CudaNonbondedUtilities.cpp 23.5 KB
Newer Older
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
/* -------------------------------------------------------------------------- *
 *                                   OpenMM                                   *
 * -------------------------------------------------------------------------- *
 * This is part of the OpenMM molecular simulation toolkit originating from   *
 * Simbios, the NIH National Center for Physics-Based Simulation of           *
 * Biological Structures at Stanford, funded under the NIH Roadmap for        *
 * Medical Research, grant U54 GM072970. See https://simtk.org.               *
 *                                                                            *
 * Portions copyright (c) 2009-2012 Stanford University and the Authors.      *
 * Authors: Peter Eastman                                                     *
 * Contributors:                                                              *
 *                                                                            *
 * This program is free software: you can redistribute it and/or modify       *
 * it under the terms of the GNU Lesser General Public License as published   *
 * by the Free Software Foundation, either version 3 of the License, or       *
 * (at your option) any later version.                                        *
 *                                                                            *
 * This program is distributed in the hope that it will be useful,            *
 * but WITHOUT ANY WARRANTY; without even the implied warranty of             *
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the              *
 * GNU Lesser General Public License for more details.                        *
 *                                                                            *
 * You should have received a copy of the GNU Lesser General Public License   *
 * along with this program.  If not, see <http://www.gnu.org/licenses/>.      *
 * -------------------------------------------------------------------------- */

#include "openmm/OpenMMException.h"
#include "CudaNonbondedUtilities.h"
#include "CudaArray.h"
#include "CudaKernelSources.h"
#include "CudaExpressionUtilities.h"
#include <map>
#include <set>
#include <utility>

using namespace OpenMM;
using namespace std;

#define CHECK_RESULT(result) \
    if (result != CUDA_SUCCESS) { \
        std::stringstream m; \
        m<<errorMessage<<": "<<context.getErrorString(result)<<" ("<<result<<")"<<" at "<<__FILE__<<":"<<__LINE__; \
        throw OpenMMException(m.str());\
    }

CudaNonbondedUtilities::CudaNonbondedUtilities(CudaContext& context) : context(context), cutoff(-1.0), useCutoff(false), anyExclusions(false),
        exclusionIndices(NULL), exclusionRowIndices(NULL), exclusions(NULL), interactingTiles(NULL), interactionFlags(NULL),
48
        interactionCount(NULL), blockCenter(NULL), blockBoundingBox(NULL), nonbondedForceGroup(0) {
49
50
51
52
53
    // Decide how many thread blocks to use.

    string errorMessage = "Error initializing nonbonded utilities";
    int multiprocessors;
    CHECK_RESULT(cuDeviceGetAttribute(&multiprocessors, CU_DEVICE_ATTRIBUTE_MULTIPROCESSOR_COUNT, context.getDevice()));
54
    numForceThreadBlocks = 3*multiprocessors;
55
    forceThreadBlockSize = (context.getComputeCapability() < 2.0 ? 128 : 256);
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
}

CudaNonbondedUtilities::~CudaNonbondedUtilities() {
    if (exclusionIndices != NULL)
        delete exclusionIndices;
    if (exclusionRowIndices != NULL)
        delete exclusionRowIndices;
    if (exclusions != NULL)
        delete exclusions;
    if (interactingTiles != NULL)
        delete interactingTiles;
    if (interactionFlags != NULL)
        delete interactionFlags;
    if (interactionCount != NULL)
        delete interactionCount;
    if (blockCenter != NULL)
        delete blockCenter;
    if (blockBoundingBox != NULL)
        delete blockBoundingBox;
}

void CudaNonbondedUtilities::addInteraction(bool usesCutoff, bool usesPeriodic, bool usesExclusions, double cutoffDistance, const vector<vector<int> >& exclusionList, const string& kernel, int forceGroup) {
    if (cutoff != -1.0) {
        if (usesCutoff != useCutoff)
            throw OpenMMException("All Forces must agree on whether to use a cutoff");
        if (usesPeriodic != usePeriodic)
            throw OpenMMException("All Forces must agree on whether to use periodic boundary conditions");
        if (cutoffDistance != cutoff)
            throw OpenMMException("All Forces must use the same cutoff distance");
        if (forceGroup != nonbondedForceGroup)
            throw OpenMMException("All nonbonded forces must be in the same force group");
    }
    if (usesExclusions)
        requestExclusions(exclusionList);
    useCutoff = usesCutoff;
    usePeriodic = usesPeriodic;
    cutoff = cutoffDistance;
    kernelSource += kernel+"\n";
    nonbondedForceGroup = forceGroup;
}

void CudaNonbondedUtilities::addParameter(const ParameterInfo& parameter) {
    parameters.push_back(parameter);
}

void CudaNonbondedUtilities::addArgument(const ParameterInfo& parameter) {
    arguments.push_back(parameter);
}

void CudaNonbondedUtilities::requestExclusions(const vector<vector<int> >& exclusionList) {
    if (anyExclusions) {
        bool sameExclusions = (exclusionList.size() == atomExclusions.size());
        for (int i = 0; i < (int) exclusionList.size() && sameExclusions; i++) {
109
110
111
112
113
114
115
             if (exclusionList[i].size() != atomExclusions[i].size())
                 sameExclusions = false;
            set<int> expectedExclusions;
            expectedExclusions.insert(atomExclusions[i].begin(), atomExclusions[i].end());
            for (int j = 0; j < (int) exclusionList[i].size(); j++)
                if (expectedExclusions.find(exclusionList[i][j]) == expectedExclusions.end())
                     sameExclusions = false;
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
        }
        if (!sameExclusions)
            throw OpenMMException("All Forces must have identical exceptions");
    }
    else {
        atomExclusions = exclusionList;
        anyExclusions = true;
    }
}

void CudaNonbondedUtilities::initialize(const System& system) {
    if (cutoff == -1.0)
        return; // There are no nonbonded interactions in the System.
    string errorMessage = "Error initializing nonbonded utilities";    
    if (atomExclusions.size() == 0) {
        // No exclusions were specifically requested, so just mark every atom as not interacting with itself.
        
        atomExclusions.resize(context.getNumAtoms());
        for (int i = 0; i < (int) atomExclusions.size(); i++)
            atomExclusions[i].push_back(i);
    }

    // Create the list of tiles.

    numAtoms = context.getNumAtoms();
    int numAtomBlocks = context.getNumAtomBlocks();
    int totalTiles = numAtomBlocks*(numAtomBlocks+1)/2;
    int numContexts = context.getPlatformData().contexts.size();
    startTileIndex = context.getContextIndex()*totalTiles/numContexts;
    int endTileIndex = (context.getContextIndex()+1)*totalTiles/numContexts;
    numTiles = endTileIndex-startTileIndex;

    // Build a list of indices for the tiles with exclusions.

    set<pair<int, int> > tilesWithExclusions;
    for (int atom1 = 0; atom1 < (int) atomExclusions.size(); ++atom1) {
        int x = atom1/CudaContext::TileSize;
        for (int j = 0; j < (int) atomExclusions[atom1].size(); ++j) {
            int atom2 = atomExclusions[atom1][j];
            int y = atom2/CudaContext::TileSize;
            tilesWithExclusions.insert(make_pair(max(x, y), min(x, y)));
        }
    }
    if (context.getPaddedNumAtoms() > context.getNumAtoms()) {
        for (int i = 0; i < numAtomBlocks; ++i)
            tilesWithExclusions.insert(make_pair(numAtomBlocks-1, i));
    }
    vector<unsigned int> exclusionRowIndicesVec(numAtomBlocks+1, 0);
    vector<unsigned int> exclusionIndicesVec;
    int currentRow = 0;
    for (set<pair<int, int> >::const_iterator iter = tilesWithExclusions.begin(); iter != tilesWithExclusions.end(); ++iter) {
        while (iter->first != currentRow)
            exclusionRowIndicesVec[++currentRow] = exclusionIndicesVec.size();
        exclusionIndicesVec.push_back(iter->second);
    }
    exclusionRowIndicesVec[++currentRow] = exclusionIndicesVec.size();
172
173
    exclusionIndices = CudaArray::create<unsigned int>(context, exclusionIndicesVec.size(), "exclusionIndices");
    exclusionRowIndices = CudaArray::create<unsigned int>(context, exclusionRowIndicesVec.size(), "exclusionRowIndices");
174
175
176
177
178
    exclusionIndices->upload(exclusionIndicesVec);
    exclusionRowIndices->upload(exclusionRowIndicesVec);

    // Record the exclusion data.

179
    exclusions = CudaArray::create<unsigned int>(context, tilesWithExclusions.size()*CudaContext::TileSize, "exclusions");
180
    vector<unsigned int> exclusionVec(exclusions->getSize(), 0xFFFFFFFF);
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
    for (int atom1 = 0; atom1 < (int) atomExclusions.size(); ++atom1) {
        int x = atom1/CudaContext::TileSize;
        int offset1 = atom1-x*CudaContext::TileSize;
        for (int j = 0; j < (int) atomExclusions[atom1].size(); ++j) {
            int atom2 = atomExclusions[atom1][j];
            int y = atom2/CudaContext::TileSize;
            int offset2 = atom2-y*CudaContext::TileSize;
            if (x > y) {
                int index = findExclusionIndex(x, y, exclusionIndicesVec, exclusionRowIndicesVec);
                exclusionVec[index+offset1] &= 0xFFFFFFFF-(1<<offset2);
            }
            else {
                int index = findExclusionIndex(y, x, exclusionIndicesVec, exclusionRowIndicesVec);
                exclusionVec[index+offset2] &= 0xFFFFFFFF-(1<<offset1);
            }
        }
    }

    // Mark all interactions that involve a padding atom as being excluded.

    for (int atom1 = context.getNumAtoms(); atom1 < context.getPaddedNumAtoms(); ++atom1) {
        int x = atom1/CudaContext::TileSize;
        int offset1 = atom1-x*CudaContext::TileSize;
        for (int atom2 = 0; atom2 < context.getPaddedNumAtoms(); ++atom2) {
            int y = atom2/CudaContext::TileSize;
            int offset2 = atom2-y*CudaContext::TileSize;
            if (x >= y) {
                int index = findExclusionIndex(x, y, exclusionIndicesVec, exclusionRowIndicesVec);
                exclusionVec[index+offset1] &= 0xFFFFFFFF-(1<<offset2);
            }
            if (y >= x) {
                int index = findExclusionIndex(y, x, exclusionIndicesVec, exclusionRowIndicesVec);
                exclusionVec[index+offset2] &= 0xFFFFFFFF-(1<<offset1);
            }
        }
    }
    atomExclusions.clear(); // We won't use this again, so free the memory it used
    exclusions->upload(exclusionVec);

    // Create data structures for the neighbor list.

    if (useCutoff) {
        // Select a size for the arrays that hold the neighbor list.  This estimate is intentionally very
        // high, because if it ever is too small, we have to fall back to the N^2 algorithm.

        double4 boxSize = context.getPeriodicBoxSize();
        maxTiles = (int) (numTiles*(cutoff/boxSize.x+cutoff/boxSize.y+cutoff/boxSize.z));
        if (maxTiles > numTiles)
            maxTiles = numTiles;
        if (maxTiles < 1)
            maxTiles = 1;
232
233
234
        interactingTiles = CudaArray::create<ushort2>(context, maxTiles, "interactingTiles");
        interactionFlags = CudaArray::create<unsigned int>(context, maxTiles, "interactionFlags");
        interactionCount = CudaArray::create<unsigned int>(context, 1, "interactionCount");
235
236
237
238
239
240
241
242
        if (context.getUseDoublePrecision()) {
            blockCenter = CudaArray::create<double4>(context, numAtomBlocks, "blockCenter");
            blockBoundingBox = CudaArray::create<double4>(context, numAtomBlocks, "blockBoundingBox");
        }
        else {
            blockCenter = CudaArray::create<float4>(context, numAtomBlocks, "blockCenter");
            blockBoundingBox = CudaArray::create<float4>(context, numAtomBlocks, "blockBoundingBox");
        }
243
244
        vector<unsigned int> count(1, 0);
        interactionCount->upload(count);
245
246
247
248
    }

    // Create kernels.

249
250
    if (kernelSource.size() > 0)
        forceKernel = createInteractionKernel(kernelSource, parameters, arguments, true, true);
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
    if (useCutoff) {
        map<string, string> defines;
        defines["NUM_BLOCKS"] = context.intToString(context.getNumAtomBlocks());
        defines["CUTOFF_SQUARED"] = context.doubleToString(cutoff*cutoff);
        if (usePeriodic)
            defines["USE_PERIODIC"] = "1";
        CUmodule interactingBlocksProgram = context.createModule(CudaKernelSources::vectorOps+CudaKernelSources::findInteractingBlocks, defines);
        findBlockBoundsKernel = context.getKernel(interactingBlocksProgram, "findBlockBounds");
        findBlockBoundsArgs.push_back(&numAtoms);
        findBlockBoundsArgs.push_back(context.getPeriodicBoxSizePointer());
        findBlockBoundsArgs.push_back(context.getInvPeriodicBoxSizePointer());
        findBlockBoundsArgs.push_back(&context.getPosq().getDevicePointer());
        findBlockBoundsArgs.push_back(&blockCenter->getDevicePointer());
        findBlockBoundsArgs.push_back(&blockBoundingBox->getDevicePointer());
        findBlockBoundsArgs.push_back(&interactionCount->getDevicePointer());
        findInteractingBlocksKernel = context.getKernel(interactingBlocksProgram, "findBlocksWithInteractions");
        findInteractingBlocksArgs.push_back(context.getPeriodicBoxSizePointer());
        findInteractingBlocksArgs.push_back(context.getInvPeriodicBoxSizePointer());
        findInteractingBlocksArgs.push_back(&blockCenter->getDevicePointer());
        findInteractingBlocksArgs.push_back(&blockBoundingBox->getDevicePointer());
        findInteractingBlocksArgs.push_back(&interactionCount->getDevicePointer());
        findInteractingBlocksArgs.push_back(&interactingTiles->getDevicePointer());
        findInteractingBlocksArgs.push_back(&interactionFlags->getDevicePointer());
        findInteractingBlocksArgs.push_back(&context.getPosq().getDevicePointer());
        findInteractingBlocksArgs.push_back(&maxTiles);
        findInteractingBlocksArgs.push_back(&startTileIndex);
        findInteractingBlocksArgs.push_back(&numTiles);
        findInteractionsWithinBlocksKernel = context.getKernel(interactingBlocksProgram, "findInteractionsWithinBlocks");
        findInteractionsWithinBlocksArgs.push_back(context.getPeriodicBoxSizePointer());
        findInteractionsWithinBlocksArgs.push_back(context.getInvPeriodicBoxSizePointer());
        findInteractionsWithinBlocksArgs.push_back(&context.getPosq().getDevicePointer());
        findInteractionsWithinBlocksArgs.push_back(&interactingTiles->getDevicePointer());
        findInteractionsWithinBlocksArgs.push_back(&blockCenter->getDevicePointer());
        findInteractionsWithinBlocksArgs.push_back(&blockBoundingBox->getDevicePointer());
        findInteractionsWithinBlocksArgs.push_back(&interactionFlags->getDevicePointer());
        findInteractionsWithinBlocksArgs.push_back(&interactionCount->getDevicePointer());
        findInteractionsWithinBlocksArgs.push_back(&maxTiles);
    }
}

int CudaNonbondedUtilities::findExclusionIndex(int x, int y, const vector<unsigned int>& exclusionIndices, const vector<unsigned int>& exclusionRowIndices) {
292
293
    if (x < y)
        throw OpenMMException("Internal error: called findExclusionIndex with x<y");
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
    int start = exclusionRowIndices[x];
    int end = exclusionRowIndices[x+1];
    for (int i = start; i < end; i++)
        if (exclusionIndices[i] == y)
            return i*CudaContext::TileSize;
    throw OpenMMException("Internal error: exclusion in unexpected tile");
}

void CudaNonbondedUtilities::prepareInteractions() {
    if (!useCutoff)
        return;
    if (usePeriodic) {
        double4 box = context.getPeriodicBoxSize();
        double minAllowedSize = 1.999999*cutoff;
        if (box.x < minAllowedSize || box.y < minAllowedSize || box.z < minAllowedSize)
            throw OpenMMException("The periodic box size has decreased to less than twice the nonbonded cutoff.");
    }

    // Compute the neighbor list.

    context.executeKernel(findBlockBoundsKernel, &findBlockBoundsArgs[0], context.getNumAtoms());
    context.executeKernel(findInteractingBlocksKernel, &findInteractingBlocksArgs[0], context.getNumAtoms());
    context.executeKernel(findInteractionsWithinBlocksKernel, &findInteractionsWithinBlocksArgs[0], context.getNumAtoms(), 128);
}

void CudaNonbondedUtilities::computeInteractions() {
320
    if (kernelSource.size() > 0)
321
322
323
324
325
326
        context.executeKernel(forceKernel, &forceArgs[0], numForceThreadBlocks*forceThreadBlockSize, forceThreadBlockSize);
}

void CudaNonbondedUtilities::updateNeighborListSize() {
    if (!useCutoff)
        return;
327
    unsigned int* pinnedInteractionCount = (unsigned int*) context.getPinnedBuffer();
328
329
330
331
332
333
334
335
336
337
338
339
    interactionCount->download(pinnedInteractionCount);
    if (pinnedInteractionCount[0] <= (unsigned int) maxTiles)
        return;

    // The most recent timestep had too many interactions to fit in the arrays.  Make the arrays bigger to prevent
    // this from happening in the future.

    maxTiles = (int) (1.2*pinnedInteractionCount[0]);
    int numTiles = context.getNumAtomBlocks()*(context.getNumAtomBlocks()+1)/2;
    if (maxTiles > numTiles)
        maxTiles = numTiles;
    delete interactingTiles;
340
    interactingTiles = CudaArray::create<ushort2>(context, maxTiles, "interactingTiles");
341
342
343
    forceArgs[8] = &interactingTiles->getDevicePointer();
    findInteractingBlocksArgs[5] = &interactingTiles->getDevicePointer();
    delete interactionFlags;
344
    interactionFlags = CudaArray::create<unsigned int>(context, maxTiles, "interactionFlags");
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
    forceArgs[13] = &interactionFlags->getDevicePointer();
    findInteractingBlocksArgs[6] = &interactionFlags->getDevicePointer();
    findInteractionsWithinBlocksArgs[3] = &interactingTiles->getDevicePointer();
    findInteractionsWithinBlocksArgs[6] = &interactionFlags->getDevicePointer();
}

void CudaNonbondedUtilities::setTileRange(int startTileIndex, int numTiles) {
    this->startTileIndex = startTileIndex;
    this->numTiles = numTiles;
}

CUfunction CudaNonbondedUtilities::createInteractionKernel(const string& source, vector<ParameterInfo>& params, vector<ParameterInfo>& arguments, bool useExclusions, bool isSymmetric) {
    map<string, string> replacements;
    replacements["COMPUTE_INTERACTION"] = source;
    const string suffixes[] = {"x", "y", "z", "w"};
    stringstream localData;
    int localDataSize = 0;
    for (int i = 0; i < (int) params.size(); i++) {
        if (params[i].getNumComponents() == 1)
            localData<<params[i].getType()<<" "<<params[i].getName()<<";\n";
        else {
            for (int j = 0; j < params[i].getNumComponents(); ++j)
                localData<<params[i].getComponentType()<<" "<<params[i].getName()<<"_"<<suffixes[j]<<";\n";
        }
        localDataSize += params[i].getSize();
    }
    replacements["ATOM_PARAMETER_DATA"] = localData.str();
    stringstream args;
    for (int i = 0; i < (int) params.size(); i++) {
        args << ", const ";
        args << params[i].getType();
        args << "* __restrict__ global_";
        args << params[i].getName();
    }
    for (int i = 0; i < (int) arguments.size(); i++) {
        args << ", const ";
        args << arguments[i].getType();
        args << "* __restrict__ ";
        args << arguments[i].getName();
    }
    replacements["PARAMETER_ARGUMENTS"] = args.str();
    stringstream loadLocal1;
    for (int i = 0; i < (int) params.size(); i++) {
        if (params[i].getNumComponents() == 1) {
            loadLocal1<<"localData[localAtomIndex]."<<params[i].getName()<<" = "<<params[i].getName()<<"1;\n";
        }
        else {
            for (int j = 0; j < params[i].getNumComponents(); ++j)
                loadLocal1<<"localData[localAtomIndex]."<<params[i].getName()<<"_"<<suffixes[j]<<" = "<<params[i].getName()<<"1."<<suffixes[j]<<";\n";
        }
    }
    replacements["LOAD_LOCAL_PARAMETERS_FROM_1"] = loadLocal1.str();
    stringstream loadLocal2;
    for (int i = 0; i < (int) params.size(); i++) {
        if (params[i].getNumComponents() == 1) {
            loadLocal2<<"localData[localAtomIndex]."<<params[i].getName()<<" = global_"<<params[i].getName()<<"[j];\n";
        }
        else {
            loadLocal2<<params[i].getType()<<" temp_"<<params[i].getName()<<" = global_"<<params[i].getName()<<"[j];\n";
            for (int j = 0; j < params[i].getNumComponents(); ++j)
                loadLocal2<<"localData[localAtomIndex]."<<params[i].getName()<<"_"<<suffixes[j]<<" = temp_"<<params[i].getName()<<"."<<suffixes[j]<<";\n";
        }
    }
    replacements["LOAD_LOCAL_PARAMETERS_FROM_GLOBAL"] = loadLocal2.str();
    stringstream load1;
    for (int i = 0; i < (int) params.size(); i++) {
        load1 << params[i].getType();
        load1 << " ";
        load1 << params[i].getName();
        load1 << "1 = global_";
        load1 << params[i].getName();
        load1 << "[atom1];\n";
    }
    replacements["LOAD_ATOM1_PARAMETERS"] = load1.str();
    stringstream load2j;
    for (int i = 0; i < (int) params.size(); i++) {
        if (params[i].getNumComponents() == 1) {
            load2j<<params[i].getType()<<" "<<params[i].getName()<<"2 = localData[atom2]."<<params[i].getName()<<";\n";
        }
        else {
            load2j<<params[i].getType()<<" "<<params[i].getName()<<"2 = make_"<<params[i].getType()<<"(";
            for (int j = 0; j < params[i].getNumComponents(); ++j) {
                if (j > 0)
                    load2j<<", ";
                load2j<<"localData[atom2]."<<params[i].getName()<<"_"<<suffixes[j];
            }
            load2j<<");\n";
        }
    }
    replacements["LOAD_ATOM2_PARAMETERS"] = load2j.str();
    map<string, string> defines;
    if (useCutoff)
        defines["USE_CUTOFF"] = "1";
    if (usePeriodic)
        defines["USE_PERIODIC"] = "1";
    if (useExclusions)
        defines["USE_EXCLUSIONS"] = "1";
    if (isSymmetric)
        defines["USE_SYMMETRIC"] = "1";
    defines["THREAD_BLOCK_SIZE"] = context.intToString(forceThreadBlockSize);
    defines["CUTOFF_SQUARED"] = context.doubleToString(cutoff*cutoff);
    defines["NUM_ATOMS"] = context.intToString(context.getNumAtoms());
    defines["PADDED_NUM_ATOMS"] = context.intToString(context.getPaddedNumAtoms());
    defines["NUM_BLOCKS"] = context.intToString(context.getNumAtomBlocks());
449
    if ((localDataSize/4)%2 == 0 && !context.getUseDoublePrecision())
450
        defines["PARAMETER_SIZE_IS_EVEN"] = "1";
451
452
    if (context.getComputeCapability() >= 3.0 && !context.getUseDoublePrecision())
        defines["ENABLE_SHUFFLE"] = "1";
453
    CUmodule program = context.createModule(CudaKernelSources::vectorOps+context.replaceStrings(CudaKernelSources::nonbonded, replacements), defines);
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
    CUfunction kernel = context.getKernel(program, "computeNonbonded");

    // Set arguments to the Kernel.

    int index = 0;
    forceArgs.push_back(&context.getForce().getDevicePointer());
    forceArgs.push_back(&context.getEnergyBuffer().getDevicePointer());
    forceArgs.push_back(&context.getPosq().getDevicePointer());
    forceArgs.push_back(&exclusions->getDevicePointer());
    forceArgs.push_back(&exclusionIndices->getDevicePointer());
    forceArgs.push_back(&exclusionRowIndices->getDevicePointer());
    forceArgs.push_back(&startTileIndex);
    forceArgs.push_back(&numTiles);
    if (useCutoff) {
        forceArgs.push_back(&interactingTiles->getDevicePointer());
        forceArgs.push_back(&interactionCount->getDevicePointer());
        forceArgs.push_back(context.getPeriodicBoxSizePointer());
        forceArgs.push_back(context.getInvPeriodicBoxSizePointer());
        forceArgs.push_back(&maxTiles);
        forceArgs.push_back(&interactionFlags->getDevicePointer());
    }
    for (int i = 0; i < (int) params.size(); i++)
        forceArgs.push_back(&params[i].getMemory());
    for (int i = 0; i < (int) arguments.size(); i++)
        forceArgs.push_back(&arguments[i].getMemory());
    return kernel;
}