p_norm_op.cu

/* Copyright (c) 2020 PaddlePaddle Authors. 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.
Indicesou 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. */

#include <algorithm>
#include "cub/cub.cuh"
#include "paddle/fluid/operators/p_norm_op.h"

namespace paddle {
namespace operators {

template <typename T>
__device__ __forceinline__ int sgn(T val) {
  return (T(0) < val) - (val < T(0));
}

__device__ __forceinline__ float inline_abs(float x) { return abs(x); }
__device__ __forceinline__ double inline_abs(double x) { return abs(x); }

__device__ __forceinline__ int inline_sign(float x) { return sgn<float>(x); }
__device__ __forceinline__ int inline_sign(double x) { return sgn<double>(x); }

__device__ __forceinline__ float inline_pow(float base, float exponent) {
  return pow(base, exponent);
}
__device__ __forceinline__ double inline_pow(double base, double exponent) {
  return pow(base, exponent);
}

template <typename T, int BlockDim>
__global__ void Pnorm(const T* x, const int pre,
                      const int axis_n,  // dim in axis
                      const int post, float porder, T* out_norm) {
  typedef cub::BlockReduce<T, BlockDim> BlockReduce;
  __shared__ typename BlockReduce::TempStorage temp_storage;
  int num = pre * post;
  auto porder_t = static_cast<T>(porder);
  auto porder_inv = static_cast<T>(1.0 / porder);

  for (int i = blockIdx.x; i < num; i += gridDim.x) {
    int base = (i / post) * post * axis_n + (i % post);
    T sum = 0.0;
    for (int j = threadIdx.x; j < axis_n; j += blockDim.x) {
      const T x_ij = x[base + j * post];
      sum += inline_pow(inline_abs(x_ij), porder_t);
    }
    T reduce_result = BlockReduce(temp_storage).Sum(sum);
    if (threadIdx.x == 0) out_norm[i] = inline_pow(reduce_result, porder_inv);
  }
}

template <typename T, int BlockDim>
__global__ void ZeorNorm(const T* x, const int pre,
                         const int axis_n,  // dim in axis
                         const int post, T* out_norm) {
  typedef cub::BlockReduce<T, BlockDim> BlockReduce;
  __shared__ typename BlockReduce::TempStorage temp_storage;
  int num = pre * post;
  for (int i = blockIdx.x; i < num; i += gridDim.x) {
    int base = (i / post) * post * axis_n + (i % post);
    T sum = 0.0;
    for (int j = threadIdx.x; j < axis_n; j += blockDim.x) {
      const T x_ij = x[base + j * post];
      sum += static_cast<T>(x_ij != 0);
    }
    T reduce_result = BlockReduce(temp_storage).Sum(sum);
    if (threadIdx.x == 0) out_norm[i] = reduce_result;
  }
}

template <typename T, int BlockDim>
__global__ void InfNorm(const T* x, const int pre,
                        const int axis_n,  // dim in axis
                        const int post, T* out_norm) {
  typedef cub::BlockReduce<T, BlockDim> BlockReduce;
  __shared__ typename BlockReduce::TempStorage temp_storage;
  int num = pre * post;
  for (int i = blockIdx.x; i < num; i += gridDim.x) {
    int base = (i / post) * post * axis_n + (i % post);
    T cur_max = inline_abs(x[base]);
    for (int j = threadIdx.x; j < axis_n; j += blockDim.x) {
      T x_ij_abs = inline_abs(x[base + j * post]);
      if (cur_max < x_ij_abs) cur_max = x_ij_abs;
    }
    T reduce_result = BlockReduce(temp_storage).Reduce(cur_max, cub::Max());
    if (threadIdx.x == 0) out_norm[i] = reduce_result;
  }
}

template <typename T, int BlockDim>
__global__ void NegInfNorm(const T* x, const int pre,
                           const int axis_n,  // dim in axis
                           const int post, T* out_norm) {
  typedef cub::BlockReduce<T, BlockDim> BlockReduce;
  __shared__ typename BlockReduce::TempStorage temp_storage;
  int num = pre * post;
  for (int i = blockIdx.x; i < num; i += gridDim.x) {
    int base = (i / post) * post * axis_n + (i % post);
    T cur_min = inline_abs(x[base]);
    for (int j = threadIdx.x; j < axis_n; j += blockDim.x) {
      T x_ij_abs = inline_abs(x[base + j * post]);
      if (cur_min > x_ij_abs) cur_min = x_ij_abs;
    }
    T reduce_result = BlockReduce(temp_storage).Reduce(cur_min, cub::Min());
    if (threadIdx.x == 0) out_norm[i] = reduce_result;
  }
}

template <typename DeviceContext, typename T>
class PnormCUDAKernel : public framework::OpKernel<T> {
 public:
  void Compute(const framework::ExecutionContext& ctx) const override {
    auto* in_x = ctx.Input<framework::Tensor>("X");
    auto* out_norm = ctx.Output<framework::Tensor>("Out");
    const T* x = in_x->data<T>();
    T* norm = out_norm->mutable_data<T>(ctx.GetPlace());

    auto xdim = in_x->dims();
    auto ndim = out_norm->dims();
    float porder = ctx.Attr<float>("porder");
    int axis = ctx.Attr<int>("axis");
    bool asvector = ctx.Attr<bool>("asvector");
    if (axis < 0) axis = xdim.size() + axis;
    int pre, n, post;
    GetDims(xdim, axis, &pre, &n, &post, asvector);

    auto& dev_ctx = ctx.cuda_device_context();

    const int block = 512;
    int max_threads = dev_ctx.GetMaxPhysicalThreadCount();
    const int max_blocks = std::max(max_threads / block, 1);
    int grid = std::min(max_blocks, pre * post);
    if (porder == 0) {
      ZeorNorm<T, block><<<grid, block, 0, dev_ctx.stream()>>>(x, pre, n, post,
                                                               norm);
    } else if (porder == INFINITY) {
      InfNorm<T, block><<<grid, block, 0, dev_ctx.stream()>>>(x, pre, n, post,
                                                              norm);
    } else if (porder == -INFINITY) {
      NegInfNorm<T, block><<<grid, block, 0, dev_ctx.stream()>>>(x, pre, n,
                                                                 post, norm);
    } else {
      Pnorm<T, block><<<grid, block, 0, dev_ctx.stream()>>>(x, pre, n, post,
                                                            porder, norm);
    }
  }
};

template <typename T, int BlockDim>
__global__ void PnormGradient(const T* x, const T* x_norm, const T* y_grad,
                              const float porder, const int pre,
                              const int axis_n, const int post, const T eps,
                              T* x_grad) {
  // dx = (x/pnorm_broadcast).pow(p-1) * norm_dy.broadcast * sign(x)
  int num = pre * post;
  auto porder_grad = static_cast<T>(porder - 1.0f);
  for (int i = blockIdx.x; i < num; i += gridDim.x) {
    __shared__ T pnorm_i;
    __shared__ T yout_i;

    auto base = (i / post) * post * axis_n + (i % post);

    if (threadIdx.x == 0) {
      pnorm_i = x_norm[i];
      yout_i = y_grad[i];
    }
    __syncthreads();

    for (int j = threadIdx.x; j < axis_n; j += blockDim.x) {
      int index = base + j * post;
      const T x_ij = inline_abs(x[index]);
      x_grad[index] = inline_pow(x_ij, porder_grad) /
                      (inline_pow(pnorm_i, porder_grad) + eps) * yout_i *
                      inline_sign(x[index]);
    }
  }
}

template <typename T, int BlockDim>
__global__ void InfNormGradient(const T* x, const T* x_norm, const T* y_grad,
                                const int pre, const int axis_n, const int post,
                                T* x_grad) {
  int num = pre * post;
  for (int i = blockIdx.x; i < num; i += gridDim.x) {
    __shared__ T pnorm_i;
    __shared__ T yout_i;
    auto base = (i / post) * post * axis_n + (i % post);
    if (threadIdx.x == 0) {
      pnorm_i = x_norm[i];
      yout_i = y_grad[i];
    }
    __syncthreads();

    for (int j = threadIdx.x; j < axis_n; j += blockDim.x) {
      int index = base + j * post;
      const T x_ij = inline_abs(x[index]);
      if (x_ij == pnorm_i) {
        x_grad[index] = inline_sign(x[index]) * yout_i;
      } else {
        x_grad[index] = static_cast<T>(0);
      }
    }
  }
}

template <typename DeviceContext, typename T, typename AttrType = T>
class PnormGradCUDAKernel : public framework::OpKernel<T> {
 public:
  void Compute(const framework::ExecutionContext& ctx) const override {
    auto* in_x = ctx.Input<framework::Tensor>("X");
    auto* in_norm = ctx.Input<framework::Tensor>("Out");
    auto* in_norm_dy =
        ctx.Input<framework::Tensor>(framework::GradVarName("Out"));
    auto* out_dx = ctx.Output<framework::Tensor>(framework::GradVarName("X"));
    T* dx = out_dx->mutable_data<T>(ctx.GetPlace());
    const T* x = in_x->data<T>();
    const T* x_norm = in_norm->data<T>();
    const T* norm_dy = in_norm_dy->data<T>();

    auto xdim = in_x->dims();
    float porder = ctx.Attr<float>("porder");
    T eps = static_cast<T>(ctx.Attr<float>("epsilon"));
    int axis = ctx.Attr<int>("axis");
    bool asvector = ctx.Attr<bool>("asvector");
    if (axis < 0) axis = xdim.size() + axis;
    int pre, n, post;
    GetDims(xdim, axis, &pre, &n, &post, asvector);

    auto& dev_ctx = ctx.cuda_device_context();

    const int block = 512;
    int max_threads = dev_ctx.GetMaxPhysicalThreadCount();
    const int max_blocks = std::max(max_threads / block, 1);
    int grid = std::min(max_blocks, pre * post);
    if (porder == 0) {
      math::SetConstant<DeviceContext, T> set_zero;
      auto& dev_ctx = ctx.template device_context<DeviceContext>();
      set_zero(dev_ctx, out_dx, static_cast<T>(0));
    } else if (porder == INFINITY || porder == -INFINITY) {
      InfNormGradient<T, block><<<grid, block, 0, dev_ctx.stream()>>>(
          x, x_norm, norm_dy, pre, n, post, dx);
    } else {
      PnormGradient<T, block><<<grid, block, 0, dev_ctx.stream()>>>(
          x, x_norm, norm_dy, porder, pre, n, post, eps, dx);
    }
  }
};

}  // namespace operators
}  // namespace paddle

namespace ops = paddle::operators;
using CUDA = paddle::platform::CUDADeviceContext;

REGISTER_OP_CUDA_KERNEL(p_norm, ops::PnormCUDAKernel<CUDA, float>,
                        ops::PnormCUDAKernel<CUDA, double>);
REGISTER_OP_CUDA_KERNEL(p_norm_grad, ops::PnormGradCUDAKernel<CUDA, float>,
                        ops::PnormGradCUDAKernel<CUDA, double>);