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#include "caffe2/utils/math/reduce.h"
#include <algorithm>
#include <functional>
#include <limits>
#include <numeric>
#include <vector>
#include "caffe2/utils/cub_namespace.cuh"
#include <cub/block/block_reduce.cuh>
#include <thrust/execution_policy.h>
#include <thrust/reduce.h>
#include <thrust/transform.h>
#include "caffe2/core/context_gpu.h"
#include "caffe2/utils/math/elementwise.h"
#include "caffe2/utils/math/reduce.cuh"
#include "caffe2/utils/math/utils.h"
namespace caffe2 {
namespace math {
namespace {
template <typename T, class Reducer>
__global__ void RowwiseReduceCUDAKernel(
const int cols,
const Reducer reducer,
const T init,
const T alpha,
const T* X,
T* Y) {
__shared__ typename BlockReduce<T>::TempStorage temp_storage;
const int r = blockIdx.x;
T val = init;
for (int c = threadIdx.x; c < cols; c += blockDim.x) {
#if __CUDA_ARCH__ >= 350 || defined(USE_ROCM)
val = reducer(val, __ldg(X + r * cols + c));
#else
val = reducer(val, X[r * cols + c]);
#endif
}
val = BlockReduce<T>(temp_storage).Reduce(val, reducer);
if (threadIdx.x == 0) {
Y[r] = val * alpha;
}
}
template <typename T, class Reducer>
__global__ void ColwiseReduceCUDAKernel(
const int rows,
const int cols,
const Reducer reducer,
const T init,
const T alpha,
const T* X,
T* Y) {
__shared__ typename BlockReduce<T>::TempStorage temp_storage;
const int c = blockIdx.x;
T val = init;
for (int r = threadIdx.x; r < rows; r += blockDim.x) {
#if __CUDA_ARCH__ >= 350 || defined(USE_ROCM)
val = reducer(val, __ldg(X + r * cols + c));
#else
val = reducer(val, X[r * cols + c]);
#endif
}
val = BlockReduce<T>(temp_storage).Reduce(val, reducer);
if (threadIdx.x == 0) {
Y[c] = val * alpha;
}
}
template <typename T, class Reducer, int kBlockDimX, int kBlockDimY>
__global__ void BothEndsReduceCUDAKernel(
const int M,
const int N,
const int K,
const Reducer reducer,
const T init,
const T alpha,
const T* X,
T* Y) {
__shared__ typename BlockReduce2D<T, kBlockDimX, kBlockDimY>::TempStorage
temp_storage;
const int n = blockIdx.x;
T val = init;
for (int m = threadIdx.x; m < M; m += blockDim.x) {
for (int k = threadIdx.y; k < K; k += blockDim.y) {
#if __CUDA_ARCH__ >= 350 || defined(USE_ROCM)
val = reducer(val, __ldg(X + (m * N + n) * K + k));
#else
val = reducer(val, X[(m * N + n) * K + k]);
#endif
}
}
val = BlockReduce2D<T, kBlockDimX, kBlockDimY>(temp_storage)
.Reduce(val, reducer);
if (threadIdx.x == 0 && threadIdx.y == 0) {
Y[n] = val * alpha;
}
}
template <typename T, class Reducer, int D>
__global__ void ReduceTensorCUDAKernel(
const int inner_size,
const SimpleArray<int, D> X_strides,
const SimpleArray<int, D> Y_dims,
const Reducer reducer,
const T init,
const T alpha,
const T* X,
T* Y) {
__shared__ typename BlockReduce<T>::TempStorage temp_storage;
const int x = blockIdx.x;
T val = init;
for (int y = threadIdx.x; y < inner_size; y += blockDim.x) {
int X_index = 0;
int Y_index = x * inner_size + y;
#pragma unroll
for (int d = D - 1; d >= 0; --d) {
X_index += Y_index % Y_dims.data[d] * X_strides.data[d];
Y_index /= Y_dims.data[d];
}
#if __CUDA_ARCH__ >= 350 || defined(USE_ROCM)
val = reducer(val, __ldg(X + X_index));
#else
val = reducer(val, X[X_index]);
#endif
}
val = BlockReduce<T>(temp_storage).Reduce(val, reducer);
if (threadIdx.x == 0) {
Y[x] = val * alpha;
}
}
template <typename T, class Reducer, int D>
void ReduceTensorCUDAImpl(
const int outer_size,
const int inner_size,
const int* dims,
const int* axes,
const Reducer& reducer,
const T init,
const T alpha,
const T* X,
T* Y,
CUDAContext* context) {
SimpleArray<int, D> X_strides;
SimpleArray<int, D> Y_dims;
utils::ComputeTransposedStrides(D, dims, axes, X_strides.data);
for (int i = 0; i < D; ++i) {
Y_dims.data[i] = dims[axes[i]];
}
ReduceTensorCUDAKernel<T, Reducer, D>
<<<outer_size, CAFFE_CUDA_NUM_THREADS, 0, context->cuda_stream()>>>(
inner_size, X_strides, Y_dims, reducer, init, alpha, X, Y);
C10_CUDA_KERNEL_LAUNCH_CHECK();
}
template <typename T, class Reducer>
void ReduceTensorCUDA(
const int ndim,
const int* X_dims,
const int* Y_dims,
const Reducer& reducer,
const T init,
const T alpha,
const T* X,
T* Y,
CUDAContext* context) {
CAFFE_ENFORCE(utils::CheckReduceDims(ndim, X_dims, Y_dims));
const int X_size =
std::accumulate(X_dims, X_dims + ndim, 1, std::multiplies<int>());
const int Y_size =
std::accumulate(Y_dims, Y_dims + ndim, 1, std::multiplies<int>());
if (X_size == 0) {
Set<T, CUDAContext>(Y_size, init * alpha, Y, context);
return;
}
if (std::equal(X_dims, X_dims + ndim, Y_dims)) {
Scale<T, T, CUDAContext>(X_size, alpha, X, Y, context);
return;
}
int rows;
int cols;
if (utils::IsRowwiseReduce(ndim, X_dims, Y_dims, &rows, &cols)) {
RowwiseReduceCUDAKernel<T, Reducer>
<<<rows, CAFFE_CUDA_NUM_THREADS, 0, context->cuda_stream()>>>(
cols, reducer, init, alpha, X, Y);
C10_CUDA_KERNEL_LAUNCH_CHECK();
return;
}
if (utils::IsColwiseReduce(ndim, X_dims, Y_dims, &rows, &cols)) {
ColwiseReduceCUDAKernel<T, Reducer>
<<<cols, CAFFE_CUDA_NUM_THREADS, 0, context->cuda_stream()>>>(
rows, cols, reducer, init, alpha, X, Y);
C10_CUDA_KERNEL_LAUNCH_CHECK();
return;
}
int M;
int N;
int K;
if (utils::IsBothEndsReduce(ndim, X_dims, Y_dims, &M, &N, &K)) {
DISPATCH_REDUCE_KERNEL_BY_2D_BLOCK_WITH_TYPE_2(
K,
BothEndsReduceCUDAKernel,
T,
Reducer,
N,
context->cuda_stream(),
M,
N,
K,
reducer,
init,
alpha,
X,
Y);
return;
}
std::vector<int> axes(ndim);
utils::ComputeTransposeAxesForReduceOp(ndim, Y_dims, axes.data());
const int outer_size = Y_size;
const int inner_size = X_size / Y_size;
DISPATCH_FUNCTION_BY_VALUE_WITH_TYPE_2(
ndim,
ReduceTensorCUDAImpl,
T,
Reducer,
outer_size,
inner_size,
X_dims,
axes.data(),
reducer,
init,
alpha,
X,
Y,
context);
}
template <typename T>
__global__ void
RowwiseMomentsCUDAKernel(const int cols, const T* X, T* mean, T* var) {
__shared__ typename BlockReduce<T>::TempStorage m_storage;
__shared__ typename BlockReduce<T>::TempStorage v_storage;
const T scale = T(1) / static_cast<T>(cols);
const int r = blockIdx.x;
T m_val = 0;
T v_val = 0;
for (int c = threadIdx.x; c < cols; c += blockDim.x) {
const int X_index = r * cols + c;
#if __CUDA_ARCH__ >= 350 || defined(USE_ROCM)
m_val += __ldg(X + X_index);
v_val += __ldg(X + X_index) * __ldg(X + X_index);
#else
m_val += X[X_index];
v_val += X[X_index] * X[X_index];
#endif
}
m_val = BlockReduce<T>(m_storage).Sum(m_val);
v_val = BlockReduce<T>(v_storage).Sum(v_val);
if (threadIdx.x == 0) {
const T mu = m_val * scale;
mean[r] = mu;
var[r] = v_val * scale - mu * mu;
}
}
template <typename T>
__global__ void ColwiseMomentsCUDAKernel(
const int rows,
const int cols,
const T* X,
T* mean,
T* var) {
__shared__ typename BlockReduce<T>::TempStorage m_storage;
__shared__ typename BlockReduce<T>::TempStorage v_storage;
const T scale = T(1) / static_cast<T>(rows);
const int c = blockIdx.x;
T m_val = 0;
T v_val = 0;
for (int r = threadIdx.x; r < rows; r += blockDim.x) {
const int X_index = r * cols + c;
#if __CUDA_ARCH__ >= 350 || defined(USE_ROCM)
m_val += __ldg(X + X_index);
v_val += __ldg(X + X_index) * __ldg(X + X_index);
#else
m_val += X[X_index];
v_val += X[X_index] * X[X_index];
#endif
}
m_val = BlockReduce<T>(m_storage).Sum(m_val);
v_val = BlockReduce<T>(v_storage).Sum(v_val);
if (threadIdx.x == 0) {
const T mu = m_val * scale;
mean[c] = mu;
var[c] = v_val * scale - mu * mu;
}
}
template <typename T, int kBlockDimX, int kBlockDimY>
__global__ void BothEndsMomentsCUDAKernel(
const int M,
const int N,
const int K,
const T* X,
T* mean,
T* var) {
__shared__
typename BlockReduce2D<T, kBlockDimX, kBlockDimY>::TempStorage m_storage;
__shared__
typename BlockReduce2D<T, kBlockDimX, kBlockDimY>::TempStorage v_storage;
const T scale = T(1) / static_cast<T>(M * K);
const int n = blockIdx.x;
T m_val = 0;
T v_val = 0;
for (int m = threadIdx.x; m < M; m += blockDim.x) {
for (int k = threadIdx.y; k < K; k += blockDim.y) {
const int X_index = (m * N + n) * K + k;
#if __CUDA_ARCH__ >= 350 || defined(USE_ROCM)
m_val += __ldg(X + X_index);
v_val += __ldg(X + X_index) * __ldg(X + X_index);
#else
m_val += X[X_index];
v_val += X[X_index] * X[X_index];
#endif
}
}
m_val = BlockReduce2D<T, kBlockDimX, kBlockDimY>(m_storage).Sum(m_val);
v_val = BlockReduce2D<T, kBlockDimX, kBlockDimY>(v_storage).Sum(v_val);
if (threadIdx.x == 0 && threadIdx.y == 0) {
const T mu = m_val * scale;
mean[n] = mu;
var[n] = v_val * scale - mu * mu;
}
}
template <typename T, int D>
__global__ void MomentsCUDAKernel(
const int inner_size,
const SimpleArray<int, D> X_strides,
const SimpleArray<int, D> Y_dims,
const T* X,
T* mean,
T* var) {
__shared__ typename BlockReduce<T>::TempStorage m_storage;
__shared__ typename BlockReduce<T>::TempStorage v_storage;
const T scale = T(1) / static_cast<T>(inner_size);
const int x = blockIdx.x;
T m_val = 0;
T v_val = 0;
for (int y = threadIdx.x; y < inner_size; y += blockDim.x) {
int X_index = 0;
int Y_index = x * inner_size + y;
#pragma unroll
for (int d = D - 1; d >= 0; --d) {
X_index += Y_index % Y_dims.data[d] * X_strides.data[d];
Y_index /= Y_dims.data[d];
}
#if __CUDA_ARCH__ >= 350 || defined(USE_ROCM)
m_val += __ldg(X + X_index);
v_val += __ldg(X + X_index) * __ldg(X + X_index);
#else
m_val += X[X_index];
v_val += X[X_index] * X[X_index];
#endif
}
m_val = BlockReduce<T>(m_storage).Sum(m_val);
v_val = BlockReduce<T>(v_storage).Sum(v_val);
if (threadIdx.x == 0) {
const T mu = m_val * scale;
mean[x] = mu;
var[x] = v_val * scale - mu * mu;
}
}
template <typename T, int D>
void MomentsCUDAImpl(
const int outer_size,
const int inner_size,
const int* dims,
const int* axes,
const T* X,
T* mean,
T* var,
CUDAContext* context) {
SimpleArray<int, D> X_strides;
SimpleArray<int, D> Y_dims;
utils::ComputeTransposedStrides(D, dims, axes, X_strides.data);
for (int i = 0; i < D; ++i) {
Y_dims.data[i] = dims[axes[i]];
}
MomentsCUDAKernel<T, D>
<<<outer_size, CAFFE_CUDA_NUM_THREADS, 0, context->cuda_stream()>>>(
inner_size, X_strides, Y_dims, X, mean, var);
C10_CUDA_KERNEL_LAUNCH_CHECK();
}
template <typename T>
void MomentsCUDA(
const int ndim,
const int* X_dims,
const int* Y_dims,
const T* X,
T* mean,
T* var,
CUDAContext* context) {
CAFFE_ENFORCE(utils::CheckReduceDims(ndim, X_dims, Y_dims));
const int X_size =
std::accumulate(X_dims, X_dims + ndim, 1, std::multiplies<int>());
const int Y_size =
std::accumulate(Y_dims, Y_dims + ndim, 1, std::multiplies<int>());
if (X_size == 0) {
Set<T, CUDAContext>(Y_size, T(0), mean, context);
Set<T, CUDAContext>(Y_size, T(0), var, context);
return;
}
if (std::equal(X_dims, X_dims + ndim, Y_dims)) {
cudaMemcpyAsync(
mean,
X,
sizeof(T) * X_size,
cudaMemcpyDeviceToDevice,
context->cuda_stream());
Set<T, CUDAContext>(Y_size, T(0), var, context);
return;
}
int rows;
int cols;
if (utils::IsRowwiseReduce(ndim, X_dims, Y_dims, &rows, &cols)) {
RowwiseMomentsCUDAKernel<T>
<<<rows, CAFFE_CUDA_NUM_THREADS, 0, context->cuda_stream()>>>(
cols, X, mean, var);
C10_CUDA_KERNEL_LAUNCH_CHECK();
return;
}
if (utils::IsColwiseReduce(ndim, X_dims, Y_dims, &rows, &cols)) {
ColwiseMomentsCUDAKernel<T>
<<<cols, CAFFE_CUDA_NUM_THREADS, 0, context->cuda_stream()>>>(
rows, cols, X, mean, var);
C10_CUDA_KERNEL_LAUNCH_CHECK();
return;
}
int M;
int N;
int K;
if (utils::IsBothEndsReduce(ndim, X_dims, Y_dims, &M, &N, &K)) {
DISPATCH_REDUCE_KERNEL_BY_2D_BLOCK_WITH_TYPE_1(
K,
BothEndsMomentsCUDAKernel,
T,
N,
context->cuda_stream(),
M,
N,
K,
X,
mean,
var);
return;
}
std::vector<int> axes(ndim);
utils::ComputeTransposeAxesForReduceOp(ndim, Y_dims, axes.data());
const int outer_size = Y_size;
const int inner_size = X_size / Y_size;
DISPATCH_FUNCTION_BY_VALUE_WITH_TYPE_1(
ndim,
MomentsCUDAImpl,
T,
outer_size,
inner_size,
X_dims,
axes.data(),
X,
mean,
var,
context);
}
} // namespace
#define DELEGATE_CUDA_REDUCE_FUNCTION(T, Func, Reducer, kInit) \
template <> \
CAFFE2_CUDA_EXPORT void Func<T, CUDAContext>( \
const int ndim, \
const int* X_dims, \
const int* Y_dims, \
const T alpha, \
const T* X, \
T* Y, \
CUDAContext* context, \
bool) { \
ReduceTensorCUDA<T, Reducer>( \
ndim, X_dims, Y_dims, Reducer(), kInit, alpha, X, Y, context); \
}
DELEGATE_CUDA_REDUCE_FUNCTION(
std::int32_t,
ReduceMin,
cub::Min,
std::numeric_limits<std::int32_t>::max())
DELEGATE_CUDA_REDUCE_FUNCTION(
std::int64_t,
ReduceMin,
cub::Min,
std::numeric_limits<std::int64_t>::max())
DELEGATE_CUDA_REDUCE_FUNCTION(
float,
ReduceMin,
cub::Min,
std::numeric_limits<float>::max())
DELEGATE_CUDA_REDUCE_FUNCTION(
double,
ReduceMin,
cub::Min,
std::numeric_limits<double>::max())
DELEGATE_CUDA_REDUCE_FUNCTION(
std::int32_t,
ReduceMax,
cub::Max,
std::numeric_limits<std::int32_t>::lowest())
DELEGATE_CUDA_REDUCE_FUNCTION(
std::int64_t,
ReduceMax,
cub::Max,
std::numeric_limits<std::int64_t>::lowest())
DELEGATE_CUDA_REDUCE_FUNCTION(
float,
ReduceMax,
cub::Max,
std::numeric_limits<float>::lowest())
DELEGATE_CUDA_REDUCE_FUNCTION(
double,
ReduceMax,
cub::Max,
std::numeric_limits<double>::lowest())
DELEGATE_CUDA_REDUCE_FUNCTION(std::int32_t, ReduceSum, cub::Sum, 0)
DELEGATE_CUDA_REDUCE_FUNCTION(std::int64_t, ReduceSum, cub::Sum, 0LL)
DELEGATE_CUDA_REDUCE_FUNCTION(float, ReduceSum, cub::Sum, 0.0f)
DELEGATE_CUDA_REDUCE_FUNCTION(double, ReduceSum, cub::Sum, 0.0)
#undef DELEGATE_CUDA_REDUCE_FUNCTION
#define CAFFE2_SPECIALIZED_CUDA_REDUCE_MEAN(T) \
template <> \
CAFFE2_CUDA_EXPORT void ReduceMean<T, CUDAContext>( \
const int ndim, \
const int* X_dims, \
const int* Y_dims, \
const T alpha, \
const T* X, \
T* Y, \
CUDAContext* context, \
bool) { \
int scale = 1; \
for (int i = 0; i < ndim; ++i) { \
if (Y_dims[i] == 1) { \
scale *= X_dims[i]; \
} \
} \
ReduceTensorCUDA<T, cub::Sum>( \
ndim, \
X_dims, \
Y_dims, \
cub::Sum(), \
T(0), \
alpha / static_cast<T>(scale), \
X, \
Y, \
context); \
}
CAFFE2_SPECIALIZED_CUDA_REDUCE_MEAN(float)
#undef CAFFE2_SPECIALIZED_CUDA_REDUCE_MEAN
#define CAFFE2_SPECIALIZED_CUDA_MOMENTS(T) \
template <> \
CAFFE2_CUDA_EXPORT void Moments<T, CUDAContext>( \
const int ndim, \
const int* X_dims, \
const int* Y_dims, \
const T* X, \
T* mean, \
T* var, \
CUDAContext* context, \
bool) { \
MomentsCUDA<T>(ndim, X_dims, Y_dims, X, mean, var, context); \
}
CAFFE2_SPECIALIZED_CUDA_MOMENTS(float)
CAFFE2_SPECIALIZED_CUDA_MOMENTS(double)
#undef CAFFE2_SPECIALIZED_CUDA_MOMENTS
} // namespace math
} // namespace caffe2
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