x86 SSE optimization hints for 4x4 float matrix*vector product

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Just for learning purpose: I have a function that gets three arguments as follows.

- a pointer to a 4x4 floating point matrix
- a pointer to a 4x1 floating point vector (input vector)
- a pointer to a 4x1 floating point vector (output vector).

The task of the function is simply the multiplication of matrix with the input vector and saving the result as the output vector.

The function declaration in C/C++ looks something like this:

void mult(MATRIX4x4* m, VECTOR4x1* in, VECTOR4x1* out);

Note that the MATRIX4x4 and VECTOR4x1 structs are all 16 bytes aligned.

I would like to use x86-SSE registers and instruction for the task. The code that I have written in assembly looks like:

.486
.xmm
.model flat
; .........................................................
public ___asm_vec_mat_product
; .........................................................
CODE segment dword public 'CODE' use32
ASSUME cs:CODE
; .........................................................
___asm_vec_mat_product proc near
    push ebp
    mov  ebp, esp   

    mov ecx, [ebp + 8 ]                     ;get matrix_4x4 pointer
    mov esi, [ebp + 12]                     ;get vector_4x1 input  pointer
    mov edi, [ebp + 16]                     ;get vector_4x1 output pointer

    movaps xmm4, xmmword ptr [esi]          ; load both input and output vectors in a 128bit register 
    movaps xmm5, xmmword ptr [edi]          ; load both input and output vectors in a 128bit register 

    movaps xmm0, xmmword ptr [ecx]          ; get matrix elements
    movaps xmm1, xmmword ptr [ecx + 16]     ;
    movaps xmm2, xmmword ptr [ecx + 32]     ;
    movaps xmm3, xmmword ptr [ecx + 48]     ;       
    ; do the math -----------------------------------
        movaps   xmm7, xmm4
        movaps   xmm6, xmm4

        dpps     xmm7, xmm0, 11110001b      
        dpps     xmm6, xmm1, 11110001b
        insertps xmm5, xmm7, 00000000b  
        insertps xmm5, xmm6, 00010000b

        movaps   xmm7, xmm4

        dpps     xmm4, xmm2, 11110001b
        dpps     xmm7, xmm3, 11110001b
        insertps xmm5, xmm4, 00100000b
        insertps xmm5, xmm7, 00110000b

        movaps xmmword ptr [edi], xmm5      ; save the result as a 128bits value 
    ; do the math -----------------------------------
    pop  ebp
    ret
___asm_vec_mat_product endp
; .........................................................
CODE ends
end
; .........................................................

It works perfectly, but the question is that whether there is more room for making it execute faster and optimize it even more with the use of x86-SSE instruction.

p.s.: I have already read the C++ and assembly optimization manuals provided by Agner Fog.

My CPU doesn't support AVX so I'm only using SSE4.1.

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