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ASMMatrixMultOperations.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) 2011, 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 ASMMatrixMultOperations;
interface
{$IFDEF CPUX64}
{$DEFINE x64}
{$ENDIF}
{$IFDEF cpux86_64}
{$DEFINE x64}
{$ENDIF}
{$IFNDEF x64}
uses MatrixConst;
// full matrix operations -> there are no zero columns nor zero lines attached
procedure ASMMatrixMultAlignedEvenW1EvenW2(dest : PDouble; const destLineWidth : TASMNativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : TASMNativeInt; const LineWidth1, LineWidth2 : TASMNativeInt);
procedure ASMMatrixMultUnAlignedEvenW1EvenW2(dest : PDouble; const destLineWidth : TASMNativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : TASMNativeInt; const LineWidth1, LineWidth2 : TASMNativeInt);
// the width of the second matrix is uneven -> the last column of mt2 must be handled differently
procedure ASMMatrixMultAlignedEvenW1OddW2(dest : PDouble; const destLineWidth : TASMNativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : TASMNativeInt; const LineWidth1, LineWidth2 : TASMNativeInt);
procedure ASMMatrixMultUnAlignedEvenW1OddW2(dest : PDouble; const destLineWidth : TASMNativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : TASMNativeInt; const LineWidth1, LineWidth2 : TASMNativeInt);
// the width of mt1 is odd but the one of mt2 is even
procedure ASMMatrixMultAlignedOddW1EvenW2(dest : PDouble; const destLineWidth : TASMNativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : TASMNativeInt; const LineWidth1, LineWidth2 : TASMNativeInt);
procedure ASMMatrixMultUnAlignedOddW1EvenW2(dest : PDouble; const destLineWidth : TASMNativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : TASMNativeInt; const LineWidth1, LineWidth2 : TASMNativeInt);
// both matrices have an odd width
procedure ASMMatrixMultAlignedOddW1OddW2(dest : PDouble; const destLineWidth : TASMNativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : TASMNativeInt; const LineWidth1, LineWidth2 : TASMNativeInt);
procedure ASMMatrixMultUnAlignedOddW1OddW2(dest : PDouble; const destLineWidth : TASMNativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : TASMNativeInt; const LineWidth1, LineWidth2 : TASMNativeInt);
// som special types of multiplications used e.g. in QR Decomposition
// note the result is stored in mt2 again!
// dest = mt1'*mt2; where mt2 is a lower triangular matrix and the operation is transposition
// the function assumes a unit diagonal (does not touch the real middle elements)
// width and height values are assumed to be the "original" (non transposed) ones
procedure ASMMtxMultTria2T1(dest : PDouble; LineWidthDest : TASMNativeInt; mt1 : PDouble; LineWidth1 : TASMNativeInt; mt2 : PDouble; LineWidth2 : TASMNativeInt;
width1, height1, width2, height2 : TASMNativeInt);
{$ENDIF}
implementation
{$IFNDEF x64}
{$IFDEF FPC} {$ASMMODE intel} {$ENDIF}
procedure ASMMatrixMultAlignedEvenW1EvenW2(dest : PDouble; const destLineWidth : TASMNativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : TASMNativeInt; const LineWidth1, LineWidth2 : TASMNativeInt);
var destOffset : TASMNativeInt;
iters1, iters2 : TASMNativeInt;
bytesWidth2 : TASMNativeInt;
Linewidth2_2 : TASMNativeInt;
y : TASMNativeInt;
begin
assert(((LineWidth1 and $0000000F) = 0) and ((destLineWidth and $0000000F) = 0) and ((LineWidth2 and $0000000F) = 0), 'Error line widths must be aligned');
assert(((Cardinal(dest) and $0000000F) = 0) and ((Cardinal(mt1) and $0000000F) = 0) and ((Cardinal(mt2) and $0000000F) = 0), 'Error aligned operations cannot be performed');
assert((width1 and $00000001 = 0) and (width2 and $00000001 = 0), 'Error widths are not even');
asm
push ebx;
push esi;
push edi;
//destOffset := destLineWidth - Width2*sizeof(double);
mov ecx, Width2;
shl ecx, 3;
mov edx, destLineWidth;
sub edx, ecx;
mov destOffset, edx;
//iters1 := width2 div 2;
mov edx, width2;
shr edx, 1;
mov iters1, edx;
//iters2 := -(width1 div 2)*2*sizeof(double);
mov edx, width1;
and edx, $FFFFFFFE;
shl edx, 3;
imul edx, -1;
mov iters2, edx;
//bytesWidth2 := width2*sizeof(double);
mov bytesWidth2, ecx;
//Linewidth2_2 := 2*LineWidth2;
mov edx, LineWidth2;
shl edx, 1;
mov LineWidth2_2, edx;
// initalize matrices
mov esi, mt2; // use the esi register for faster access
mov ecx, mt1; // prepare ecx for the "reversed" for loop
sub ecx, iters2;
// for y := 0 to height1 - 1:
mov eax, Height1;
mov y, eax;
mov eax, LineWidth2;
@@forylabel:
// for x := 0 to width2 - 1:
mov ebx, iters1;
@@forxlabel:
xorpd xmm0, xmm0; // dest^ := 0
xorpd xmm7, xmm7; // (dest + 1)^ := 0;
mov edi, esi; // valcounter2
// for idx := 0 to width1 div 2 do
mov edx, iters2;
@@InnerLoop:
movapd xmm1, [ecx + edx];
// load 2x2 block
movapd xmm3, [edi];
movapd xmm5, xmm3;
movapd xmm4, [edi + eax];
add edi, Linewidth2_2;
movapd xmm6, xmm4;
// swap such that we can immediately multiply
movhlps xmm4, xmm5;
movlhps xmm3, xmm6;
// it's a bit faster if we reuse a register - seems the cpu can
// then parallelize the instructions better
movapd xmm6, xmm1;
// multiply 2x2 and add
mulpd xmm3, xmm1;
mulpd xmm4, xmm6;
addpd xmm0, xmm3;
addpd xmm7, xmm4;
// end for idx := 0 to width1 div 2
//dec edx;
add edx, 16;
jnz @@InnerLoop;
// final horizontal addition
xorpd xmm2, xmm2;
haddpd xmm0, xmm2;
haddpd xmm7, xmm2;
// compact result
movlhps xmm0, xmm7;
// store back result
mov edi, dest;
movntdq [edi], xmm0;
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add esi, 16;
add dword ptr [dest], 16;
// end for x := 0 to width2 - 1
dec ebx;
jnz @@forxlabel;
// dec(mt2, Width2);
// inc(PByte(mt1), LineWidth1);
// inc(PByte(dest), destOffset);
//mov ebx, bytesWidth2;
//sub dword ptr [mt2], ebx;
sub esi, bytesWidth2;
add ecx, LineWidth1;
mov ebx, destOffset;
add dword ptr [dest], ebx;
// end for y := 0 to height1 - 1
//dec eax;
dec y;
jnz @@forylabel
pop edi;
pop esi;
pop ebx;
end;
end;
procedure ASMMatrixMultUnAlignedEvenW1EvenW2(dest : PDouble; const destLineWidth : TASMNativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : TASMNativeInt; const LineWidth1, LineWidth2 : TASMNativeInt);
var destOffset : TASMNativeInt;
iters1, iters2 : TASMNativeInt;
bytesWidth2 : TASMNativeInt;
Linewidth2_2 : TASMNativeInt;
y : TASMNativeInt;
begin
assert((width1 and $00000001 = 0) and (width2 and $00000001 = 0), 'Error widths are not even');
destOffset := destLineWidth - Width2*sizeof(double);
iters1 := width2 div 2;
iters2 := -(width1 div 2)*2*sizeof(double);
bytesWidth2 := width2*sizeof(double);
Linewidth2_2 := 2*LineWidth2;
asm
push ebx;
push esi;
push edi;
mov esi, mt2; // use the esi register for faster access
mov ecx, mt1; // prepare ecx for the "reversed" for loop
sub ecx, iters2;
// for y := 0 to height1 - 1:
mov eax, Height1;
mov y, eax;
mov eax, LineWidth2;
@@forylabel:
// for x := 0 to width2 - 1:
mov ebx, iters1;
@@forxlabel:
xorpd xmm0, xmm0; // dest^ := 0
xorpd xmm7, xmm7; // (dest + 1)^ := 0;
mov edi, esi; // valcounter2
// for idx := 0 to width1 div 2 do
mov edx, iters2;
@@InnerLoop:
movupd xmm1, [ecx + edx];
// load 2x2 block
movupd xmm3, [edi];
movapd xmm5, xmm3;
movupd xmm4, [edi + eax];
add edi, Linewidth2_2;
movapd xmm6, xmm4;
// swap such that we can immediately multiply
movhlps xmm4, xmm5;
movlhps xmm3, xmm6;
// it's a bit faster if we reuse a register - seems the cpu can
// then parallelize the instructions better
movapd xmm6, xmm1;
// multiply 2x2 and add
mulpd xmm3, xmm1;
mulpd xmm4, xmm6;
addpd xmm0, xmm3;
addpd xmm7, xmm4;
// end for idx := 0 to width1 div 2
//dec edx;
add edx, 16;
jnz @@InnerLoop;
// final horizontal addition
xorpd xmm2, xmm2;
haddpd xmm0, xmm2;
haddpd xmm7, xmm2;
// compact result
movlhps xmm0, xmm7;
// store back result
mov edi, dest;
movupd [edi], xmm0;
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add esi, 16;
add dword ptr [dest], 16;
// end for x := 0 to width2 - 1
dec ebx;
jnz @@forxlabel;
// dec(mt2, Width2);
// inc(PByte(mt1), LineWidth1);
// inc(PByte(dest), destOffset);
//mov ebx, bytesWidth2;
//sub dword ptr [mt2], ebx;
sub esi, bytesWidth2;
add ecx, LineWidth1;
mov ebx, destOffset;
add dword ptr [dest], ebx;
// end for y := 0 to height1 - 1
//dec eax;
dec y;
jnz @@forylabel
pop edi;
pop esi;
pop ebx;
end;
end;
procedure ASMMatrixMultUnAlignedOddW1EvenW2(dest : PDouble; const destLineWidth : TASMNativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : TASMNativeInt; const LineWidth1, LineWidth2 : TASMNativeInt);
var destOffset : TASMNativeInt;
iters1, iters2 : TASMNativeInt;
Linewidth2_2 : TASMNativeInt;
y : TASMNativeInt;
begin
assert((width2 and $00000001) = 0, 'Error there is no odd width2');
assert((width1 and $00000001) = 1, 'Error width1 is not even');
// todo: is it better to not use pointer arithmetic?
destOffset := destLineWidth - Width2*sizeof(double);
iters1 := width2 div 2;
iters2 := -(width1 - 1)*sizeof(double);
Linewidth2_2 := 2*LineWidth2;
asm
push ebx;
push esi;
push edi;
mov esi, mt2; // use the esi register for faster access
mov ecx, mt1; // prepare ecx for the "reversed" for loop
sub ecx, iters2;
xorpd xmm2, xmm2;
// for y := 0 to height1 - 1:
mov eax, Height1;
mov y, eax;
mov eax, LineWidth2;
@@forylabel:
// for x := 0 to width2 - 1:
mov ebx, iters1;
@@forxlabel:
xorpd xmm0, xmm0; // dest^ := 0
xorpd xmm7, xmm7; // (dest + 1)^ := 0;
mov edi, esi; // valcounter2
// for idx := 0 to width1 div 2 do
mov edx, iters2;
@@InnerLoop:
movupd xmm1, [ecx + edx];
// load 2x2 block
movupd xmm3, [edi];
movapd xmm5, xmm3;
movupd xmm4, [edi + eax];
add edi, Linewidth2_2;
movapd xmm6, xmm4;
// swap such that we can immediately multiply
movhlps xmm4, xmm5;
movlhps xmm3, xmm6;
// it's a bit faster if we reuse a register - seems the cpu can
// then parallelize the instructions better
movapd xmm6, xmm1;
// multiply 2x2 and add
mulpd xmm3, xmm1;
mulpd xmm4, xmm6;
addpd xmm0, xmm3;
addpd xmm7, xmm4;
// end for idx := 0 to width1 div 2
//dec edx;
add edx, 16;
jnz @@InnerLoop;
// special treatment of the last column of mt1:
movddup xmm1, [ecx];
movupd xmm3, [edi];
mulpd xmm1, xmm3;
// final horizontal addition
xorpd xmm3, xmm3;
movq xmm2, xmm1;
addsd xmm0, xmm2;
haddpd xmm0, xmm3;
movhlps xmm2, xmm1;
addsd xmm7, xmm2;
haddpd xmm7, xmm3;
// compact result
movlhps xmm0, xmm7;
// store back result
mov edi, dest;
movupd [edi], xmm0;
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add esi, 16;
add dword ptr [dest], 16;
// end for x := 0 to width2 - 1
dec ebx;
jnz @@forxlabel;
// dec(mt2, Width2);
// inc(PByte(mt1), LineWidth1);
// inc(PByte(dest), destOffset);
//mov ebx, bytesWidth2;
//sub dword ptr [mt2], ebx;
mov esi, mt2; //sub esi, bytesWidth2;
add ecx, LineWidth1;
mov ebx, destOffset;
add dword ptr [dest], ebx;
// end for y := 0 to height1 - 1
//dec eax;
dec y;
jnz @@forylabel
pop edi;
pop esi;
pop ebx;
end;
end;
procedure ASMMatrixMultAlignedOddW1EvenW2(dest : PDouble; const destLineWidth : TASMNativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : TASMNativeInt; const LineWidth1, LineWidth2 : TASMNativeInt);
var destOffset : TASMNativeInt;
iters1, iters2 : TASMNativeInt;
Linewidth2_2 : TASMNativeInt;
y : TASMNativeInt;
begin
assert(((Cardinal(dest) and $0000000F) = 0) and ((Cardinal(mt1) and $0000000F) = 0) and ((Cardinal(mt2) and $0000000F) = 0), 'Error aligned operations cannot be performed');
assert(((LineWidth1 and $0000000F) = 0) and ((destLineWidth and $0000000F) = 0) and ((LineWidth2 and $0000000F) = 0), 'Error line widths must be aligned');
assert((width2 and $00000001) = 0, 'Error there is no odd width2');
assert((width1 and $00000001) = 1, 'Error width1 is not even');
destOffset := destLineWidth - Width2*sizeof(double);
iters1 := width2 div 2;
iters2 := -(width1 - 1)*sizeof(double);
Linewidth2_2 := 2*LineWidth2;
asm
push ebx;
push esi;
push edi;
mov esi, mt2; // use the esi register for faster access
mov ecx, mt1; // prepare ecx for the "reversed" for loop
sub ecx, iters2;
// for y := 0 to height1 - 1:
mov eax, Height1;
mov y, eax;
mov eax, LineWidth2;
@@forylabel:
// for x := 0 to width2 - 1:
mov ebx, iters1;
@@forxlabel:
xorpd xmm0, xmm0; // dest^ := 0
xorpd xmm7, xmm7; // (dest + 1)^ := 0;
mov edi, esi; // valcounter2
// for idx := 0 to width1 div 2 do
mov edx, iters2;
@@InnerLoop:
movapd xmm1, [ecx + edx];
// load 2x2 block
movapd xmm3, [edi];
movapd xmm5, xmm3;
movapd xmm4, [edi + eax];
add edi, Linewidth2_2;
movapd xmm6, xmm4;
// swap such that we can immediately multiply
movhlps xmm4, xmm5;
movlhps xmm3, xmm6;
// it's a bit faster if we reuse a register - seems the cpu can
// then parallelize the instructions better
movapd xmm6, xmm1;
// multiply 2x2 and add
mulpd xmm3, xmm1;
mulpd xmm4, xmm6;
addpd xmm0, xmm3;
addpd xmm7, xmm4;
// end for idx := 0 to width1 div 2
//dec edx;
add edx, 16;
jnz @@InnerLoop;
// special treatment of the last column of mt1:
movddup xmm1, [ecx];
movapd xmm3, [edi];
mulpd xmm1, xmm3;
// final horizontal addition
xorpd xmm3, xmm3;
movq xmm2, xmm1;
addsd xmm0, xmm2;
haddpd xmm0, xmm3;
xorpd xmm2, xmm2;
movhlps xmm2, xmm1;
addsd xmm7, xmm2;
haddpd xmm7, xmm3;
// compact result
movlhps xmm0, xmm7;
// store back result
mov edi, dest;
movapd [edi], xmm0;
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add esi, 16;
add dword ptr [dest], 16;
// end for x := 0 to width2 - 1
dec ebx;
jnz @@forxlabel;
// dec(mt2, Width2);
// inc(PByte(mt1), LineWidth1);
// inc(PByte(dest), destOffset);
//mov ebx, bytesWidth2;
//sub dword ptr [mt2], ebx;
mov esi, mt2;
add ecx, LineWidth1;
mov ebx, destOffset;
add dword ptr [dest], ebx;
// end for y := 0 to height1 - 1
//dec eax;
dec y;
jnz @@forylabel
pop edi;
pop esi;
pop ebx;
end;
end;
procedure ASMMatrixMultAlignedEvenW1OddW2(dest : PDouble; const destLineWidth : TASMNativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : TASMNativeInt; const LineWidth1, LineWidth2 : TASMNativeInt);
var destOffset : TASMNativeInt;
iters1, iters2 : TASMNativeInt;
bytesWidth2 : TASMNativeInt;
Linewidth2_2 : TASMNativeInt;
y : TASMNativeInt;
begin
assert(((Cardinal(dest) and $0000000F) = 0) and ((Cardinal(mt1) and $0000000F) = 0) and ((Cardinal(mt2) and $0000000F) = 0), 'Error aligned operations cannot be performed');
assert(((LineWidth1 and $0000000F) = 0) and ((destLineWidth and $0000000F) = 0) and ((LineWidth2 and $0000000F) = 0), 'Error line widths must be aligned');
assert((width2 and $00000001) = 1, 'Error there is no odd width2');
assert((width1 and $00000001) = 0, 'Error width1 is not even');
destOffset := destLineWidth - (Width2 - 1)*sizeof(double);
iters1 := width2 div 2;
iters2 := -width1*sizeof(double);
bytesWidth2 := (width2 - 1)*sizeof(double);
Linewidth2_2 := 2*LineWidth2;
asm
push ebx;
push esi;
push edi;
mov esi, mt2; // use the esi register for faster access
mov ecx, mt1; // prepare ecx for the "reversed" for loop
sub ecx, iters2;
xorpd xmm2, xmm2;
// for y := 0 to height1 - 1:
mov eax, Height1;
mov y, eax;
mov eax, LineWidth2;
@@forylabel:
// for x := 0 to width2 - 1:
mov ebx, iters1;
@@forxlabel:
xorpd xmm0, xmm0; // dest^ := 0
xorpd xmm7, xmm7; // (dest + 1)^ := 0;
mov edi, esi; // valcounter2
// for idx := 0 to width1 div 2 do
mov edx, iters2;
@@InnerLoop:
movapd xmm1, [ecx + edx];
// load 2x2 block
movapd xmm3, [edi];
movapd xmm5, xmm3;
movapd xmm4, [edi + eax];
add edi, Linewidth2_2;
movapd xmm6, xmm4;
// swap such that we can immediately multiply
movhlps xmm4, xmm5;
movlhps xmm3, xmm6;
// it's a bit faster if we reuse a register - seems the cpu can
// then parallelize the instructions better
movapd xmm6, xmm1;
// multiply 2x2 and add
mulpd xmm3, xmm1;
mulpd xmm4, xmm6;
addpd xmm0, xmm3;
addpd xmm7, xmm4;
// end for idx := 0 to width1 div 2
//dec edx;
add edx, 16;
jnz @@InnerLoop;
// final horizontal addition
haddpd xmm0, xmm2;
haddpd xmm7, xmm2;
// compact result
movlhps xmm0, xmm7;
// store back result
mov edi, dest;
movntdq [edi], xmm0;
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add esi, 16;
add dword ptr [dest], 16;
// end for x := 0 to width2 - 1
dec ebx;
jnz @@forxlabel;
// handle the last column of mt2
xorpd xmm0, xmm0; // dest^ := 0
mov edi, esi; // valcounter2
mov ebx, iters2;
@@InnerLoop2:
// load element from line
movlpd xmm1, [ecx + ebx];
// load, multiply and add
mulsd xmm1, [edi];
add edi, eax; // next row
addsd xmm0, xmm1;
add ebx, 8;
jnz @@InnerLoop2;
mov edi, dest;
movlpd [edi], xmm0;
// dec(mt2, Width2);
// inc(PByte(mt1), LineWidth1);
// inc(PByte(dest), destOffset);
//mov ebx, bytesWidth2;
//sub dword ptr [mt2], ebx;
sub esi, bytesWidth2;
add ecx, LineWidth1;
mov ebx, destOffset;
add dword ptr [dest], ebx;
// end for y := 0 to height1 - 1
//dec eax;
dec y;
jnz @@forylabel
pop edi;
pop esi;
pop ebx;
end;
end;
procedure ASMMatrixMultUnAlignedEvenW1OddW2(dest : PDouble; const destLineWidth : TASMNativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : TASMNativeInt; const LineWidth1, LineWidth2 : TASMNativeInt);
var destOffset : TASMNativeInt;
iters1, iters2 : TASMNativeInt;
bytesWidth2 : TASMNativeInt;
Linewidth2_2 : TASMNativeInt;
y : TASMNativeInt;
begin
assert((width2 and $00000001) = 1, 'Error there is no odd width2');
assert((width1 and $00000001) = 0, 'Error width1 is not even');
destOffset := destLineWidth - (Width2 - 1)*sizeof(double);
iters1 := width2 div 2;
iters2 := -width1*sizeof(double);
bytesWidth2 := (width2 - 1)*sizeof(double);
Linewidth2_2 := 2*LineWidth2;
asm
push ebx;
push esi;
push edi;
mov esi, mt2; // use the esi register for faster access
mov ecx, mt1; // prepare ecx for the "reversed" for loop
sub ecx, iters2;
xorpd xmm2, xmm2;
// for y := 0 to height1 - 1:
mov eax, Height1;
mov y, eax;
mov eax, LineWidth2;
@@forylabel:
// for x := 0 to width2 - 1:
mov ebx, iters1;
@@forxlabel:
xorpd xmm0, xmm0; // dest^ := 0
xorpd xmm7, xmm7; // (dest + 1)^ := 0;
mov edi, esi; // valcounter2
// for idx := 0 to width1 div 2 do
mov edx, iters2;
@@InnerLoop:
movupd xmm1, [ecx + edx];
// load 2x2 block
movupd xmm3, [edi];
movapd xmm5, xmm3;
movupd xmm4, [edi + eax];
add edi, Linewidth2_2;
movapd xmm6, xmm4;
// swap such that we can immediately multiply
movhlps xmm4, xmm5;
movlhps xmm3, xmm6;
// it's a bit faster if we reuse a register - seems the cpu can
// then parallelize the instructions better
movapd xmm6, xmm1;
// multiply 2x2 and add
mulpd xmm3, xmm1;
mulpd xmm4, xmm6;
addpd xmm0, xmm3;
addpd xmm7, xmm4;
// end for idx := 0 to width1 div 2
//dec edx;
add edx, 16;
jnz @@InnerLoop;
// final horizontal addition
haddpd xmm0, xmm2;
haddpd xmm7, xmm2;
// compact result
movlhps xmm0, xmm7;
// store back result
mov edi, dest;
movupd [edi], xmm0;
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add esi, 16;
add dword ptr [dest], 16;
// end for x := 0 to width2 - 1
dec ebx;
jnz @@forxlabel;
// handle the last column of mt2
xorpd xmm0, xmm0; // dest^ := 0
mov edi, esi; // valcounter2
mov ebx, iters2;
@@InnerLoop2:
// load element from line
movlpd xmm1, [ecx + ebx];
// load, multiply and add
mulsd xmm1, [edi];
add edi, eax; // next row
addsd xmm0, xmm1;
add ebx, 8;
jnz @@InnerLoop2;
mov edi, dest;
movlpd [edi], xmm0;
// dec(mt2, Width2);
// inc(PByte(mt1), LineWidth1);
// inc(PByte(dest), destOffset);
//mov ebx, bytesWidth2;
//sub dword ptr [mt2], ebx;
sub esi, bytesWidth2;
add ecx, LineWidth1;
mov ebx, destOffset;
add dword ptr [dest], ebx;
// end for y := 0 to height1 - 1
//dec eax;
dec y;
jnz @@forylabel
pop edi;
pop esi;
pop ebx;
end;
end;
procedure ASMMatrixMultAlignedOddW1OddW2(dest : PDouble; const destLineWidth : TASMNativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : TASMNativeInt; const LineWidth1, LineWidth2 : TASMNativeInt);
var destOffset : TASMNativeInt;
iters1, iters2, iters3 : TASMNativeInt;
Linewidth2_2 : TASMNativeInt;
y : TASMNativeInt;
begin
assert(((Cardinal(dest) and $0000000F) = 0) and ((Cardinal(mt1) and $0000000F) = 0) and ((Cardinal(mt2) and $0000000F) = 0), 'Error aligned operations cannot be performed');
assert(((LineWidth1 and $0000000F) = 0) and ((destLineWidth and $0000000F) = 0) and ((LineWidth2 and $0000000F) = 0), 'Error line widths must be aligned');
assert((width2 and $00000001) = 1, 'Error there is no odd width2');
assert((width1 and $00000001) = 1, 'Error width1 is not even');
destOffset := destLineWidth - (Width2 - 1)*sizeof(double);
iters1 := width2 div 2;
iters2 := -(width1 - 1)*sizeof(double);
iters3 := -width1*sizeof(double);
Linewidth2_2 := 2*LineWidth2;
asm
push ebx;
push esi;
push edi;
mov esi, mt2; // use the esi register for faster access
mov ecx, mt1; // prepare ecx for the "reversed" for loop
sub ecx, iters2;
xorpd xmm2, xmm2;
// for y := 0 to height1 - 1:
mov eax, Height1;
mov y, eax;
mov eax, LineWidth2;
@@forylabel:
// for x := 0 to width2 - 1:
mov ebx, iters1;
@@forxlabel:
xorpd xmm0, xmm0; // dest^ := 0
xorpd xmm7, xmm7; // (dest + 1)^ := 0;
mov edi, esi; // valcounter2
// for idx := 0 to width1 div 2 do
mov edx, iters2;
@@InnerLoop:
movapd xmm1, [ecx + edx];
// load 2x2 block
movapd xmm3, [edi];
movapd xmm5, xmm3;
movapd xmm4, [edi + eax];
add edi, Linewidth2_2;
movapd xmm6, xmm4;
// swap such that we can immediately multiply
movhlps xmm4, xmm5;
movlhps xmm3, xmm6;
// it's a bit faster if we reuse a register - seems the cpu can
// then parallelize the instructions better
movapd xmm6, xmm1;
// multiply 2x2 and add
mulpd xmm3, xmm1;
mulpd xmm4, xmm6;
addpd xmm0, xmm3;
addpd xmm7, xmm4;
// end for idx := 0 to width1 div 2
//dec edx;
add edx, 16;
jnz @@InnerLoop;
// special treatment of the last column of mt1:
movddup xmm1, [ecx];
movupd xmm3, [edi];
mulpd xmm1, xmm3;
// final horizontal addition
xorpd xmm3, xmm3;
movq xmm2, xmm1;
addsd xmm0, xmm2;
haddpd xmm0, xmm3;
movhlps xmm2, xmm1;
addsd xmm7, xmm2;
haddpd xmm7, xmm3;
// compact result
movlhps xmm0, xmm7;
// store back result
mov edi, dest;
movntdq [edi], xmm0;
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add esi, 16;
add dword ptr [dest], 16;
// end for x := 0 to width2 - 1
dec ebx;
jnz @@forxlabel;
// handle the last column of mt2
xorpd xmm0, xmm0; // dest^ := 0
mov edi, esi; // valcounter2
add ecx, 8; // adjust for odd width1
mov ebx, iters3;
@@InnerLoop2:
// load element from line
movlpd xmm1, [ecx + ebx];
// load, multiply and add
mulsd xmm1, [edi];
add edi, eax; // next row
addsd xmm0, xmm1;
add ebx, 8;
jnz @@InnerLoop2;
mov edi, dest;
movlpd [edi], xmm0;
// dec(mt2, Width2);
// inc(PByte(mt1), LineWidth1);
// inc(PByte(dest), destOffset);
//mov ebx, bytesWidth2;
//sub dword ptr [mt2], ebx;
mov esi, mt2;
add ecx, LineWidth1;
sub ecx, 8; // undo odd adjustment
mov ebx, destOffset;
add dword ptr [dest], ebx;
// end for y := 0 to height1 - 1
//dec eax;
dec y;
jnz @@forylabel
pop edi;
pop esi;
pop ebx;
end;