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FMAMatrixVectorMultOperations.pas
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FMAMatrixVectorMultOperations.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 FMAMatrixVectorMultOperations;
// #######################################################
// #### special routines for matrix vector multiplications.
// #######################################################
interface
{$I 'mrMath_CPU.inc'}
{$IFNDEF x64}
procedure FMAMatrixVectMultT(dest : PDouble; destLineWidth : NativeInt; mt1, v : PDouble; LineWidthMT, LineWidthV : NativeInt; width, height : NativeInt; alpha, beta : double); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// routines with special input layouts: LineWidthV needs to be sizeof(double)
procedure FMAMatrixVectMultAlignedVAligned(dest : PDouble; destLineWidth : NativeInt; mt1, v : PDouble; LineWidthMT, LineWidthV : NativeInt; width, height : NativeInt; alpha, beta : double); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure FMAMatrixVectMultUnAlignedVAligned(dest : PDouble; destLineWidth : NativeInt; mt1, v : PDouble; LineWidthMT, LineWidthV : NativeInt; width, height : NativeInt; alpha, beta : double); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// destlinewidth needs to be sizeof(double)!
// no speed gain agains amsmatrixVectMultT
procedure FMAMatrixVecMultTDestVec(dest : PDouble; destLineWidth : NativeInt; mt1, v : PDouble; LineWidthMT, LineWidthV : NativeInt; width, height : NativeInt; alpha, beta : double); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// rank1 update: A = A + alpha*X*Y' where x and y are vectors. It's assumed that y is sequential
procedure FMARank1UpdateSeq(A : PDouble; const LineWidthA : NativeInt; width, height : NativeInt;
X, Y : PDouble; incX, incY : NativeInt; alpha : double); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure FMARank1UpdateSeqAligned(A : PDouble; const LineWidthA : NativeInt; width, height : NativeInt;
X, Y : PDouble; incX, incY : NativeInt; alpha : double); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
{$ENDIF}
implementation
{$IFNDEF x64}
// routines with special input layouts: LineWidthV needs to be sizeof(double)
procedure FMAMatrixVectMultAlignedVAligned(dest : PDouble; destLineWidth : NativeInt; mt1, v : PDouble; LineWidthMT, LineWidthV : NativeInt; width, height : NativeInt; alpha, beta : double);
var aDestLineWidth : NativeInt;
asm
// prolog - simulate stack
push ebx;
push edi;
push esi;
mov aDestLineWidth, edx;
// for the final multiplication
lea ebx, alpha;
{$IFDEF AVXSUP}vmovsd xmm6, [ebx]; {$ELSE}db $C5,$FB,$10,$33;{$ENDIF}
lea ebx, beta;
{$IFDEF AVXSUP}vmovhpd xmm6, xmm6, [ebx]; {$ELSE}db $C5,$C9,$16,$33;{$ENDIF}
// prepare for loop
mov esi, LineWidthMT;
sub width, 4;
sub height, 4;
js @@foryloopend;
// we need at least a width of 4 for the fast unrolled loop
cmp width, 0;
jl @@foryloopend;
// init for x := 0 to width - 1:
@@foryloop:
// init values:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$57,$C9;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$57,$D2;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm3, ymm3, ymm3; {$ELSE}db $C5,$E5,$57,$DB;{$ENDIF} // res := 0;
push ecx; // ecx = first matrix element
mov ebx, v; // ebx = first vector element
mov edx, width; // edx = width
@@forxloop:
{$IFDEF AVXSUP}vmovapd ymm4, [ebx]; {$ELSE}db $C5,$FD,$28,$23;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm4, [ecx]; {$ELSE}db $C4,$E2,$DD,$B8,$01;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm1, ymm4, [ecx + esi]; {$ELSE}db $C4,$E2,$DD,$B8,$0C,$31;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm2, ymm4, [ecx + 2*esi]; {$ELSE}db $C4,$E2,$DD,$B8,$14,$71;{$ENDIF}
add ecx, esi;
{$IFDEF AVXSUP}vfmadd231pd ymm3, ymm4, [ecx + 2*esi]; {$ELSE}db $C4,$E2,$DD,$B8,$1C,$71;{$ENDIF}
sub ecx, esi;
add ecx, 32;
add ebx, 32;
sub edx, 4;
jge @@forxloop;
{$IFDEF AVXSUP}vextractf128 xmm4, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C4,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm4; {$ELSE}db $C5,$F9,$7C,$C4;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm5, ymm1, 1; {$ELSE}db $C4,$E3,$7D,$19,$CD,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm1, xmm1, xmm5; {$ELSE}db $C5,$F1,$7C,$CD;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm4, ymm2, 1; {$ELSE}db $C4,$E3,$7D,$19,$D4,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm4; {$ELSE}db $C5,$E9,$7C,$D4;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm5, ymm3, 1; {$ELSE}db $C4,$E3,$7D,$19,$DD,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm3, xmm3, xmm5; {$ELSE}db $C5,$E1,$7C,$DD;{$ENDIF}
// special treatment for the last value(s):
add edx, 4;
jz @@resbuild;
@@shortloopx:
{$IFDEF AVXSUP}vmovsd xmm4, [ebx]; {$ELSE}db $C5,$FB,$10,$23;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [ecx]; {$ELSE}db $C5,$FB,$10,$29;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm5; {$ELSE}db $C5,$FB,$58,$C5;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [ecx + esi]; {$ELSE}db $C5,$FB,$10,$2C,$31;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm1, xmm1, xmm5; {$ELSE}db $C5,$F3,$58,$CD;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [ecx + 2*esi]; {$ELSE}db $C5,$FB,$10,$2C,$71;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm2, xmm2, xmm5; {$ELSE}db $C5,$EB,$58,$D5;{$ENDIF}
add ecx, esi;
{$IFDEF AVXSUP}vmovsd xmm5, [ecx + 2*esi]; {$ELSE}db $C5,$FB,$10,$2C,$71;{$ENDIF}
sub ecx, esi;
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm3, xmm3, xmm5; {$ELSE}db $C5,$E3,$58,$DD;{$ENDIF}
add ecx, 8;
add ebx, 8;
sub edx, 1;
jnz @@shortloopx;
@@resbuild:
// result building
// write back result (final addition and compactation)
// calculate dest = beta*dest + alpha*xmm0
{$IFDEF AVXSUP}vmovsd xmm5, [eax]; {$ELSE}db $C5,$FB,$10,$28;{$ENDIF} // first element
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm5; {$ELSE}db $C5,$F9,$7C,$C5;{$ENDIF} // calculate xmm0_1 + xmm0_2 (store low) xmm5_1 + xmm5_2 (store high)
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // beta * dest + alpha*xmm0
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF} // final add
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF} // store back
add eax, adestLineWidth;
{$IFDEF AVXSUP}vmovsd xmm5, [eax]; {$ELSE}db $C5,$FB,$10,$28;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm1, xmm1, xmm5; {$ELSE}db $C5,$F1,$7C,$CD;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm1, xmm1, xmm6; {$ELSE}db $C5,$F1,$59,$CE;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$7C,$C9;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm1; {$ELSE}db $C5,$FB,$11,$08;{$ENDIF}
add eax, adestLineWidth;
{$IFDEF AVXSUP}vmovsd xmm5, [eax]; {$ELSE}db $C5,$FB,$10,$28;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm5; {$ELSE}db $C5,$E9,$7C,$D5;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm2, xmm2, xmm6; {$ELSE}db $C5,$E9,$59,$D6;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm2; {$ELSE}db $C5,$E9,$7C,$D2;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm2; {$ELSE}db $C5,$FB,$11,$10;{$ENDIF}
add eax, adestLineWidth;
{$IFDEF AVXSUP}vmovsd xmm5, [eax]; {$ELSE}db $C5,$FB,$10,$28;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm3, xmm3, xmm5; {$ELSE}db $C5,$E1,$7C,$DD;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm6; {$ELSE}db $C5,$E1,$59,$DE;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm3, xmm3, xmm3; {$ELSE}db $C5,$E1,$7C,$DB;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm3; {$ELSE}db $C5,$FB,$11,$18;{$ENDIF}
add eax, adestLineWidth;
pop ecx;
lea ecx, [ecx + 4*esi];
// next rseult
sub height, 4;
jge @@foryloop;
// ###########################################
// #### Remaining rows (max 4 or more if width is <4):
@@foryloopend:
add height, 4;
jz @@vecend;
@@foryshortloop:
// init values:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF}
push ecx; // ecx = first matrix element
mov ebx, v; // ebx = first vector element
mov edx, width; // r10 = width - 4
cmp edx, 0;
jl @@shortloopend;
@@forxshortloop:
{$IFDEF AVXSUP}vmovapd ymm4, [ebx]; {$ELSE}db $C5,$FD,$28,$23;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm4, [ecx]; {$ELSE}db $C4,$E2,$DD,$B8,$01;{$ENDIF}
add ecx, 32;
add ebx, 32;
sub edx, 4;
jge @@forxshortloop;
{$IFDEF AVXSUP}vextractf128 xmm4, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C4,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm4; {$ELSE}db $C5,$F9,$7C,$C4;{$ENDIF}
@@shortloopend:
add edx, 4;
// test if there are elements left
jz @@resbuildshort;
@@forxshortestloop:
{$IFDEF AVXSUP}vmovsd xmm4, [ebx]; {$ELSE}db $C5,$FB,$10,$23;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [ecx]; {$ELSE}db $C5,$FB,$10,$29;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm5; {$ELSE}db $C5,$FB,$58,$C5;{$ENDIF}
add ecx, 8;
add ebx, 8;
dec edx;
jnz @@forxshortestloop;
@@resbuildshort:
// build result
// calculate dest = beta*dest + alpha*xmm0
{$IFDEF AVXSUP}vmovsd xmm5, [eax]; {$ELSE}db $C5,$FB,$10,$28;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm5; {$ELSE}db $C5,$F9,$7C,$C5;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
add eax, adestLineWidth;
pop ecx;
add ecx, esi;
dec height;
jnz @@foryshortloop;
@@vecend:
// epilog pop "stack"
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop esi;
pop edi;
pop ebx;
end;
procedure FMAMatrixVectMultUnAlignedVAligned(dest : PDouble; destLineWidth : NativeInt; mt1, v : PDouble; LineWidthMT, LineWidthV : NativeInt; width, height : NativeInt; alpha, beta : double);
var aDestLineWidth : NativeInt;
asm
// prolog - simulate stack
push ebx;
push edi;
push esi;
mov aDestLineWidth, edx;
// for the final multiplication
lea ebx, alpha;
{$IFDEF AVXSUP}vmovsd xmm6, [ebx]; {$ELSE}db $C5,$FB,$10,$33;{$ENDIF}
lea ebx, beta;
{$IFDEF AVXSUP}vmovhpd xmm6, xmm6, [ebx]; {$ELSE}db $C5,$C9,$16,$33;{$ENDIF}
// prepare for loop
mov esi, LineWidthMT;
sub width, 4;
sub height, 4;
js @@foryloopend;
// we need at least a width of 4 for the fast unrolled loop
cmp width, 0;
jl @@foryloopend;
// init for x := 0 to width - 1:
@@foryloop:
// init values:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$57,$C9;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$57,$D2;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm3, ymm3, ymm3; {$ELSE}db $C5,$E5,$57,$DB;{$ENDIF} // res := 0;
push ecx; // ecx = first matrix element
mov ebx, v; // ebx = first vector element
mov edx, width; // edx = width
@@forxloop:
{$IFDEF AVXSUP}vmovupd ymm4, [ebx]; {$ELSE}db $C5,$FD,$10,$23;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm5, [ecx]; {$ELSE}db $C5,$FD,$10,$29;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm4, ymm5; {$ELSE}db $C4,$E2,$DD,$B8,$C5;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm5, [ecx + esi]; {$ELSE}db $C5,$FD,$10,$2C,$31;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm1, ymm4, ymm5; {$ELSE}db $C4,$E2,$DD,$B8,$CD;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm5, [ecx + 2*esi]; {$ELSE}db $C5,$FD,$10,$2C,$71;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm2, ymm4, ymm5; {$ELSE}db $C4,$E2,$DD,$B8,$D5;{$ENDIF}
add ecx, esi;
{$IFDEF AVXSUP}vmovupd ymm5, [ecx + 2*esi]; {$ELSE}db $C5,$FD,$10,$2C,$71;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm3, ymm4, ymm5; {$ELSE}db $C4,$E2,$DD,$B8,$DD;{$ENDIF}
sub ecx, esi;
add ecx, 32;
add ebx, 32;
sub edx, 4;
jge @@forxloop;
{$IFDEF AVXSUP}vextractf128 xmm4, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C4,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm4; {$ELSE}db $C5,$F9,$7C,$C4;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm5, ymm1, 1; {$ELSE}db $C4,$E3,$7D,$19,$CD,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm1, xmm1, xmm5; {$ELSE}db $C5,$F1,$7C,$CD;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm4, ymm2, 1; {$ELSE}db $C4,$E3,$7D,$19,$D4,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm4; {$ELSE}db $C5,$E9,$7C,$D4;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm5, ymm3, 1; {$ELSE}db $C4,$E3,$7D,$19,$DD,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm3, xmm3, xmm5; {$ELSE}db $C5,$E1,$7C,$DD;{$ENDIF}
// special treatment for the last value(s):
add edx, 4;
jz @@resbuild;
@@shortloopx:
{$IFDEF AVXSUP}vmovsd xmm4, [ebx]; {$ELSE}db $C5,$FB,$10,$23;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [ecx]; {$ELSE}db $C5,$FB,$10,$29;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm5; {$ELSE}db $C5,$FB,$58,$C5;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [ecx + esi]; {$ELSE}db $C5,$FB,$10,$2C,$31;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm1, xmm1, xmm5; {$ELSE}db $C5,$F3,$58,$CD;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [ecx + 2*esi]; {$ELSE}db $C5,$FB,$10,$2C,$71;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm2, xmm2, xmm5; {$ELSE}db $C5,$EB,$58,$D5;{$ENDIF}
add ecx, esi;
{$IFDEF AVXSUP}vmovsd xmm5, [ecx + 2*esi]; {$ELSE}db $C5,$FB,$10,$2C,$71;{$ENDIF}
sub ecx, esi;
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm3, xmm3, xmm5; {$ELSE}db $C5,$E3,$58,$DD;{$ENDIF}
add ecx, 8;
add ebx, 8;
sub edx, 1;
jnz @@shortloopx;
@@resbuild:
// result building
// write back result (final addition and compactation)
// calculate dest = beta*dest + alpha*xmm0
{$IFDEF AVXSUP}vmovsd xmm5, [eax]; {$ELSE}db $C5,$FB,$10,$28;{$ENDIF} // first element
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm5; {$ELSE}db $C5,$F9,$7C,$C5;{$ENDIF} // calculate xmm0_1 + xmm0_2 (store low) xmm5_1 + xmm5_2 (store high)
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // beta * dest + alpha*xmm0
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF} // final add
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF} // store back
add eax, adestLineWidth;
{$IFDEF AVXSUP}vmovsd xmm5, [eax]; {$ELSE}db $C5,$FB,$10,$28;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm1, xmm1, xmm5; {$ELSE}db $C5,$F1,$7C,$CD;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm1, xmm1, xmm6; {$ELSE}db $C5,$F1,$59,$CE;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$7C,$C9;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm1; {$ELSE}db $C5,$FB,$11,$08;{$ENDIF}
add eax, adestLineWidth;
{$IFDEF AVXSUP}vmovsd xmm5, [eax]; {$ELSE}db $C5,$FB,$10,$28;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm5; {$ELSE}db $C5,$E9,$7C,$D5;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm2, xmm2, xmm6; {$ELSE}db $C5,$E9,$59,$D6;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm2; {$ELSE}db $C5,$E9,$7C,$D2;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm2; {$ELSE}db $C5,$FB,$11,$10;{$ENDIF}
add eax, adestLineWidth;
{$IFDEF AVXSUP}vmovsd xmm5, [eax]; {$ELSE}db $C5,$FB,$10,$28;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm3, xmm3, xmm5; {$ELSE}db $C5,$E1,$7C,$DD;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm6; {$ELSE}db $C5,$E1,$59,$DE;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm3, xmm3, xmm3; {$ELSE}db $C5,$E1,$7C,$DB;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm3; {$ELSE}db $C5,$FB,$11,$18;{$ENDIF}
add eax, adestLineWidth;
pop ecx;
lea ecx, [ecx + 4*esi];
// next rseult
sub height, 4;
jge @@foryloop;
// ###########################################
// #### Remaining rows (max 4 or more if width is <4):
@@foryloopend:
add height, 4;
jz @@vecend;
@@foryshortloop:
// init values:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF}
push ecx; // ecx = first matrix element
mov ebx, v; // ebx = first vector element
mov edx, width; // r10 = width - 4
cmp edx, 0;
jl @@shortloopend;
@@forxshortloop:
{$IFDEF AVXSUP}vmovupd ymm4, [ebx]; {$ELSE}db $C5,$FD,$10,$23;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm5, [ecx]; {$ELSE}db $C5,$FD,$10,$29;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm4, ymm5; {$ELSE}db $C4,$E2,$DD,$B8,$C5;{$ENDIF}
add ecx, 32;
add ebx, 32;
sub edx, 4;
jge @@forxshortloop;
{$IFDEF AVXSUP}vextractf128 xmm4, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C4,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm4; {$ELSE}db $C5,$F9,$7C,$C4;{$ENDIF}
@@shortloopend:
add edx, 4;
// test if there are elements left
jz @@resbuildshort;
@@forxshortestloop:
{$IFDEF AVXSUP}vmovsd xmm4, [ebx]; {$ELSE}db $C5,$FB,$10,$23;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [ecx]; {$ELSE}db $C5,$FB,$10,$29;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm5; {$ELSE}db $C5,$FB,$58,$C5;{$ENDIF}
add ecx, 8;
add ebx, 8;
dec edx;
jnz @@forxshortestloop;
@@resbuildshort:
// build result
// calculate dest = beta*dest + alpha*xmm0
{$IFDEF AVXSUP}vmovsd xmm5, [eax]; {$ELSE}db $C5,$FB,$10,$28;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm5; {$ELSE}db $C5,$F9,$7C,$C5;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
add eax, adestLineWidth;
pop ecx;
add ecx, esi;
dec height;
jnz @@foryshortloop;
@@vecend:
// epilog pop "stack"
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop esi;
pop edi;
pop ebx;
end;
// this function is not that well suited for use of simd instructions...
// so only this version exists
procedure FMAMatrixVectMultT(dest : PDouble; destLineWidth : NativeInt; mt1, v : PDouble; LineWidthMT, LineWidthV : NativeInt; width, height : NativeInt; alpha, beta : double);
// var dymm8, dymm9, dymm10, dymm11 : TYMMArr;
var aDestLineWidth : NativeInt;
aMt1 : PDouble;
asm
// prolog - simulate stack
push ebx;
push edi;
push esi;
mov aDestLineWidth, edx;
mov aMt1, ecx;
// reserve memory on the stack for dymm8 to dymm11
sub esp, 128;
// for the final multiplication
lea edi, alpha;
{$IFDEF AVXSUP}vbroadcastsd ymm6, [edi]; {$ELSE}db $C4,$E2,$7D,$19,$37;{$ENDIF}
lea edi, beta;
{$IFDEF AVXSUP}vbroadcastsd ymm7, [edi]; {$ELSE}db $C4,$E2,$7D,$19,$3F;{$ENDIF}
// prepare for loop
mov esi, LineWidthMT;
mov edi, LineWidthV;
sub width, 16;
js @@forxloopend;
// init for x := 0 to width - 1:
@@forxloop:
// init values:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [esp + 00], ymm0; {$ELSE}db $C5,$FD,$11,$04,$24;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [esp + 32], ymm0; {$ELSE}db $C5,$FD,$11,$44,$24,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [esp + 64], ymm0; {$ELSE}db $C5,$FD,$11,$44,$24,$40;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [esp + 96], ymm0; {$ELSE}db $C5,$FD,$11,$44,$24,$60;{$ENDIF}
mov ecx, aMt1; // ecx = first matrix element
mov ebx, V; // ebx = first vector element
mov edx, height;
@@foryloop:
{$IFDEF AVXSUP}vbroadcastsd ymm3, [ebx]; {$ELSE}db $C4,$E2,$7D,$19,$1B;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm0, [esp + 00]; {$ELSE}db $C5,$FD,$10,$04,$24;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [ecx]; {$ELSE}db $C5,$FD,$10,$21;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm3, ymm4; {$ELSE}db $C4,$E2,$E5,$B8,$C4;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [esp + 00], ymm0; {$ELSE}db $C5,$FD,$11,$04,$24;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm1, [esp + 32]; {$ELSE}db $C5,$FD,$10,$4C,$24,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [ecx + 32]; {$ELSE}db $C5,$FD,$10,$61,$20;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm1, ymm3, ymm4; {$ELSE}db $C4,$E2,$E5,$B8,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [esp + 32], ymm1; {$ELSE}db $C5,$FD,$11,$4C,$24,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm0, [esp + 64]; {$ELSE}db $C5,$FD,$10,$44,$24,$40;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [ecx + 64]; {$ELSE}db $C5,$FD,$10,$61,$40;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm3, ymm4; {$ELSE}db $C4,$E2,$E5,$B8,$C4;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [esp + 64], ymm0; {$ELSE}db $C5,$FD,$11,$44,$24,$40;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm1, [esp + 96]; {$ELSE}db $C5,$FD,$10,$4C,$24,$60;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [ecx + 96]; {$ELSE}db $C5,$FD,$10,$61,$60;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm1, ymm3, ymm4; {$ELSE}db $C4,$E2,$E5,$B8,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [esp + 96], ymm1; {$ELSE}db $C5,$FD,$11,$4C,$24,$60;{$ENDIF}
add ecx, esi;
add ebx, edi;
dec edx;
jnz @@foryloop;
// result building
// write back result (final addition and compactation)
// calculate dest = beta*dest + alpha*xmm0
// first two
mov edx, adestLineWidth;
{$IFDEF AVXSUP}vmovsd xmm3, [eax]; {$ELSE}db $C5,$FB,$10,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [eax + edx]; {$ELSE}db $C5,$FB,$10,$24,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
{$IFDEF AVXSUP}vmovupd xmm0, [esp + 00]; {$ELSE}db $C5,$F9,$10,$04,$24;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovhlps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$12,$E3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm3; {$ELSE}db $C5,$FB,$11,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax + edx], xmm4; {$ELSE}db $C5,$FB,$11,$24,$10;{$ENDIF}
add eax, edx;
add eax, edx;
// second two
{$IFDEF AVXSUP}vmovsd xmm3, [eax]; {$ELSE}db $C5,$FB,$10,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [eax + edx]; {$ELSE}db $C5,$FB,$10,$24,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
//movupd xmm0, res1;
{$IFDEF AVXSUP}vmovupd xmm0, [esp + 16]; {$ELSE}db $C5,$F9,$10,$44,$24,$10;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovhlps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$12,$E3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm3; {$ELSE}db $C5,$FB,$11,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax + edx], xmm4; {$ELSE}db $C5,$FB,$11,$24,$10;{$ENDIF}
add eax, edx;
add eax, edx;
// third two
{$IFDEF AVXSUP}vmovsd xmm3, [eax]; {$ELSE}db $C5,$FB,$10,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [eax + edx]; {$ELSE}db $C5,$FB,$10,$24,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
{$IFDEF AVXSUP}vmovupd xmm0, [esp + 32]; {$ELSE}db $C5,$F9,$10,$44,$24,$20;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovhlps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$12,$E3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm3; {$ELSE}db $C5,$FB,$11,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax + edx], xmm4; {$ELSE}db $C5,$FB,$11,$24,$10;{$ENDIF}
add eax, edx;
add eax, edx;
// forth two
{$IFDEF AVXSUP}vmovsd xmm3, [eax]; {$ELSE}db $C5,$FB,$10,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [eax + edx]; {$ELSE}db $C5,$FB,$10,$24,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
//movupd xmm0, res3;
{$IFDEF AVXSUP}vmovupd xmm0, [esp + 48]; {$ELSE}db $C5,$F9,$10,$44,$24,$30;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovhlps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$12,$E3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm3; {$ELSE}db $C5,$FB,$11,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax + edx], xmm4; {$ELSE}db $C5,$FB,$11,$24,$10;{$ENDIF}
add eax, edx;
add eax, edx;
// fith two
{$IFDEF AVXSUP}vmovsd xmm3, [eax]; {$ELSE}db $C5,$FB,$10,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [eax + edx]; {$ELSE}db $C5,$FB,$10,$24,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
{$IFDEF AVXSUP}vmovupd xmm0, [esp + 64]; {$ELSE}db $C5,$F9,$10,$44,$24,$40;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovhlps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$12,$E3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm3; {$ELSE}db $C5,$FB,$11,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax + edx], xmm4; {$ELSE}db $C5,$FB,$11,$24,$10;{$ENDIF}
add eax, edx;
add eax, edx;
// sixth two
{$IFDEF AVXSUP}vmovsd xmm3, [eax]; {$ELSE}db $C5,$FB,$10,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [eax + edx]; {$ELSE}db $C5,$FB,$10,$24,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
//movupd xmm0, res5;
{$IFDEF AVXSUP}vmovupd xmm0, [esp + 80]; {$ELSE}db $C5,$F9,$10,$44,$24,$50;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovhlps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$12,$E3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm3; {$ELSE}db $C5,$FB,$11,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax + edx], xmm4; {$ELSE}db $C5,$FB,$11,$24,$10;{$ENDIF}
add eax, edx;
add eax, edx;
// seventh two
{$IFDEF AVXSUP}vmovsd xmm3, [eax]; {$ELSE}db $C5,$FB,$10,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [eax + edx]; {$ELSE}db $C5,$FB,$10,$24,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
{$IFDEF AVXSUP}vmovupd xmm0, [esp + 96]; {$ELSE}db $C5,$F9,$10,$44,$24,$60;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovhlps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$12,$E3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm3; {$ELSE}db $C5,$FB,$11,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax + edx], xmm4; {$ELSE}db $C5,$FB,$11,$24,$10;{$ENDIF}
add eax, edx;
add eax, edx;
// eighth two
{$IFDEF AVXSUP}vmovsd xmm3, [eax]; {$ELSE}db $C5,$FB,$10,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [eax + edx]; {$ELSE}db $C5,$FB,$10,$24,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
//movupd xmm0, res7;
{$IFDEF AVXSUP}vmovupd xmm0, [esp + 112]; {$ELSE}db $C5,$F9,$10,$44,$24,$70;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovhlps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$12,$E3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm3; {$ELSE}db $C5,$FB,$11,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax + edx], xmm4; {$ELSE}db $C5,$FB,$11,$24,$10;{$ENDIF}
add eax, edx;
add eax, edx;
// next results:
mov ecx, amt1;
add ecx, 8*16; // next mt1 element
mov amt1, ecx;
sub width, 16;
jns @@forxloop;
@@forxloopend:
// ###########################################
// elements that not fit into mod 16
add width, 16;
jz @@vecaddend;
@@forxshortloop:
{$IFDEF AVXSUP}vxorpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$57,$C0;{$ENDIF} // first two elements
mov ecx, amt1; // ecx = first matrix element
mov ebx, v; // ebx = first vector element
mov edx, height;
@@forshortyloop:
{$IFDEF AVXSUP}vmovsd xmm1, [ecx]; {$ELSE}db $C5,$FB,$10,$09;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm2, [ebx]; {$ELSE}db $C5,$FB,$10,$13;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm1, xmm1, xmm2; {$ELSE}db $C5,$F3,$59,$CA;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm1; {$ELSE}db $C5,$FB,$58,$C1;{$ENDIF}
add ecx, esi;
add ebx, edi;
dec edx;
jnz @@forshortyloop;
{$IFDEF AVXSUP}vmulsd xmm0, xmm0, xmm6; {$ELSE}db $C5,$FB,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmovsd xmm3, [eax]; {$ELSE}db $C5,$FB,$10,$18;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E3,$59,$DF;{$ENDIF} //dest*beta
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
// next row
add eax, adestLineWidth;
mov ecx, amt1;
add ecx, 8;
mov amt1, ecx;
dec width;
jnz @@forxshortloop;
@@vecaddend:
// epilog pop "stack"
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
// free reserved stack space
add esp, 128;
pop esi;
pop edi;
pop ebx;
end;
procedure FMAMatrixVecMultTDestVec(dest : PDouble; destLineWidth : NativeInt; mt1, v : PDouble; LineWidthMT, LineWidthV : NativeInt; width, height : NativeInt; alpha, beta : double);
var aDestLineWidth : NativeInt;
aMt1 : PDouble;
asm
// prolog - simulate stack
push ebx;
push edi;
push esi;
mov aDestLineWidth, edx;
mov aMt1, ecx;
// simulate local vars dymm8 - dymm11
sub esp, $10 + 128; // 4*sizeof ymm register
// for the final multiplication
lea esi, alpha;
{$IFDEF AVXSUP}vbroadcastsd ymm6, [esi]; {$ELSE}db $C4,$E2,$7D,$19,$36;{$ENDIF}
lea edi, beta;
{$IFDEF AVXSUP}vbroadcastsd ymm7, [edi]; {$ELSE}db $C4,$E2,$7D,$19,$3F;{$ENDIF}
// prepare for loop
mov esi, LineWidthMT;
mov edi, LineWidthV;
sub width, 16;
js @@forxloopend;
// init for x := 0 to width - 1:
@@forxloop:
// init values:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [esp + 00], ymm0; {$ELSE}db $C5,$FD,$11,$04,$24;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [esp + 32], ymm0; {$ELSE}db $C5,$FD,$11,$44,$24,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [esp + 64], ymm0; {$ELSE}db $C5,$FD,$11,$44,$24,$40;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [esp + 96], ymm0; {$ELSE}db $C5,$FD,$11,$44,$24,$60;{$ENDIF}
mov ecx, aMt1; // ecx = first matrix element
mov ebx, v; // ebx = first vector element
mov edx, height;
@@foryloop:
{$IFDEF AVXSUP}vbroadcastsd ymm3, [ebx]; {$ELSE}db $C4,$E2,$7D,$19,$1B;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm0, [esp + 00]; {$ELSE}db $C5,$FD,$10,$04,$24;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [ecx]; {$ELSE}db $C5,$FD,$10,$21;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm3, ymm4; {$ELSE}db $C4,$E2,$E5,$B8,$C4;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [esp + 00], ymm0; {$ELSE}db $C5,$FD,$11,$04,$24;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm1, [esp + 32]; {$ELSE}db $C5,$FD,$10,$4C,$24,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [ecx + 32]; {$ELSE}db $C5,$FD,$10,$61,$20;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm1, ymm3, ymm4; {$ELSE}db $C4,$E2,$E5,$B8,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [esp + 32], ymm1; {$ELSE}db $C5,$FD,$11,$4C,$24,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm0, [esp + 64]; {$ELSE}db $C5,$FD,$10,$44,$24,$40;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [ecx + 64]; {$ELSE}db $C5,$FD,$10,$61,$40;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm3, ymm4; {$ELSE}db $C4,$E2,$E5,$B8,$C4;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [esp + 64], ymm0; {$ELSE}db $C5,$FD,$11,$44,$24,$40;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm1, [esp + 96]; {$ELSE}db $C5,$FD,$10,$4C,$24,$60;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [ecx + 96]; {$ELSE}db $C5,$FD,$10,$61,$60;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm1, ymm3, ymm4; {$ELSE}db $C4,$E2,$E5,$B8,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [esp + 96], ymm1; {$ELSE}db $C5,$FD,$11,$4C,$24,$60;{$ENDIF}
add ecx, esi;
add ebx, edi;
dec edx;
jnz @@foryloop;
// result building
// write back result (final addition and compactation)
// calculate dest = beta*dest + alpha*xmm0
// first 4
{$IFDEF AVXSUP}vmovupd ymm3, [eax]; {$ELSE}db $C5,$FD,$10,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm0, [esp + 00]; {$ELSE}db $C5,$FD,$10,$04,$24;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm0, ymm0, ymm6; {$ELSE}db $C5,$FD,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm7; {$ELSE}db $C5,$E5,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd ymm3, ymm3, ymm0; {$ELSE}db $C5,$E5,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [eax], ymm3; {$ELSE}db $C5,$FD,$11,$18;{$ENDIF}
add eax, 32;
// second 4
{$IFDEF AVXSUP}vmovupd ymm3, [eax]; {$ELSE}db $C5,$FD,$10,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm0, [esp + 32]; {$ELSE}db $C5,$FD,$10,$44,$24,$20;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm0, ymm0, ymm6; {$ELSE}db $C5,$FD,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm7; {$ELSE}db $C5,$E5,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd ymm3, ymm3, ymm0; {$ELSE}db $C5,$E5,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [eax], ymm3; {$ELSE}db $C5,$FD,$11,$18;{$ENDIF}
add eax, 32;
// third 4
{$IFDEF AVXSUP}vmovupd ymm3, [eax]; {$ELSE}db $C5,$FD,$10,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm0, [esp + 64]; {$ELSE}db $C5,$FD,$10,$44,$24,$40;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm0, ymm0, ymm6; {$ELSE}db $C5,$FD,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm7; {$ELSE}db $C5,$E5,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd ymm3, ymm3, ymm0; {$ELSE}db $C5,$E5,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [eax], ymm3; {$ELSE}db $C5,$FD,$11,$18;{$ENDIF}
add eax, 32;
// forth 4
{$IFDEF AVXSUP}vmovupd ymm3, [eax]; {$ELSE}db $C5,$FD,$10,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm0, [esp + 96]; {$ELSE}db $C5,$FD,$10,$44,$24,$60;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm0, ymm0, ymm6; {$ELSE}db $C5,$FD,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm7; {$ELSE}db $C5,$E5,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd ymm3, ymm3, ymm0; {$ELSE}db $C5,$E5,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [eax], ymm3; {$ELSE}db $C5,$FD,$11,$18;{$ENDIF}
add eax, 32;
// next results:
mov ecx, aMt1;
add ecx, 8*16; // next mt1 element
mov aMt1, ecx;
sub width, 16;
jns @@forxloop;
@@forxloopend:
// ###########################################
// elements that not fit into mod 16
add width, 16;
jz @@vecaddend;
@@forxshortloop:
{$IFDEF AVXSUP}vxorpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$57,$C0;{$ENDIF} // first two elements
mov ecx, aMt1; // ecx = first matrix element
mov ebx, v; // ebx = first vector element
mov edx, height;
@@forshortyloop:
{$IFDEF AVXSUP}vmovsd xmm1, [ecx]; {$ELSE}db $C5,$FB,$10,$09;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm2, [ebx]; {$ELSE}db $C5,$FB,$10,$13;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm1, xmm1, xmm2; {$ELSE}db $C5,$F3,$59,$CA;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm1; {$ELSE}db $C5,$FB,$58,$C1;{$ENDIF}
add ecx, esi;
add ebx, edi;
dec edx;
jnz @@forshortyloop;
{$IFDEF AVXSUP}vmulsd xmm0, xmm0, xmm6; {$ELSE}db $C5,$FB,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmovsd xmm3, [eax]; {$ELSE}db $C5,$FB,$10,$18;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E3,$59,$DF;{$ENDIF} //dest*beta
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
// next column
add eax, 8;
mov ecx, amt1;
add ecx, 8;
mov amt1, ecx;
dec Width;
jnz @@forxshortloop;
@@vecaddend:
// epilog pop "stack"
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
// undo local mem
add esp, $10 + 128;
pop esi;
pop edi;
pop ebx;
end;
procedure FMARank1UpdateSeq(A : PDouble; const LineWidthA : NativeInt; width, height : NativeInt;
X, Y : PDouble; incX, incY : NativeInt; alpha : double);
var aLineWidthA : NativeInt;
aWidth : NativeInt;
asm
// prolog - simulate stack
push ebx;
push edi;
push esi;
mov aLineWidthA, edx;
mov aWidth, ecx;
// performs A = A + alpha*X*Y' in row major form
mov edi, X;
// for the temp calculation
lea esi, alpha;
{$IFDEF AVXSUP}vbroadcastsd ymm3, [esi]; {$ELSE}db $C4,$E2,$7D,$19,$1E;{$ENDIF}
// prepare for loop
mov esi, incx;
// init for y := 0 to height - 1:
@@foryloop:
// init values:
{$IFDEF AVXSUP}vbroadcastsd ymm0, [edi]; {$ELSE}db $C4,$E2,$7D,$19,$07;{$ENDIF} // res := 0;
{$IFDEF AVXSUP}vmulpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$59,$C3;{$ENDIF} // tmp := alpha*pX^
mov ecx, eax; // ecx = first destination element A
mov ebx, Y; // ebx = first y vector element
// for j := 0 to width - 1 do
mov edx, aWidth;
sub edx, 4;
jl @@last3Elem;
@@forxloop:
{$IFDEF AVXSUP}vmovupd ymm1, [ecx]; {$ELSE}db $C5,$FD,$10,$09;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm2, [ebx]; {$ELSE}db $C5,$FD,$10,$13;{$ENDIF}
// pA^[j] := pA^[j] + tmp*pY1^[j];
{$IFDEF AVXSUP}vfmadd231pd ymm1, ymm2, ymm0; {$ELSE}db $C4,$E2,$ED,$B8,$C8;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [ecx], ymm1; {$ELSE}db $C5,$FD,$11,$09;{$ENDIF}
add ecx, 32;
add ebx, 32;
sub edx, 4;
jge @@forxloop;
@@last3Elem:
add edx, 4;
jz @@nextline;