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ASMMatrixMeanOperations.pas
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ASMMatrixMeanOperations.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 ASMMatrixMeanOperations;
interface
{$I 'mrMath_CPU.inc'}
{$IFNDEF x64}
procedure ASMMatrixMeanRowAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMeanRowUnAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMeanRowAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMeanRowUnAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMeanColumnAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMeanColumnUnAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMeanColumnAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMeanColumnUnAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixVarRowAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixVarRowUnAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixVarRowAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixVarRowUnAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixVarColumnAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixVarColumnUnAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixVarColumnAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixVarColumnUnAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// combined mean and variance calculation
procedure ASMMatrixMeanVarRowAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMeanVarRowUnAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMeanVarRowAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMeanVarRowUnAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMeanVarColumnAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMeanVarColumnUnAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMeanVarColumnAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure ASMMatrixMeanVarColumnUnAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
{$ENDIF}
implementation
{$IFNDEF x64}
const cLocOne : double = 1;
cLocOnes : Array[0..1] of double = (1, 1);
procedure ASMMatrixMeanRowAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt);
asm
push ebx;
push edi;
push esi;
// iters := -width*sizeof(double);
mov ebx, width;
cvtsi2sd xmm5, ebx;
imul ebx, -8;
// helper registers for the mt1, mt2 and dest pointers
sub ecx, ebx;
// for y := 0 to height - 1:
mov esi, Height;
@@addforyloop:
xorpd xmm0, xmm0;
xorpd xmm1, xmm1;
xorpd xmm2, xmm2;
xorpd xmm3, xmm3;
// for x := 0 to w - 1;
// prepare for reverse loop
mov edi, ebx;
@addforxloop:
add edi, 128;
jg @loopEnd;
// prefetch data...
// prefetch [ecx + edi];
// addition:
addpd xmm0, [ecx + edi - 128];
addpd xmm1, [ecx + edi - 112];
addpd xmm2, [ecx + edi - 96];
addpd xmm3, [ecx + edi - 80];
addpd xmm0, [ecx + edi - 64];
addpd xmm1, [ecx + edi - 48];
addpd xmm2, [ecx + edi - 32];
addpd xmm3, [ecx + edi - 16];
jmp @addforxloop
@loopEnd:
sub edi, 128;
jz @buildRes;
@addforxloop2:
addpd xmm0, [ecx + edi];
add edi, 16;
jnz @addforxloop2;
@buildRes:
addpd xmm0, xmm1;
addpd xmm2, xmm3;
addpd xmm0, xmm2;
// build result
haddpd xmm0, xmm0;
divsd xmm0, xmm5;
// write result
movsd [eax], xmm0;
// next line:
add ecx, srcLineWidth;
add eax, edx;
// loop y end
dec esi;
jnz @@addforyloop;
pop esi;
pop edi;
pop ebx;
end;
procedure ASMMatrixMeanRowUnAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt);
asm
push ebx;
push edi;
push esi;
// iters := -width*sizeof(double);
mov ebx, width;
cvtsi2sd xmm5, ebx;
imul ebx, -8;
// helper registers for the mt1, mt2 and dest pointers
sub ecx, ebx;
// for y := 0 to height - 1:
mov esi, Height;
@@addforyloop:
xorpd xmm7, xmm7;
// for x := 0 to w - 1;
// prepare for reverse loop
mov edi, ebx;
@addforxloop:
add edi, 128;
jg @loopEnd;
// addition:
movupd xmm0, [ecx + edi - 128];
addpd xmm7, xmm0;
movupd xmm1, [ecx + edi - 112];
addpd xmm7, xmm1;
movupd xmm2, [ecx + edi - 96];
addpd xmm7, xmm2;
movupd xmm3, [ecx + edi - 80];
addpd xmm7, xmm3;
movupd xmm0, [ecx + edi - 64];
addpd xmm7, xmm0;
movupd xmm1, [ecx + edi - 48];
addpd xmm7, xmm1;
movupd xmm2, [ecx + edi - 32];
addpd xmm7, xmm2;
movupd xmm3, [ecx + edi - 16];
addpd xmm7, xmm3;
jmp @addforxloop
@loopEnd:
sub edi, 128;
jz @buildRes;
@addforxloop2:
movupd xmm0, [ecx + edi];
addpd xmm7, xmm0;
add edi, 16;
jnz @addforxloop2;
@buildRes:
// build result
haddpd xmm7, xmm7;
divsd xmm7, xmm5;
movsd [eax], xmm7;
// next line:
add ecx, srcLineWidth;
add eax, edx;
// loop y end
dec esi;
jnz @@addforyloop;
pop esi;
pop edi;
pop ebx;
end;
procedure ASMMatrixMeanRowAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt);
asm
push ebx;
push edi;
push esi;
// iters := -width*sizeof(double);
mov ebx, width;
cvtsi2sd xmm5, ebx;
dec ebx;
imul ebx, -8;
// helper registers for the mt1, mt2 and dest pointers
sub ecx, ebx;
// for y := 0 to height - 1:
mov esi, Height;
@@addforyloop:
xorpd xmm0, xmm0;
xorpd xmm1, xmm1;
xorpd xmm2, xmm2;
xorpd xmm3, xmm3;
// for x := 0 to w - 1;
// prepare for reverse loop
mov edi, ebx;
@addforxloop:
add edi, 128;
jg @loopEnd;
// prefetch data...
// prefetch [ecx + edi];
// addition:
addpd xmm0, [ecx + edi - 128];
addpd xmm1, [ecx + edi - 112];
addpd xmm2, [ecx + edi - 96];
addpd xmm3, [ecx + edi - 80];
addpd xmm0, [ecx + edi - 64];
addpd xmm1, [ecx + edi - 48];
addpd xmm2, [ecx + edi - 32];
addpd xmm3, [ecx + edi - 16];
jmp @addforxloop
@loopEnd:
sub edi, 128;
jz @buildRes;
@addforxloop2:
addpd xmm0, [ecx + edi];
add edi, 16;
jnz @addforxloop2;
@buildRes:
addpd xmm0, xmm1;
addpd xmm2, xmm3;
addpd xmm0, xmm2;
// handle last element differently
movsd xmm2, [ecx + edi];
addsd xmm0, xmm2;
// build result
haddpd xmm0, xmm0;
divsd xmm0, xmm5;
movsd [eax], xmm0;
// next line:
add ecx, srcLineWidth;
add eax, edx;
// loop y end
dec esi;
jnz @@addforyloop;
pop esi;
pop edi;
pop ebx;
end;
procedure ASMMatrixMeanRowUnAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt);
asm
push ebx;
push edi;
push esi;
// iters := -width*sizeof(double);
mov ebx, width;
cvtsi2sd xmm5, ebx;
dec ebx;
imul ebx, -8;
// helper registers for the mt1, mt2 and dest pointers
sub ecx, ebx;
// for y := 0 to height - 1:
mov esi, Height;
@@addforyloop:
xorpd xmm7, xmm7;
// for x := 0 to w - 1;
// prepare for reverse loop
mov edi, ebx;
@addforxloop:
add edi, 128;
jg @loopEnd;
// addition:
movupd xmm0, [ecx + edi - 128];
addpd xmm7, xmm0;
movupd xmm1, [ecx + edi - 112];
addpd xmm7, xmm1;
movupd xmm2, [ecx + edi - 96];
addpd xmm7, xmm2;
movupd xmm3, [ecx + edi - 80];
addpd xmm7, xmm3;
movupd xmm0, [ecx + edi - 64];
addpd xmm7, xmm0;
movupd xmm1, [ecx + edi - 48];
addpd xmm7, xmm1;
movupd xmm2, [ecx + edi - 32];
addpd xmm7, xmm2;
movupd xmm3, [ecx + edi - 16];
addpd xmm7, xmm3;
jmp @addforxloop
@loopEnd:
sub edi, 128;
jz @buildRes;
@addforxloop2:
movupd xmm0, [ecx + edi];
addpd xmm7, xmm0;
add edi, 16;
jnz @addforxloop2;
@buildRes:
// handle last element differently
movsd xmm2, [ecx + edi];
addsd xmm7, xmm2;
// build result
haddpd xmm7, xmm7;
divsd xmm7, xmm5;
movsd [eax], xmm7;
// next line:
add ecx, srcLineWidth;
add eax, edx;
// loop y end
dec esi;
jnz @@addforyloop;
pop esi;
pop edi;
pop ebx;
end;
procedure ASMMatrixMeanColumnAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt);
asm
push ebx;
push edi;
push esi;
// iters := -width*sizeof(double);
mov edx, srcLineWidth;
mov ebx, height;
cvtsi2sd xmm5, ebx;
imul ebx, edx;
imul ebx, -1;
// helper registers for the mt1, mt2 and dest pointers
sub ecx, ebx;
// helper registers for the mt1, mt2 and dest pointers
movddup xmm6, xmm5;
// for x := 0 to width - 1:
mov esi, Width;
sar esi, 1;
@@addforxloop:
xorpd xmm7, xmm7;
// for y := 0 to height - 1;
// prepare for reverse loop
mov edi, ebx;
@addforyloop:
addpd xmm7, [ecx + edi];
add edi, edx;
jnz @addforyloop;
// build result
divpd xmm7, xmm6;
movapd [eax], xmm7;
// next columns:
add ecx, 16;
add eax, 16;
// loop x end
dec esi;
jnz @@addforxloop;
pop esi;
pop edi;
pop ebx;
end;
procedure ASMMatrixMeanColumnUnAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt);
asm
push ebx;
push edi;
push esi;
// iters := -width*sizeof(double);
mov edx, srcLineWidth;
mov ebx, height;
cvtsi2sd xmm5, ebx;
imul ebx, edx;
imul ebx, -1;
// helper registers for the mt1, mt2 and dest pointers
sub ecx, ebx;
// helper registers for the mt1, mt2 and dest pointers
movddup xmm6, xmm5;
// for x := 0 to width - 1:
mov esi, Width;
sar esi, 1;
@@addforxloop:
xorpd xmm7, xmm7;
// for y := 0 to height - 1;
// prepare for reverse loop
mov edi, ebx;
@addforyloop:
movupd xmm0, [ecx + edi];
addpd xmm7, xmm0;
add edi, edx;
jnz @addforyloop;
// build result
divpd xmm7, xmm6;
movupd [eax], xmm7;
// next columns:
add ecx, 16;
add eax, 16;
// loop x end
dec esi;
jnz @@addforxloop;
pop esi;
pop edi;
pop ebx;
end;
procedure ASMMatrixMeanColumnAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt);
asm
push ebx;
push edi;
push esi;
// iters := -width*sizeof(double);
mov edx, srcLineWidth;
mov ebx, height;
cvtsi2sd xmm5, ebx;
imul ebx, edx;
imul ebx, -1;
sub ecx, ebx;
movddup xmm6, xmm5;
// for x := 0 to width - 1:
mov esi, Width;
sar esi, 1;
jz @lastColumn;
@@addforxloop:
xorpd xmm7, xmm7;
// for y := 0 to height - 1;
// prepare for reverse loop
mov edi, ebx;
@addforyloop:
addpd xmm7, [ecx + edi];
add edi, edx;
jnz @addforyloop;
// build result
divpd xmm7, xmm6;
movapd [eax], xmm7;
// next columns:
add ecx, 16;
add eax, 16;
// loop x end
dec esi;
jnz @@addforxloop;
@lastColumn:
// handle last column
xorpd xmm7, xmm7;
// for y := 0 to height - 1;
// prepare for reverse loop
mov edi, ebx;
@addforyloop3:
movsd xmm0, [ecx + edi];
addsd xmm7, xmm0;
add edi, edx;
jnz @addforyloop3;
// build result
divsd xmm7, xmm6;
movsd [eax], xmm7;
pop esi;
pop edi;
pop ebx;
end;
procedure ASMMatrixMeanColumnUnAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt);
asm
push ebx;
push edi;
push esi;
// iters := -width*sizeof(double);
mov edx, srcLineWidth;
mov ebx, height;
cvtsi2sd xmm5, ebx;
imul ebx, edx;
imul ebx, -1;
sub ecx, ebx;
movddup xmm6, xmm5;
// for x := 0 to width - 1:
mov esi, Width;
sar esi, 1;
jz @lastColumn;
@@addforxloop:
xorpd xmm7, xmm7;
// for y := 0 to height - 1;
// prepare for reverse loop
mov edi, ebx;
@addforyloop:
movupd xmm0, [ecx + edi];
addpd xmm7, xmm0;
add edi, edx;
jnz @addforyloop;
// build result
divpd xmm7, xmm6;
movupd [eax], xmm7;
// next columns:
add ecx, 16;
add eax, 16;
// loop x end
dec esi;
jnz @@addforxloop;
@lastColumn:
// handle last column
xorpd xmm7, xmm7;
// for y := 0 to height - 1;
// prepare for reverse loop
mov edi, ebx;
@addforyloop3:
movsd xmm0, [ecx + edi];
addsd xmm7, xmm0;
add edi, edx;
jnz @addforyloop3;
// build result
divsd xmm7, xmm6;
movsd [eax], xmm7;
pop esi;
pop edi;
pop ebx;
end;
// ###########################################
// #### Variance calculation
// ###########################################
procedure ASMMatrixVarRowAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean);
asm
push ebx;
push esi;
push edi;
mov ebx, width;
cvtsi2sd xmm5, ebx;
imul ebx, -8;
// helper registers for the mt1, mt2 and dest pointers
sub ecx, ebx;
// for y := 0 to height - 1:
mov esi, Height;
@@addforyloop:
xorpd xmm0, xmm0;
xorpd xmm1, xmm1;
xorpd xmm2, xmm2;
xorpd xmm3, xmm3;
// for x := 0 to w - 1;
// prepare for reverse loop
mov edi, ebx;
@addforxloop:
add edi, 128;
jg @loopEnd;
// prefetch data...
// prefetch [ecx + edi];
// addition:
addpd xmm0, [ecx + edi - 128];
addpd xmm1, [ecx + edi - 112];
addpd xmm2, [ecx + edi - 96];
addpd xmm3, [ecx + edi - 80];
addpd xmm0, [ecx + edi - 64];
addpd xmm1, [ecx + edi - 48];
addpd xmm2, [ecx + edi - 32];
addpd xmm3, [ecx + edi - 16];
jmp @addforxloop
@loopEnd:
sub edi, 128;
jz @buildRes;
@addforxloop2:
addpd xmm0, [ecx + edi];
add edi, 16;
jnz @addforxloop2;
@buildRes:
addpd xmm0, xmm1;
addpd xmm2, xmm3;
addpd xmm0, xmm2;
// build result
haddpd xmm0, xmm0;
divsd xmm0, xmm5;
// we have calculated the mean ->
// repeat the loop to calculate the variance
movddup xmm4, xmm0;
xorpd xmm0, xmm0;
// for x := 0 to w - 1;
// prepare for reverse loop
// variance = sum (x - mean)^2
mov edi, ebx;
@addforxloop3:
add edi, 128;
jg @loopEnd2;
// prefetch data...
// prefetch [ecx + edi];
// addition:
movapd xmm1, [ecx + edi - 128];
movapd xmm2, [ecx + edi - 112];
subpd xmm1, xmm4;
subpd xmm2, xmm4;
mulpd xmm1, xmm1;
mulpd xmm2, xmm2;
addpd xmm0, xmm1;
addpd xmm0, xmm2;
movapd xmm1, [ecx + edi - 96];
movapd xmm2, [ecx + edi - 80];
subpd xmm1, xmm4;
subpd xmm2, xmm4;
mulpd xmm1, xmm1;
mulpd xmm2, xmm2;
addpd xmm0, xmm1;
addpd xmm0, xmm2;
movapd xmm1, [ecx + edi - 64];
movapd xmm2, [ecx + edi - 48];
subpd xmm1, xmm4;
subpd xmm2, xmm4;
mulpd xmm1, xmm1;
mulpd xmm2, xmm2;
addpd xmm0, xmm1;
addpd xmm0, xmm2;
movapd xmm1, [ecx + edi - 32];
movapd xmm2, [ecx + edi - 16];
subpd xmm1, xmm4;
subpd xmm2, xmm4;
mulpd xmm1, xmm1;
mulpd xmm2, xmm2;
addpd xmm0, xmm1;
addpd xmm0, xmm2;
jmp @addforxloop3
@loopEnd2:
sub edi, 128;
jz @buildRes2;
@addforxloop4:
movapd xmm1, [ecx + edi];
subpd xmm1, xmm4;
mulpd xmm1, xmm1;
addpd xmm0, xmm1;
add edi, 16;
jnz @addforxloop4;
@buildRes2:
// build result
movhlps xmm1, xmm0;
addsd xmm0, xmm1;
// check if we need to use the unbiased version
cmp unbiased, 0;
jz @@dobiased;
movsd xmm4, xmm5;
subsd xmm4, cLocOne;
maxsd xmm4, cLocOne;
divsd xmm0, xmm4;
jmp @@writeRes;
@@dobiased:
divsd xmm0, xmm5;
// write result
@@writeRes:
movsd [eax], xmm0;
// next line:
add ecx, srcLineWidth;
add eax, edx;
// loop y end
dec esi;
jnz @@addforyloop;
pop edi;
pop esi;
pop ebx;
end;
procedure ASMMatrixVarRowUnAlignedEvenW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean);
asm
push ebx;
push esi;
push edi;
mov ebx, width;
cvtsi2sd xmm5, ebx;
imul ebx, -8;
// helper registers for the mt1, mt2 and dest pointers
sub ecx, ebx;
// for y := 0 to height - 1:
mov esi, Height;
@@addforyloop:
xorpd xmm7, xmm7;
// for x := 0 to w - 1;
// prepare for reverse loop
mov edi, ebx;
@addforxloop:
add edi, 128;
jg @loopEnd;
// addition:
movupd xmm0, [ecx + edi - 128];
addpd xmm7, xmm0;
movupd xmm1, [ecx + edi - 112];
addpd xmm7, xmm1;
movupd xmm2, [ecx + edi - 96];
addpd xmm7, xmm2;
movupd xmm3, [ecx + edi - 80];
addpd xmm7, xmm3;
movupd xmm0, [ecx + edi - 64];
addpd xmm7, xmm0;
movupd xmm1, [ecx + edi - 48];
addpd xmm7, xmm1;
movupd xmm2, [ecx + edi - 32];
addpd xmm7, xmm2;
movupd xmm3, [ecx + edi - 16];
addpd xmm7, xmm3;
jmp @addforxloop
@loopEnd:
sub edi, 128;
jz @buildRes;
@addforxloop2:
movupd xmm0, [ecx + edi];
addpd xmm7, xmm0;
add edi, 16;
jnz @addforxloop2;
@buildRes:
// build result
haddpd xmm7, xmm7;
divsd xmm7, xmm5;
// we have calculated the mean ->
// repeat the loop to calculate the variance
movddup xmm4, xmm7;
xorpd xmm0, xmm0;
// for x := 0 to w - 1;
// prepare for reverse loop
// variance = sum (x - mean)^2
mov edi, ebx;
@addforxloop3:
add edi, 128;
jg @loopEnd2;
// prefetch data...
// prefetch [ecx + edi];
// addition:
movupd xmm1, [ecx + edi - 128];
movupd xmm2, [ecx + edi - 112];
subpd xmm1, xmm4;
subpd xmm2, xmm4;
mulpd xmm1, xmm1;
mulpd xmm2, xmm2;
addpd xmm0, xmm1;
addpd xmm0, xmm2;
movupd xmm1, [ecx + edi - 96];
movupd xmm2, [ecx + edi - 80];
subpd xmm1, xmm4;
subpd xmm2, xmm4;
mulpd xmm1, xmm1;
mulpd xmm2, xmm2;
addpd xmm0, xmm1;
addpd xmm0, xmm2;
movupd xmm1, [ecx + edi - 64];
movupd xmm2, [ecx + edi - 48];
subpd xmm1, xmm4;
subpd xmm2, xmm4;
mulpd xmm1, xmm1;
mulpd xmm2, xmm2;
addpd xmm0, xmm1;
addpd xmm0, xmm2;
movupd xmm1, [ecx + edi - 32];
movupd xmm2, [ecx + edi - 16];
subpd xmm1, xmm4;
subpd xmm2, xmm4;
mulpd xmm1, xmm1;
mulpd xmm2, xmm2;
addpd xmm0, xmm1;
addpd xmm0, xmm2;
jmp @addforxloop3
@loopEnd2:
sub edi, 128;
jz @buildRes2;
@addforxloop4:
movupd xmm1, [ecx + edi];
subpd xmm1, xmm4;
mulpd xmm1, xmm1;
addpd xmm0, xmm1;
add edi, 16;
jnz @addforxloop4;
@buildRes2:
// build result
movhlps xmm1, xmm0;
addsd xmm0, xmm1;
// check if we need to use the unbiased version
cmp unbiased, 0;
jz @@dobiased;
movsd xmm4, xmm5;
subsd xmm4, cLocOne;
maxsd xmm4, cLocOne;
divsd xmm0, xmm4;
jmp @@writeRes;
@@dobiased:
divsd xmm0, xmm5;
// write result
@@writeRes:
movsd [eax], xmm0;
// next line:
add ecx, srcLineWidth;
add eax, edx;
// loop y end
dec esi;
jnz @@addforyloop;
pop edi;
pop esi;
pop ebx;
end;
procedure ASMMatrixVarRowAlignedOddW(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; width, height : NativeInt; unbiased : boolean);
asm
push ebx;
push esi;
push edi;
mov ebx, width;
cvtsi2sd xmm5, ebx;
dec ebx;
imul ebx, -8;