在尝试加速我的加密内核时,IPC
ILP
次32-bit int
次调查ADD
次。内核由相当展开的XOR
和160 ops
长序列循环组成,在Kepler上每个循环的吞吐量应为192
GTX Titan/780
个IPC
}})。
3.28
命中ILP
的上限。使用IPC
甚至删除ILP
。显然ILP 4
无法帮助实现我的目标 - 充分利用管道,所以我写了一些小实验。我把cubin
的代码放在最后。
Executed IPC
输出以确保在优化期间不会消除任何指令。IPC
与发布的XOR
几乎相同,所以我只列出其中一个。 ADD说明( | ILP 1 | ILP 2 | ILP 4 | ILP 8
--------------------------------------------------
IPC | 4.00 | 3.32 | 2.72 | 3.44
--------------------------------------------------
Issue Slot | 99.17% | 59.34% | 48.61% | 61.71%
Utilization | | | |
具有相同的行为)
ILP
2
4
,8
和160
可以提供更好的效果,但不会。4
。每个SM的5
warp调度程序应该是每个周期最多IPC
个指令的双重问题,因此5
应该朝IPC = 4
方向发展。我如何解释我观察到的内容?为什么在ILP 4
?Float / Int ADD指令组合
如果我修改int
的代码来执行两个ADD
float
和两个ADD
IPC: 5.1
Issue slot utilization: 99.12%
s:
ILP
奇怪的是,似乎warp调度程序在发出浮动操作方面做得更好。
ILP
帮助达到浮点运算的最高性能。为什么2.25
不适用于整数?如何对整数运算执行此操作?cuobjdump
整数运算。这与我在2^48
中观察到的一致。有2.25 * 2^48 / (2688 * 160/192) / 876 MHz = 322.75s
个候选者,因此GTX Titan上的最小运行时应为523s
。这个估计合理吗?160 * 3.28 (measure IPC) / 5 (max IPC)
。这确实意味着整数吞吐量仅为__device__ int x[10];
__global__ void test(int flag = 0)
{
int a = x[0], b = x[1], c = x[2], d = x[3];
int _a = x[4], _b = x[5], _c = x[6], _d = x[7];
#pragma unroll 128
for (int i = 0; i < 51200; ++i)
{
asm volatile("add.u32 %0, %0, %1;": "+r"(a): "r"(_a));
asm volatile("add.u32 %0, %0, %1;": "+r"(b): "r"(_b));
asm volatile("add.u32 %0, %0, %1;": "+r"(c): "r"(_c));
asm volatile("add.u32 %0, %0, %1;": "+r"(d): "r"(_d));
}
int v = a + b + c + d;
if (flag * v == 1)
x[0] = v;
}
。9 / 4 = 2.25
每位候选人都需要Cuobjdump
次操作。 d ^= d2(1, 3); // d2 is located in constant memory
s ^= d;
t ^= d2(1, 16);
u ^= d2(1, 17);
v ^= some_const;
flag_s = min(flag_s, s); // int min has throughput of 160
flag_t = flag_t || (s == t); // setp.or should be the same
flag_u = flag_u || (s == u);
flag_v = flag_v || (s == v);
也会对此进行验证。
{{1}}
答案 0 :(得分:1)
我正在提供一个从未答复的清单中删除此问题的答案。
我发现executed Instructions Per Count
(IPC
)与Instruction Level Parallelism
的变化不一致。总的来说,很难在不知道任何进一步信息的情况下争论OP所观察到的效果的原因,而是由OP自己提供(f.i.,发射配置)。
在下面的代码中,我正在考虑使用float
的示例,尽管我已使用int
测试了相同的代码而未更改概念结果。该代码使用Multiply Add
,MAD
和ILP=1
实现了周期性ILP=2
(ILP=4
)操作。
executed IPC
以下是
ILP IPC FLOPs
1 3.924 67108864
2 4.323 67108864
4 4.016 67108864
代表N=8192
。代码已使用CUDA 8.0
进行编译,并在NVIDIA GT920M
上运行。可以看出,对于IPC
的不同考虑值,ILP
几乎保持不变。假设Floating Point Operations
FLOP
每2
的代码估算的FLOP
(MAD
s)与Visual Profiler测量的结果一致。
代码
#include<stdio.h>
#define N_ITERATIONS 8192
#include "Utilities.cuh"
#include "TimingGPU.cuh"
#define BLOCKSIZE 512
//#define DEBUG
/********************************************************/
/* KERNEL0 - NO INSTRUCTION LEVEL PARALLELISM (ILP = 0) */
/********************************************************/
__global__ void kernel0(float * __restrict__ d_a, const float * __restrict__ d_b, const float * __restrict__ d_c, const int N) {
const int tid = threadIdx.x + blockIdx.x * blockDim.x;
if (tid < N) {
float a = d_a[tid];
float b = d_b[tid];
float c = d_c[tid];
for (unsigned int i = 0; i < N_ITERATIONS; i++) {
a = a * b + c;
}
d_a[tid] = a;
}
}
/*****************************************************/
/* KERNEL1 - INSTRUCTION LEVEL PARALLELISM (ILP = 2) */
/*****************************************************/
__global__ void kernel1(float * __restrict__ d_a, const float * __restrict__ d_b, const float * __restrict__ d_c, const int N) {
const int tid = threadIdx.x + blockIdx.x * blockDim.x;
if (tid < N / 2) {
float a1 = d_a[tid];
float b1 = d_b[tid];
float c1 = d_c[tid];
float a2 = d_a[tid + N / 2];
float b2 = d_b[tid + N / 2];
float c2 = d_c[tid + N / 2];
for (unsigned int i = 0; i < N_ITERATIONS; i++) {
a1 = a1 * b1 + c1;
a2 = a2 * b2 + c2;
}
d_a[tid] = a1;
d_a[tid + N / 2] = a2;
}
}
/*****************************************************/
/* KERNEL2 - INSTRUCTION LEVEL PARALLELISM (ILP = 4) */
/*****************************************************/
__global__ void kernel2(float * __restrict__ d_a, const float * __restrict__ d_b, const float * __restrict__ d_c, const int N) {
const int tid = threadIdx.x + blockIdx.x * blockDim.x;
if (tid < N / 4) {
float a1 = d_a[tid];
float b1 = d_b[tid];
float c1 = d_c[tid];
float a2 = d_a[tid + N / 4];
float b2 = d_b[tid + N / 4];
float c2 = d_c[tid + N / 4];
float a3 = d_a[tid + N / 2];
float b3 = d_b[tid + N / 2];
float c3 = d_c[tid + N / 2];
float a4 = d_a[tid + 3 * N / 4];
float b4 = d_b[tid + 3 * N / 4];
float c4 = d_c[tid + 3 * N / 4];
for (unsigned int i = 0; i < N_ITERATIONS; i++) {
a1 = a1 * b1 + c1;
a2 = a2 * b2 + c2;
a3 = a3 * b3 + c3;
a4 = a4 * b4 + c4;
}
d_a[tid] = a1;
d_a[tid + N / 4] = a2;
d_a[tid + N / 2] = a3;
d_a[tid + 3 * N / 4] = a4;
}
}
/********/
/* MAIN */
/********/
int main() {
//const int N = 8192 * 64;
const int N = 8192;
//const int N = 1024;
TimingGPU timerGPU;
float *h_a = (float*)malloc(N*sizeof(float));
float *h_a_result_host = (float*)malloc(N*sizeof(float));
float *h_a_result_device = (float*)malloc(N*sizeof(float));
float *h_b = (float*)malloc(N*sizeof(float));
float *h_c = (float*)malloc(N*sizeof(float));
for (int i = 0; i<N; i++) {
h_a[i] = 2.;
h_b[i] = 1.;
h_c[i] = 2.;
h_a_result_host[i] = h_a[i];
for (unsigned int k = 0; k < N_ITERATIONS; k++) {
h_a_result_host[i] = h_a_result_host[i] * h_b[i] + h_c[i];
}
}
float *d_a; gpuErrchk(cudaMalloc((void**)&d_a, N*sizeof(float)));
float *d_b; gpuErrchk(cudaMalloc((void**)&d_b, N*sizeof(float)));
float *d_c; gpuErrchk(cudaMalloc((void**)&d_c, N*sizeof(float)));
gpuErrchk(cudaMemcpy(d_a, h_a, N*sizeof(float), cudaMemcpyHostToDevice));
gpuErrchk(cudaMemcpy(d_b, h_b, N*sizeof(float), cudaMemcpyHostToDevice));
gpuErrchk(cudaMemcpy(d_c, h_c, N*sizeof(float), cudaMemcpyHostToDevice));
/***********/
/* KERNEL0 */
/***********/
timerGPU.StartCounter();
kernel0 << <iDivUp(N, BLOCKSIZE), BLOCKSIZE >> >(d_a, d_b, d_c, N);
#ifdef DEBUG
gpuErrchk(cudaPeekAtLastError());
gpuErrchk(cudaDeviceSynchronize());
#endif
// --- Remember: timing is in ms
printf("Number of operations = %f; GFlops = %f\n", (float)N*(float)N_ITERATIONS, (1.e-6)*((float)N*(float)N_ITERATIONS) / timerGPU.GetCounter());
gpuErrchk(cudaMemcpy(h_a_result_device, d_a, N*sizeof(float), cudaMemcpyDeviceToHost));
for (int i = 0; i<N; i++) if (h_a_result_device[i] != h_a_result_host[i]) { printf("Error at i=%i! Host = %f; Device = %f\n", i, h_a_result_host[i], h_a_result_device[i]); return 1; }
/***********/
/* KERNEL1 */
/***********/
gpuErrchk(cudaMemcpy(d_a, h_a, N*sizeof(float), cudaMemcpyHostToDevice));
timerGPU.StartCounter();
kernel1 << <iDivUp(N / 2, BLOCKSIZE), BLOCKSIZE >> >(d_a, d_b, d_c, N);
#ifdef DEBUG
gpuErrchk(cudaPeekAtLastError());
gpuErrchk(cudaDeviceSynchronize());
#endif
// --- Remember: timing is in ms
printf("Number of operations = %f; GFlops = %f\n", (float)N*(float)N_ITERATIONS, (1.e-6)*((float)N*(float)N_ITERATIONS) / timerGPU.GetCounter());
gpuErrchk(cudaMemcpy(h_a_result_device, d_a, N*sizeof(float), cudaMemcpyDeviceToHost));
for (int i = 0; i<N; i++) if (h_a_result_device[i] != h_a_result_host[i]) { printf("Error at i=%i! Host = %f; Device = %f\n", i, h_a_result_host[i], h_a_result_device[i]); return 1; }
/***********/
/* KERNEL2 */
/***********/
gpuErrchk(cudaMemcpy(d_a, h_a, N*sizeof(float), cudaMemcpyHostToDevice));
timerGPU.StartCounter();
kernel2 << <iDivUp(N / 4, BLOCKSIZE), BLOCKSIZE >> >(d_a, d_b, d_c, N);
#ifdef DEBUG
gpuErrchk(cudaPeekAtLastError());
gpuErrchk(cudaDeviceSynchronize());
#endif
// --- Remember: timing is in ms
printf("Number of operations = %f; GFlops = %f\n", (float)N*(float)N_ITERATIONS, (1.e-6)*((float)N*(float)N_ITERATIONS) / timerGPU.GetCounter());
gpuErrchk(cudaMemcpy(h_a_result_device, d_a, N*sizeof(float), cudaMemcpyDeviceToHost));
for (int i = 0; i<N; i++) if (h_a_result_device[i] != h_a_result_host[i]) { printf("Error at i=%i! Host = %f; Device = %f\n", i, h_a_result_host[i], h_a_result_device[i]); return 1; }
cudaDeviceReset();
return 0;
}