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ASMMatrixMultOperations.pas
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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
{$I 'mrMath_CPU.inc'}
{$IFNDEF x64}
// full matrix operations -> there are no zero columns nor zero lines attached
procedure ASMMatrixMultAlignedEvenW1EvenW2(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMultUnAlignedEvenW1EvenW2(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// the width of the second matrix is uneven -> the last column of mt2 must be handled differently
procedure ASMMatrixMultAlignedEvenW1OddW2(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMultUnAlignedEvenW1OddW2(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// the width of mt1 is odd but the one of mt2 is even
procedure ASMMatrixMultAlignedOddW1EvenW2(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMultUnAlignedOddW1EvenW2(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// both matrices have an odd width
procedure ASMMatrixMultAlignedOddW1OddW2(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMultUnAlignedOddW1OddW2(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// some 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 : NativeInt; mt1 : PDouble; LineWidth1 : NativeInt; mt2 : PDouble; LineWidth2 : NativeInt;
width1, height1, width2, height2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// mt1 = mt1*mt2'; where mt2 is an upper triangular matrix
procedure ASMMtxMultTria2T1StoreT1(mt1 : PDouble; LineWidth1 : NativeInt; mt2 : PDouble; LineWidth2 : NativeInt;
width1, height1, width2, height2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// calculates mt1 = mt1*mt2', mt2 = lower triangular matrix. diagonal elements are assumed to be 1!
procedure ASMMtxMultLowTria2T2Store1(mt1 : PDouble; LineWidth1 : NativeInt; mt2 : PDouble; LineWidth2 : NativeInt;
width1, height1, width2, height2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// W = C1*V1*T -> V1 is an upper triangular matrix with assumed unit diagonal entries. Operation on V1 transposition
procedure ASMMtxMultTria2TUpperUnit(dest : PDouble; LineWidthDest : NativeInt; mt1 : PDouble; LineWidth1 : NativeInt; mt2 : PDouble; LineWidth2 : NativeInt;
width1, height1, width2, height2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// mt1 = mt1*mt2; where mt2 is an upper triangular matrix
procedure ASMMtxMultTria2Store1(mt1 : PDouble; LineWidth1 : NativeInt; mt2 : PDouble; LineWidth2 : NativeInt;
width1, height1, width2, height2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// mt1 = mt1*mt2; where mt2 is an upper triangular matrix - diagonal elements are unit
procedure ASMMtxMultTria2Store1Unit(mt1 : PDouble; LineWidth1 : NativeInt; mt2 : PDouble; LineWidth2 : NativeInt;
width1, height1, width2, height2 : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// performs a rank2 update in the form
// C = C - A*B' - B*A'
// N...order of C (N x N matrix)
// k... number of columns of A and B
// the lower triangle of C is not referenced
procedure ASMSymRank2UpdateUpperUnaligned( C : PDouble; LineWidthC : NativeInt; A : PDouble; LineWidthA : NativeInt;
B : PDouble; LineWidthB : NativeInt; N : NativeInt; k : NativeInt ); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
{$ENDIF}
implementation
{$IFNDEF x64}
procedure ASMMatrixMultAlignedEvenW1EvenW2(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt);
var destOffset : NativeInt;
iters : NativeInt;
bytesWidth2 : NativeInt;
// eax = dest, edx = destLineWidth, ecx = mt1
asm
push ebx;
push esi;
push edi;
//destOffset := destLineWidth - Width2*sizeof(double);
mov ebx, Width2;
shl ebx, 3;
sub edx, ebx;
mov destOffset, edx;
//iters1 := width2 div 2;
mov edx, width2;
shr edx, 1;
mov width2, edx;
//iters2 := -width1*sizeof(double);
mov edx, width1;
imul edx, -8;
mov iters, edx;
//bytesWidth2 := width2*sizeof(double);
mov bytesWidth2, ebx;
// initalize matrices
sub ecx, iters;
// for y := 0 to height1 - 1:
mov esi, LineWidth2;
@@forylabel:
// for x := 0 to width2 - 1:
mov ebx, width2;
@@forxlabel:
xorpd xmm0, xmm0; // dest^ := 0
xorpd xmm7, xmm7; // (dest + 1)^ := 0;
mov edi, mt2; // valcounter2
// for idx := 0 to width1 div 2 do
mov edx, iters;
@@InnerLoop:
movapd xmm1, [ecx + edx];
// load 2x2 block
movapd xmm3, [edi];
movapd xmm5, xmm3;
movapd xmm4, [edi + esi];
movapd xmm6, xmm4;
// swap such that we can immediately multiply
movhlps xmm4, xmm5;
movlhps xmm3, xmm6;
// eventually we can use 2 cpu ports when replicated
movapd xmm6, xmm1;
add edi, esi;
// multiply 2x2 and add
mulpd xmm3, xmm1;
mulpd xmm4, xmm6;
addpd xmm0, xmm3;
addpd xmm7, xmm4;
add edi, esi; // now edi points two rows further
// end for idx := 0 to width1 div 2
//dec edx;
add edx, 16;
jnz @@InnerLoop;
// final horizontal addition and compact
haddpd xmm0, xmm7;
// store back result
movapd [eax], xmm0;
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add mt2, 16;
add eax, 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 edx, bytesWidth2;
sub mt2, edx;
add ecx, LineWidth1;
add eax, destOffset;
// end for y := 0 to height1 - 1
//dec eax;
dec Height1;
jnz @@forylabel
pop edi;
pop esi;
pop ebx;
end;
procedure ASMMatrixMultUnAlignedEvenW1EvenW2(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt);
var destOffset : NativeInt;
iters : NativeInt;
bytesWidth2 : NativeInt;
// eax = dest, edx = destLineWidth, ecx = mt1
asm
push ebx;
push esi;
push edi;
//destOffset := destLineWidth - Width2*sizeof(double);
mov ebx, Width2;
shl ebx, 3;
sub edx, ebx;
mov destOffset, edx;
//iters1 := width2 div 2;
mov edx, width2;
shr edx, 1;
mov width2, edx;
//iters2 := -width1*sizeof(double);
mov edx, width1;
imul edx, -8;
mov iters, edx;
//bytesWidth2 := width2*sizeof(double);
mov bytesWidth2, ebx;
// initalize matrices
sub ecx, iters;
// for y := 0 to height1 - 1:
mov esi, LineWidth2;
@@forylabel:
// for x := 0 to width2 - 1:
mov ebx, width2;
@@forxlabel:
xorpd xmm0, xmm0; // dest^ := 0
xorpd xmm7, xmm7; // (dest + 1)^ := 0;
mov edi, mt2; // valcounter2
// for idx := 0 to width1 div 2 do
mov edx, iters;
@@InnerLoop:
movupd xmm1, [ecx + edx];
// load 2x2 block
movupd xmm3, [edi];
movapd xmm5, xmm3;
movupd xmm4, [edi + esi];
movapd xmm6, xmm4;
// swap such that we can immediately multiply
movhlps xmm4, xmm5;
movlhps xmm3, xmm6;
// eventually we can use 2 cpu ports when replicated
movapd xmm6, xmm1;
add edi, esi;
// multiply 2x2 and add
mulpd xmm3, xmm1;
mulpd xmm4, xmm6;
addpd xmm0, xmm3;
addpd xmm7, xmm4;
add edi, esi; // now edi points two rows further
// end for idx := 0 to width1 div 2
//dec edx;
add edx, 16;
jnz @@InnerLoop;
// final horizontal addition and compact
haddpd xmm0, xmm7;
// store back result
movupd [eax], xmm0;
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add mt2, 16;
add eax, 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 edx, bytesWidth2;
sub mt2, edx;
add ecx, LineWidth1;
add eax, destOffset;
// end for y := 0 to height1 - 1
//dec eax;
dec Height1;
jnz @@forylabel
pop edi;
pop esi;
pop ebx;
end;
procedure ASMMatrixMultUnAlignedOddW1EvenW2(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt);
var destOffset : NativeInt;
iters : NativeInt;
bytesWidth2 : NativeInt;
// eax = dest, edx = destLineWidth, ecx = mt1
asm
push ebx;
push esi;
push edi;
//destOffset := destLineWidth - Width2*sizeof(double);
mov ebx, Width2;
shl ebx, 3;
sub edx, ebx;
mov destOffset, edx;
//iters1 := width2 div 2;
mov edx, width2;
shr edx, 1;
mov width2, edx;
//-(width1 - 1)*sizeof(double)
mov edx, width1;
dec edx;
imul edx, -8;
mov iters, edx;
//bytesWidth2 := width2*sizeof(double);
mov bytesWidth2, ebx;
// initalize matrices
mov ecx, mt1; // prepare ecx for the "reversed" for loop
sub ecx, iters;
// for y := 0 to height1 - 1:
mov esi, LineWidth2;
@@forylabel:
// for x := 0 to width2 - 1:
mov ebx, width2;
@@forxlabel:
xorpd xmm0, xmm0; // dest^ := 0
xorpd xmm7, xmm7; // (dest + 1)^ := 0;
mov edi, mt2; // valcounter2
// for idx := 0 to width1 div 2 do
mov edx, iters;
@@InnerLoop:
movupd xmm1, [ecx + edx];
// load 2x2 block
movupd xmm3, [edi];
movapd xmm5, xmm3;
movupd xmm4, [edi + esi];
movapd xmm6, xmm4;
// swap such that we can immediately multiply
movhlps xmm4, xmm5;
movlhps xmm3, xmm6;
// eventually we can use 2 cpu ports when replicated
movapd xmm6, xmm1;
add edi, esi;
// multiply 2x2 and add
mulpd xmm3, xmm1;
mulpd xmm4, xmm6;
addpd xmm0, xmm3;
addpd xmm7, xmm4;
add edi, esi; // now edi points two rows further
// end for idx := 0 to width1 div 2
//dec edx;
add edx, 16;
jnz @@InnerLoop;
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;
// final horizontal addition and compact
haddpd xmm0, xmm7;
// store back result
movupd [eax], xmm0;
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add mt2, 16;
add eax, 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 edx, bytesWidth2;
sub mt2, edx;
add ecx, LineWidth1;
add eax, destOffset;
// end for y := 0 to height1 - 1
//dec eax;
dec Height1;
jnz @@forylabel
pop edi;
pop esi;
pop ebx;
end;
procedure ASMMatrixMultAlignedOddW1EvenW2(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt);
var destOffset : NativeInt;
iters : NativeInt;
bytesWidth2 : NativeInt;
// eax = dest, edx = destLineWidth, ecx = mt1
asm
push ebx;
push esi;
push edi;
//destOffset := destLineWidth - Width2*sizeof(double);
mov ebx, Width2;
shl ebx, 3;
sub edx, ebx;
mov destOffset, edx;
//iters1 := width2 div 2;
mov edx, width2;
shr edx, 1;
mov width2, edx;
//-(width1 - 1)*sizeof(double)
mov edx, width1;
dec edx;
imul edx, -8;
mov iters, edx;
//bytesWidth2 := width2*sizeof(double);
mov bytesWidth2, ebx;
// initalize matrices
mov ecx, mt1; // prepare ecx for the "reversed" for loop
sub ecx, iters;
// for y := 0 to height1 - 1:
mov esi, LineWidth2;
@@forylabel:
// for x := 0 to width2 - 1:
mov ebx, width2;
@@forxlabel:
xorpd xmm0, xmm0; // dest^ := 0
xorpd xmm7, xmm7; // (dest + 1)^ := 0;
mov edi, mt2; // valcounter2
// for idx := 0 to width1 div 2 do
mov edx, iters;
@@InnerLoop:
movapd xmm1, [ecx + edx];
// load 2x2 block
movapd xmm3, [edi];
movapd xmm5, xmm3;
movupd xmm4, [edi + esi];
movapd xmm6, xmm4;
// swap such that we can immediately multiply
movhlps xmm4, xmm5;
movlhps xmm3, xmm6;
// eventually we can use 2 cpu ports when replicated
movapd xmm6, xmm1;
add edi, esi;
// multiply 2x2 and add
mulpd xmm3, xmm1;
mulpd xmm4, xmm6;
addpd xmm0, xmm3;
addpd xmm7, xmm4;
add edi, esi; // now edi points two rows further
// end for idx := 0 to width1 div 2
//dec edx;
add edx, 16;
jnz @@InnerLoop;
movddup xmm1, [ecx];
movapd 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;
// final horizontal addition and compact
haddpd xmm0, xmm7;
// store back result
movapd [eax], xmm0;
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add mt2, 16;
add eax, 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 edx, bytesWidth2;
sub mt2, edx;
add ecx, LineWidth1;
add eax, destOffset;
// end for y := 0 to height1 - 1
//dec eax;
dec Height1;
jnz @@forylabel
pop edi;
pop esi;
pop ebx;
end;
procedure ASMMatrixMultAlignedEvenW1OddW2(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt);
var destOffset : NativeInt;
iters : NativeInt;
bytesWidth2 : NativeInt;
// eax = dest, edx = destLineWidth, ecx = mt1
asm
push ebx;
push esi;
push edi;
//destOffset := destLineWidth - (Width2 - 1)*sizeof(double);
mov ebx, Width2;
dec ebx;
shl ebx, 3;
sub edx, ebx;
mov destOffset, edx;
//iters1 := width2 div 2;
mov edx, width2;
shr edx, 1;
mov width2, edx;
//iters2 := -width1*sizeof(double);
mov edx, width1;
imul edx, -8;
mov iters, edx;
//bytesWidth2 := (width2 - 1)*sizeof(double);
mov bytesWidth2, ebx;
// initalize matrix pointer
sub ecx, iters;
mov esi, LineWidth2;
// for y := 0 to height1 - 1:
@@forylabel:
// for x := 0 to width2 - 1:
mov ebx, width2;
@@forxlabel:
xorpd xmm0, xmm0; // dest^ := 0
xorpd xmm7, xmm7; // (dest + 1)^ := 0;
mov edi, mt2; // valcounter2
// for idx := 0 to width1 div 2 do
mov edx, iters;
@@InnerLoop:
movapd xmm1, [ecx + edx];
// load 2x2 block
movapd xmm3, [edi];
movapd xmm5, xmm3;
movapd xmm4, [edi + esi];
movapd xmm6, xmm4;
// swap such that we can immediately multiply
movhlps xmm4, xmm5;
movlhps xmm3, xmm6;
movapd xmm6, xmm1;
add edi, esi; // first row
// multiply 2x2 and add
mulpd xmm3, xmm1;
mulpd xmm4, xmm6;
addpd xmm0, xmm3;
addpd xmm7, xmm4;
add edi, esi; // 2nd row
// end for idx := 0 to width1 div 2
//dec edx;
add edx, 16;
jnz @@InnerLoop;
// final horizontal addition and compact
haddpd xmm0, xmm7;
// store back result
movapd [eax], xmm0;
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add mt2, 16;
add eax, 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, mt2; // valcounter2
mov edx, iters;
@@InnerLoop2:
// load element from line
movsd xmm1, [ecx + edx];
// load, multiply and add
mulsd xmm1, [edi];
add edi, esi; // next row
addsd xmm0, xmm1;
add edx, 8;
jnz @@InnerLoop2;
movsd [eax], xmm0;
// dec(mt2, Width2);
// inc(PByte(mt1), LineWidth1);
// inc(PByte(dest), destOffset);
//mov ebx, bytesWidth2;
//sub dword ptr [mt2], ebx;
mov edx, bytesWidth2;
sub mt2, edx;
add ecx, LineWidth1;
add eax, destOffset;
// end for y := 0 to height1 - 1
dec Height1;
jnz @@forylabel
pop edi;
pop esi;
pop ebx;
end;
procedure ASMMatrixMultUnAlignedEvenW1OddW2(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt);
var destOffset : NativeInt;
iters : NativeInt;
bytesWidth2 : NativeInt;
// eax = dest, edx = destLineWidth, ecx = mt1
asm
push ebx;
push esi;
push edi;
//destOffset := destLineWidth - (Width2 - 1)*sizeof(double);
mov ebx, Width2;
dec ebx;
shl ebx, 3;
sub edx, ebx;
mov destOffset, edx;
//iters1 := width2 div 2;
mov edx, width2;
shr edx, 1;
mov width2, edx;
//iters2 := -width1*sizeof(double);
mov edx, width1;
imul edx, -8;
mov iters, edx;
//bytesWidth2 := (width2 - 1)*sizeof(double);
mov bytesWidth2, ebx;
// initalize matrix pointer
sub ecx, iters;
mov esi, LineWidth2;
// for y := 0 to height1 - 1:
@@forylabel:
// for x := 0 to width2 - 1:
mov ebx, width2;
@@forxlabel:
xorpd xmm0, xmm0; // dest^ := 0
xorpd xmm7, xmm7; // (dest + 1)^ := 0;
mov edi, mt2; // valcounter2
// for idx := 0 to width1 div 2 do
mov edx, iters;
@@InnerLoop:
movupd xmm1, [ecx + edx];
// load 2x2 block
movupd xmm3, [edi];
movapd xmm5, xmm3;
movupd xmm4, [edi + esi];
movapd xmm6, xmm4;
// swap such that we can immediately multiply
movhlps xmm4, xmm5;
movlhps xmm3, xmm6;
movapd xmm6, xmm1;
add edi, esi; // first row
// multiply 2x2 and add
mulpd xmm3, xmm1;
mulpd xmm4, xmm6;
addpd xmm0, xmm3;
addpd xmm7, xmm4;
add edi, esi; // 2nd row
// end for idx := 0 to width1 div 2
//dec edx;
add edx, 16;
jnz @@InnerLoop;
// final horizontal addition and compact
haddpd xmm0, xmm7;
// store back result
movupd [eax], xmm0;
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add mt2, 16;
add eax, 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, mt2; // valcounter2
mov edx, iters;
@@InnerLoop2:
// load element from line
movsd xmm1, [ecx + edx];
// load, multiply and add
mulsd xmm1, [edi];
add edi, esi; // next row
addsd xmm0, xmm1;
add edx, 8;
jnz @@InnerLoop2;
movsd [eax], xmm0;
// dec(mt2, Width2);
// inc(PByte(mt1), LineWidth1);
// inc(PByte(dest), destOffset);
//mov ebx, bytesWidth2;
//sub dword ptr [mt2], ebx;
mov edx, bytesWidth2;
sub mt2, edx;
add ecx, LineWidth1;
add eax, destOffset;
// end for y := 0 to height1 - 1
dec Height1;
jnz @@forylabel
pop edi;
pop esi;
pop ebx;
end;
procedure ASMMatrixMultAlignedOddW1OddW2(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt);
var destOffset : NativeInt;
iters : NativeInt;
bytesWidth2 : NativeInt;
// eax = dest, edx = destLineWidth, ecx = mt1
asm
push ebx;
push esi;
push edi;
//destOffset := destLineWidth - (Width2 - 1)*sizeof(double);
mov ebx, Width2;
dec ebx;
mov width2, ebx;
shl ebx, 3;
sub edx, ebx;
mov destOffset, edx;
//iters1 := width2 div 2;
mov edx, width2;
shr edx, 1;
mov width2, edx;
//iters2 := -width1*sizeof(double);
mov edx, width1;
dec edx;
imul edx, -8;
mov iters, edx;
//bytesWidth2 := (width2 - 1)*sizeof(double);
mov bytesWidth2, ebx;
// initalize matrix pointer
sub ecx, iters;
mov esi, LineWidth2;
// for y := 0 to height1 - 1:
mov esi, LineWidth2;
@@forylabel:
// for x := 0 to width2 - 1:
mov ebx, width2;
@@forxlabel:
xorpd xmm0, xmm0; // dest^ := 0
xorpd xmm7, xmm7; // (dest + 1)^ := 0;
mov edi, mt2; // valcounter2
// for idx := 0 to width1 div 2 do
mov edx, iters;
@@InnerLoop:
movapd xmm1, [ecx + edx];
// load 2x2 block
movapd xmm3, [edi];
movapd xmm5, xmm3;
movupd xmm4, [edi + esi];
movapd xmm6, xmm4;
// swap such that we can immediately multiply
movhlps xmm4, xmm5;
movlhps xmm3, xmm6;
// eventually we can use 2 cpu ports when replicated
movapd xmm6, xmm1;
add edi, esi;
// multiply 2x2 and add
mulpd xmm3, xmm1;
mulpd xmm4, xmm6;
addpd xmm0, xmm3;
addpd xmm7, xmm4;
add edi, esi; // now edi points two rows further
// end for idx := 0 to width1 div 2
//dec edx;
add edx, 16;
jnz @@InnerLoop;
movddup xmm1, [ecx];
movapd 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;
// final horizontal addition and compact
haddpd xmm0, xmm7;
// store back result
movapd [eax], xmm0;
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add mt2, 16;
add eax, 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, mt2; // valcounter2
mov edx, iters;
@@InnerLoop2:
// load element from line
movsd xmm1, [ecx + edx];
// load, multiply and add
mulsd xmm1, [edi];
add edi, esi; // next row
addsd xmm0, xmm1;
add edx, 8;
jnz @@InnerLoop2;
movsd xmm1, [ecx];
mulsd xmm1, [edi];
addsd xmm0, xmm1;
movsd [eax], xmm0;
// dec(mt2, Width2);
// inc(PByte(mt1), LineWidth1);
// inc(PByte(dest), destOffset);
//mov ebx, bytesWidth2;
//sub dword ptr [mt2], ebx;
mov edx, bytesWidth2;
sub mt2, edx;
add ecx, LineWidth1;
add eax, destOffset;
// end for y := 0 to height1 - 1
//dec eax;
dec Height1;
jnz @@forylabel
pop edi;
pop esi;
pop ebx;
end;
procedure ASMMatrixMultUnAlignedOddW1OddW2(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; width1, height1, width2, height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt);
var destOffset : NativeInt;
iters : NativeInt;
bytesWidth2 : NativeInt;
// eax = dest, edx = destLineWidth, ecx = mt1
asm
push ebx;
push esi;
push edi;
//destOffset := destLineWidth - (Width2 - 1)*sizeof(double);
mov ebx, Width2;
dec ebx;
mov width2, ebx;
shl ebx, 3;
sub edx, ebx;