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AVXMatrixMultTransposedOperationsx64.pas
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AVXMatrixMultTransposedOperationsx64.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) 2017, 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 AVXMatrixMultTransposedOperationsx64;
// ##############################################################
// #### Assembler optimized matrix multiplication assuming a transposed second
// #### matrix
// ##############################################################
interface
{$I 'mrMath_CPU.inc'}
{$IFDEF x64}
procedure AVXMatrixMultAlignedTransposed(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; {$ifdef UNIX}unixWidth1{$ELSE}width1{$endif}, {$ifdef UNIX}unixHeight1{$ELSE}height1{$endif} : NativeInt; width2 : NativeInt; height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXMatrixMultAlignedEvenW1EvenH2TransposedMod16(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; {$ifdef UNIX}unixWidth1{$ELSE}width1{$endif}, {$ifdef UNIX}unixHeight1{$ELSE}height1{$endif} : NativeInt; width2 : NativeInt; height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXMatrixMultAlignedEvenW1OddH2TransposedMod16(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; {$ifdef UNIX}unixWidth1{$ELSE}width1{$endif}, {$ifdef UNIX}unixHeight1{$ELSE}height1{$endif} : NativeInt; width2 : NativeInt; height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXMatrixMultUnAlignedTransposed(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble; {$ifdef UNIX}unixWidth1{$ELSE}width1{$endif}, {$ifdef UNIX}unixHeight1{$ELSE}height1{$endif} : NativeInt; width2 : NativeInt; height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC}assembler;{$ENDIF}
{$ENDIF}
implementation
{$IFDEF x64}
procedure AVXMatrixMultAlignedEvenW1EvenH2TransposedMod16(dest : PDouble; const destLineWidth : NativeInt;
mt1, mt2 : PDouble; {$ifdef UNIX}unixWidth1{$ELSE}width1{$endif}, {$ifdef UNIX}unixHeight1{$ELSE}height1{$endif} : NativeInt;
width2 : NativeInt; height2 : NativeInt;
const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC}assembler;{$ENDIF}
var iRBX, iRSI, iRDI, iR12, iR13, iR14, iR15 : int64;
{$IFDEF UNIX}
width1 : NativeInt;
height1 : NativeInt;
{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov width1, r8;
mov height1, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// prolog - simulate stack
mov iRBX, rbx;
mov iRSI, rsi;
mov iRDI, rdi;
mov iR12, r12;
mov iR13, r13;
mov iR14, r14;
mov iR15, r15;
sub rsp, $10;
{$IFDEF AVXSUP}vmovupd [rsp + $00], xmm4; {$ELSE}db $C5,$F9,$11,$24,$24;{$ENDIF}
// iters1 := height2 div 2;
mov r15, height2;
shr r15, 1;
// iters2 := -width1*sizeof(double);
mov r14, width1;
imul r14, -8;
// LineWidth2_2 := 2*LineWidth2;
mov r13, LineWidth2;
mov r12, r13;
shl r12, 1;
// prepare matrix pointers - remove constant offset here instead each time in the loop:
sub r8, r14;
sub r9, r14;
mov r10, r9;
add r10, r13;
// for y := 0 to height1 - 1:
mov r11, Height1;
@@forylabel:
mov rdi, r9;
mov rsi, r10;
mov r13, rcx;
// for y2 := 0 to height2 - 1:
mov rbx, r15;
@@fory2label:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF} // dest^ := 0
{$IFDEF AVXSUP}vxorpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$57,$D2;{$ENDIF} // dest + 1 := 0;
// for idx := 0 to width1 div 2 do
mov rax, r14;
// for x := 0 to width1 - 1
@@InnerLoop:
// prefetch [ecx + edx + 128];
// prefetch [edi + edx + 128];
// prefetch [eax + edx + 128];
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax]; {$ELSE}db $C4,$C1,$7D,$28,$0C,$00;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vmulpd ymm3, ymm1, [rdi + rax]; {$ELSE}db $C5,$F5,$59,$1C,$07;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm4, ymm1, [rsi + rax]; {$ELSE}db $C5,$F5,$59,$24,$06;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm2, ymm2, ymm4; {$ELSE}db $C5,$ED,$58,$D4;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax + 32]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$20;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vmulpd ymm3, ymm1, [rdi + rax + 32]; {$ELSE}db $C5,$F5,$59,$5C,$07,$20;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm4, ymm1, [rsi + rax + 32]; {$ELSE}db $C5,$F5,$59,$64,$06,$20;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm2, ymm2, ymm4; {$ELSE}db $C5,$ED,$58,$D4;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax + 64]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$40;{$ENDIF}
// load 2x2 block
{$IFDEF AVXSUP}vmovapd ymm3, [rdi + rax + 64]; {$ELSE}db $C5,$FD,$28,$5C,$07,$40;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm4, [rsi + rax + 64]; {$ELSE}db $C5,$FD,$28,$64,$06,$40;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm1; {$ELSE}db $C5,$E5,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm4, ymm4, ymm1; {$ELSE}db $C5,$DD,$59,$E1;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm2, ymm2, ymm4; {$ELSE}db $C5,$ED,$58,$D4;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax + 96]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$60;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vmulpd ymm3, ymm1, [rdi + rax + 96]; {$ELSE}db $C5,$F5,$59,$5C,$07,$60;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm4, ymm1, [rsi + rax + 96]; {$ELSE}db $C5,$F5,$59,$64,$06,$60;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm2, ymm2, ymm4; {$ELSE}db $C5,$ED,$58,$D4;{$ENDIF}
// end for idx := 0 to width1 div 2
add rax, 128;
jnz @@InnerLoop;
{$IFDEF AVXSUP}vextractf128 xmm1, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C1,$01;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm3, ymm2, 1; {$ELSE}db $C4,$E3,$7D,$19,$D3,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$7C,$C1;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm3; {$ELSE}db $C5,$E9,$7C,$D3;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$7C,$C2;{$ENDIF}
// store back result
{$IFDEF AVXSUP}vmovapd [r13], xmm0; {$ELSE}db $C4,$C1,$79,$29,$45,$00;{$ENDIF}
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add r13, 16;
add rdi, r12;
add rsi, r12;
// end for x := 0 to width2 - 1
dec rbx;
jnz @@fory2label;
// dec(mt2, Width2);
// inc(PByte(mt1), LineWidth1);
// inc(PByte(dest), destOffset);
//mov ebx, bytesWidth2;
//sub dword ptr [mt2], ebx;
add r8, LineWidth1;
add rcx, rdx;
// end for y := 0 to height1 - 1
dec r11;
jnz @@forylabel;
// epilog - cleanup stack
mov rbx, iRBX;
mov rsi, iRSI;
mov rdi, iRDI;
mov r12, iR12;
mov r13, iR13;
mov r14, iR14;
mov r15, iR15;
{$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 AVXMatrixMultAlignedEvenW1OddH2TransposedMod16(dest : PDouble; const destLineWidth : NativeInt;
mt1, mt2 : PDouble; {$ifdef UNIX}unixWidth1{$ELSE}width1{$endif}, {$ifdef UNIX}unixHeight1{$ELSE}height1{$endif},
width2 : NativeInt; height2 : NativeInt;
const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC}assembler;{$ENDIF}
var iRBX, iRSI, iRDI, iR12, iR13, iR14, iR15 : int64;
{$IFDEF UNIX}
width1 : NativeInt;
height1 : NativeInt;
{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov width1, r8;
mov height1, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// prolog - simulate stack
mov iRBX, rbx;
mov iRSI, rsi;
mov iRDI, rdi;
mov iR12, r12;
mov iR13, r13;
mov iR14, r14;
mov iR15, r15;
sub rsp, $10;
{$IFDEF AVXSUP}vmovupd [rsp + $00], xmm4; {$ELSE}db $C5,$F9,$11,$24,$24;{$ENDIF}
// iters1 := height2 div 2;
mov r15, height2;
shr r15, 1;
// iters2 := -width1*sizeof(double);
mov r14, width1;
imul r14, -8;
// LineWidth2_2 := 2*LineWidth2;
mov r13, LineWidth2;
mov r12, r13;
shl r12, 1;
// prepare matrix pointers - remove constant offset here instead each time in the loop:
sub r8, r14;
sub r9, r14;
mov r10, r9;
add r10, r13;
// for y := 0 to height1 - 1:
mov r11, Height1;
@@forylabel:
mov rdi, r9;
mov rsi, r10;
mov r13, rcx;
// for y2 := 0 to height2 div 2 - 1:
mov rbx, r15;
@@fory2label:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF} // dest^ := 0
{$IFDEF AVXSUP}vxorpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$57,$D2;{$ENDIF} // dest + 1 := 0;
// for idx := 0 to width1 div 2 do
mov rax, r14;
// for x := 0 to width1 - 1
@@InnerLoop:
// prefetch [ecx + edx + 128];
// prefetch [edi + edx + 128];
// prefetch [eax + edx + 128];
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax]; {$ELSE}db $C4,$C1,$7D,$28,$0C,$00;{$ENDIF}
// load 2x2 block
{$IFDEF AVXSUP}vmovapd ymm3, [rdi + rax]; {$ELSE}db $C5,$FD,$28,$1C,$07;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm4, [rsi + rax]; {$ELSE}db $C5,$FD,$28,$24,$06;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm1; {$ELSE}db $C5,$E5,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm4, ymm4, ymm1; {$ELSE}db $C5,$DD,$59,$E1;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm2, ymm2, ymm4; {$ELSE}db $C5,$ED,$58,$D4;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax + 32]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$20;{$ENDIF}
// load 2x2 block
{$IFDEF AVXSUP}vmovapd ymm3, [rdi + rax + 32]; {$ELSE}db $C5,$FD,$28,$5C,$07,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm4, [rsi + rax + 32]; {$ELSE}db $C5,$FD,$28,$64,$06,$20;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm1; {$ELSE}db $C5,$E5,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm4, ymm4, ymm1; {$ELSE}db $C5,$DD,$59,$E1;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm2, ymm2, ymm4; {$ELSE}db $C5,$ED,$58,$D4;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax + 64]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$40;{$ENDIF}
// load 2x2 block
{$IFDEF AVXSUP}vmovapd ymm3, [rdi + rax + 64]; {$ELSE}db $C5,$FD,$28,$5C,$07,$40;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm4, [rsi + rax + 64]; {$ELSE}db $C5,$FD,$28,$64,$06,$40;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm1; {$ELSE}db $C5,$E5,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm4, ymm4, ymm1; {$ELSE}db $C5,$DD,$59,$E1;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm2, ymm2, ymm4; {$ELSE}db $C5,$ED,$58,$D4;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax + 96]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$60;{$ENDIF}
// load 2x2 block
{$IFDEF AVXSUP}vmovapd ymm3, [rdi + rax + 96]; {$ELSE}db $C5,$FD,$28,$5C,$07,$60;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm4, [rsi + rax + 96]; {$ELSE}db $C5,$FD,$28,$64,$06,$60;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm1; {$ELSE}db $C5,$E5,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm4, ymm4, ymm1; {$ELSE}db $C5,$DD,$59,$E1;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm2, ymm2, ymm4; {$ELSE}db $C5,$ED,$58,$D4;{$ENDIF}
// end for idx := 0 to width1 div 2
add rax, 128;
jnz @@InnerLoop;
{$IFDEF AVXSUP}vextractf128 xmm1, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C1,$01;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm3, ymm2, 1; {$ELSE}db $C4,$E3,$7D,$19,$D3,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$7C,$C1;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm3; {$ELSE}db $C5,$E9,$7C,$D3;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$7C,$C2;{$ENDIF}
// store back result
{$IFDEF AVXSUP}vmovapd [r13], xmm0; {$ELSE}db $C4,$C1,$79,$29,$45,$00;{$ENDIF}
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add r13, 16;
add rdi, r12;
add rsi, r12;
// end for y := 0 to height2 div 2 - 1
dec rbx;
jnz @@fory2label;
// last odd line:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF} // dest^ := 0
// for idx := 0 to width1 div 2 do
mov rax, r14;
// for x := 0 to width1 - 1
@@InnerLoop2:
// prefetch [ecx + edx + 128];
// prefetch [edi + edx + 128];
// prefetch [eax + edx + 128];
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax]; {$ELSE}db $C4,$C1,$7D,$28,$0C,$00;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm3, [rdi + rax]; {$ELSE}db $C5,$FD,$28,$1C,$07;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm1; {$ELSE}db $C5,$E5,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax + 32]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm3, [rdi + rax + 32]; {$ELSE}db $C5,$FD,$28,$5C,$07,$20;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm1; {$ELSE}db $C5,$E5,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax + 64]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$40;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm3, [rdi + rax + 64]; {$ELSE}db $C5,$FD,$28,$5C,$07,$40;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm1; {$ELSE}db $C5,$E5,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax + 96]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$60;{$ENDIF}
{$IFDEF AVXSUP}vmovapd ymm3, [rdi + rax + 96]; {$ELSE}db $C5,$FD,$28,$5C,$07,$60;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm1; {$ELSE}db $C5,$E5,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$58,$C3;{$ENDIF}
// end for idx := 0 to width1 div 2
add rax, 128;
jnz @@InnerLoop2;
{$IFDEF AVXSUP}vextractf128 xmm1, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C1,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$7C,$C1;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
// store back result
{$IFDEF AVXSUP}vmovsd [r13], xmm0; {$ELSE}db $C4,$C1,$7B,$11,$45,$00;{$ENDIF}
// dec(mt2, Width2);
// inc(PByte(mt1), LineWidth1);
// inc(PByte(dest), destOffset);
//mov ebx, bytesWidth2;
//sub dword ptr [mt2], ebx;
add r8, LineWidth1;
add rcx, rdx;
// end for y := 0 to height1 - 1
dec r11;
jnz @@forylabel;
// epilog - cleanup stack
mov rbx, iRBX;
mov rsi, iRSI;
mov rdi, iRDI;
mov r12, iR12;
mov r13, iR13;
mov r14, iR14;
mov r15, iR15;
{$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;
// note mt2 is transposed this time -> width1 and width2 must be the same!
procedure AVXMatrixMultUnAlignedTransposed(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble;
{$ifdef UNIX}unixWidth1{$ELSE}width1{$endif}, {$ifdef UNIX}unixHeight1{$ELSE}height1{$endif} : NativeInt; width2 : NativeInt; height2 : NativeInt;
const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC}assembler;{$ENDIF}
var iRBX, iRSI, iRDI, iR12, iR13, iR14, iR15 : int64;
{$IFDEF UNIX}
width1 : NativeInt;
height1 : NativeInt;
{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov width1, r8;
mov height1, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// prolog - simulate stack
mov iRBX, rbx;
mov iRSI, rsi;
mov iRDI, rdi;
mov iR12, r12;
mov iR13, r13;
mov iR14, r14;
mov iR15, r15;
sub rsp, $10;
{$IFDEF AVXSUP}vmovupd [rsp + $00], xmm4; {$ELSE}db $C5,$F9,$11,$24,$24;{$ENDIF}
// height 2
mov r15, height2;
// iters2 := -width1*sizeof(double);
mov r14, width1;
shl r14, 3;
imul r14, -1;
// LineWidth2_2 := 2*LineWidth2;
mov r13, LineWidth2;
mov r12, r13;
shl r12, 1;
// prepare matrix pointers - remove constant offset here instead each time in the loop:
sub r8, r14;
sub r9, r14;
mov r10, r9;
add r10, r13;
// for y := 0 to height1 - 1:
mov r11, Height1;
@@forylabel:
mov rdi, r9;
mov rsi, r10;
mov r13, rcx;
// for x := 0 to width2 - 1:
mov rbx, r15;
sub rbx, 2;
jl @@fory2loopend;
@@fory2label:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF} // dest^ := 0
{$IFDEF AVXSUP}vxorpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$57,$D2;{$ENDIF} // dest + 1 := 0;
// for idx := 0 to width1 div 4 do
mov rax, r14;
add rax, 32;
jg @InnerLoopEnd;
@@InnerLoop:
{$IFDEF AVXSUP}vmovupd ymm1, [r8 + rax - 32]; {$ELSE}db $C4,$C1,$7D,$10,$4C,$00,$E0;{$ENDIF}
// load 2x2 block
{$IFDEF AVXSUP}vmovupd ymm3, [rdi + rax - 32]; {$ELSE}db $C5,$FD,$10,$5C,$07,$E0;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [rsi + rax - 32]; {$ELSE}db $C5,$FD,$10,$64,$06,$E0;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm1; {$ELSE}db $C5,$E5,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm4, ymm4, ymm1; {$ELSE}db $C5,$DD,$59,$E1;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm2, ymm2, ymm4; {$ELSE}db $C5,$ED,$58,$D4;{$ENDIF}
// end for idx := 0 to width1 div 2
add rax, 32;
jle @@InnerLoop;
{$IFDEF AVXSUP}vextractf128 xmm1, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C1,$01;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm3, ymm2, 1; {$ELSE}db $C4,$E3,$7D,$19,$D3,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$7C,$C1;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm3; {$ELSE}db $C5,$E9,$7C,$D3;{$ENDIF}
@InnerLoopEnd:
sub rax, 32;
jz @@InnerLoopEnd2;
// do the final few elements
@@InnerLoop2:
{$IFDEF AVXSUP}vmovsd xmm1, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$10,$0C,$00;{$ENDIF}
// load 2x2 block
{$IFDEF AVXSUP}vmovsd xmm3, [rdi + rax]; {$ELSE}db $C5,$FB,$10,$1C,$07;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [rsi + rax]; {$ELSE}db $C5,$FB,$10,$24,$06;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vmulsd xmm3, xmm3, xmm1; {$ELSE}db $C5,$E3,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm4, xmm4, xmm1; {$ELSE}db $C5,$DB,$59,$E1;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm2, xmm2, xmm4; {$ELSE}db $C5,$EB,$58,$D4;{$ENDIF}
add rax, 8;
jnz @@InnerLoop2;
@@InnerLoopEnd2:
// final add and compact result
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$7C,$C2;{$ENDIF}
// store back result
{$IFDEF AVXSUP}vmovupd [r13], xmm0; {$ELSE}db $C4,$C1,$79,$11,$45,$00;{$ENDIF}
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add r13, 16;
add rdi, r12;
add rsi, r12;
// end for x := 0 to width2 - 1
sub rbx, 2;
jge @@fory2label;
@@fory2loopend:
add rbx, 2;
// test for odd h2
jz @@NextLine;
// we have an odd height2 -> special treatment for the last line
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF} // dest^ := 0
// for idx := 0 to width1 div 4 do
mov rax, r14;
add rax, 32;
jg @LastLineInnerLoopEnd;
@@LastLineInnerLoop:
{$IFDEF AVXSUP}vmovupd ymm1, [r8 + rax - 32]; {$ELSE}db $C4,$C1,$7D,$10,$4C,$00,$E0;{$ENDIF}
// load block
{$IFDEF AVXSUP}vmovupd ymm3, [rdi + rax - 32]; {$ELSE}db $C5,$FD,$10,$5C,$07,$E0;{$ENDIF}
// multiply and add
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm1; {$ELSE}db $C5,$E5,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$58,$C3;{$ENDIF}
// end for idx := 0 to width1 div 2
add rax, 32;
jle @@LastLineInnerLoop;
{$IFDEF AVXSUP}vextractf128 xmm1, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C1,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$7C,$C1;{$ENDIF}
@LastLineInnerLoopEnd:
sub rax, 32;
jz @@LastLineInnerLoopEnd2;
// do the final few elements
@@LastLineInnerLoop2:
{$IFDEF AVXSUP}vmovsd xmm1, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$10,$0C,$00;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm3, [rdi + rax]; {$ELSE}db $C5,$FB,$10,$1C,$07;{$ENDIF}
// multiply and add
{$IFDEF AVXSUP}vmulsd xmm3, xmm3, xmm1; {$ELSE}db $C5,$E3,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$58,$C3;{$ENDIF}
// next element
add rax, 8;
jnz @@LastLineInnerLoop2;
@@LastLineInnerLoopEnd2:
// final add and compact result
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
// store back result
{$IFDEF AVXSUP}vmovsd [r13], xmm0; {$ELSE}db $C4,$C1,$7B,$11,$45,$00;{$ENDIF}
// ################################################
// #### next line of mt1
@@NextLine:
// dec(mt2, Width2);
// inc(PByte(mt1), LineWidth1);
// inc(PByte(dest), destOffset);
//mov ebx, bytesWidth2;
//sub dword ptr [mt2], ebx;
add r8, LineWidth1;
add rcx, rdx;
// end for y := 0 to height1 - 1
dec r11;
jnz @@forylabel;
// epilog - cleanup stack
mov rbx, iRBX;
mov rsi, iRSI;
mov rdi, iRDI;
mov r12, iR12;
mov r13, iR13;
mov r14, iR14;
mov r15, iR15;
{$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;
// note mt2 is transposed this time -> width1 and width2 must be the same!
procedure AVXMatrixMultAlignedTransposed(dest : PDouble; const destLineWidth : NativeInt; mt1, mt2 : PDouble;
{$ifdef UNIX}unixWidth1{$ELSE}width1{$endif}, {$ifdef UNIX}unixHeight1{$ELSE}height1{$endif} : NativeInt;
width2 : NativeInt; height2 : NativeInt; const LineWidth1, LineWidth2 : NativeInt); {$IFDEF FPC}assembler;{$ENDIF}
var iRBX, iRSI, iRDI, iR12, iR13, iR14, iR15 : int64;
{$IFDEF UNIX}
width1 : NativeInt;
height1 : NativeInt;
{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov width1, r8;
mov height1, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// prolog - simulate stack
mov iRBX, rbx;
mov iRSI, rsi;
mov iRDI, rdi;
mov iR12, r12;
mov iR13, r13;
mov iR14, r14;
mov iR15, r15;
sub rsp, $10;
{$IFDEF AVXSUP}vmovupd [rsp + $00], xmm4; {$ELSE}db $C5,$F9,$11,$24,$24;{$ENDIF}
// height2 helper
mov r15, height2;
// iters2 := -width1*sizeof(double);
mov r14, width1;
shl r14, 3;
imul r14, -1;
// LineWidth2_2 := 2*LineWidth2;
mov r13, LineWidth2;
mov r12, r13;
shl r12, 1;
// prepare matrix pointers - remove constant offset here instead each time in the loop:
sub r8, r14;
sub r9, r14;
mov r10, r9;
add r10, r13;
// for y := 0 to height1 - 1:
mov r11, Height1;
@@forylabel:
mov rdi, r9;
mov rsi, r10;
mov r13, rcx;
// for x := 0 to width2 - 1:
mov rbx, r15;
sub rbx, 2;
jl @@fory2loopend;
@@fory2label:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF} // dest^ := 0
{$IFDEF AVXSUP}vxorpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$57,$D2;{$ENDIF} // dest + 1 := 0;
// for idx := 0 to width1 div 4 do
mov rax, r14;
add rax, 32;
jg @InnerLoopEnd;
@@InnerLoop:
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax - 32]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$E0;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vmulpd ymm3, ymm1, [rdi + rax - 32]; {$ELSE}db $C5,$F5,$59,$5C,$07,$E0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm4, ymm1, [rsi + rax - 32]; {$ELSE}db $C5,$F5,$59,$64,$06,$E0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm2, ymm2, ymm4; {$ELSE}db $C5,$ED,$58,$D4;{$ENDIF}
// end for idx := 0 to width1 div 2
add rax, 32;
jle @@InnerLoop;
{$IFDEF AVXSUP}vextractf128 xmm1, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C1,$01;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm3, ymm2, 1; {$ELSE}db $C4,$E3,$7D,$19,$D3,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$7C,$C1;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm3; {$ELSE}db $C5,$E9,$7C,$D3;{$ENDIF}
@InnerLoopEnd:
sub rax, 32;
jz @@InnerLoopEnd2;
// do the final few elements
@@InnerLoop2:
{$IFDEF AVXSUP}vmovsd xmm1, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$10,$0C,$00;{$ENDIF}
// load 2x2 block
{$IFDEF AVXSUP}vmovsd xmm3, [rdi + rax]; {$ELSE}db $C5,$FB,$10,$1C,$07;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [rsi + rax]; {$ELSE}db $C5,$FB,$10,$24,$06;{$ENDIF}
// multiply 2x2 and add
{$IFDEF AVXSUP}vmulsd xmm3, xmm3, xmm1; {$ELSE}db $C5,$E3,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm4, xmm4, xmm1; {$ELSE}db $C5,$DB,$59,$E1;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm2, xmm2, xmm4; {$ELSE}db $C5,$EB,$58,$D4;{$ENDIF}
add rax, 8;
jnz @@InnerLoop2;
@@InnerLoopEnd2:
// final add and compact result
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm2; {$ELSE}db $C5,$F9,$7C,$C2;{$ENDIF}
// store back result
{$IFDEF AVXSUP}vmovapd [r13], xmm0; {$ELSE}db $C4,$C1,$79,$29,$45,$00;{$ENDIF}
// increment the pointers
// inc(mt2), inc(dest);
//add dword ptr [mt2], 8;
add r13, 16;
add rdi, r12;
add rsi, r12;
// end for x := 0 to width2 - 1
sub rbx, 2;
jge @@fory2label;
@@fory2loopend:
add rbx, 2;
// test for odd h2
jz @@NextLine;
// we have an odd height2 -> special treatment for the last line
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF} // dest^ := 0
// for idx := 0 to width1 div 4 do
mov rax, r14;
add rax, 32;
jg @LastLineInnerLoopEnd;
@@LastLineInnerLoop:
{$IFDEF AVXSUP}vmovapd ymm1, [r8 + rax - 32]; {$ELSE}db $C4,$C1,$7D,$28,$4C,$00,$E0;{$ENDIF}
// multiply and add
{$IFDEF AVXSUP}vmulpd ymm3, ymm1, [rdi + rax - 32]; {$ELSE}db $C5,$F5,$59,$5C,$07,$E0;{$ENDIF}
{$IFDEF AVXSUP}vaddpd ymm0, ymm0, ymm3; {$ELSE}db $C5,$FD,$58,$C3;{$ENDIF}
// end for idx := 0 to width1 div 2
add rax, 32;
jle @@LastLineInnerLoop;
{$IFDEF AVXSUP}vextractf128 xmm1, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C1,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm1; {$ELSE}db $C5,$F9,$7C,$C1;{$ENDIF}
@LastLineInnerLoopEnd:
sub rax, 32;
jz @@LastLineInnerLoopEnd2;
// do the final few elements
@@LastLineInnerLoop2:
{$IFDEF AVXSUP}vmovsd xmm1, [r8 + rax]; {$ELSE}db $C4,$C1,$7B,$10,$0C,$00;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm3, [rdi + rax]; {$ELSE}db $C5,$FB,$10,$1C,$07;{$ENDIF}
// multiply and add
{$IFDEF AVXSUP}vmulsd xmm3, xmm3, xmm1; {$ELSE}db $C5,$E3,$59,$D9;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$58,$C3;{$ENDIF}
// next element
add rax, 8;
jnz @@LastLineInnerLoop2;
@@LastLineInnerLoopEnd2:
// final add and compact result
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
// store back result
{$IFDEF AVXSUP}vmovsd [r13], xmm0; {$ELSE}db $C4,$C1,$7B,$11,$45,$00;{$ENDIF}
// ################################################
// #### next line of mt1
@@NextLine:
// dec(mt2, Width2);
// inc(PByte(mt1), LineWidth1);
// inc(PByte(dest), destOffset);
//mov ebx, bytesWidth2;
//sub dword ptr [mt2], ebx;
add r8, LineWidth1;
add rcx, rdx;
// end for y := 0 to height1 - 1
dec r11;
jnz @@forylabel;
// epilog - cleanup stack
mov rbx, iRBX;
mov rsi, iRSI;
mov rdi, iRDI;
mov r12, iR12;
mov r13, iR13;
mov r14, iR14;
mov r15, iR15;
{$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;
{$ENDIF}
end.