cdtp_kernel.h

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#ifndef __MATH_CDTP_KERNEL_H__
#define __MATH_CDTP_KERNEL_H__
/*
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*/
 
template< typename T, const int LX, const int CHUNKS >
__global__ void cdtp_kernel_1d(T * __restrict__ dtx,
                               const T * __restrict__ x,
                               const T * __restrict__ dr,
                               const T * __restrict__ ds,
                               const T * __restrict__ dt,
                               const T * __restrict__ dxt,
                               const T * __restrict__ dyt,
                               const T * __restrict__ dzt,
                               const T * __restrict__ B,
                               const T * __restrict__ jac) { 
  
  __shared__ T shdxt[LX * LX];
  __shared__ T shdyt[LX * LX];
  __shared__ T shdzt[LX * LX];
  
  __shared__ T shtar[LX * LX * LX];
  __shared__ T shtas[LX * LX * LX];
  __shared__ T shtat[LX * LX * LX];
  
  const int e = blockIdx.x;
  const int iii = threadIdx.x;
  const int nchunks = (LX * LX * LX - 1) / CHUNKS + 1;
 
  if (iii < (LX * LX)) {
    shdxt[iii] = dxt[iii];
    shdyt[iii] = dyt[iii];
    shdzt[iii] = dzt[iii];
  }
 
  int l = iii;
  while(l < (LX * LX * LX)) {
     // We can probably avoid this division by use of jacinv instead.
    T wx = (x[l + e * LX * LX * LX] * B[l + e * LX * LX * LX]) /
      jac[l + e * LX * LX * LX];
 
    shtar[l] = wx*dr[l + e * LX * LX * LX];
    shtas[l] = wx*ds[l + e * LX * LX * LX];
    shtat[l] = wx*dt[l + e * LX * LX * LX];
 
    l = l + CHUNKS;
  }
 
  __syncthreads();
  for (int n = 0; n < nchunks; n++) {
    const int ijk = iii + n * CHUNKS;
    const int jk = ijk / LX;
    const int i = ijk - jk * LX;
    const int k = jk / LX;
    const int j = jk - k * LX;
    if ( i < LX && j < LX && k < LX && ijk < LX*LX*LX) {
      T rtmp = 0.0;
      T stmp = 0.0;
      T ttmp = 0.0;
      for (int l = 0; l < LX; l++) {
        rtmp += shdxt[i + l * LX] * shtar[l+j*LX+k*LX*LX];  
        stmp += shdyt[j + l * LX] * shtas[i+l*LX + k*LX*LX];
        ttmp += shdzt[k + l * LX] * shtat[i + j*LX + l*LX*LX];
      }
      dtx[ijk + e * LX * LX * LX] = ( rtmp + stmp + ttmp );
      
    }
  }
}
 
template< typename T, const int LX >
__global__ void __launch_bounds__(LX*LX,3)
  cdtp_kernel_kstep(T * __restrict__ dtx,
                    const T * __restrict__ x,
                    const T * __restrict__ dr,
                    const T * __restrict__ ds,
                    const T * __restrict__ dt,
                    const T * __restrict__ dxt,
                    const T * __restrict__ dyt,
                    const T * __restrict__ dzt,
                    const T * __restrict__ B,
                    const T * __restrict__ jac) { 
  
  __shared__ T shdxt[LX * LX];
  __shared__ T shdyt[LX * LX];
  __shared__ T shdzt[LX * LX];
  
  __shared__ T shtar[LX * LX];
  __shared__ T shtas[LX * LX];
 
  T rtar[LX];
  T rtas[LX];
  T rtat[LX];
 
  const int e = blockIdx.x;
  const int j = threadIdx.y;
  const int i = threadIdx.x;
  const int ij = i + j * LX;
  const int ele = e*LX*LX*LX;
  
  shdxt[ij] = dxt[ij];
  shdyt[ij] = dyt[ij];
  shdzt[ij] = dzt[ij];
 
 
#pragma unroll LX
  for (int k = 0; k < LX; ++k) {
    T wx = (x[ij + k*LX*LX + ele] * B[ij + k*LX*LX + ele]) /
      jac[ij + k*LX*LX + ele];
 
    rtar[k] = wx *dr[ij + k*LX*LX + ele];
    rtas[k] = wx *ds[ij + k*LX*LX + ele];            
    rtat[k] = wx *dt[ij + k*LX*LX + ele];
  }
  
  __syncthreads();
 
#pragma unroll
  for (int k = 0; k < LX; ++k) {
    const int ijk = ij + k*LX*LX;
    T ttmp = 0.0;
    shtar[ij] = rtar[k];
    shtas[ij] = rtas[k];
    for (int l = 0; l < LX; l++) {
      ttmp += shdzt[k+l*LX] * rtat[l];
    }
    __syncthreads();
 
    T rtmp = 0.0;
    T stmp = 0.0;
#pragma unroll
    for (int l = 0; l < LX; l++) {
      rtmp += shdxt[i+l*LX] * shtar[l+j*LX];
      stmp += shdyt[j+l*LX] * shtas[i+l*LX];
    }
 
    dtx[ijk + ele] = ( rtmp + stmp + ttmp );
 
    __syncthreads();
  }
}
 
 
#endif // __MATH_CDTP_KERNEL_H__