#define TILE_SIZE 32
#ifdef SUPPORTS_64_BIT_ATOMICS
#pragma OPENCL EXTENSION cl_khr_int64_base_atomics : enable
#define STORE_DERIVATIVE_1(INDEX) atom_add(&derivBuffers[offset1+(INDEX-1)*PADDED_NUM_ATOMS], (long) (deriv##INDEX##_1*0x100000000));
#define STORE_DERIVATIVE_2(INDEX) atom_add(&derivBuffers[offset2+(INDEX-1)*PADDED_NUM_ATOMS], (long) (local_deriv##INDEX[get_local_id(0)]*0x100000000));
#else
#define STORE_DERIVATIVE_1(INDEX) derivBuffers##INDEX[offset1] += deriv##INDEX##_1+tempDerivBuffer##INDEX[get_local_id(0)+TILE_SIZE];
#define STORE_DERIVATIVE_2(INDEX) derivBuffers##INDEX[offset2] += local_deriv##INDEX[get_local_id(0)]+local_deriv##INDEX[get_local_id(0)+TILE_SIZE];
#endif

/**
 * Compute a force based on pair interactions.
 */

__kernel __attribute__((reqd_work_group_size(WORK_GROUP_SIZE, 1, 1)))
void computeN2Energy(
#ifdef SUPPORTS_64_BIT_ATOMICS
        __global long* restrict forceBuffers,
#else
        __global real4* restrict forceBuffers,
#endif
        __global real* restrict energyBuffer, __local real4* restrict local_force,
        __global const real4* restrict posq, __local real4* restrict local_posq, __global const unsigned int* restrict exclusions, __global const unsigned int* restrict exclusionIndices,
        __global const unsigned int* restrict exclusionRowIndices, __local real4* restrict tempForceBuffer,
#ifdef USE_CUTOFF
        __global const ushort2* restrict tiles, __global const unsigned int* restrict interactionCount, real4 periodicBoxSize, real4 invPeriodicBoxSize, unsigned int maxTiles
#else
        unsigned int numTiles
#endif
        PARAMETER_ARGUMENTS) {
#ifdef USE_CUTOFF
    unsigned int numTiles = interactionCount[0];
    unsigned int pos = get_group_id(0)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0);
    unsigned int end = (get_group_id(0)+1)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0);
#else
    unsigned int pos = get_group_id(0)*numTiles/get_num_groups(0);
    unsigned int end = (get_group_id(0)+1)*numTiles/get_num_groups(0);
#endif
    real energy = 0;
    unsigned int lasty = 0xFFFFFFFF;
    __local unsigned int exclusionRange[2];
    __local int exclusionIndex[1];
    DECLARE_TEMP_BUFFERS

    while (pos < end) {
        // Extract the coordinates of this tile
        unsigned int x, y;
#ifdef USE_CUTOFF
        if (numTiles <= maxTiles) {
            ushort2 tileIndices = tiles[pos];
            x = tileIndices.x;
            y = tileIndices.y;
        }
        else
#endif
        {
            y = (unsigned int) floor(NUM_BLOCKS+0.5f-SQRT((NUM_BLOCKS+0.5f)*(NUM_BLOCKS+0.5f)-2*pos));
            x = (pos-y*NUM_BLOCKS+y*(y+1)/2);
            if (x < y || x >= NUM_BLOCKS) { // Occasionally happens due to roundoff error.
                y += (x < y ? -1 : 1);
                x = (pos-y*NUM_BLOCKS+y*(y+1)/2);
            }
        }
        unsigned int baseLocalAtom = (get_local_id(0) < TILE_SIZE ? 0 : TILE_SIZE/2);
        unsigned int tgx = get_local_id(0) & (TILE_SIZE-1);
        unsigned int forceBufferOffset = (tgx < TILE_SIZE/2 ? 0 : TILE_SIZE);
        unsigned int atom1 = x*TILE_SIZE + tgx;
        real4 force = 0;
        DECLARE_ATOM1_DERIVATIVES
        real4 posq1 = posq[atom1];
        LOAD_ATOM1_PARAMETERS

        // Locate the exclusion data for this tile.

#ifdef USE_EXCLUSIONS
        if (get_local_id(0) < 2)
            exclusionRange[get_local_id(0)] = exclusionRowIndices[x+get_local_id(0)];
        if (tgx == 0)
            exclusionIndex[0] = -1;
        barrier(CLK_LOCAL_MEM_FENCE);
        for (int i = exclusionRange[0]+tgx; i < exclusionRange[1]; i += TILE_SIZE)
            if (exclusionIndices[i] == y)
                exclusionIndex[0] = i*TILE_SIZE;
        barrier(CLK_LOCAL_MEM_FENCE);
        bool hasExclusions = (exclusionIndex[0] > -1);
#endif
        if (x == y) {
            // This tile is on the diagonal.

            const unsigned int localAtomIndex = get_local_id(0);
            local_posq[localAtomIndex] = posq1;
            LOAD_LOCAL_PARAMETERS_FROM_1
            barrier(CLK_LOCAL_MEM_FENCE);
#ifdef USE_EXCLUSIONS
            unsigned int excl = exclusions[exclusionIndex[0]+tgx] >> baseLocalAtom;
#endif
            for (unsigned int j = 0; j < TILE_SIZE/2; j++) {
#ifdef USE_EXCLUSIONS
                bool isExcluded = !(excl & 0x1);
#endif
                int atom2 = baseLocalAtom+j;
                real4 posq2 = local_posq[atom2];
                real4 delta = (real4) (posq2.xyz - posq1.xyz, 0);
#ifdef USE_PERIODIC
                delta.x -= floor(delta.x*invPeriodicBoxSize.x+0.5f)*periodicBoxSize.x;
                delta.y -= floor(delta.y*invPeriodicBoxSize.y+0.5f)*periodicBoxSize.y;
                delta.z -= floor(delta.z*invPeriodicBoxSize.z+0.5f)*periodicBoxSize.z;
#endif
                real r2 = delta.x*delta.x + delta.y*delta.y + delta.z*delta.z;
#ifdef USE_CUTOFF
                if (r2 < CUTOFF_SQUARED) {
#endif
                real invR = RSQRT(r2);
                real r = RECIP(invR);
                LOAD_ATOM2_PARAMETERS
                atom2 = y*TILE_SIZE+baseLocalAtom+j;
                real dEdR = 0;
                real tempEnergy = 0;
                if (atom1 < NUM_ATOMS && atom2 < NUM_ATOMS && atom1 != atom2) {
                    COMPUTE_INTERACTION
                    dEdR /= -r;
                }
                energy += 0.5f*tempEnergy;
                delta.xyz *= dEdR;
                force.xyz -= delta.xyz;
#ifdef USE_CUTOFF
                }
#endif
#ifdef USE_EXCLUSIONS
                excl >>= 1;
#endif
            }

            // Sum the forces and write results.

            if (get_local_id(0) >= TILE_SIZE) {
                tempForceBuffer[get_local_id(0)] = force;
                SET_TEMP_BUFFERS
            }
            barrier(CLK_LOCAL_MEM_FENCE);
            if (get_local_id(0) < TILE_SIZE) {
#ifdef SUPPORTS_64_BIT_ATOMICS
                const unsigned int offset1 = x*TILE_SIZE + tgx;
                atom_add(&forceBuffers[offset1], (long) ((force.x + tempForceBuffer[get_local_id(0)+TILE_SIZE].x)*0x100000000));
                atom_add(&forceBuffers[offset1+PADDED_NUM_ATOMS], (long) ((force.y + tempForceBuffer[get_local_id(0)+TILE_SIZE].y)*0x100000000));
                atom_add(&forceBuffers[offset1+2*PADDED_NUM_ATOMS], (long) ((force.z + tempForceBuffer[get_local_id(0)+TILE_SIZE].z)*0x100000000));
#else
#ifdef USE_OUTPUT_BUFFER_PER_BLOCK
                const unsigned int offset1 = x*TILE_SIZE + tgx + x*PADDED_NUM_ATOMS;
#else
                const unsigned int offset1 = x*TILE_SIZE + tgx + get_group_id(0)*PADDED_NUM_ATOMS;
#endif
                forceBuffers[offset1].xyz += force.xyz + tempForceBuffer[get_local_id(0)+TILE_SIZE].xyz;
#endif
                STORE_DERIVATIVES_1
            }
        }
        else {
            // This is an off-diagonal tile.

            const unsigned int localAtomIndex = get_local_id(0);
            if (lasty != y && get_local_id(0) < TILE_SIZE) {
                unsigned int j = y*TILE_SIZE + tgx;
                local_posq[localAtomIndex] = posq[j];
                LOAD_LOCAL_PARAMETERS_FROM_GLOBAL
            }
            local_force[localAtomIndex] = 0;
            CLEAR_LOCAL_DERIVATIVES
            barrier(CLK_LOCAL_MEM_FENCE);

            // Compute the full set of interactions in this tile.

#ifdef USE_EXCLUSIONS
            unsigned int excl = (hasExclusions ? exclusions[exclusionIndex[0]+tgx] : 0xFFFFFFFF);
            excl = (excl >> baseLocalAtom) & 0xFFFF;
            excl += excl << 16;
            excl = (excl >> tgx) | (excl << (TILE_SIZE - tgx));
#endif
            unsigned int tj = tgx%(TILE_SIZE/2);
            for (unsigned int j = 0; j < TILE_SIZE/2; j++) {
#ifdef USE_EXCLUSIONS
                bool isExcluded = !(excl & 0x1);
#endif
                int atom2 = baseLocalAtom+tj;
                real4 posq2 = local_posq[atom2];
                real4 delta = (real4) (posq2.xyz - posq1.xyz, 0);
#ifdef USE_PERIODIC
                delta.x -= floor(delta.x*invPeriodicBoxSize.x+0.5f)*periodicBoxSize.x;
                delta.y -= floor(delta.y*invPeriodicBoxSize.y+0.5f)*periodicBoxSize.y;
                delta.z -= floor(delta.z*invPeriodicBoxSize.z+0.5f)*periodicBoxSize.z;
#endif
                real r2 = delta.x*delta.x + delta.y*delta.y + delta.z*delta.z;
#ifdef USE_CUTOFF
                if (r2 < CUTOFF_SQUARED) {
#endif
                real invR = RSQRT(r2);
                real r = RECIP(invR);
                LOAD_ATOM2_PARAMETERS
                atom2 = y*TILE_SIZE+baseLocalAtom+tj;
                real dEdR = 0;
                real tempEnergy = 0;
                if (atom1 < NUM_ATOMS && atom2 < NUM_ATOMS) {
                    COMPUTE_INTERACTION
                    dEdR /= -r;
                }
                energy += tempEnergy;
                delta.xyz *= dEdR;
                force.xyz -= delta.xyz;
                atom2 = baseLocalAtom+tj+forceBufferOffset;
                local_force[baseLocalAtom+tj+forceBufferOffset].xyz += delta.xyz;
                RECORD_DERIVATIVE_2
#ifdef USE_CUTOFF
                }
#endif
                barrier(CLK_LOCAL_MEM_FENCE);
#ifdef USE_EXCLUSIONS
                excl >>= 1;
#endif
                tj = (tj+1)%(TILE_SIZE/2);
            }

            // Sum the forces and write results.

            if (get_local_id(0) >= TILE_SIZE) {
                tempForceBuffer[get_local_id(0)] = force;
                SET_TEMP_BUFFERS
            }
            barrier(CLK_LOCAL_MEM_FENCE);
            if (get_local_id(0) < TILE_SIZE) {
#ifdef SUPPORTS_64_BIT_ATOMICS
                const unsigned int offset1 = x*TILE_SIZE + tgx;
                const unsigned int offset2 = y*TILE_SIZE + tgx;
                atom_add(&forceBuffers[offset1], (long) ((force.x+tempForceBuffer[get_local_id(0)+TILE_SIZE].x)*0x100000000));
                atom_add(&forceBuffers[offset1+PADDED_NUM_ATOMS], (long) ((force.y+tempForceBuffer[get_local_id(0)+TILE_SIZE].y)*0x100000000));
                atom_add(&forceBuffers[offset1+2*PADDED_NUM_ATOMS], (long) ((force.z+tempForceBuffer[get_local_id(0)+TILE_SIZE].z)*0x100000000));
                atom_add(&forceBuffers[offset2], (long) ((local_force[get_local_id(0)].x+local_force[get_local_id(0)+TILE_SIZE].x)*0x100000000));
                atom_add(&forceBuffers[offset2+PADDED_NUM_ATOMS], (long) ((local_force[get_local_id(0)].y+local_force[get_local_id(0)+TILE_SIZE].y)*0x100000000));
                atom_add(&forceBuffers[offset2+2*PADDED_NUM_ATOMS], (long) ((local_force[get_local_id(0)].z+local_force[get_local_id(0)+TILE_SIZE].z)*0x100000000));
#else
#ifdef USE_OUTPUT_BUFFER_PER_BLOCK
                const unsigned int offset1 = x*TILE_SIZE + tgx + y*PADDED_NUM_ATOMS;
                const unsigned int offset2 = y*TILE_SIZE + tgx + x*PADDED_NUM_ATOMS;
#else
                const unsigned int offset1 = x*TILE_SIZE + tgx + get_group_id(0)*PADDED_NUM_ATOMS;
                const unsigned int offset2 = y*TILE_SIZE + tgx + get_group_id(0)*PADDED_NUM_ATOMS;
#endif
                forceBuffers[offset1].xyz += force.xyz+tempForceBuffer[get_local_id(0)+TILE_SIZE].xyz;
                forceBuffers[offset2].xyz += local_force[get_local_id(0)].xyz+local_force[get_local_id(0)+TILE_SIZE].xyz;
#endif
                STORE_DERIVATIVES_1
                STORE_DERIVATIVES_2
            }
        }
        lasty = y;
        pos++;
    }
    energyBuffer[get_global_id(0)] += energy;
}