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apex-master/csrc/megatron/scaled_upper_triang_masked_softmax.h

@@ -0,0 +1,538 @@
+/* coding=utf-8
+ * Copyright (c) 2021, NVIDIA CORPORATION.  All rights reserved.
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#pragma once
+
+#include <assert.h>
+#include <cuda_fp16.h>
+#include <cfloat>
+#include <limits>
+#include <stdint.h>
+#include <c10/macros/Macros.h>
+
+namespace {
+
+template <typename Datatype, int ELEMENTS_PER_LDG>
+__device__ __inline__ void copy_vector(Datatype *dst, const Datatype *src);
+
+template <>
+__device__ __inline__ void copy_vector<c10::BFloat16, 1>(c10::BFloat16 *dst, const c10::BFloat16 *src) { *dst = *src; }
+
+template <>
+__device__ __inline__ void copy_vector<c10::BFloat16, 4>(c10::BFloat16 *dst, const c10::BFloat16 *src) { *((float2*) dst) = *((float2*) src); }
+  
+template <>
+__device__ __inline__ void copy_vector<c10::Half, 1>(c10::Half *dst, const c10::Half *src) { *dst = *src; }
+
+template <>
+__device__ __inline__ void copy_vector<c10::Half, 4>(c10::Half *dst, const c10::Half *src) { *((float2*) dst) = *((float2*) src); }
+
+template <>
+__device__ __inline__ void copy_vector<uint8_t, 1>(uint8_t *dst, const uint8_t *src) { *dst = *src; }
+
+template <>
+__device__ __inline__ void copy_vector<uint8_t, 4>(uint8_t *dst, const uint8_t *src) {*((half2*) dst) = *((half2*) src); }
+
+template <typename Datatype, int ELEMENTS_PER_LDG>
+__device__ __inline__ void copy_zero_vector(Datatype *dst);
+
+template <>
+__device__ __inline__ void copy_zero_vector<c10::BFloat16, 1>(c10::BFloat16 *dst) { *dst = 0.0; }
+
+template <>
+__device__ __inline__ void copy_zero_vector<c10::BFloat16, 4>(c10::BFloat16 *dst) { *((float2*) dst) = make_float2(0.0f, 0.0f); }
+
+template <>
+__device__ __inline__ void copy_zero_vector<c10::Half, 1>(c10::Half *dst) { *dst = 0.0; }
+
+template <>
+__device__ __inline__ void copy_zero_vector<c10::Half, 4>(c10::Half *dst) { *((float2*) dst) = make_float2(0.0f, 0.0f); }
+
+
+int log2_ceil(int value) {
+    int log2_value = 0;
+    while ((1 << log2_value) < value) ++log2_value;
+    return log2_value;
+}
+
+template<typename T>
+struct Add {
+  __device__ __forceinline__ T operator()(T a, T b) const {
+    return a + b;
+  }
+};
+
+template<typename T>
+struct Max {
+  __device__ __forceinline__ T operator()(T a, T b) const {
+    return a < b ? b : a;
+  }
+};
+
+template <typename T>
+__device__ __forceinline__ T WARP_SHFL_XOR_NATIVE(T value, int laneMask, int width = warpSize, unsigned int mask = 0xffffffff)
+{
+#if CUDA_VERSION >= 9000
+    return __shfl_xor_sync(mask, value, laneMask, width);
+#else
+    return __shfl_xor(value, laneMask, width);
+#endif
+}
+
+template <typename acc_t, int WARP_BATCH, int WARP_SIZE, template<typename> class ReduceOp>
+__device__ __forceinline__ void warp_reduce(acc_t* sum) {
+    ReduceOp<acc_t> r;
+    #pragma unroll
+    for (int offset = WARP_SIZE / 2; offset > 0; offset /= 2) {
+        #pragma unroll
+        for (int i = 0;  i < WARP_BATCH;  ++i) {
+            acc_t b = WARP_SHFL_XOR_NATIVE(sum[i], offset, WARP_SIZE);
+            sum[i] = r(sum[i], b);
+        }
+    }
+}
+
+/*
+ * Extended softmax (from native aten pytorch) with following additional features
+ * 1) input scaling
+ * 2) Implicit time (diagonal masking)
+ */
+template <typename input_t, typename output_t, typename acc_t, int log2_elements>
+__global__ void scaled_upper_triang_masked_softmax_warp_forward(
+    output_t *dst, 
+    const input_t *src, 
+    const acc_t scale, 
+    int micro_batch_size, 
+    int stride, 
+    int element_count) 
+{
+    // WARP_SIZE and WARP_BATCH must match the return values batches_per_warp and 
+    // warp_size of method warp_softmax_forward_kernel.
+    constexpr int next_power_of_two = 1 << log2_elements;
+    constexpr int WARP_SIZE = (next_power_of_two < C10_WARP_SIZE) ? next_power_of_two : C10_WARP_SIZE;
+    constexpr int WARP_ITERATIONS = next_power_of_two / WARP_SIZE;
+    constexpr int WARP_BATCH = (next_power_of_two <= 128) ? 2 : 1;
+    constexpr int ELEMENTS_PER_LDG_STG = (WARP_ITERATIONS < 4) ? 1 : 4;
+
+    long int first_batch = (blockDim.y * blockIdx.y + threadIdx.y) * gridDim.x * WARP_BATCH + blockIdx.x;
+    int local_seq = blockIdx.x + 1; 
+    int warp_iteration_limit = (local_seq + ELEMENTS_PER_LDG_STG * WARP_SIZE - 1)/ WARP_SIZE;
+
+    // micro_batch_size might not be a multiple of WARP_BATCH. Check how
+    // many batches have to computed within this WARP.
+    int local_batches = micro_batch_size - first_batch;
+    if (local_batches > WARP_BATCH)
+        local_batches = WARP_BATCH;
+
+    // there might be multiple batches per warp. compute the index within the batch
+    int local_idx = threadIdx.x;
+
+    long int thread_offset = first_batch * stride + ELEMENTS_PER_LDG_STG * local_idx;
+    src += thread_offset;
+    dst += thread_offset;
+
+    // load data from global memory
+    acc_t elements[WARP_BATCH][WARP_ITERATIONS];
+    input_t temp_data[ELEMENTS_PER_LDG_STG];
+    #pragma unroll
+    for (int i = 0;  i < WARP_BATCH;  ++i) {
+        int batch_element_count = (i >= local_batches) ? 0 : local_seq;
+
+        #pragma unroll
+        for (int it = 0;  it < WARP_ITERATIONS;  it+=ELEMENTS_PER_LDG_STG) {
+            int element_index = ELEMENTS_PER_LDG_STG * local_idx + it * WARP_SIZE;
+
+            if (element_index < batch_element_count) {
+                copy_vector<input_t, ELEMENTS_PER_LDG_STG>(temp_data, src + i*element_count*stride + it*WARP_SIZE);
+
+                #pragma unroll
+                for (int element = 0; element < ELEMENTS_PER_LDG_STG; ++element) {
+                    if ((element_index + element) < batch_element_count) {
+                        elements[i][it+element] = (acc_t)temp_data[element] * scale;
+                    } else {
+                        elements[i][it + element] = -std::numeric_limits<acc_t>::infinity();
+                    }
+                }
+            } else {
+                #pragma unroll
+                for (int element = 0; element < ELEMENTS_PER_LDG_STG; ++element) {
+                    elements[i][it + element] = -std::numeric_limits<acc_t>::infinity();
+                }
+            }
+        }
+    }
+
+    // compute max_value
+    acc_t max_value[WARP_BATCH];
+    #pragma unroll
+    for (int i = 0;  i < WARP_BATCH;  ++i) {
+        max_value[i] = elements[i][0];
+        #pragma unroll
+        for (int it = 1;  it < WARP_ITERATIONS;  ++it) {
+            max_value[i] = (max_value[i] > elements[i][it]) ? max_value[i] : elements[i][it];
+        }
+    }
+    warp_reduce<acc_t, WARP_BATCH, WARP_SIZE, Max>(max_value);
+
+    acc_t sum[WARP_BATCH] { 0.0f };
+    #pragma unroll
+    for (int i = 0;  i < WARP_BATCH;  ++i) {
+        #pragma unroll
+        for (int it = 0;  it < WARP_ITERATIONS;  ++it) {
+            if (it < warp_iteration_limit) {
+                elements[i][it] = std::exp((elements[i][it] - max_value[i]));
+                sum[i] += elements[i][it];
+            } 
+        }
+    }
+    warp_reduce<acc_t, WARP_BATCH, WARP_SIZE, Add>(sum);
+
+    // store result
+    output_t out[ELEMENTS_PER_LDG_STG];
+    #pragma unroll
+    for (int i = 0;  i < WARP_BATCH;  ++i) {
+        if (i >= local_batches)
+            break;
+        #pragma unroll
+        for (int it = 0;  it < WARP_ITERATIONS;  it+=ELEMENTS_PER_LDG_STG) {
+            int element_index = ELEMENTS_PER_LDG_STG * local_idx + it * WARP_SIZE;
+
+            if (element_index < local_seq) {
+
+                #pragma unroll  
+                for (int element = 0; element < ELEMENTS_PER_LDG_STG; ++element) {
+                    if (element_index + element < local_seq) {
+                        out[element] = elements[i][it + element] / sum[i];
+                    } else {
+                        out[element] = 0;
+                    }
+                }
+                copy_vector<output_t, ELEMENTS_PER_LDG_STG>(dst + i * element_count * stride + it * WARP_SIZE, out);
+            } else if (element_index < element_count) {
+                copy_zero_vector<output_t, ELEMENTS_PER_LDG_STG>(dst + i * element_count * stride + it * WARP_SIZE);
+            } else {
+                break;
+            } 
+        }
+    }
+}
+
+template <typename input_t, typename output_t, typename acc_t, int log2_elements>
+__global__ void scaled_upper_triang_masked_softmax_warp_backward(
+    output_t *gradInput, 
+    input_t *grad, 
+    const input_t *output,
+    acc_t scale, 
+    int micro_batch_size, 
+    int stride, 
+    int element_count)
+{
+    // WARP_SIZE and WARP_BATCH must match the return values batches_per_warp and 
+    // warp_size of method warp_softmax_backward_kernel.
+    constexpr int next_power_of_two = 1 << log2_elements;
+    constexpr int WARP_SIZE = (next_power_of_two < C10_WARP_SIZE) ? next_power_of_two : C10_WARP_SIZE;
+    constexpr int WARP_ITERATIONS = next_power_of_two / WARP_SIZE;
+    constexpr int WARP_BATCH = (next_power_of_two <= 128) ? 2 : 1;
+    constexpr int ELEMENTS_PER_LDG_STG = (WARP_ITERATIONS < 4) ? 1 : 4;
+
+    long int first_batch = (blockDim.y * blockIdx.y + threadIdx.y) * gridDim.x * WARP_BATCH + blockIdx.x;
+    int local_seq = blockIdx.x + 1; 
+    
+    // micro_batch_size might not be a multiple of WARP_BATCH. Check how
+    // many batches have to computed within this WARP.
+    int local_batches = micro_batch_size - first_batch;
+    if (local_batches > WARP_BATCH)
+        local_batches = WARP_BATCH;
+
+    // there might be multiple batches per warp. compute the index within the batch
+    int local_idx = threadIdx.x;
+
+    // the first element to process by the current thread
+    long int thread_offset = first_batch * stride + ELEMENTS_PER_LDG_STG * local_idx;
+    grad += thread_offset;
+    output += thread_offset;
+    gradInput += thread_offset;
+
+    // load data from global memory
+    acc_t grad_reg[WARP_BATCH][WARP_ITERATIONS] { 0.0f };
+    acc_t output_reg[WARP_BATCH][WARP_ITERATIONS] { 0.0f };
+    input_t temp_grad[ELEMENTS_PER_LDG_STG];
+    input_t temp_output[ELEMENTS_PER_LDG_STG];
+    #pragma unroll
+    for (int i = 0;  i < WARP_BATCH;  ++i) {
+        int batch_element_count = (i >= local_batches) ? 0 : local_seq;
+
+        #pragma unroll
+        for (int it = 0;  it < WARP_ITERATIONS;  it+=ELEMENTS_PER_LDG_STG) {
+            int element_index = ELEMENTS_PER_LDG_STG * local_idx + it * WARP_SIZE;
+            if (element_index < batch_element_count) {
+                copy_vector<input_t, ELEMENTS_PER_LDG_STG>(temp_grad, grad + i * element_count * stride + it * WARP_SIZE);
+                copy_vector<input_t, ELEMENTS_PER_LDG_STG>(temp_output, output + i * element_count * stride + it * WARP_SIZE);
+
+                #pragma unroll
+                for (int element = 0; element < ELEMENTS_PER_LDG_STG; ++element) {
+                    if (element_index + element < batch_element_count) {
+                        output_reg[i][it + element] = (acc_t)temp_output[element];
+                    }
+                }
+                #pragma unroll
+                for (int element = 0; element < ELEMENTS_PER_LDG_STG; ++element) {
+                    if (element_index + element < batch_element_count) {
+                        grad_reg[i][it + element] = (acc_t)temp_grad[element] * output_reg[i][it + element];
+                    }
+                }
+            }
+        }
+    }
+   
+    acc_t sum[WARP_BATCH];
+    #pragma unroll
+    for (int i = 0;  i < WARP_BATCH;  ++i) {
+        sum[i] = grad_reg[i][0];
+        #pragma unroll
+        for (int it = 1;  it < WARP_ITERATIONS;  ++it) {
+            sum[i] += grad_reg[i][it];
+        }
+    }
+    warp_reduce<acc_t, WARP_BATCH, WARP_SIZE, Add>(sum);
+
+    // store result
+    #pragma unroll
+    for (int i = 0;  i < WARP_BATCH;  ++i) {
+        if (i >= local_batches)
+            break;
+        #pragma unroll
+        for (int it = 0;  it < WARP_ITERATIONS;  it+=ELEMENTS_PER_LDG_STG) {
+            int element_index = ELEMENTS_PER_LDG_STG * local_idx + it * WARP_SIZE;
+            if (element_index < element_count) {
+                // compute gradients
+                output_t out[ELEMENTS_PER_LDG_STG];
+                #pragma unroll
+                for (int element = 0; element < ELEMENTS_PER_LDG_STG; ++element) {
+                    out[element] = (output_t)(scale * (grad_reg[i][it + element] - output_reg[i][it + element] * sum[i]));
+                }
+                copy_vector<output_t, ELEMENTS_PER_LDG_STG>(gradInput + i * element_count * stride + it * WARP_SIZE, out);
+            } 
+        }
+    }
+}
+
+} // end of anonymous namespace
+
+template<typename input_t, typename output_t, typename acc_t>
+void dispatch_scaled_upper_triang_masked_softmax_forward(
+    output_t *dst, 
+    const input_t *src, 
+    const input_t scale, 
+    int softmax_elements, 
+    int softmax_elements_stride, 
+    int attn_batches)
+{
+    TORCH_INTERNAL_ASSERT(softmax_elements >= 0 && softmax_elements <= 16384 );
+    if (softmax_elements == 0) {
+        return;
+    } else {
+        int log2_elements = log2_ceil(softmax_elements);
+        const int next_power_of_two = 1 << log2_elements;
+        int seq_len = softmax_elements;
+        int batch_count = attn_batches * seq_len;
+
+        // This value must match the WARP_SIZE constexpr value computed inside softmax_warp_forward.
+        int warp_size = (next_power_of_two < C10_WARP_SIZE) ? next_power_of_two : C10_WARP_SIZE;
+
+        // This value must match the WARP_BATCH constexpr value computed inside softmax_warp_forward.
+        int batches_per_warp = (next_power_of_two <= 128) ? 2 : 1;
+
+        // use 128 threads per block to maximize gpu utilization
+        constexpr int threads_per_block = 128;
+
+        int warps_per_block = (threads_per_block / warp_size);
+        int batches_per_block = warps_per_block * batches_per_warp;
+        TORCH_INTERNAL_ASSERT(attn_batches % batches_per_block == 0);
+
+        int blocks_per_seq = attn_batches / batches_per_block;
+        dim3 blocks(seq_len, blocks_per_seq, 1);
+        dim3 threads(warp_size, warps_per_block, 1);
+        // Launch code would be more elegant if C++ supported FOR CONSTEXPR
+        switch (log2_elements) {
+            case 0: // 1
+                scaled_upper_triang_masked_softmax_warp_forward<input_t, output_t, acc_t, 0>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(dst, src, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 1: // 2
+                scaled_upper_triang_masked_softmax_warp_forward<input_t, output_t, acc_t, 1>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(dst, src, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 2: // 4
+                scaled_upper_triang_masked_softmax_warp_forward<input_t, output_t, acc_t, 2>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(dst, src, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 3: // 8
+                scaled_upper_triang_masked_softmax_warp_forward<input_t, output_t, acc_t, 3>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(dst, src, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 4: // 16
+                scaled_upper_triang_masked_softmax_warp_forward<input_t, output_t, acc_t, 4>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(dst, src, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 5: // 32
+                scaled_upper_triang_masked_softmax_warp_forward<input_t, output_t, acc_t, 5>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(dst, src, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 6: // 64
+                scaled_upper_triang_masked_softmax_warp_forward<input_t, output_t, acc_t, 6>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(dst, src, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 7: // 128
+                scaled_upper_triang_masked_softmax_warp_forward<input_t, output_t, acc_t, 7>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(dst, src, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 8: // 256
+                scaled_upper_triang_masked_softmax_warp_forward<input_t, output_t, acc_t, 8>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(dst, src, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 9: // 512
+                scaled_upper_triang_masked_softmax_warp_forward<input_t, output_t, acc_t, 9>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(dst, src, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 10: // 1024
+                scaled_upper_triang_masked_softmax_warp_forward<input_t, output_t, acc_t, 10>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(dst, src, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 11: // 2048
+                scaled_upper_triang_masked_softmax_warp_forward<input_t, output_t, acc_t, 11>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(dst, src, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+	    case 12: // 4096
+                scaled_upper_triang_masked_softmax_warp_forward<input_t, output_t, acc_t, 12>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(dst, src, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+	    case 13: // 8192
+                scaled_upper_triang_masked_softmax_warp_forward<input_t, output_t, acc_t, 13>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(dst, src, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+	    case 14: // 16384
+                scaled_upper_triang_masked_softmax_warp_forward<input_t, output_t, acc_t, 14>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(dst, src, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            default:
+                break;
+        }
+    }
+}
+
+template<typename input_t, typename output_t, typename acc_t>
+void dispatch_scaled_upper_triang_masked_softmax_backward(
+    output_t *grad_input, 
+    input_t *grad, 
+    const input_t *output, 
+    const acc_t scale, 
+    int softmax_elements, 
+    int softmax_elements_stride, 
+    int attn_batches)
+{
+    TORCH_INTERNAL_ASSERT( softmax_elements >= 0 && softmax_elements <= 16384 );
+    if (softmax_elements == 0) {
+       return;
+    } else {
+        int log2_elements = log2_ceil(softmax_elements);
+        const int next_power_of_two = 1 << log2_elements;
+        int seq_len = softmax_elements;
+        int batch_count = attn_batches * seq_len;
+
+        // This value must match the WARP_SIZE constexpr value computed inside softmax_warp_backward.
+        int warp_size = (next_power_of_two < C10_WARP_SIZE) ? next_power_of_two : C10_WARP_SIZE;
+
+        // This value must match the WARP_BATCH constexpr value computed inside softmax_warp_backward.
+        int batches_per_warp = (next_power_of_two <= 128) ? 2 : 1;
+
+        // use 128 threads per block to maximize gpu utilization
+        constexpr int threads_per_block = 128;
+
+        int warps_per_block = (threads_per_block / warp_size);
+        int batches_per_block = warps_per_block * batches_per_warp;
+        TORCH_INTERNAL_ASSERT(attn_batches % batches_per_block == 0);
+
+        int blocks_per_seq = attn_batches / batches_per_block;
+        dim3 blocks(seq_len, blocks_per_seq, 1);
+        dim3 threads(warp_size, warps_per_block, 1);
+        // Launch code would be more elegant if C++ supported FOR CONSTEXPR
+        switch (log2_elements) {
+            case 0: // 1
+                scaled_upper_triang_masked_softmax_warp_backward<input_t, output_t, acc_t, 0>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(grad_input, grad, output, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 1: // 2
+                scaled_upper_triang_masked_softmax_warp_backward<input_t, output_t, acc_t, 1>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(grad_input, grad, output, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 2: // 4
+                scaled_upper_triang_masked_softmax_warp_backward<input_t, output_t, acc_t, 2>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(grad_input, grad, output, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 3: // 8
+                scaled_upper_triang_masked_softmax_warp_backward<input_t, output_t, acc_t, 3>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(grad_input, grad, output, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 4: // 16
+                scaled_upper_triang_masked_softmax_warp_backward<input_t, output_t, acc_t, 4>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(grad_input, grad, output, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 5: // 32
+                scaled_upper_triang_masked_softmax_warp_backward<input_t, output_t, acc_t, 5>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(grad_input, grad, output, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 6: // 64
+                scaled_upper_triang_masked_softmax_warp_backward<input_t, output_t, acc_t, 6>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(grad_input, grad, output, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 7: // 128
+                scaled_upper_triang_masked_softmax_warp_backward<input_t, output_t, acc_t, 7>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(grad_input, grad, output, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 8: // 256
+                scaled_upper_triang_masked_softmax_warp_backward<input_t, output_t, acc_t, 8>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(grad_input, grad, output, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 9: // 512
+                scaled_upper_triang_masked_softmax_warp_backward<input_t, output_t, acc_t, 9>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(grad_input, grad, output, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 10: // 1024
+                scaled_upper_triang_masked_softmax_warp_backward<input_t, output_t, acc_t, 10>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(grad_input, grad, output, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 11: // 2048
+                scaled_upper_triang_masked_softmax_warp_backward<input_t, output_t, acc_t, 11>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(grad_input, grad, output, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 12: // 4096
+                scaled_upper_triang_masked_softmax_warp_backward<input_t, output_t, acc_t, 12>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(grad_input, grad, output, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 13: // 8192
+                scaled_upper_triang_masked_softmax_warp_backward<input_t, output_t, acc_t, 13>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(grad_input, grad, output, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            case 14: // 16384
+                scaled_upper_triang_masked_softmax_warp_backward<input_t, output_t, acc_t, 14>
+                    <<<blocks, threads, 0, at::cuda::getCurrentCUDAStream()>>>(grad_input, grad, output, scale, batch_count, softmax_elements_stride, softmax_elements);
+                break;
+            default:
+                break;
+        }
+    }
+}