學校課程/平行程式

批改娘 10095. Matrix Calculator (OpenCL)

contents

  1. 1. 題目描述
    1. 1.1. sequence.c
  2. 2. 輸入格式
  3. 3. 輸出格式
  4. 4. 範例輸入 1
  5. 5. 範例輸出 1
  6. 6. 範例輸入 2
  7. 7. 範例輸出 2
  8. 8. 編譯參數
  9. 9. Solution
  10. 10. coarse grain 版本
    1. 10.1. main.c
    2. 10.2. matrix-lib.cl
  11. 11. 作弊版本
    1. 11.1. main.c
    2. 11.2. matrix-lib.cl

題目描述

小明的數學作業要計算方陣，現在請你幫幫他！

題目給定數個 $N \times N$ 的矩陣和 $2$ 小題。

  • $X = AB+CD$
  • $Y = ABE+CDF$

sequence.c

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#include <stdio.h>
#include <stdint.h>
// #define DEBUG
#define UINT uint32_t
#define MAXN 1024
void multiply(int N, UINT A[][MAXN], UINT B[][MAXN], UINT C[][MAXN]) {
    for (int i = 0; i < N; i++) {
        for (int j = 0; j < N; j++) {
            UINT sum = 0;    // overflow, let it go.
            for (int k = 0; k < N; k++)
                sum += A[i][k] * B[k][j];
            C[i][j] = sum;
        }
    }
}
void add(int N, UINT A[][MAXN], UINT B[][MAXN], UINT C[][MAXN]) {
    for (int i = 0; i < N; i++) {
        for (int j = 0; j < N; j++)
        	C[i][j] = A[i][j] + B[i][j];
    }
}
void rand_gen(UINT c, int N, UINT A[][MAXN]) {
    UINT x = 2, n = N*N;
    for (int i = 0; i < N; i++) {
        for (int j = 0; j < N; j++) {
            x = (x * x + c + i + j)%n;
            A[i][j] = x;
        }
    }
}
void print_matrix(int N, UINT A[][MAXN]) {
    for (int i = 0; i < N; i++) {
        fprintf(stderr, "[");
        for (int j = 0; j < N; j++)
            fprintf(stderr, " %u", A[i][j]);
        fprintf(stderr, " ]\n");
    }
}
UINT signature(int N, UINT A[][MAXN]) {
    UINT h = 0;
    for (int i = 0; i < N; i++) {
        for (int j = 0; j < N; j++)
            h = (h + A[i][j]) * 2654435761LU;
    }
    return h;
}
UINT IN[6][MAXN][MAXN], TMP[6][MAXN][MAXN];
int main() {
    int N, S[6];
    scanf("%d", &N);
    for (int i = 0; i < 6; i++) {
        scanf("%d", &S[i]);
        rand_gen(S[i], N, IN[i]);
    }
    // AB
    multiply(N, IN[0], IN[1], TMP[0]);
    // CD
    multiply(N, IN[2], IN[3], TMP[1]);
    // AB+CD
    add(N, TMP[0], TMP[1], TMP[2]);
    printf("%u\n", signature(N, TMP[2]));
    
    // ABE
    multiply(N, TMP[0], IN[4], TMP[3]);
    // CDF
    multiply(N, TMP[1], IN[5], TMP[4]);
    // ABE+CDF
    add(N, TMP[3], TMP[4], TMP[5]);
    printf("%u\n", signature(N, TMP[5]));
    return 0;
}

輸入格式

測資只有一組，第一行會有一個整數 $N$，表示題目給定 $N \times N$ 矩陣，第二行上會有 $6$ 個整數，分別為矩陣 $A, B, C, D, E, F$ 的生成種子。

  • $1 \le N \le 1024$
  • $0 \le S_i \le 2^{31}$

輸出格式

輸出兩行 $X$ 和 $Y$ 的雜湊值，可參考 sequence.c 的流程。

範例輸入 1

1
2
2
0 1 2 3 4 5
$$A = \begin{bmatrix} 0 & 1\\ 2 & 2 \end{bmatrix}, B = \begin{bmatrix} 1 & 3\\ 3 & 0 \end{bmatrix}, C = \begin{bmatrix} 2 & 3\\ 0 & 0 \end{bmatrix}, D = \begin{bmatrix} 3 & 1\\ 1 & 2 \end{bmatrix}, E = \begin{bmatrix} 0 & 1\\ 2 & 2 \end{bmatrix}, F = \begin{bmatrix} 1 & 3\\ 3 & 0 \end{bmatrix}$$ $$AB = \begin{bmatrix} 3 & 0\\ 8 & 6 \end{bmatrix}, CD = \begin{bmatrix} 9 & 8\\ 0 & 0 \end{bmatrix}, AB+CD = \begin{bmatrix} 12 & 8\\ 8 & 6 \end{bmatrix}\\ ABE = \begin{bmatrix} 0 & 3\\ 12 & 20 \end{bmatrix}, CDF = \begin{bmatrix} 33 & 27\\ 0 & 0 \end{bmatrix}, ABE+CDF = \begin{bmatrix} 33 & 30\\ 12 & 20 \end{bmatrix}$$

範例輸出 1

1
2
2385860290
1374821695

範例輸入 2

1
2
10
0 1 2 3 4 5

範例輸出 2

1
2
617438354
1897844131

編譯參數

1
2
$ gcc -std=c99 -O2 main.c -lm -lOpenCL -fopenmp
$ ./main

Solution

這一題用來設計多個 device 共同合作計算一個矩陣表達式，通常會有兩個面向 fine-grain 或者是 coarse-grain，從 fine-grain 角度看來，只需要針對矩陣劃分成數個區塊，例如 device 0 計算 [0, B], device 1 計算 [B+1, 2B] 等方法。而 coarse-grain 則看起來會像是直接從表達式那裡拆分，有可能會重複計算相同的計算值，這裡就不特別消除。

雖然 OpenCL 提供多個 device 共同合作的平台，藉由 context 建立 buffer，但是他們傳輸還是得透過 CPU 控制，沒辦法直接存取另一個 GPU 的 global memory，但寫起來方便許多。

coarse grain 版本

這個版本會針對計算能力做 scheduling，兩個表達式 $X\;, Y$ 分別拆到兩個裝置上運行，重複計算就不理會。將計算量大的表達式丟到較高運算能力的 GPU 上執行。

main.c

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#include <stdio.h>
#include <assert.h>
#include <inttypes.h>
#include <string.h>
#include <signal.h>
#include <unistd.h>
#include <CL/cl.h>
#include <omp.h>
#define MAXGPU 2
#define MAXN 1024
#define MAXM 26
#define GPULOCAL 64
#define MAXMID 20
uint32_t	hostMtx[MAXM][MAXN*MAXN];
int N, binN, M, Q;
char expr[1024];
char clSrcFormat[32767] = ""; 
char clSrc[32767] = "";
// -- start working with OpenCL
const int clNeedDevCnt = 2;
cl_context				clCtx[2];
cl_program				clPrg[2];
cl_kernel				clKrnAdd[2], clKrnMul[2];
cl_command_queue		clQue[2];
cl_mem					clMemIn[2][MAXM], clMemMid[2][MAXM*2];
typedef struct Node {
    struct Node *l, *r;
    int opcode;
    uint32_t *hostV;
    cl_mem	clV;
    cl_event event, *waitEvents;
    int waitEventsN;
    int pid, mid;
    long long h;
} Node;
#define CheckFailAndExit(status) \
    if (status != CL_SUCCESS) { \
        fprintf(stderr, "Error %d: Line %u in file %s\n\n", status, __LINE__, __FILE__), \
        destroyGPU(clCtx, clPrg, clKrnAdd, clKrnMul, clQue, clMemIn); \
    }
#define clFuncArgs cl_context clCtx[], cl_program clPrg[], cl_kernel clKrnAdd[], \
    cl_kernel clKrnMul[], cl_command_queue clQue[], cl_mem clMemIn[][MAXM]
#define clCallFunc clCtx, clPrg, clKrnAdd, clKrnMul, clQue, clMemIn
#define clCallFuncOuter clCtx, clPrg, clKrnAdd, clKrnMul, clQue, clMemIn
void assignGPU(Node *u, int gpuIdx) {
    if (u == NULL)	return ;
    if (u->l == NULL) {
        u->hostV = hostMtx[u->mid];
        u->clV = clMemIn[gpuIdx][u->mid];
        return ;
    }
    assignGPU(u->l, gpuIdx);
    assignGPU(u->r, gpuIdx);
}
Node* parseExpr(int l, int r, char expr[], int procId, clFuncArgs) {
    cl_int clStat;
    Node *u = (Node *) calloc(1, sizeof(Node));
    u->pid = procId;
    if (l == r) {
        int idx = expr[l] - 'A';
        u->hostV = hostMtx[idx];
        u->mid = idx;
        u->h = 0;
        return u;
    }
    int cnt = 0;
    for (int i = l; i <= r; i++) {
        if (expr[i] == '(') {
            cnt++;
        } else if (expr[i] == ')') {
            cnt--;
        } else if (expr[i] == '+' && cnt == 0) {
            u->l = parseExpr(l, i-1, expr, procId, clCallFunc);
            u->r = parseExpr(i+1, r, expr, procId, clCallFunc);
            u->opcode = '+';
            u->h = u->l->h + u->r->h + N;
            return u;
        }
    }
    for (int i = l; i <= r; i++) {
        if (expr[i] == '(') {
            if (cnt == 0 && i != l) {
                u->l = parseExpr(l, i-1, expr, procId, clCallFunc);
                u->r = parseExpr(i, r, expr, procId, clCallFunc);
                u->opcode = '*';
                u->h = u->l->h + u->r->h + N*N;
                return u;
            }
            cnt++;
        } else if (expr[i] == ')') {
            cnt--;
        } else if (expr[i] >= 'A' && expr[i] <= 'Z' && cnt == 0 && i != l) {
            u->l = parseExpr(l, i-1, expr, procId, clCallFunc);
            u->r = parseExpr(i, r, expr, procId, clCallFunc);
            u->opcode = '*';
            u->h = u->l->h + u->r->h + N*N;
            return u;
        }
    }
    free(u);
    return parseExpr(l+1, r-1, expr, procId, clCallFunc);
}
uint32_t writeMatrixOut(int N, uint32_t *A) {
    uint32_t h = 0;
    for (int i = 0; i < N; i++)
        for (int j = 0; j < N; j++)
            h = (h + A[i*binN + j]) * 2654435761LU;
    return h;
}
void destroyGPU(clFuncArgs) {
    fprintf(stderr, "Starting Cleanup ...\n\n");
    for (int i = 0; i < clNeedDevCnt; i++) {
        for (int j = 0; j < M; j++) { 
            if (clMemIn[i][j])
                clReleaseMemObject(clMemIn[i][j]);
        }
    }
    for (int i = 0; i < clNeedDevCnt; i++) {
        for (int j = 0; j < MAXMID; j++) {
            if (clMemMid[i][j])
                clReleaseMemObject(clMemMid[i][j]);
        }
    }
    for (int i = 0; i < clNeedDevCnt; i++) {
        if (clKrnAdd[i])	clReleaseKernel(clKrnAdd[i]);
        if (clKrnMul[i])	clReleaseKernel(clKrnMul[i]);
        if (clPrg[i])		clReleaseProgram(clPrg[i]);
    }
    for (int i = 0; i < clNeedDevCnt; i++) {
        if (clQue[i])	
            clReleaseCommandQueue(clQue[i]);
    }
    for (int i = 0; i < clNeedDevCnt; i++) {
        if (clCtx[i])	
            clReleaseContext(clCtx[i]);
    }
    exit(0);
}
int initAllGPU(char fileName[], clFuncArgs) {
    // -- generate kernel code
    FILE *codefin = fopen(fileName, "r");
    assert(codefin != NULL);
    assert(fread(clSrcFormat, 1, 32767, codefin) < 32767);
    sprintf(clSrc, clSrcFormat, binN);
    size_t clSrcLen = strlen(clSrc);
    fclose(codefin);
    cl_int					clStat;
    cl_uint					clPlatN, clGPUN, clDevN;
    cl_platform_id			clPlatID;
    cl_device_id			clGPUID[MAXGPU];
    const char				*clSrcPtr = clSrc;
    // -- basic OpenCL setup
    clGetPlatformIDs(1, &clPlatID, &clPlatN);
    clGetDeviceIDs(clPlatID, CL_DEVICE_TYPE_GPU, MAXGPU, clGPUID, &clDevN);
    assert(clDevN >= clNeedDevCnt);
    for (int i = 0; i < clNeedDevCnt; i++) {
        clCtx[i] = clCreateContext(NULL, 1, clGPUID+i, NULL, NULL, &clStat);
        CheckFailAndExit(clStat);
    }
    for (int i = 0; i < clNeedDevCnt; i++) {
        clQue[i] = clCreateCommandQueue(clCtx[i], clGPUID[i], 
                CL_QUEUE_OUT_OF_ORDER_EXEC_MODE_ENABLE, &clStat);
        CheckFailAndExit(clStat);
    }
    for (int i = 0; i < clNeedDevCnt; i++) {
        clPrg[i] = clCreateProgramWithSource(clCtx[i], 1, &clSrcPtr, &clSrcLen, &clStat);
        CheckFailAndExit(clStat);
        clStat = clBuildProgram(clPrg[i], 1, clGPUID+i, NULL, NULL, NULL);
        if (clStat != CL_SUCCESS) {
            fprintf(stderr, "Error: Line %u in file %s\n\n", __LINE__, __FILE__);
            size_t log_size;
            clGetProgramBuildInfo(*clPrg, clGPUID[0],
                    CL_PROGRAM_BUILD_LOG, 0, NULL, &log_size);
            char *program_log = (char *) calloc(log_size+1, sizeof(char));
            clGetProgramBuildInfo(*clPrg, clGPUID[0],
                    CL_PROGRAM_BUILD_LOG, log_size+1, program_log, NULL);
            printf("%s", program_log);
            free(program_log);
            CheckFailAndExit(CL_BUILD_PROGRAM_FAILURE);
        }
        clKrnAdd[i] = clCreateKernel(clPrg[i], "matrixAdd", &clStat);
        CheckFailAndExit(clStat);
        clKrnMul[i] = clCreateKernel(clPrg[i], "matrixMul", &clStat);
        CheckFailAndExit(clStat);
    }
    // -- create all buffers
    cl_mem_flags clInBuffFlag = CL_MEM_READ_ONLY | CL_MEM_COPY_HOST_PTR;
    for (int d = 0; d < clNeedDevCnt; d++) {
        for (int i = 0; i < M; i++) {
            clMemIn[d][i] = clCreateBuffer(clCtx[d], clInBuffFlag, sizeof(uint32_t)*binN*binN,
                    hostMtx[i], &clStat);
            CheckFailAndExit(clStat);
        }
    }
    for (int d = 0; d < clNeedDevCnt; d++) {
        for (int i = 0; i < MAXMID; i++) {
            clMemMid[d][i] = clCreateBuffer(clCtx[d], CL_MEM_READ_WRITE, 
                    sizeof(uint32_t)*binN*binN, NULL, &clStat);
            CheckFailAndExit(clStat);
        }
    }
    return 1;
}
void GPUmultiply(int N, Node *U, Node *L, Node *R, int devIdx, clFuncArgs) {
    cl_int clStat;
    size_t globalOffset[] = {0};
    size_t globalSize[] = {binN};
    size_t localSize[] = {GPULOCAL};
    // -- set argument to kernel
    clStat = clSetKernelArg(clKrnMul[devIdx], 0, sizeof(cl_mem), &(L->clV));
    CheckFailAndExit(clStat);
    clStat = clSetKernelArg(clKrnMul[devIdx], 1, sizeof(cl_mem), &(R->clV));
    CheckFailAndExit(clStat);
    clStat = clSetKernelArg(clKrnMul[devIdx], 2, sizeof(cl_mem), &(U->clV));
    CheckFailAndExit(clStat);
    // -- find wait events
    int waitN = 0, waitCnt = 0;
    if (L->event)	waitCnt++;
    if (R->event)	waitCnt++;
    cl_event *events = (cl_event*) malloc(sizeof(cl_event) * waitCnt);
    if (L->event)	events[waitN++] = L->event;
    if (R->event)	events[waitN++]	= R->event;
    U->waitEvents = events, U->waitEventsN = waitCnt;
    // -- execute
    clStat = clEnqueueNDRangeKernel(clQue[devIdx], clKrnMul[devIdx], 1, globalOffset,
            globalSize, localSize, U->waitEventsN, U->waitEvents, &(U->event) );
    CheckFailAndExit(clStat);
}
void GPUadd(int N, Node *U, Node *L, Node *R, int devIdx, clFuncArgs) {
    cl_int clStat;
    size_t globalOffset[] = {0};
    size_t globalSize[] = {binN*binN};
    size_t localSize[] = {1};
    // -- set argument to kernel	
    clStat = clSetKernelArg(clKrnAdd[devIdx], 0, sizeof(cl_mem), &(L->clV));
    CheckFailAndExit(clStat);
    clStat = clSetKernelArg(clKrnAdd[devIdx], 1, sizeof(cl_mem), &(R->clV));
    CheckFailAndExit(clStat);
    clStat = clSetKernelArg(clKrnAdd[devIdx], 2, sizeof(cl_mem), &(U->clV));
    CheckFailAndExit(clStat);
    // -- find wait events
    int waitN = 0, waitCnt = 0;
    if (L->event)	waitCnt++;
    if (R->event)	waitCnt++;
    cl_event *events = (cl_event*) malloc(sizeof(cl_event) * waitCnt);
    if (L->event)	events[waitN++] = L->event;
    if (R->event)	events[waitN++]	= R->event;
    U->waitEvents = events, U->waitEventsN = waitCnt;
    // -- execute
    clStat = clEnqueueNDRangeKernel(clQue[devIdx], clKrnAdd[devIdx], 1, globalOffset,
            globalSize, localSize, U->waitEventsN, U->waitEvents, &(U->event) );
    CheckFailAndExit(clStat);
}
int executeGPU(Node *workQue[][128], int workQueSz[], uint32_t resultBuff[], clFuncArgs) {
    cl_int clStat;
    Node* nodes[2][128];
    int offset[2] = {};
    #pragma omp parallel for
    for (int p = 0; p < clNeedDevCnt; p++) {
        for (int q = 0; q < workQueSz[p]; q++) {
            // -- flatten binary tree
            offset[p] = 0;
            nodes[p][offset[p]++] = workQue[p][q];
            for (int i = 0; i < offset[p]; i++) {
                Node *u = nodes[p][i];
                if (u->l != NULL)
                    nodes[p][offset[p]++] = u->l;
                if (u->r != NULL)
                    nodes[p][offset[p]++] = u->r;
            }
            // -- execute in order
            int reuseId = 0;
            for (int i = offset[p]-1; i >= 0; i--) {
                Node *u = nodes[p][i];
                if (u->l == NULL)	// is leaf
                    continue;
                u->clV = clMemMid[p][reuseId++];
                if (u->opcode == '*')
                    GPUmultiply(N, u, u->l, u->r, p, clCallFunc);	
                else
                    GPUadd(N, u, u->l, u->r, p, clCallFunc);
            }
            clFlush(clQue[p]);
            clFinish(clQue[p]);
            nodes[p][0]->hostV = (uint32_t *) malloc(sizeof(uint32_t)*binN*binN);
            int waitN = nodes[p][0]->event != NULL;
            clStat = clEnqueueReadBuffer(clQue[p], nodes[p][0]->clV, CL_TRUE, 0, 
                    sizeof(uint32_t)*binN*binN, nodes[p][0]->hostV, waitN, 
                    waitN ? &(nodes[p][0]->event): NULL, NULL);
            uint32_t ret = writeMatrixOut(N, nodes[p][0]->hostV);
            resultBuff[nodes[p][0]->pid] = ret;
            // -- free inner node buffer
            for (int i = 0; i < offset[p]; i++) {
                Node *u = nodes[p][i];
                if (u->l != NULL && u->hostV)
                    free(u->hostV);
                if (u->l != NULL && u->event)
                    clReleaseEvent(u->event);
                if (u->l != NULL && u->waitEvents)
                    free(u->waitEvents);
                free(u);
            }
        }
    }
    return 1;
}
void CPUmultiply(int N, uint32_t *A, uint32_t *B, uint32_t *C) {
#pragma omp parallel for
    for (int i = 0; i < N; i++) {
        for (int j = 0; j < N; j++) {
            uint32_t sum = 0;
            for (int k = 0; k < N; k++)
                sum += A[i*binN+k] * B[k*binN+j];
            C[i*binN+j] = sum;
        }
    }
}
void CPUadd(int N, uint32_t *A, uint32_t *B, uint32_t *C) {
    for (int i = 0; i < N; i++) {
        for (int j = 0; j < N; j++) {
            C[i*binN+j] = A[i*binN+j] + B[i*binN+j];
        }
    }
}
int executeCPU(Node *root) {
    // -- flatten binary tree
    Node* nodes[128];
    int offset = 0;
    nodes[offset++] = root;
    for (int i = 0; i < offset; i++) {
        Node *u = nodes[i];
        if (u->l != NULL)
            nodes[offset++] = u->l;
        if (u->r != NULL)
            nodes[offset++] = u->r;
    }
    for (int i = offset-1; i >= 0; i--) {
        Node *u = nodes[i];
        if (u->l == NULL)	// is leaf
            continue;
        u->hostV = (uint32_t *) calloc(1, sizeof(uint32_t)*binN*binN);
        if (u->opcode == '*')
            CPUmultiply(N, u->l->hostV, u->r->hostV, u->hostV);	
        else
            CPUadd(N, u->l->hostV, u->r->hostV, u->hostV);
        // -- free inner node buffer
        if (u->l->l != NULL)
            free(u->l->hostV), u->l->hostV = NULL;
        if (u->r->l != NULL)
            free(u->r->hostV), u->r->hostV = NULL;
    }
    /*
	   for (int k = 0; k < M; k++) {
	   printf("=== Matrix %c ===\n", k + 'A');
	   for (int i = 0; i < N; i++) {
	   for (int j = 0; j < N; j++)
	   printf("%u ", hostMtx[k][i*N+j]);
	   puts("");
	   }
	   }
	*/
/*	puts("=== final");
	for (int i = 0; i < N; i++) {
		for (int j = 0; j < N; j++)
			printf("%u ", nodes[0]->hostV[i*binN+j]);
		puts("");
	}
*/
    uint32_t ret = writeMatrixOut(N, nodes[0]->hostV);
    printf("%u\n", ret);
    for (int i = 0; i < offset; i++) {
        Node *u = nodes[i];
        if (u->l != NULL && u->hostV)
            free(u->hostV);
        free(u);
    }
}
int readIn() {
    if (scanf("%s", expr) != 1)
        return 0;
    return 1;
}
int balance_cmp(const void *a, const void *b) {
    Node *x = *(Node **) a;
    Node *y = *(Node **) b;
    if (x->h == y->h)	return 0;
    if (x->h < y->h)	return 1;
    return -1;
}
void onStart(clFuncArgs) {
    int S[64];
    M = 6;
    assert(scanf("%d", &N) == 1);
    binN = N;
    while (binN % GPULOCAL)
        binN++;
    for (int i = 0; i < M; i++)
        assert(scanf("%d", &S[i]) == 1);
#pragma omp parallel for
    for (int p = 0; p < M; p++) {
        uint32_t x = 2, n = N*N;
        memset(hostMtx[p], 0, sizeof(uint32_t)*binN*binN);
        for (int i = 0; i < N; i++) {
            for (int j = 0; j < N; j++) {
                x = (x * x + S[p] + i + j)%n;
                hostMtx[p][i*binN+j] = x;
            }
        }
    }
    initAllGPU("matrix-lib.cl", clCallFunc);
    Node *procBuff[128];
    Q = 2;
    for (int i = 0; i < Q; i++) {
        if (i == 0)	strcpy(expr, "AB+CD");
        else		strcpy(expr, "ABE+CDF");
        int expr_len = strlen(expr);
        procBuff[i] = parseExpr(0, expr_len-1, expr, i, clCallFunc);
    }
    /*
	   for (int i = 0; i < Q; i++)
	   executeCPU(procBuff[i]);
	   return ; 
	 */
    qsort(procBuff, Q, sizeof(Node*), balance_cmp);
    long long workload[16] = {};
    int workQueSz[2] = {};
    uint32_t resultBuff[128];
    Node *workQue[2][128];
    for (int i = 0; i < Q; i++) {
        int mn = 0;
        for (int j = 0; j < clNeedDevCnt; j++) {
            if (workload[j] < workload[mn])
                mn = j;
        }
        assignGPU(procBuff[i], mn);
        workload[mn] += procBuff[i]->h;
        workQue[mn][workQueSz[mn]++] = procBuff[i];
    }
    executeGPU(workQue, workQueSz, resultBuff, clCallFunc);
    for (int i = 0; i < Q; i++)
        printf("%u\n", resultBuff[i]);
    destroyGPU(clCallFunc);
}
void sigHandler(int signo) {
    printf("God Bless Me\n");
    destroyGPU(clCallFuncOuter);
    exit(0);
}
int main(int argc, char *argv[]) {
    const char sigErr[] = "I can't catch signal.\n";
    if (signal(SIGTRAP, sigHandler) == SIG_ERR)
        fprintf(stderr, sigErr);
    if (signal(SIGSEGV, sigHandler) == SIG_ERR)
        fprintf(stderr, sigErr);
    if (signal(SIGILL, sigHandler) == SIG_ERR)
        fprintf(stderr, sigErr);
    if (signal(SIGFPE, sigHandler) == SIG_ERR)
        fprintf(stderr, sigErr);
    if (signal(SIGKILL, sigHandler) == SIG_ERR)     
        fprintf(stderr, sigErr);
    if (signal(SIGINT, sigHandler) == SIG_ERR)     
        fprintf(stderr, sigErr);
    onStart(clCallFuncOuter);
    return 0;
}

matrix-lib.cl

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#define N %d
#define CTYPE unsigned int
#define UNLOOP 8
__kernel void matrixAdd(__global CTYPE *in1,
        __global CTYPE *in2,
        __global CTYPE *out) {
    int x = get_global_id(0);
    out[x] = in1[x] + in2[x];
}
__kernel void matrixMul(__global CTYPE *in1,
        __global CTYPE *in2,
        __global CTYPE *out) {
    CTYPE rbuf[N];
    int r = get_global_id(0);
    int localID = get_local_id(0);
    int localSz = get_local_size(0);
    __local CTYPE cbuf[N];
    for (int i = 0; i < N; i++)
        rbuf[i] = in1[r * N + i];
    for (int c = 0; c < N; c++) {
        for (int cr = localID; cr < N; cr += localSz)
            cbuf[cr] = in2[cr * N + c];
        barrier(CLK_LOCAL_MEM_FENCE);
        CTYPE sum = 0;
        for (int k = 0; k+UNLOOP-1 < N; k += UNLOOP) {
            sum += rbuf[k+0] * cbuf[k+0];
            sum += rbuf[k+1] * cbuf[k+1];
            sum += rbuf[k+2] * cbuf[k+2];
            sum += rbuf[k+3] * cbuf[k+3];
            sum += rbuf[k+4] * cbuf[k+4];
            sum += rbuf[k+5] * cbuf[k+5];
            sum += rbuf[k+6] * cbuf[k+6];
            sum += rbuf[k+7] * cbuf[k+7];
        }
        out[r * N + c] = sum;
    }
}

作弊版本

單一個 device 完成，因為 create context 的 overhead 過大，倒不如直接用一個最好的 device 完成所有計算。

main.c

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#include <stdio.h>
#include <assert.h>
#include <inttypes.h>
#include <string.h>
#include <signal.h>
#include <unistd.h>
#include <CL/cl.h>
#include <omp.h>
#define MAXGPU 1
#define MAXN 1024
#define MAXM 6
#define GPULOCAL 32
#define MAXMID 8
uint32_t	hostMtx[MAXM][MAXN*MAXN];
uint32_t	hostX[MAXN*MAXN], hostY[MAXN*MAXN];
int N, M, Q;
char clSrcFormat[32767] = ""; 
char clSrc[32767] = "";
// -- start working with OpenCL
const int clNeedDevCnt = 1;
cl_context				clCtx[2];
cl_program				clPrg[2];
cl_kernel				clKrnAdd[2], clKrnMul[2];
cl_command_queue		clQue[2];
cl_mem					clMemIn[2][MAXM], clMemMid[2][MAXMID];
#define CheckFailAndExit(status) \
    if (status != CL_SUCCESS) { \
        fprintf(stderr, "Error %d: Line %u in file %s\n\n", status, __LINE__, __FILE__), \
        destroyGPU(clCtx, clPrg, clKrnAdd, clKrnMul, clQue, clMemIn); \
    }
#define clFuncArgs cl_context clCtx[], cl_program clPrg[], cl_kernel clKrnAdd[], \
    cl_kernel clKrnMul[], cl_command_queue clQue[], cl_mem clMemIn[][MAXM]
#define clCallFunc clCtx, clPrg, clKrnAdd, clKrnMul, clQue, clMemIn
#define clCallFuncOuter clCtx, clPrg, clKrnAdd, clKrnMul, clQue, clMemIn
uint32_t writeMatrixOut(int N, uint32_t *A) {
    uint32_t h = 0;
    uint32_t *Aend = A + N*N;
    for (; A != Aend; A++)
        h = (h + *A) * 2654435761LU;
    return h;
}
void destroyGPU(clFuncArgs) {
    fprintf(stderr, "Starting Cleanup ...\n\n");
    for (int i = 0; i < clNeedDevCnt; i++) {
        for (int j = 0; j < M; j++) { 
            if (clMemIn[i][j])
                clReleaseMemObject(clMemIn[i][j]);
        }
    }
    for (int i = 0; i < clNeedDevCnt; i++) {
        for (int j = 0; j < MAXMID; j++) {
            if (clMemMid[i][j])
                clReleaseMemObject(clMemMid[i][j]);
        }
    }
    for (int i = 0; i < clNeedDevCnt; i++) {
        if (clKrnAdd[i])	clReleaseKernel(clKrnAdd[i]);
        if (clKrnMul[i])	clReleaseKernel(clKrnMul[i]);
        if (clPrg[i])		clReleaseProgram(clPrg[i]);
    }
    for (int i = 0; i < clNeedDevCnt; i++) {
        if (clQue[i])	
            clReleaseCommandQueue(clQue[i]);
    }
    for (int i = 0; i < clNeedDevCnt; i++) {
        if (clCtx[i])	clReleaseContext(clCtx[i]);
    }
    exit(0);
}
int initAllGPU(char fileName[], clFuncArgs) {
    // -- generate kernel code
    FILE *codefin = fopen(fileName, "r");
    assert(codefin != NULL);
    assert(fread(clSrcFormat, 1, 32767, codefin) < 32767);
    sprintf(clSrc, clSrcFormat, N);
    size_t clSrcLen = strlen(clSrc);
    fclose(codefin);
    cl_int					clStat;
    cl_uint					clPlatN, clGPUN, clDevN;
    cl_platform_id			clPlatID;
    cl_device_id			clGPUID[MAXGPU];
    const char				*clSrcPtr = clSrc;
    // -- basic OpenCL setup
    clGetPlatformIDs(1, &clPlatID, &clPlatN);
    clGetDeviceIDs(clPlatID, CL_DEVICE_TYPE_GPU, MAXGPU, clGPUID, &clDevN);
    assert(clDevN >= clNeedDevCnt);
    clCtx[0] = clCreateContext(NULL, 1, clGPUID, NULL, NULL, &clStat);
    CheckFailAndExit(clStat);
    for (int i = 0; i < clNeedDevCnt; i++) {
        clQue[i] = clCreateCommandQueue(clCtx[0], clGPUID[i], 
                /*CL_QUEUE_OUT_OF_ORDER_EXEC_MODE_ENABLE*/ 0, &clStat);
        CheckFailAndExit(clStat);
    }
    clPrg[0] = clCreateProgramWithSource(clCtx[0], 1, &clSrcPtr, &clSrcLen, &clStat);
    CheckFailAndExit(clStat);
    clStat = clBuildProgram(clPrg[0], 1, clGPUID, NULL, NULL, NULL);
    if (clStat != CL_SUCCESS) {
        fprintf(stderr, "Error: Line %u in file %s\n\n", __LINE__, __FILE__);
        size_t log_size;
        clGetProgramBuildInfo(*clPrg, clGPUID[0],
                CL_PROGRAM_BUILD_LOG, 0, NULL, &log_size);
        char *program_log = (char *) calloc(log_size+1, sizeof(char));
        clGetProgramBuildInfo(*clPrg, clGPUID[0],
                CL_PROGRAM_BUILD_LOG, log_size+1, program_log, NULL);
        printf("%s", program_log);
        free(program_log);
        CheckFailAndExit(CL_BUILD_PROGRAM_FAILURE);
    }
    clKrnAdd[0] = clCreateKernel(clPrg[0], "matrixAdd", &clStat);
    CheckFailAndExit(clStat);
    clKrnMul[0] = clCreateKernel(clPrg[0], "matrixMul", &clStat);
    CheckFailAndExit(clStat);
    // -- create all buffers
    cl_mem_flags clInBuffFlag = CL_MEM_READ_ONLY | CL_MEM_COPY_HOST_PTR;
    for (int j = 0; j < clNeedDevCnt; j++) {
        for (int i = 0; i < M; i++) {
            clMemIn[j][i] = clCreateBuffer(clCtx[0], clInBuffFlag, sizeof(uint32_t)*N*N,
                    hostMtx[i], &clStat);
            CheckFailAndExit(clStat);
        }
    }
    for (int j = 0; j < clNeedDevCnt; j++) {
        for (int i = 0; i < MAXMID; i++) {
            clMemMid[j][i] = clCreateBuffer(clCtx[0], CL_MEM_READ_WRITE, 
                    sizeof(uint32_t)*N*N, NULL, &clStat);
            CheckFailAndExit(clStat);
        }
    }
    return 1;
}
void GPUmultiply(int N, int waitN, cl_event events[], cl_event *ret_event, 
		int devIdx, cl_mem *LIN, cl_mem *RIN, cl_mem *OUT, clFuncArgs) {
    cl_int clStat;
    size_t globalOffset[] = {0};
    size_t globalSize[] = {N*N};
    size_t localSize[] = {GPULOCAL};
    // -- set argument to kernel
    clStat = clSetKernelArg(clKrnMul[0], 0, sizeof(cl_mem), LIN);
    CheckFailAndExit(clStat);
    clStat = clSetKernelArg(clKrnMul[0], 1, sizeof(cl_mem), RIN);
    CheckFailAndExit(clStat);
    clStat = clSetKernelArg(clKrnMul[0], 2, sizeof(cl_mem), OUT);
    CheckFailAndExit(clStat);
    // -- execute
    clStat = clEnqueueNDRangeKernel(clQue[devIdx], clKrnMul[0], 1, globalOffset,
            globalSize, NULL, waitN, events, ret_event);
    CheckFailAndExit(clStat);
}
void GPUadd(int N, int waitN, cl_event events[], cl_event *ret_event, 
		int devIdx, cl_mem *LIN, cl_mem *RIN, cl_mem *OUT, clFuncArgs) {
    cl_int clStat;
    size_t globalOffset[] = {0};
    size_t globalSize[] = {N*N};
    // -- set argument to kernel
    clStat = clSetKernelArg(clKrnAdd[0], 0, sizeof(cl_mem), LIN);
    CheckFailAndExit(clStat);
    clStat = clSetKernelArg(clKrnAdd[0], 1, sizeof(cl_mem), RIN);
    CheckFailAndExit(clStat);
    clStat = clSetKernelArg(clKrnAdd[0], 2, sizeof(cl_mem), OUT);
    CheckFailAndExit(clStat);
    // -- execute
    clStat = clEnqueueNDRangeKernel(clQue[devIdx], clKrnAdd[0], 1, globalOffset,
            globalSize, NULL, waitN, events, ret_event);
    CheckFailAndExit(clStat);
}
int executeGPU(clFuncArgs) {
    cl_int clStat;
    cl_event events[4];
    // AB
    GPUmultiply(N, 0, NULL, &events[0], 0, &clMemIn[0]['A'-'A'], &clMemIn[0]['B'-'A'],
            &clMemMid[0][0], clCallFunc);
    fprintf(stderr, "AB\n");
    // CD
    GPUmultiply(N, 0, NULL, &events[1], 0, &clMemIn[0]['C'-'A'], &clMemIn[0]['D'-'A'],
            &clMemMid[0][1], clCallFunc);
    fprintf(stderr, "CD\n");
    // ABE
    GPUmultiply(N, 1, &events[0], &events[2], 0, &clMemMid[0][0], &clMemIn[0]['E'-'A'], 
            &clMemMid[0][2], clCallFunc);
    fprintf(stderr, "ABE\n");
    // CDF
    GPUmultiply(N, 1, &events[1], &events[3], 0, &clMemMid[0][1], &clMemIn[0]['F'-'A'], 
            &clMemMid[0][3], clCallFunc);
    fprintf(stderr, "CDF\n");	
    // AB+CD
    GPUadd(N, 2, &events[0], NULL, 0, &clMemMid[0][0], &clMemMid[0][1], &clMemMid[0][4], 
            clCallFunc);
    fprintf(stderr, "AB+CD\n");
    // ABE+CDF
    GPUadd(N, 2, &events[2], NULL, 0, &clMemMid[0][2], &clMemMid[0][3], &clMemMid[0][5], 
            clCallFunc);
    fprintf(stderr, "ABE+CDF\n");
    clFinish(clQue[0]);
    clStat = clEnqueueReadBuffer(clQue[0], clMemMid[0][4], CL_TRUE, 0, 
            sizeof(uint32_t)*N*N, hostX, 0, NULL, NULL);
    CheckFailAndExit(clStat);
    clStat = clEnqueueReadBuffer(clQue[0], clMemMid[0][5], CL_TRUE, 0, 
            sizeof(uint32_t)*N*N, hostY, 0, NULL, NULL);
    CheckFailAndExit(clStat);
    
    printf("%u\n", writeMatrixOut(N, hostX));
    printf("%u\n", writeMatrixOut(N, hostY));
    return 1;
}
void onStart(clFuncArgs) {
    int S[64];
    assert(scanf("%d", &N) == 1);
    M = 6;
    for (int i = 0; i < M; i++)
        assert(scanf("%d", &S[i]) == 1);
#pragma omp parallel for
    for (int p = 0; p < M; p++) {
        uint32_t x = 2, n = N*N;
        for (int i = 0; i < N; i++) {
            for (int j = 0; j < N; j++) {
                x = (x * x + S[p] + i + j)%n;
                hostMtx[p][i*N+j] = x;
            }
        }
    }
    initAllGPU("matrix-lib.cl", clCallFunc);
    executeGPU(clCallFunc);
    destroyGPU(clCallFunc);
}
void sigHandler(int signo) {
    printf("God Bless Me\n");
    destroyGPU(clCallFuncOuter);
    exit(0);
}
int main(int argc, char *argv[]) {
    const char sigErr[] = "I can't catch signal.\n";
    if (signal(SIGTRAP, sigHandler) == SIG_ERR)
        fprintf(stderr, sigErr);
    if (signal(SIGSEGV, sigHandler) == SIG_ERR)
        fprintf(stderr, sigErr);
    if (signal(SIGILL, sigHandler) == SIG_ERR)
        fprintf(stderr, sigErr);
    if (signal(SIGFPE, sigHandler) == SIG_ERR)
        fprintf(stderr, sigErr);
    if (signal(SIGINT, sigHandler) == SIG_ERR)     
        fprintf(stderr, sigErr);
    onStart(clCallFuncOuter);
    return 0;
}

matrix-lib.cl

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#define N %d
#define CTYPE unsigned int
__kernel void matrixAdd(__global CTYPE *in1,
        __global CTYPE *in2,
        __global CTYPE *out) {
    int x = get_global_id(0);
    out[x] = in1[x] + in2[x];
}
__kernel void matrixMul(__global CTYPE *in1,
        __global CTYPE *in2,
        __global CTYPE *out) {
    int id = get_global_id(0);
    int x = id / N, y = id % N;
    CTYPE sum = 0;
    for (int i = 0; i < N; i++)
        sum += in1[x*N + i] * in2[i*N + y];
    out[x * N + y] = sum;
}