gs_kernels.h

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#ifndef __GS_GS_KERNELS__
#define __GS_GS_KERNELS__
 
template< typename T >
__global__ void gather_kernel_add(T * __restrict__ v,
                  const int m,
                  const int o,
                  const int * __restrict__ dg,
                  const T * __restrict__ u,
                  const int n,
                  const int * __restrict__ gd,
                  const int nb,
                  const int * __restrict__ b,
                  const int * __restrict__ bo) {
 
  const int idx = blockIdx.x * blockDim.x + threadIdx.x;
  const int str = blockDim.x * gridDim.x;
 
  for (int i = idx; i < nb; i += str) {
    const int blk_len = b[i];
    const int k = bo[i];
    T tmp = u[gd[k] - 1];
    for (int j = 1; j < blk_len; j++) {
      tmp += u[gd[k + j] - 1];
    }
    v[dg[k] - 1] = tmp;
  }
  
  if (o < 0) {
    for (int i = ((abs(o) - 1) + idx); i < m ; i += str) {
      v[dg[i] - 1] = u[gd[i] - 1];
    }
  }
  else {
    if ((idx%2 == 0)) {
      for (int i = ((o - 1) + idx); i < m ; i += str) {
    T tmp = u[gd[i] - 1] + u[gd[i+1] - 1];
    v[dg[i] - 1] = tmp;
      }
    }
  }
  
}
 
template< typename T >
__global__ void gather_kernel_mul(T * __restrict__ v,
                  const int m,
                  const int o,
                  const int * __restrict__ dg,
                  const T * __restrict__ u,
                  const int n,
                  const int * __restrict__ gd,
                  const int nb,
                  const int * __restrict__ b,
                  const int * __restrict__ bo) { 
 
  const int idx = blockIdx.x * blockDim.x + threadIdx.x;
  const int str = blockDim.x * gridDim.x;
 
  for (int i = idx; i < nb; i += str) {
    const int blk_len = b[i];
    const int k = bo[i];
    T tmp = u[gd[k] - 1];
    for (int j = 1; j < blk_len; j++) {
      tmp *= u[gd[k + j] - 1];
    }
    v[dg[k] - 1] = tmp;
  }
  
  if (o < 0) {
    for (int i = ((abs(o) - 1) + idx); i < m ; i += str) {
      v[dg[i] - 1] = u[gd[i] - 1];
    }
  }
  else {
    if ((idx%2 == 0)) {
      for (int i = ((o - 1) + idx); i < m ; i += str) {
    T tmp = u[gd[i] - 1] * u[gd[i+1] - 1];
    v[dg[i] - 1] = tmp;
      }
    }
  }
 
}
 
template< typename T >
__global__ void gather_kernel_min(T * __restrict__ v,
                  const int m,
                  const int o,
                  const int * __restrict__ dg,
                  const T * __restrict__ u,
                  const int n,
                  const int * __restrict__ gd,
                  const int nb,
                  const int *__restrict__ b,
                  const int *__restrict__ bo) {
 
  const int idx = blockIdx.x * blockDim.x + threadIdx.x;
  const int str = blockDim.x * gridDim.x;
 
  for (int i = idx; i < nb; i += str) {
    const int blk_len = b[i];
    const int k = bo[i];
    T tmp = u[gd[k] - 1];
    for (int j = 1; j < blk_len; j++) {
      tmp = min(u[gd[k + j] - 1], tmp);
    }
    v[dg[k] - 1] = tmp;
  }
  
  if (o < 0) {
    for (int i = ((abs(o) - 1) + idx); i < m ; i += str) {
      v[dg[i] - 1] = u[gd[i] - 1];
    }
  }
  else {
    if ((idx%2 == 0)) {
      for (int i = ((o - 1) + idx); i < m ; i += str) {
    T tmp = min(u[gd[i] - 1], u[gd[i+1] - 1]);
    v[dg[i] - 1] = tmp;
      }
    }
  }
  
}
 
template< typename T >
__global__ void gather_kernel_max(T * __restrict__ v,
                  const int m,
                  const int o,
                  const int * __restrict__ dg,
                  const T * __restrict__ u,
                  const int n,
                  const int * __restrict__ gd,
                  const int nb,
                  const int *__restrict__ b,
                  const int *__restrict__ bo) {
 
  const int idx = blockIdx.x * blockDim.x + threadIdx.x;
  const int str = blockDim.x * gridDim.x;
 
  for (int i = idx; i < nb; i += str) {
    const int blk_len = b[i];
    const int k = bo[i];
    T tmp = u[gd[k] - 1];
    for (int j = 1; j < blk_len; j++) {
      tmp = max(u[gd[k + j] - 1], tmp);
    }
    v[dg[k] - 1] = tmp;
  }
  
  if (o < 0) {
    for (int i = ((abs(o) - 1) + idx); i < m ; i += str) {
      v[dg[i] - 1] = u[gd[i] - 1];
    }
  }
  else {
    if ((idx%2 == 0)) {
      for (int i = ((o - 1) + idx); i < m ; i += str) {
    T tmp = max(u[gd[i] - 1], u[gd[i+1] - 1]);
    v[dg[i] - 1] = tmp;
      }
    }
  }
  
}
 
template< typename T >
__global__ void scatter_kernel(T * __restrict__ v,
                   const int m,
                   const int * __restrict__ dg,
                   T * __restrict__ u,
                   const int n,
                   const int * __restrict__ gd,
                   const int nb,
                   const int *__restrict__ b,
                   const int *__restrict__ bo) {
  
  const int idx = blockIdx.x * blockDim.x + threadIdx.x;
  const int str = blockDim.x * gridDim.x;
  
  for (int i = idx; i < nb; i += str) {
    const int blk_len = b[i];
    const int k = bo[i];
    T tmp = v[dg[k] - 1];
    for (int j = 0; j < blk_len; j++) {
      u[gd[k + j] - 1] = tmp;
    }      
  }
  int facet_offset = 0;
  if ( nb > 0) {
    facet_offset = bo[nb - 1] + b[nb - 1];
  }
 
  for (int i = (facet_offset + idx); i < m; i += str) {
    u[gd[i] - 1] = v[dg[i] - 1];
  }
  
}
 
template< typename T >
__global__ void gs_pack_kernel(const T * __restrict__ u,
                   T * __restrict__ buf,
                   const int32_t * __restrict__ dof,
                   const int n) {
 
  const int j = threadIdx.x + blockDim.x * blockIdx.x;
 
  if (j >= n)
    return;
 
  buf[j] = u[dof[j]-1];
}
 
 
template< typename T >
__global__ void gs_unpack_add_kernel(T * __restrict__ u,
                     const T * __restrict__ buf,
                     const int32_t * __restrict__ dof,
                     const int n) {
 
  const int j = threadIdx.x + blockDim.x * blockIdx.x;
 
  if (j >= n)
    return;
 
  const int32_t idx = dof[j];
  const T val = buf[j];
  if (idx < 0) {
#if __CUDA_ARCH__ >= 600
    atomicAdd(&u[-idx-1], val);
#endif
  } else {
    u[idx-1] += val;
  }
}
 
template<typename T>
__device__ T atomicMinFloat(T* address, T val);
 
template<>
__device__ float atomicMinFloat<float>(float* address, float val) {
    float old;
    old = !signbit(val) ? __int_as_float(atomicMin((int*)address, __float_as_int(val))) :
        __uint_as_float(atomicMax((unsigned int*)address, __float_as_uint(val)));
 
    return old;
}
 
template<>
__device__ double atomicMinFloat<double>(double* address, double val) {
    double old;
#if __CUDA_ARCH__ >= 600
    old = !signbit(val) ? __longlong_as_double(atomicMin((unsigned long long*)address, 
                                            __double_as_longlong(val))) :
          __longlong_as_double(atomicMax((unsigned long long*)address, 
                                            __double_as_longlong(val)));
#endif
    return old;
}
 
template< typename T >
__global__ void gs_unpack_min_kernel(T * __restrict__ u,
                                     const T * __restrict__ buf,
                                     const int32_t * __restrict__ dof,
                                     const int n) {
 
  const int j = threadIdx.x + blockDim.x * blockIdx.x;
 
  if (j >= n)
    return;
 
  const int32_t idx = dof[j];
  const T val = buf[j];
 
  if (idx < 0) {
    // Use atomicMin for shared nodal points
    atomicMinFloat(&u[-idx-1], val);
  } else {
    // Directly compute min for nodal points on edges
    u[idx-1] = min(u[idx-1], val);
  }
}
 
template<typename T>
__device__ T atomicMaxFloat(T* address, T val);
 
template<>
__device__ float atomicMaxFloat<float>(float* address, float val) {
    float old;
    old = !signbit(val) ? __int_as_float(atomicMax((int*)address, __float_as_int(val))) :
        __uint_as_float(atomicMin((unsigned int*)address, __float_as_uint(val)));
    return old;
}
 
template<>
__device__ double atomicMaxFloat<double>(double* address, double val) {
    double old;
#if __CUDA_ARCH__ >= 600
    old = !signbit(val) ? __longlong_as_double(atomicMax((unsigned long long*)address, 
                                                __double_as_longlong(val))) :
          __longlong_as_double(atomicMin((unsigned long long*)address, 
                                                __double_as_longlong(val)));
#endif
    return old;
}
 
template< typename T >
__global__ void gs_unpack_max_kernel(T * __restrict__ u,
                                     const T * __restrict__ buf,
                                     const int32_t * __restrict__ dof,
                                     const int n) {
 
  const int j = threadIdx.x + blockDim.x * blockIdx.x;
 
  if (j >= n)
    return;
 
  const int32_t idx = dof[j];
  const T val = buf[j];
 
  if (idx < 0) {
    // Use atomicMax for shared nodal points
    atomicMaxFloat(&u[-idx-1], val);
  } else {
    // Directly compute min for nodal points on edges
    u[idx-1] = max(u[idx-1], val);
  }
}
 
#endif // __GS_GS_KERNELS__