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我编写了一个简单的程序来实现 SSE 内在函数,用于计算两个大(100000 或更多元素)向量的内积。该程序比较了两者的执行时间,内积计算传统方式和使用内在函数。一切正常,直到我在计算内积的语句之前插入(只是为了好玩)一个内循环。在我继续之前,这里是代码:

    //this is a sample Intrinsics program to compute inner product of two vectors and compare Intrinsics with traditional method of doing things.

        #include <iostream>
        #include <iomanip>
        #include <xmmintrin.h>
        #include <stdio.h>
        #include <time.h>
        #include <stdlib.h>
        using namespace std;

        typedef float v4sf __attribute__ ((vector_size(16)));

        double innerProduct(float* arr1, int len1, float* arr2, int len2) {  //assume len1 = len2.

          float result = 0.0;
          for(int i = 0; i < len1; i++) {
            for(int j = 0; j < len1; j++) {
              result += (arr1[i] * arr2[i]);
            }
          }

         //float y = 1.23e+09;
         //cout << "y = " << y << endl;
         return result;
        }

        double sse_v4sf_innerProduct(float* arr1, int len1, float* arr2, int len2) { //assume that len1 = len2.

          if(len1 != len2) {
            cout << "Lengths not equal." << endl;
            exit(1);
          }

          /*steps:
         * 1. load a long-type (4 float) into a v4sf type data from both arrays.
         * 2. multiply the two.
         * 3. multiply the same and store result.
         * 4. add this to previous results.
         */

          v4sf arr1Data, arr2Data, prevSums, multVal, xyz;
          //__builtin_ia32_xorps(prevSums, prevSums);   //making it equal zero.
         //can explicitly load 0 into prevSums using loadps or storeps (Check).

          float temp[4] = {0.0, 0.0, 0.0, 0.0};
          prevSums = __builtin_ia32_loadups(temp);
          float result = 0.0;

          for(int i = 0; i < (len1 - 3); i += 4) {
            for(int j = 0; j < len1; j++) {
            arr1Data = __builtin_ia32_loadups(&arr1[i]);
            arr2Data = __builtin_ia32_loadups(&arr2[i]);  //store the contents of two arrays.
            multVal = __builtin_ia32_mulps(arr1Data, arr2Data);   //multiply.
            xyz = __builtin_ia32_addps(multVal, prevSums);
            prevSums = xyz;
          }
         }
          //prevSums will hold the sums of 4 32-bit floating point values taken at a time. Individual entries in prevSums also need to be added.
          __builtin_ia32_storeups(temp, prevSums);  //store prevSums into temp.

           cout << "Values of temp:" << endl;
           for(int i = 0; i < 4; i++)
             cout << temp[i] << endl;

          result += temp[0] + temp[1] + temp[2] + temp[3];

        return result;
        }

        int main() {
          clock_t begin, end;
          int length = 100000;
          float *arr1, *arr2;
          double result_Conventional, result_Intrinsic;

 //         printStats("Allocating memory.");
          arr1 = new float[length];
          arr2 = new float[length];
 //         printStats("End allocation.");

          srand(time(NULL));  //init random seed.
 //         printStats("Initializing array1 and array2");
          begin = clock();
          for(int i = 0; i < length; i++) {
         //   for(int j = 0; j < length; j++) {
          //    arr1[i] = rand() % 10 + 1;
                arr1[i] = 2.5;
           //    arr2[i] = rand() % 10 - 1;
                arr2[i] = 2.5;
         //   }
          }
          end = clock();
          cout << "Time to initialize array1 and array2 = " << ((double) (end - begin)) / CLOCKS_PER_SEC << endl;
  //        printStats("Finished initialization.");

    //      printStats("Begin inner product conventionally.");
          begin = clock();
          result_Conventional = innerProduct(arr1, length, arr2, length);
          end = clock();
          cout << "Time to compute inner product conventionally = " << ((double) (end - begin)) / CLOCKS_PER_SEC << endl;
    //      printStats("End inner product conventionally.");

      //    printStats("Begin inner product using Intrinsics.");
          begin = clock();
          result_Intrinsic = sse_v4sf_innerProduct(arr1, length, arr2, length);
          end = clock();
          cout << "Time to compute inner product with intrinsics = " << ((double) (end - begin)) / CLOCKS_PER_SEC << endl;
          //printStats("End inner product using Intrinsics.");

          cout << "Results: " << endl;
          cout << " result_Conventional = " << result_Conventional << endl;
          cout << " result_Intrinsics = " << result_Intrinsic << endl;
        return 0;
        }

我使用以下 g++ 调用来构建它:

 g++ -W -Wall -O2 -pedantic -march=i386 -msse intrinsics_SSE_innerProduct.C -o innerProduct  

上面的每个循环,在这两个函数中,总共运行 N^2 次。但是,假设 arr1 和 arr2(两个浮点向量)加载的值为 2.5,则数组的长度为 100,000,两种情况下的结果都应为 6.25e+10。我得到的结果是:

结果:
result_Conventional = 6.25e+10
result_Intrinsics = 5.36871e+08

这还不是全部。从使用内在函数的函数返回的值似乎在上述值处“饱和”。我尝试为数组元素和不同大小设置其他值。但似乎数组内容的任何大于 1.0 的值和大于 1000 的任何大小都符合我们在上面看到的相同值。

最初,我认为这可能是因为 SSE 中的所有操作都是浮点数,但浮点数应该能够存储 e+08 数量级的数字。

我试图看看我可能出错的地方,但似乎无法弄清楚。我正在使用 g++ 版本:g++ (GCC) 4.4.1 20090725 (Red Hat 4.4.1-2)。

非常欢迎对此提供任何帮助。

谢谢,
斯里拉姆。

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1 回答 1

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您遇到的问题是,虽然 afloat可以存储 6.25e+10,但它只有几个有效数字的精度。

这意味着,当您通过一次将许多小数字加在一起来构建大数字时,您会到达一个点,即较小的数字小于较大数字中的最低精度数字,因此将其相加没有效果。

至于为什么您在非内在版本中没有得到这种行为,很可能该result变量被保存在一个寄存器中,该寄存器使用的精度比浮点的实际存储精度更高,因此它不会被截断为float在循环的每次迭代中。您必须查看生成的汇编代码才能确定。

于 2010-06-01T06:41:44.763 回答