How to use the multiply and accumulate intrinsics in ARM Cortex-a8?

Question

Hi Guys,

how to use the Multiply-Accumulate intrinsics provided by GCC?

float32x4_t vmlaq_f32 (float32x4_t , float32x4_t , float32x4_t);

Can anyone explain what three parameters I have to pass to this function. I mean the Source and destination registers and what the function returns?

Help!!!

Answer 1

Google'd for vmlaq_f32, turned up the reference for the RVCT compiler tools. Here's what it says:

Vector multiply accumulate: vmla -> Vr[i] := Va[i] + Vb[i] * Vc[i]
...
float32x4_t vmlaq_f32 (float32x4_t a, float32x4_t b, float32x4_t c);

AND

The following types are defined to represent vectors. NEON vector data types are named according to the following pattern: <type><size>x<number of lanes>_t For example, int16x4_t is a vector containing four lanes each containing a signed 16-bit integer. Table E.1 lists the vector data types.

IOW, the return value from the function will be a vector containing 4 32-bit floats, and each element of the vector is calculated by multiplying the corresponding elements of b and c, and adding the contents of a.

HTH

Answer 2

Simply said the vmla instruction does the following:

struct 
{
  float val[4];
} float32x4_t


float32x4_t vmla (float32x4_t a, float32x4_t b, float32x4_t c)
{
  float32x4 result;

  for (int i=0; i<4; i++)
  {
    result.val[i] =  b.val[i]*c.val[i]+a.val[i];
  }

  return result;
}

And all this compiles into a singe assembler instruction :-)

You can use this NEON-assembler intrinsic among other things in typical 4x4 matrix multiplications for 3D-graphics like this:

float32x4_t transform (float32x4_t * matrix, float32x4_t vector)
{
  /* in a perfect world this code would compile into just four instructions */
  float32x4_t result;

  result = vml (matrix[0], vector);
  result = vmla (result, matrix[1], vector);
  result = vmla (result, matrix[2], vector);
  result = vmla (result, matrix[3], vector);

  return result;
}

This saves a couple of cycles because you don't have to add the results after multiplication. The addition is so often used that multiply-accumulates hsa become mainstream these days (even x86 has added them in some recent SSE instruction set).

Also worth mentioning: Multiply-accumulate operations like this are very common in linear algebra and DSP (digital signal processing) applications. ARM was very smart and implemented a fast-path inside the Cortex-A8 NEON-Core. This fast-path kicks in if the first argument (the accumulator) of a VMLA instruction is the result of a preceding VML or VMLA instruction. I could go into detail but in a nutshell such an instruction series runs four times faster than a VML / VADD / VML / VADD series.

Take a look at my simple matrix-multiply: I did exactly that. Due to this fast-path it will run roughly four times faster than implementation written using VML and ADD instead of VMLA.