added radixSort

This commit is contained in:
Evghenii
2014-02-20 13:49:58 +01:00
parent 0c0655c0f2
commit 463ddf1707
5 changed files with 809 additions and 0 deletions

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EXAMPLE=radixSort
CPP_SRC=radixSort.cpp
ISPC_SRC=radixSort.ispc
ISPC_IA_TARGETS=avx1-i32x8
ISPC_ARM_TARGETS=neon
#ISPC_FLAGS=-DDEBUG -g
include ../common_cpu.mk

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PROG=radixSort
ISPC_SRC=radixSort.ispc
CU_SRC=radixSort.cu
# NVCC_FLAGS=-Xptxas=-O1
CXX_SRC=radixSort.cpp radixSort.cpp
PTXCC_REGMAX=64
LLVM_GPU=1
NVVM_GPU=1
include ../common_ptx.mk

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#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <iostream>
#include <cassert>
#include <iomanip>
#include "timing.h"
#include "ispc_malloc.h"
#include "radixSort_ispc.h"
/* progress bar by Ross Hemsley;
* http://www.rosshemsley.co.uk/2011/02/creating-a-progress-bar-in-c-or-any-other-console-app/ */
static inline void progressbar (unsigned int x, unsigned int n, unsigned int w = 50)
{
if (n < 100)
{
x *= 100/n;
n = 100;
}
if ((x != n) && (x % (n/100) != 0)) return;
using namespace std;
float ratio = x/(float)n;
int c = ratio * w;
cout << setw(3) << (int)(ratio*100) << "% [";
for (int x=0; x<c; x++) cout << "=";
for (int x=c; x<w; x++) cout << " ";
cout << "]\r" << flush;
}
struct Key
{
int32_t key,val;
};
int main (int argc, char *argv[])
{
int i, j, n = argc == 1 ? 1000000 : atoi(argv[1]), m = n < 100 ? 1 : 50, l = n < 100 ? n : RAND_MAX;
double tISPC1 = 0.0, tISPC2 = 0.0, tSerial = 0.0;
Key *keys = new Key [n];
Key *keys_orig = new Key [n];
unsigned int *keys_gold = new unsigned int [n];
srand48(rtc()*65536);
int sortBits = 32;
assert(sortBits <= 32);
#pragma omp parallel for
for (int i = 0; i < n; i++)
{
keys[i].key = ((int)(drand48() * (1<<30))) & ((1ULL << sortBits) - 1);
keys[i].val = i;
}
std::random_shuffle(keys, keys + n);
#pragma omp parallel for
for (int i = 0; i < n; i++)
{
keys_gold[i] = keys[i].key;
keys_orig[i] = keys[i];
}
ispcSetMallocHeapLimit(1024*1024*1024);
ispc::radixSort_alloc(n);
tISPC2 = 1e30;
for (i = 0; i < m; i ++)
{
ispcMemcpy(keys, keys_orig, n*sizeof(Key));
reset_and_start_timer();
ispc::radixSort(n, (int64_t*)keys, sortBits);
tISPC2 = std::min(tISPC2, get_elapsed_msec());
if (argc != 3)
progressbar (i, m);
}
ispc::radixSort_free();
printf("[sort ispc + tasks]:\t[%.3f] msec [%.3f Mpair/s]\n", tISPC2, 1.0e-3*n/tISPC2);
std::sort(keys_gold, keys_gold + n);
for (int i = 0; i < n; i++)
assert(keys[i].key == keys_gold[i]);
#if 0
for (i = 0; i < m; i ++)
{
ispcMemcpy(code, code_orig, n*sizeof(unsigned int));
reset_and_start_timer();
sort_serial (n, code, order);
tSerial += get_elapsed_msec();
if (argc != 3)
progressbar (i, m);
}
printf("[sort serial]:\t\t[%.3f] msec [%.3f Mpair/s]\n", tSerial, 1.0e-3*n*m/tSerial);
#ifndef _CUDA_
printf("\t\t\t\t(%.2fx speedup from ISPC, %.2fx speedup from ISPC + tasks)\n", tSerial/tISPC1, tSerial/tISPC2);
#else
printf("\t\t\t\t(%.2fx speedup from ISPC + tasks)\n", tSerial/tISPC2);
#endif
#endif
delete keys;
delete keys_orig;
delete keys_gold;
return 0;
}

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#include "cuda_helpers.cuh"
#include <cassert>
#define NUMBITS 8
#define NUMDIGITS (1<<NUMBITS)
typedef long long Key;
__forceinline__ __device__ int atomic_add_global(int* ptr, int value)
{
return atomicAdd(ptr, value);
}
static __device__ __forceinline__ int shfl_scan_add_step(int partial, int up_offset)
{
int result;
asm(
"{.reg .u32 r0;"
".reg .pred p;"
"shfl.up.b32 r0|p, %1, %2, 0;"
"@p add.u32 r0, r0, %3;"
"mov.u32 %0, r0;}"
: "=r"(result) : "r"(partial), "r"(up_offset), "r"(partial));
return result;
}
__forceinline__ __device__ int exclusive_scan_add(int value)
{
int mysum = value;
#pragma unroll
for(int i = 0; i < 5; ++i)
mysum = shfl_scan_add_step(mysum, 1 << i);
return mysum - value;
}
__global__
void countPass(
const Key keysAll[],
Key sortedAll[],
const int bit,
const int numElements,
int countsAll[],
int countsGlobal[])
{
const int blkIdx = taskIndex;
const int numBlocks = taskCount;
const int blkDim = (numElements + numBlocks - 1) / numBlocks;
const int mask = (1 << NUMBITS) - 1;
const Key * keys = keysAll + blkIdx*blkDim;
Key * sorted = sortedAll + blkIdx*blkDim;
int * counts = countsAll + blkIdx*NUMDIGITS;
const int nloc = min(numElements - blkIdx*blkDim, blkDim);
#pragma unroll 8
for (int digit = programIndex; digit < NUMDIGITS; digit += programCount)
counts[digit] = 0;
for (int i = programIndex; i < nloc; i += programCount)
if (i < nloc)
{
sorted[i] = keys[i];
const int key = mask & ((unsigned int)keys[i] >> bit);
atomic_add_global(&counts[key], 1);
}
#pragma unroll 8
for (int digit = programIndex; digit < NUMDIGITS; digit += programCount)
atomic_add_global(&countsGlobal[digit], counts[digit]);
}
__global__
void sortPass(
Key keysAll[],
Key sorted[],
int bit,
int numElements,
int digitOffsetsAll[])
{
const int blkIdx = taskIndex;
const int numBlocks = taskCount;
const int blkDim = (numElements + numBlocks - 1) / numBlocks;
const int keyIndex = blkIdx * blkDim;
Key * keys = keysAll + keyIndex;
const int nloc = min(numElements - keyIndex, blkDim);
const int mask = (1 << NUMBITS) - 1;
/* copy digit offset from Gmem to Lmem */
#if 1
__shared__ int digitOffsets_sh[NUMDIGITS*4];
volatile int *digitOffsets = digitOffsets_sh + warpIdx*NUMDIGITS;
for (int digit = programIndex; digit < NUMDIGITS; digit += programCount)
digitOffsets[digit] = digitOffsetsAll[blkIdx*NUMDIGITS + digit];
#else
int *digitOffsets = &digitOffsetsAll[blkIdx*NUMDIGITS];
#endif
for (int i = programIndex; i < nloc; i += programCount)
if (i < nloc)
{
const int key = mask & ((unsigned int)keys[i] >> bit);
int scatter;
/* not a vector friendly loop */
#pragma unroll 1 /* needed, otherwise compiler unroll and optimizes the result :S */
for (int iv = 0; iv < programCount; iv++)
if (programIndex == iv)
scatter = digitOffsets[key]++;
sorted [scatter] = keys[i];
}
}
__global__
void partialScanLocal(
int numBlocks,
int excScanAll[],
int countsAll[],
int partialSumAll[])
{
const int blkIdx = taskIndex;
const int blkDim = (numBlocks+taskCount-1)/taskCount;
const int bbeg = blkIdx * blkDim;
const int bend = min(bbeg + blkDim, numBlocks);
int (* countsBlock)[NUMDIGITS] = ( int (*)[NUMDIGITS])countsAll;
int (* excScanBlock)[NUMDIGITS] = ( int (*)[NUMDIGITS])excScanAll;
int (* partialSum)[NUMDIGITS] = ( int (*)[NUMDIGITS])partialSumAll;
#pragma unroll 8
for (int digit = programIndex; digit < NUMDIGITS; digit += programCount)
{
int prev = bbeg == 0 ? excScanBlock[0][digit] : 0;
for ( int block = bbeg; block < bend; block++)
{
const int y = countsBlock[block][digit];
excScanBlock[block][digit] = prev;
prev += y;
}
partialSum[blkIdx][digit] = excScanBlock[bend-1][digit] + countsBlock[bend-1][digit];
}
}
__global__
void partialScanGlobal(
const int numBlocks,
int partialSumAll[],
int prefixSumAll[])
{
int (* partialSum)[NUMDIGITS] = ( int (*)[NUMDIGITS])partialSumAll;
int (* prefixSum)[NUMDIGITS] = ( int (*)[NUMDIGITS]) prefixSumAll;
const int digit = taskIndex;
int carry = 0;
for (int block = programIndex; block < numBlocks; block += programCount)
{
const int value = partialSum[block][digit];
const int scan = exclusive_scan_add(value);
if (block < numBlocks)
prefixSum[block][digit] = scan + carry;
carry += __shfl(scan+value, programCount-1);
}
}
__global__
void completeScanGlobal(
int numBlocks,
int excScanAll[],
int carryValueAll[])
{
const int blkIdx = taskIndex;
const int blkDim = (numBlocks+taskCount-1)/taskCount;
const int bbeg = blkIdx * blkDim;
const int bend = min(bbeg + blkDim, numBlocks);
int (* excScanBlock)[NUMDIGITS] = ( int (*)[NUMDIGITS])excScanAll;
int (* carryValue)[NUMDIGITS] = ( int (*)[NUMDIGITS])carryValueAll;
#pragma unroll 8
for (int digit = programIndex; digit < NUMDIGITS; digit += programCount)
{
const int carry = carryValue[blkIdx][digit];
for ( int block = bbeg; block < bend; block++)
excScanBlock[block][digit] += carry;
}
}
__device__ static
inline void radixExclusiveScan(
const int numBlocks,
int excScanPtr[],
int countsPtr[],
int partialSum[],
int prefixSum[])
{
const int scale = 8;
launch (numBlocks/scale, 1,1, partialScanLocal)(numBlocks, excScanPtr, countsPtr, partialSum);
sync;
launch (NUMDIGITS,1,1,partialScanGlobal) (numBlocks/scale, partialSum, prefixSum);
sync;
launch (numBlocks/scale,1,1, completeScanGlobal) (numBlocks, excScanPtr, prefixSum);
sync;
}
__device__ static int * memoryPool = NULL;
__device__ static int numBlocks;
__device__ static int nSharedCounts;
__device__ static int nCountsGlobal;
__device__ static int nExcScan;
__device__ static int nCountsBlock;
__device__ static int nPartialSum;
__device__ static int nPrefixSum;
__device__ static int * sharedCounts;
__device__ static int * countsGlobal;
__device__ static int * excScan;
__device__ static int * counts;
__device__ static int * partialSum;
__device__ static int * prefixSum;
__device__ static int numElementsBuf = 0;
__device__ static Key * bufKeys;
__global__
void radixSort_alloc___export(const int n)
{
assert(memoryPool == NULL);
numBlocks = 13*32*4;
nSharedCounts = NUMDIGITS*numBlocks;
nCountsGlobal = NUMDIGITS;
nExcScan = NUMDIGITS*numBlocks;
nCountsBlock = NUMDIGITS*numBlocks;
nPartialSum = NUMDIGITS*numBlocks;
nPrefixSum = NUMDIGITS*numBlocks;
const int nalloc =
nSharedCounts +
nCountsGlobal +
nExcScan +
nCountsBlock +
nPartialSum +
nPrefixSum;
if (programIndex == 0)
memoryPool = new int[nalloc];
sharedCounts = memoryPool;
countsGlobal = sharedCounts + nSharedCounts;
excScan = countsGlobal + nCountsGlobal;
counts = excScan + nExcScan;
partialSum = counts + nCountsBlock;
prefixSum = partialSum + nPartialSum;
}
extern "C"
void radixSort_alloc(const int n)
{
radixSort_alloc___export<<<1,32>>>(n);
sync;
}
__device__ static
void radixSort_freeBufKeys()
{
if (numElementsBuf > 0)
{
if (programIndex == 0)
delete bufKeys;
numElementsBuf = 0;
}
}
__global__ void radixSort_free___export()
{
assert(memoryPool != NULL);
if (programIndex == 0)
delete memoryPool;
memoryPool = NULL;
radixSort_freeBufKeys();
}
extern "C"
void radixSort_free()
{
radixSort_free___export<<<1,32>>>();
sync;
}
__global__ void radixSort___export(
const int numElements,
Key keys[],
const int nBits)
{
#ifdef __NVPTX__
assert((numBlocks & 3) == 0); /* task granularity on Kepler is 4 */
#endif
if (numElementsBuf < numElements)
radixSort_freeBufKeys();
if (numElementsBuf == 0)
{
numElementsBuf = numElements;
if (programIndex == 0)
bufKeys = new Key[numElementsBuf];
}
const int blkDim = (numElements + numBlocks - 1) / numBlocks;
for ( int bit = 0; bit < nBits; bit += NUMBITS)
{
/* initialize histogram for each digit */
for (int digit = programIndex; digit < NUMDIGITS; digit += programCount)
countsGlobal[digit] = 0;
/* compute histogram for each digit */
launch (numBlocks,1,1, countPass)(keys, bufKeys, bit, numElements, counts, countsGlobal);
sync;
/* exclusive scan on global histogram */
int carry = 0;
excScan[0] = 0;
#pragma unroll 8
for (int digit = programIndex; digit < NUMDIGITS; digit += programCount)
{
const int value = countsGlobal[digit];
const int scan = exclusive_scan_add(value);
excScan[digit] = scan + carry;
carry += __shfl(scan+value, programCount-1);
}
/* computing offsets for each digit */
radixExclusiveScan(numBlocks, excScan, counts, partialSum, prefixSum);
/* sorting */
launch (numBlocks,1,1,
sortPass)(
bufKeys,
keys,
bit,
numElements,
excScan);
sync;
}
}
extern "C"
void radixSort(
const int numElements,
Key keys[],
const int nBits)
{
cudaDeviceSetCacheConfig ( cudaFuncCachePreferEqual );
radixSort___export<<<1,32>>>(numElements, keys, nBits);
sync;
}

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#define NUMBITS 8
#define NUMDIGITS (1<<NUMBITS)
typedef int64 Key;
task
void countPass(
const uniform Key keysAll[],
uniform Key sortedAll[],
const uniform int bit,
const uniform int numElements,
uniform int countsAll[],
uniform int countsGlobal[])
{
const uniform int blockIdx = taskIndex;
const uniform int numBlocks = taskCount;
const uniform int blockDim = (numElements + numBlocks - 1) / numBlocks;
const uniform int mask = (1 << NUMBITS) - 1;
const uniform Key * uniform keys = keysAll + blockIdx*blockDim;
uniform Key * uniform sorted = sortedAll + blockIdx*blockDim;
uniform int * uniform counts = countsAll + blockIdx*NUMDIGITS;
const uniform int nloc = min(numElements - blockIdx*blockDim, blockDim);
foreach (digit = 0 ... NUMDIGITS)
counts[digit] = 0;
foreach (i = 0 ... nloc)
{
sorted[i] = keys[i];
const int key = mask & ((unsigned int)keys[i] >> bit);
#ifdef __NVPTX__
atomic_add_global(&counts[key], 1);
#else
atomic_add_local(&counts[key], 1);
#endif
}
foreach (digit = 0 ... NUMDIGITS)
atomic_add_global(&countsGlobal[digit], counts[digit]);
}
task
void sortPass(
uniform Key keysAll[],
uniform Key sorted[],
uniform int bit,
uniform int numElements,
uniform int digitOffsetsAll[])
{
const uniform int blockIdx = taskIndex;
const uniform int numBlocks = taskCount;
const uniform int blockDim = (numElements + numBlocks - 1) / numBlocks;
const uniform int keyIndex = blockIdx * blockDim;
uniform Key * uniform keys = keysAll + keyIndex;
const uniform int nloc = min(numElements - keyIndex, blockDim);
const uniform int mask = (1 << NUMBITS) - 1;
/* copy digit offset from Gmem to Lmem */
#if 1
uniform int digitOffsets[NUMDIGITS];
foreach (digit = 0 ... NUMDIGITS)
digitOffsets[digit] = digitOffsetsAll[blockIdx*NUMDIGITS + digit];
#else
uniform int * uniform digitOffsets = &digitOffsetsAll[blockIdx*NUMDIGITS];
#endif
foreach (i = 0 ... nloc)
{
const int key = mask & ((unsigned int)keys[i] >> bit);
int scatter;
/* not a vector friendly loop */
foreach_active(iv)
scatter = digitOffsets[key]++;
sorted[scatter] = keys[i];
}
}
task
void partialScanLocal(
uniform int numBlocks,
uniform int excScanAll[],
uniform int countsAll[],
uniform int partialSumAll[])
{
const uniform int blockIdx = taskIndex;
const uniform int blockDim = (numBlocks+taskCount-1)/taskCount;
const uniform int bbeg = blockIdx * blockDim;
const uniform int bend = min(bbeg + blockDim, numBlocks);
uniform int (* uniform countsBlock)[NUMDIGITS] = (uniform int (*)[NUMDIGITS])countsAll;
uniform int (* uniform excScanBlock)[NUMDIGITS] = (uniform int (*)[NUMDIGITS])excScanAll;
uniform int (* uniform partialSum)[NUMDIGITS] = (uniform int (*)[NUMDIGITS])partialSumAll;
foreach (digit = 0 ... NUMDIGITS)
{
int prev = bbeg == 0 ? excScanBlock[0][digit] : 0;
for (uniform int block = bbeg; block < bend; block++)
{
const int y = countsBlock[block][digit];
excScanBlock[block][digit] = prev;
prev += y;
}
partialSum[blockIdx][digit] = excScanBlock[bend-1][digit] + countsBlock[bend-1][digit];
}
}
task
void partialScanGlobal(
const uniform int numBlocks,
uniform int partialSumAll[],
uniform int prefixSumAll[])
{
uniform int (* uniform partialSum)[NUMDIGITS] = (uniform int (*)[NUMDIGITS])partialSumAll;
uniform int (* uniform prefixSum)[NUMDIGITS] = (uniform int (*)[NUMDIGITS]) prefixSumAll;
const uniform int digit = taskIndex;
int carry = 0;
foreach (block = 0 ... numBlocks)
{
const int value = partialSum[block][digit];
const int scan = exclusive_scan_add(value);
prefixSum[block][digit] = scan + carry;
carry += broadcast(scan+value, programCount-1);
}
}
task
void completeScanGlobal(
uniform int numBlocks,
uniform int excScanAll[],
uniform int carryValueAll[])
{
const uniform int blockIdx = taskIndex;
const uniform int blockDim = (numBlocks+taskCount-1)/taskCount;
const uniform int bbeg = blockIdx * blockDim;
const uniform int bend = min(bbeg + blockDim, numBlocks);
uniform int (* uniform excScanBlock)[NUMDIGITS] = (uniform int (*)[NUMDIGITS])excScanAll;
uniform int (* uniform carryValue)[NUMDIGITS] = (uniform int (*)[NUMDIGITS])carryValueAll;
foreach (digit = 0 ... NUMDIGITS)
{
const int carry = carryValue[blockIdx][digit];
for (uniform int block = bbeg; block < bend; block++)
excScanBlock[block][digit] += carry;
}
}
static
inline void radixExclusiveScan(
const uniform int numBlocks,
uniform int excScanPtr[],
uniform int countsPtr[],
uniform int partialSum[],
uniform int prefixSum[])
{
const uniform int scale = 8;
launch [numBlocks/scale] partialScanLocal(numBlocks, excScanPtr, countsPtr, partialSum);
sync;
launch [NUMDIGITS] partialScanGlobal(numBlocks/scale, partialSum, prefixSum);
sync;
launch [numBlocks/scale] completeScanGlobal(numBlocks, excScanPtr, prefixSum);
sync;
}
static uniform int * uniform memoryPool = NULL;
static uniform int numBlocks;
static uniform int nSharedCounts;
static uniform int nCountsGlobal;
static uniform int nExcScan;
static uniform int nCountsBlock;
static uniform int nPartialSum;
static uniform int nPrefixSum;
static uniform int * uniform sharedCounts;
static uniform int * uniform countsGlobal;
static uniform int * uniform excScan;
static uniform int * uniform counts;
static uniform int * uniform partialSum;
static uniform int * uniform prefixSum;
static uniform int numElementsBuf = 0;
static uniform Key * uniform bufKeys;
export void radixSort_alloc(const uniform int n)
{
assert(memoryPool == NULL);
numBlocks = num_cores()*4;
#ifdef __NVPTX__
numBlocks = 13*32*4; //num_cores()*4;
#endif
nSharedCounts = NUMDIGITS*numBlocks;
nCountsGlobal = NUMDIGITS;
nExcScan = NUMDIGITS*numBlocks;
nCountsBlock = NUMDIGITS*numBlocks;
nPartialSum = NUMDIGITS*numBlocks;
nPrefixSum = NUMDIGITS*numBlocks;
const uniform int nalloc =
nSharedCounts +
nCountsGlobal +
nExcScan +
nCountsBlock +
nPartialSum +
nPrefixSum;
memoryPool = uniform new uniform int[nalloc];
sharedCounts = memoryPool;
countsGlobal = sharedCounts + nSharedCounts;
excScan = countsGlobal + nCountsGlobal;
counts = excScan + nExcScan;
partialSum = counts + nCountsBlock;
prefixSum = partialSum + nPartialSum;
}
static
void radixSort_freeBufKeys()
{
if (numElementsBuf > 0)
{
delete bufKeys;
numElementsBuf = 0;
}
}
export void radixSort_free()
{
assert(memoryPool != NULL);
delete memoryPool;
memoryPool = NULL;
radixSort_freeBufKeys();
}
export void radixSort(
const uniform int numElements,
uniform Key keys[],
const uniform int nBits)
{
#ifdef __NVPTX__
assert((numBlocks & 3) == 0); /* task granularity on Kepler is 4 */
#endif
if (numElementsBuf < numElements)
radixSort_freeBufKeys();
if (numElementsBuf == 0)
{
numElementsBuf = numElements;
bufKeys = uniform new uniform Key[numElementsBuf];
}
const uniform int blockDim = (numElements + numBlocks - 1) / numBlocks;
for (uniform int bit = 0; bit < nBits; bit += NUMBITS)
{
/* initialize histogram for each digit */
foreach (digit = 0 ... NUMDIGITS)
countsGlobal[digit] = 0;
/* compute histogram for each digit */
launch [numBlocks] countPass(keys, bufKeys, bit, numElements, counts, countsGlobal);
sync;
/* exclusive scan on global histogram */
int carry = 0;
excScan[0] = 0;
foreach (digit = 0 ... NUMDIGITS)
{
const int value = countsGlobal[digit];
const int scan = exclusive_scan_add(value);
excScan[digit] = scan + carry;
carry += broadcast(scan+value, programCount-1);
}
/* computing offsets for each digit */
radixExclusiveScan(numBlocks, excScan, counts, partialSum, prefixSum);
/* sorting */
launch [numBlocks]
sortPass(
bufKeys,
keys,
bit,
numElements,
excScan);
sync;
}
}