Avoid integer overflow when dealing with very large systems

platforms/cuda/src/kernels/customGBEnergyN2.cu

@@ -170,11 +170,11 @@ extern "C" __global__ void computeN2Energy(unsigned long long* __restrict__ forc
 
 #ifdef USE_CUTOFF
     unsigned int numTiles = interactionCount[0];
-    int pos = warp*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/totalWarps;
-    int end = (warp+1)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/totalWarps;
+    int pos = (int) (warp*(numTiles > maxTiles ? NUM_BLOCKS*((long long)NUM_BLOCKS+1)/2 : (long)numTiles)/totalWarps);
+    int end = (int) ((warp+1)*(numTiles > maxTiles ? NUM_BLOCKS*((long long)NUM_BLOCKS+1)/2 : (long)numTiles)/totalWarps);
 #else
-    int pos = warp*numTiles/totalWarps;
-    int end = (warp+1)*numTiles/totalWarps;
+    int pos = (int) (warp*(long long)numTiles/totalWarps);
+    int end = (int) ((warp+1)*(long long)numTiles/totalWarps);
 #endif
     int skipBase = 0;
     int currentSkipIndex = tbx;

platforms/cuda/src/kernels/customGBValueN2.cu

@@ -148,11 +148,11 @@ extern "C" __global__ void computeN2Value(const real4* __restrict__ posq, const
 
 #ifdef USE_CUTOFF
     unsigned int numTiles = interactionCount[0];
-    int pos = warp*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/totalWarps;
-    int end = (warp+1)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/totalWarps;
+    int pos = (int) (warp*(numTiles > maxTiles ? NUM_BLOCKS*((long long)NUM_BLOCKS+1)/2 : (long)numTiles)/totalWarps);
+    int end = (int) ((warp+1)*(numTiles > maxTiles ? NUM_BLOCKS*((long long)NUM_BLOCKS+1)/2 : (long)numTiles)/totalWarps);
 #else
-    int pos = warp*numTiles/totalWarps;
-    int end = (warp+1)*numTiles/totalWarps;
+    int pos = (int) (warp*(long long)numTiles/totalWarps);
+    int end = (int) ((warp+1)*(long long)numTiles/totalWarps);
 #endif
     int skipBase = 0;
     int currentSkipIndex = tbx;

platforms/cuda/src/kernels/gbsaObc1.cu

@@ -208,11 +208,11 @@ extern "C" __global__ void computeBornSum(unsigned long long* __restrict__ globa
 
 #ifdef USE_CUTOFF
     unsigned int numTiles = interactionCount[0];
-    int pos = warp*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/totalWarps;
-    int end = (warp+1)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/totalWarps;
+    int pos = (int) (warp*(numTiles > maxTiles ? NUM_BLOCKS*((long long)NUM_BLOCKS+1)/2 : (long)numTiles)/totalWarps);
+    int end = (int) ((warp+1)*(numTiles > maxTiles ? NUM_BLOCKS*((long long)NUM_BLOCKS+1)/2 : (long)numTiles)/totalWarps);
 #else
-    int pos = warp*numTiles/totalWarps;
-    int end = (warp+1)*numTiles/totalWarps;
+    int pos = (int) (warp*(long long)numTiles/totalWarps);
+    int end = (int) ((warp+1)*(long long)numTiles/totalWarps);
 #endif
     int skipBase = 0;
     int currentSkipIndex = tbx;
@@ -572,11 +572,11 @@ extern "C" __global__ void computeGBSAForce1(unsigned long long* __restrict__ fo
 
 #ifdef USE_CUTOFF
     unsigned int numTiles = interactionCount[0];
-    int pos = warp*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/totalWarps;
-    int end = (warp+1)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/totalWarps;
+    int pos = (int) (warp*(numTiles > maxTiles ? NUM_BLOCKS*((long long)NUM_BLOCKS+1)/2 : (long)numTiles)/totalWarps);
+    int end = (int) ((warp+1)*(numTiles > maxTiles ? NUM_BLOCKS*((long long)NUM_BLOCKS+1)/2 : (long)numTiles)/totalWarps);
 #else
-    int pos = warp*numTiles/totalWarps;
-    int end = (warp+1)*numTiles/totalWarps;
+    int pos = (int) (warp*(long long)numTiles/totalWarps);
+    int end = (int) ((warp+1)*(long long)numTiles/totalWarps);
 #endif
     int skipBase = 0;
     int currentSkipIndex = tbx;

platforms/cuda/src/kernels/nonbonded.cu

@@ -312,12 +312,12 @@ extern "C" __global__ void computeNonbonded(
     // of them (no cutoff).
 #ifdef USE_CUTOFF
     const unsigned int numTiles = interactionCount[0];
-    int pos = (numTiles > maxTiles ? startTileIndex+warp*numTileIndices/totalWarps : warp*numTiles/totalWarps);
-    int end = (numTiles > maxTiles ? startTileIndex+(warp+1)*numTileIndices/totalWarps : (warp+1)*numTiles/totalWarps);
+    int pos = (int) (numTiles > maxTiles ? startTileIndex+warp*(long long)numTileIndices/totalWarps : warp*(long long)numTiles/totalWarps);
+    int end = (int) (numTiles > maxTiles ? startTileIndex+(warp+1)*(long long)numTileIndices/totalWarps : (warp+1)*(long long)numTiles/totalWarps);
 #else
     const unsigned int numTiles = numTileIndices;
-    int pos = startTileIndex+warp*numTiles/totalWarps;
-    int end = startTileIndex+(warp+1)*numTiles/totalWarps;
+    int pos = (int) (startTileIndex+warp*(long long)numTiles/totalWarps);
+    int end = (int) (startTileIndex+(warp+1)*(long long)numTiles/totalWarps);
 #endif
     int skipBase = 0;
     int currentSkipIndex = tbx;

platforms/opencl/src/kernels/customGBEnergyN2.cl

@@ -180,11 +180,11 @@ __kernel void computeN2Energy(
 
 #ifdef USE_CUTOFF
     unsigned int numTiles = interactionCount[0];
-    int pos = warp*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/totalWarps;
-    int end = (warp+1)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/totalWarps;
+    int pos = (int) (warp*(numTiles > maxTiles ? NUM_BLOCKS*((long)NUM_BLOCKS+1)/2 : (long)numTiles)/totalWarps);
+    int end = (int) ((warp+1)*(numTiles > maxTiles ? NUM_BLOCKS*((long)NUM_BLOCKS+1)/2 : (long)numTiles)/totalWarps);
 #else
-    int pos = warp*numTiles/totalWarps;
-    int end = (warp+1)*numTiles/totalWarps;
+    int pos = (int) (warp*(long)numTiles/totalWarps);
+    int end = (int) ((warp+1)*(long)numTiles/totalWarps);
 #endif
     int skipBase = 0;
     int currentSkipIndex = tbx;

platforms/opencl/src/kernels/customGBEnergyN2_cpu.cl

@@ -200,11 +200,11 @@ __kernel void computeN2Energy(
 
 #ifdef USE_CUTOFF
     const unsigned int numTiles = interactionCount[0];
-    int pos = get_group_id(0)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0);
-    int end = (get_group_id(0)+1)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0);
+    int pos = (int) (get_group_id(0)*(numTiles > maxTiles ? NUM_BLOCKS*((long)NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0));
+    int end = (int) ((get_group_id(0)+1)*(numTiles > maxTiles ? NUM_BLOCKS*((long)NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0));
 #else
-    int pos = get_group_id(0)*numTiles/get_num_groups(0);
-    int end = (get_group_id(0)+1)*numTiles/get_num_groups(0);
+    int pos = (int) (get_group_id(0)*(long)numTiles/get_num_groups(0));
+    int end = (int) ((get_group_id(0)+1)*(long)numTiles/get_num_groups(0));
 #endif
     int nextToSkip = -1;
     int currentSkipIndex = 0;

platforms/opencl/src/kernels/customGBValueN2.cl

@@ -156,11 +156,11 @@ __kernel void computeN2Value(__global const real4* restrict posq, __local real4*
 
 #ifdef USE_CUTOFF
     unsigned int numTiles = interactionCount[0];
-    int pos = warp*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/totalWarps;
-    int end = (warp+1)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/totalWarps;
+    int pos = (int) (warp*(numTiles > maxTiles ? NUM_BLOCKS*((long)NUM_BLOCKS+1)/2 : (long)numTiles)/totalWarps);
+    int end = (int) ((warp+1)*(numTiles > maxTiles ? NUM_BLOCKS*((long)NUM_BLOCKS+1)/2 : (long)numTiles)/totalWarps);
 #else
-    int pos = warp*numTiles/totalWarps;
-    int end = (warp+1)*numTiles/totalWarps;
+    int pos = (int) (warp*(long)numTiles/totalWarps);
+    int end = (int) ((warp+1)*(long)numTiles/totalWarps);
 #endif
     int skipBase = 0;
     int currentSkipIndex = tbx;

platforms/opencl/src/kernels/customGBValueN2_cpu.cl

@@ -169,11 +169,11 @@ __kernel void computeN2Value(__global const real4* restrict posq, __local real4*
 
 #ifdef USE_CUTOFF
     const unsigned int numTiles = interactionCount[0];
-    int pos = get_group_id(0)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0);
-    int end = (get_group_id(0)+1)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0);
+    int pos = (int) (get_group_id(0)*(numTiles > maxTiles ? NUM_BLOCKS*((long)NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0));
+    int end = (int) ((get_group_id(0)+1)*(numTiles > maxTiles ? NUM_BLOCKS*((long)NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0));
 #else
-    int pos = get_group_id(0)*numTiles/get_num_groups(0);
-    int end = (get_group_id(0)+1)*numTiles/get_num_groups(0);
+    int pos = (int) (get_group_id(0)*(long)numTiles/get_num_groups(0));
+    int end = (int) ((get_group_id(0)+1)*(long)numTiles/get_num_groups(0));
 #endif
     int nextToSkip = -1;
     int currentSkipIndex = 0;

platforms/opencl/src/kernels/gbsaObc.cl

@@ -168,11 +168,11 @@ __kernel void computeBornSum(
 
 #ifdef USE_CUTOFF
     unsigned int numTiles = interactionCount[0];
-    int pos = warp*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/totalWarps;
-    int end = (warp+1)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/totalWarps;
+    int pos = (int) (warp*(numTiles > maxTiles ? NUM_BLOCKS*((long)NUM_BLOCKS+1)/2 : (long)numTiles)/totalWarps);
+    int end = (int) ((warp+1)*(numTiles > maxTiles ? NUM_BLOCKS*((long)NUM_BLOCKS+1)/2 : (long)numTiles)/totalWarps);
 #else
-    int pos = warp*numTiles/totalWarps;
-    int end = (warp+1)*numTiles/totalWarps;
+    int pos = (int) (warp*(long)numTiles/totalWarps);
+    int end = (int) ((warp+1)*(long)numTiles/totalWarps);
 #endif
     int skipBase = 0;
     int currentSkipIndex = tbx;
@@ -556,11 +556,11 @@ __kernel void computeGBSAForce1(
 
 #ifdef USE_CUTOFF
     unsigned int numTiles = interactionCount[0];
-    int pos = warp*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/totalWarps;
-    int end = (warp+1)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/totalWarps;
+    int pos = (int) (warp*(numTiles > maxTiles ? NUM_BLOCKS*((long)NUM_BLOCKS+1)/2 : (long)numTiles)/totalWarps);
+    int end = (int) ((warp+1)*(numTiles > maxTiles ? NUM_BLOCKS*((long)NUM_BLOCKS+1)/2 : (long)numTiles)/totalWarps);
 #else
-    int pos = warp*numTiles/totalWarps;
-    int end = (warp+1)*numTiles/totalWarps;
+    int pos = (int) (warp*(long)numTiles/totalWarps);
+    int end = (int) ((warp+1)*(long)numTiles/totalWarps);
 #endif
     int skipBase = 0;
     int currentSkipIndex = tbx;

platforms/opencl/src/kernels/gbsaObc_cpu.cl

@@ -177,11 +177,11 @@ __kernel void computeBornSum(
 
 #ifdef USE_CUTOFF
     unsigned int numTiles = interactionCount[0];
-    int pos = get_group_id(0)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0);
-    int end = (get_group_id(0)+1)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0);
+    int pos = (int) (get_group_id(0)*(numTiles > maxTiles ? NUM_BLOCKS*((long)NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0));
+    int end = (int) ((get_group_id(0)+1)*(numTiles > maxTiles ? NUM_BLOCKS*((long)NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0));
 #else
-    int pos = get_group_id(0)*numTiles/get_num_groups(0);
-    int end = (get_group_id(0)+1)*numTiles/get_num_groups(0);
+    int pos = (int) (get_group_id(0)*(long)numTiles/get_num_groups(0));
+    int end = (int) ((get_group_id(0)+1)*(long)numTiles/get_num_groups(0));
 #endif
     int nextToSkip = -1;
     int currentSkipIndex = 0;
@@ -592,11 +592,11 @@ __kernel void computeGBSAForce1(
 
 #ifdef USE_CUTOFF
     unsigned int numTiles = interactionCount[0];
-    int pos = get_group_id(0)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0);
-    int end = (get_group_id(0)+1)*(numTiles > maxTiles ? NUM_BLOCKS*(NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0);
+    int pos = (int) (get_group_id(0)*(numTiles > maxTiles ? NUM_BLOCKS*((long)NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0));
+    int end = (int) ((get_group_id(0)+1)*(numTiles > maxTiles ? NUM_BLOCKS*((long)NUM_BLOCKS+1)/2 : numTiles)/get_num_groups(0));
 #else
-    int pos = get_group_id(0)*numTiles/get_num_groups(0);
-    int end = (get_group_id(0)+1)*numTiles/get_num_groups(0);
+    int pos = (int) (get_group_id(0)*(long)numTiles/get_num_groups(0));
+    int end = (int) ((get_group_id(0)+1)*(long)numTiles/get_num_groups(0));
 #endif
     int nextToSkip = -1;
     int currentSkipIndex = 0;

platforms/opencl/src/kernels/nonbonded.cl

@@ -193,12 +193,12 @@ __kernel void computeNonbonded(
 
 #ifdef USE_CUTOFF
     unsigned int numTiles = interactionCount[0];
-    int pos = (numTiles > maxTiles ? startTileIndex+warp*numTileIndices/totalWarps : warp*numTiles/totalWarps);
-    int end = (numTiles > maxTiles ? startTileIndex+(warp+1)*numTileIndices/totalWarps : (warp+1)*numTiles/totalWarps);
+    int pos = (int) (numTiles > maxTiles ? startTileIndex+warp*(long)numTileIndices/totalWarps : warp*(long)numTiles/totalWarps);
+    int end = (int) (numTiles > maxTiles ? startTileIndex+(warp+1)*(long)numTileIndices/totalWarps : (warp+1)*(long)numTiles/totalWarps);
 #else
     const unsigned int numTiles = numTileIndices;
-    int pos = startTileIndex+warp*numTiles/totalWarps;
-    int end = startTileIndex+(warp+1)*numTiles/totalWarps;
+    int pos = (int) (startTileIndex+warp*(long)numTiles/totalWarps);
+    int end = (int) (startTileIndex+(warp+1)*(long)numTiles/totalWarps);
 #endif
     int skipBase = 0;
     int currentSkipIndex = tbx;

platforms/opencl/src/kernels/nonbonded_cpu.cl

@@ -213,12 +213,12 @@ __kernel void computeNonbonded(
 
 #ifdef USE_CUTOFF
     const unsigned int numTiles = interactionCount[0];
-    int pos = (numTiles > maxTiles ? startTileIndex+get_group_id(0)*numTileIndices/get_num_groups(0) : get_group_id(0)*numTiles/get_num_groups(0));
-    int end = (numTiles > maxTiles ? startTileIndex+(get_group_id(0)+1)*numTileIndices/get_num_groups(0) : (get_group_id(0)+1)*numTiles/get_num_groups(0));
+    int pos = (int) (numTiles > maxTiles ? (unsigned int) (startTileIndex+get_group_id(0)*(long)numTileIndices/get_num_groups(0)) : get_group_id(0)*(long)numTiles/get_num_groups(0));
+    int end = (int) (numTiles > maxTiles ? (unsigned int) (startTileIndex+(get_group_id(0)+1)*(long)numTileIndices/get_num_groups(0)) : (get_group_id(0)+1)*(long)numTiles/get_num_groups(0));
 #else
     const unsigned int numTiles = numTileIndices;
-    int pos = startTileIndex+get_group_id(0)*numTiles/get_num_groups(0);
-    int end = startTileIndex+(get_group_id(0)+1)*numTiles/get_num_groups(0);
+    int pos = (int) (startTileIndex+get_group_id(0)*(long)numTiles/get_num_groups(0));
+    int end = (int) (startTileIndex+(get_group_id(0)+1)*(long)numTiles/get_num_groups(0));
 #endif
     int nextToSkip = -1;
     int currentSkipIndex = 0;

plugins/amoeba/platforms/cuda/src/kernels/amoebaGk.cu

@@ -89,8 +89,8 @@ extern "C" __global__ void computeBornSum(unsigned long long* __restrict__ bornS
         const float2* __restrict__ params, unsigned int numTiles) {
     unsigned int totalWarps = (blockDim.x*gridDim.x)/TILE_SIZE;
     unsigned int warp = (blockIdx.x*blockDim.x+threadIdx.x)/TILE_SIZE;
-    unsigned int pos = warp*numTiles/totalWarps;
-    unsigned int end = (warp+1)*numTiles/totalWarps;
+    unsigned int pos = (unsigned int) (warp*(long long)numTiles/totalWarps);
+    unsigned int end = (unsigned int) ((warp+1)*(long long)numTiles/totalWarps);
     unsigned int lasty = 0xFFFFFFFF;
     __shared__ AtomData1 localData[BORN_SUM_THREAD_BLOCK_SIZE];
     do {
@@ -223,8 +223,8 @@ extern "C" __global__ void computeGKForces(
     unsigned int totalWarps = (blockDim.x*gridDim.x)/TILE_SIZE;
     unsigned int warp = (blockIdx.x*blockDim.x+threadIdx.x)/TILE_SIZE;
     const unsigned int numTiles = numTileIndices;
-    unsigned int pos = startTileIndex+warp*numTiles/totalWarps;
-    unsigned int end = startTileIndex+(warp+1)*numTiles/totalWarps;
+    unsigned int pos = (unsigned int) (startTileIndex+warp*(long long)numTiles/totalWarps);
+    unsigned int end = (unsigned int) (startTileIndex+(warp+1)*(long long)numTiles/totalWarps);
     real energy = 0;
     __shared__ AtomData2 localData[GK_FORCE_THREAD_BLOCK_SIZE];
     

plugins/amoeba/platforms/cuda/src/kernels/amoebaWcaForce.cu

@@ -196,8 +196,8 @@ extern "C" __global__ void computeWCAForce(unsigned long long* __restrict__ forc
     unsigned int totalWarps = (blockDim.x*gridDim.x)/TILE_SIZE;
     unsigned int warp = (blockIdx.x*blockDim.x+threadIdx.x)/TILE_SIZE;
     const unsigned int numTiles = numTileIndices;
-    unsigned int pos = startTileIndex+warp*numTiles/totalWarps;
-    unsigned int end = startTileIndex+(warp+1)*numTiles/totalWarps;
+    unsigned int pos = (unsigned int) (startTileIndex+warp*(long long)numTiles/totalWarps);
+    unsigned int end = (unsigned int) (startTileIndex+(warp+1)*(long long)numTiles/totalWarps);
     real energy = 0;
     __shared__ AtomData localData[THREAD_BLOCK_SIZE];
     

plugins/amoeba/platforms/cuda/src/kernels/multipoleElectrostatics.cu

@@ -216,12 +216,12 @@ extern "C" __global__ void computeElectrostatics(
 
 #ifdef USE_CUTOFF
     const unsigned int numTiles = interactionCount[0];
-    int pos = (numTiles > maxTiles ? startTileIndex+warp*numTileIndices/totalWarps : warp*numTiles/totalWarps);
-    int end = (numTiles > maxTiles ? startTileIndex+(warp+1)*numTileIndices/totalWarps : (warp+1)*numTiles/totalWarps);
+    int pos = (int) (numTiles > maxTiles ? startTileIndex+warp*(long long)numTileIndices/totalWarps : warp*(long long)numTiles/totalWarps);
+    int end = (int) (numTiles > maxTiles ? startTileIndex+(warp+1)*(long long)numTileIndices/totalWarps : (warp+1)*(long long)numTiles/totalWarps);
 #else
     const unsigned int numTiles = numTileIndices;
-    int pos = startTileIndex+warp*numTiles/totalWarps;
-    int end = startTileIndex+(warp+1)*numTiles/totalWarps;
+    int pos = (int) (startTileIndex+warp*(long long)numTiles/totalWarps);
+    int end = (int) (startTileIndex+(warp+1)*(long long)numTiles/totalWarps);
 #endif
     int skipBase = 0;
     int currentSkipIndex = tbx;

plugins/amoeba/platforms/cuda/src/kernels/multipoleFixedField.cu

@@ -581,12 +581,12 @@ extern "C" __global__ void computeFixedField(
 
 #ifdef USE_CUTOFF
     const unsigned int numTiles = interactionCount[0];
-    int pos = (numTiles > maxTiles ? startTileIndex+warp*numTileIndices/totalWarps : warp*numTiles/totalWarps);
-    int end = (numTiles > maxTiles ? startTileIndex+(warp+1)*numTileIndices/totalWarps : (warp+1)*numTiles/totalWarps);
+    int pos = (int) (numTiles > maxTiles ? startTileIndex+warp*(long long)numTileIndices/totalWarps : warp*(long long)numTiles/totalWarps);
+    int end = (int) (numTiles > maxTiles ? startTileIndex+(warp+1)*(long long)numTileIndices/totalWarps : (warp+1)*(long long)numTiles/totalWarps);
 #else
     const unsigned int numTiles = numTileIndices;
-    int pos = startTileIndex+warp*numTiles/totalWarps;
-    int end = startTileIndex+(warp+1)*numTiles/totalWarps;
+    int pos = (int) (startTileIndex+warp*(long long)numTiles/totalWarps);
+    int end = (int) (startTileIndex+(warp+1)*(long long)numTiles/totalWarps);
 #endif
     int skipBase = 0;
     int currentSkipIndex = tbx;

plugins/amoeba/platforms/cuda/src/kernels/multipoleInducedField.cu

@@ -319,12 +319,12 @@ extern "C" __global__ void computeInducedField(
 
 #ifdef USE_CUTOFF
     const unsigned int numTiles = interactionCount[0];
-    int pos = (numTiles > maxTiles ? startTileIndex+warp*numTileIndices/totalWarps : warp*numTiles/totalWarps);
-    int end = (numTiles > maxTiles ? startTileIndex+(warp+1)*numTileIndices/totalWarps : (warp+1)*numTiles/totalWarps);
+    int pos = (int) (numTiles > maxTiles ? startTileIndex+warp*(long long)numTileIndices/totalWarps : warp*(long long)numTiles/totalWarps);
+    int end = (int) (numTiles > maxTiles ? startTileIndex+(warp+1)*(long long)numTileIndices/totalWarps : (warp+1)*(long long)numTiles/totalWarps);
 #else
     const unsigned int numTiles = numTileIndices;
-    int pos = startTileIndex+warp*numTiles/totalWarps;
-    int end = startTileIndex+(warp+1)*numTiles/totalWarps;
+    int pos = (int) (startTileIndex+warp*(long long)numTiles/totalWarps);
+    int end = (int) (startTileIndex+(warp+1)*(long long)numTiles/totalWarps);
 #endif
     int skipBase = 0;
     int currentSkipIndex = tbx;

plugins/amoeba/platforms/cuda/src/kernels/pmeMultipoleElectrostatics.cu

@@ -303,12 +303,12 @@ extern "C" __global__ void computeElectrostatics(
 
 #ifdef USE_CUTOFF
     const unsigned int numTiles = interactionCount[0];
-    int pos = (numTiles > maxTiles ? startTileIndex+warp*numTileIndices/totalWarps : warp*numTiles/totalWarps);
-    int end = (numTiles > maxTiles ? startTileIndex+(warp+1)*numTileIndices/totalWarps : (warp+1)*numTiles/totalWarps);
+    int pos = (int) (numTiles > maxTiles ? startTileIndex+warp*(long long)numTileIndices/totalWarps : warp*(long long)numTiles/totalWarps);
+    int end = (int) (numTiles > maxTiles ? startTileIndex+(warp+1)*(long long)numTileIndices/totalWarps : (warp+1)*(long long)numTiles/totalWarps);
 #else
     const unsigned int numTiles = numTileIndices;
-    int pos = startTileIndex+warp*numTiles/totalWarps;
-    int end = startTileIndex+(warp+1)*numTiles/totalWarps;
+    int pos = (int) (startTileIndex+warp*(long long)numTiles/totalWarps);
+    int end = (int) (startTileIndex+(warp+1)*(long long)numTiles/totalWarps);
 #endif
     int skipBase = 0;
     int currentSkipIndex = tbx;