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FMAMatrixMultTransposedOperations.pas
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FMAMatrixMultTransposedOperations.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 FMAMatrixMultTransposedOperations;
// ##############################################################
// #### Assembler optimized matrix multiplication assuming a transposed second
// #### matrix
// ##############################################################
interface
{$I 'mrMath_CPU.inc'}
{$IFNDEF x64}
procedure FMAMatrixMultAlignedTransposed(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1 : NativeInt; height1 : NativeInt; width2 : NativeInt; height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure FMAMatrixMultAlignedEvenW1EvenH2TransposedMod16(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1 : NativeInt; height1 : NativeInt; width2 : NativeInt; height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure FMAMatrixMultAlignedEvenW1OddH2TransposedMod16(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1 : NativeInt; height1 : NativeInt; width2 : NativeInt; height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure FMAMatrixMultUnAlignedTransposed(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1 : NativeInt; height1 : NativeInt; width2 : NativeInt; height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
{$ENDIF}
implementation
{$IFNDEF x64}
procedure FMAMatrixMultAlignedEvenW1EvenH2TransposedMod16(dest : PDouble; const destLineWidth : NativeInt;
mt1, mt2 : PDouble; width1 : NativeInt;
height1 : NativeInt; width2 : NativeInt; height2 : NativeInt;
const LineWidth1, LineWidth2 : NativeInt);
var iter : NativeInt;
LineWidth2x2 : NativeInt;
destOffset : NativeInt;
// eax = dest, edx = destlinewidth, ecx = mt1
asm
push ebx;
push esi;
push edi;
// init
// destOffset := destLineWidth - height2*sizeof(double);
mov esi, height2;
shl esi, 3;
sub edx, esi;
mov destOffset, edx;
// height2 div 2;
sar esi, 4;
mov height2, esi;
// iters := -width1*sizeof(double);
mov ebx, width1;
imul ebx, -8;
mov iter, ebx;
// LineWidth2x2 := 2*LineWidth2;
mov esi, LineWidth2;
shl esi, 1;
mov LineWidth2x2, esi;
// prepare matrix pointers - remove constant offset here instead each time in the loop:
mov edi, mt2;
sub ecx, ebx;
sub edi, ebx;
mov mt2, edi;
// for y := 0 to height1 - 1:
@@forylabel:
mov edi, mt2;
// for y2 := 0 to height2 - 1:
mov ebx, height2;
@@fory2label:
// esi points to next row of mt2
mov esi, edi;
add esi, LineWidth2;
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF} // dest^ := 0
{$IFDEF AVXSUP}vxorpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$57,$D2;{$ENDIF} // dest + 1 := 0;
// for idx := 0 to width1 div 2 do
mov edx, iter;
// for x := 0 to width1 - 1
@@InnerLoop:
// prefetch [ecx + edx + 128];
// prefetch [edi + edx + 128];
// prefetch [eax + edx + 128];
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + edx]; {$ELSE}db $C5,$FD,$28,$0C,$11;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm1, [edi + edx]; {$ELSE}db $C4,$E2,$F5,$B8,$04,$17;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm2, ymm1, [esi + edx]; {$ELSE}db $C4,$E2,$F5,$B8,$14,$16;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + edx + 32]; {$ELSE}db $C5,$FD,$28,$4C,$11,$20;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm1, [edi + edx + 32];{$ELSE}db $C4,$E2,$F5,$B8,$44,$17,$20;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm2, ymm1, [esi + edx + 32];{$ELSE}db $C4,$E2,$F5,$B8,$54,$16,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + edx + 64]; {$ELSE}db $C5,$FD,$28,$4C,$11,$40;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm1, [edi + edx + 64];{$ELSE}db $C4,$E2,$F5,$B8,$44,$17,$40;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm2, ymm1, [esi + edx + 64];{$ELSE}db $C4,$E2,$F5,$B8,$54,$16,$40;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + edx + 96]; {$ELSE}db $C5,$FD,$28,$4C,$11,$60;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm1, [edi + edx + 96];{$ELSE}db $C4,$E2,$F5,$B8,$44,$17,$60;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm2, ymm1, [esi + edx + 96];{$ELSE}db $C4,$E2,$F5,$B8,$54,$16,$60;{$ENDIF}
// end for idx := 0 to width1 div 2
add edx, 128;
jnz @@InnerLoop;
{$IFDEF AVXSUP}vextractf128 xmm1, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C1,$01;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm3, ymm2, 1; {$ELSE}db $C4,$E3,$7D,$19,$D3,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$7C,$C1;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm3; {$ELSE}db $C5,$E9,$7C,$D3;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$7C,$C2;{$ENDIF}
// store back result
{$IFDEF AVXSUP}vmovapd [eax], xmm0; {$ELSE}db $C5,$F9,$29,$00;{$ENDIF}
// increment the pointers
add eax, 16;
add edi, LineWidth2x2;
// end for x := 0 to width2 - 1
dec ebx;
jnz @@fory2label;
// update pointers
add ecx, LineWidth1;
add eax, destOffset;
// end for y := 0 to height1 - 1
dec Height1;
jnz @@forylabel;
// epilog - cleanup stack
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop edi;
pop esi;
pop ebx;
end;
procedure FMAMatrixMultAlignedEvenW1OddH2TransposedMod16(dest : PDouble; const destLineWidth : NativeInt;
mt1, mt2 : PDouble; width1 : NativeInt;
height1 : NativeInt; width2 : NativeInt; height2 : NativeInt;
const LineWidth1, LineWidth2 : NativeInt);
var iter : NativeInt;
LineWidth2x2 : NativeInt;
destOffset : NativeInt;
// eax = dest, edx = destlinewidth, ecx = mt1
asm
push ebx;
push esi;
push edi;
// init
dec Height2; // last line is different
// destOffset := destLineWidth - height2*sizeof(double);
mov esi, height2;
shl esi, 3;
sub edx, esi;
mov destOffset, edx;
// height2 div 2;
sar esi, 4;
mov height2, esi;
// iters := -width1*sizeof(double);
mov ebx, width1;
imul ebx, -8;
mov iter, ebx;
// LineWidth2x2 := 2*LineWidth2;
mov esi, LineWidth2;
shl esi, 1;
mov LineWidth2x2, esi;
// prepare matrix pointers - remove constant offset here instead each time in the loop:
mov edi, mt2;
sub ecx, ebx;
sub edi, ebx;
mov mt2, edi;
// for y := 0 to height1 - 1:
@@forylabel:
mov edi, mt2;
// for y2 := 0 to height2 - 1:
mov ebx, height2;
@@fory2label:
// esi points to next row of mt2
mov esi, edi;
add esi, LineWidth2;
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF} // dest^ := 0
{$IFDEF AVXSUP}vxorpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$57,$D2;{$ENDIF} // dest + 1 := 0;
// for idx := 0 to width1 div 2 do
mov edx, iter;
// for x := 0 to width1 - 1
@@InnerLoop:
// prefetch [ecx + edx + 128];
// prefetch [edi + edx + 128];
// prefetch [eax + edx + 128];
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + edx]; {$ELSE}db $C5,$FD,$28,$0C,$11;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm1, [edi + edx]; {$ELSE}db $C4,$E2,$F5,$B8,$04,$17;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm2, ymm1, [esi + edx]; {$ELSE}db $C4,$E2,$F5,$B8,$14,$16;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + edx + 32]; {$ELSE}db $C5,$FD,$28,$4C,$11,$20;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm1, [edi + edx + 32];{$ELSE}db $C4,$E2,$F5,$B8,$44,$17,$20;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm2, ymm1, [esi + edx + 32];{$ELSE}db $C4,$E2,$F5,$B8,$54,$16,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + edx + 64]; {$ELSE}db $C5,$FD,$28,$4C,$11,$40;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm1, [edi + edx + 64];{$ELSE}db $C4,$E2,$F5,$B8,$44,$17,$40;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm2, ymm1, [esi + edx + 64];{$ELSE}db $C4,$E2,$F5,$B8,$54,$16,$40;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + edx + 96]; {$ELSE}db $C5,$FD,$28,$4C,$11,$60;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm1, [edi + edx + 96];{$ELSE}db $C4,$E2,$F5,$B8,$44,$17,$60;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm2, ymm1, [esi + edx + 96];{$ELSE}db $C4,$E2,$F5,$B8,$54,$16,$60;{$ENDIF}
// end for idx := 0 to width1 div 2
add edx, 128;
jnz @@InnerLoop;
{$IFDEF AVXSUP}vextractf128 xmm1, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C1,$01;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm3, ymm2, 1; {$ELSE}db $C4,$E3,$7D,$19,$D3,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$7C,$C1;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm3; {$ELSE}db $C5,$E9,$7C,$D3;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$7C,$C2;{$ENDIF}
// store back result
{$IFDEF AVXSUP}vmovapd [eax], xmm0; {$ELSE}db $C5,$F9,$29,$00;{$ENDIF}
// increment the pointers
add eax, 16;
add edi, LineWidth2x2;
// end for x := 0 to width2 - 1
dec ebx;
jnz @@fory2label;
// last odd line:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF} // dest^ := 0
// for idx := 0 to width1 div 2 do
mov edx, iter;
// for x := 0 to width1 - 1
@@InnerLoop2:
// prefetch [ecx + edx + 128];
// prefetch [edi + edx + 128];
// prefetch [eax + edx + 128];
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + edx]; {$ELSE}db $C5,$FD,$28,$0C,$11;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm1, [edi + edx]; {$ELSE}db $C4,$E2,$F5,$B8,$04,$17;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + edx + 32]; {$ELSE}db $C5,$FD,$28,$4C,$11,$20;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm1, [edi + edx + 32]; {$ELSE}db $C4,$E2,$F5,$B8,$44,$17,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + edx + 64]; {$ELSE}db $C5,$FD,$28,$4C,$11,$40;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm1, [edi + edx + 64]; {$ELSE}db $C4,$E2,$F5,$B8,$44,$17,$40;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + edx + 96]; {$ELSE}db $C5,$FD,$28,$4C,$11,$60;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm1, [edi + edx + 96]; {$ELSE}db $C4,$E2,$F5,$B8,$44,$17,$60;{$ENDIF}
// end for idx := 0 to width1 div 2
add edx, 128;
jnz @@InnerLoop2;
{$IFDEF AVXSUP}vextractf128 xmm1, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C1,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$7C,$C1;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
// store back result
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
// update pointers
add ecx, LineWidth1;
add eax, destOffset;
// end for y := 0 to height1 - 1
dec Height1;
jnz @@forylabel;
// epilog - cleanup stack
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop edi;
pop esi;
pop ebx;
end;
// note mt2 is transposed this time -> width1 and width2 must be the same!
procedure FMAMatrixMultUnAlignedTransposed(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1 : NativeInt; height1 : NativeInt; width2 : NativeInt; height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt);
var iter : NativeInt;
destOffset : NativeInt;
asm
push ebx;
push edi;
push esi;
// iters2 := -width1*sizeof(double);
mov esi, width1;
imul esi, -8;
mov iter, esi;
mov edi, height2;
shl edi, 3;
sub edx, edi;
mov destOffset, edx;
// prepare matrix pointers - remove constant offset here instead each time in the loop:
sub ecx, esi;
sub mt2, esi;
// for y := 0 to height1 - 1:
@@forylabel:
mov edi, mt2;
mov esi, edi;
add esi, LineWidth2;
// for x := 0 to width2 - 1:
mov ebx, height2;
sub ebx, 2;
jl @@fory2loopend;
@@fory2label:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF} // dest^ := 0
{$IFDEF AVXSUP}vxorpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$57,$D2;{$ENDIF} // dest + 1 := 0;
// for idx := 0 to width1 div 4 do
mov edx, iter;
add edx, 32;
jg @InnerLoopEnd;
@@InnerLoop:
{$IFDEF AVXSUP}vmovupd ymm1, [ecx + edx - 32]; {$ELSE}db $C5,$FD,$10,$4C,$11,$E0;{$ENDIF}
// load 2x2 block
{$IFDEF AVXSUP}vmovupd ymm3, [edi + edx - 32]; {$ELSE}db $C5,$FD,$10,$5C,$17,$E0;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [esi + edx - 32]; {$ELSE}db $C5,$FD,$10,$64,$16,$E0;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm1, ymm3; {$ELSE}db $C4,$E2,$F5,$B8,$C3;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm2, ymm1, ymm4; {$ELSE}db $C4,$E2,$F5,$B8,$D4;{$ENDIF}
// end for idx := 0 to width1 div 2
add edx, 32;
jle @@InnerLoop;
{$IFDEF AVXSUP}vextractf128 xmm1, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C1,$01;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm3, ymm2, 1; {$ELSE}db $C4,$E3,$7D,$19,$D3,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$7C,$C1;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm3; {$ELSE}db $C5,$E9,$7C,$D3;{$ENDIF}
@InnerLoopEnd:
sub edx, 32;
jz @@InnerLoopEnd2;
// do the final few elements
@@InnerLoop2:
{$IFDEF AVXSUP}vmovsd xmm1, [ecx + edx]; {$ELSE}db $C5,$FB,$10,$0C,$11;{$ENDIF}
// load 2x2 block
{$IFDEF AVXSUP}vmovsd xmm3, [edi + edx]; {$ELSE}db $C5,$FB,$10,$1C,$17;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [esi + edx]; {$ELSE}db $C5,$FB,$10,$24,$16;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vmulsd xmm3, xmm3, xmm1; {$ELSE}db $C5,$E3,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm4, xmm4, xmm1; {$ELSE}db $C5,$DB,$59,$E1;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm2, xmm2, xmm4; {$ELSE}db $C5,$EB,$58,$D4;{$ENDIF}
add edx, 8;
jnz @@InnerLoop2;
@@InnerLoopEnd2:
// final add and compact result
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$7C,$C2;{$ENDIF}
// store back result
{$IFDEF AVXSUP}vmovupd [eax], xmm0; {$ELSE}db $C5,$F9,$11,$00;{$ENDIF}
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add eax, 16;
mov edi, esi;
add edi, LineWidth2;
mov esi, edi;
add esi, LineWidth2;
// end for x := 0 to width2 - 1
sub ebx, 2;
jge @@fory2label;
//
@@fory2loopend:
add ebx, 2;
// test for odd h2
jz @@NextLine;
// we have an odd height2 -> special treatment for the last line
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF} // dest^ := 0
// for idx := 0 to width1 div 4 do
mov edx, iter;
add edx, 32;
jg @LastLineInnerLoopEnd;
@@LastLineInnerLoop:
{$IFDEF AVXSUP}vmovupd ymm1, [ecx + edx - 32]; {$ELSE}db $C5,$FD,$10,$4C,$11,$E0;{$ENDIF}
// load block
{$IFDEF AVXSUP}vmovupd ymm3, [edi + edx - 32]; {$ELSE}db $C5,$FD,$10,$5C,$17,$E0;{$ENDIF}
// multiply and add
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm1, ymm3; {$ELSE}db $C4,$E2,$F5,$B8,$C3;{$ENDIF}
// end for idx := 0 to width1 div 2
add edx, 32;
jle @@LastLineInnerLoop;
{$IFDEF AVXSUP}vextractf128 xmm1, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C1,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$7C,$C1;{$ENDIF}
@LastLineInnerLoopEnd:
sub edx, 32;
jz @@LastLineInnerLoopEnd2;
// do the final few elements
@@LastLineInnerLoop2:
{$IFDEF AVXSUP}vmovsd xmm1, [ecx + edx]; {$ELSE}db $C5,$FB,$10,$0C,$11;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm3, [edi + edx]; {$ELSE}db $C5,$FB,$10,$1C,$17;{$ENDIF}
// multiply and add
{$IFDEF AVXSUP}vmulsd xmm3, xmm3, xmm1; {$ELSE}db $C5,$E3,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$58,$C3;{$ENDIF}
// next element
add edx, 8;
jnz @@LastLineInnerLoop2;
@@LastLineInnerLoopEnd2:
// final add and compact result
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
// store back result
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
add eax, 8;
// ################################################
// #### next line of mt1
@@NextLine:
// dec(mt2, Width2);
// inc(PByte(mt1), LineWidth1);
// inc(PByte(dest), destOffset);
//mov ebx, bytesWidth2;
//sub dword ptr [mt2], ebx;
add ecx, LineWidth1;
add eax, destOffset;
// end for y := 0 to height1 - 1
dec Height1;
jnz @@forylabel;
// epilog - cleanup stack
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop esi;
pop edi;
pop ebx;
end;
// note mt2 is transposed this time -> width1 and width2 must be the same!
procedure FMAMatrixMultAlignedTransposed(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1 : NativeInt; height1 : NativeInt; width2 : NativeInt; height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt);
var iter : NativeInt;
destOffset : NativeInt;
asm
push ebx;
push edi;
push esi;
// iters2 := -width1*sizeof(double);
mov esi, width1;
imul esi, -8;
mov iter, esi;
mov edi, height2;
shl edi, 3;
sub edx, edi;
mov destOffset, edx;
// prepare matrix pointers - remove constant offset here instead each time in the loop:
sub ecx, esi;
sub mt2, esi;
// for y := 0 to height1 - 1:
@@forylabel:
mov edi, mt2;
mov esi, edi;
add esi, LineWidth2;
// for x := 0 to width2 - 1:
mov ebx, height2;
sub ebx, 2;
jl @@fory2loopend;
@@fory2label:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF} // dest^ := 0
{$IFDEF AVXSUP}vxorpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$57,$D2;{$ENDIF} // dest + 1 := 0;
// for idx := 0 to width1 div 4 do
mov edx, iter;
add edx, 32;
jg @InnerLoopEnd;
@@InnerLoop:
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + edx - 32]; {$ELSE}db $C5,$FD,$28,$4C,$11,$E0;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm1, [edi + edx - 32];{$ELSE}db $C4,$E2,$F5,$B8,$44,$17,$E0;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm2, ymm1, [esi + edx - 32];{$ELSE}db $C4,$E2,$F5,$B8,$54,$16,$E0;{$ENDIF}
// end for idx := 0 to width1 div 2
add edx, 32;
jle @@InnerLoop;
{$IFDEF AVXSUP}vextractf128 xmm1, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C1,$01;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm3, ymm2, 1; {$ELSE}db $C4,$E3,$7D,$19,$D3,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$7C,$C1;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm3; {$ELSE}db $C5,$E9,$7C,$D3;{$ENDIF}
@InnerLoopEnd:
sub edx, 32;
jz @@InnerLoopEnd2;
// do the final few elements
@@InnerLoop2:
{$IFDEF AVXSUP}vmovsd xmm1, [ecx + edx]; {$ELSE}db $C5,$FB,$10,$0C,$11;{$ENDIF}
// load 2x2 block
{$IFDEF AVXSUP}vmovsd xmm3, [edi + edx]; {$ELSE}db $C5,$FB,$10,$1C,$17;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [esi + edx]; {$ELSE}db $C5,$FB,$10,$24,$16;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vmulsd xmm3, xmm3, xmm1; {$ELSE}db $C5,$E3,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm4, xmm4, xmm1; {$ELSE}db $C5,$DB,$59,$E1;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm2, xmm2, xmm4; {$ELSE}db $C5,$EB,$58,$D4;{$ENDIF}
add edx, 8;
jnz @@InnerLoop2;
@@InnerLoopEnd2:
// final add and compact result
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$7C,$C2;{$ENDIF}
// store back result
{$IFDEF AVXSUP}vmovapd [eax], xmm0; {$ELSE}db $C5,$F9,$29,$00;{$ENDIF}
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add eax, 16;
mov edi, esi;
add edi, LineWidth2;
mov esi, edi;
add esi, LineWidth2;
// end for x := 0 to width2 - 1
sub ebx, 2;
jge @@fory2label;
//
@@fory2loopend:
add ebx, 2;
// test for odd h2
jz @@NextLine;
// we have an odd height2 -> special treatment for the last line
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF} // dest^ := 0
// for idx := 0 to width1 div 4 do
mov edx, iter;
add edx, 32;
jg @LastLineInnerLoopEnd;
@@LastLineInnerLoop:
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + edx - 32]; {$ELSE}db $C5,$FD,$28,$4C,$11,$E0;{$ENDIF}
// multiply and add
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm1, [edi + edx - 32]; {$ELSE}db $C4,$E2,$F5,$B8,$44,$17,$E0;{$ENDIF}
// end for idx := 0 to width1 div 2
add edx, 32;
jle @@LastLineInnerLoop;
{$IFDEF AVXSUP}vextractf128 xmm1, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C1,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$7C,$C1;{$ENDIF}
@LastLineInnerLoopEnd:
sub edx, 32;
jz @@LastLineInnerLoopEnd2;
// do the final few elements
@@LastLineInnerLoop2:
{$IFDEF AVXSUP}vmovsd xmm1, [ecx + edx]; {$ELSE}db $C5,$FB,$10,$0C,$11;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm3, [edi + edx]; {$ELSE}db $C5,$FB,$10,$1C,$17;{$ENDIF}
// multiply and add
{$IFDEF AVXSUP}vmulsd xmm3, xmm3, xmm1; {$ELSE}db $C5,$E3,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$58,$C3;{$ENDIF}
// next element
add edx, 8;
jnz @@LastLineInnerLoop2;
@@LastLineInnerLoopEnd2:
// final add and compact result
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
// store back result
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
add eax, 8;
// ################################################
// #### next line of mt1
@@NextLine:
// dec(mt2, Width2);
// inc(PByte(mt1), LineWidth1);
// inc(PByte(dest), destOffset);
//mov ebx, bytesWidth2;
//sub dword ptr [mt2], ebx;
add ecx, LineWidth1;
add eax, destOffset;
// end for y := 0 to height1 - 1
dec Height1;
jnz @@forylabel;
// epilog - cleanup stack
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop esi;
pop edi;
pop ebx;
end;
{$ENDIF}
end.