Inefficient memory access and irregular access to steps

I am trying to optimize this function:

bool interpolate(const Mat &im, float ofsx, float ofsy, float a11, float a12, float a21, float a22, Mat &res)
{         
   bool ret = false;
   // input size (-1 for the safe bilinear interpolation)
   const int width = im.cols-1;
   const int height = im.rows-1;
   // output size
   const int halfWidth  = res.cols >> 1;
   const int halfHeight = res.rows >> 1;
   float *out = res.ptr<float>(0);
   const float *imptr  = im.ptr<float>(0);
   for (int j=-halfHeight; j<=halfHeight; ++j)
   {
      const float rx = ofsx + j * a12;
      const float ry = ofsy + j * a22;
      #pragma omp simd
      for(int i=-halfWidth; i<=halfWidth; ++i, out++)
      {
         float wx = rx + i * a11;
         float wy = ry + i * a21;
         const int x = (int) floor(wx);
         const int y = (int) floor(wy);
         if (x >= 0 && y >= 0 && x < width && y < height)
         {
            // compute weights
            wx -= x; wy -= y;
            int rowOffset = y*im.cols;
            int rowOffset1 = (y+1)*im.cols;
            // bilinear interpolation
            *out =
                (1.0f - wy) *
                ((1.0f - wx) * 
                imptr[rowOffset+x] +
                wx * 
                imptr[rowOffset+x+1]) +
                (       wy) *
                ((1.0f - wx) * 
                imptr[rowOffset1+x] + 
                wx *
                imptr[rowOffset1+x+1]);
         } else {
            *out = 0;
            ret =  true; // touching boundary of the input            
         }
      }
   }
   return ret;
}

      

        
        
        
      

    

I am using Intel Advisor to optimize it, and although the internal one was for

already vectorized, Intel Advisor found inefficient memory access patterns:

• 60% access to unit / zero level.
• 40% access to irregular / random steps.

Specifically, there are 4 prefabricated (irregular) accesses in the following three instructions:

The access collection problem from my understanding happens when the accessible element is of a type a[b]

where it is b

unpredictable. This is similar to imptr[rowOffset+x]

, where both rowOffset

and x

are unpredictable.

At the same time, I see this Vertical Invariant

to happen (again from my understanding) when elements are treated with a constant offset. But I don't really see where the constant offset is

I have 3 questions:

• Did I understand the access collection problem correctly?
• How about vertical invariant access? I'm less sure about that.
• Finally, how can I improve / allow memory access here?

Compiled with icpc

2017 Update 3 with the following flags:

INTEL_OPT=-O3 -ipo -simd -xCORE-AVX2 -parallel -qopenmp -fargument-noalias -ansi-alias -no-prec-div -fp-model fast=2 -fma -align -finline-functions
INTEL_PROFILE=-g -qopt-report=5 -Bdynamic -shared-intel -debug inline-debug-info -qopenmp-link dynamic -parallel-source-info=2 -ldl