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AVXMatrixNormOperationsx64.pas
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AVXMatrixNormOperationsx64.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 AVXMatrixNormOperationsx64;
interface
{$I 'mrMath_CPU.inc'}
{$IFDEF x64}
uses MatrixConst;
function AVXMatrixElementwiseNorm2Aligned(dest : PDouble; const LineWidth : NativeInt; Width, height : NativeInt) : double;
function AVXMatrixElementwiseNorm2UnAligned(dest : PDouble; const LineWidth : NativeInt; Width, height : NativeInt) : double;
procedure AVXMatrixNormalizeRowAligned(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 AVXMatrixNormalizeRowUnAligned(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 AVXMatrixNormalizeColumnAligned(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 AVXMatrixNormalizeColumnUnAligned(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}
{$ENDIF}
implementation
{$IFDEF x64}
function AVXMatrixElementwiseNorm2Aligned(dest : PDouble; const LineWidth : NativeInt; Width, height : NativeInt) : double; {$IFDEF FPC}assembler;{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// note: RCX = dest, RDX = destLineWidth, R8 = widh, R9 = height
// prolog - simulate stack
//iters := -width*sizeof(double);
imul r8, -8;
// helper registers for the mt1, mt2 and dest pointers
sub rcx, r8;
{$IFDEF AVXSUP}vxorpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$57,$C0;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$57,$C9;{$ENDIF}
mov r11, r9;
@@addforyloop:
// for x := 0 to w - 1;
// prepare for reverse loop
mov rax, r8;
@addforxloop:
add rax, 128;
jg @loopEnd;
// prefetch data...
// prefetch [rcx + rax];
// mul add:
{$IFDEF AVXSUP}vmovapd ymm3, [rcx + rax - 128]; {$ELSE}db $C5,$FD,$28,$5C,$01,$80;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm3; {$ELSE}db $C5,$E5,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm3; {$ELSE}db $C5,$F5,$58,$CB;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm2, [rcx + rax - 96]; {$ELSE}db $C5,$FD,$28,$54,$01,$A0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$59,$D2;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$58,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm3, [rcx + rax - 64]; {$ELSE}db $C5,$FD,$28,$5C,$01,$C0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm3; {$ELSE}db $C5,$E5,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm3; {$ELSE}db $C5,$F5,$58,$CB;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm2, [rcx + rax - 32]; {$ELSE}db $C5,$FD,$28,$54,$01,$E0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$59,$D2;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$58,$CA;{$ENDIF}
jmp @addforxloop
@loopEnd:
sub rax, 128;
jz @nextLine;
@addforxloop2:
add rax, 16;
jg @@addforxloop2end;
{$IFDEF AVXSUP}vmovapd xmm3, [rcx + rax - 16]; {$ELSE}db $C5,$F9,$28,$5C,$01,$F0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm3; {$ELSE}db $C5,$E1,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, xmm3; {$ELSE}db $C5,$F9,$58,$C3;{$ENDIF}
jmp @addforxloop2;
@@addforxloop2end:
sub rax, 16;
jz @nextLine;
{$IFDEF AVXSUP}vmovsd xmm3, [rcx + rax]; {$ELSE}db $C5,$FB,$10,$1C,$01;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm3, xmm3, xmm3; {$ELSE}db $C5,$E3,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$58,$C3;{$ENDIF}
@nextLine:
// next line:
add rcx, rdx;
// loop y end
dec r11;
jnz @@addforyloop;
// build result
{$IFDEF AVXSUP}vextractf128 xmm2, ymm1, 1; {$ELSE}db $C4,$E3,$7D,$19,$CA,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm1, xmm1, xmm2; {$ELSE}db $C5,$F1,$7C,$CA;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$58,$C1;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
// epilog claenup stack
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
end;
function AVXMatrixElementwiseNorm2UnAligned(dest : PDouble; const LineWidth : NativeInt; Width, height : NativeInt) : double; {$IFDEF FPC}assembler;{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// note: RCX = dest, RDX = destLineWidth, R8 = widh, R9 = height
// prolog - simulate stack
//iters := -width*sizeof(double);
imul r8, -8;
// helper registers for the mt1, mt2 and dest pointers
sub rcx, r8;
{$IFDEF AVXSUP}vxorpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$57,$C0;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$57,$C9;{$ENDIF}
mov r11, r9
@@addforyloop:
// for x := 0 to w - 1;
// prepare for reverse loop
mov rax, r8;
@addforxloop:
add rax, 128;
jg @loopEnd;
// prefetch data...
// prefetch [rcx + rax];
// mul add:
{$IFDEF AVXSUP}vmovupd ymm3, [rcx + rax - 128]; {$ELSE}db $C5,$FD,$10,$5C,$01,$80;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm3; {$ELSE}db $C5,$E5,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm3; {$ELSE}db $C5,$F5,$58,$CB;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm2, [rcx + rax - 96]; {$ELSE}db $C5,$FD,$10,$54,$01,$A0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$59,$D2;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$58,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm3, [rcx + rax - 64]; {$ELSE}db $C5,$FD,$10,$5C,$01,$C0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm3; {$ELSE}db $C5,$E5,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm3; {$ELSE}db $C5,$F5,$58,$CB;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm2, [rcx + rax - 32]; {$ELSE}db $C5,$FD,$10,$54,$01,$E0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$59,$D2;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$58,$CA;{$ENDIF}
jmp @addforxloop
@loopEnd:
sub rax, 128;
jz @nextLine;
@addforxloop2:
add rax, 16;
jg @@addforxloop2end;
{$IFDEF AVXSUP}vmovupd xmm3, [rcx + rax - 16]; {$ELSE}db $C5,$F9,$10,$5C,$01,$F0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm3; {$ELSE}db $C5,$E1,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, xmm3; {$ELSE}db $C5,$F9,$58,$C3;{$ENDIF}
jmp @addforxloop2;
@@addforxloop2end:
sub rax, 16;
jz @nextLine;
{$IFDEF AVXSUP}vmovsd xmm3, [rcx + rax]; {$ELSE}db $C5,$FB,$10,$1C,$01;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm3, xmm3, xmm3; {$ELSE}db $C5,$E3,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$58,$C3;{$ENDIF}
@nextLine:
// next line:
add rcx, rdx;
// loop y end
dec r11;
jnz @@addforyloop;
// build result
{$IFDEF AVXSUP}vextractf128 xmm2, ymm1, 1; {$ELSE}db $C4,$E3,$7D,$19,$CA,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm1, xmm1, xmm2; {$ELSE}db $C5,$F1,$7C,$CA;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$58,$C1;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
// epilog claenup stack
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
end;
procedure AVXMatrixNormalizeRowAligned(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 = widh, R9 = height
// prolog - simulate stack
//iters := -width*sizeof(double);
mov r10, width;
imul r10, -8;
// helper registers for the mt1, mt2 and dest pointers
sub rcx, r10;
sub r8, r10;
mov r11, height;
@@addforyloop:
{$IFDEF AVXSUP}vxorpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$57,$C0;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$57,$C9;{$ENDIF}
// for x := 0 to w - 1;
// prepare for reverse loop
mov rax, r10;
@addforxloop:
add rax, 128;
jg @loopEnd;
// prefetch data...
// prefetch [rcx + rax];
// mul add:
{$IFDEF AVXSUP}vmovapd ymm3, [r8 + rax - 128]; {$ELSE}db $C4,$C1,$7D,$28,$5C,$00,$80;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm3; {$ELSE}db $C5,$E5,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm3; {$ELSE}db $C5,$F5,$58,$CB;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm2, [r8 + rax - 96]; {$ELSE}db $C4,$C1,$7D,$28,$54,$00,$A0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$59,$D2;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$58,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm3, [r8 + rax - 64]; {$ELSE}db $C4,$C1,$7D,$28,$5C,$00,$C0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm3; {$ELSE}db $C5,$E5,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm3; {$ELSE}db $C5,$F5,$58,$CB;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm2, [r8 + rax - 32]; {$ELSE}db $C4,$C1,$7D,$28,$54,$00,$E0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$59,$D2;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$58,$CA;{$ENDIF}
jmp @addforxloop
@loopEnd:
sub rax, 128;
jz @nextLine;
@addforxloop2:
add rax, 16;
jg @@addforxloop2end;
{$IFDEF AVXSUP}vmovapd xmm3, [r8 + rax - 16]; {$ELSE}db $C4,$C1,$79,$28,$5C,$00,$F0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm3; {$ELSE}db $C5,$E1,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, xmm3; {$ELSE}db $C5,$F9,$58,$C3;{$ENDIF}
jmp @addforxloop2;
@@addforxloop2end:
sub rax, 16;
jz @nextLine;
{$IFDEF AVXSUP}vmovsd xmm3, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$10,$1C,$00;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm3, xmm3, xmm3; {$ELSE}db $C5,$E3,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$58,$C3;{$ENDIF}
@nextLine:
// build result
{$IFDEF AVXSUP}vextractf128 xmm2, ymm1, 1; {$ELSE}db $C4,$E3,$7D,$19,$CA,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm1, xmm1, xmm2; {$ELSE}db $C5,$F1,$7C,$CA;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$58,$C1;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
// build result
{$IFDEF AVXSUP}vsqrtsd xmm0, xmm0, xmm0; {$ELSE}db $C5,$FB,$51,$C0;{$ENDIF}
//1/sqrt(norm)
lea rax, [rip + cOne];
{$IFDEF AVXSUP}vmovsd xmm1, [rax]; {$ELSE}db $C5,$FB,$10,$08;{$ENDIF}
{$IFDEF AVXSUP}vdivsd xmm1, xmm1, xmm0; {$ELSE}db $C5,$F3,$5E,$C8;{$ENDIF}
lea rax, tmp;
{$IFDEF AVXSUP}vmovsd [rax], xmm1; {$ELSE}db $C5,$FB,$11,$08;{$ENDIF}
{$IFDEF AVXSUP}vbroadcastsd ymm2, [rax]; {$ELSE}db $C4,$E2,$7D,$19,$10;{$ENDIF} // need avx2
// normalize
mov rax, r10;
@addforxloop3:
add rax, 128;
jg @loopEnd2;
// prefetch data...
// prefetch [r8 + rax];
// prefetchw [rcx + rax];
// mult:
{$IFDEF AVXSUP}vmovapd ymm0, [r8 + rax - 128]; {$ELSE}db $C4,$C1,$7D,$28,$44,$00,$80;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm0, ymm0, ymm2; {$ELSE}db $C5,$FD,$59,$C2;{$ENDIF}
{$IFDEF AVXSUP}vmovapd [rcx + rax - 128], ymm0; {$ELSE}db $C5,$FD,$29,$44,$01,$80;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax - 96]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$A0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$59,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovapd [rcx + rax - 96], ymm1; {$ELSE}db $C5,$FD,$29,$4C,$01,$A0;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm0, [r8 + rax - 64]; {$ELSE}db $C4,$C1,$7D,$28,$44,$00,$C0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm0, ymm0, ymm2; {$ELSE}db $C5,$FD,$59,$C2;{$ENDIF}
{$IFDEF AVXSUP}vmovapd [rcx + rax - 64], ymm0; {$ELSE}db $C5,$FD,$29,$44,$01,$C0;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax - 32]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$E0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$59,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovapd [rcx + rax - 32], ymm1; {$ELSE}db $C5,$FD,$29,$4C,$01,$E0;{$ENDIF}
jmp @addforxloop3
@loopEnd2:
sub rax, 128;
jz @nextLine2;
@addforxloop4:
add rax, 16;
jg @addforxloop4end;
{$IFDEF AVXSUP}vmovapd xmm0, [r8 + rax - 16]; {$ELSE}db $C4,$C1,$79,$28,$44,$00,$F0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$59,$C2;{$ENDIF}
{$IFDEF AVXSUP}vmovapd [rcx + rax - 16], xmm0; {$ELSE}db $C5,$F9,$29,$44,$01,$F0;{$ENDIF}
jmp @addforxloop4;
@addforxloop4end:
sub rax, 16;
jz @nextLine2;
{$IFDEF AVXSUP}vmovsd xmm0, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$10,$04,$00;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm0, xmm0, xmm2; {$ELSE}db $C5,$FB,$59,$C2;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx + rax], xmm0; {$ELSE}db $C5,$FB,$11,$04,$01;{$ENDIF}
@nextLine2:
// next line:
add rcx, rdx;
add r8, r9;
// loop y end
dec r11;
jnz @@addforyloop;
// epilog claenup stack
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
end;
procedure AVXMatrixNormalizeRowUnAligned(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 = widh, R9 = height
// prolog - simulate stack
//iters := -width*sizeof(double);
mov r10, width;
imul r10, -8;
// helper registers for the mt1, mt2 and dest pointers
sub rcx, r10;
sub r8, r10;
mov r11, height;
@@addforyloop:
{$IFDEF AVXSUP}vxorpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$57,$C0;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$57,$C9;{$ENDIF}
// for x := 0 to w - 1;
// prepare for reverse loop
mov rax, r10;
@addforxloop:
add rax, 128;
jg @loopEnd;
// prefetch data...
// prefetch [rcx + rax];
// mul add:
{$IFDEF AVXSUP}vmovupd ymm3, [r8 + rax - 128]; {$ELSE}db $C4,$C1,$7D,$10,$5C,$00,$80;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm3; {$ELSE}db $C5,$E5,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm3; {$ELSE}db $C5,$F5,$58,$CB;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm2, [r8 + rax - 96]; {$ELSE}db $C4,$C1,$7D,$10,$54,$00,$A0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$59,$D2;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$58,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm3, [r8 + rax - 64]; {$ELSE}db $C4,$C1,$7D,$10,$5C,$00,$C0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm3; {$ELSE}db $C5,$E5,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm3; {$ELSE}db $C5,$F5,$58,$CB;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm2, [r8 + rax - 32]; {$ELSE}db $C4,$C1,$7D,$10,$54,$00,$E0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$59,$D2;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$58,$CA;{$ENDIF}
jmp @addforxloop
@loopEnd:
sub rax, 128;
jz @nextLine;
@addforxloop2:
add rax, 16;
jg @@addforxloop2end;
{$IFDEF AVXSUP}vmovupd xmm3, [r8 + rax - 16]; {$ELSE}db $C4,$C1,$79,$10,$5C,$00,$F0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm3; {$ELSE}db $C5,$E1,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, xmm3; {$ELSE}db $C5,$F9,$58,$C3;{$ENDIF}
jmp @addforxloop2;
@@addforxloop2end:
sub rax, 16;
jz @nextLine;
{$IFDEF AVXSUP}vmovsd xmm3, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$10,$1C,$00;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm3, xmm3, xmm3; {$ELSE}db $C5,$E3,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$58,$C3;{$ENDIF}
@nextLine:
// build result
{$IFDEF AVXSUP}vextractf128 xmm2, ymm1, 1; {$ELSE}db $C4,$E3,$7D,$19,$CA,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm1, xmm1, xmm2; {$ELSE}db $C5,$F1,$7C,$CA;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$58,$C1;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
// build result
{$IFDEF AVXSUP}vsqrtsd xmm0, xmm0, xmm0; {$ELSE}db $C5,$FB,$51,$C0;{$ENDIF}
//1/sqrt(norm)
lea rax, [rip + cOne];
{$IFDEF AVXSUP}vmovsd xmm1, [rax]; {$ELSE}db $C5,$FB,$10,$08;{$ENDIF}
{$IFDEF AVXSUP}vdivsd xmm1, xmm1, xmm0; {$ELSE}db $C5,$F3,$5E,$C8;{$ENDIF}
lea rax, tmp;
{$IFDEF AVXSUP}vmovsd [rax], xmm1; {$ELSE}db $C5,$FB,$11,$08;{$ENDIF}
{$IFDEF AVXSUP}vbroadcastsd ymm2, [rax]; {$ELSE}db $C4,$E2,$7D,$19,$10;{$ENDIF} // need avx2
// normalize
mov rax, r10;
@addforxloop3:
add rax, 128;
jg @loopEnd2;
// prefetch data...
// prefetch [r8 + rax];
// prefetchw [rcx + rax];
// mult:
{$IFDEF AVXSUP}vmovupd ymm0, [r8 + rax - 128]; {$ELSE}db $C4,$C1,$7D,$10,$44,$00,$80;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm0, ymm0, ymm2; {$ELSE}db $C5,$FD,$59,$C2;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rcx + rax - 128], ymm0; {$ELSE}db $C5,$FD,$11,$44,$01,$80;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm1, [r8 + rax - 96]; {$ELSE}db $C4,$C1,$7D,$10,$4C,$00,$A0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$59,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rcx + rax - 96], ymm1; {$ELSE}db $C5,$FD,$11,$4C,$01,$A0;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm0, [r8 + rax - 64]; {$ELSE}db $C4,$C1,$7D,$10,$44,$00,$C0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm0, ymm0, ymm2; {$ELSE}db $C5,$FD,$59,$C2;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rcx + rax - 64], ymm0; {$ELSE}db $C5,$FD,$11,$44,$01,$C0;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm1, [r8 + rax - 32]; {$ELSE}db $C4,$C1,$7D,$10,$4C,$00,$E0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm1, ymm1, ymm2; {$ELSE}db $C5,$F5,$59,$CA;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rcx + rax - 32], ymm1; {$ELSE}db $C5,$FD,$11,$4C,$01,$E0;{$ENDIF}
jmp @addforxloop3
@loopEnd2:
sub rax, 128;
jz @nextLine2;
@addforxloop4:
add rax, 16;
jg @addforxloop4end;
{$IFDEF AVXSUP}vmovupd xmm0, [r8 + rax - 16]; {$ELSE}db $C4,$C1,$79,$10,$44,$00,$F0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$59,$C2;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rcx + rax - 16], xmm0; {$ELSE}db $C5,$F9,$11,$44,$01,$F0;{$ENDIF}
jmp @addforxloop4;
@addforxloop4end:
sub rax, 16;
jz @nextLine2;
{$IFDEF AVXSUP}vmovsd xmm0, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$10,$04,$00;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm0, xmm0, xmm2; {$ELSE}db $C5,$FB,$59,$C2;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx + rax], xmm0; {$ELSE}db $C5,$FB,$11,$04,$01;{$ENDIF}
@nextLine2:
// next line:
add rcx, rdx;
add r8, r9;
// loop y end
dec r11;
jnz @@addforyloop;
// epilog claenup stack
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
end;
procedure AVXMatrixNormalizeColumnAligned(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 iRBX : NativeInt;
{$ifdef UNIX}
width : NativeInt;
height : NativeInt;
{$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
mov iRBX, rbx;
// note: RCX = dest, RDX = destLineWidth, R8 = src, R9 = srcLineWidth
xor r10, r10;
sub r10, height;
imul r10, r9;
// helper registers for the mt1 and dest pointers
sub r8, r10;
// 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}vmovapd ymm3, [r8 + rax]; {$ELSE}db $C4,$C1,$7D,$28,$1C,$00;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm3; {$ELSE}db $C5,$E5,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm3; {$ELSE}db $C5,$F5,$58,$CB;{$ENDIF}
add rax, r9;
jnz @addforyloop4;
// normalization factor
lea rax, [rip + cOne];
{$IFDEF AVXSUP}vbroadcastsd ymm2, [rax]; {$ELSE}db $C4,$E2,$7D,$19,$10;{$ENDIF}
{$IFDEF AVXSUP}vsqrtpd ymm1, ymm1; {$ELSE}db $C5,$FD,$51,$C9;{$ENDIF}
{$IFDEF AVXSUP}vdivpd ymm0, ymm2, ymm1; {$ELSE}db $C5,$ED,$5E,$C1;{$ENDIF}
// normalize
mov rax, r10;
xor rbx, rbx;
@addforyloop4_2:
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax]; {$ELSE}db $C4,$C1,$7D,$28,$0C,$00;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm1, ymm1, ymm0; {$ELSE}db $C5,$F5,$59,$C8;{$ENDIF}
{$IFDEF AVXSUP}vmovapd [rcx + rbx], ymm1; {$ELSE}db $C5,$FD,$29,$0C,$19;{$ENDIF}
add rbx, rdx;
add rax, r9;
jnz @addforyloop4_2;
// 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}vmovapd xmm0, [r8 + rax]; {$ELSE}db $C4,$C1,$79,$28,$04,$00;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$59,$C0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm1, xmm1, xmm0; {$ELSE}db $C5,$F1,$58,$C8;{$ENDIF}
add rax, r9;
jnz @addforyloop2;
// normalization factor
lea rax, [rip + cOne];
{$IFDEF AVXSUP}vmovddup xmm2, [rax]; {$ELSE}db $C5,$FB,$12,$10;{$ENDIF}
{$IFDEF AVXSUP}vsqrtpd xmm1, xmm1; {$ELSE}db $C5,$F9,$51,$C9;{$ENDIF}
{$IFDEF AVXSUP}vdivpd xmm0, xmm2, xmm1; {$ELSE}db $C5,$E9,$5E,$C1;{$ENDIF}
// normalize
mov rax, r10;
xor rbx, rbx;
@addforyloop2_2:
{$IFDEF AVXSUP}vmovapd xmm1, [r8 + rax]; {$ELSE}db $C4,$C1,$79,$28,$0C,$00;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm1, xmm1, xmm0; {$ELSE}db $C5,$F1,$59,$C8;{$ENDIF}
{$IFDEF AVXSUP}vmovapd [rcx + rbx], xmm1; {$ELSE}db $C5,$F9,$29,$0C,$19;{$ENDIF}
add rbx, rdx;
add rax, r9;
jnz @addforyloop2_2;
// 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;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov rax, r10;
@addforyloop_1:
{$IFDEF AVXSUP}vmovsd xmm0, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$10,$04,$00;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm0, xmm0, xmm0; {$ELSE}db $C5,$FB,$59,$C0;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm1, xmm1, xmm0; {$ELSE}db $C5,$F3,$58,$C8;{$ENDIF}
add rax, r9;
jnz @addforyloop_1;
// build result
lea rax, [rip + cOne];
{$IFDEF AVXSUP}vmovsd xmm2, [rax]; {$ELSE}db $C5,$FB,$10,$10;{$ENDIF}
{$IFDEF AVXSUP}vsqrtsd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F3,$51,$C9;{$ENDIF}
{$IFDEF AVXSUP}vdivsd xmm0, xmm2, xmm1; {$ELSE}db $C5,$EB,$5E,$C1;{$ENDIF}
// normalize last column
mov rax, r10;
xor rbx, rbx;
@addforyloop2_1:
{$IFDEF AVXSUP}vmovsd xmm1, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$10,$0C,$00;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm1, xmm1, xmm0; {$ELSE}db $C5,$F3,$59,$C8;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx + rbx], xmm1; {$ELSE}db $C5,$FB,$11,$0C,$19;{$ENDIF}
add rbx, rdx;
add rax, r9;
jnz @addforyloop2_1;
@@endProc:
// epilog
mov rbx, iRBX;
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
end;
procedure AVXMatrixNormalizeColumnUnAligned(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 iRBX : NativeInt;
{$ifdef UNIX}
width : NativeInt;
height : NativeInt;
{$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
mov iRBX, rbx;
// note: RCX = dest, RDX = destLineWidth, R8 = src, R9 = srcLineWidth
xor r10, r10;
sub r10, height;
imul r10, r9;
// helper registers for the mt1 and dest pointers
sub r8, r10;
// 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 ymm3, [r8 + rax]; {$ELSE}db $C4,$C1,$7D,$10,$1C,$00;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm3; {$ELSE}db $C5,$E5,$59,$DB;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm1, ymm1, ymm3; {$ELSE}db $C5,$F5,$58,$CB;{$ENDIF}
add rax, r9;
jnz @addforyloop4;
// normalization factor
lea rax, [rip + cOne];
{$IFDEF AVXSUP}vbroadcastsd ymm2, [rax]; {$ELSE}db $C4,$E2,$7D,$19,$10;{$ENDIF}
{$IFDEF AVXSUP}vsqrtpd ymm1, ymm1; {$ELSE}db $C5,$FD,$51,$C9;{$ENDIF}
{$IFDEF AVXSUP}vdivpd ymm0, ymm2, ymm1; {$ELSE}db $C5,$ED,$5E,$C1;{$ENDIF}
// normalize
mov rax, r10;
xor rbx, rbx;
@addforyloop4_2:
{$IFDEF AVXSUP}vmovupd ymm1, [r8 + rax]; {$ELSE}db $C4,$C1,$7D,$10,$0C,$00;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm1, ymm1, ymm0; {$ELSE}db $C5,$F5,$59,$C8;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rcx + rbx], ymm1; {$ELSE}db $C5,$FD,$11,$0C,$19;{$ENDIF}
add rbx, rdx;
add rax, r9;
jnz @addforyloop4_2;
// 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}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$59,$C0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm1, xmm1, xmm0; {$ELSE}db $C5,$F1,$58,$C8;{$ENDIF}
add rax, r9;
jnz @addforyloop2;
// normalization factor
lea rax, [rip + cOne];
{$IFDEF AVXSUP}vmovddup xmm2, [rax]; {$ELSE}db $C5,$FB,$12,$10;{$ENDIF}
{$IFDEF AVXSUP}vsqrtpd xmm1, xmm1; {$ELSE}db $C5,$F9,$51,$C9;{$ENDIF}
{$IFDEF AVXSUP}vdivpd xmm0, xmm2, xmm1; {$ELSE}db $C5,$E9,$5E,$C1;{$ENDIF}
// normalize
mov rax, r10;
xor rbx, rbx;
@addforyloop2_2:
{$IFDEF AVXSUP}vmovupd xmm1, [r8 + rax]; {$ELSE}db $C4,$C1,$79,$10,$0C,$00;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm1, xmm1, xmm0; {$ELSE}db $C5,$F1,$59,$C8;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rcx + rbx], xmm1; {$ELSE}db $C5,$F9,$11,$0C,$19;{$ENDIF}
add rbx, rdx;
add rax, r9;
jnz @addforyloop2_2;
// 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;{$ENDIF}
// for y := 0 to height - 1;
// prepare for reverse loop
mov rax, r10;
@addforyloop_1:
{$IFDEF AVXSUP}vmovsd xmm0, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$10,$04,$00;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm0, xmm0, xmm0; {$ELSE}db $C5,$FB,$59,$C0;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm1, xmm1, xmm0; {$ELSE}db $C5,$F3,$58,$C8;{$ENDIF}
add rax, r9;
jnz @addforyloop_1;
// build result
lea rax, [rip + cOne];
{$IFDEF AVXSUP}vmovsd xmm2, [rax]; {$ELSE}db $C5,$FB,$10,$10;{$ENDIF}
{$IFDEF AVXSUP}vsqrtsd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F3,$51,$C9;{$ENDIF}
{$IFDEF AVXSUP}vdivsd xmm0, xmm2, xmm1; {$ELSE}db $C5,$EB,$5E,$C1;{$ENDIF}
// normalize last column
mov rax, r10;
xor rbx, rbx;
@addforyloop2_1:
{$IFDEF AVXSUP}vmovsd xmm1, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$10,$0C,$00;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm1, xmm1, xmm0; {$ELSE}db $C5,$F3,$59,$C8;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx + rbx], xmm1; {$ELSE}db $C5,$FB,$11,$0C,$19;{$ENDIF}
add rbx, rdx;
add rax, r9;
jnz @addforyloop2_1;
@@endProc:
// epilog
mov rbx, iRBX;
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
end;
{$ENDIF}
end.