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AVXMatrixTransposeOperations.pas
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AVXMatrixTransposeOperations.pas
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// ###################################################################
// #### This file is part of the mathematics library project, and is
// #### offered under the licence agreement described on
// #### http://www.mrsoft.org/
// ####
// #### Copyright:(c) 2018, Michael R. . All rights reserved.
// ####
// #### Unless required by applicable law or agreed to in writing, software
// #### distributed under the License is distributed on an "AS IS" BASIS,
// #### WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// #### See the License for the specific language governing permissions and
// #### limitations under the License.
// ###################################################################
unit AVXMatrixTransposeOperations;
interface
{$I 'mrMath_CPU.inc'}
{$IFNDEF x64}
procedure AVXMatrixTransposeAligned(dest : PDouble; const destLineWidth : NativeInt; mt : PDouble; const LineWidth : NativeInt; width : NativeInt; height : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure AVXMatrixTransposeUnaligned(dest : PDouble; const destLineWidth : NativeInt; mt : PDouble; const LineWidth : NativeInt; width : NativeInt; height : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// Inplace Trasnposition of an N x N matrix
procedure AVXMatrixTransposeInplace(mt : PDouble; const LineWidth : NativeInt; N : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
{$ENDIF}
implementation
{$IFNDEF x64}
procedure AVXMatrixTransposeAligned(dest : PDouble; const destLineWidth : NativeInt; mt : PDouble; const LineWidth : NativeInt; width : NativeInt; height : NativeInt);
var iter : NativeInt;
asm
// prolog:
push ebx;
push edi;
push esi;
// iters := -width*sizeof(double);
mov edi, width;
imul edi, -8;
mov iter, edi;
sub ecx, edi;
mov ebx, LineWidth;
mov edi, Height;
sub edi, 4;
jl @@foryloop4End;
// we have at least a height of 4 -> try to transpose 4x4 blocks
@foryloop4:
// prepare pointers to mt
push eax;
// 4x4 blockwise transposition
mov esi, iter;
@forxloop4:
add esi, 32;
jg @loopend4;
{$IFDEF AVXSUP}vmovapd ymm0, [ecx + esi - 32]; {$ELSE}db $C5,$FD,$28,$44,$31,$E0;{$ENDIF}
add ecx, ebx;
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + esi - 32]; {$ELSE}db $C5,$FD,$28,$4C,$31,$E0;{$ENDIF}
add ecx, ebx;
{$IFDEF AVXSUP}vmovapd ymm2, [ecx + esi - 32]; {$ELSE}db $C5,$FD,$28,$54,$31,$E0;{$ENDIF}
add ecx, ebx;
{$IFDEF AVXSUP}vmovapd ymm3, [ecx + esi - 32]; {$ELSE}db $C5,$FD,$28,$5C,$31,$E0;{$ENDIF}
add ecx, ebx;
{$IFDEF AVXSUP}vunpckhpd ymm4, ymm0, ymm1; {$ELSE}db $C5,$FD,$15,$E1;{$ENDIF}
{$IFDEF AVXSUP}vunpckhpd ymm5, ymm2, ymm3; {$ELSE}db $C5,$ED,$15,$EB;{$ENDIF}
{$IFDEF AVXSUP}vunpcklpd ymm7, ymm2, ymm3; {$ELSE}db $C5,$ED,$14,$FB;{$ENDIF}
shl ebx, 2;
{$IFDEF AVXSUP}vperm2f128 ymm3, ymm4, ymm5, $31; {$ELSE}db $C4,$E3,$5D,$06,$DD,$31;{$ENDIF}
{$IFDEF AVXSUP}vunpcklpd ymm6, ymm0, ymm1; {$ELSE}db $C5,$FD,$14,$F1;{$ENDIF}
{$IFDEF AVXSUP}vinsertf128 ymm1, ymm4, xmm5, 1; {$ELSE}db $C4,$E3,$5D,$18,$CD,$01;{$ENDIF}
{$IFDEF AVXSUP}vperm2f128 ymm2, ymm6, ymm7, $31; {$ELSE}db $C4,$E3,$4D,$06,$D7,$31;{$ENDIF}
{$IFDEF AVXSUP}vinsertf128 ymm0, ymm6, xmm7, 1; {$ELSE}db $C4,$E3,$4D,$18,$C7,$01;{$ENDIF}
// recover ecx
sub ecx, ebx;
{$IFDEF AVXSUP}vmovapd [eax], ymm0; {$ELSE}db $C5,$FD,$29,$00;{$ENDIF}
add eax, edx;
{$IFDEF AVXSUP}vmovapd [eax], ymm1; {$ELSE}db $C5,$FD,$29,$08;{$ENDIF}
add eax, edx;
shr ebx, 2;
{$IFDEF AVXSUP}vmovapd [eax], ymm2; {$ELSE}db $C5,$FD,$29,$10;{$ENDIF}
add eax, edx;
{$IFDEF AVXSUP}vmovapd [eax], ymm3; {$ELSE}db $C5,$FD,$29,$18;{$ENDIF}
add eax, edx;
jmp @forxloop4;
@loopend4:
sub esi, 32;
jz @nextline4;
// handle the missing columns
@forxloop:
{$IFDEF AVXSUP}vmovsd xmm0, [ecx + esi]; {$ELSE}db $C5,$FB,$10,$04,$31;{$ENDIF}
add ecx, ebx;
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm0, [ecx + esi]; {$ELSE}db $C5,$FB,$10,$04,$31;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax + 8], xmm0; {$ELSE}db $C5,$FB,$11,$40,$08;{$ENDIF}
add ecx, ebx;
{$IFDEF AVXSUP}vmovsd xmm0, [ecx + esi]; {$ELSE}db $C5,$FB,$10,$04,$31;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax + 16], xmm0; {$ELSE}db $C5,$FB,$11,$40,$10;{$ENDIF}
add ecx, ebx;
{$IFDEF AVXSUP}vmovsd xmm0, [ecx + esi]; {$ELSE}db $C5,$FB,$10,$04,$31;{$ENDIF}
add ecx, ebx;
{$IFDEF AVXSUP}vmovsd [eax + 24], xmm0; {$ELSE}db $C5,$FB,$11,$40,$18;{$ENDIF}
add eax, edx;
shl ebx, 2;
sub ecx, ebx;
shr ebx, 2;
add esi, 8;
jnz @forxloop;
@nextline4:
pop eax;
lea ecx, [ecx + 4*ebx];
// dest := dest + 4*sizeof(double)
add eax, 32;
sub edi, 4;
jge @foryloop4;
@@foryloop4End:
add edi, 4;
jz @endproc;
// #############################
// #### handle the last max 4 rows
@@foryloop:
mov esi, iter;
push eax;
@@forxloop:
{$IFDEF AVXSUP}vmovsd xmm0, [ecx + esi]; {$ELSE}db $C5,$FB,$10,$04,$31;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
add eax, edx;
add esi, 8;
jnz @@forxloop;
pop eax;
add ecx, LineWidth;
add eax, 8;
dec edi;
jnz @@foryloop;
@endproc:
// epilog
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop esi;
pop edi;
pop ebx;
end;
procedure AVXMatrixTransposeUnaligned(dest : PDouble; const destLineWidth : NativeInt; mt : PDouble; const LineWidth : NativeInt; width : NativeInt; height : NativeInt);
var iter : NativeInt;
asm
// prolog:
push ebx;
push edi;
push esi;
// iters := -width*sizeof(double);
mov edi, width;
imul edi, -8;
mov iter, edi;
sub ecx, edi;
mov ebx, LineWidth;
mov edi, Height;
sub edi, 4;
jl @@foryloop4End;
// we have at least a height of 4 -> try to transpose 4x4 blocks
@foryloop4:
// prepare pointers to mt
push eax;
// 4x4 blockwise transposition
mov esi, iter;
@forxloop4:
add esi, 32;
jg @loopend4;
{$IFDEF AVXSUP}vmovupd ymm0, [ecx + esi - 32]; {$ELSE}db $C5,$FD,$10,$44,$31,$E0;{$ENDIF}
add ecx, ebx;
{$IFDEF AVXSUP}vmovupd ymm1, [ecx + esi - 32]; {$ELSE}db $C5,$FD,$10,$4C,$31,$E0;{$ENDIF}
add ecx, ebx;
{$IFDEF AVXSUP}vmovupd ymm2, [ecx + esi - 32]; {$ELSE}db $C5,$FD,$10,$54,$31,$E0;{$ENDIF}
add ecx, ebx;
{$IFDEF AVXSUP}vmovupd ymm3, [ecx + esi - 32]; {$ELSE}db $C5,$FD,$10,$5C,$31,$E0;{$ENDIF}
add ecx, ebx;
{$IFDEF AVXSUP}vunpckhpd ymm4, ymm0, ymm1; {$ELSE}db $C5,$FD,$15,$E1;{$ENDIF}
{$IFDEF AVXSUP}vunpckhpd ymm5, ymm2, ymm3; {$ELSE}db $C5,$ED,$15,$EB;{$ENDIF}
{$IFDEF AVXSUP}vunpcklpd ymm7, ymm2, ymm3; {$ELSE}db $C5,$ED,$14,$FB;{$ENDIF}
shl ebx, 2;
{$IFDEF AVXSUP}vperm2f128 ymm3, ymm4, ymm5, $31; {$ELSE}db $C4,$E3,$5D,$06,$DD,$31;{$ENDIF}
{$IFDEF AVXSUP}vunpcklpd ymm6, ymm0, ymm1; {$ELSE}db $C5,$FD,$14,$F1;{$ENDIF}
{$IFDEF AVXSUP}vinsertf128 ymm1, ymm4, xmm5, 1; {$ELSE}db $C4,$E3,$5D,$18,$CD,$01;{$ENDIF}
{$IFDEF AVXSUP}vperm2f128 ymm2, ymm6, ymm7, $31; {$ELSE}db $C4,$E3,$4D,$06,$D7,$31;{$ENDIF}
{$IFDEF AVXSUP}vinsertf128 ymm0, ymm6, xmm7, 1; {$ELSE}db $C4,$E3,$4D,$18,$C7,$01;{$ENDIF}
sub ecx, ebx;
// invert so lea works
{$IFDEF AVXSUP}vmovupd [eax], ymm0; {$ELSE}db $C5,$FD,$11,$00;{$ENDIF}
add eax, edx;
{$IFDEF AVXSUP}vmovupd [eax], ymm1; {$ELSE}db $C5,$FD,$11,$08;{$ENDIF}
add eax, edx;
{$IFDEF AVXSUP}vmovupd [eax], ymm2; {$ELSE}db $C5,$FD,$11,$10;{$ENDIF}
add eax, edx;
{$IFDEF AVXSUP}vmovupd [eax], ymm3; {$ELSE}db $C5,$FD,$11,$18;{$ENDIF}
add eax, edx;
shr ebx, 2;
jmp @forxloop4;
@loopend4:
sub esi, 32;
jz @nextline4;
// handle the missing columns
@forxloop:
{$IFDEF AVXSUP}vmovsd xmm0, [ecx + esi]; {$ELSE}db $C5,$FB,$10,$04,$31;{$ENDIF}
add ecx, ebx;
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm0, [ecx + esi]; {$ELSE}db $C5,$FB,$10,$04,$31;{$ENDIF}
add ecx, ebx;
{$IFDEF AVXSUP}vmovsd [eax + 8], xmm0; {$ELSE}db $C5,$FB,$11,$40,$08;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm0, [ecx + esi]; {$ELSE}db $C5,$FB,$10,$04,$31;{$ENDIF}
add ecx, ebx;
{$IFDEF AVXSUP}vmovsd [eax + 16], xmm0; {$ELSE}db $C5,$FB,$11,$40,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm0, [ecx + esi]; {$ELSE}db $C5,$FB,$10,$04,$31;{$ENDIF}
add ecx, ebx;
{$IFDEF AVXSUP}vmovsd [eax + 24], xmm0; {$ELSE}db $C5,$FB,$11,$40,$18;{$ENDIF}
add eax, edx;
shl ebx, 2;
sub ecx, ebx;
shr ebx, 2;
add esi, 8;
jnz @forxloop;
@nextline4:
pop eax;
lea ecx, [ecx + 4*ebx];
// dest := dest + 4*sizeof(double)
add eax, 32;
sub edi, 4;
jge @foryloop4;
@@foryloop4End:
add edi, 4;
jz @endproc;
// #############################
// #### handle the last max 4 rows
@@foryloop:
mov esi, iter;
push eax;
@@forxloop:
{$IFDEF AVXSUP}vmovsd xmm0, [ecx + esi]; {$ELSE}db $C5,$FB,$10,$04,$31;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
add eax, edx;
add esi, 8;
jnz @@forxloop;
pop eax;
add ecx, LineWidth;
add eax, 8;
dec edi;
jnz @@foryloop;
@endproc:
// epilog
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop esi;
pop edi;
pop ebx;
end;
// simple Inplace Trasnposition of an N x N matrix
procedure AVXMatrixTransposeInplace(mt : PDouble; const LineWidth : NativeInt; N : NativeInt);
// eax = mt, edx = LineWidth, ecx = N
var aN : NativeInt;
asm
push ebx;
push edi;
push esi;
mov ecx, N;
cmp ecx, 2;
jl @@exitProc;
// iter: -N*sizeof(Double)
mov edi, ecx;
imul edi, -8;
dec ecx;
mov aN, ecx;
mov ebx, eax; // pDest1: genptr(mt, 0, 1, linewidth)
add ebx, edx;
sub eax, edi; // mt + iter
// for y := 0 to n - 2
@@foryloop:
mov esi, edi; // iter aka x
add esi, 8;
mov ecx, ebx;
// for x := y + 1 to n-1 do
@@forxloop:
{$IFDEF AVXSUP}vmovsd xmm0, [eax + esi]; {$ELSE}db $C5,$FB,$10,$04,$30;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm1, [ecx]; {$ELSE}db $C5,$FB,$10,$09;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax + esi], xmm1; {$ELSE}db $C5,$FB,$11,$0C,$30;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [ecx], xmm0; {$ELSE}db $C5,$FB,$11,$01;{$ENDIF}
add ecx, edx;
add esi, 8;
jnz @@forxloop;
add edi, 8; // iter + sizeof(double);
//pDest := PConstDoubleArr( GenPtr(dest, 0, y, destLineWidth) );
add eax, edx;
// GenPtr(dest, y, y + 1, destLineWidth);
add ebx, edx;
add ebx, 8;
dec aN;
jnz @@foryloop;
@@exitProc:
// epilog
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop esi;
pop edi;
pop ebx;
end;
{$ENDIF}
end.