const unsigned int TileSize = 32; const float EpsilonFactor = 138.935485f; /** * Compute nonbonded interactions. */ __kernel void computeNonbonded(int numTiles, int paddedNumAtoms, float cutoffSquared, float4 periodicBoxSize, __global float4* forceBuffers, __global float* energyBuffer, __global float4* posq, __global unsigned int* tiles, __global unsigned int* exclusions, __global unsigned int* exclusionIndices, __local float4* local_posq, __local float4* local_force, __global float2* sigmaEpsilon, __local float2* local_sigmaEpsilon) { unsigned int totalWarps = get_global_size(0)/TileSize; unsigned int warp = get_global_id(0)/TileSize; unsigned int pos = warp*numTiles/totalWarps; unsigned int end = (warp+1)*numTiles/totalWarps; float energy = 0.0f; #ifdef USE_CUTOFF float3* tempBuffer = (float3*) &sA[cSim.nonbond_threads_per_block]; #endif unsigned int lasty = 0xFFFFFFFF; while (pos < end) { // Extract tile coordinates from appropriate work unit unsigned int x = tiles[pos]; unsigned int y = ((x >> 2) & 0x7fff)*TileSize; bool hasExclusions = (x & 0x1); x = (x>>17)*TileSize; float4 apos; // Local atom x, y, z, q float4 af = 0.0f; // Local atom fx, fy, fz unsigned int tgx = get_local_id(0) & (TileSize-1); unsigned int tbx = get_local_id(0) - tgx; unsigned int tj = tgx; unsigned int i = x + tgx; apos = posq[i]; float2 a = sigmaEpsilon[i]; if (x == y) { // Handle diagonals uniquely at 50% efficiency // Read fixed atom data into registers and GRF local_posq[get_local_id(0)] = apos; local_sigmaEpsilon[get_local_id(0)] = a; apos.w *= EpsilonFactor; unsigned int xi = x/TileSize; unsigned int tile = xi+xi*paddedNumAtoms/TileSize-xi*(xi+1)/2; unsigned int excl = exclusions[exclusionIndices[tile]+tgx]; for (unsigned int j = 0; j < TileSize; j++) { bool isExcluded = !(excl & 0x1); float4 delta = (float4) (local_posq[tbx+j].xyz - apos.xyz, 0.0f); #ifdef USE_PERIODIC delta.x -= floor(delta.x/periodicBoxSize.x+0.5f)*periodicBoxSize.x; delta.y -= floor(delta.y/periodicBoxSize.y+0.5f)*periodicBoxSize.y; delta.z -= floor(delta.z/periodicBoxSize.z+0.5f)*periodicBoxSize.z; #endif float r2 = delta.x * delta.x + delta.y * delta.y + delta.z * delta.z; float invR = 1.0f / sqrt(r2); float sig = a.x + local_sigmaEpsilon[tbx+j].x; float sig2 = invR * sig; sig2 *= sig2; float sig6 = sig2 * sig2 * sig2; float eps = a.y * local_sigmaEpsilon[tbx+j].y; float dEdR = eps * (12.0f * sig6 - 6.0f) * sig6; float tempEnergy = eps * (sig6 - 1.0f) * sig6; #ifdef USE_CUTOFF dEdR += apos.w * local_posq[tbx+j].w * (invR - 2.0f * cSim.reactionFieldK * r2); tempEnergy += apos.w * local_posq[tbx+j].w * (invR + cSim.reactionFieldK * r2 - cSim.reactionFieldC); #else dEdR += apos.w * local_posq[tbx+j].w * invR; tempEnergy += apos.w * local_posq[tbx+j].w * invR; #endif dEdR *= invR * invR; #ifdef USE_CUTOFF if (isExcluded || r2 > cutoffSquared) { #else if (isExcluded) { #endif dEdR = 0.0f; tempEnergy = 0.0f; } energy += 0.5f*tempEnergy; delta.xyz *= dEdR; af.xyz -= delta.xyz; excl >>= 1; } // Write results float4 of; #ifdef USE_OUTPUT_BUFFER_PER_WARP unsigned int offset = x + tgx + warp*paddedNumAtoms; of = forceBuffers[offset]; of.xyz += af.xyz; forceBuffers[offset] = of; #else of.xyz = af.xyz; of.w = 0.0f; unsigned int offset = x + tgx + (x/TileSize) * paddedNumAtoms; forceBuffers[offset] = of; #endif } else { // 100% utilization // Read fixed atom data into registers and GRF if (lasty != y) { unsigned int j = y + tgx; float2 temp1 = sigmaEpsilon[j]; local_posq[get_local_id(0)] = posq[j]; local_sigmaEpsilon[get_local_id(0)] = sigmaEpsilon[j]; } local_force[get_local_id(0)] = 0.0f; apos.w *= EpsilonFactor; #ifdef USE_CUTOFF unsigned int flags = cSim.pInteractionFlag[pos]; if (!hasExclusions && flags != 0xFFFFFFFF) { if (flags == 0) { // No interactions in this tile. } else { // Compute only a subset of the interactions in this tile. for (unsigned int j = 0; j < TileSize; j++) { if ((flags&(1< cutoffSquared) { dEdR = 0.0f; tempEnergy = 0.0f; } #endif energy += tempEnergy; delta.xyz *= dEdR; af.xyz -= delta.xyz; tempBuffer[get_local_id(0)] = delta; // Sum the forces on atom j. if (tgx % 2 == 0) tempBuffer[get_local_id(0)].xyz += tempBuffer[get_local_id(0)+1].xyz; if (tgx % 4 == 0) tempBuffer[get_local_id(0)].xyz += tempBuffer[get_local_id(0)+2].xyz; if (tgx % 8 == 0) tempBuffer[get_local_id(0)].xyz += tempBuffer[get_local_id(0)+4].xyz; if (tgx % 16 == 0) tempBuffer[get_local_id(0)].xyz += tempBuffer[get_local_id(0)+8].xyz; if (tgx == 0) local_force[tbx+j].xyz += tempBuffer[get_local_id(0)].xyz + tempBuffer[get_local_id(0)+16].xyz; } } } } else // bExclusion #endif { // Read fixed atom data into registers and GRF unsigned int xi = x/TileSize; unsigned int yi = y/TileSize; unsigned int tile = xi+yi*paddedNumAtoms/TileSize-yi*(yi+1)/2; unsigned int excl = exclusions[exclusionIndices[tile]+tgx]; excl = (excl >> tgx) | (excl << (TileSize - tgx)); for (unsigned int j = 0; j < TileSize; j++) { bool isExcluded = !(excl & 0x1); float4 delta = (float4) (local_posq[tbx+tj].xyz - apos.xyz, 0.0f); #ifdef USE_PERIODIC delta.x -= floor(delta.x/periodicBoxSize.x+0.5f)*periodicBoxSize.x; delta.y -= floor(delta.y/periodicBoxSize.y+0.5f)*periodicBoxSize.y; delta.z -= floor(delta.z/periodicBoxSize.z+0.5f)*periodicBoxSize.z; #endif float r2 = delta.x * delta.x + delta.y * delta.y + delta.z * delta.z; float invR = 1.0f / sqrt(r2); float sig = a.x + local_sigmaEpsilon[tbx+j].x; float sig2 = invR * sig; sig2 *= sig2; float sig6 = sig2 * sig2 * sig2; float eps = a.y * local_sigmaEpsilon[tbx+j].y; float dEdR = eps * (12.0f * sig6 - 6.0f) * sig6; float tempEnergy = eps * (sig6 - 1.0f) * sig6; #ifdef USE_CUTOFF dEdR += apos.w * local_posq[tbx+j].w * (invR - 2.0f * cSim.reactionFieldK * r2); tempEnergy += apos.w * local_posq[tbx+j].w * (invR + cSim.reactionFieldK * r2 - cSim.reactionFieldC); #else dEdR += apos.w * local_posq[tbx+j].w * invR; tempEnergy += apos.w * local_posq[tbx+j].w * invR; #endif dEdR *= invR * invR; #ifdef USE_CUTOFF if (isExcluded || r2 > cutoffSquared) { #else if (isExcluded) { #endif dEdR = 0.0f; tempEnergy = 0.0f; } energy += tempEnergy; delta.xyz *= dEdR; af.xyz -= delta.xyz; local_force[tbx+tj].xyz += delta.xyz; excl >>= 1; tj = (tj + 1) & (TileSize - 1); } } // Write results float4 of; #ifdef USE_OUTPUT_BUFFER_PER_WARP unsigned int offset = x + tgx + warp*paddedNumAtoms; of = forceBuffers[offset]; of.xyz += af.xyz; forceBuffers[offset] = of; offset = y + tgx + warp*paddedNumAtoms; of = forceBuffers[offset]; of.xyz += local_foce[get_local_id(0)].xyz; forceBuffers[offset] = of; #else of.xyz = af.xyz; of.w = 0.0f; unsigned int offset = x + tgx + (y/TileSize) * paddedNumAtoms; forceBuffers[offset] = of; of = local_force[get_local_id(0)]; offset = y + tgx + (x/TileSize) * paddedNumAtoms; forceBuffers[offset] = of; #endif lasty = y; } pos++; } energyBuffer[get_global_id(0)] += energy; }