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AVXMatrixMeanOperationsx64.pas
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AVXMatrixMeanOperationsx64.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 AVXMatrixMeanOperationsx64;
interface
{$I 'mrMath_CPU.inc'}
{$IFDEF x64}
uses MatrixConst;
procedure AVXMatrixMeanRowAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXMatrixMeanRowUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXMatrixMeanColumnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXMatrixMeanColumnUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXMatrixVarRowAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt; unbiased : boolean); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXMatrixVarRowUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt; unbiased : boolean); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXMatrixVarColumnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt; unbiased : boolean); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXMatrixVarColumnUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt; unbiased : boolean); {$IFDEF FPC}assembler;{$ENDIF}
// combined methods
procedure AVXMatrixMeanVarRowAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt; unbiased : boolean); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXMatrixMeanVarRowUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt; unbiased : boolean); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXMatrixMeanVarColumnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt; unbiased : boolean); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXMatrixMeanVarColumnUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt; unbiased : boolean); {$IFDEF FPC}assembler;{$ENDIF}
{$ENDIF}
implementation
{$IFDEF x64}
procedure AVXMatrixMeanRowAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt); {$IFDEF FPC}assembler;{$ENDIF}
{$ifdef UNIX}
var width : NativeInt;
height : NativeInt;
{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov width, r8;
mov height, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// note: RCX = dest, RDX = destLineWidth, R8 = src, R9 = srcLineWidth
// prolog
// iters := -width*sizeof(double)
mov r10, width;
imul r10, -8;
// helper registers for the mt1, mt2 and dest pointers
sub r8, r10;
// fpc seems to have a problem with this opcode
{$IFDEF FPC}
mov rax, width;
{$IFDEF AVXSUP}vcvtsi2sd xmm3, xmm3, rax; {$ELSE}db $C4,$E1,$E3,$2A,$D8;{$ENDIF}
{$ELSE}
cvtsi2sd xmm3, width;
{$ENDIF}
// for y := 0 to height - 1:
mov r11, Height;
@@addforyloop:
{$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;{$ENDIF}
// for x := 0 to w - 1;
// prepare for reverse loop
mov rax, r10;
@addforxloop:
add rax, 128;
jg @loopEnd;
// prefetch data...
// prefetch [r8 + rax];
// addition:
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, [r8 + rax - 128]; {$ELSE}db $C4,$C1,$7D,$58,$44,$00,$80;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, [r8 + rax - 96]; {$ELSE}db $C4,$C1,$75,$58,$4C,$00,$A0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, [r8 + rax - 64]; {$ELSE}db $C4,$C1,$7D,$58,$44,$00,$C0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, [r8 + rax - 32]; {$ELSE}db $C4,$C1,$75,$58,$4C,$00,$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;{$ENDIF}
sub rax, 128;
jz @buildRes;
@addforxloop2:
add rax, 16;
jg @@addforxloop2end;
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, [r8 + rax - 16]; {$ELSE}db $C4,$C1,$79,$58,$44,$00,$F0;{$ENDIF}
jmp @addforxloop2;
@@addforxloop2end:
sub rax, 16;
jz @buildRes;
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$58,$04,$00;{$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;{$ENDIF}
// write result
{$IFDEF AVXSUP}vmovsd [rcx], xmm0; {$ELSE}db $C5,$FB,$11,$01;{$ENDIF}
// next line:
add r8, r9;
add rcx, rdx;
// loop y end
dec r11;
jnz @@addforyloop;
// epilog
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
end;
procedure AVXMatrixMeanRowUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt); {$IFDEF FPC}assembler;{$ENDIF}
{$ifdef UNIX}
var width : NativeInt;
height : NativeInt;
{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov width, r8;
mov height, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// note: RCX = dest, RDX = destLineWidth, R8 = src, R9 = srcLineWidth
// prolog
// iters := -width*sizeof(double)
mov r10, width;
imul r10, -8;
// helper registers for the mt1, mt2 and dest pointers
sub r8, r10;
// fpc seems to have a problem with this opcode
{$IFDEF FPC}
mov rax, width;
{$IFDEF AVXSUP}vcvtsi2sd xmm3, xmm3, rax; {$ELSE}db $C4,$E1,$E3,$2A,$D8;{$ENDIF}
{$ELSE}
cvtsi2sd xmm3, width;
{$ENDIF}
// for y := 0 to height - 1:
mov r11, Height;
@@addforyloop:
{$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;{$ENDIF}
// for x := 0 to w - 1;
// prepare for reverse loop
mov rax, r10;
@addforxloop:
add rax, 128;
jg @loopEnd;
// prefetch data...
// prefetch [r8 + rax];
// addition:
{$IFDEF AVXSUP}vmovupd ymm2, [r8 + rax - 128]; {$ELSE}db $C4,$C1,$7D,$10,$54,$00,$80;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm2; {$ELSE}db $C5,$FD,$58,$C2;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm2, [r8 + rax - 96]; {$ELSE}db $C4,$C1,$7D,$10,$54,$00,$A0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$58,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm2, [r8 + rax - 64]; {$ELSE}db $C4,$C1,$7D,$10,$54,$00,$C0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm2; {$ELSE}db $C5,$FD,$58,$C2;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm2, [r8 + rax - 32]; {$ELSE}db $C4,$C1,$7D,$10,$54,$00,$E0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$58,$CA;{$ENDIF}
jmp @addforxloop
@loopEnd:
{$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;{$ENDIF}
sub rax, 128;
jz @buildRes;
@addforxloop2:
add rax, 16;
jg @@addforxloop2end;
{$IFDEF AVXSUP}vmovupd xmm2, [r8 + rax - 16]; {$ELSE}db $C4,$C1,$79,$10,$54,$00,$F0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$58,$C2;{$ENDIF}
jmp @addforxloop2;
@@addforxloop2end:
sub rax, 16;
jz @buildRes;
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$58,$04,$00;{$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;{$ENDIF}
// write result
{$IFDEF AVXSUP}vmovsd [rcx], xmm0; {$ELSE}db $C5,$FB,$11,$01;{$ENDIF}
// next line:
add r8, r9;
add rcx, rdx;
// loop y end
dec r11;
jnz @@addforyloop;
// epilog
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
end;
procedure AVXMatrixMeanColumnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt); {$IFDEF FPC}assembler;{$ENDIF}
var tmp : double;
{$ifdef UNIX}
width : NativeInt;
height : NativeInt;
{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov width, r8;
mov height, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// note: RCX = dest, RDX = destLineWidth, R8 = src, R9 = srcLineWidth
xor r10, r10;
sub r10, height;
imul r10, r9;
// helper registers for the mt1, mt2 and dest pointers
sub r8, r10;
// fpc seems to have a problem with this opcode
{$IFDEF FPC}
mov rax, height;
{$IFDEF AVXSUP}vcvtsi2sd xmm0, xmm0, rax; {$ELSE}db $C4,$E1,$FB,$2A,$C0;{$ENDIF}
{$ELSE}
cvtsi2sd xmm0, height;
{$ENDIF}
lea rax, tmp;
{$IFDEF AVXSUP}vmovsd [rax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
{$IFDEF AVXSUP}vbroadcastsd ymm2, [rax]; {$ELSE}db $C4,$E2,$7D,$19,$10;{$ENDIF} // vbroadcastsd ymm2, xmm0; // avx2
// for x := 0 to width - 1:
mov r11, Width;
sub r11, 4;
jl @@addforxloop4end;
// 4 columns at once
@@addforxloop4:
{$IFDEF AVXSUP}vxorpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$57,$C9;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov rax, r10;
@addforyloop4:
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, [r8 + rax]; {$ELSE}db $C4,$C1,$75,$58,$0C,$00;{$ENDIF}
add rax, r9;
jnz @addforyloop4;
// build result
{$IFDEF AVXSUP}vdivpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$5E,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovapd [rcx], ymm1; {$ELSE}db $C5,$FD,$29,$09;{$ENDIF}
// next columns:
add rcx, 32;
add r8, 32;
// loop x end
sub r11, 4;
jge @@addforxloop4;
@@addforxloop4end:
add r11, 4;
jz @@endProc;
sub r11, 2;
jl @@lastcolumn;
{$IFDEF AVXSUP}vxorpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$57,$C9;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov rax, r10;
@addforyloop2:
{$IFDEF AVXSUP}vaddpd xmm1, xmm1, [r8 + rax]; {$ELSE}db $C4,$C1,$71,$58,$0C,$00;{$ENDIF}
add rax, r9;
jnz @addforyloop2;
// build result
{$IFDEF AVXSUP}vdivpd xmm1, xmm1, xmm2; {$ELSE}db $C5,$F1,$5E,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovapd [rcx], xmm1; {$ELSE}db $C5,$F9,$29,$09;{$ENDIF}
// next columns:
add rcx, 16;
add r8, 16;
dec r11;
jnz @@endProc;
@@lastcolumn:
{$IFDEF AVXSUP}vxorpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$57,$C9;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov rax, r10;
@addforyloop:
{$IFDEF AVXSUP}vaddsd xmm1, xmm1, [r8 + rax]; {$ELSE}db $C4,$C1,$73,$58,$0C,$00;{$ENDIF}
add rax, r9;
jnz @addforyloop;
// build result
{$IFDEF AVXSUP}vdivsd xmm1, xmm1, xmm2; {$ELSE}db $C5,$F3,$5E,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm1; {$ELSE}db $C5,$FB,$11,$09;{$ENDIF}
@@endProc:
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
end;
procedure AVXMatrixMeanColumnUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt); {$IFDEF FPC}assembler;{$ENDIF}
var tmp : double; // for broadcastsd
{$ifdef UNIX}
width : NativeInt;
height : NativeInt;
{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov width, r8;
mov height, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// note: RCX = dest, RDX = destLineWidth, R8 = src, R9 = srcLineWidth
xor r10, r10;
sub r10, height;
imul r10, r9;
// helper registers for the mt1, mt2 and dest pointers
sub r8, r10;
// fpc seems to have a problem with this opcode
{$IFDEF FPC}
mov rax, height;
{$IFDEF AVXSUP}vcvtsi2sd xmm0, xmm0, rax; {$ELSE}db $C4,$E1,$FB,$2A,$C0;{$ENDIF}
{$ELSE}
cvtsi2sd xmm0, height;
{$ENDIF}
lea rax, tmp;
{$IFDEF AVXSUP}vmovsd [rax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
{$IFDEF AVXSUP}vbroadcastsd ymm2, [rax]; {$ELSE}db $C4,$E2,$7D,$19,$10;{$ENDIF}
// for x := 0 to width - 1:
mov r11, Width;
sub r11, 4;
jl @@addforxloop4end;
// 4 columns at once
@@addforxloop4:
{$IFDEF AVXSUP}vxorpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$57,$C9;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov rax, r10;
@addforyloop4:
{$IFDEF AVXSUP}vmovupd ymm0, [r8 + rax]; {$ELSE}db $C4,$C1,$7D,$10,$04,$00;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm0; {$ELSE}db $C5,$F5,$58,$C8;{$ENDIF}
add rax, r9;
jnz @addforyloop4;
// build result
{$IFDEF AVXSUP}vdivpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$5E,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovapd [rcx], ymm1; {$ELSE}db $C5,$FD,$29,$09;{$ENDIF}
// next columns:
add rcx, 32;
add r8, 32;
// loop x end
sub r11, 4;
jge @@addforxloop4;
@@addforxloop4end:
add r11, 4;
jz @@endProc;
sub r11, 2;
jl @@lastcolumn;
{$IFDEF AVXSUP}vxorpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$57,$C9;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov rax, r10;
@addforyloop2:
{$IFDEF AVXSUP}vmovupd xmm0, [r8 + rax]; {$ELSE}db $C4,$C1,$79,$10,$04,$00;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm1, xmm1, [r8 + rax]; {$ELSE}db $C4,$C1,$71,$58,$0C,$00;{$ENDIF}
add rax, r9;
jnz @addforyloop2;
// build result
{$IFDEF AVXSUP}vdivpd xmm1, xmm1, xmm2; {$ELSE}db $C5,$F1,$5E,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rcx], xmm1; {$ELSE}db $C5,$F9,$11,$09;{$ENDIF}
// next columns:
add rcx, 16;
add r8, 16;
dec r11;
jnz @@endProc;
@@lastcolumn:
{$IFDEF AVXSUP}vxorpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$57,$C9;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov rax, r10;
@addforyloop:
{$IFDEF AVXSUP}vaddsd xmm1, xmm1, [r8 + rax]; {$ELSE}db $C4,$C1,$73,$58,$0C,$00;{$ENDIF}
add rax, r9;
jnz @addforyloop;
// build result
{$IFDEF AVXSUP}vdivsd xmm1, xmm1, xmm2; {$ELSE}db $C5,$F3,$5E,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm1; {$ELSE}db $C5,$FB,$11,$09;{$ENDIF}
@@endProc:
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
end;
// ###########################################
// #### Variance calculation
// ###########################################
procedure AVXMatrixVarRowAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt; unbiased : boolean); {$IFDEF FPC}assembler;{$ENDIF}
var tmp : double;
{$ifdef UNIX}
width : NativeInt;
height : NativeInt;
{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov width, r8;
mov height, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// note: RCX = dest, RDX = destLineWidth, R8 = src, R9 = srcLineWidth
// prolog
sub rsp, $10;
{$IFDEF AVXSUP}vmovupd [rsp + $00], xmm4; {$ELSE}db $C5,$F9,$11,$24,$24;{$ENDIF}
// iters := -width*sizeof(double)
mov r10, width;
shl r10, 3;
imul r10, -1;
// helper registers for the mt1, mt2 and dest pointers
sub r8, r10;
// fpc seems to have a problem with this opcode
{$IFDEF FPC}
mov rax, width;
{$IFDEF AVXSUP}vcvtsi2sd xmm3, xmm3, rax; {$ELSE}db $C4,$E1,$E3,$2A,$D8;{$ENDIF}
{$ELSE}
cvtsi2sd xmm3, width;
{$ENDIF}
// for y := 0 to height - 1:
mov r11, Height;
@@addforyloop:
{$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;{$ENDIF}
// for x := 0 to w - 1;
// prepare for reverse loop
mov rax, r10;
@addforxloop:
add rax, 128;
jg @loopEnd;
// prefetch data...
// prefetch [r8 + rax];
// addition:
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, [r8 + rax - 128]; {$ELSE}db $C4,$C1,$7D,$58,$44,$00,$80;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, [r8 + rax - 96]; {$ELSE}db $C4,$C1,$75,$58,$4C,$00,$A0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, [r8 + rax - 64]; {$ELSE}db $C4,$C1,$7D,$58,$44,$00,$C0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, [r8 + rax - 32]; {$ELSE}db $C4,$C1,$75,$58,$4C,$00,$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;{$ENDIF}
sub rax, 128;
jz @buildRes;
@addforxloop2:
add rax, 16;
jg @@addforxloop2end;
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, [r8 + rax - 16]; {$ELSE}db $C4,$C1,$79,$58,$44,$00,$F0;{$ENDIF}
jmp @addforxloop2;
@@addforxloop2end:
sub rax, 16;
jz @buildRes;
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$58,$04,$00;{$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;{$ENDIF}
// we have calculated the mean ->
// repeat the loop to calculate the variance
lea rax, tmp;
{$IFDEF AVXSUP}vmovsd [rax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
{$IFDEF AVXSUP}vbroadcastsd ymm4, [rax]; {$ELSE}db $C4,$E2,$7D,$19,$20;{$ENDIF}
{$IFDEF AVXSUP}vxorpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$57,$C0;{$ENDIF}
// for x := 0 to w - 1;
// prepare for reverse loop
// variance = sum (x - mean)^2
mov rax, r10;
@addforxloop3:
add rax, 128;
jg @loopEnd2;
// prefetch data...
// prefetch [ecx + rax];
// addition:
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax - 128]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$80;{$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, [r8 + rax - 96]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$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, [r8 + rax - 64]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$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, [r8 + rax - 32]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$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;{$ENDIF}
jmp @addforxloop3
@loopEnd2:
sub rax, 128;
{$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;{$ENDIF}
jz @buildRes2;
@addforxloop4:
add rax, 16;
jg @addforxloop4end;
{$IFDEF AVXSUP}vmovapd xmm1, [r8 + rax - 16]; {$ELSE}db $C4,$C1,$79,$28,$4C,$00,$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;{$ENDIF}
jmp @addforxloop4;
@addforxloop4end:
sub rax, 16;
jz @buildRes2;
// last column
{$IFDEF AVXSUP}vmovsd xmm1, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$10,$0C,$00;{$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;{$ENDIF}
// check if we need to use the unbiased version
cmp unbiased, 0;
jz @@dobiased;
lea rax, [rip + cOne];
{$IFDEF AVXSUP}vmovsd xmm2, [rax]; {$ELSE}db $C5,$FB,$10,$10;{$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 [rcx], xmm0; {$ELSE}db $C5,$FB,$11,$01;{$ENDIF}
// next line:
add r8, r9;
add rcx, rdx;
// loop y end
dec r11;
jnz @@addforyloop;
// epilog
{$IFDEF AVXSUP}vmovupd xmm4, [rsp + $00]; {$ELSE}db $C5,$F9,$10,$24,$24;{$ENDIF}
add rsp, $10;
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
end;
procedure AVXMatrixVarRowUnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt; unbiased : boolean); {$IFDEF FPC}assembler;{$ENDIF}
var tmp : double;
{$ifdef UNIX}
width : NativeInt;
height : NativeInt;
{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov width, r8;
mov height, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// note: RCX = dest, RDX = destLineWidth, R8 = src, R9 = srcLineWidth
// prolog
sub rsp, $10;
{$IFDEF AVXSUP}vmovupd [rsp + $00], xmm4; {$ELSE}db $C5,$F9,$11,$24,$24;{$ENDIF}
// iters := -width*sizeof(double)
mov r10, width;
shl r10, 3;
imul r10, -1;
// helper registers for the mt1, mt2 and dest pointers
sub r8, r10;
// fpc seems to have a problem with this opcode
{$IFDEF FPC}
mov rax, width;
{$IFDEF AVXSUP}vcvtsi2sd xmm3, xmm3, rax; {$ELSE}db $C4,$E1,$E3,$2A,$D8;{$ENDIF}
{$ELSE}
cvtsi2sd xmm3, width;
{$ENDIF}
// for y := 0 to height - 1:
mov r11, Height;
@@addforyloop:
{$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;{$ENDIF}
// for x := 0 to w - 1;
// prepare for reverse loop
mov rax, r10;
@addforxloop:
add rax, 128;
jg @loopEnd;
// prefetch data...
// prefetch [r8 + rax];
// addition:
{$IFDEF AVXSUP}vmovupd ymm2, [r8 + rax - 128]; {$ELSE}db $C4,$C1,$7D,$10,$54,$00,$80;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm2; {$ELSE}db $C5,$FD,$58,$C2;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm2, [r8 + rax - 96]; {$ELSE}db $C4,$C1,$7D,$10,$54,$00,$A0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$58,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm2, [r8 + rax - 64]; {$ELSE}db $C4,$C1,$7D,$10,$54,$00,$C0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm2; {$ELSE}db $C5,$FD,$58,$C2;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm2, [r8 + rax - 32]; {$ELSE}db $C4,$C1,$7D,$10,$54,$00,$E0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$58,$CA;{$ENDIF}
jmp @addforxloop
@loopEnd:
{$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;{$ENDIF}
sub rax, 128;
jz @buildRes;
@addforxloop2:
add rax, 16;
jg @@addforxloop2end;
{$IFDEF AVXSUP}vmovupd xmm2, [r8 + rax - 16]; {$ELSE}db $C4,$C1,$79,$10,$54,$00,$F0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$58,$C2;{$ENDIF}
jmp @addforxloop2;
@@addforxloop2end:
sub rax, 16;
jz @buildRes;
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$58,$04,$00;{$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;{$ENDIF}
// we have calculated the mean ->
// repeat the loop to calculate the variance
lea rax, tmp;
{$IFDEF AVXSUP}vmovsd [rax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
{$IFDEF AVXSUP}vbroadcastsd ymm4, [rax]; {$ELSE}db $C4,$E2,$7D,$19,$20;{$ENDIF}
{$IFDEF AVXSUP}vxorpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$57,$C0;{$ENDIF}
// for x := 0 to w - 1;
// prepare for reverse loop
// variance = sum (x - mean)^2
mov rax, r10;
@addforxloop3:
add rax, 128;
jg @loopEnd2;
// prefetch data...
// prefetch [ecx + rax];
// addition:
{$IFDEF AVXSUP}vmovupd ymm1, [r8 + rax - 128]; {$ELSE}db $C4,$C1,$7D,$10,$4C,$00,$80;{$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, [r8 + rax - 96]; {$ELSE}db $C4,$C1,$7D,$10,$4C,$00,$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, [r8 + rax - 64]; {$ELSE}db $C4,$C1,$7D,$10,$4C,$00,$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, [r8 + rax - 32]; {$ELSE}db $C4,$C1,$7D,$10,$4C,$00,$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;{$ENDIF}
jmp @addforxloop3
@loopEnd2:
sub rax, 128;
{$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;{$ENDIF}
jz @buildRes2;
@addforxloop4:
add rax, 16;
jg @addforxloop4end;
{$IFDEF AVXSUP}vmovupd xmm1, [r8 + rax - 16]; {$ELSE}db $C4,$C1,$79,$10,$4C,$00,$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;{$ENDIF}
jmp @addforxloop4;
@addforxloop4end:
sub rax, 16;
jz @buildRes2;
// last column
{$IFDEF AVXSUP}vmovsd xmm1, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$10,$0C,$00;{$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;{$ENDIF}
// check if we need to use the unbiased version
cmp unbiased, 0;
jz @@dobiased;
lea rax, [rip + cOne];
{$IFDEF AVXSUP}vmovsd xmm2, [rax]; {$ELSE}db $C5,$FB,$10,$10;{$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 [rcx], xmm0; {$ELSE}db $C5,$FB,$11,$01;{$ENDIF}
// next line:
add r8, r9;
add rcx, rdx;
// loop y end
dec r11;
jnz @@addforyloop;
// epilog
{$IFDEF AVXSUP}vmovupd xmm4, [rsp + $00]; {$ELSE}db $C5,$F9,$10,$24,$24;{$ENDIF}
add rsp, $10;
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
end;
procedure AVXMatrixVarColumnAligned(dest : PDouble; const destLineWidth : NativeInt; Src : PDouble; const srcLineWidth : NativeInt; {$ifdef UNIX}unixWidth{$ELSE}width{$endif}, {$ifdef UNIX}unixHeight{$ELSE}height{$endif} : NativeInt; unbiased : boolean); {$IFDEF FPC}assembler;{$ENDIF}
var tmp : double;
{$ifdef UNIX}
width : NativeInt;
height : NativeInt;
{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov width, r8;
mov height, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// prolog
sub rsp, $20;
{$IFDEF AVXSUP}vmovupd [rsp + $00], xmm4; {$ELSE}db $C5,$F9,$11,$24,$24;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rsp + $10], xmm5; {$ELSE}db $C5,$F9,$11,$6C,$24,$10;{$ENDIF}
// note: RCX = dest, RDX = destLineWidth, R8 = src, R9 = srcLineWidth
xor r10, r10;
sub r10, height;
imul r10, r9;
// helper registers for the mt1, mt2 and dest pointers
sub r8, r10;
// fpc seems to have a problem with this opcode
{$IFDEF FPC}
mov rax, height;
{$IFDEF AVXSUP}vcvtsi2sd xmm0, xmm0, rax; {$ELSE}db $C4,$E1,$FB,$2A,$C0;{$ENDIF}
{$ELSE}
cvtsi2sd xmm0, height;
{$ENDIF}
lea rax, tmp;
{$IFDEF AVXSUP}vmovsd [rax], xmm0; {$ELSE}db $C5,$FB,$11,$00;{$ENDIF}
{$IFDEF AVXSUP}vbroadcastsd ymm2, [rax]; {$ELSE}db $C4,$E2,$7D,$19,$10;{$ENDIF} // vbroadcastsd ymm2, xmm0; // is avx2
lea rax, [rip + cOne];
{$IFDEF AVXSUP}vbroadcastsd ymm5, [rax]; {$ELSE}db $C4,$E2,$7D,$19,$28;{$ENDIF}
// for x := 0 to width - 1:
mov r11, Width;
sub r11, 4;
jl @@addforxloop4end;
// 4 columns at once
@@addforxloop4:
{$IFDEF AVXSUP}vxorpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$57,$C9;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov rax, r10;
@addforyloop4:
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, [r8 + rax]; {$ELSE}db $C4,$C1,$75,$58,$0C,$00;{$ENDIF}
add rax, r9;
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;{$ENDIF}
mov rax, r10;
@addforyloop4_2:
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax]; {$ELSE}db $C4,$C1,$7D,$28,$0C,$00;{$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}