += stride_dA_cs_head + if HAS_DDA_CS: + ddA_cumsum_ptrs += stride_ddA_cs_head + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + # if HAS_SEQ_IDX: + # seq_idx_last = tl.load(seq_idx_ptr + (chunk_size_limit - 1) * stride_seq_idx_seqlen) + # seq_idx_m = tl.load(seq_idx_ptr + offs_m * stride_seq_idx_seqlen, mask=offs_m < chunk_size_limit, other=-1) + # acc = tl.where(seq_idx_m[:, None] == seq_idx_last, acc, 0.0) + db_ptrs = db_ptr + ( + offs_m[:, None] * stride_db_seqlen + offs_n[None, :] * stride_db_dstate + ) + tl.store( + db_ptrs, + acc, + mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < dstate), + ) + + +@triton.autotune( + configs=[ + # triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 64}, num_stages=3, num_warps=8, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + # triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 256, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + # triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + # triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + # triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 128, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + # triton.Config({'BLOCK_SIZE_M': 128, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + # triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 32, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + # triton.Config({'BLOCK_SIZE_M': 32, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=5, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + # triton.Config({'BLOCK_SIZE_M': 64, 'BLOCK_SIZE_N': 64, 'BLOCK_SIZE_K': 32}, num_stages=4, num_warps=4, pre_hook=init_to_zero(["ddA_cumsum_ptr"])), + triton.Config( + {"BLOCK_SIZE_N": 16, "BLOCK_SIZE_K": 32}, + num_stages=3, + num_warps=4, + pre_hook=init_to_zero(["ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_N": 32, "BLOCK_SIZE_K": 32}, + num_stages=3, + num_warps=4, + pre_hook=init_to_zero(["ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_N": 64, "BLOCK_SIZE_K": 32}, + num_stages=3, + num_warps=4, + pre_hook=init_to_zero(["ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_N": 128, "BLOCK_SIZE_K": 32}, + num_stages=3, + num_warps=4, + pre_hook=init_to_zero(["ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_N": 16, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=8, + pre_hook=init_to_zero(["ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_N": 32, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=8, + pre_hook=init_to_zero(["ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_N": 64, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=8, + pre_hook=init_to_zero(["ddA_cumsum_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_N": 128, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=8, + pre_hook=init_to_zero(["ddA_cumsum_ptr"]), + ), + ], + key=["chunk_size", "hdim", "dstate"], +) +@triton.jit +def _chunk_state_bwd_ddAcs_stable_kernel( + # Pointers to matrices + x_ptr, + b_ptr, + dstates_ptr, + dt_ptr, + dA_cumsum_ptr, + seq_idx_ptr, + ddA_cumsum_ptr, + # Matrix dimensions + chunk_size, + hdim, + dstate, + batch, + seqlen, + nheads_ngroups_ratio, + # Strides + stride_x_batch, + stride_x_seqlen, + stride_x_head, + stride_x_hdim, + stride_b_batch, + stride_b_seqlen, + stride_b_head, + stride_b_dstate, + stride_dstates_batch, + stride_dstates_chunk, + stride_states_head, + stride_states_hdim, + stride_states_dstate, + stride_dt_batch, + stride_dt_chunk, + stride_dt_head, + stride_dt_csize, + stride_dA_cs_batch, + stride_dA_cs_chunk, + stride_dA_cs_head, + stride_dA_cs_csize, + stride_seq_idx_batch, + stride_seq_idx_seqlen, + stride_ddA_cs_batch, + stride_ddA_cs_chunk, + stride_ddA_cs_head, + stride_ddA_cs_csize, + # Meta-parameters + HAS_SEQ_IDX: tl.constexpr, + BLOCK_SIZE_M: tl.constexpr, + BLOCK_SIZE_N: tl.constexpr, + BLOCK_SIZE_K: tl.constexpr, + BLOCK_SIZE_DSTATE: tl.constexpr, +): + pid_bc = tl.program_id(axis=1) + pid_c = pid_bc // batch + pid_b = pid_bc - pid_c * batch + pid_h = tl.program_id(axis=2) + num_pid_n = tl.cdiv(hdim, BLOCK_SIZE_N) + pid_m = tl.program_id(axis=0) // num_pid_n + pid_n = tl.program_id(axis=0) % num_pid_n + x_ptr += ( + pid_b * stride_x_batch + + pid_c * chunk_size * stride_x_seqlen + + pid_h * stride_x_head + ) + b_ptr += ( + pid_b * stride_b_batch + + pid_c * chunk_size * stride_b_seqlen + + (pid_h // nheads_ngroups_ratio) * stride_b_head + ) + dstates_ptr += ( + pid_b * stride_dstates_batch + + pid_c * stride_dstates_chunk + + pid_h * stride_states_head + ) + dt_ptr += pid_b * stride_dt_batch + pid_c * stride_dt_chunk + pid_h * stride_dt_head + ddA_cumsum_ptr += ( + pid_b * stride_ddA_cs_batch + + pid_c * stride_ddA_cs_chunk + + pid_h * stride_ddA_cs_head + ) + dA_cumsum_ptr += ( + pid_b * stride_dA_cs_batch + + pid_c * stride_dA_cs_chunk + + pid_h * stride_dA_cs_head + ) + if HAS_SEQ_IDX: + seq_idx_ptr += ( + pid_b * stride_seq_idx_batch + pid_c * chunk_size * stride_seq_idx_seqlen + ) + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + # Faster to just do 1 iteration with larger BLOCK_SIZE_K, up to block size 128 + offs_k = tl.arange( + 0, BLOCK_SIZE_DSTATE if BLOCK_SIZE_DSTATE <= 128 else BLOCK_SIZE_K + ) + b_ptrs = b_ptr + ( + offs_m[:, None] * stride_b_seqlen + offs_k[None, :] * stride_b_dstate + ) + dstates_ptrs = dstates_ptr + ( + offs_n[None, :] * stride_states_hdim + offs_k[:, None] * stride_states_dstate + ) + if BLOCK_SIZE_DSTATE <= 128: + b = tl.load( + b_ptrs, + mask=(offs_m[:, None] < chunk_size_limit) & (offs_k[None, :] < dstate), + other=0.0, + ) + dstates = tl.load( + dstates_ptrs, + mask=(offs_k[:, None] < dstate) & (offs_n[None, :] < hdim), + other=0.0, + ) + dstates = dstates.to(b_ptr.dtype.element_ty) + acc = tl.dot(b, dstates) + else: + acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32) + for k in range(0, dstate, BLOCK_SIZE_K): + b = tl.load( + b_ptrs, + mask=(offs_m[:, None] < chunk_size_limit) + & (offs_k[None, :] < dstate - k), + other=0.0, + ) + dstates = tl.load( + dstates_ptrs, + mask=(offs_k[:, None] < dstate - k) & (offs_n[None, :] < hdim), + other=0.0, + ) + dstates = dstates.to(b_ptr.dtype.element_ty) + acc += tl.dot(b, dstates) + b_ptrs += BLOCK_SIZE_K * stride_b_dstate + dstates_ptrs += BLOCK_SIZE_K * stride_states_dstate + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + + dA_cs_m = tl.load( + dA_cumsum_ptr + offs_m * stride_dA_cs_csize, mask=offs_m < chunk_size, other=0.0 + ).to(tl.float32) + dA_cs_last = tl.load(dA_cumsum_ptr + (chunk_size - 1) * stride_dA_cs_csize).to( + tl.float32 + ) + if not HAS_SEQ_IDX: + scale = tl.exp(dA_cs_last - dA_cs_m) + else: + seq_idx_m = tl.load( + seq_idx_ptr + offs_m * stride_seq_idx_seqlen, + mask=offs_m < chunk_size_limit, + other=-1, + ) + seq_idx_last = tl.load( + seq_idx_ptr + (chunk_size_limit - 1) * stride_seq_idx_seqlen + ) + scale = tl.where(seq_idx_m == seq_idx_last, tl.exp(dA_cs_last - dA_cs_m), 0.0) + acc *= scale[:, None] + + x_ptrs = x_ptr + ( + offs_m[:, None] * stride_x_seqlen + offs_n[None, :] * stride_x_hdim + ) + x = tl.load( + x_ptrs, + mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), + other=0.0, + ).to(tl.float32) + dt_ptrs = dt_ptr + offs_m * stride_dt_csize + dt_m = tl.load(dt_ptrs, mask=offs_m < chunk_size, other=0.0).to(tl.float32) + ddt = tl.sum(acc * x, axis=1) + # ddA_cs = -(ddt * dt_m) + # Triton 2.2.0 errors if we have the cumsum here, so we just write it out + # then call torch.cumsum outside this kernel. + # ddA_cs = tl.cumsum(ddt * dt_m) + ddA_cs = ddt * dt_m + ddA_cumsum_ptrs = ddA_cumsum_ptr + offs_m * stride_ddA_cs_csize + # tl.atomic_add(ddA_cumsum_ptrs, ddA_cs, mask=offs_m < chunk_size) + tl.atomic_add( + ddA_cumsum_ptrs + stride_ddA_cs_csize, ddA_cs, mask=offs_m < chunk_size - 1 + ) + + +@triton.autotune( + configs=[ + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 256, "BLOCK_SIZE_K": 64}, + num_stages=3, + num_warps=8, + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 256, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + ), + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 128, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + ), + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 64, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 128, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + ), + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 32, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 32, "BLOCK_SIZE_K": 32}, + num_stages=5, + num_warps=2, + ), + triton.Config( + {"BLOCK_SIZE_M": 32, "BLOCK_SIZE_N": 64, "BLOCK_SIZE_K": 32}, + num_stages=5, + num_warps=2, + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 64, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=2, + ), + ], + key=["hdim", "dstate", "chunk_size"], +) +@triton.jit +def _chunk_state_varlen_kernel( + # Pointers to matrices + x_ptr, + b_ptr, + dt_ptr, + dA_cumsum_ptr, + chunk_states_ptr, + cu_seqlens_ptr, + states_ptr, + # Matrix dimensions + hdim, + dstate, + chunk_size, + seqlen, + nheads_ngroups_ratio, + # Strides + stride_x_seqlen, + stride_x_head, + stride_x_hdim, + stride_b_seqlen, + stride_b_head, + stride_b_dstate, + stride_dt_chunk, + stride_dt_head, + stride_dt_csize, + stride_dA_cs_chunk, + stride_dA_cs_head, + stride_dA_cs_csize, + stride_chunk_states_chunk, + stride_chunk_states_head, + stride_chunk_states_hdim, + stride_chunk_states_dstate, + stride_states_batch, + stride_states_head, + stride_states_hdim, + stride_states_dstate, + # Meta-parameters + BLOCK_SIZE_M: tl.constexpr, + BLOCK_SIZE_N: tl.constexpr, + BLOCK_SIZE_K: tl.constexpr, +): + pid_b = tl.program_id(axis=1) + pid_h = tl.program_id(axis=2) + num_pid_n = tl.cdiv(dstate, BLOCK_SIZE_N) + pid_m = tl.program_id(axis=0) // num_pid_n + pid_n = tl.program_id(axis=0) % num_pid_n + end_idx = tl.load(cu_seqlens_ptr + pid_b + 1) + pid_c = (end_idx - 1) // chunk_size + b_ptr += ( + pid_c * chunk_size * stride_b_seqlen + + (pid_h // nheads_ngroups_ratio) * stride_b_head + ) + x_ptr += pid_c * chunk_size * stride_x_seqlen + pid_h * stride_x_head + dt_ptr += pid_c * stride_dt_chunk + pid_h * stride_dt_head + dA_cumsum_ptr += pid_c * stride_dA_cs_chunk + pid_h * stride_dA_cs_head + chunk_states_ptr += ( + pid_c * stride_chunk_states_chunk + pid_h * stride_chunk_states_head + ) + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + offs_k = tl.arange(0, BLOCK_SIZE_K) + x_ptrs = x_ptr + ( + offs_m[:, None] * stride_x_hdim + offs_k[None, :] * stride_x_seqlen + ) + b_ptrs = b_ptr + ( + offs_n[None, :] * stride_b_dstate + offs_k[:, None] * stride_b_seqlen + ) + dt_ptrs = dt_ptr + offs_k * stride_dt_csize + dA_cs_last = tl.load( + dA_cumsum_ptr + (end_idx - pid_c * chunk_size - 1) * stride_dA_cs_csize + ).to(tl.float32) + dA_cumsum_ptrs = dA_cumsum_ptr + offs_k * stride_dA_cs_csize + + chunk_size_limit = end_idx - pid_c * chunk_size + start_idx = tl.load(cu_seqlens_ptr + pid_b) + start_idx_cur = tl.maximum(start_idx - pid_c * chunk_size, 0) + + acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32) + for k in range(0, chunk_size_limit, BLOCK_SIZE_K): + x = tl.load( + x_ptrs, + mask=(offs_m[:, None] < hdim) + & (offs_k[None, :] < chunk_size_limit - k) + & (offs_k[None, :] >= start_idx_cur - k), + other=0.0, + ) + b = tl.load( + b_ptrs, + mask=(offs_k[:, None] < chunk_size_limit - k) + & (offs_n[None, :] < dstate) + & (offs_k[:, None] >= start_idx_cur - k), + other=0.0, + ).to(tl.float32) + dA_cs_k = tl.load( + dA_cumsum_ptrs, mask=offs_k < chunk_size_limit - k, other=0.0 + ).to(tl.float32) + dt_k = tl.load(dt_ptrs, mask=offs_k < chunk_size_limit - k, other=0.0).to( + tl.float32 + ) + scale = tl.where( + (offs_k >= start_idx_cur - k) & (offs_k < chunk_size_limit - k), + tl.exp((dA_cs_last - dA_cs_k)) * dt_k, + 0.0, + ) + b *= scale[:, None] + b = b.to(x_ptr.dtype.element_ty) + acc += tl.dot(x, b) + x_ptrs += BLOCK_SIZE_K * stride_x_seqlen + b_ptrs += BLOCK_SIZE_K * stride_b_seqlen + dt_ptrs += BLOCK_SIZE_K * stride_dt_csize + dA_cumsum_ptrs += BLOCK_SIZE_K * stride_dA_cs_csize + + # If the sequence starts after the last chunk idx, we don't need to add the contribution from the last chunk + if start_idx < pid_c * chunk_size: + chunk_states_ptrs = chunk_states_ptr + ( + offs_m[:, None] * stride_chunk_states_hdim + + offs_n[None, :] * stride_chunk_states_dstate + ) + chunk_states = tl.load( + chunk_states_ptrs, + mask=(offs_m[:, None] < hdim) & (offs_n[None, :] < dstate), + other=0.0, + ).to(tl.float32) + # scale = tl.where(start_idx < pid_c * chunk_size, tl.exp(dA_cs_last), 0.0) + scale = tl.exp(dA_cs_last) + acc += chunk_states * scale + + states = acc.to(states_ptr.dtype.element_ty) + + states_ptr += pid_b * stride_states_batch + pid_h * stride_states_head + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + states_ptrs = states_ptr + ( + offs_m[:, None] * stride_states_hdim + offs_n[None, :] * stride_states_dstate + ) + c_mask = (offs_m[:, None] < hdim) & (offs_n[None, :] < dstate) + tl.store(states_ptrs, states, mask=c_mask) + + +def _chunk_cumsum_fwd( + dt, A, chunk_size, dt_bias=None, dt_softplus=False, dt_limit=(0.0, float("inf")) +): + batch, seqlen, nheads = dt.shape + assert A.shape == (nheads,) + if dt_bias is not None: + assert dt_bias.shape == (nheads,) + nchunks = math.ceil(seqlen / chunk_size) + dt_out = torch.empty( + batch, nheads, nchunks, chunk_size, device=dt.device, dtype=torch.float32 + ) + dA_cumsum = torch.empty( + batch, nheads, nchunks, chunk_size, device=dt.device, dtype=torch.float32 + ) + grid_chunk_cs = lambda META: ( + batch, + nchunks, + triton.cdiv(nheads, META["BLOCK_SIZE_H"]), + ) + with torch.cuda.device(dt.device.index): + _chunk_cumsum_fwd_kernel[grid_chunk_cs]( + dt, + A, + dt_bias, + dt_out, + dA_cumsum, + batch, + seqlen, + nheads, + chunk_size, + dt_limit[0], + dt_limit[1], + dt.stride(0), + dt.stride(1), + dt.stride(2), + A.stride(0), + dt_bias.stride(0) if dt_bias is not None else 0, + dt_out.stride(0), + dt_out.stride(2), + dt_out.stride(1), + dt_out.stride(3), + dA_cumsum.stride(0), + dA_cumsum.stride(2), + dA_cumsum.stride(1), + dA_cumsum.stride(3), + dt_softplus, + HAS_DT_BIAS=dt_bias is not None, + BLOCK_SIZE_CHUNK=triton.next_power_of_2(chunk_size), + ) + return dA_cumsum, dt_out + + +def _chunk_cumsum_bwd( + ddA, + ddt_out, + dt, + A, + dt_bias=None, + dt_softplus=False, + dt_limit=(0.0, float("inf")), + ddt=None, +): + batch, seqlen, nheads = dt.shape + _, _, nchunks, chunk_size = ddA.shape + assert ddA.shape == (batch, nheads, nchunks, chunk_size) + assert ddt_out.shape == (batch, nheads, nchunks, chunk_size) + assert A.shape == (nheads,) + if dt_bias is not None: + assert dt_bias.shape == (nheads,) + ddt_bias = torch.empty_like(dt_bias, dtype=torch.float32) + else: + ddt_bias = None + if ddt is not None: + assert ddt.shape == dt.shape + else: + ddt = torch.empty_like(dt) + dA = torch.empty_like(A, dtype=torch.float32) + grid_chunk_cs = lambda META: ( + batch, + nchunks, + triton.cdiv(nheads, META["BLOCK_SIZE_H"]), + ) + with torch.cuda.device(dt.device.index): + _chunk_cumsum_bwd_kernel[grid_chunk_cs]( + ddA, + ddt_out, + dt, + A, + dt_bias, + ddt, + dA, + ddt_bias, + batch, + seqlen, + nheads, + chunk_size, + dt_limit[0], + dt_limit[1], + ddA.stride(0), + ddA.stride(2), + ddA.stride(1), + ddA.stride(3), + ddt_out.stride(0), + ddt_out.stride(2), + ddt_out.stride(1), + ddt_out.stride(3), + dt.stride(0), + dt.stride(1), + dt.stride(2), + A.stride(0), + dt_bias.stride(0) if dt_bias is not None else 0, + ddt.stride(0), + ddt.stride(1), + ddt.stride(2), + dA.stride(0), + ddt_bias.stride(0) if ddt_bias is not None else 0, + dt_softplus, + HAS_DT_BIAS=dt_bias is not None, + BLOCK_SIZE_CHUNK=triton.next_power_of_2(chunk_size), + ) + return ddt, dA, ddt_bias + + +def _chunk_state_fwd( + B, x, dt, dA_cumsum, seq_idx=None, states=None, states_in_fp32=True +): + batch, seqlen, nheads, headdim = x.shape + _, _, nchunks, chunk_size = dt.shape + _, _, ngroups, dstate = B.shape + assert nheads % ngroups == 0 + assert B.shape == (batch, seqlen, ngroups, dstate) + assert dt.shape == (batch, nheads, nchunks, chunk_size) + assert dA_cumsum.shape == dt.shape + if seq_idx is not None: + assert seq_idx.shape == (batch, seqlen) + if states is not None: + assert states.shape == (batch, nchunks, nheads, headdim, dstate) + else: + states_dtype = torch.float32 if states_in_fp32 else B.dtype + states = torch.empty( + (batch, nchunks, nheads, headdim, dstate), + device=x.device, + dtype=states_dtype, + ) + grid = lambda META: ( + triton.cdiv(headdim, META["BLOCK_SIZE_M"]) + * triton.cdiv(dstate, META["BLOCK_SIZE_N"]), + batch * nchunks, + nheads, + ) + with torch.cuda.device(x.device.index): + _chunk_state_fwd_kernel[grid]( + x, + B, + states, + dt, + dA_cumsum, + seq_idx, + headdim, + dstate, + chunk_size, + batch, + seqlen, + nheads // ngroups, + x.stride(0), + x.stride(1), + x.stride(2), + x.stride(3), + B.stride(0), + B.stride(1), + B.stride(2), + B.stride(-1), + states.stride(0), + states.stride(1), + states.stride(2), + states.stride(3), + states.stride(4), + dt.stride(0), + dt.stride(2), + dt.stride(1), + dt.stride(3), + dA_cumsum.stride(0), + dA_cumsum.stride(2), + dA_cumsum.stride(1), + dA_cumsum.stride(3), + *( + (seq_idx.stride(0), seq_idx.stride(1)) + if seq_idx is not None + else (0, 0) + ), + HAS_SEQ_IDX=seq_idx is not None, + ) + return states + + +def _chunk_state_bwd_dx(B, x, dt, dA_cumsum, dstates, dx=None): + batch, seqlen, nheads, headdim = x.shape + _, _, nchunks, chunk_size = dt.shape + _, _, ngroups, dstate = B.shape + assert nheads % ngroups == 0 + assert B.shape == (batch, seqlen, ngroups, dstate) + assert dt.shape == (batch, nheads, nchunks, chunk_size) + assert dA_cumsum.shape == dt.shape + assert dstates.shape == (batch, nchunks, nheads, headdim, dstate) + if dx is not None: + assert dx.shape == x.shape + else: + dx = torch.empty_like(x) + ddt = torch.empty( + batch, nheads, nchunks, chunk_size, device=dt.device, dtype=torch.float32 + ) + ddA_cumsum = torch.empty( + batch, nheads, nchunks, chunk_size, device=dA_cumsum.device, dtype=torch.float32 + ) + grid_dx = lambda META: ( + triton.cdiv(chunk_size, META["BLOCK_SIZE_M"]) + * triton.cdiv(headdim, META["BLOCK_SIZE_N"]), + batch * nchunks, + nheads, + ) + with torch.cuda.device(x.device.index): + _chunk_state_bwd_dx_kernel[grid_dx]( + x, + B, + dstates, + dt, + dA_cumsum, + dx, + ddt, + ddA_cumsum, + chunk_size, + headdim, + dstate, + batch, + seqlen, + nheads // ngroups, + x.stride(0), + x.stride(1), + x.stride(2), + x.stride(3), + B.stride(0), + B.stride(1), + B.stride(2), + B.stride(-1), + dstates.stride(0), + dstates.stride(1), + dstates.stride(2), + dstates.stride(3), + dstates.stride(4), + dt.stride(0), + dt.stride(2), + dt.stride(1), + dt.stride(3), + dA_cumsum.stride(0), + dA_cumsum.stride(2), + dA_cumsum.stride(1), + dA_cumsum.stride(3), + dx.stride(0), + dx.stride(1), + dx.stride(2), + dx.stride(3), + ddt.stride(0), + ddt.stride(2), + ddt.stride(1), + ddt.stride(3), + ddA_cumsum.stride(0), + ddA_cumsum.stride(2), + ddA_cumsum.stride(1), + ddA_cumsum.stride(3), + BLOCK_SIZE_DSTATE=max(triton.next_power_of_2(dstate), 16), + ) + return dx, ddt.to(dt.dtype), ddA_cumsum.to(dA_cumsum.dtype) + + +def _chunk_state_bwd_db(x, dt, dA_cumsum, dstates, seq_idx=None, B=None, ngroups=1): + batch, seqlen, nheads, headdim = x.shape + _, _, nchunks, chunk_size = dt.shape + dstate = dstates.shape[-1] + assert dt.shape == (batch, nheads, nchunks, chunk_size) + assert dA_cumsum.shape == dt.shape + assert dstates.shape == (batch, nchunks, nheads, headdim, dstate) + if seq_idx is not None: + assert seq_idx.shape == (batch, seqlen) + if B is not None: + assert B.shape == (batch, seqlen, ngroups, dstate) + B_strides = (B.stride(0), B.stride(1), B.stride(2), B.stride(3)) + # Use torch.empty since the Triton kernel will call init_to_zero + ddA_cumsum = torch.empty( + batch, nheads, nchunks, chunk_size, device=x.device, dtype=torch.float32 + ) + ddA_cumsum_strides = ( + ddA_cumsum.stride(0), + ddA_cumsum.stride(2), + ddA_cumsum.stride(1), + ddA_cumsum.stride(3), + ) + else: + B_strides = (0, 0, 0, 0) + ddA_cumsum = None + ddA_cumsum_strides = (0, 0, 0, 0) + nheads_ngroups_ratio = nheads // ngroups + sm_count = torch.cuda.get_device_properties(x.device).multi_processor_count + nheads_per_program = max( + min(math.ceil(batch * nchunks * nheads / sm_count), nheads_ngroups_ratio), 1 + ) + nsplits = triton.cdiv(nheads_ngroups_ratio, nheads_per_program) + dB = torch.empty( + batch, seqlen, nsplits, ngroups, dstate, device=x.device, dtype=torch.float32 + ) + grid_db = lambda META: ( + triton.cdiv(chunk_size, META["BLOCK_SIZE_M"]) + * triton.cdiv(dstate, META["BLOCK_SIZE_N"]), + batch * nchunks, + nsplits * ngroups, + ) + with torch.cuda.device(x.device.index): + _chunk_state_bwd_db_kernel[grid_db]( + x, + dstates, + B, + dt, + dA_cumsum, + seq_idx, + dB, + ddA_cumsum, + chunk_size, + dstate, + headdim, + batch, + seqlen, + nheads, + nheads_per_program, + ngroups, + x.stride(0), + x.stride(1), + x.stride(2), + x.stride(3), + dstates.stride(0), + dstates.stride(1), + dstates.stride(2), + dstates.stride(3), + dstates.stride(4), + *B_strides, + dt.stride(0), + dt.stride(2), + dt.stride(1), + dt.stride(3), + dA_cumsum.stride(0), + dA_cumsum.stride(2), + dA_cumsum.stride(1), + dA_cumsum.stride(3), + *( + (seq_idx.stride(0), seq_idx.stride(1)) + if seq_idx is not None + else (0, 0) + ), + dB.stride(0), + dB.stride(1), + dB.stride(2), + dB.stride(3), + dB.stride(4), + *ddA_cumsum_strides, + HAS_DDA_CS=ddA_cumsum is not None, + HAS_SEQ_IDX=seq_idx is not None, + BLOCK_SIZE_K=max(triton.next_power_of_2(headdim), 16), + ) + dB = dB.sum(2) + if ddA_cumsum is not None: + # The first element of ddA_cumsum is always zero, since that dA_cumsum does not contribute + # to the state of the chunk. + # torch.cumsum(ddA_cumsum[..., 1:], dim=-1, out=ddA_cumsum[..., 1:]) + # But it's easier to just do the cumsum for all elements, the result will be the same. + torch.cumsum(ddA_cumsum, dim=-1, out=ddA_cumsum) + return dB if B is None else (dB, ddA_cumsum) + + +def _chunk_state_bwd_ddAcs_stable(B, x, dt, dA_cumsum, dstates, seq_idx=None): + batch, seqlen, nheads, headdim = x.shape + _, _, nchunks, chunk_size = dt.shape + _, _, ngroups, dstate = B.shape + assert nheads % ngroups == 0 + assert B.shape == (batch, seqlen, ngroups, dstate) + assert dt.shape == (batch, nheads, nchunks, chunk_size) + assert dA_cumsum.shape == dt.shape + assert dstates.shape == (batch, nchunks, nheads, headdim, dstate) + if seq_idx is not None: + assert seq_idx.shape == (batch, seqlen) + # Use torch.empty since the Triton kernel will call init_to_zero + ddA_cumsum = torch.empty( + batch, nheads, nchunks, chunk_size, device=x.device, dtype=torch.float32 + ) + grid_ddtcs = lambda META: ( + triton.cdiv(chunk_size, META["BLOCK_SIZE_M"]) + * triton.cdiv(headdim, META["BLOCK_SIZE_N"]), + batch * nchunks, + nheads, + ) + with torch.cuda.device(x.device.index): + _chunk_state_bwd_ddAcs_stable_kernel[grid_ddtcs]( + x, + B, + dstates, + dt, + dA_cumsum, + seq_idx, + ddA_cumsum, + chunk_size, + headdim, + dstate, + batch, + seqlen, + nheads // ngroups, + x.stride(0), + x.stride(1), + x.stride(2), + x.stride(3), + B.stride(0), + B.stride(1), + B.stride(2), + B.stride(-1), + dstates.stride(0), + dstates.stride(1), + dstates.stride(2), + dstates.stride(3), + dstates.stride(4), + dt.stride(0), + dt.stride(2), + dt.stride(1), + dt.stride(3), + dA_cumsum.stride(0), + dA_cumsum.stride(2), + dA_cumsum.stride(1), + dA_cumsum.stride(3), + *( + (seq_idx.stride(0), seq_idx.stride(1)) + if seq_idx is not None + else (0, 0) + ), + ddA_cumsum.stride(0), + ddA_cumsum.stride(2), + ddA_cumsum.stride(1), + ddA_cumsum.stride(3), + HAS_SEQ_IDX=seq_idx is not None, + BLOCK_SIZE_M=max(triton.next_power_of_2(chunk_size), 16), + BLOCK_SIZE_DSTATE=max(triton.next_power_of_2(dstate), 16), + ) + torch.cumsum(ddA_cumsum[..., 1:], dim=-1, out=ddA_cumsum[..., 1:]) + return ddA_cumsum + + +def chunk_state_varlen(B, x, dt, dA_cumsum, cu_seqlens, chunk_states): + total_seqlen, nheads, headdim = x.shape + _, nchunks, chunk_size = dt.shape + _, ngroups, dstate = B.shape + batch = cu_seqlens.shape[0] - 1 + cu_seqlens = cu_seqlens.contiguous() + assert nheads % ngroups == 0 + assert B.shape == (total_seqlen, ngroups, dstate) + assert dt.shape == (nheads, nchunks, chunk_size) + assert dA_cumsum.shape == dt.shape + assert chunk_states.shape == (nchunks, nheads, headdim, dstate) + states = torch.empty( + batch, + nheads, + headdim, + dstate, + dtype=chunk_states.dtype, + device=chunk_states.device, + ) + grid = lambda META: ( + triton.cdiv(headdim, META["BLOCK_SIZE_M"]) + * triton.cdiv(dstate, META["BLOCK_SIZE_N"]), + batch, + nheads, + ) + with torch.cuda.device(x.device.index): + _chunk_state_varlen_kernel[grid]( + x, + B, + dt, + dA_cumsum, + chunk_states, + cu_seqlens, + states, + headdim, + dstate, + chunk_size, + total_seqlen, + nheads // ngroups, + x.stride(0), + x.stride(1), + x.stride(2), + B.stride(0), + B.stride(1), + B.stride(2), + dt.stride(1), + dt.stride(0), + dt.stride(2), + dA_cumsum.stride(1), + dA_cumsum.stride(0), + dA_cumsum.stride(2), + chunk_states.stride(0), + chunk_states.stride(1), + chunk_states.stride(2), + chunk_states.stride(3), + states.stride(0), + states.stride(1), + states.stride(2), + states.stride(3), + ) + return states + + +class ChunkStateFn(torch.autograd.Function): + + @staticmethod + def forward(ctx, B, x, dt, dA_cumsum, states_in_fp32=True): + batch, seqlen, nheads, headdim = x.shape + _, _, nchunks, chunk_size = dt.shape + assert seqlen <= nchunks * chunk_size + _, _, ngroups, dstate = B.shape + assert B.shape == (batch, seqlen, ngroups, dstate) + assert dt.shape == (batch, nheads, nchunks, chunk_size) + assert dA_cumsum.shape == (batch, nheads, nchunks, chunk_size) + if B.stride(-1) != 1: + B = B.contiguous() + if ( + x.stride(-1) != 1 and x.stride(1) != 1 + ): # Either M or K dimension should be contiguous + x = x.contiguous() + states = _chunk_state_fwd(B, x, dt, dA_cumsum, states_in_fp32=states_in_fp32) + ctx.save_for_backward(B, x, dt, dA_cumsum) + return states + + @staticmethod + def backward(ctx, dstates): + B, x, dt, dA_cumsum = ctx.saved_tensors + batch, seqlen, nheads, headdim = x.shape + _, _, nchunks, chunk_size = dt.shape + _, _, ngroups, dstate = B.shape + assert dstates.shape == (batch, nchunks, nheads, headdim, dstate) + if dstates.stride(-1) != 1: + dstates = dstates.contiguous() + dx, ddt, ddA_cumsum = _chunk_state_bwd_dx(B, x, dt, dA_cumsum, dstates) + dB = _chunk_state_bwd_db(x, dt, dA_cumsum, dstates, ngroups=ngroups) + dB = dB.to(B.dtype) + return dB, dx, ddt, ddA_cumsum, None + + +def chunk_state(B, x, dt, dA_cumsum, states_in_fp32=True): + """ + Argument: + B: (batch, seqlen, ngroups, headdim) + x: (batch, seqlen, nheads, headdim) + dt: (batch, nheads, nchunks, chunk_size) + dA_cumsum: (batch, nheads, nchunks, chunk_size) + Return: + states: (batch, nchunks, nheads, headdim, dstate) + """ + return ChunkStateFn.apply(B, x, dt, dA_cumsum, states_in_fp32) + + +def chunk_state_ref(B, x, dt, dA_cumsum): + """ + Argument: + B: (batch, seqlen, ngroups, headdim) + x: (batch, seqlen, nheads, headdim) + dt: (batch, nheads, nchunks, chunk_size) + dA_cumsum: (batch, nheads, nchunks, chunk_size) + Return: + states: (batch, nchunks, nheads, headdim, dstate) + """ + # Check constraints. + batch, seqlen, nheads, headdim = x.shape + dstate = B.shape[-1] + _, _, nchunks, chunk_size = dt.shape + assert seqlen <= nchunks * chunk_size + assert x.shape == (batch, seqlen, nheads, headdim) + assert dt.shape == (batch, nheads, nchunks, chunk_size) + ngroups = B.shape[2] + assert nheads % ngroups == 0 + assert B.shape == (batch, seqlen, ngroups, dstate) + B = repeat(B, "b l g d -> b l (g h) d", h=nheads // ngroups) + assert dA_cumsum.shape == (batch, nheads, nchunks, chunk_size) + if seqlen < nchunks * chunk_size: + x = F.pad(x, (0, 0, 0, 0, 0, nchunks * chunk_size - seqlen)) + B = F.pad(B, (0, 0, 0, 0, 0, nchunks * chunk_size - seqlen)) + x = rearrange(x, "b (c l) h p -> b c l h p", l=chunk_size) + B = rearrange(B, "b (c l) ... -> b c l ...", l=chunk_size) + decay_states = torch.exp((dA_cumsum[:, :, :, -1:] - dA_cumsum)) + return torch.einsum( + "bclhn,bhcl,bhcl,bclhp->bchpn", + B.to(x.dtype), + decay_states.to(x.dtype), + dt.to(x.dtype), + x, + ) diff --git a/torch-ext/mamba_ssm/ops/triton/ssd_combined.py b/torch-ext/mamba_ssm/ops/triton/ssd_combined.py new file mode 100644 index 0000000000000000000000000000000000000000..a21a40d6215a7444e0939e2c6002d09e632cd8c0 --- /dev/null +++ b/torch-ext/mamba_ssm/ops/triton/ssd_combined.py @@ -0,0 +1,1884 @@ +# Copyright (c) 2024, Tri Dao, Albert Gu. + +"""We want triton==2.1.0 or 2.2.0 for this +""" + +from typing import Optional + +import math +from packaging import version + +import torch +import torch.nn.functional as F +from torch import Tensor +from ...utils.torch import custom_bwd, custom_fwd + +import triton +import triton.language as tl + +from einops import rearrange, repeat + +try: + from causal_conv1d import causal_conv1d_fn + import causal_conv1d_cuda +except ImportError: + causal_conv1d_fn, causal_conv1d_cuda = None, None + +from .ssd_bmm import _bmm_chunk_fwd, _bmm_chunk_bwd +from .ssd_chunk_state import _chunk_cumsum_fwd, _chunk_cumsum_bwd +from .ssd_chunk_state import _chunk_state_fwd, _chunk_state_bwd_db +from .ssd_chunk_state import _chunk_state_bwd_ddAcs_stable +from .ssd_chunk_state import chunk_state, chunk_state_ref +from .ssd_chunk_state import chunk_state_varlen +from .ssd_state_passing import _state_passing_fwd, _state_passing_bwd +from .ssd_state_passing import state_passing, state_passing_ref +from .ssd_chunk_scan import _chunk_scan_fwd, _chunk_scan_bwd_dz, _chunk_scan_bwd_dstates +from .ssd_chunk_scan import _chunk_scan_bwd_dC, _chunk_scan_bwd_dcb +from .ssd_chunk_scan import _chunk_scan_bwd_ddAcs_stable +from .ssd_chunk_scan import chunk_scan, chunk_scan_ref +from .ssd_chunk_scan import _chunk_scan_bwd_ddAcs_prev +from .layernorm_gated import rmsnorm_fn, _layer_norm_fwd, _layer_norm_bwd +from .k_activations import _swiglu_fwd, _swiglu_bwd + +TRITON_22 = version.parse(triton.__version__) >= version.parse("2.2.0") + + +def init_to_zero(names): + return lambda nargs: [ + nargs[name].zero_() for name in names if nargs[name] is not None + ] + + +@triton.autotune( + configs=[ + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 256, "BLOCK_SIZE_K": 64}, + num_stages=3, + num_warps=8, + pre_hook=init_to_zero(["ddt_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 256, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + pre_hook=init_to_zero(["ddt_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 128, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + pre_hook=init_to_zero(["ddt_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 64, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + pre_hook=init_to_zero(["ddt_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 128, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + pre_hook=init_to_zero(["ddt_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 128, "BLOCK_SIZE_N": 32, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + pre_hook=init_to_zero(["ddt_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 32, "BLOCK_SIZE_K": 32}, + num_stages=5, + num_warps=4, + pre_hook=init_to_zero(["ddt_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 32, "BLOCK_SIZE_N": 64, "BLOCK_SIZE_K": 32}, + num_stages=5, + num_warps=4, + pre_hook=init_to_zero(["ddt_ptr"]), + ), + triton.Config( + {"BLOCK_SIZE_M": 64, "BLOCK_SIZE_N": 64, "BLOCK_SIZE_K": 32}, + num_stages=4, + num_warps=4, + pre_hook=init_to_zero(["ddt_ptr"]), + ), + ], + key=["chunk_size", "hdim", "dstate"], +) +@triton.jit +def _chunk_scan_chunk_state_bwd_dx_kernel( + # Pointers to matrices + x_ptr, + cb_ptr, + dout_ptr, + dt_ptr, + dA_cumsum_ptr, + seq_idx_ptr, + D_ptr, + b_ptr, + dstates_ptr, + dx_ptr, + ddt_ptr, + dD_ptr, + # Matrix dimensions + chunk_size, + hdim, + dstate, + batch, + seqlen, + nheads_ngroups_ratio, + # Strides + stride_x_batch, + stride_x_seqlen, + stride_x_head, + stride_x_hdim, + stride_cb_batch, + stride_cb_chunk, + stride_cb_head, + stride_cb_csize_m, + stride_cb_csize_k, + stride_dout_batch, + stride_dout_seqlen, + stride_dout_head, + stride_dout_hdim, + stride_dt_batch, + stride_dt_chunk, + stride_dt_head, + stride_dt_csize, + stride_dA_cs_batch, + stride_dA_cs_chunk, + stride_dA_cs_head, + stride_dA_cs_csize, + stride_seq_idx_batch, + stride_seq_idx_seqlen, + stride_D_head, + stride_b_batch, + stride_b_seqlen, + stride_b_head, + stride_b_dstate, + stride_dstates_batch, + stride_dstates_chunk, + stride_dstates_head, + stride_dstates_hdim, + stride_dstates_dstate, + stride_dx_batch, + stride_dx_seqlen, + stride_dx_head, + stride_dx_hdim, + stride_ddt_batch, + stride_ddt_chunk, + stride_ddt_head, + stride_ddt_csize, + stride_dD_batch, + stride_dD_chunk, + stride_dD_head, + stride_dD_csize, + stride_dD_hdim, + # Meta-parameters + HAS_D: tl.constexpr, + D_HAS_HDIM: tl.constexpr, + HAS_SEQ_IDX: tl.constexpr, + BLOCK_SIZE_M: tl.constexpr, + BLOCK_SIZE_N: tl.constexpr, + BLOCK_SIZE_K: tl.constexpr, + BLOCK_SIZE_DSTATE: tl.constexpr, + IS_TRITON_22: tl.constexpr, +): + pid_bc = tl.program_id(axis=1) + pid_c = pid_bc // batch + pid_b = pid_bc - pid_c * batch + pid_h = tl.program_id(axis=2) + num_pid_n = tl.cdiv(hdim, BLOCK_SIZE_N) + pid_m = tl.program_id(axis=0) // num_pid_n + pid_n = tl.program_id(axis=0) % num_pid_n + x_ptr += ( + pid_b * stride_x_batch + + pid_c * chunk_size * stride_x_seqlen + + pid_h * stride_x_head + ) + cb_ptr += ( + pid_b * stride_cb_batch + + pid_c * stride_cb_chunk + + (pid_h // nheads_ngroups_ratio) * stride_cb_head + ) + dout_ptr += ( + pid_b * stride_dout_batch + + pid_c * chunk_size * stride_dout_seqlen + + pid_h * stride_dout_head + ) + dt_ptr += pid_b * stride_dt_batch + pid_c * stride_dt_chunk + pid_h * stride_dt_head + ddt_ptr += ( + pid_b * stride_ddt_batch + pid_c * stride_ddt_chunk + pid_h * stride_ddt_head + ) + dA_cumsum_ptr += ( + pid_b * stride_dA_cs_batch + + pid_c * stride_dA_cs_chunk + + pid_h * stride_dA_cs_head + ) + b_ptr += ( + pid_b * stride_b_batch + + pid_c * chunk_size * stride_b_seqlen + + (pid_h // nheads_ngroups_ratio) * stride_b_head + ) + dstates_ptr += ( + pid_b * stride_dstates_batch + + pid_c * stride_dstates_chunk + + pid_h * stride_dstates_head + ) + if HAS_SEQ_IDX: + seq_idx_ptr += ( + pid_b * stride_seq_idx_batch + pid_c * chunk_size * stride_seq_idx_seqlen + ) + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + + chunk_size_limit = min(chunk_size, seqlen - pid_c * chunk_size) + + acc = tl.zeros((BLOCK_SIZE_M, BLOCK_SIZE_N), dtype=tl.float32) + + dA_cs_m = tl.load( + dA_cumsum_ptr + offs_m * stride_dA_cs_csize, + mask=offs_m < chunk_size_limit, + other=0.0, + ).to(tl.float32) + + dA_cs_last = tl.load(dA_cumsum_ptr + (chunk_size - 1) * stride_dA_cs_csize).to( + tl.float32 + ) + if not HAS_SEQ_IDX: + scale = tl.exp(dA_cs_last - dA_cs_m) + else: + seq_idx_m = tl.load( + seq_idx_ptr + offs_m * stride_seq_idx_seqlen, + mask=offs_m < chunk_size_limit, + other=-1, + ) + seq_idx_last = tl.load( + seq_idx_ptr + (chunk_size_limit - 1) * stride_seq_idx_seqlen + ) + scale = tl.where(seq_idx_m == seq_idx_last, tl.exp(dA_cs_last - dA_cs_m), 0.0) + # Might be faster to just do 1 iteration with larger BLOCK_SIZE_K, up to block size 128 + # However, we're getting error with the Triton compiler 2.1.0 for that code path: + # Unexpected mma -> mma layout conversion + # Triton 2.2.0 fixes this + offs_dstate = tl.arange( + 0, + ( + BLOCK_SIZE_DSTATE + if IS_TRITON_22 and BLOCK_SIZE_DSTATE <= 128 + else BLOCK_SIZE_K + ), + ) + b_ptrs = b_ptr + ( + offs_m[:, None] * stride_b_seqlen + offs_dstate[None, :] * stride_b_dstate + ) + dstates_ptrs = dstates_ptr + ( + offs_n[None, :] * stride_dstates_hdim + + offs_dstate[:, None] * stride_dstates_dstate + ) + if IS_TRITON_22 and BLOCK_SIZE_DSTATE <= 128: + b = tl.load( + b_ptrs, + mask=(offs_m[:, None] < chunk_size_limit) & (offs_dstate[None, :] < dstate), + other=0.0, + ) + dstates = tl.load( + dstates_ptrs, + mask=(offs_dstate[:, None] < dstate) & (offs_n[None, :] < hdim), + other=0.0, + ) + dstates = dstates.to(b_ptr.dtype.element_ty) + acc = tl.dot(b, dstates) * scale[:, None] + else: + for k in range(0, dstate, BLOCK_SIZE_K): + b = tl.load( + b_ptrs, + mask=(offs_m[:, None] < chunk_size_limit) + & (offs_dstate[None, :] < dstate - k), + other=0.0, + ) + dstates = tl.load( + dstates_ptrs, + mask=(offs_dstate[:, None] < dstate - k) & (offs_n[None, :] < hdim), + other=0.0, + ) + dstates = dstates.to(b_ptr.dtype.element_ty) + acc += tl.dot(b, dstates) + b_ptrs += BLOCK_SIZE_K * stride_b_dstate + dstates_ptrs += BLOCK_SIZE_K * stride_dstates_dstate + acc *= scale[:, None] + + # x_ptrs = x_ptr + (offs_m[:, None] * stride_x_seqlen + offs_n[None, :] * stride_x_hdim) + # x = tl.load(x_ptrs, mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), other=0.0).to(tl.float32) + # dt_ptrs = dt_ptr + offs_m * stride_dt_csize + # dt_m = tl.load(dt_ptrs, mask=offs_m < chunk_size_limit, other=0.0).to(tl.float32) + # ddt = tl.sum(acc * x, axis=1) * dt_m + # ddt_ptrs = ddt_ptr + offs_m * stride_ddt_csize + # tl.atomic_add(ddt_ptrs, ddt, mask=offs_m < chunk_size) + + offs_k = tl.arange(0, BLOCK_SIZE_K) + cb_ptrs = cb_ptr + ( + offs_m[:, None] * stride_cb_csize_m + offs_k[None, :] * stride_cb_csize_k + ) + dout_ptrs = dout_ptr + ( + offs_k[:, None] * stride_dout_seqlen + offs_n[None, :] * stride_dout_hdim + ) + dA_cumsum_ptrs = dA_cumsum_ptr + offs_k * stride_dA_cs_csize + K_MAX = chunk_size_limit + K_MIN = pid_m * BLOCK_SIZE_M + cb_ptrs += K_MIN * stride_cb_csize_k + dout_ptrs += K_MIN * stride_dout_seqlen + dA_cumsum_ptrs += K_MIN * stride_dA_cs_csize + for k in range(K_MIN, K_MAX, BLOCK_SIZE_K): + k = tl.multiple_of(k, BLOCK_SIZE_K) + # For some reason setting mask to (offs_m[:, None] < chunk_size_limit) is much slower + cb = tl.load( + cb_ptrs, + mask=(offs_m[:, None] < chunk_size) & (offs_k[None, :] < K_MAX - k), + other=0.0, + ) + dout = tl.load( + dout_ptrs, + mask=(offs_k[:, None] < K_MAX - k) & (offs_n[None, :] < hdim), + other=0.0, + ) + dA_cs_k = tl.load(dA_cumsum_ptrs, mask=offs_k < K_MAX - k, other=0.0).to( + tl.float32 + ) + cb *= tl.exp(dA_cs_k[None, :] - dA_cs_m[:, None]) + # If we don't have the (k + offs_k[None, :] < K_MAX) mask, for indices outside this range, + # we might have dA_cs_m = 0.0 and dA_cs_k very negative, and tl.exp will return inf. + # Multiplying with cb, which is 0.0 outside the range, will make the result NaN. + # This will cause NaN in acc, and hence NaN in dx and ddt. + mask = (k + offs_k[None, :] >= offs_m[:, None]) & (k + offs_k[None, :] < K_MAX) + cb = tl.where(mask, cb, 0.0) + cb = cb.to(dout_ptr.dtype.element_ty) + acc += tl.dot(cb, dout) + cb_ptrs += BLOCK_SIZE_K * stride_cb_csize_k + dout_ptrs += BLOCK_SIZE_K * stride_dout_seqlen + dA_cumsum_ptrs += BLOCK_SIZE_K * stride_dA_cs_csize + + offs_m = pid_m * BLOCK_SIZE_M + tl.arange(0, BLOCK_SIZE_M) + offs_n = pid_n * BLOCK_SIZE_N + tl.arange(0, BLOCK_SIZE_N) + dt_ptrs = dt_ptr + offs_m * stride_dt_csize + dt_m = tl.load(dt_ptrs, mask=offs_m < chunk_size_limit, other=0.0).to(tl.float32) + dx = acc * dt_m[:, None] + dx_ptr += ( + pid_b * stride_dx_batch + + pid_c * chunk_size * stride_dx_seqlen + + pid_h * stride_dx_head + ) + dx_ptrs = dx_ptr + ( + offs_m[:, None] * stride_dx_seqlen + offs_n[None, :] * stride_dx_hdim + ) + if HAS_D: + dout_res_ptrs = dout_ptr + ( + offs_m[:, None] * stride_dout_seqlen + offs_n[None, :] * stride_dout_hdim + ) + dout_res = tl.load( + dout_res_ptrs, + mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), + other=0.0, + ).to(tl.float32) + if D_HAS_HDIM: + D = tl.load( + D_ptr + pid_h * stride_D_head + offs_n, mask=offs_n < hdim, other=0.0 + ).to(tl.float32) + else: + D = tl.load(D_ptr + pid_h * stride_D_head).to(tl.float32) + dx += dout_res * D + tl.store( + dx_ptrs, + dx, + mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), + ) + + x_ptrs = x_ptr + ( + offs_m[:, None] * stride_x_seqlen + offs_n[None, :] * stride_x_hdim + ) + x = tl.load( + x_ptrs, + mask=(offs_m[:, None] < chunk_size_limit) & (offs_n[None, :] < hdim), + other=0.0, + ).to(tl.float32) + if HAS_D: + dD_ptr += ( + pid_b * stride_dD_batch + + pid_c * stride_dD_chunk + + pid_h * stride_dD_head + + pid_m * stride_dD_csize + ) + if D_HAS_HDIM: + dD_ptrs = dD_ptr + offs_n * stride_dD_hdim + dD = tl.sum(dout_res * x, axis=0) + tl.store(dD_ptrs, dD, mask=offs_n < hdim) + else: + dD = tl.sum(dout_res * x) + tl.store(dD_ptr, dD) + ddt = tl.sum(acc * x, axis=1) + ddt_ptrs = ddt_ptr + offs_m * stride_ddt_csize + tl.atomic_add(ddt_ptrs, ddt, mask=offs_m < chunk_size) + + +def _chunk_scan_chunk_state_bwd_dx( + x, dt, dA_cumsum, B, CB, dout, dstates, D=None, seq_idx=None, dx=None +): + batch, seqlen, nheads, headdim = x.shape + _, _, nchunks, chunk_size = dt.shape + _, _, ngroups, dstate = B.shape + assert nheads % ngroups == 0 + assert B.shape == (batch, seqlen, ngroups, dstate) + assert CB.shape == (batch, nchunks, ngroups, chunk_size, chunk_size) + assert dt.shape == (batch, nheads, nchunks, chunk_size) + assert dA_cumsum.shape == dt.shape + assert dout.shape == x.shape + assert dstates.shape == (batch, nchunks, nheads, headdim, dstate) + if seq_idx is not None: + assert seq_idx.shape == (batch, seqlen) + if D is not None: + assert D.shape == (nheads, headdim) or D.shape == (nheads,) + assert D.stride(-1) == 1 + BLOCK_SIZE_min = 32 + dD = torch.empty( + triton.cdiv(chunk_size, BLOCK_SIZE_min), + batch, + nchunks, + nheads, + headdim if D.dim() == 2 else 1, + device=D.device, + dtype=torch.float32, + ) + else: + dD = None + dD_strides = ( + (dD.stride(0), dD.stride(1), dD.stride(2), dD.stride(3), dD.stride(4)) + if D is not None + else (0, 0, 0, 0, 0) + ) + if dx is None: + dx = torch.empty_like(x) + else: + assert dx.shape == x.shape + ddt = torch.empty( + batch, nheads, nchunks, chunk_size, device=dout.device, dtype=torch.float32 + ) + grid_dx = lambda META: ( + triton.cdiv(chunk_size, META["BLOCK_SIZE_M"]) + * triton.cdiv(headdim, META["BLOCK_SIZE_N"]), + batch * nchunks, + nheads, + ) + with torch.cuda.device(x.device.index): + _chunk_scan_chunk_state_bwd_dx_kernel[grid_dx]( + x, + CB, + dout, + dt, + dA_cumsum, + seq_idx, + D, + B, + dstates, + dx, + ddt, + dD, + chunk_size, + headdim, + dstate, + batch, + seqlen, + nheads // ngroups, + x.stride(0), + x.stride(1), + x.stride(2), + x.stride(3), + CB.stride(0), + CB.stride(1), + CB.stride(2), + CB.stride(-1), + CB.stride(-2), + dout.stride(0), + dout.stride(1), + dout.stride(2), + dout.stride(3), + dt.stride(0), + dt.stride(2), + dt.stride(1), + dt.stride(3), + dA_cumsum.stride(0), + dA_cumsum.stride(2), + dA_cumsum.stride(1), + dA_cumsum.stride(3), + *( + (seq_idx.stride(0), seq_idx.stride(1)) + if seq_idx is not None + else (0, 0) + ), + D.stride(0) if D is not None else 0, + B.stride(0), + B.stride(1), + B.stride(2), + B.stride(3), + dstates.stride(0), + dstates.stride(1), + dstates.stride(2), + dstates.stride(3), + dstates.stride(4), + dx.stride(0), + dx.stride(1), + dx.stride(2), + dx.stride(3), + ddt.stride(0), + ddt.stride(2), + ddt.stride(1), + ddt.stride(3), + dD_strides[1], + dD_strides[2], + dD_strides[3], + dD_strides[0], + dD_strides[4], + D is not None, + D.dim() == 2 if D is not None else True, + HAS_SEQ_IDX=seq_idx is not None, + BLOCK_SIZE_DSTATE=max(triton.next_power_of_2(dstate), 16), + IS_TRITON_22=TRITON_22 + ) + if D is not None: + BLOCK_SIZE_actual = _chunk_scan_chunk_state_bwd_dx_kernel.best_config.kwargs[ + "BLOCK_SIZE_M" + ] + n_valid_blocks = (chunk_size + BLOCK_SIZE_actual - 1) // BLOCK_SIZE_actual + dD = dD[:n_valid_blocks].sum(dim=(0, 1, 2)).to(dtype=D.dtype) + if D.dim() == 1: + dD = rearrange(dD, "h 1 -> h") + return dx, ddt.to(dtype=dt.dtype), dD + + +def _mamba_chunk_scan_combined_fwd( + x, + dt, + A, + B, + C, + chunk_size, + D=None, + z=None, + dt_bias=None, + initial_states=None, + seq_idx=None, + cu_seqlens=None, + dt_softplus=False, + dt_limit=(0.0, float("inf")), +): + batch, seqlen, nheads, headdim = x.shape + _, _, ngroups, dstate = B.shape + assert nheads % ngroups == 0 + assert B.shape == (batch, seqlen, ngroups, dstate) + assert x.shape == (batch, seqlen, nheads, headdim) + assert dt.shape == (batch, seqlen, nheads) + assert A.shape == (nheads,) + assert C.shape == B.shape + if z is not None: + assert z.shape == x.shape + if D is not None: + assert D.shape == (nheads, headdim) or D.shape == (nheads,) + if seq_idx is not None: + assert seq_idx.shape == (batch, seqlen) + if B.stride(-1) != 1: + B = B.contiguous() + if C.stride(-1) != 1: + C = C.contiguous() + if ( + x.stride(-1) != 1 and x.stride(1) != 1 + ): # Either M or K dimension should be contiguous + x = x.contiguous() + if ( + z is not None and z.stride(-1) != 1 and z.stride(1) != 1 + ): # Either M or K dimension should be contiguous + z = z.contiguous() + if D is not None and D.stride(-1) != 1: + D = D.contiguous() + if initial_states is not None: + assert initial_states.shape == (batch, nheads, headdim, dstate) + # # (batch, nchunks, chunk_size, chunk_size) or (batch, nchunks, nheads, chunk_size, chunk_size) + # dA_cumsum_tmp0, dt_tmp0 = _chunk_cumsum_fwd(dt[:, :147], A, chunk_size, dt_bias=dt_bias, dt_softplus=dt_softplus) + # dA_cumsum_tmp1, dt_tmp1 = _chunk_cumsum_fwd(dt[:, 147:], A, chunk_size, dt_bias=dt_bias, dt_softplus=dt_softplus) + # dA_cumsum_tmp2, dt_tmp2 = _chunk_cumsum_fwd(dt[:, 147:256], A, chunk_size, dt_bias=dt_bias, dt_softplus=dt_softplus) + dA_cumsum, dt = _chunk_cumsum_fwd( + dt, A, chunk_size, dt_bias=dt_bias, dt_softplus=dt_softplus, dt_limit=dt_limit + ) + states = _chunk_state_fwd(B, x, dt, dA_cumsum, seq_idx=seq_idx, states_in_fp32=True) + # states_tmp0 = _chunk_state_fwd(B[:, :147], x[:, :147], dt_tmp0, dA_cumsum_tmp0, states_in_fp32=True) + # states_tmp1 = _chunk_state_fwd(B[:, 147:], x[:, 147:], dt_tmp1, dA_cumsum_tmp1, states_in_fp32=True) + # states_tmp2 = _chunk_state_fwd(B[:, 147:256], x[:, 147:256], dt_tmp2, dA_cumsum_tmp2, states_in_fp32=True) + states, final_states = _state_passing_fwd( + rearrange(states, "... p n -> ... (p n)"), + dA_cumsum[:, :, :, -1], + initial_states=( + rearrange(initial_states, "... p n -> ... (p n)") + if initial_states is not None + else None + ), + seq_idx=seq_idx, + chunk_size=chunk_size, + out_dtype=C.dtype, + ) + states, final_states = [ + rearrange(t, "... (p n) -> ... p n", n=dstate) for t in [states, final_states] + ] + # states_tmp0 = rearrange(_state_passing_fwd(rearrange(states_tmp0, "... p n -> ... (p n)"), dA_cumsum_tmp0[:, :, :, -1], chunk_size=chunk_size), "... (p n) -> ... p n", n=dstate) + # states_tmp1 = rearrange(_state_passing_fwd(rearrange(states_tmp1, "... p n -> ... (p n)"), dA_cumsum_tmp1[:, :, :, -1], chunk_size=chunk_size), "... (p n) -> ... p n", n=dstate) + CB = _bmm_chunk_fwd(C, B, chunk_size, seq_idx=seq_idx, output_dtype=torch.float32) + out, out_x = _chunk_scan_fwd( + CB, x, dt, dA_cumsum, C, states, D=D, z=z, seq_idx=seq_idx + ) + if cu_seqlens is None: + return out, out_x, dt, dA_cumsum, states, final_states + else: + assert ( + batch == 1 + ), "passing cu_seqlens to get the varlen states is only supported if batch dimension is 1" + varlen_states = chunk_state_varlen( + B.squeeze(0), + x.squeeze(0), + dt.squeeze(0), + dA_cumsum.squeeze(0), + cu_seqlens, + states.squeeze(0), + ) + return out, out_x, dt, dA_cumsum, states, final_states, varlen_states + + +def _mamba_chunk_scan_combined_bwd( + dout, + x, + dt, + A, + B, + C, + out, + chunk_size, + D=None, + z=None, + dt_bias=None, + initial_states=None, + dfinal_states=None, + seq_idx=None, + dt_softplus=False, + dt_limit=(0.0, float("inf")), + dx=None, + ddt=None, + dB=None, + dC=None, + dz=None, + recompute_output=False, +): + if dout.stride(-1) != 1: + dout = dout.contiguous() + batch, seqlen, nheads, headdim = x.shape + nchunks = math.ceil(seqlen / chunk_size) + _, _, ngroups, dstate = B.shape + assert dout.shape == (batch, seqlen, nheads, headdim) + assert dt.shape == (batch, seqlen, nheads) + assert A.shape == (nheads,) + assert nheads % ngroups == 0 + assert B.shape == (batch, seqlen, ngroups, dstate) + assert C.shape == B.shape + assert out.shape == x.shape + if initial_states is not None: + assert initial_states.shape == (batch, nheads, headdim, dstate) + if seq_idx is not None: + assert seq_idx.shape == (batch, seqlen) + if dx is not None: + assert dx.shape == x.shape + if dB is not None: + assert dB.shape == B.shape + dB_given = dB + else: + dB_given = torch.empty_like(B) + if dC is not None: + assert dC.shape == C.shape + dC_given = dC + else: + dC_given = torch.empty_like(C) + if dz is not None: + assert z is not None + assert dz.shape == z.shape + if ddt is not None: + assert ddt.shape == dt.shape + ddt_given = ddt + else: + ddt_given = torch.empty_like(dt) + # TD: For some reason Triton (2.1.0 and 2.2.0) errors with + # "[CUDA]: invalid device context" (e.g. during varlne test), and cloning makes it work. Idk why. + dt_in = dt.clone() + dA_cumsum, dt = _chunk_cumsum_fwd( + dt_in, + A, + chunk_size, + dt_bias=dt_bias, + dt_softplus=dt_softplus, + dt_limit=dt_limit, + ) + CB = _bmm_chunk_fwd(C, B, chunk_size, seq_idx=seq_idx, output_dtype=torch.float32) + states = _chunk_state_fwd(B, x, dt, dA_cumsum, seq_idx=seq_idx, states_in_fp32=True) + states, _ = _state_passing_fwd( + rearrange(states, "... p n -> ... (p n)"), + dA_cumsum[:, :, :, -1], + initial_states=( + rearrange(initial_states, "... p n -> ... (p n)") + if initial_states is not None + else None + ), + seq_idx=seq_idx, + chunk_size=chunk_size, + ) + states = rearrange(states, "... (p n) -> ... p n", n=dstate) + if z is not None: + dz, dout, dD, *rest = _chunk_scan_bwd_dz( + x, + z, + out, + dout, + chunk_size=chunk_size, + has_ddAcs=False, + D=D, + dz=dz, + recompute_output=recompute_output, + ) + outz = rest[0] if recompute_output else out + else: + dz = None + outz = out + dstates = _chunk_scan_bwd_dstates( + C, dA_cumsum, dout, seq_idx=seq_idx, dtype=states.dtype + ) + # dstates has length nchunks, containing the gradient to initial states at index 0 and + # gradient to the states of chunk (nchunks - 2) at index (nchunks - 1) + # Do computation in fp32 but convert dstates and states to fp16/bf16 since dstates and states + # will be used in matmul in the next kernels. + dstates, ddA_chunk_cumsum, dinitial_states, states = _state_passing_bwd( + rearrange(states, "... p n -> ... (p n)"), + dA_cumsum[:, :, :, -1], + rearrange(dstates, "... p n -> ... (p n)"), + dfinal_states=( + rearrange(dfinal_states, "... p n -> ... (p n)") + if dfinal_states is not None + else None + ), + seq_idx=seq_idx, + has_initial_states=initial_states is not None, + dstates_dtype=x.dtype, + states_dtype=x.dtype, + chunk_size=chunk_size, + ) + # dstates has length nchunks, containing the gradient to states of chunk 0 at index 0 and + # gradient to the final states at index (nchunks - 1) + # states has length nchunks, containing the initial states at index 0 and the state for chunk (nchunks - 2) at index (nchunks - 1) + # The final states is not stored. + states = rearrange(states, "... (p n) -> ... p n", n=dstate) + dstates = rearrange(dstates, "... (p n) -> ... p n", n=dstate) + dinitial_states = ( + rearrange(dinitial_states, "... (p n) -> ... p n", n=dstate) + if dinitial_states is not None + else None + ) + dx, ddt, dD_from_x = _chunk_scan_chunk_state_bwd_dx( + x, dt, dA_cumsum, B, CB, dout, dstates, D=D, seq_idx=seq_idx, dx=dx + ) + # dB = _chunk_state_bwd_db(x, dt, dA_cumsum, dstates, seq_idx=seq_idx, ngroups=ngroups) + dB, ddA_next = _chunk_state_bwd_db( + x, dt, dA_cumsum, dstates, seq_idx=seq_idx, B=B, ngroups=ngroups + ) + # dC = _chunk_scan_bwd_dC(states[:, :-1].to(x.dtype), dA_cumsum, dout, seq_idx=seq_idx, ngroups=ngroups) + dC, ddA_cumsum_prev = _chunk_scan_bwd_dC( + states.to(x.dtype), dA_cumsum, dout, seq_idx=seq_idx, C=C, ngroups=ngroups + ) + # Computing ddA with the dcb kernel is much slower, so we're not using it for now + dCB = _chunk_scan_bwd_dcb(x, dt, dA_cumsum, dout, seq_idx=seq_idx, ngroups=ngroups) + # dCB, ddA_tmp = _chunk_scan_bwd_dcb(x, dt, dA_cumsum, dout, seq_idx=seq_idx, CB=CB, ngroups=ngroups) + dCB = dCB.to(CB.dtype) + _bmm_chunk_bwd(C, dCB, residual=dB, out=dB_given) + _bmm_chunk_bwd(B, rearrange(dCB, "... l s -> ... s l"), residual=dC, out=dC_given) + # If we have z, then dout_x is recomputed in fp32 so dD = (dout_x * x).sum() is more accurate + # than dD_from_x = (dout_x * x).sum() where dout_x is in fp16/bf16 + if z is None: + dD = dD_from_x + # Formula for ddA_cumsum, assuming out is the output of the forward pass before adding x * D. + # ddA_cumsum = torch.einsum("bclhp,bclhp->bhcl", out.float(), dout.float()) - ddt * dt + # However, this is numerically unstable: when we do the reverse cumsum on ddA_cumsum, there might + # be a lot of underflow. + + # This is already done as part of bwd_dC kernel + # ddA_cumsum_prev = _chunk_scan_bwd_ddAcs_prev(states[:, :-1], C, dout, dA_cumsum, seq_idx=seq_idx) + ddA_cumsum_prev[..., -1] += ddA_chunk_cumsum + ddA_prev = ddA_cumsum_prev.flip([-1]).cumsum(dim=-1).flip([-1]) + # This is already done as part of bwd_dB kernel + # ddA_next = _chunk_state_bwd_ddAcs_stable(B, x, dt, dA_cumsum, dstates, seq_idx=seq_idx) + # We don't need to pass in seq_idx because CB also zeros out entries where seq_idx[i] != seq_idx[j] + ddA = _chunk_scan_bwd_ddAcs_stable(x, dt, dA_cumsum, dout, CB) + ddA += ddA_next + ddA_prev + + ddt_given, dA, ddt_bias = _chunk_cumsum_bwd( + ddA, + ddt, + dt_in, + A, + dt_bias=dt_bias, + dt_softplus=dt_softplus, + dt_limit=dt_limit, + ddt=ddt_given, + ) + + # These 2 lines are just to test ddt and dA being computed by old code + # _, dA = selective_scan_bwd(dout, x, dt, A, B, C, D=D.float(), z=z) + # ddt_given.copy_(ddt) + + return_vals = ( + dx, + ddt_given, + dA, + dB_given, + dC_given, + dD, + dz, + ddt_bias, + dinitial_states, + ) + return return_vals if not recompute_output else (*return_vals, outz) + + +def selective_scan_bwd(dout, x, dt, A, B, C, D=None, z=None): + """ + Argument: + dout: (batch, seqlen, nheads, headdim) + x: (batch, seqlen, nheads, headdim) + dt: (batch, nheads, nchunks, chunk_size) or (batch, nheads, headdim, nchunks, chunk_size) + A: (nheads) or (dim, dstate) + B: (batch, seqlen, ngroups, dstate) + C: (batch, seqlen, ngroups, dstate) + D: (nheads, headdim) or (nheads,) + z: (batch, seqlen, nheads, headdim) + Return: + out: (batch, seqlen, nheads, headdim) + """ + import selective_scan + + batch, seqlen, nheads, headdim = x.shape + chunk_size = dt.shape[-1] + _, _, ngroups, dstate = B.shape + assert nheads % ngroups == 0 + x = rearrange(x, "b l h p -> b (h p) l") + squeeze_dt = dt.dim() == 4 + if dt.dim() == 4: + dt = repeat(dt, "b h c l -> b h p c l", p=headdim) + dt = rearrange(dt, "b h p c l -> b (h p) (c l)", p=headdim) + squeeze_A = A.dim() == 1 + if A.dim() == 1: + A = repeat(A, "h -> (h p) n", p=headdim, n=dstate).to(dtype=torch.float32) + else: + A = A.to(dtype=torch.float32) + B = rearrange(B, "b l g n -> b g n l") + C = rearrange(C, "b l g n -> b g n l") + if D is not None: + if D.dim() == 2: + D = rearrange(D, "h p -> (h p)") + else: + D = repeat(D, "h -> (h p)", p=headdim) + if z is not None: + z = rearrange(z, "b l h p -> b (h p) l") + + if x.stride(-1) != 1: + x = x.contiguous() + if dt.stride(-1) != 1: + dt = dt.contiguous() + if D is not None: + D = D.contiguous() + if B.stride(-1) != 1: + B = B.contiguous() + if C.stride(-1) != 1: + C = C.contiguous() + if z is not None and z.stride(-1) != 1: + z = z.contiguous() + _, intermediate, *rest = selective_scan.fwd( + x, dt.to(dtype=x.dtype), A, B, C, D, z, None, False + ) + if z is not None: + out = rest[0] + else: + out = None + + dout = rearrange(dout, "b l h p -> b (h p) l") + + if dout.stride(-1) != 1: + dout = dout.contiguous() + # The kernel supports passing in a pre-allocated dz (e.g., in case we want to fuse the + # backward of selective_scan with the backward of chunk). + # Here we just pass in None and dz will be allocated in the C++ code. + _, ddt, dA, *rest = selective_scan.bwd( + x, + dt.to(dtype=x.dtype), + A, + B, + C, + D, + z, + None, + dout, + intermediate, + out, + None, + False, + False, # option to recompute out_z, not used here + ) + ddt = rearrange(ddt, "b (h p) (c l) -> b h p c l", p=headdim, l=chunk_size) + if squeeze_dt: + ddt = ddt.float().sum(dim=2) + if squeeze_A: + dA = rearrange(dA, "(h p) n -> h p n", p=headdim).sum(dim=(1, 2)) + return ddt, dA + + +class MambaChunkScanCombinedFn(torch.autograd.Function): + + @staticmethod + def forward( + ctx, + x, + dt, + A, + B, + C, + chunk_size, + D=None, + z=None, + dt_bias=None, + initial_states=None, + seq_idx=None, + cu_seqlens=None, + dt_softplus=False, + dt_limit=(0.0, float("inf")), + return_final_states=False, + return_varlen_states=False, + ): + ctx.dt_dtype = dt.dtype + if not return_varlen_states: + cu_seqlens = None + else: + assert ( + cu_seqlens is not None + ), "cu_seqlens must be provided if return_varlen_states is True" + out, out_x, dt_out, dA_cumsum, states, final_states, *rest = ( + _mamba_chunk_scan_combined_fwd( + x, + dt, + A, + B, + C, + chunk_size, + D=D, + z=z, + dt_bias=dt_bias, + initial_states=initial_states, + seq_idx=seq_idx, + cu_seqlens=cu_seqlens, + dt_softplus=dt_softplus, + dt_limit=dt_limit, + ) + ) + ctx.save_for_backward( + out if z is None else out_x, + x, + dt, + dA_cumsum, + A, + B, + C, + D, + z, + dt_bias, + initial_states, + seq_idx, + ) + ctx.dt_softplus = dt_softplus + ctx.chunk_size = chunk_size + ctx.dt_limit = dt_limit + ctx.return_final_states = return_final_states + ctx.return_varlen_states = return_varlen_states + if not return_varlen_states: + return out if not return_final_states else (out, final_states) + else: + varlen_states = rest[0] + return ( + (out, varlen_states) + if not return_final_states + else (out, final_states, varlen_states) + ) + + @staticmethod + def backward(ctx, dout, *args): + out, x, dt, dA_cumsum, A, B, C, D, z, dt_bias, initial_states, seq_idx = ( + ctx.saved_tensors + ) + assert ( + not ctx.return_varlen_states + ), "return_varlen_states is not supported in backward" + dfinal_states = args[0] if ctx.return_final_states else None + dx, ddt, dA, dB, dC, dD, dz, ddt_bias, dinitial_states = ( + _mamba_chunk_scan_combined_bwd( + dout, + x, + dt, + A, + B, + C, + out, + ctx.chunk_size, + D=D, + z=z, + dt_bias=dt_bias, + initial_states=initial_states, + dfinal_states=dfinal_states, + seq_idx=seq_idx, + dt_softplus=ctx.dt_softplus, + dt_limit=ctx.dt_limit, + ) + ) + return ( + dx, + ddt, + dA, + dB, + dC, + None, + dD, + dz, + ddt_bias, + dinitial_states, + None, + None, + None, + None, + None, + None, + ) + + +def mamba_chunk_scan_combined( + x, + dt, + A, + B, + C, + chunk_size, + D=None, + z=None, + dt_bias=None, + initial_states=None, + seq_idx=None, + cu_seqlens=None, + dt_softplus=False, + dt_limit=(0.0, float("inf")), + return_final_states=False, + return_varlen_states=False, +): + """ + Argument: + x: (batch, seqlen, nheads, headdim) + dt: (batch, seqlen, nheads) + A: (nheads) + B: (batch, seqlen, ngroups, dstate) + C: (batch, seqlen, ngroups, dstate) + chunk_size: int + D: (nheads, headdim) or (nheads,) + z: (batch, seqlen, nheads, headdim) + dt_bias: (nheads,) + initial_states: (batch, nheads, headdim, dstate) + seq_idx: (batch, seqlen) + cu_seqlens: (num_sequences + 1) or None, only used if return_varlen_states is True + dt_softplus: Whether to apply softplus to dt + Return: + out: (batch, seqlen, nheads, headdim) + """ + return MambaChunkScanCombinedFn.apply( + x, + dt, + A, + B, + C, + chunk_size, + D, + z, + dt_bias, + initial_states, + seq_idx, + cu_seqlens, + dt_softplus, + dt_limit, + return_final_states, + return_varlen_states, + ) + + +def mamba_chunk_scan( + x, dt, A, B, C, chunk_size, D=None, z=None, dt_bias=None, dt_softplus=False +): + """ + Argument: + x: (batch, seqlen, nheads, headdim) + dt: (batch, seqlen, nheads) + A: (nheads) + B: (batch, seqlen, ngroups, dstate) + C: (batch, seqlen, ngroups, dstate) + D: (nheads, headdim) or (nheads,) + z: (batch, seqlen, nheads, headdim) + dt_bias: (nheads,) + Return: + out: (batch, seqlen, nheads, headdim) + """ + batch, seqlen, nheads, headdim = x.shape + dstate = B.shape[-1] + if seqlen % chunk_size != 0: + dt = F.pad(dt, (0, 0, 0, chunk_size - seqlen % chunk_size)) + dt = rearrange(dt, "b (c l) h -> b h c l", l=chunk_size) + dt = dt.float() # We want high precision for this before cumsum + if dt_bias is not None: + dt = dt + rearrange(dt_bias, "h -> h 1 1") + if dt_softplus: + dt = F.softplus(dt) + dA = dt * rearrange(A, "h -> h 1 1") + dA = dt * rearrange(A, "h -> h 1 1") + dA_cumsum = torch.cumsum(dA, dim=-1) + # 1. Compute the state for each chunk + states = chunk_state(B, x, dt, dA_cumsum, states_in_fp32=True) + # 2. Pass the state to all the chunks by weighted cumsum. + states = rearrange( + state_passing( + rearrange(states, "... p n -> ... (p n)"), dA_cumsum[:, :, :, -1] + )[0], + "... (p n) -> ... p n", + n=dstate, + ) + # 3. Compute the output for each chunk + out = chunk_scan(B, C, x, dt, dA_cumsum, states, D=D, z=z) + return out + + +def ssd_chunk_scan_combined_ref( + x, dt, A, B, C, chunk_size, D=None, z=None, dt_bias=None, dt_softplus=False +): + """ + Argument: + x: (batch, seqlen, nheads, headdim) + dt: (batch, seqlen, nheads) + A: (nheads) + B: (batch, seqlen, ngroups, dstate) + C: (batch, seqlen, ngroups, dstate) + D: (nheads, headdim) or (nheads,) + z: (batch, seqlen, nheads, headdim) + dt_bias: (nheads,) + Return: + out: (batch, seqlen, nheads, headdim) + """ + batch, seqlen, nheads, headdim = x.shape + dstate = B.shape[-1] + if seqlen % chunk_size != 0: + dt = F.pad(dt, (0, 0, 0, chunk_size - seqlen % chunk_size)) + dt = rearrange(dt, "b (c l) h -> b h c l", l=chunk_size) + dt = dt.float() # We want high precision for this before cumsum + if dt_bias is not None: + dt = dt + rearrange(dt_bias, "h -> h 1 1") + if dt_softplus: + dt = F.softplus(dt) + dA = dt * rearrange(A, "h -> h 1 1") + dA_cumsum = torch.cumsum(dA, dim=-1) + # 1. Compute the state for each chunk + states = chunk_state_ref(B, x, dt, dA_cumsum) + states_dtype = states.dtype + if states.dtype not in [torch.float32, torch.float64]: + states = states.to(torch.float32) + # 2. Pass the state to all the chunks by weighted cumsum. + # state_passing_ref is much less numerically stable + states = rearrange( + state_passing_ref( + rearrange(states, "... p n -> ... (p n)"), dA_cumsum[:, :, :, -1] + )[0], + "... (p n) -> ... p n", + n=dstate, + ) + states = states.to(states_dtype) + # 3. Compute the output for each chunk + out = chunk_scan_ref(B, C, x, dt, dA_cumsum, states, D=D, z=z) + return out + + +def ssd_selective_scan( + x, + dt, + A, + B, + C, + D=None, + z=None, + dt_bias=None, + dt_softplus=False, + dt_limit=(0.0, float("inf")), +): + """ + Argument: + x: (batch, seqlen, nheads, headdim) + dt: (batch, seqlen, nheads) or (batch, seqlen, nheads, headdim) + A: (nheads) or (dim, dstate) + B: (batch, seqlen, ngroups, dstate) + C: (batch, seqlen, ngroups, dstate) + D: (nheads, headdim) or (nheads,) + z: (batch, seqlen, nheads, headdim) + dt_bias: (nheads,) or (nheads, headdim) + Return: + out: (batch, seqlen, nheads, headdim) + """ + from ..selective_scan_interface import selective_scan_fn + + batch, seqlen, nheads, headdim = x.shape + _, _, ngroups, dstate = B.shape + x = rearrange(x, "b l h p -> b (h p) l") + if dt.dim() == 3: + dt = repeat(dt, "b l h -> b l h p", p=headdim) + dt = rearrange(dt, "b l h p -> b (h p) l") + if A.dim() == 1: + A = repeat(A, "h -> (h p) n", p=headdim, n=dstate).to(dtype=torch.float32) + else: + A = A.to(dtype=torch.float32) + B = rearrange(B, "b l g n -> b g n l") + C = rearrange(C, "b l g n -> b g n l") + if D is not None: + if D.dim() == 2: + D = rearrange(D, "h p -> (h p)") + else: + D = repeat(D, "h -> (h p)", p=headdim) + if z is not None: + z = rearrange(z, "b l h p -> b (h p) l") + if dt_bias is not None: + if dt_bias.dim() == 1: + dt_bias = repeat(dt_bias, "h -> h p", p=headdim) + dt_bias = rearrange(dt_bias, "h p -> (h p)") + if dt_limit != (0.0, float("inf")): + if dt_bias is not None: + dt = dt + rearrange(dt_bias, "d -> d 1") + if dt_softplus: + dt = F.softplus(dt) + dt = dt.clamp(min=dt_limit[0], max=dt_limit[1]).to(x.dtype) + dt_bias = None + dt_softplus = None + out = selective_scan_fn( + x, dt, A, B, C, D=D, z=z, delta_bias=dt_bias, delta_softplus=dt_softplus + ) + return rearrange(out, "b (h p) l -> b l h p", p=headdim) + + +def mamba_conv1d_scan_ref( + xBC, + conv1d_weight, + conv1d_bias, + dt, + A, + chunk_size, + D=None, + z=None, + dt_bias=None, + dt_softplus=False, + dt_limit=(0.0, float("inf")), + activation="silu", + headdim=None, + ngroups=1, +): + """ + Argument: + xBC: (batch, seqlen, dim + 2 * ngroups * dstate) where dim == nheads * headdim + conv1d_weight: (dim + 2 * ngroups * dstate, width) + conv1d_bias: (dim + 2 * ngroups * dstate,) + dt: (batch, seqlen, nheads) or (batch, seqlen, nheads, headdim) + A: (nheads) + D: (nheads, headdim) or (nheads,) + z: (batch, seqlen, dim) + dt_bias: (nheads) or (nheads, headdim) + headdim: if D is 1D and z is None, headdim must be passed in + Return: + out: (batch, seqlen, dim) + """ + batch, seqlen, nheads = dt.shape[:3] + assert nheads % ngroups == 0 + if z is not None: + dim = z.shape[-1] + assert dim % nheads == 0 + headdim = dim // nheads + else: + if D.dim() == 1: + assert headdim is not None + else: + headdim = D.shape[1] + dim = nheads * headdim + xBC = rearrange( + causal_conv1d_fn( + rearrange(xBC, "b s d -> b d s"), + conv1d_weight, + conv1d_bias, + activation=activation, + ), + "b d s -> b s d", + ) + dstate = (xBC.shape[-1] - dim) // ngroups // 2 + x, B, C = torch.split(xBC, [dim, ngroups * dstate, ngroups * dstate], dim=-1) + x = rearrange(x, "b l (h p) -> b l h p", h=nheads) + B = rearrange(B, "b l (g n) -> b l g n", g=ngroups) + C = rearrange(C, "b l (g n) -> b l g n", g=ngroups) + z = rearrange(z, "b l (h p) -> b l h p", h=nheads) if z is not None else None + out = ssd_selective_scan( + x, + dt.to(x.dtype), + A, + B, + C, + D=D.float(), + z=z, + dt_bias=dt_bias, + dt_softplus=dt_softplus, + dt_limit=dt_limit, + ) + return rearrange(out, "b s h p -> b s (h p)") + + +class MambaSplitConv1dScanCombinedFn(torch.autograd.Function): + + @staticmethod + @custom_fwd + def forward( + ctx, + zxbcdt, + conv1d_weight, + conv1d_bias, + dt_bias, + A, + D, + chunk_size, + initial_states=None, + seq_idx=None, + dt_limit=(0.0, float("inf")), + return_final_states=False, + activation="silu", + rmsnorm_weight=None, + rmsnorm_eps=1e-6, + outproj_weight=None, + outproj_bias=None, + headdim=None, + ngroups=1, + norm_before_gate=True, + ): + assert activation in [None, "silu", "swish"] + if D.dim() == 1: + assert headdim is not None + (nheads,) = D.shape + else: + nheads, headdim = D.shape + batch, seqlen, _ = zxbcdt.shape + dim = nheads * headdim + assert nheads % ngroups == 0 + dstate = (conv1d_weight.shape[0] - dim) // ngroups // 2 + d_nonssm = (zxbcdt.shape[-1] - 2 * dim - 2 * ngroups * dstate - nheads) // 2 + assert d_nonssm >= 0 + assert zxbcdt.shape == ( + batch, + seqlen, + 2 * d_nonssm + 2 * dim + 2 * ngroups * dstate + nheads, + ) + assert dt_bias.shape == (nheads,) + assert A.shape == (nheads,) + zx0, z, xBC, dt = torch.split( + zxbcdt, [2 * d_nonssm, dim, dim + ngroups * dstate * 2, nheads], dim=-1 + ) + seq_idx = seq_idx.contiguous() if seq_idx is not None else None + xBC_conv = rearrange( + causal_conv1d_cuda.causal_conv1d_fwd( + rearrange(xBC, "b s d -> b d s"), + conv1d_weight, + conv1d_bias, + seq_idx, + None, + None, + activation in ["silu", "swish"], + ), + "b d s -> b s d", + ) + x, B, C = torch.split( + xBC_conv, [dim, ngroups * dstate, ngroups * dstate], dim=-1 + ) + x = rearrange(x, "b l (h p) -> b l h p", h=nheads) + B = rearrange(B, "b l (g n) -> b l g n", g=ngroups) + C = rearrange(C, "b l (g n) -> b l g n", g=ngroups) + z = rearrange(z, "b l (h p) -> b l h p", h=nheads) if z is not None else None + if rmsnorm_weight is None: + out, out_x, dt_out, dA_cumsum, states, final_states = ( + _mamba_chunk_scan_combined_fwd( + x, + dt, + A, + B, + C, + chunk_size=chunk_size, + D=D, + z=z, + dt_bias=dt_bias, + initial_states=initial_states, + seq_idx=seq_idx, + dt_softplus=True, + dt_limit=dt_limit, + ) + ) + out = rearrange(out, "b s h p -> b s (h p)") + rstd = None + if d_nonssm > 0: + out = torch.cat([_swiglu_fwd(zx0), out], dim=-1) + else: + out_x, _, dt_out, dA_cumsum, states, final_states = ( + _mamba_chunk_scan_combined_fwd( + x, + dt, + A, + B, + C, + chunk_size=chunk_size, + D=D, + z=None, + dt_bias=dt_bias, + initial_states=initial_states, + seq_idx=seq_idx, + dt_softplus=True, + dt_limit=dt_limit, + ) + ) + # reshape input data into 2D tensor + x_rms = rearrange(out_x, "b s h p -> (b s) (h p)") + z_rms = rearrange(z, "b s h p -> (b s) (h p)") + rmsnorm_weight = rmsnorm_weight.contiguous() + if d_nonssm == 0: + out = None + else: + out01 = torch.empty( + (batch, seqlen, d_nonssm + dim), + dtype=x_rms.dtype, + device=x_rms.device, + ) + out = rearrange(out01[..., d_nonssm:], "b s d -> (b s) d") + _swiglu_fwd(zx0, out=out01[..., :d_nonssm]) + out, _, rstd = _layer_norm_fwd( + x_rms, + rmsnorm_weight, + None, + rmsnorm_eps, + z_rms, + out=out, + group_size=dim // ngroups, + norm_before_gate=norm_before_gate, + is_rms_norm=True, + ) + if d_nonssm == 0: + out = rearrange(out, "(b s) d -> b s d", b=batch) + else: + out = out01 + ctx.outproj_weight_dtype = ( + outproj_weight.dtype if outproj_weight is not None else None + ) + if outproj_weight is not None: + if torch.is_autocast_enabled(): + dtype = torch.get_autocast_gpu_dtype() + out, outproj_weight = out.to(dtype), outproj_weight.to(dtype) + outproj_bias = ( + outproj_bias.to(dtype) if outproj_bias is not None else None + ) + out = F.linear(out, outproj_weight, outproj_bias) + else: + assert outproj_bias is None + ctx.save_for_backward( + zxbcdt, + conv1d_weight, + conv1d_bias, + out_x, + A, + D, + dt_bias, + initial_states, + seq_idx, + rmsnorm_weight, + rstd, + outproj_weight, + outproj_bias, + ) + ctx.dt_limit = dt_limit + ctx.return_final_states = return_final_states + ctx.activation = activation + ctx.rmsnorm_eps = rmsnorm_eps + ctx.norm_before_gate = norm_before_gate + ctx.chunk_size = chunk_size + ctx.headdim = headdim + ctx.ngroups = ngroups + return out if not return_final_states else (out, final_states) + + @staticmethod + @custom_bwd + def backward(ctx, dout, *args): + ( + zxbcdt, + conv1d_weight, + conv1d_bias, + out, + A, + D, + dt_bias, + initial_states, + seq_idx, + rmsnorm_weight, + rstd, + outproj_weight, + outproj_bias, + ) = ctx.saved_tensors + dfinal_states = args[0] if ctx.return_final_states else None + headdim = ctx.headdim + nheads = D.shape[0] + dim = nheads * headdim + assert nheads % ctx.ngroups == 0 + dstate = (conv1d_weight.shape[0] - dim) // ctx.ngroups // 2 + d_nonssm = (zxbcdt.shape[-1] - 2 * dim - 2 * ctx.ngroups * dstate - nheads) // 2 + assert d_nonssm >= 0 + recompute_output = outproj_weight is not None + if recompute_output: + out_recompute = torch.empty( + *out.shape[:2], d_nonssm + dim, device=out.device, dtype=out.dtype + ) + out0_recompute, out1_recompute = out_recompute.split( + [d_nonssm, dim], dim=-1 + ) + zx0, z, xBC, dt = torch.split( + zxbcdt, [2 * d_nonssm, dim, dim + 2 * ctx.ngroups * dstate, nheads], dim=-1 + ) + # Recompute x, B, C + xBC_conv = rearrange( + causal_conv1d_cuda.causal_conv1d_fwd( + rearrange(xBC, "b s d -> b d s"), + conv1d_weight, + conv1d_bias, + seq_idx, + None, + None, + ctx.activation in ["silu", "swish"], + ), + "b d s -> b s d", + ) + x, B, C = torch.split( + xBC_conv, [dim, ctx.ngroups * dstate, ctx.ngroups * dstate], dim=-1 + ) + x = rearrange(x, "b l (h p) -> b l h p", h=nheads) + B = rearrange(B, "b l (g n) -> b l g n", g=ctx.ngroups) + C = rearrange(C, "b l (g n) -> b l g n", g=ctx.ngroups) + dzxbcdt = torch.empty_like(zxbcdt) + dzx0, dz, dxBC_given, ddt_given = torch.split( + dzxbcdt, [2 * d_nonssm, dim, dim + 2 * ctx.ngroups * dstate, nheads], dim=-1 + ) + dxBC = torch.empty_like(xBC) + dx, dB, dC = torch.split( + dxBC, [dim, ctx.ngroups * dstate, ctx.ngroups * dstate], dim=-1 + ) + z = rearrange(z, "b l (h p) -> b l h p", h=nheads) + dx = rearrange(dx, "b l (h p) -> b l h p", h=nheads) + dB = rearrange(dB, "b l (g n) -> b l g n", g=ctx.ngroups) + dC = rearrange(dC, "b l (g n) -> b l g n", g=ctx.ngroups) + if outproj_weight is not None: + dout_og = dout + dout = F.linear(dout, outproj_weight.t()) + if d_nonssm > 0: + dout0, dout = dout.split([d_nonssm, dim], dim=-1) + _swiglu_bwd(zx0, dout0, dxy=dzx0, recompute_output=True, out=out0_recompute) + dout = rearrange(dout, "b s (h p) -> b s h p", p=headdim) + if rmsnorm_weight is None: + dz = rearrange(dz, "b l (h p) -> b l h p", h=nheads) + dx, ddt, dA, dB, dC, dD, dz, ddt_bias, dinitial_states, *rest = ( + _mamba_chunk_scan_combined_bwd( + dout, + x, + dt, + A, + B, + C, + out, + ctx.chunk_size, + D=D, + z=z, + dt_bias=dt_bias, + initial_states=initial_states, + dfinal_states=dfinal_states, + seq_idx=seq_idx, + dt_softplus=True, + dt_limit=ctx.dt_limit, + dx=dx, + ddt=ddt_given, + dB=dB, + dC=dC, + dz=dz, + recompute_output=recompute_output, + ) + ) + out_for_linear = ( + rearrange(rest[0], "b s h p -> b s (h p)") if recompute_output else None + ) + drmsnorm_weight = None + else: + batch = dout.shape[0] + dy_rms = rearrange(dout, "b s h p -> (b s) (h p)") + dz = rearrange(dz, "b l d -> (b l) d") + x_rms = rearrange(out, "b s h p -> (b s) (h p)") + z_rms = rearrange(z, "b s h p -> (b s) (h p)") + out1_recompute = ( + rearrange(out1_recompute, "b s d -> (b s) d") + if recompute_output + else None + ) + dout, drmsnorm_weight, _, dz, *rest = _layer_norm_bwd( + dy_rms, + x_rms, + rmsnorm_weight, + None, + ctx.rmsnorm_eps, + None, + rstd, + z_rms, + group_size=dim // ctx.ngroups, + norm_before_gate=ctx.norm_before_gate, + is_rms_norm=True, + recompute_output=recompute_output, + dz=dz, + out=out1_recompute if recompute_output else None, + ) + out_for_linear = out_recompute if recompute_output else None + dout = rearrange(dout, "(b s) (h p) -> b s h p", b=batch, p=headdim) + dx, ddt, dA, dB, dC, dD, _, ddt_bias, dinitial_states = ( + _mamba_chunk_scan_combined_bwd( + dout, + x, + dt, + A, + B, + C, + out, + ctx.chunk_size, + D=D, + z=None, + dt_bias=dt_bias, + initial_states=initial_states, + dfinal_states=dfinal_states, + seq_idx=seq_idx, + dt_softplus=True, + dt_limit=ctx.dt_limit, + dx=dx, + ddt=ddt_given, + dB=dB, + dC=dC, + ) + ) + + if outproj_weight is not None: + doutproj_weight = torch.einsum("bso,bsd->od", dout_og, out_for_linear) + doutproj_bias = ( + dout_og.sum(dim=(0, 1)) if outproj_bias is not None else None + ) + else: + doutproj_weight, doutproj_bias = None, None + dxBC_given = rearrange(dxBC_given, "b s d -> b d s") + dxBC_given, dweight, dbias, *_ = causal_conv1d_cuda.causal_conv1d_bwd( + rearrange(xBC, "b s d -> b d s"), + conv1d_weight, + conv1d_bias, + rearrange(dxBC, "b s d -> b d s"), + seq_idx, + None, + None, + dxBC_given, + False, + ctx.activation in ["silu", "swish"], + ) + dxBC_given = rearrange(dxBC_given, "b d s -> b s d") + return ( + dzxbcdt, + dweight, + dbias, + ddt_bias, + dA, + dD, + None, + dinitial_states, + None, + None, + None, + None, + drmsnorm_weight, + None, + doutproj_weight, + doutproj_bias, + None, + None, + None, + ) + + +def mamba_split_conv1d_scan_combined( + zxbcdt, + conv1d_weight, + conv1d_bias, + dt_bias, + A, + D, + chunk_size, + initial_states=None, + seq_idx=None, + dt_limit=(0.0, float("inf")), + return_final_states=False, + activation="silu", + rmsnorm_weight=None, + rmsnorm_eps=1e-6, + outproj_weight=None, + outproj_bias=None, + headdim=None, + ngroups=1, + norm_before_gate=True, +): + """ + Argument: + zxbcdt: (batch, seqlen, 2 * dim + 2 * ngroups * dstate + nheads) where dim == nheads * headdim + conv1d_weight: (dim + 2 * ngroups * dstate, width) + conv1d_bias: (dim + 2 * ngroups * dstate,) + dt_bias: (nheads,) + A: (nheads) + D: (nheads, headdim) or (nheads,) + initial_states: (batch, nheads, headdim, dstate) + seq_idx: (batch, seqlen), int32 + rmsnorm_weight: (dim,) + outproj_weight: (out_dim, dim) + outproj_bias: (out_dim,) + headdim: if D is 1D, headdim must be passed in + norm_before_gate: if True, we do RMSNorm(x) * F.silu(z). If False, we do RMSNorm(x * F.silu(z)) + Return: + out: (batch, seqlen, dim) + """ + return MambaSplitConv1dScanCombinedFn.apply( + zxbcdt, + conv1d_weight, + conv1d_bias, + dt_bias, + A, + D, + chunk_size, + initial_states, + seq_idx, + dt_limit, + return_final_states, + activation, + rmsnorm_weight, + rmsnorm_eps, + outproj_weight, + outproj_bias, + headdim, + ngroups, + norm_before_gate, + ) + + +def mamba_split_conv1d_scan_ref( + zxbcdt, + conv1d_weight, + conv1d_bias, + dt_bias, + A, + D, + chunk_size, + dt_limit=(0.0, float("inf")), + activation="silu", + rmsnorm_weight=None, + rmsnorm_eps=1e-6, + outproj_weight=None, + outproj_bias=None, + headdim=None, + ngroups=1, + norm_before_gate=True, +): + """ + Argument: + zxbcdt: (batch, seqlen, 2 * dim + 2 * ngroups * dstate + nheads) where dim == nheads * headdim + conv1d_weight: (dim + 2 * ngroups * dstate, width) + conv1d_bias: (dim + 2 * ngroups * dstate,) + dt_bias: (nheads,) + A: (nheads) + D: (nheads, headdim) or (nheads,) + rmsnorm_weight: (dim,) + outproj_weight: (out_dim, dim) + outproj_bias: (out_dim,) + headdim: if D is 1D, headdim must be passed in + norm_before_gate: if True, we do RMSNorm(x) * F.silu(z). If False, we do RMSNorm(x * F.silu(z)) + Return: + out: (batch, seqlen, dim) + """ + if D.dim() == 1: + assert headdim is not None + (nheads,) = D.shape + else: + nheads, headdim = D.shape + assert nheads % ngroups == 0 + batch, seqlen, _ = zxbcdt.shape + dim = nheads * headdim + dstate = (zxbcdt.shape[-1] - 2 * dim - nheads) // ngroups // 2 + assert zxbcdt.shape == (batch, seqlen, 2 * dim + 2 * ngroups * dstate + nheads) + assert dt_bias.shape == (nheads,) + assert A.shape == (nheads,) + if rmsnorm_weight is not None: + assert rmsnorm_weight.shape == (dim,) + z, xBC, dt = torch.split(zxbcdt, [dim, dim + 2 * ngroups * dstate, nheads], dim=-1) + xBC = rearrange( + causal_conv1d_fn( + rearrange(xBC, "b s d -> b d s"), + conv1d_weight, + conv1d_bias, + activation=activation, + ), + "b d s -> b s d", + ) + x, B, C = torch.split(xBC, [dim, ngroups * dstate, ngroups * dstate], dim=-1) + x = rearrange(x, "b l (h p) -> b l h p", h=nheads) + B = rearrange(B, "b l (g n) -> b l g n", g=ngroups) + C = rearrange(C, "b l (g n) -> b l g n", g=ngroups) + z = rearrange(z, "b l (h p) -> b l h p", h=nheads) + out = ssd_selective_scan( + x, + dt.to(x.dtype), + A, + B, + C, + D=D.float(), + z=z if rmsnorm_weight is None else None, + dt_bias=dt_bias, + dt_softplus=True, + dt_limit=dt_limit, + ) + out = rearrange(out, "b s h p -> b s (h p)") + if rmsnorm_weight is not None: + out = rmsnorm_fn( + out, + rmsnorm_weight, + None, + z=rearrange(z, "b l h p -> b l (h p)"), + eps=rmsnorm_eps, + norm_before_gate=norm_before_gate, + ) + if outproj_weight is not None: + out = F.linear(out, outproj_weight, outproj_bias) + return out diff --git a/torch-ext/mamba_ssm/ops/triton/ssd_state_passing.py b/torch-ext/mamba_ssm/ops/triton/ssd_state_passing.py new file mode 100644 index 0000000000000000000000000000000000000000..63863b8236e1c091741c9faeb6f4a41376fc5b42 --- /dev/null +++ b/torch-ext/mamba_ssm/ops/triton/ssd_state_passing.py @@ -0,0 +1,348 @@ +# Copyright (c) 2024, Tri Dao, Albert Gu. + +"""We want triton==2.1.0 or 2.2.0 for this +""" + +import math +import torch +import torch.nn.functional as F + +import triton +import triton.language as tl + +from einops import rearrange, repeat + + +@triton.autotune( + configs=[ + triton.Config({'BLOCK_SIZE': 64}), + triton.Config({'BLOCK_SIZE': 128}), + triton.Config({'BLOCK_SIZE': 256}), + triton.Config({'BLOCK_SIZE': 512}), + triton.Config({'BLOCK_SIZE': 1024}), + triton.Config({'BLOCK_SIZE': 2048}), + ], + key=['dim'], +) +@triton.jit +def _state_passing_fwd_kernel( + # Pointers to matrices + states_ptr, out_ptr, final_states_ptr, dA_cs_ptr, initstates_ptr, seq_idx_ptr, + # Matrix dimensions + dim, nchunks, seqlen, chunk_size, + # Strides + stride_states_batch, stride_states_chunk, stride_states_head, stride_states_dim, + stride_out_batch, stride_out_chunk, stride_out_head, stride_out_dim, + stride_final_states_batch, stride_final_states_head, stride_final_states_dim, + stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, + stride_initstates_batch, stride_initstates_head, stride_initstates_dim, + stride_seq_idx_batch, stride_seq_idx_seqlen, + # Meta-parameters + HAS_INITSTATES: tl.constexpr, + HAS_SEQ_IDX: tl.constexpr, + BLOCK_SIZE: tl.constexpr, +): + pid_b = tl.program_id(axis=1) + pid_h = tl.program_id(axis=2) + pid_m = tl.program_id(axis=0) + states_ptr += pid_b * stride_states_batch + pid_h * stride_states_head + dA_cs_ptr += pid_b * stride_dA_cs_batch + pid_h * stride_dA_cs_head + out_ptr += pid_b * stride_out_batch + pid_h * stride_out_head + final_states_ptr += pid_b * stride_final_states_batch + pid_h * stride_final_states_head + if HAS_INITSTATES: + initstates_ptr += pid_b * stride_initstates_batch + pid_h * stride_initstates_head + if HAS_SEQ_IDX: + seq_idx_ptr += pid_b * stride_seq_idx_batch + + offs_m = pid_m * BLOCK_SIZE + tl.arange(0, BLOCK_SIZE) + states_ptrs = states_ptr + offs_m * stride_states_dim + out_ptrs = out_ptr + offs_m * stride_out_dim + final_states_ptrs = final_states_ptr + offs_m * stride_final_states_dim + + if not HAS_INITSTATES: + states = tl.zeros((BLOCK_SIZE, ), dtype=tl.float32) + else: + initstates_ptrs = initstates_ptr + offs_m * stride_initstates_dim + states = tl.load(initstates_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32) + tl.store(out_ptrs, states, mask=offs_m < dim) + out_ptrs += stride_out_chunk + seq_idx = 0 + for c in range(nchunks): + new_states = tl.load(states_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32) + dA_cs = tl.load(dA_cs_ptr).to(tl.float32) + scale = tl.exp(dA_cs) + if HAS_SEQ_IDX: + seq_idx_new = tl.load(seq_idx_ptr + (min((c + 1) * chunk_size, seqlen) - 1) * stride_seq_idx_seqlen) + scale = tl.where(seq_idx_new == seq_idx, scale, 0.0) + seq_idx = seq_idx_new + states = scale * states + new_states + if c < nchunks - 1: + tl.store(out_ptrs, states, mask=offs_m < dim) + else: + tl.store(final_states_ptrs, states, mask=offs_m < dim) + states_ptrs += stride_states_chunk + dA_cs_ptr += stride_dA_cs_chunk + out_ptrs += stride_out_chunk + + +@triton.autotune( + configs=[ + triton.Config({'BLOCK_SIZE': 64}), + triton.Config({'BLOCK_SIZE': 128}), + triton.Config({'BLOCK_SIZE': 256}), + triton.Config({'BLOCK_SIZE': 512}), + triton.Config({'BLOCK_SIZE': 1024}), + triton.Config({'BLOCK_SIZE': 2048}), + ], + key=['dim'], +) +@triton.jit +def _state_passing_bwd_kernel( + # Pointers to matrices + dout_ptr, out_ptr, dA_cs_ptr, dfinal_states_ptr, seq_idx_ptr, + dstates_ptr, ddA_cs_ptr, dinitstates_ptr, states_converted_ptr, + # Matrix dimensions + dim, nchunks, seqlen, chunk_size, + # Strides + stride_dout_batch, stride_dout_chunk, stride_dout_head, stride_dout_dim, + stride_out_batch, stride_out_chunk, stride_out_head, stride_out_dim, + stride_dA_cs_batch, stride_dA_cs_chunk, stride_dA_cs_head, + stride_dfinal_states_batch, stride_dfinal_states_head, stride_dfinal_states_dim, + stride_seq_idx_batch, stride_seq_idx_seqlen, + stride_dstates_batch, stride_dstates_chunk, stride_dstates_head, stride_dstates_dim, + stride_ddA_cs_batch, stride_ddA_cs_chunk, stride_ddA_cs_head, + stride_dinitstates_batch, stride_dinitstates_head, stride_dinitstates_dim, + # Meta-parameters + CONVERT_STATES: tl.constexpr, + HAS_DFINAL_STATES: tl.constexpr, + HAS_DINITSTATES: tl.constexpr, + HAS_SEQ_IDX: tl.constexpr, + BLOCK_SIZE: tl.constexpr, +): + pid_b = tl.program_id(axis=1) + pid_h = tl.program_id(axis=2) + pid_m = tl.program_id(axis=0) + dstates_ptr += pid_b * stride_dstates_batch + pid_h * stride_dstates_head + (nchunks - 1) * stride_dstates_chunk + dA_cs_ptr += pid_b * stride_dA_cs_batch + pid_h * stride_dA_cs_head + (nchunks - 1) * stride_dA_cs_chunk + ddA_cs_ptr += pid_b * stride_ddA_cs_batch + pid_h * stride_ddA_cs_head + (nchunks - 1) * stride_ddA_cs_chunk + pid_m + out_ptr += pid_b * stride_out_batch + pid_h * stride_out_head + (nchunks - 1) * stride_out_chunk + dout_ptr += pid_b * stride_dout_batch + pid_h * stride_dout_head + (nchunks - 1) * stride_dout_chunk + if CONVERT_STATES: + states_converted_ptr += pid_b * stride_out_batch + pid_h * stride_out_head + (nchunks - 1) * stride_out_chunk + if HAS_DFINAL_STATES: + dfinal_states_ptr += pid_b * stride_dfinal_states_batch + pid_h * stride_dfinal_states_head + if HAS_DINITSTATES: + dinitstates_ptr += pid_b * stride_dinitstates_batch + pid_h * stride_dinitstates_head + if HAS_SEQ_IDX: + seq_idx_ptr += pid_b * stride_seq_idx_batch + + offs_m = pid_m * BLOCK_SIZE + tl.arange(0, BLOCK_SIZE) + dstates_ptrs = dstates_ptr + offs_m * stride_dstates_dim + out_ptrs = out_ptr + offs_m * stride_out_dim + dout_ptrs = dout_ptr + offs_m * stride_dout_dim + if CONVERT_STATES: + states_converted_ptrs = states_converted_ptr + offs_m * stride_out_dim + + if HAS_DFINAL_STATES: + dstates = tl.load(dfinal_states_ptr + offs_m * stride_dfinal_states_dim, mask=offs_m < dim, other=0.0).to(tl.float32) + else: + dstates = tl.zeros((BLOCK_SIZE, ), dtype=tl.float32) + tl.store(dstates_ptrs, dstates, mask=offs_m < dim) + if HAS_SEQ_IDX: + seq_idx = tl.load(seq_idx_ptr + (seqlen - 1) * stride_seq_idx_seqlen) + dstates_ptrs -= stride_dstates_chunk + for c in range(nchunks - 1): + dA_cs = tl.load(dA_cs_ptr).to(tl.float32) + scale = tl.exp(dA_cs) + if HAS_SEQ_IDX: + seq_idx_new = tl.load(seq_idx_ptr + (((nchunks - c - 1) * chunk_size - 1) * stride_seq_idx_seqlen)) + scale = tl.where(seq_idx_new == seq_idx, scale, 0.0) + seq_idx = seq_idx_new + out = tl.load(out_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32) + if CONVERT_STATES: + tl.store(states_converted_ptrs, out, mask=offs_m < dim) + ddA = tl.sum(out * dstates) * scale + tl.store(ddA_cs_ptr, ddA) + dout = tl.load(dout_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32) + dstates = scale * dstates + dout + tl.store(dstates_ptrs, dstates, mask=offs_m < dim) + dout_ptrs -= stride_dout_chunk + dstates_ptrs -= stride_dstates_chunk + dA_cs_ptr -= stride_dA_cs_chunk + ddA_cs_ptr -= stride_ddA_cs_chunk + out_ptrs -= stride_out_chunk + if CONVERT_STATES: + states_converted_ptrs -= stride_out_chunk + if CONVERT_STATES: + out = tl.load(out_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32) + tl.store(states_converted_ptrs, out, mask=offs_m < dim) + if not HAS_DINITSTATES: + tl.store(ddA_cs_ptr, 0.0) + else: + dA_cs = tl.load(dA_cs_ptr).to(tl.float32) + scale = tl.exp(dA_cs) + if HAS_SEQ_IDX: + scale = tl.where(seq_idx == 0, scale, 0.0) + out = tl.load(out_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32) + ddA = tl.sum(out * dstates) * scale + tl.store(ddA_cs_ptr, ddA) + dout = tl.load(dout_ptrs, mask=offs_m < dim, other=0.0).to(tl.float32) + dstates = scale * dstates + dout + tl.store(dinitstates_ptr + offs_m * stride_dinitstates_dim, dstates, mask=offs_m < dim) + + +def _state_passing_fwd(states, dA_chunk_cumsum, initial_states=None, seq_idx=None, chunk_size=None, + out_dtype=None): + batch, nchunks, nheads, dim = states.shape + assert dA_chunk_cumsum.shape == (batch, nheads, nchunks) + if initial_states is not None: + assert initial_states.shape == (batch, nheads, dim) + if seq_idx is not None: + assert chunk_size is not None + seqlen = seq_idx.shape[-1] + assert seq_idx.shape == (batch, seqlen) + out_dtype = states.dtype if out_dtype is None else out_dtype + out = torch.empty((batch, nchunks, nheads, dim), device=states.device, dtype=out_dtype) + final_states = torch.empty((batch, nheads, dim), device=states.device, dtype=torch.float32) + grid = lambda META: (triton.cdiv(dim, META['BLOCK_SIZE']), batch, nheads) + with torch.cuda.device(states.device.index): + _state_passing_fwd_kernel[grid]( + states, out, final_states, dA_chunk_cumsum, initial_states, seq_idx, + dim, nchunks, seqlen if seq_idx is not None else 0, chunk_size if seq_idx is not None else 0, + states.stride(0), states.stride(1), states.stride(2), states.stride(3), + out.stride(0), out.stride(1), out.stride(2), out.stride(3), + final_states.stride(0), final_states.stride(1), final_states.stride(2), + dA_chunk_cumsum.stride(0), dA_chunk_cumsum.stride(2), dA_chunk_cumsum.stride(1), + *((initial_states.stride(0), initial_states.stride(1), initial_states.stride(2)) + if initial_states is not None else (0, 0, 0)), + *((seq_idx.stride(0), seq_idx.stride(1)) if seq_idx is not None else (0, 0)), + HAS_INITSTATES=initial_states is not None, + HAS_SEQ_IDX=seq_idx is not None, + ) + return out, final_states + + +def _state_passing_bwd( + states, dA_chunk_cumsum, dout, dfinal_states=None, seq_idx=None, has_initial_states=None, + dstates_dtype=None, states_dtype=None, chunk_size=None +): + """ + states contains the initial_states at index 0. The final states are not included in states. + """ + batch, nchunks, nheads, dim = states.shape + assert dA_chunk_cumsum.shape == (batch, nheads, nchunks) + assert dout.shape == (batch, nchunks, nheads, dim) + if seq_idx is not None: + assert chunk_size is not None + seqlen = seq_idx.shape[-1] + assert seq_idx.shape == (batch, seqlen) + dstates = torch.empty_like(dout, dtype=dstates_dtype if dstates_dtype is not None else dout.dtype) + if states_dtype is not None and states_dtype != states.dtype: + states_converted = torch.empty_like(states, dtype=dstates_dtype if dstates_dtype is not None else dout.dtype) + assert states_converted.stride() == states.stride() + else: + states_converted = None + if has_initial_states: + dinitstates = torch.empty_like(dstates[:, 0]) + else: + dinitstates = None + if dfinal_states is not None: + assert dfinal_states.shape == (batch, nheads, dim) + BLOCK_SIZE_min = 64 + n_blocks = (dim + BLOCK_SIZE_min - 1) // BLOCK_SIZE_min + ddA_chunk_cumsum = torch.empty(batch, nheads, nchunks, n_blocks, + dtype=torch.float32, device=dA_chunk_cumsum.device) + grid = lambda META: (triton.cdiv(dim, META['BLOCK_SIZE']), batch, nheads) + with torch.cuda.device(dout.device.index): + _state_passing_bwd_kernel[grid]( + dout, states, dA_chunk_cumsum, dfinal_states, seq_idx, + dstates, ddA_chunk_cumsum, dinitstates, states_converted, + dim, nchunks, seqlen if seq_idx is not None else 0, chunk_size if seq_idx is not None else 0, + dout.stride(0), dout.stride(1), dout.stride(2), dout.stride(3), + states.stride(0), states.stride(1), states.stride(2), states.stride(3), + dA_chunk_cumsum.stride(0), dA_chunk_cumsum.stride(2), dA_chunk_cumsum.stride(1), + *((dfinal_states.stride(0), dfinal_states.stride(1), dfinal_states.stride(2)) + if dfinal_states is not None else (0, 0, 0)), + *((seq_idx.stride(0), seq_idx.stride(1)) if seq_idx is not None else (0, 0)), + dstates.stride(0), dstates.stride(1), dstates.stride(2), dstates.stride(3), + ddA_chunk_cumsum.stride(0), ddA_chunk_cumsum.stride(2), ddA_chunk_cumsum.stride(1), + *((dinitstates.stride(0), dinitstates.stride(1), dinitstates.stride(2)) + if dinitstates is not None else (0, 0, 0)), + CONVERT_STATES=states_converted is not None, + HAS_DFINAL_STATES=dfinal_states is not None, + HAS_DINITSTATES=dinitstates is not None, + HAS_SEQ_IDX=seq_idx is not None, + ) + BLOCK_SIZE_actual = _state_passing_bwd_kernel.best_config.kwargs["BLOCK_SIZE"] + n_valid_blocks = (dim + BLOCK_SIZE_actual - 1) // BLOCK_SIZE_actual + ddA_chunk_cumsum = ddA_chunk_cumsum[..., :n_valid_blocks].sum(dim=-1).to(dtype=dA_chunk_cumsum.dtype) + if states_dtype is not None and states_dtype == states.dtype: + states_converted = states + return (dstates, ddA_chunk_cumsum, dinitstates) if states_dtype is None else (dstates, ddA_chunk_cumsum, dinitstates, states_converted) + + +class StatePassingFn(torch.autograd.Function): + + @staticmethod + def forward(ctx, states, dA_chunk_cumsum, initial_states=None): + batch, nchunks, nheads, dim = states.shape + assert dA_chunk_cumsum.shape == (batch, nheads, nchunks) + if states.stride(-1) != 1: + states = states.contiguous() + out, final_states = _state_passing_fwd(states, dA_chunk_cumsum, initial_states) + ctx.save_for_backward(out, dA_chunk_cumsum) + ctx.has_initial_states = initial_states is not None + return out, final_states + + @staticmethod + def backward(ctx, dout, dfinal_states): + out, dA_chunk_cumsum = ctx.saved_tensors + batch, nchunks, nheads, dim = out.shape + assert dout.shape == (batch, nchunks, nheads, dim) + assert dA_chunk_cumsum.shape == (batch, nheads, nchunks) + assert dfinal_states.shape == (batch, nheads, dim) + if dout.stride(-1) != 1: + dout = dout.contiguous() + dstates, ddA_chunk_cumsum, dinitstates = _state_passing_bwd( + out, dA_chunk_cumsum, dout, dfinal_states=dfinal_states , has_initial_states=ctx.has_initial_states + ) + return dstates, ddA_chunk_cumsum, dinitstates + + +def state_passing(states, dA_chunk_cumsum, initial_states=None): + """ + Argument: + states: (batch, nchunks, nheads, dim) + dA_chunk_cumsum: (batch, nheads, nchunks) + initial_states: (batch, nheads, dim) + Return: + out: (batch, nchunks, nheads, dim) + final_states: (batch, nheads, dim) + """ + return StatePassingFn.apply(states, dA_chunk_cumsum, initial_states) + + +def state_passing_ref(states, dA_chunk_cumsum, initial_states=None): + """ + Argument: + states: (batch, nchunks, nheads, dim) + dA_chunk_cumsum: (batch, nheads, nchunks) + initial_states: (batch, nheads, dim) + Return: + out: (batch, nchunks, nheads, dim) + final_states: (batch, nheads, dim) + """ + if initial_states is None: + initial_states = torch.zeros_like(states[:, 0]) + states = torch.cat([rearrange(initial_states, "b h d -> b 1 h d"), states], dim=1) + dA_chunk_cumsum = F.pad(dA_chunk_cumsum, (1, 0)) + dA_chunk_cumsum = torch.cumsum(dA_chunk_cumsum, dim=-1) + nchunks = dA_chunk_cumsum.shape[-1] + # (batch, nheads, nchunks, nchunks) + dt_chunk_segment_sum = dA_chunk_cumsum[:, :, :, None] - dA_chunk_cumsum[:, :, None, :] + # (batch, nheads, nchunks, nchunks) + decay_chunk = torch.exp(dt_chunk_segment_sum) + causal_mask = torch.tril(torch.ones(nchunks, nchunks, device=states.device, dtype=bool), diagonal=0) + decay_chunk = decay_chunk.masked_fill(~causal_mask, 0) + out = torch.einsum("bhzc,bchd->bzhd", decay_chunk.to(dtype=states.dtype), states) + return out[:, :-1], out[:, -1] diff --git a/torch-ext/mamba_ssm/utils/__init__.py b/torch-ext/mamba_ssm/utils/__init__.py new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/torch-ext/mamba_ssm/utils/generation.py b/torch-ext/mamba_ssm/utils/generation.py new file mode 100644 index 0000000000000000000000000000000000000000..330672afe2f0021d09c8913fb42421996714a8d3 --- /dev/null +++ b/torch-ext/mamba_ssm/utils/generation.py @@ -0,0 +1,390 @@ +# Copyright (c) 2023, Albert Gu, Tri Dao. +import gc +import time +from collections import namedtuple +from dataclasses import dataclass, field +from functools import partial +from typing import Callable, Optional, Sequence, Union + +import torch +import torch.nn.functional as F +from einops import rearrange, repeat +from torch import Tensor +from torch.profiler import ProfilerActivity, profile, record_function +from transformers.generation import GreedySearchDecoderOnlyOutput, SampleDecoderOnlyOutput, TextStreamer + + +@dataclass +class InferenceParams: + """Inference parameters that are passed to the main model in order + to efficienly calculate and store the context during inference.""" + + max_seqlen: int + max_batch_size: int + seqlen_offset: int = 0 + batch_size_offset: int = 0 + key_value_memory_dict: dict = field(default_factory=dict) + lengths_per_sample: Optional[Tensor] = None + + def reset(self, max_seqlen, max_batch_size): + self.max_seqlen = max_seqlen + self.max_batch_size = max_batch_size + self.seqlen_offset = 0 + if self.lengths_per_sample is not None: + self.lengths_per_sample.zero_() + + +def modify_logits_for_min_p_filtering(logits, min_p): + """Set the logits for none min_p values to -inf. Done in-place.""" + if min_p <= 0.0 or min_p >= 1.0: + return + indices_to_remove = logits < min_p + logits.masked_fill_(indices_to_remove, float("-Inf")) +# https://github.com/NVIDIA/Megatron-LM/blob/0bb597b42c53355a567aba2a1357cc34b9d99ddd/megatron/text_generation/sampling.py +# https://github.com/huggingface/transformers/blob/a44985b41cfa2de48a5e1de7f1f93b7483da25d1/src/transformers/generation/logits_process.py#L231 +def modify_logits_for_top_k_filtering(logits, top_k): + """Set the logits for none top-k values to -inf. Done in-place.""" + indices_to_remove = logits < torch.topk(logits, top_k)[0][..., -1, None] + logits.masked_fill_(indices_to_remove, float("-Inf")) + + +# https://github.com/NVIDIA/Megatron-LM/blob/0bb597b42c53355a567aba2a1357cc34b9d99ddd/megatron/text_generation/sampling.py +# https://github.com/huggingface/transformers/blob/a44985b41cfa2de48a5e1de7f1f93b7483da25d1/src/transformers/generation/logits_process.py#L170 +def modify_logits_for_top_p_filtering(logits, top_p): + """Set the logits for none top-p values to -inf. Done in-place.""" + if top_p <= 0.0 or top_p >= 1.0: + return + # First sort and calculate cumulative sum of probabilities. + sorted_logits, sorted_indices = torch.sort(logits, descending=False) + cumulative_probs = sorted_logits.softmax(dim=-1).cumsum(dim=-1) + # Remove tokens with cumulative top_p above the threshold (token with 0 are kept) + sorted_indices_to_remove = cumulative_probs <= (1 - top_p) + # scatter sorted tensors to original indexing + indices_to_remove = sorted_indices_to_remove.scatter( + 1, sorted_indices, sorted_indices_to_remove + ) + logits.masked_fill_(indices_to_remove, float("-inf")) + + +def modify_logit_for_repetition_penalty(logits, prev_output_tokens, repetition_penalty=1.0): + """Apply repetition penalty. See https://arxiv.org/abs/1909.05858 + logits: (batch_size, vocab_size) + prev_output_tokens: (batch_size, seq_len) + """ + if repetition_penalty == 1.0: + return logits + score = torch.gather(logits, 1, prev_output_tokens) + # if score < 0 then repetition penalty has to be multiplied to reduce the previous token probability + score = torch.where(score < 0, score * repetition_penalty, score / repetition_penalty) + logits.scatter_(1, prev_output_tokens, score) + return logits + + +def sample(logits, top_k=1, top_p=0.0, min_p=0.0, temperature=1.0): + """Sample from top-k logits. + Arguments: + logits: Tensor of shape (batch_size, vocab_size) + """ + if top_k == 1: # Short-circuit for greedy decoding + return logits.argmax(dim=-1) + else: + if top_p > 0.0: + assert top_p <= 1.0, "top-p should be in (0, 1]." + if top_k > 0: + top_k = min(top_k, logits.size(-1)) # Safety check + logits_top, indices = torch.topk(logits, top_k, dim=-1) + if temperature != 1.0: + logits_top /= temperature + modify_logits_for_top_p_filtering(logits_top, top_p) + return indices[ + torch.arange(indices.shape[0], device=indices.device), + torch.multinomial(torch.softmax(logits_top, dim=-1), num_samples=1).squeeze(dim=-1), + ] + else: + if min_p > 0.0: + logits_top = logits.clone() + max_prob = logits_top[..., 0].item() + min_prob = max_prob * min_p + modify_logits_for_min_p_filtering(logits_top, min_prob) + if temperature != 1.0: + logits_top /= temperature + return torch.multinomial(torch.softmax(logits_top, dim=-1), num_samples=1).squeeze(dim=-1) + # Clone so that when we modify for top_p we don't change the original logits + logits_top = logits / temperature if temperature != 1.0 else logits.clone() + modify_logits_for_top_p_filtering(logits_top, top_p) + return torch.multinomial(torch.softmax(logits_top, dim=-1), num_samples=1).squeeze( + dim=-1 + ) + + +@torch.inference_mode() +def decode( + input_ids, + model, + max_length, + top_k=1, + top_p=0.0, + min_p=0.0, + temperature=1.0, + repetition_penalty=1.0, + eos_token_id=None, + teacher_outputs=None, + vocab_size=None, + cg=False, + enable_timing=False, + output_scores=False, + streamer: Optional[TextStreamer] = None +): + """Decoding, either greedy or with top-k or top-p sampling. + If top-k = 0, don't limit the number of candidates (pure sampling). + Top-k and top-p can be used together. If top_k > 0 and top_p > 0, then top-k is applied first, + then top-p. + We assume that all sequences in the same batch have the same length. + + Arguments: + input_ids: (batch, seq_len) + max_length: int + teacher_outputs (optional): (batch, seq_len). If provided, instead of sampling from the + logits, the next token is taken from the teacher_outputs. Useful for testing. + Returns: GreedySearchDecoderOnlyOutput or SampleDecoderOnlyOutput, with the following fields: + sequences: (batch, max_length) + scores: tuples of (batch, vocab_size) + """ + if streamer is not None: + streamer.put(input_ids.cpu()) + + batch_size, seqlen_og = input_ids.shape + teacher_output_len = teacher_outputs.shape[1] if teacher_outputs is not None else 0 + if cg: + if not hasattr(model, "_decoding_cache"): + model._decoding_cache = None + model._decoding_cache = update_graph_cache( + model, + model._decoding_cache, + batch_size, + seqlen_og, + max_length, + ) + inference_params = model._decoding_cache.inference_params + inference_params.reset(max_length, batch_size) + else: + inference_params = InferenceParams(max_seqlen=max_length, max_batch_size=batch_size) + + def get_logits(input_ids, inference_params): + decoding = inference_params.seqlen_offset > 0 + if decoding: + position_ids = torch.full( + (batch_size, 1), + inference_params.seqlen_offset, + dtype=torch.long, + device=input_ids.device, + ) + else: + position_ids = None + if not cg or not decoding: + logits = model( + input_ids, + position_ids=position_ids, + inference_params=inference_params, + num_last_tokens=1, + ).logits.squeeze(dim=1) + else: + logits = model._decoding_cache.run( + input_ids, position_ids, inference_params.seqlen_offset + ).squeeze(dim=1) + return logits[..., :vocab_size] if vocab_size is not None else logits + + def sample_tokens(logits, inference_params): + if teacher_outputs is None or teacher_output_len <= inference_params.seqlen_offset: + token = sample(logits, top_k=top_k, top_p=top_p, min_p=min_p, temperature=temperature) + else: + token = teacher_outputs[:, inference_params.seqlen_offset] + # return rearrange(token, "b -> b 1") + return token.unsqueeze(1) + + def should_stop(current_token, inference_params): + if inference_params.seqlen_offset == 0: + return False + if eos_token_id is not None and (current_token == eos_token_id).all(): + return True + if inference_params.seqlen_offset >= max_length - 1: + return True + return False + + start = torch.cuda.Event(enable_timing=enable_timing) + end = torch.cuda.Event(enable_timing=enable_timing) + + if enable_timing: + start.record() + scores, sequences = [], [input_ids] + sequences_cat = input_ids + while not should_stop(sequences[-1], inference_params): + logits = get_logits(sequences[-1], inference_params) + if output_scores: + scores.append(logits.clone()) + inference_params.seqlen_offset += sequences[-1].shape[1] + if repetition_penalty == 1.0: + sampled_tokens = sample_tokens(logits, inference_params) + else: + logits = modify_logit_for_repetition_penalty( + logits, sequences_cat, repetition_penalty + ) + sampled_tokens = sample_tokens(logits, inference_params) + sequences_cat = torch.cat([sequences_cat, sampled_tokens], dim=1) + sequences.append(sampled_tokens) + if streamer is not None: + streamer.put(sampled_tokens.cpu()) + if streamer is not None: + streamer.end() + if enable_timing: + end.record() + torch.cuda.synchronize() + print(f"Prompt processing + decoding time: {(start.elapsed_time(end)):.0f}ms") + output_cls = GreedySearchDecoderOnlyOutput if top_k == 1 else SampleDecoderOnlyOutput + return output_cls(sequences=torch.cat(sequences, dim=1), scores=tuple(scores)) + + +class GenerationMixin: + def allocate_inference_cache(self, batch_size, max_seqlen, dtype=None, **kwargs): + raise NotImplementedError + + def generate( + self, + input_ids, + max_length, + top_k=1, + top_p=0.0, + min_p=0.0, + temperature=1.0, + return_dict_in_generate=False, + output_scores=False, + **kwargs, + ): + output = decode( + input_ids, self, max_length, top_k=top_k, top_p=top_p, min_p = min_p, temperature=temperature, output_scores=output_scores, **kwargs + ) + if not output_scores: + output.scores = None + return output if return_dict_in_generate else output.sequences + + +@dataclass +class DecodingCGCache: + max_batch_size: int = 0 + max_seqlen: int = 0 + device = None + dtype = None + callables: dict = field(default_factory=dict) + mempool = None + inference_params: Optional[InferenceParams] = None + run: Optional[Callable] = None + + +@torch.inference_mode() +def update_graph_cache( + model, + cache, + batch_size, + seqlen_og, + max_seqlen, + decoding_seqlens=(1,), + dtype=None, + n_warmups=2, +): + if cache is None: + cache = DecodingCGCache() + param_example = next(iter(model.parameters())) + device = param_example.device + if dtype is None: + dtype = param_example.dtype + if ( + (device, dtype) != (cache.device, cache.dtype) + or batch_size > cache.max_batch_size + or max_seqlen > cache.max_seqlen + ): # Invalidate the cache + cache.callables = {} + cache.mempool = None + cache.inference_params = None + gc.collect() + cache.device, cache.dtype = device, dtype + cache.max_batch_size, cache.max_seqlen = batch_size, max_seqlen + assert hasattr(model, "allocate_inference_cache"), "CUDA graph decoding requires that the model has a method allocate_inference_cache" + inf_cache = model.allocate_inference_cache(batch_size, max_seqlen, dtype) + lengths_per_sample = torch.full((batch_size,), seqlen_og, dtype=torch.int32, device=device) + cache.inference_params = InferenceParams( + max_seqlen=max_seqlen, + max_batch_size=batch_size, + seqlen_offset=seqlen_og, + key_value_memory_dict=inf_cache, + lengths_per_sample=lengths_per_sample, + ) + cache.mempool = torch.cuda.graphs.graph_pool_handle() + for decoding_seqlen in decoding_seqlens: + if (batch_size, decoding_seqlen) not in cache.callables: + cache.callables[batch_size, decoding_seqlen] = capture_graph( + model, + cache.inference_params, + batch_size, + max_seqlen, + decoding_seqlen=decoding_seqlen, + mempool=cache.mempool, + n_warmups=n_warmups, + ) + + def dispatch(input_ids, position_ids, seqlen): + batch_size, decoding_seqlen = input_ids.shape[:2] + return cache.callables[batch_size, decoding_seqlen](input_ids, position_ids, seqlen) + + cache.run = dispatch + cache.inference_params.seqlen_offset = 0 # Reset so it's not confusing + return cache + + +def capture_graph( + model, inference_params, batch_size, max_seqlen, decoding_seqlen=1, mempool=None, n_warmups=2 +): + device = next(iter(model.parameters())).device + input_ids = torch.full((batch_size, decoding_seqlen), 0, dtype=torch.long, device=device) + position_ids = torch.full((batch_size, decoding_seqlen), 0, dtype=torch.long, device=device) + seqlen_offset_og = inference_params.seqlen_offset + inference_params.seqlen_offset = max_seqlen - decoding_seqlen + inference_params.lengths_per_sample[:] = inference_params.seqlen_offset + + # Warmup before capture + s = torch.cuda.Stream() + s.wait_stream(torch.cuda.current_stream()) + with torch.cuda.stream(s): + for _ in range(n_warmups): + logits = model( + input_ids, + position_ids=position_ids, + inference_params=inference_params, + num_last_tokens=decoding_seqlen, + ).logits + s.synchronize() + # This might be needed for correctness if we run with NCCL_GRAPH_MIXING_SUPPORT=0, + # which requires that graph launch and non-captured launch to not overlap (I think, + # that's how I interpret the documentation). I'm not sure if this is required. + if torch.distributed.is_initialized(): + torch.distributed.barrier() + torch.cuda.current_stream().wait_stream(s) + # Captures the graph + # To allow capture, automatically sets a side stream as the current stream in the context + graph = torch.cuda.CUDAGraph() + with torch.cuda.graph(graph, pool=mempool): + logits = model( + input_ids, + position_ids=position_ids, + inference_params=inference_params, + num_last_tokens=decoding_seqlen, + ).logits + + def run(new_input_ids, new_position_ids, seqlen): + inference_params.lengths_per_sample[:] = seqlen + input_ids.copy_(new_input_ids) + position_ids.copy_(new_position_ids) + graph.replay() + return logits.clone() + + inference_params.seqlen_offset = seqlen_offset_og + return run diff --git a/torch-ext/mamba_ssm/utils/hf.py b/torch-ext/mamba_ssm/utils/hf.py new file mode 100644 index 0000000000000000000000000000000000000000..0d7555acddbd260636d1d14d5bd6324f6af0056a --- /dev/null +++ b/torch-ext/mamba_ssm/utils/hf.py @@ -0,0 +1,23 @@ +import json + +import torch + +from transformers.utils import WEIGHTS_NAME, CONFIG_NAME +from transformers.utils.hub import cached_file + + +def load_config_hf(model_name): + resolved_archive_file = cached_file(model_name, CONFIG_NAME, _raise_exceptions_for_missing_entries=False) + return json.load(open(resolved_archive_file)) + + +def load_state_dict_hf(model_name, device=None, dtype=None): + # If not fp32, then we don't want to load directly to the GPU + mapped_device = "cpu" if dtype not in [torch.float32, None] else device + resolved_archive_file = cached_file(model_name, WEIGHTS_NAME, _raise_exceptions_for_missing_entries=False) + return torch.load(resolved_archive_file, map_location=mapped_device) + # Convert dtype before moving to GPU to save memory + if dtype is not None: + state_dict = {k: v.to(dtype=dtype) for k, v in state_dict.items()} + state_dict = {k: v.to(device=device) for k, v in state_dict.items()} + return state_dict diff --git a/torch-ext/mamba_ssm/utils/torch.py b/torch-ext/mamba_ssm/utils/torch.py new file mode 100644 index 0000000000000000000000000000000000000000..37df47c8e96cd730b9fbdbe152a55327b09d2f9d --- /dev/null +++ b/torch-ext/mamba_ssm/utils/torch.py @@ -0,0 +1,21 @@ +import torch +from functools import partial +from typing import Callable + +def custom_amp_decorator(dec: Callable, cuda_amp_deprecated: bool): + def decorator(*args, **kwargs): + if cuda_amp_deprecated: + kwargs["device_type"] = "cuda" + return dec(*args, **kwargs) + return decorator + + +if hasattr(torch.amp, "custom_fwd"): # type: ignore[attr-defined] + deprecated = True + from torch.amp import custom_fwd, custom_bwd # type: ignore[attr-defined] +else: + deprecated = False + from torch.cuda.amp import custom_fwd, custom_bwd + +custom_fwd = custom_amp_decorator(custom_fwd, deprecated) +custom_bwd = custom_amp_decorator(custom_bwd, deprecated) diff --git a/torch-ext/registration.h b/torch-ext/registration.h new file mode 100644 index 0000000000000000000000000000000000000000..4d0ce1c572c1c1ea947db0720ace5e7abe2a5624 --- /dev/null +++ b/torch-ext/registration.h @@ -0,0 +1,27 @@ +#pragma once + +#include + +#define _CONCAT(A, B) A##B +#define CONCAT(A, B) _CONCAT(A, B) + +#define _STRINGIFY(A) #A +#define STRINGIFY(A) _STRINGIFY(A) + +// A version of the TORCH_LIBRARY macro that expands the NAME, i.e. so NAME +// could be a macro instead of a literal token. +#define TORCH_LIBRARY_EXPAND(NAME, MODULE) TORCH_LIBRARY(NAME, MODULE) + +// A version of the TORCH_LIBRARY_IMPL macro that expands the NAME, i.e. so NAME +// could be a macro instead of a literal token. +#define TORCH_LIBRARY_IMPL_EXPAND(NAME, DEVICE, MODULE) \ + TORCH_LIBRARY_IMPL(NAME, DEVICE, MODULE) + +// REGISTER_EXTENSION allows the shared library to be loaded and initialized +// via python's import statement. +#define REGISTER_EXTENSION(NAME) \ + PyMODINIT_FUNC CONCAT(PyInit_, NAME)() { \ + static struct PyModuleDef module = {PyModuleDef_HEAD_INIT, \ + STRINGIFY(NAME), nullptr, 0, nullptr}; \ + return PyModule_Create(&module); \ + } diff --git a/torch-ext/torch_binding.cpp b/torch-ext/torch_binding.cpp new file mode 100644 index 0000000000000000000000000000000000000000..04da665c2893478f0a72fad759c89e53e644bbb2 --- /dev/null +++ b/torch-ext/torch_binding.cpp @@ -0,0 +1,19 @@ +#include + +#include "registration.h" +#include "torch_binding.h" + +TORCH_LIBRARY_EXPAND(TORCH_EXTENSION_NAME, ops) { + ops.def("selective_scan_fwd(Tensor u, Tensor delta, Tensor A, Tensor B," + "Tensor C, Tensor? D_, Tensor? z_, Tensor? delta_bias_," + "bool delta_softplus) -> Tensor[]"); + ops.impl("selective_scan_fwd", torch::kCUDA, &selective_scan_fwd); + + ops.def("selective_scan_bwd(Tensor u, Tensor delta, Tensor A, Tensor B," + "Tensor C, Tensor? D_, Tensor? z_, Tensor? delta_bias_," + "Tensor dout, Tensor? x_, Tensor? out_, Tensor!? dz_," + "bool delta_softplus, bool recompute_out_z) -> Tensor[]"); + ops.impl("selective_scan_bwd", torch::kCUDA, &selective_scan_bwd); +} + +REGISTER_EXTENSION(TORCH_EXTENSION_NAME) diff --git a/torch-ext/torch_binding.h b/torch-ext/torch_binding.h new file mode 100644 index 0000000000000000000000000000000000000000..44e741735251f95b4a5fc30831c82bd49d07d4d8 --- /dev/null +++ b/torch-ext/torch_binding.h @@ -0,0 +1,24 @@ +#pragma once + +#include + +std::vector +selective_scan_fwd(const at::Tensor &u, const at::Tensor &delta, + const at::Tensor &A, const at::Tensor &B, const at::Tensor &C, + const c10::optional &D_, + const c10::optional &z_, + const c10::optional &delta_bias_, + bool delta_softplus); + +std::vector +selective_scan_bwd(const at::Tensor &u, const at::Tensor &delta, + const at::Tensor &A, const at::Tensor &B, const at::Tensor &C, + const c10::optional &D_, + const c10::optional &z_, + const c10::optional &delta_bias_, + const at::Tensor &dout, + const c10::optional &x_, + const c10::optional &out_, + c10::optional dz_, + bool delta_softplus, + bool recompute_out_z);