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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
{$IFDEF CPUX64}
{$DEFINE x64}
{$ENDIF}
{$IFDEF cpux86_64}
{$DEFINE x64}
{$ENDIF}
{$IFNDEF x64}
uses MatrixConst;
procedure ASMMatrixMeanRowAlignedEvenW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt);
procedure ASMMatrixMeanRowUnAlignedEvenW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt);
procedure ASMMatrixMeanRowAlignedOddW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt);
procedure ASMMatrixMeanRowUnAlignedOddW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt);
procedure ASMMatrixMeanColumnAlignedEvenW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt);
procedure ASMMatrixMeanColumnUnAlignedEvenW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt);
procedure ASMMatrixMeanColumnAlignedOddW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt);
procedure ASMMatrixMeanColumnUnAlignedOddW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt);
procedure ASMMatrixVarRowAlignedEvenW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt; unbiased : boolean);
procedure ASMMatrixVarRowUnAlignedEvenW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt; unbiased : boolean);
procedure ASMMatrixVarRowAlignedOddW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt; unbiased : boolean);
procedure ASMMatrixVarRowUnAlignedOddW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt; unbiased : boolean);
procedure ASMMatrixVarColumnAlignedEvenW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt; unbiased : boolean);
procedure ASMMatrixVarColumnUnAlignedEvenW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt; unbiased : boolean);
procedure ASMMatrixVarColumnAlignedOddW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt; unbiased : boolean);
procedure ASMMatrixVarColumnUnAlignedOddW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt; unbiased : boolean);
{$ENDIF}
implementation
{$IFNDEF x64}
{$IFDEF FPC} {$ASMMODE intel} {$ENDIF}
procedure ASMMatrixMeanRowAlignedEvenW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt);
var iters : TASMNativeInt;
begin
Assert((Cardinal(Src) and $0000000F = 0) and ((srcLineWidth and $0000000F) = 0) and
(Cardinal(dest) and $0000000F = 0) and ((destLineWidth and $0000000F) = 0), 'Error non aligned data');
Assert((width and 1) = 0, 'Error width must be even');
assert((width > 0) and (height > 0) and (srcLineWidth >= width*sizeof(double)) and (destLineWidth >= sizeof(double)), 'Dimension error');
iters := -width*sizeof(double);
asm
push ebx;
// helper registers for the mt1, mt2 and dest pointers
mov ecx, src;
sub ecx, iters;
mov ebx, dest;
{$IFDEF FPC}
mov eax, width;
cvtsi2sd xmm5, eax;
{$ELSE}
cvtsi2sd xmm5, width;
{$ENDIF}
// for y := 0 to height - 1:
mov edx, 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 eax, iters;
@addforxloop:
add eax, 128;
jg @loopEnd;
// prefetch data...
// prefetch [ecx + eax];
// addition:
addpd xmm0, [ecx + eax - 128];
addpd xmm1, [ecx + eax - 112];
addpd xmm2, [ecx + eax - 96];
addpd xmm3, [ecx + eax - 80];
addpd xmm0, [ecx + eax - 64];
addpd xmm1, [ecx + eax - 48];
addpd xmm2, [ecx + eax - 32];
addpd xmm3, [ecx + eax - 16];
jmp @addforxloop
@loopEnd:
sub eax, 128;
jz @buildRes;
@addforxloop2:
addpd xmm0, [ecx + eax];
add eax, 16;
jnz @addforxloop2;
@buildRes:
addpd xmm0, xmm1;
addpd xmm2, xmm3;
addpd xmm0, xmm2;
// build result
movhlps xmm1, xmm0;
addsd xmm0, xmm1;
divsd xmm0, xmm5;
// write result
movlpd [ebx], xmm0;
// next line:
add ecx, srcLineWidth;
add ebx, destLineWidth;
// loop y end
dec edx;
jnz @@addforyloop;
pop ebx;
end;
end;
procedure ASMMatrixMeanRowUnAlignedEvenW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt);
var iters : TASMNativeInt;
begin
Assert((width and 1) = 0, 'Error width must be even');
assert((width > 0) and (height > 0) and (srcLineWidth >= width*sizeof(double)) and (destLineWidth >= sizeof(double)), 'Dimension error');
iters := -width*sizeof(double);
asm
push ebx;
// helper registers for the mt1, mt2 and dest pointers
mov ecx, src;
sub ecx, iters;
mov ebx, dest;
{$IFDEF FPC}
mov eax, width;
cvtsi2sd xmm5, eax;
{$ELSE}
cvtsi2sd xmm5, width;
{$ENDIF}
// for y := 0 to height - 1:
mov edx, Height;
@@addforyloop:
xorpd xmm7, xmm7;
// for x := 0 to w - 1;
// prepare for reverse loop
mov eax, iters;
@addforxloop:
add eax, 128;
jg @loopEnd;
// addition:
movupd xmm0, [ecx + eax - 128];
addpd xmm7, xmm0;
movupd xmm1, [ecx + eax - 112];
addpd xmm7, xmm1;
movupd xmm2, [ecx + eax - 96];
addpd xmm7, xmm2;
movupd xmm3, [ecx + eax - 80];
addpd xmm7, xmm3;
movupd xmm0, [ecx + eax - 64];
addpd xmm7, xmm0;
movupd xmm1, [ecx + eax - 48];
addpd xmm7, xmm1;
movupd xmm2, [ecx + eax - 32];
addpd xmm7, xmm2;
movupd xmm3, [ecx + eax - 16];
addpd xmm7, xmm3;
jmp @addforxloop
@loopEnd:
sub eax, 128;
jz @buildRes;
@addforxloop2:
movupd xmm0, [ecx + eax];
addpd xmm7, xmm0;
add eax, 16;
jnz @addforxloop2;
@buildRes:
// build result
movhlps xmm1, xmm7;
addsd xmm7, xmm1;
divsd xmm7, xmm5;
movlpd [ebx], xmm7;
// next line:
add ecx, srcLineWidth;
add ebx, destLineWidth;
// loop y end
dec edx;
jnz @@addforyloop;
pop ebx;
end;
end;
procedure ASMMatrixMeanRowAlignedOddW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt);
var iters : TASMNativeInt;
begin
Assert((Cardinal(Src) and $0000000F = 0) and ((srcLineWidth and $0000000F) = 0) and
(Cardinal(dest) and $0000000F = 0) and ((destLineWidth and $0000000F) = 0), 'Error non aligned data');
Assert((width and 1) = 1, 'Error width must be odd');
assert((width > 0) and (height > 0) and (srcLineWidth >= width*sizeof(double)) and (destLineWidth >= sizeof(double)), 'Dimension error');
iters := -(width - 1)*sizeof(double);
asm
push ebx;
// helper registers for the mt1, mt2 and dest pointers
mov ecx, src;
sub ecx, iters;
mov ebx, dest;
{$IFDEF FPC}
mov eax, width;
cvtsi2sd xmm5, eax;
{$ELSE}
cvtsi2sd xmm5, width;
{$ENDIF}
// for y := 0 to height - 1:
mov edx, 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 eax, iters;
@addforxloop:
add eax, 128;
jg @loopEnd;
// prefetch data...
// prefetch [ecx + eax];
// addition:
addpd xmm0, [ecx + eax - 128];
addpd xmm1, [ecx + eax - 112];
addpd xmm2, [ecx + eax - 96];
addpd xmm3, [ecx + eax - 80];
addpd xmm0, [ecx + eax - 64];
addpd xmm1, [ecx + eax - 48];
addpd xmm2, [ecx + eax - 32];
addpd xmm3, [ecx + eax - 16];
jmp @addforxloop
@loopEnd:
sub eax, 128;
jz @buildRes;
@addforxloop2:
addpd xmm0, [ecx + eax];
add eax, 16;
jnz @addforxloop2;
@buildRes:
addpd xmm0, xmm1;
addpd xmm2, xmm3;
addpd xmm0, xmm2;
// handle last element differently
movlpd xmm2, [ecx + eax];
addsd xmm0, xmm2;
// build result
movhlps xmm1, xmm0;
addsd xmm0, xmm1;
divsd xmm0, xmm5;
movlpd [ebx], xmm0;
// next line:
add ecx, srcLineWidth;
add ebx, destLineWidth;
// loop y end
dec edx;
jnz @@addforyloop;
pop ebx;
end;
end;
procedure ASMMatrixMeanRowUnAlignedOddW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt);
var iters : TASMNativeInt;
begin
Assert((width and 1) = 1, 'Error width must be odd');
assert((width > 0) and (height > 0) and (srcLineWidth >= width*sizeof(double)) and (destLineWidth >= sizeof(double)), 'Dimension error');
iters := -(width - 1)*sizeof(double);
asm
push ebx;
// helper registers for the mt1, mt2 and dest pointers
mov ecx, src;
sub ecx, iters;
mov ebx, dest;
{$IFDEF FPC}
mov eax, width;
cvtsi2sd xmm5, eax;
{$ELSE}
cvtsi2sd xmm5, width;
{$ENDIF}
// for y := 0 to height - 1:
mov edx, Height;
@@addforyloop:
xorpd xmm7, xmm7;
// for x := 0 to w - 1;
// prepare for reverse loop
mov eax, iters;
@addforxloop:
add eax, 128;
jg @loopEnd;
// addition:
movupd xmm0, [ecx + eax - 128];
addpd xmm7, xmm0;
movupd xmm1, [ecx + eax - 112];
addpd xmm7, xmm1;
movupd xmm2, [ecx + eax - 96];
addpd xmm7, xmm2;
movupd xmm3, [ecx + eax - 80];
addpd xmm7, xmm3;
movupd xmm0, [ecx + eax - 64];
addpd xmm7, xmm0;
movupd xmm1, [ecx + eax - 48];
addpd xmm7, xmm1;
movupd xmm2, [ecx + eax - 32];
addpd xmm7, xmm2;
movupd xmm3, [ecx + eax - 16];
addpd xmm7, xmm3;
jmp @addforxloop
@loopEnd:
sub eax, 128;
jz @buildRes;
@addforxloop2:
movupd xmm0, [ecx + eax];
addpd xmm7, xmm0;
add eax, 16;
jnz @addforxloop2;
@buildRes:
// handle last element differently
movlpd xmm2, [ecx + eax];
addsd xmm7, xmm2;
// build result
movhlps xmm1, xmm7;
addsd xmm7, xmm1;
divsd xmm7, xmm5;
movlpd [ebx], xmm7;
// next line:
add ecx, srcLineWidth;
add ebx, destLineWidth;
// loop y end
dec edx;
jnz @@addforyloop;
pop ebx;
end;
end;
procedure ASMMatrixMeanColumnAlignedEvenW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt);
var iters : TASMNativeInt;
begin
Assert((Cardinal(Src) and $0000000F = 0) and ((srcLineWidth and $0000000F) = 0) and
(Cardinal(dest) and $0000000F = 0) and ((destLineWidth and $0000000F) = 0), 'Error non aligned data');
Assert((width and 1) = 0, 'Error width must be even');
assert((width > 0) and (height > 0) and (srcLineWidth >= width*sizeof(double)) and (destLineWidth >= width*sizeof(double)), 'Dimension error');
iters := -height*srcLineWidth;
asm
push ebx;
// helper registers for the mt1, mt2 and dest pointers
mov ecx, src;
sub ecx, iters;
mov ebx, dest;
{$IFDEF FPC}
mov eax, height;
cvtsi2sd xmm5, eax;
{$ELSE}
cvtsi2sd xmm5, height;
{$ENDIF}
movddup xmm6, xmm5;
// for x := 0 to width - 1:
mov edx, Width;
sar edx, 1;
@@addforxloop:
xorpd xmm7, xmm7;
// for y := 0 to height - 1;
// prepare for reverse loop
mov eax, iters;
@addforyloop:
addpd xmm7, [ecx + eax];
add eax, srcLineWidth;
jnz @addforyloop;
// build result
divpd xmm7, xmm6;
movapd [ebx], xmm7;
// next columns:
add ecx, 16;
add ebx, 16;
// loop x end
dec edx;
jnz @@addforxloop;
pop ebx;
end;
end;
procedure ASMMatrixMeanColumnUnAlignedEvenW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt);
var iters : TASMNativeInt;
begin
Assert((width and 1) = 0, 'Error width must be even');
assert((width > 0) and (height > 0) and (srcLineWidth >= width*sizeof(double)) and (destLineWidth >= width*sizeof(double)), 'Dimension error');
iters := -height*srcLineWidth;
asm
push ebx;
// helper registers for the mt1, mt2 and dest pointers
mov ecx, src;
sub ecx, iters;
mov ebx, dest;
{$IFDEF FPC}
mov eax, height;
cvtsi2sd xmm5, eax;
{$ELSE}
cvtsi2sd xmm5, height;
{$ENDIF}
movddup xmm6, xmm5;
// for x := 0 to width - 1:
mov edx, Width;
sar edx, 1;
@@addforxloop:
xorpd xmm7, xmm7;
// for y := 0 to height - 1;
// prepare for reverse loop
mov eax, iters;
@addforyloop:
movupd xmm0, [ecx + eax];
addpd xmm7, xmm0;
add eax, srcLineWidth;
jnz @addforyloop;
// build result
divpd xmm7, xmm6;
movupd [ebx], xmm7;
// next columns:
add ecx, 16;
add ebx, 16;
// loop x end
dec edx;
jnz @@addforxloop;
pop ebx;
end;
end;
procedure ASMMatrixMeanColumnAlignedOddW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt);
var iters : TASMNativeInt;
begin
Assert((Cardinal(Src) and $0000000F = 0) and ((srcLineWidth and $0000000F) = 0) and
(Cardinal(dest) and $0000000F = 0) and ((destLineWidth and $0000000F) = 0), 'Error non aligned data');
Assert((width and 1) = 1, 'Error width must be even');
assert((width > 0) and (height > 0) and (srcLineWidth >= width*sizeof(double)) and (destLineWidth >= width*sizeof(double)), 'Dimension error');
iters := -height*srcLineWidth;
asm
push ebx;
// helper registers for the mt1, mt2 and dest pointers
mov ecx, src;
sub ecx, iters;
mov ebx, dest;
{$IFDEF FPC}
mov eax, height;
cvtsi2sd xmm5, eax;
{$ELSE}
cvtsi2sd xmm5, height;
{$ENDIF}
movddup xmm6, xmm5;
// for x := 0 to width - 1:
mov edx, Width;
sar edx, 1;
jz @lastColumn;
@@addforxloop:
xorpd xmm7, xmm7;
// for y := 0 to height - 1;
// prepare for reverse loop
mov eax, iters;
@addforyloop:
addpd xmm7, [ecx + eax];
add eax, srcLineWidth;
jnz @addforyloop;
// build result
divpd xmm7, xmm6;
movapd [ebx], xmm7;
// next columns:
add ecx, 16;
add ebx, 16;
// loop x end
dec edx;
jnz @@addforxloop;
@lastColumn:
// handle last column
xorpd xmm7, xmm7;
// for y := 0 to height - 1;
// prepare for reverse loop
mov eax, iters;
@addforyloop3:
movlpd xmm0, [ecx + eax];
addsd xmm7, xmm0;
add eax, srcLineWidth;
jnz @addforyloop3;
// build result
divsd xmm7, xmm6;
movlpd [ebx], xmm7;
pop ebx;
end;
end;
procedure ASMMatrixMeanColumnUnAlignedOddW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt);
var iters : TASMNativeInt;
begin
Assert((width and 1) = 1, 'Error width must be even');
assert((width > 0) and (height > 0) and (srcLineWidth >= width*sizeof(double)) and (destLineWidth >= width*sizeof(double)), 'Dimension error');
iters := -height*srcLineWidth;
asm
push ebx;
// helper registers for the mt1, mt2 and dest pointers
mov ecx, src;
sub ecx, iters;
mov ebx, dest;
{$IFDEF FPC}
mov eax, height;
cvtsi2sd xmm5, eax;
{$ELSE}
cvtsi2sd xmm5, height;
{$ENDIF}
movddup xmm6, xmm5;
// for x := 0 to width - 1:
mov edx, Width;
sar edx, 1;
jz @lastColumn;
@@addforxloop:
xorpd xmm7, xmm7;
// for y := 0 to height - 1;
// prepare for reverse loop
mov eax, iters;
@addforyloop:
movupd xmm0, [ecx + eax];
addpd xmm7, xmm0;
add eax, srcLineWidth;
jnz @addforyloop;
// build result
divpd xmm7, xmm6;
movupd [ebx], xmm7;
// next columns:
add ecx, 16;
add ebx, 16;
// loop x end
dec edx;
jnz @@addforxloop;
@lastColumn:
// handle last column
xorpd xmm7, xmm7;
// for y := 0 to height - 1;
// prepare for reverse loop
mov eax, iters;
@addforyloop3:
movlpd xmm0, [ecx + eax];
addsd xmm7, xmm0;
add eax, srcLineWidth;
jnz @addforyloop3;
// build result
divsd xmm7, xmm6;
movlpd [ebx], xmm7;
pop ebx;
end;
end;
// ###########################################
// #### Variance calculation
// ###########################################
const cOnes : Array[0..1] of double = (1, 1);
cOne : double = 1;
procedure ASMMatrixVarRowAlignedEvenW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt; unbiased : boolean);
var iters : TASMNativeInt;
begin
Assert((Cardinal(Src) and $0000000F = 0) and ((srcLineWidth and $0000000F) = 0) and
(Cardinal(dest) and $0000000F = 0) and ((destLineWidth and $0000000F) = 0), 'Error non aligned data');
Assert((width and 1) = 0, 'Error width must be even');
assert((width > 0) and (height > 0) and (srcLineWidth >= width*sizeof(double)) and (destLineWidth >= sizeof(double)), 'Dimension error');
iters := -width*sizeof(double);
asm
push ebx;
// helper registers for the mt1, mt2 and dest pointers
mov ecx, src;
sub ecx, iters;
mov ebx, dest;
{$IFDEF FPC}
mov eax, width;
cvtsi2sd xmm5, eax;
{$ELSE}
cvtsi2sd xmm5, width;
{$ENDIF}
// for y := 0 to height - 1:
mov edx, 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 eax, iters;
@addforxloop:
add eax, 128;
jg @loopEnd;
// prefetch data...
// prefetch [ecx + eax];
// addition:
addpd xmm0, [ecx + eax - 128];
addpd xmm1, [ecx + eax - 112];
addpd xmm2, [ecx + eax - 96];
addpd xmm3, [ecx + eax - 80];
addpd xmm0, [ecx + eax - 64];
addpd xmm1, [ecx + eax - 48];
addpd xmm2, [ecx + eax - 32];
addpd xmm3, [ecx + eax - 16];
jmp @addforxloop
@loopEnd:
sub eax, 128;
jz @buildRes;
@addforxloop2:
addpd xmm0, [ecx + eax];
add eax, 16;
jnz @addforxloop2;
@buildRes:
addpd xmm0, xmm1;
addpd xmm2, xmm3;
addpd xmm0, xmm2;
// build result
movhlps xmm1, xmm0;
addsd xmm0, xmm1;
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 eax, iters;
@addforxloop3:
add eax, 128;
jg @loopEnd2;
// prefetch data...
// prefetch [ecx + eax];
// addition:
movapd xmm1, [ecx + eax - 128];
movapd xmm2, [ecx + eax - 112];
subpd xmm1, xmm4;
subpd xmm2, xmm4;
mulpd xmm1, xmm1;
mulpd xmm2, xmm2;
addpd xmm0, xmm1;
addpd xmm0, xmm2;
movapd xmm1, [ecx + eax - 96];
movapd xmm2, [ecx + eax - 80];
subpd xmm1, xmm4;
subpd xmm2, xmm4;
mulpd xmm1, xmm1;
mulpd xmm2, xmm2;
addpd xmm0, xmm1;
addpd xmm0, xmm2;
movapd xmm1, [ecx + eax - 64];
movapd xmm2, [ecx + eax - 48];
subpd xmm1, xmm4;
subpd xmm2, xmm4;
mulpd xmm1, xmm1;
mulpd xmm2, xmm2;
addpd xmm0, xmm1;
addpd xmm0, xmm2;
movapd xmm1, [ecx + eax - 32];
movapd xmm2, [ecx + eax - 16];
subpd xmm1, xmm4;
subpd xmm2, xmm4;
mulpd xmm1, xmm1;
mulpd xmm2, xmm2;
addpd xmm0, xmm1;
addpd xmm0, xmm2;
jmp @addforxloop3
@loopEnd2:
sub eax, 128;
jz @buildRes2;
@addforxloop4:
movapd xmm1, [ecx + eax];
subpd xmm1, xmm4;
mulpd xmm1, xmm1;
addpd xmm0, xmm1;
add eax, 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, cOne;
maxsd xmm4, cOne;
divsd xmm0, xmm4;
jmp @@writeRes;
@@dobiased:
divsd xmm0, xmm5;
// write result
@@writeRes:
movlpd [ebx], xmm0;
// next line:
add ecx, srcLineWidth;
add ebx, destLineWidth;
// loop y end
dec edx;
jnz @@addforyloop;
pop ebx;
end;
end;
procedure ASMMatrixVarRowUnAlignedEvenW(dest : PDouble; const destLineWidth : TASMNativeInt; Src : PDouble; const srcLineWidth : TASMNativeInt; width, height : TASMNativeInt; unbiased : boolean);
var iters : TASMNativeInt;
begin
Assert((width and 1) = 0, 'Error width must be even');
assert((width > 0) and (height > 0) and (srcLineWidth >= width*sizeof(double)) and (destLineWidth >= sizeof(double)), 'Dimension error');
iters := -width*sizeof(double);
asm
push ebx;
// helper registers for the mt1, mt2 and dest pointers
mov ecx, src;
sub ecx, iters;
mov ebx, dest;
{$IFDEF FPC}
mov eax, width;
cvtsi2sd xmm5, eax;
{$ELSE}
cvtsi2sd xmm5, width;
{$ENDIF}
// for y := 0 to height - 1:
mov edx, Height;
@@addforyloop:
xorpd xmm7, xmm7;
// for x := 0 to w - 1;
// prepare for reverse loop
mov eax, iters;
@addforxloop:
add eax, 128;
jg @loopEnd;
// addition:
movupd xmm0, [ecx + eax - 128];
addpd xmm7, xmm0;
movupd xmm1, [ecx + eax - 112];
addpd xmm7, xmm1;
movupd xmm2, [ecx + eax - 96];
addpd xmm7, xmm2;
movupd xmm3, [ecx + eax - 80];
addpd xmm7, xmm3;
movupd xmm0, [ecx + eax - 64];
addpd xmm7, xmm0;
movupd xmm1, [ecx + eax - 48];
addpd xmm7, xmm1;
movupd xmm2, [ecx + eax - 32];
addpd xmm7, xmm2;
movupd xmm3, [ecx + eax - 16];
addpd xmm7, xmm3;
jmp @addforxloop
@loopEnd:
sub eax, 128;
jz @buildRes;
@addforxloop2:
movupd xmm0, [ecx + eax];
addpd xmm7, xmm0;
add eax, 16;
jnz @addforxloop2;
@buildRes:
// build result
movhlps xmm1, xmm7;
addsd xmm7, xmm1;
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 eax, iters;
@addforxloop3:
add eax, 128;
jg @loopEnd2;
// prefetch data...
// prefetch [ecx + eax];
// addition:
movupd xmm1, [ecx + eax - 128];
movupd xmm2, [ecx + eax - 112];
subpd xmm1, xmm4;
subpd xmm2, xmm4;
mulpd xmm1, xmm1;
mulpd xmm2, xmm2;
addpd xmm0, xmm1;
addpd xmm0, xmm2;