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AVXMatrixMeanOperations.pas
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AVXMatrixMeanOperations.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 AVXMatrixMeanOperations;
interface
{$I 'mrMath_CPU.inc'}
{$IFNDEF x64}
procedure AVXMatrixMeanRowAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure AVXMatrixMeanRowUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure AVXMatrixMeanColumnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure AVXMatrixMeanColumnUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure AVXMatrixVarRowAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure AVXMatrixVarRowUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure AVXMatrixVarColumnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure AVXMatrixVarColumnUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// combined methods
procedure AVXMatrixMeanVarRowAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure AVXMatrixMeanVarRowUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure AVXMatrixMeanVarColumnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure AVXMatrixMeanVarColumnUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
{$ENDIF}
implementation
{$IFNDEF x64}
const cLocOne : double = 1;
procedure AVXMatrixMeanRowAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt);
asm
// prolog
push edi;
push esi;
push ebx;
// iters := -width*sizeof(double)
mov edi, width;
{$IFDEF AVXSUP}vcvtsi2sd xmm4, xmm4, edi; {$ELSE}db $C5,$DB,$2A,$E7;{$ENDIF}
imul edi, -8;
// helper registers for the mt1, mt2 and dest pointers
sub ecx, edi;
// for y := 0 to height - 1:
mov ebx, height;
@@addforyloop:
{$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;{$ENDIF}
// for x := 0 to w - 1;
// prepare for reverse loop
mov esi, edi;
@addforxloop:
add esi, 128;
jg @loopEnd;
// prefetch data...
// prefetch [r8 + esi];
// addition:
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, [ecx + esi - 128]; {$ELSE}db $C5,$FD,$58,$44,$31,$80;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, [ecx + esi - 96]; {$ELSE}db $C5,$F5,$58,$4C,$31,$A0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, [ecx + esi - 64]; {$ELSE}db $C5,$FD,$58,$44,$31,$C0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, [ecx + esi - 32]; {$ELSE}db $C5,$F5,$58,$4C,$31,$E0;{$ENDIF}
jmp @addforxloop
@loopEnd:
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm1; {$ELSE}db $C5,$FD,$58,$C1;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm2, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C2,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$7C,$C2;{$ENDIF}
sub esi, 128;
jz @buildRes;
@addforxloop2:
add esi, 16;
jg @@addforxloop2end;
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, [ecx + esi - 16]; {$ELSE}db $C5,$F9,$58,$44,$31,$F0;{$ENDIF}
jmp @addforxloop2;
@@addforxloop2end:
sub esi, 16;
jz @buildRes;
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, [ecx + esi]; {$ELSE}db $C5,$FB,$58,$04,$31;{$ENDIF}
@buildRes:
// build result
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
{$IFDEF AVXSUP}vdivsd xmm0, xmm0, xmm4; {$ELSE}db $C5,$FB,$5E,$C4;{$ENDIF}
// write result
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
// next line:
add ecx, srcLineWidth;
add eax, edx;
// loop y end
dec ebx;
jnz @@addforyloop;
// epilog
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop ebx;
pop esi;
pop edi;
end;
procedure AVXMatrixMeanRowUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt);
asm
// prolog
push edi;
push esi;
push ebx;
// iters := -width*sizeof(double)
mov edi, width;
{$IFDEF AVXSUP}vcvtsi2sd xmm4, xmm4, edi; {$ELSE}db $C5,$DB,$2A,$E7;{$ENDIF}
imul edi, -8;
// helper registers for the mt1, mt2 and dest pointers
sub ecx, edi;
// for y := 0 to height - 1:
mov ebx, height;
@@addforyloop:
{$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;{$ENDIF}
// for x := 0 to w - 1;
// prepare for reverse loop
mov esi, edi;
@addforxloop:
add esi, 128;
jg @loopEnd;
// prefetch data...
// prefetch [r8 + esi];
// addition:
{$IFDEF AVXSUP}vmovupd ymm2, [ecx + esi - 128]; {$ELSE}db $C5,$FD,$10,$54,$31,$80;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm3, [ecx + esi - 96]; {$ELSE}db $C5,$FD,$10,$5C,$31,$A0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm2; {$ELSE}db $C5,$FD,$58,$C2;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm3; {$ELSE}db $C5,$F5,$58,$CB;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm2, [ecx + esi - 64]; {$ELSE}db $C5,$FD,$10,$54,$31,$C0;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm3, [ecx + esi - 32]; {$ELSE}db $C5,$FD,$10,$5C,$31,$E0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm2; {$ELSE}db $C5,$FD,$58,$C2;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm3; {$ELSE}db $C5,$F5,$58,$CB;{$ENDIF}
jmp @addforxloop
@loopEnd:
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm1; {$ELSE}db $C5,$FD,$58,$C1;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm2, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C2,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$7C,$C2;{$ENDIF}
sub esi, 128;
jz @buildRes;
@addforxloop2:
add esi, 16;
jg @@addforxloop2end;
{$IFDEF AVXSUP}vmovupd xmm1, [ecx + esi - 16]; {$ELSE}db $C5,$F9,$10,$4C,$31,$F0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$58,$C1;{$ENDIF}
jmp @addforxloop2;
@@addforxloop2end:
sub esi, 16;
jz @buildRes;
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, [ecx + esi]; {$ELSE}db $C5,$FB,$58,$04,$31;{$ENDIF}
@buildRes:
// build result
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
{$IFDEF AVXSUP}vdivsd xmm0, xmm0, xmm4; {$ELSE}db $C5,$FB,$5E,$C4;{$ENDIF}
// write result
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
// next line:
add ecx, srcLineWidth;
add eax, edx;
// loop y end
dec ebx;
jnz @@addforyloop;
// epilog
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop ebx;
pop esi;
pop edi;
end;
procedure AVXMatrixMeanColumnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt);
var tmp : double;
asm
// prolog
push ebx;
push edi;
push esi;
// prepare
mov ebx, height;
{$IFDEF AVXSUP}vcvtsi2sd xmm0, xmm0, ebx; {$ELSE}db $C5,$FB,$2A,$C3;{$ENDIF}
imul ebx, srcLineWidth;
imul ebx, -1;
// helper registers for the mt1, mt2 and dest pointers
sub ecx, ebx;
mov edi, srcLineWidth;
lea edx, tmp;
{$IFDEF AVXSUP}vmovsd [edx], xmm0; {$ELSE}db $C5,$FB,$11,$02;{$ENDIF}
{$IFDEF AVXSUP}vbroadcastsd ymm2, [edx]; {$ELSE}db $C4,$E2,$7D,$19,$12;{$ENDIF}
// vbroadcastsd ymm2, xmm0; // avx2
// for x := 0 to width - 1:
mov esi, Width;
sub esi, 4;
jl @@addforxloop4end;
// 4 columns at once
@@addforxloop4:
{$IFDEF AVXSUP}vxorpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$57,$C9;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov edx, ebx;
@addforyloop4:
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, [ecx + edx]; {$ELSE}db $C5,$F5,$58,$0C,$11;{$ENDIF}
add edx, edi;
jnz @addforyloop4;
// build result
{$IFDEF AVXSUP}vdivpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$5E,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovapd [eax], ymm1; {$ELSE}db $C5,$FD,$29,$08;{$ENDIF}
// next columns:
add eax, 32;
add ecx, 32;
// loop x end
sub esi, 4;
jge @@addforxloop4;
@@addforxloop4end:
add esi, 4;
jz @@endProc;
sub esi, 2;
jl @@lastcolumn;
{$IFDEF AVXSUP}vxorpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$57,$C9;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov edx, ebx;
@addforyloop2:
{$IFDEF AVXSUP}vaddpd xmm1, xmm1, [ecx + edx]; {$ELSE}db $C5,$F1,$58,$0C,$11;{$ENDIF}
add edx, edi;
jnz @addforyloop2;
// build result
{$IFDEF AVXSUP}vdivpd xmm1, xmm1, xmm2; {$ELSE}db $C5,$F1,$5E,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovapd [eax], xmm1; {$ELSE}db $C5,$F9,$29,$08;{$ENDIF}
// next columns:
add eax, 16;
add ecx, 16;
dec esi;
jnz @@endProc;
@@lastcolumn:
{$IFDEF AVXSUP}vxorpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$57,$C9;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov edx, ebx;
@addforyloop:
{$IFDEF AVXSUP}vaddsd xmm1, xmm1, [ecx + edx]; {$ELSE}db $C5,$F3,$58,$0C,$11;{$ENDIF}
add edx, edi;
jnz @addforyloop;
// build result
{$IFDEF AVXSUP}vdivsd xmm1, xmm1, xmm2; {$ELSE}db $C5,$F3,$5E,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm1; {$ELSE}db $C5,$FB,$11,$08;{$ENDIF}
@@endProc:
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
// epilog
pop esi;
pop edi;
pop ebx;
end;
procedure AVXMatrixMeanColumnUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt);
var tmp : double;
asm
// prolog
push ebx;
push edi;
push esi;
// prepare
mov ebx, height;
{$IFDEF AVXSUP}vcvtsi2sd xmm0, xmm0, ebx; {$ELSE}db $C5,$FB,$2A,$C3;{$ENDIF}
imul ebx, srcLineWidth;
imul ebx, -1;
// helper registers for the mt1, mt2 and dest pointers
sub ecx, ebx;
mov edi, srcLineWidth;
lea edx, tmp;
{$IFDEF AVXSUP}vmovsd [edx], xmm0; {$ELSE}db $C5,$FB,$11,$02;{$ENDIF}
{$IFDEF AVXSUP}vbroadcastsd ymm2, [edx]; {$ELSE}db $C4,$E2,$7D,$19,$12;{$ENDIF}
// vbroadcastsd ymm2, xmm0; // avx2
// for x := 0 to width - 1:
mov esi, Width;
sub esi, 4;
jl @@addforxloop4end;
// 4 columns at once
@@addforxloop4:
{$IFDEF AVXSUP}vxorpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$57,$C9;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov edx, ebx;
@addforyloop4:
{$IFDEF AVXSUP}vmovupd ymm0, [ecx + edx]; {$ELSE}db $C5,$FD,$10,$04,$11;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm0; {$ELSE}db $C5,$F5,$58,$C8;{$ENDIF}
add edx, edi;
jnz @addforyloop4;
// build result
{$IFDEF AVXSUP}vdivpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$5E,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovapd [eax], ymm1; {$ELSE}db $C5,$FD,$29,$08;{$ENDIF}
// next columns:
add eax, 32;
add ecx, 32;
// loop x end
sub esi, 4;
jge @@addforxloop4;
@@addforxloop4end:
add esi, 4;
jz @@endProc;
sub esi, 2;
jl @@lastcolumn;
{$IFDEF AVXSUP}vxorpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$57,$C9;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov edx, ebx;
@addforyloop2:
{$IFDEF AVXSUP}vmovupd xmm0, [ecx + edx]; {$ELSE}db $C5,$F9,$10,$04,$11;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm1, xmm1, xmm0; {$ELSE}db $C5,$F1,$58,$C8;{$ENDIF}
add edx, edi;
jnz @addforyloop2;
// build result
{$IFDEF AVXSUP}vdivpd xmm1, xmm1, xmm2; {$ELSE}db $C5,$F1,$5E,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovapd [eax], xmm1; {$ELSE}db $C5,$F9,$29,$08;{$ENDIF}
// next columns:
add eax, 16;
add ecx, 16;
dec esi;
jnz @@endProc;
@@lastcolumn:
{$IFDEF AVXSUP}vxorpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$57,$C9;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov edx, ebx;
@addforyloop:
{$IFDEF AVXSUP}vaddsd xmm1, xmm1, [ecx + edx]; {$ELSE}db $C5,$F3,$58,$0C,$11;{$ENDIF}
add edx, edi;
jnz @addforyloop;
// build result
{$IFDEF AVXSUP}vdivsd xmm1, xmm1, xmm2; {$ELSE}db $C5,$F3,$5E,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [eax], xmm1; {$ELSE}db $C5,$FB,$11,$08;{$ENDIF}
@@endProc:
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
// epilog
pop esi;
pop edi;
pop ebx;
end;
// ###########################################
// #### Variance calculation
// ###########################################
procedure AVXMatrixVarRowAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean);
var tmp : double;
aDestLineWidth : NativeInt;
asm
// prolog
push ebx;
push edi;
push esi;
// iters := -width*sizeof(double)
mov edi, width;
{$IFDEF AVXSUP}vcvtsi2sd xmm3, xmm3, edi; {$ELSE}db $C5,$E3,$2A,$DF;{$ENDIF}
imul edi, -8;
// helper registers for the src and dest pointers
sub ecx, edi;
// for y := 0 to height - 1:
@@addforyloop:
{$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;{$ENDIF}
// for x := 0 to w - 1;
// prepare for reverse loop
mov esi, edi;
@addforxloop:
add esi, 128;
jg @loopEnd;
// prefetch data...
// prefetch [r8 + esi];
// addition:
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, [ecx + esi - 128]; {$ELSE}db $C5,$FD,$58,$44,$31,$80;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, [ecx + esi - 96]; {$ELSE}db $C5,$F5,$58,$4C,$31,$A0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, [ecx + esi - 64]; {$ELSE}db $C5,$FD,$58,$44,$31,$C0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, [ecx + esi - 32]; {$ELSE}db $C5,$F5,$58,$4C,$31,$E0;{$ENDIF}
jmp @addforxloop
@loopEnd:
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm1; {$ELSE}db $C5,$FD,$58,$C1;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm2, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C2,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$7C,$C2;{$ENDIF}
sub esi, 128;
jz @buildRes;
@addforxloop2:
add esi, 16;
jg @@addforxloop2end;
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, [ecx + esi - 16]; {$ELSE}db $C5,$F9,$58,$44,$31,$F0;{$ENDIF}
jmp @addforxloop2;
@@addforxloop2end:
sub esi, 16;
jz @buildRes;
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, [ecx + esi]; {$ELSE}db $C5,$FB,$58,$04,$31;{$ENDIF}
@buildRes:
// build result
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
{$IFDEF AVXSUP}vdivsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$5E,$C3;{$ENDIF}
// we have calculated the mean ->
// repeat the loop to calculate the variance
lea esi, tmp;
{$IFDEF AVXSUP}vmovsd [esi], xmm0; {$ELSE}db $C5,$FB,$11,$06;{$ENDIF}
{$IFDEF AVXSUP}vbroadcastsd ymm4, [esi]; {$ELSE}db $C4,$E2,$7D,$19,$26;{$ENDIF}
// vbroadcastsd ymm4, xmm0; //avx2
{$IFDEF AVXSUP}vxorpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$57,$C0;{$ENDIF}
// for x := 0 to w - 1;
// prepare for reverse loop
// variance = sum (x - mean)^2
mov esi, edi;
@addforxloop3:
add esi, 128;
jg @loopEnd2;
// prefetch data...
// prefetch [eax + esi];
// addition:
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + esi - 128]; {$ELSE}db $C5,$FD,$28,$4C,$31,$80;{$ENDIF}
{$IFDEF AVXSUP}vsubpd ymm1, ymm1, ymm4; {$ELSE}db $C5,$F5,$5C,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$59,$C9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm1; {$ELSE}db $C5,$FD,$58,$C1;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + esi - 96]; {$ELSE}db $C5,$FD,$28,$4C,$31,$A0;{$ENDIF}
{$IFDEF AVXSUP}vsubpd ymm1, ymm1, ymm4; {$ELSE}db $C5,$F5,$5C,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$59,$C9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm1; {$ELSE}db $C5,$FD,$58,$C1;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + esi - 64]; {$ELSE}db $C5,$FD,$28,$4C,$31,$C0;{$ENDIF}
{$IFDEF AVXSUP}vsubpd ymm1, ymm1, ymm4; {$ELSE}db $C5,$F5,$5C,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$59,$C9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm1; {$ELSE}db $C5,$FD,$58,$C1;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + esi - 32]; {$ELSE}db $C5,$FD,$28,$4C,$31,$E0;{$ENDIF}
{$IFDEF AVXSUP}vsubpd ymm1, ymm1, ymm4; {$ELSE}db $C5,$F5,$5C,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$59,$C9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm1; {$ELSE}db $C5,$FD,$58,$C1;{$ENDIF}
jmp @addforxloop3
@loopEnd2:
sub esi, 128;
{$IFDEF AVXSUP}vextractf128 xmm2, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C2,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$7C,$C2;{$ENDIF}
jz @buildRes2;
@addforxloop4:
add esi, 16;
jg @addforxloop4end;
{$IFDEF AVXSUP}vmovapd xmm1, [ecx + esi - 16]; {$ELSE}db $C5,$F9,$28,$4C,$31,$F0;{$ENDIF}
{$IFDEF AVXSUP}vsubpd xmm1, xmm1, xmm4; {$ELSE}db $C5,$F1,$5C,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$59,$C9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$58,$C1;{$ENDIF}
jmp @addforxloop4;
@addforxloop4end:
sub esi, 16;
jz @buildRes2;
// last column
{$IFDEF AVXSUP}vmovsd xmm1, [ecx + esi]; {$ELSE}db $C5,$FB,$10,$0C,$31;{$ENDIF}
{$IFDEF AVXSUP}vsubsd xmm1, xmm1, xmm4; {$ELSE}db $C5,$F3,$5C,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F3,$59,$C9;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm1; {$ELSE}db $C5,$FB,$58,$C1;{$ENDIF}
@buildRes2:
// build result
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
// check if we need to use the unbiased version
cmp unbiased, 0;
jz @@dobiased;
lea esi, cLocOne;
{$IFDEF AVXSUP}vmovsd xmm2, [esi]; {$ELSE}db $C5,$FB,$10,$16;{$ENDIF}
{$IFDEF AVXSUP}vsubsd xmm4, xmm3, xmm2; {$ELSE}db $C5,$E3,$5C,$E2;{$ENDIF}
{$IFDEF AVXSUP}vmaxsd xmm4, xmm4, xmm2; {$ELSE}db $C5,$DB,$5F,$E2;{$ENDIF}
{$IFDEF AVXSUP}vdivsd xmm0, xmm0, xmm4; {$ELSE}db $C5,$FB,$5E,$C4;{$ENDIF}
jmp @@writeRes;
@@dobiased:
{$IFDEF AVXSUP}vdivsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$5E,$C3;{$ENDIF}
// write result
@@writeRes:
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
// next line:
add ecx, srcLineWidth;
add eax, edx;
// loop y end
dec Height;
jnz @@addforyloop;
// epilog
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop esi;
pop edi;
pop ebx;
end;
procedure AVXMatrixVarRowUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean);
var tmp : double;
asm
// prolog
push ebx;
push edi;
push esi;
// iters := -width*sizeof(double)
mov edi, width;
{$IFDEF AVXSUP}vcvtsi2sd xmm3, xmm3, edi; {$ELSE}db $C5,$E3,$2A,$DF;{$ENDIF}
imul edi, -8;
// helper registers for the src and dest pointers
sub ecx, edi;
// for y := 0 to height - 1:
@@addforyloop:
{$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;{$ENDIF}
// for x := 0 to w - 1;
// prepare for reverse loop
mov esi, edi;
@addforxloop:
add esi, 128;
jg @loopEnd;
// prefetch data...
// prefetch [r8 + esi];
// addition:
{$IFDEF AVXSUP}vmovupd ymm2, [ecx + esi - 128]; {$ELSE}db $C5,$FD,$10,$54,$31,$80;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm2; {$ELSE}db $C5,$FD,$58,$C2;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [ecx + esi - 96]; {$ELSE}db $C5,$FD,$10,$64,$31,$A0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm4; {$ELSE}db $C5,$F5,$58,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm2, [ecx + esi - 64]; {$ELSE}db $C5,$FD,$10,$54,$31,$C0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm2; {$ELSE}db $C5,$FD,$58,$C2;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [ecx + esi - 32]; {$ELSE}db $C5,$FD,$10,$64,$31,$E0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm4; {$ELSE}db $C5,$F5,$58,$CC;{$ENDIF}
jmp @addforxloop
@loopEnd:
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm1; {$ELSE}db $C5,$FD,$58,$C1;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm2, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C2,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$7C,$C2;{$ENDIF}
sub esi, 128;
jz @buildRes;
@addforxloop2:
add esi, 16;
jg @@addforxloop2end;
{$IFDEF AVXSUP}vmovupd xmm1, [ecx + esi - 16]; {$ELSE}db $C5,$F9,$10,$4C,$31,$F0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$58,$C1;{$ENDIF}
jmp @addforxloop2;
@@addforxloop2end:
sub esi, 16;
jz @buildRes;
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, [ecx + esi]; {$ELSE}db $C5,$FB,$58,$04,$31;{$ENDIF}
@buildRes:
// build result
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
{$IFDEF AVXSUP}vdivsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$5E,$C3;{$ENDIF}
// we have calculated the mean ->
// repeat the loop to calculate the variance
lea esi, tmp;
{$IFDEF AVXSUP}vmovsd [esi], xmm0; {$ELSE}db $C5,$FB,$11,$06;{$ENDIF}
{$IFDEF AVXSUP}vbroadcastsd ymm4, [esi]; {$ELSE}db $C4,$E2,$7D,$19,$26;{$ENDIF}
// vbroadcastsd ymm4, xmm0; // avx2 instruction
{$IFDEF AVXSUP}vxorpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$57,$C0;{$ENDIF}
// for x := 0 to w - 1;
// prepare for reverse loop
// variance = sum (x - mean)^2
mov esi, edi;
@addforxloop3:
add esi, 128;
jg @loopEnd2;
// prefetch data...
// prefetch [eax + esi];
// addition:
{$IFDEF AVXSUP}vmovupd ymm1, [ecx + esi - 128]; {$ELSE}db $C5,$FD,$10,$4C,$31,$80;{$ENDIF}
{$IFDEF AVXSUP}vsubpd ymm1, ymm1, ymm4; {$ELSE}db $C5,$F5,$5C,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$59,$C9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm1; {$ELSE}db $C5,$FD,$58,$C1;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm1, [ecx + esi - 96]; {$ELSE}db $C5,$FD,$10,$4C,$31,$A0;{$ENDIF}
{$IFDEF AVXSUP}vsubpd ymm1, ymm1, ymm4; {$ELSE}db $C5,$F5,$5C,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$59,$C9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm1; {$ELSE}db $C5,$FD,$58,$C1;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm1, [ecx + esi - 64]; {$ELSE}db $C5,$FD,$10,$4C,$31,$C0;{$ENDIF}
{$IFDEF AVXSUP}vsubpd ymm1, ymm1, ymm4; {$ELSE}db $C5,$F5,$5C,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$59,$C9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm1; {$ELSE}db $C5,$FD,$58,$C1;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm1, [ecx + esi - 32]; {$ELSE}db $C5,$FD,$10,$4C,$31,$E0;{$ENDIF}
{$IFDEF AVXSUP}vsubpd ymm1, ymm1, ymm4; {$ELSE}db $C5,$F5,$5C,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$59,$C9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm1; {$ELSE}db $C5,$FD,$58,$C1;{$ENDIF}
jmp @addforxloop3
@loopEnd2:
sub esi, 128;
{$IFDEF AVXSUP}vextractf128 xmm2, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C2,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$7C,$C2;{$ENDIF}
jz @buildRes2;
@addforxloop4:
add esi, 16;
jg @addforxloop4end;
{$IFDEF AVXSUP}vmovupd xmm1, [ecx + esi - 16]; {$ELSE}db $C5,$F9,$10,$4C,$31,$F0;{$ENDIF}
{$IFDEF AVXSUP}vsubpd xmm1, xmm1, xmm4; {$ELSE}db $C5,$F1,$5C,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$59,$C9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$58,$C1;{$ENDIF}
jmp @addforxloop4;
@addforxloop4end:
sub esi, 16;
jz @buildRes2;
// last column
{$IFDEF AVXSUP}vmovsd xmm1, [ecx + esi]; {$ELSE}db $C5,$FB,$10,$0C,$31;{$ENDIF}
{$IFDEF AVXSUP}vsubsd xmm1, xmm1, xmm4; {$ELSE}db $C5,$F3,$5C,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F3,$59,$C9;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm1; {$ELSE}db $C5,$FB,$58,$C1;{$ENDIF}
@buildRes2:
// build result
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
// check if we need to use the unbiased version
cmp unbiased, 0;
jz @@dobiased;
lea esi, cLocOne;
{$IFDEF AVXSUP}vmovsd xmm2, [esi]; {$ELSE}db $C5,$FB,$10,$16;{$ENDIF}
{$IFDEF AVXSUP}vsubsd xmm4, xmm3, xmm2; {$ELSE}db $C5,$E3,$5C,$E2;{$ENDIF}
{$IFDEF AVXSUP}vmaxsd xmm4, xmm4, xmm2; {$ELSE}db $C5,$DB,$5F,$E2;{$ENDIF}
{$IFDEF AVXSUP}vdivsd xmm0, xmm0, xmm4; {$ELSE}db $C5,$FB,$5E,$C4;{$ENDIF}
jmp @@writeRes;
@@dobiased:
{$IFDEF AVXSUP}vdivsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$5E,$C3;{$ENDIF}
// write result
@@writeRes:
{$IFDEF AVXSUP}vmovsd [eax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
// next line:
add ecx, srcLineWidth;
add eax, edx;
// loop y end
dec Height;
jnz @@addforyloop;
// epilog
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop esi;
pop edi;
pop ebx;
end;
procedure AVXMatrixVarColumnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean);
var tmp : double;
asm
// prolog
push ebx;
push edi;
push esi;
// preparations
mov edi, height;
{$IFDEF AVXSUP}vcvtsi2sd xmm0, xmm0, edi; {$ELSE}db $C5,$FB,$2A,$C7;{$ENDIF}
imul edi, srcLineWidth;
imul edi, -1;
// helper registers for the mt1, mt2 and dest pointers
sub ecx, edi;
lea esi, tmp;
{$IFDEF AVXSUP}vmovsd [esi], xmm0; {$ELSE}db $C5,$FB,$11,$06;{$ENDIF}
{$IFDEF AVXSUP}vbroadcastsd ymm2, [esi]; {$ELSE}db $C4,$E2,$7D,$19,$16;{$ENDIF} // vbroadcastsd ymm2, xmm0; // avx2
mov ebx, srcLineWidth;
lea esi, cLocOne;
{$IFDEF AVXSUP}vbroadcastsd ymm5, [esi]; {$ELSE}db $C4,$E2,$7D,$19,$2E;{$ENDIF}
// for x := 0 to width - 1:
mov esi, Width;
sub esi, 4;
jl @@addforxloop4end;
// 4 columns at once
@@addforxloop4:
{$IFDEF AVXSUP}vxorpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$57,$C9;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov edx, edi;
@addforyloop4:
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, [ecx + edx]; {$ELSE}db $C5,$F5,$58,$0C,$11;{$ENDIF}
add edx, ebx;
jnz @addforyloop4;
// build result
{$IFDEF AVXSUP}vdivpd ymm0, ymm1, ymm2; {$ELSE}db $C5,$F5,$5E,$C2;{$ENDIF}
// calculate final standard deviation
// for y := 0 to height - 1;
// prepare for reverse loop
{$IFDEF AVXSUP}vxorpd ymm4, ymm4, ymm4; {$ELSE}db $C5,$DD,$57,$E4;{$ENDIF}
mov edx, edi;
@addforyloop4_2:
{$IFDEF AVXSUP}vmovapd ymm1, [ecx + edx]; {$ELSE}db $C5,$FD,$28,$0C,$11;{$ENDIF}
{$IFDEF AVXSUP}vsubpd ymm1, ymm1, ymm0; {$ELSE}db $C5,$F5,$5C,$C8;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$59,$C9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm4, ymm4, ymm1; {$ELSE}db $C5,$DD,$58,$E1;{$ENDIF}
add edx, ebx;
jnz @addforyloop4_2;
// check if we need to use the unbiased version
cmp unbiased, 0;
jz @@dobiased_4;
lea edx, cLocOne;
{$IFDEF AVXSUP}vbroadcastsd ymm1, [edx]; {$ELSE}db $C4,$E2,$7D,$19,$0A;{$ENDIF}
{$IFDEF AVXSUP}vsubpd ymm3, ymm2, ymm1; {$ELSE}db $C5,$ED,$5C,$D9;{$ENDIF}
{$IFDEF AVXSUP}vmaxpd ymm3, ymm3, ymm1; {$ELSE}db $C5,$E5,$5F,$D9;{$ENDIF}
{$IFDEF AVXSUP}vdivpd ymm4, ymm4, ymm3; {$ELSE}db $C5,$DD,$5E,$E3;{$ENDIF}
jmp @@writeRes_4;
@@dobiased_4:
{$IFDEF AVXSUP}vdivpd ymm4, ymm4, ymm2; {$ELSE}db $C5,$DD,$5E,$E2;{$ENDIF}
// write result
@@writeRes_4:
{$IFDEF AVXSUP}vmovapd [eax], ymm4; {$ELSE}db $C5,$FD,$29,$20;{$ENDIF}
// next columns:
add eax, 32;
add ecx, 32;
// loop x end
sub esi, 4;
jge @@addforxloop4;
@@addforxloop4end:
add esi, 4;
jz @@endProc;
sub esi, 2;
jl @@lastcolumn;
{$IFDEF AVXSUP}vxorpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$57,$C9;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov edx, edi;
@addforyloop2:
{$IFDEF AVXSUP}vaddpd xmm1, xmm1, [ecx + edx]; {$ELSE}db $C5,$F1,$58,$0C,$11;{$ENDIF}
add edx, ebx;
jnz @addforyloop2;
// build result
{$IFDEF AVXSUP}vdivpd xmm0, xmm1, xmm2; {$ELSE}db $C5,$F1,$5E,$C2;{$ENDIF}
// calculate final standard deviation
// for y := 0 to height - 1;
// prepare for reverse loop
{$IFDEF AVXSUP}vxorpd xmm4, xmm4, xmm4; {$ELSE}db $C5,$D9,$57,$E4;{$ENDIF}
mov edx, edi;
@addforyloop2_2:
{$IFDEF AVXSUP}vmovapd xmm1, [ecx + edx]; {$ELSE}db $C5,$F9,$28,$0C,$11;{$ENDIF}
{$IFDEF AVXSUP}vsubpd xmm1, xmm1, xmm0; {$ELSE}db $C5,$F1,$5C,$C8;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$59,$C9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm4, xmm4, xmm1; {$ELSE}db $C5,$D9,$58,$E1;{$ENDIF}
add edx, ebx;
jnz @addforyloop2_2;
// check if we need to use the unbiased version
cmp unbiased, 0;
jz @@dobiased_2;
{$IFDEF AVXSUP}vsubpd xmm3, xmm2, xmm5; {$ELSE}db $C5,$E9,$5C,$DD;{$ENDIF}
{$IFDEF AVXSUP}vmaxpd xmm3, xmm3, xmm5; {$ELSE}db $C5,$E1,$5F,$DD;{$ENDIF}
{$IFDEF AVXSUP}vdivpd xmm4, xmm4, xmm3; {$ELSE}db $C5,$D9,$5E,$E3;{$ENDIF}
jmp @@writeRes2;
@@dobiased_2:
{$IFDEF AVXSUP}vdivpd xmm4, xmm4, xmm2; {$ELSE}db $C5,$D9,$5E,$E2;{$ENDIF}
// write result
@@writeRes2:
{$IFDEF AVXSUP}vmovapd [eax], xmm4; {$ELSE}db $C5,$F9,$29,$20;{$ENDIF}
// next columns:
add eax, 16;
add ecx, 16;
dec esi;
jnz @@endProc;
@@lastcolumn:
{$IFDEF AVXSUP}vxorpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$57,$C9;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov edx, edi;
@addforyloop_1:
{$IFDEF AVXSUP}vaddsd xmm1, xmm1, [ecx + edx]; {$ELSE}db $C5,$F3,$58,$0C,$11;{$ENDIF}
add edx, ebx;
jnz @addforyloop_1;
// build result
{$IFDEF AVXSUP}vdivsd xmm0, xmm1, xmm2; {$ELSE}db $C5,$F3,$5E,$C2;{$ENDIF}
// calculate final standard deviation
// for y := 0 to height - 1;
// prepare for reverse loop
{$IFDEF AVXSUP}vxorpd xmm4, xmm4, xmm4; {$ELSE}db $C5,$D9,$57,$E4;{$ENDIF}
mov edx, edi;
@addforyloop1_2:
{$IFDEF AVXSUP}vmovsd xmm1, [ecx + edx]; {$ELSE}db $C5,$FB,$10,$0C,$11;{$ENDIF}
{$IFDEF AVXSUP}vsubsd xmm1, xmm1, xmm0; {$ELSE}db $C5,$F3,$5C,$C8;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F3,$59,$C9;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm4, xmm4, xmm1; {$ELSE}db $C5,$DB,$58,$E1;{$ENDIF}
add edx, ebx;
jnz @addforyloop1_2;
// check if we need to use the unbiased version
cmp unbiased, 0;
jz @@dobiased_2;
{$IFDEF AVXSUP}vmovsd xmm3, xmm3, xmm2; {$ELSE}db $C5,$E3,$11,$D3;{$ENDIF}
{$IFDEF AVXSUP}vsubsd xmm3, xmm3, xmm5; {$ELSE}db $C5,$E3,$5C,$DD;{$ENDIF}
{$IFDEF AVXSUP}vmaxsd xmm3, xmm3, xmm5; {$ELSE}db $C5,$E3,$5F,$DD;{$ENDIF}
{$IFDEF AVXSUP}vdivsd xmm4, xmm4, xmm3; {$ELSE}db $C5,$DB,$5E,$E3;{$ENDIF}