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FMAMatrixVectorMultOperationsx64.pas
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FMAMatrixVectorMultOperationsx64.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 FMAMatrixVectorMultOperationsx64;
// #######################################################
// #### special routines for matrix vector multiplications.
// #######################################################
interface
{$I 'mrMath_CPU.inc'}
{$IFDEF x64}
procedure FMAMatrixVectMultT(dest : PDouble; destLineWidth : NativeInt; mt1, v : PDouble;{$ifdef UNIX}unixLineWidthMT{$ELSE}LineWidthMT{$endif}, {$ifdef UNIX}unixLineWidthV{$ELSE}LineWidthV{$endif} : NativeInt; width, height : NativeInt; {$ifdef UNIX}unixalpha {$ELSE}alpha{$ENDIF}, {$ifdef UNIX}unixbeta {$ELSE}beta{$ENDIF} : double); {$IFDEF FPC}assembler;{$ENDIF}
// routines with special input layouts: LineWidthV needs to be sizeof(double)
procedure FMAMatrixVectMultAlignedVAligned(dest : PDouble; destLineWidth : NativeInt; mt1, v : PDouble; {$ifdef UNIX}unixLineWidthMT{$ELSE}LineWidthMT{$endif}, {$ifdef UNIX}unixLineWidthV{$ELSE}LineWidthV{$endif} : NativeInt; width, height : NativeInt; {$ifdef UNIX}unixalpha {$ELSE}alpha{$ENDIF}, {$ifdef UNIX}unixbeta {$ELSE}beta{$ENDIF} : double); {$IFDEF FPC}assembler;{$ENDIF}
procedure FMAMatrixVectMultUnAlignedVAligned(dest : PDouble; destLineWidth : NativeInt; mt1, v : PDouble; {$ifdef UNIX}unixLineWidthMT{$ELSE}LineWidthMT{$endif}, {$ifdef UNIX}unixLineWidthV{$ELSE}LineWidthV{$endif} : NativeInt; width, height : NativeInt; {$ifdef UNIX}unixalpha {$ELSE}alpha{$ENDIF}, {$ifdef UNIX}unixbeta {$ELSE}beta{$ENDIF} : double); {$IFDEF FPC}assembler;{$ENDIF}
// destlinewidth needs to be sizeof(double)!
// no speed gain agains amsmatrixVectMultT
procedure FMAMatrixVecMultTDestVec(dest : PDouble; destLineWidth : NativeInt; mt1, v : PDouble; {$ifdef UNIX}unixLineWidthMT{$ELSE}LineWidthMT{$endif}, {$ifdef UNIX}unixLineWidthV{$ELSE}LineWidthV{$endif} : NativeInt; width, height : NativeInt; {$ifdef UNIX}unixalpha {$ELSE}alpha{$ENDIF}, {$ifdef UNIX}unixbeta {$ELSE}beta{$ENDIF} : double); {$IFDEF FPC}assembler;{$ENDIF}
// rank1 update: A = A + alpha*X*Y' where x and y are vectors. It's assumed that y is sequential
procedure FMARank1UpdateSeq(A : PDouble; const LineWidthA : NativeInt; width, height : NativeInt;
{$ifdef UNIX}unixX{$ELSE}X{$endif}, {$ifdef UNIX}unixY{$ELSE}Y{$ENDIF} : PDouble; incX, incY : NativeInt; {$ifdef UNIX}unixalpha {$ELSE}alpha{$ENDIF} : double); {$IFDEF FPC}assembler;{$ENDIF}
procedure FMARank1UpdateSeqAligned(A : PDouble; const LineWidthA : NativeInt; width, height : NativeInt;
{$ifdef UNIX}unixX{$ELSE}X{$endif}, {$ifdef UNIX}unixY{$ELSE}Y{$ENDIF} : PDouble; incX, incY : NativeInt; {$ifdef UNIX}unixalpha {$ELSE}alpha{$ENDIF} : double); {$IFDEF FPC}assembler;{$ENDIF}
{$ENDIF}
implementation
{$IFDEF x64}
// routines with special input layouts: LineWidthV needs to be sizeof(double)
procedure FMAMatrixVectMultAlignedVAligned(dest : PDouble; destLineWidth : NativeInt; mt1, v : PDouble; {$ifdef UNIX}unixLineWidthMT{$ELSE}LineWidthMT{$endif}, {$ifdef UNIX}unixLineWidthV{$ELSE}LineWidthV{$endif} : NativeInt; width, height : NativeInt; {$ifdef UNIX}unixalpha {$ELSE}alpha{$ENDIF}, {$ifdef UNIX}unixbeta {$ELSE}beta{$ENDIF} : double); {$IFDEF FPC}assembler;{$ENDIF}
// note: RCX = dest, RDX = destLineWidth, R8 = mt1, R9 = v
var iRBX, iRSI, iRDI, iR12, iR13, iR14 : NativeInt;
{$ifdef UNIX}
LineWidthMT, LineWidthV : NativeInt;
alpha, beta : double;
{$endif}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov LineWidthMT, r8;
mov LineWidthV, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
movsd alpha, unixalpha;
movsd beta, unixbeta;
{$ENDIF}
// prolog - simulate stack
mov iRBX, rbx;
mov iRSI, rsi;
mov iRDI, rdi;
mov iR12, r12;
mov iR13, r13;
mov iR14, r14;
sub rsp, $30;
{$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}
{$IFDEF AVXSUP}vmovupd [rsp + $20], xmm6; {$ELSE}db $C5,$F9,$11,$74,$24,$20;{$ENDIF}
// for the final multiplication
lea rbx, alpha;
{$IFDEF AVXSUP}vmovsd xmm6, [rbx]; {$ELSE}db $C5,$FB,$10,$33;{$ENDIF}
lea rax, beta;
{$IFDEF AVXSUP}vmovhpd xmm6, xmm6, [rax]; {$ELSE}db $C5,$C9,$16,$30;{$ENDIF}
// prepare for loop
mov rsi, LineWidthMT;
mov rdi, LineWidthV;
mov r13, height;
mov r14, width;
sub r14, 4;
sub r13, 4;
js @@foryloopend;
// we need at least a width of 4 for the fast unrolled loop
cmp r14, 0;
jl @@foryloopend;
// init for x := 0 to width - 1:
@@foryloop:
// init values:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$57,$C9;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$57,$D2;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm3, ymm3, ymm3; {$ELSE}db $C5,$E5,$57,$DB;{$ENDIF} // res := 0;
mov rax, r8; // rax = first matrix element
mov rbx, r9; // rbx = first vector element
mov r10, r14; // r10 = width
@@forxloop:
{$IFDEF AVXSUP}vmovapd ymm4, [rbx]; {$ELSE}db $C5,$FD,$28,$23;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm4, [rax]; {$ELSE}db $C4,$E2,$DD,$B8,$00;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm1, ymm4, [rax + rsi]; {$ELSE}db $C4,$E2,$DD,$B8,$0C,$30;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm2, ymm4, [rax + 2*rsi]; {$ELSE}db $C4,$E2,$DD,$B8,$14,$70;{$ENDIF}
add rax, rsi;
{$IFDEF AVXSUP}vfmadd231pd ymm3, ymm4, [rax + 2*rsi]; {$ELSE}db $C4,$E2,$DD,$B8,$1C,$70;{$ENDIF}
sub rax, rsi;
add rax, 32;
add rbx, 32;
sub r10, 4;
jge @@forxloop;
{$IFDEF AVXSUP}vextractf128 xmm4, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C4,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm4; {$ELSE}db $C5,$F9,$7C,$C4;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm5, ymm1, 1; {$ELSE}db $C4,$E3,$7D,$19,$CD,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm1, xmm1, xmm5; {$ELSE}db $C5,$F1,$7C,$CD;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm4, ymm2, 1; {$ELSE}db $C4,$E3,$7D,$19,$D4,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm4; {$ELSE}db $C5,$E9,$7C,$D4;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm5, ymm3, 1; {$ELSE}db $C4,$E3,$7D,$19,$DD,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm3, xmm3, xmm5; {$ELSE}db $C5,$E1,$7C,$DD;{$ENDIF}
// special treatment for the last value(s):
add r10, 4;
jz @@resbuild;
@@shortloopx:
{$IFDEF AVXSUP}vmovsd xmm4, [rbx]; {$ELSE}db $C5,$FB,$10,$23;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [rax]; {$ELSE}db $C5,$FB,$10,$28;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm5; {$ELSE}db $C5,$FB,$58,$C5;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [rax + rsi]; {$ELSE}db $C5,$FB,$10,$2C,$30;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm1, xmm1, xmm5; {$ELSE}db $C5,$F3,$58,$CD;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [rax + 2*rsi]; {$ELSE}db $C5,$FB,$10,$2C,$70;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm2, xmm2, xmm5; {$ELSE}db $C5,$EB,$58,$D5;{$ENDIF}
add rax, rsi;
{$IFDEF AVXSUP}vmovsd xmm5, [rax + 2*rsi]; {$ELSE}db $C5,$FB,$10,$2C,$70;{$ENDIF}
sub rax, rsi;
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm3, xmm3, xmm5; {$ELSE}db $C5,$E3,$58,$DD;{$ENDIF}
add rax, 8;
add rbx, 8;
sub r10, 1;
jnz @@shortloopx;
@@resbuild:
// result building
// write back result (final addition and compactation)
// calculate dest = beta*dest + alpha*xmm0
{$IFDEF AVXSUP}vmovsd xmm5, [rcx]; {$ELSE}db $C5,$FB,$10,$29;{$ENDIF} // first element
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm5; {$ELSE}db $C5,$F9,$7C,$C5;{$ENDIF} // calculate xmm0_1 + xmm0_2 (store low) xmm5_1 + xmm5_2 (store high)
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // beta * dest + alpha*xmm0
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF} // final add
{$IFDEF AVXSUP}vmovsd [rcx], xmm0; {$ELSE}db $C5,$FB,$11,$01;{$ENDIF} // store back
add rcx, rdx;
add r8, rsi;
{$IFDEF AVXSUP}vmovsd xmm5, [rcx]; {$ELSE}db $C5,$FB,$10,$29;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm1, xmm1, xmm5; {$ELSE}db $C5,$F1,$7C,$CD;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm1, xmm1, xmm6; {$ELSE}db $C5,$F1,$59,$CE;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$7C,$C9;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm1; {$ELSE}db $C5,$FB,$11,$09;{$ENDIF}
add rcx, rdx;
add r8, rsi;
{$IFDEF AVXSUP}vmovsd xmm5, [rcx]; {$ELSE}db $C5,$FB,$10,$29;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm5; {$ELSE}db $C5,$E9,$7C,$D5;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm2, xmm2, xmm6; {$ELSE}db $C5,$E9,$59,$D6;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm2; {$ELSE}db $C5,$E9,$7C,$D2;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm2; {$ELSE}db $C5,$FB,$11,$11;{$ENDIF}
add rcx, rdx;
add r8, rsi;
{$IFDEF AVXSUP}vmovsd xmm5, [rcx]; {$ELSE}db $C5,$FB,$10,$29;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm3, xmm3, xmm5; {$ELSE}db $C5,$E1,$7C,$DD;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm6; {$ELSE}db $C5,$E1,$59,$DE;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm3, xmm3, xmm3; {$ELSE}db $C5,$E1,$7C,$DB;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm3; {$ELSE}db $C5,$FB,$11,$19;{$ENDIF}
add rcx, rdx;
add r8, rsi;
// next rseult
sub r13, 4;
jge @@foryloop;
// ###########################################
// #### Remaining rows (max 4 or more if width is <4):
@@foryloopend:
add r13, 4;
jz @@vecend;
@@foryshortloop:
// init values:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF}
mov rax, r8; // rax = first matrix element
mov rbx, r9; // rbx = first vector element
mov r10, r14; // r10 = width - 4
cmp r10, 0;
jl @@shortloopend;
@@forxshortloop:
{$IFDEF AVXSUP}vmovapd ymm4, [rbx]; {$ELSE}db $C5,$FD,$28,$23;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm4, [rax]; {$ELSE}db $C4,$E2,$DD,$B8,$00;{$ENDIF}
add rax, 32;
add rbx, 32;
sub r10, 4;
jge @@forxshortloop;
{$IFDEF AVXSUP}vextractf128 xmm4, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C4,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm4; {$ELSE}db $C5,$F9,$7C,$C4;{$ENDIF}
@@shortloopend:
add r10, 4;
// test if there are elements left
jz @@resbuildshort;
@@forxshortestloop:
{$IFDEF AVXSUP}vmovsd xmm4, [rbx]; {$ELSE}db $C5,$FB,$10,$23;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [rax]; {$ELSE}db $C5,$FB,$10,$28;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm5; {$ELSE}db $C5,$FB,$58,$C5;{$ENDIF}
add rax, 8;
add rbx, 8;
dec r10;
jnz @@forxshortestloop;
@@resbuildshort:
// build result
// calculate dest = beta*dest + alpha*xmm0
{$IFDEF AVXSUP}vmovsd xmm5, [rcx]; {$ELSE}db $C5,$FB,$10,$29;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm5; {$ELSE}db $C5,$F9,$7C,$C5;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm0; {$ELSE}db $C5,$FB,$11,$01;{$ENDIF}
add rcx, rdx;
add r8, rsi;
dec r13;
jnz @@foryshortloop;
@@vecend:
// epilog pop "stack"
mov rbx, iRBX;
mov rsi, iRSI;
mov rdi, iRDI;
mov r12, iR12;
mov r13, iR13;
mov r14, iR14;
{$IFDEF AVXSUP}vmovupd xmm4, [rsp + $00]; {$ELSE}db $C5,$F9,$10,$24,$24;{$ENDIF}
{$IFDEF AVXSUP}vmovupd xmm5, [rsp + $10]; {$ELSE}db $C5,$F9,$10,$6C,$24,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovupd xmm6, [rsp + $20]; {$ELSE}db $C5,$F9,$10,$74,$24,$20;{$ENDIF}
add rsp, $30;
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
end;
procedure FMAMatrixVectMultUnAlignedVAligned(dest : PDouble; destLineWidth : NativeInt; mt1, v : PDouble; {$ifdef UNIX}unixLineWidthMT{$ELSE}LineWidthMT{$endif}, {$ifdef UNIX}unixLineWidthV{$ELSE}LineWidthV{$endif} : NativeInt; width, height : NativeInt; {$ifdef UNIX}unixalpha {$ELSE}alpha{$ENDIF}, {$ifdef UNIX}unixbeta {$ELSE}beta{$ENDIF} : double); {$IFDEF FPC}assembler;{$ENDIF}
// note: RCX = dest, RDX = destLineWidth, R8 = mt1, R9 = v
var iRBX, iRSI, iRDI, iR12, iR13, iR14 : NativeInt;
{$ifdef UNIX}
LineWidthMT, LineWidthV : NativeInt;
alpha, beta : double;
{$endif}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov LineWidthMT, r8;
mov LineWidthV, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
movsd alpha, unixalpha;
movsd beta, unixbeta;
{$ENDIF}
// prolog - simulate stack
mov iRBX, rbx;
mov iRSI, rsi;
mov iRDI, rdi;
mov iR12, r12;
mov iR13, r13;
mov iR14, r14;
sub rsp, $30;
{$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}
{$IFDEF AVXSUP}vmovupd [rsp + $20], xmm6; {$ELSE}db $C5,$F9,$11,$74,$24,$20;{$ENDIF}
// for the final multiplication
lea rbx, alpha;
{$IFDEF AVXSUP}vmovsd xmm6, [rbx]; {$ELSE}db $C5,$FB,$10,$33;{$ENDIF}
lea rax, beta;
{$IFDEF AVXSUP}vmovhpd xmm6, xmm6, [rax]; {$ELSE}db $C5,$C9,$16,$30;{$ENDIF}
// prepare for loop
mov rsi, LineWidthMT;
mov rdi, LineWidthV;
mov r13, height;
mov r14, width;
sub r14, 4;
sub r13, 4;
js @@foryloopend;
// we need at least a width of 4 for the fast unrolled loop
cmp r14, 0;
jl @@foryloopend;
// init for x := 0 to width - 1:
@@foryloop:
// init values:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm1, ymm1, ymm1; {$ELSE}db $C5,$F5,$57,$C9;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm2, ymm2, ymm2; {$ELSE}db $C5,$ED,$57,$D2;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm3, ymm3, ymm3; {$ELSE}db $C5,$E5,$57,$DB;{$ENDIF} // res := 0;
mov rax, r8; // rax = first matrix element
mov rbx, r9; // rbx = first vector element
mov r10, r14; // r10 = width
@@forxloop:
{$IFDEF AVXSUP}vmovupd ymm4, [rbx]; {$ELSE}db $C5,$FD,$10,$23;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm5, [rax]; {$ELSE}db $C5,$FD,$10,$28;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm4, ymm5; {$ELSE}db $C4,$E2,$DD,$B8,$C5;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm5, [rax + rsi]; {$ELSE}db $C5,$FD,$10,$2C,$30;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm1, ymm4, ymm5; {$ELSE}db $C4,$E2,$DD,$B8,$CD;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm5, [rax + 2*rsi]; {$ELSE}db $C5,$FD,$10,$2C,$70;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm2, ymm4, ymm5; {$ELSE}db $C4,$E2,$DD,$B8,$D5;{$ENDIF}
add rax, rsi;
{$IFDEF AVXSUP}vmovupd ymm5, [rax + 2*rsi]; {$ELSE}db $C5,$FD,$10,$2C,$70;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm3, ymm4, ymm5; {$ELSE}db $C4,$E2,$DD,$B8,$DD;{$ENDIF}
sub rax, rsi;
add rax, 32;
add rbx, 32;
sub r10, 4;
jge @@forxloop;
{$IFDEF AVXSUP}vextractf128 xmm4, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C4,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm4; {$ELSE}db $C5,$F9,$7C,$C4;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm5, ymm1, 1; {$ELSE}db $C4,$E3,$7D,$19,$CD,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm1, xmm1, xmm5; {$ELSE}db $C5,$F1,$7C,$CD;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm4, ymm2, 1; {$ELSE}db $C4,$E3,$7D,$19,$D4,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm4; {$ELSE}db $C5,$E9,$7C,$D4;{$ENDIF}
{$IFDEF AVXSUP}vextractf128 xmm5, ymm3, 1; {$ELSE}db $C4,$E3,$7D,$19,$DD,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm3, xmm3, xmm5; {$ELSE}db $C5,$E1,$7C,$DD;{$ENDIF}
// special treatment for the last value(s):
add r10, 4;
jz @@resbuild;
@@shortloopx:
{$IFDEF AVXSUP}vmovsd xmm4, [rbx]; {$ELSE}db $C5,$FB,$10,$23;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [rax]; {$ELSE}db $C5,$FB,$10,$28;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm5; {$ELSE}db $C5,$FB,$58,$C5;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [rax + rsi]; {$ELSE}db $C5,$FB,$10,$2C,$30;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm1, xmm1, xmm5; {$ELSE}db $C5,$F3,$58,$CD;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [rax + 2*rsi]; {$ELSE}db $C5,$FB,$10,$2C,$70;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm2, xmm2, xmm5; {$ELSE}db $C5,$EB,$58,$D5;{$ENDIF}
add rax, rsi;
{$IFDEF AVXSUP}vmovsd xmm5, [rax + 2*rsi]; {$ELSE}db $C5,$FB,$10,$2C,$70;{$ENDIF}
sub rax, rsi;
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm3, xmm3, xmm5; {$ELSE}db $C5,$E3,$58,$DD;{$ENDIF}
add rax, 8;
add rbx, 8;
sub r10, 1;
jnz @@shortloopx;
@@resbuild:
// result building
// write back result (final addition and compactation)
// calculate dest = beta*dest + alpha*xmm0
{$IFDEF AVXSUP}vmovsd xmm5, [rcx]; {$ELSE}db $C5,$FB,$10,$29;{$ENDIF} // first element
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm5; {$ELSE}db $C5,$F9,$7C,$C5;{$ENDIF} // calculate xmm0_1 + xmm0_2 (store low) xmm5_1 + xmm5_2 (store high)
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // beta * dest + alpha*xmm0
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF} // final add
{$IFDEF AVXSUP}vmovsd [rcx], xmm0; {$ELSE}db $C5,$FB,$11,$01;{$ENDIF} // store back
add rcx, rdx;
add r8, rsi;
{$IFDEF AVXSUP}vmovsd xmm5, [rcx]; {$ELSE}db $C5,$FB,$10,$29;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm1, xmm1, xmm5; {$ELSE}db $C5,$F1,$7C,$CD;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm1, xmm1, xmm6; {$ELSE}db $C5,$F1,$59,$CE;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm1, xmm1, xmm1; {$ELSE}db $C5,$F1,$7C,$C9;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm1; {$ELSE}db $C5,$FB,$11,$09;{$ENDIF}
add rcx, rdx;
add r8, rsi;
{$IFDEF AVXSUP}vmovsd xmm5, [rcx]; {$ELSE}db $C5,$FB,$10,$29;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm5; {$ELSE}db $C5,$E9,$7C,$D5;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm2, xmm2, xmm6; {$ELSE}db $C5,$E9,$59,$D6;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm2, xmm2, xmm2; {$ELSE}db $C5,$E9,$7C,$D2;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm2; {$ELSE}db $C5,$FB,$11,$11;{$ENDIF}
add rcx, rdx;
add r8, rsi;
{$IFDEF AVXSUP}vmovsd xmm5, [rcx]; {$ELSE}db $C5,$FB,$10,$29;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm3, xmm3, xmm5; {$ELSE}db $C5,$E1,$7C,$DD;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm6; {$ELSE}db $C5,$E1,$59,$DE;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm3, xmm3, xmm3; {$ELSE}db $C5,$E1,$7C,$DB;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm3; {$ELSE}db $C5,$FB,$11,$19;{$ENDIF}
add rcx, rdx;
add r8, rsi;
// next rseult
sub r13, 4;
jge @@foryloop;
// ###########################################
// #### Remaining rows (max 4 or more if width is <4):
@@foryloopend:
add r13, 4;
jz @@vecend;
@@foryshortloop:
// init values:
{$IFDEF AVXSUP}vxorpd ymm0, ymm0, ymm0; {$ELSE}db $C5,$FD,$57,$C0;{$ENDIF}
mov rax, r8; // rax = first matrix element
mov rbx, r9; // rbx = first vector element
mov r10, r14; // r10 = width - 4
cmp r10, 0;
jl @@shortloopend;
@@forxshortloop:
{$IFDEF AVXSUP}vmovupd ymm4, [rbx]; {$ELSE}db $C5,$FD,$10,$23;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm5, [rax]; {$ELSE}db $C5,$FD,$10,$28;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm0, ymm4, ymm5; {$ELSE}db $C4,$E2,$DD,$B8,$C5;{$ENDIF}
add rax, 32;
add rbx, 32;
sub r10, 4;
jge @@forxshortloop;
{$IFDEF AVXSUP}vextractf128 xmm4, ymm0, 1; {$ELSE}db $C4,$E3,$7D,$19,$C4,$01;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm4; {$ELSE}db $C5,$F9,$7C,$C4;{$ENDIF}
@@shortloopend:
add r10, 4;
// test if there are elements left
jz @@resbuildshort;
@@forxshortestloop:
{$IFDEF AVXSUP}vmovsd xmm4, [rbx]; {$ELSE}db $C5,$FB,$10,$23;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [rax]; {$ELSE}db $C5,$FB,$10,$28;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$59,$EC;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm5; {$ELSE}db $C5,$FB,$58,$C5;{$ENDIF}
add rax, 8;
add rbx, 8;
dec r10;
jnz @@forxshortestloop;
@@resbuildshort:
// build result
// calculate dest = beta*dest + alpha*xmm0
{$IFDEF AVXSUP}vmovsd xmm5, [rcx]; {$ELSE}db $C5,$FB,$10,$29;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm5; {$ELSE}db $C5,$F9,$7C,$C5;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF}
{$IFDEF AVXSUP}vhaddpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$7C,$C0;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm0; {$ELSE}db $C5,$FB,$11,$01;{$ENDIF}
add rcx, rdx;
add r8, rsi;
dec r13;
jnz @@foryshortloop;
@@vecend:
// epilog pop "stack"
mov rbx, iRBX;
mov rsi, iRSI;
mov rdi, iRDI;
mov r12, iR12;
mov r13, iR13;
mov r14, iR14;
{$IFDEF AVXSUP}vmovupd xmm4, [rsp + $00]; {$ELSE}db $C5,$F9,$10,$24,$24;{$ENDIF}
{$IFDEF AVXSUP}vmovupd xmm5, [rsp + $10]; {$ELSE}db $C5,$F9,$10,$6C,$24,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovupd xmm6, [rsp + $20]; {$ELSE}db $C5,$F9,$10,$74,$24,$20;{$ENDIF}
add rsp, $30;
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
end;
// this function is not that well suited for use of simd instructions...
// so only this version exists
procedure FMAMatrixVectMultT(dest : PDouble; destLineWidth : NativeInt; mt1, v : PDouble; {$ifdef UNIX}unixLineWidthMT{$ELSE}LineWidthMT{$endif}, {$ifdef UNIX}unixLineWidthV{$ELSE}LineWidthV{$endif} : NativeInt; width, height : NativeInt; {$ifdef UNIX}unixalpha {$ELSE}alpha{$ENDIF}, {$ifdef UNIX}unixbeta {$ELSE}beta{$ENDIF} : double); {$IFDEF FPC}assembler;{$ENDIF}
var iRBX, iRSI, iRDI, iR12, iR13, iR14 : NativeInt;
{$ifdef UNIX}
LineWidthMT, LineWidthV : NativeInt;
alpha, beta : double;
{$endif}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
movsd alpha, unixalpha;
movsd beta, unixbeta;
mov LineWidthMT, r8;
mov LineWidthV, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// prolog - simulate stack
mov iRBX, rbx;
mov iRSI, rsi;
mov iRDI, rdi;
mov iR12, r12;
mov iR13, r13;
mov iR14, r14;
sub rsp, $40;
{$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}
{$IFDEF AVXSUP}vmovupd [rsp + $20], xmm6; {$ELSE}db $C5,$F9,$11,$74,$24,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rsp + $30], xmm7; {$ELSE}db $C5,$F9,$11,$7C,$24,$30;{$ENDIF}
// for the final multiplication
lea rax, alpha;
{$IFDEF AVXSUP}vbroadcastsd ymm6, [rax]; {$ELSE}db $C4,$E2,$7D,$19,$30;{$ENDIF}
lea rax, beta;
{$IFDEF AVXSUP}vbroadcastsd ymm7, [rax]; {$ELSE}db $C4,$E2,$7D,$19,$38;{$ENDIF}
// prepare for loop
mov rsi, LineWidthMT;
mov rdi, LineWidthV;
mov r13, height;
mov r14, width;
sub r14, 16;
js @@forxloopend;
sub rsp, $40;
{$IFDEF AVXSUP}vmovupd [rsp + $00], ymm8; {$ELSE}db $C5,$7D,$11,$04,$24;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rsp + $10], ymm9; {$ELSE}db $C5,$7D,$11,$4C,$24,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rsp + $20], ymm10; {$ELSE}db $C5,$7D,$11,$54,$24,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rsp + $30], ymm11; {$ELSE}db $C5,$7D,$11,$5C,$24,$30;{$ENDIF}
// init for x := 0 to width - 1:
@@forxloop:
// init values:
{$IFDEF AVXSUP}vxorpd ymm8, ymm8, ymm8; {$ELSE}db $C4,$41,$3D,$57,$C0;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm9, ymm9, ymm9; {$ELSE}db $C4,$41,$35,$57,$C9;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm10, ymm10, ymm10; {$ELSE}db $C4,$41,$2D,$57,$D2;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm11, ymm11, ymm11; {$ELSE}db $C4,$41,$25,$57,$DB;{$ENDIF}
mov rax, r8; // rax = first matrix element
mov rbx, r9; // rbx = first vector element
mov r10, r13;
@@foryloop:
{$IFDEF AVXSUP}vbroadcastsd ymm3, [rbx]; {$ELSE}db $C4,$E2,$7D,$19,$1B;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [rax]; {$ELSE}db $C5,$FD,$10,$20;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm8, ymm3, ymm4; {$ELSE}db $C4,$62,$E5,$B8,$C4;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [rax + 32]; {$ELSE}db $C5,$FD,$10,$60,$20;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm9, ymm3, ymm4; {$ELSE}db $C4,$62,$E5,$B8,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [rax + 64]; {$ELSE}db $C5,$FD,$10,$60,$40;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm10, ymm3, ymm4; {$ELSE}db $C4,$62,$E5,$B8,$D4;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [rax + 96]; {$ELSE}db $C5,$FD,$10,$60,$60;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm11, ymm3, ymm4; {$ELSE}db $C4,$62,$E5,$B8,$DC;{$ENDIF}
add rax, rsi;
add rbx, rdi;
dec r10;
jnz @@foryloop;
// result building
// write back result (final addition and compactation)
// calculate dest = beta*dest + alpha*xmm0
// first two
{$IFDEF AVXSUP}vmovsd xmm3, [rcx]; {$ELSE}db $C5,$FB,$10,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [rcx + rdx]; {$ELSE}db $C5,$FB,$10,$24,$11;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
{$IFDEF AVXSUP}vmovapd xmm0, xmm8; {$ELSE}db $C5,$79,$29,$C0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovhlps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$12,$E3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm3; {$ELSE}db $C5,$FB,$11,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx + rdx], xmm4; {$ELSE}db $C5,$FB,$11,$24,$11;{$ENDIF}
add rcx, rdx;
add rcx, rdx;
// second two
{$IFDEF AVXSUP}vmovsd xmm3, [rcx]; {$ELSE}db $C5,$FB,$10,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [rcx + rdx]; {$ELSE}db $C5,$FB,$10,$24,$11;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
//movupd xmm0, res1;
{$IFDEF AVXSUP}vextractf128 xmm0, ymm8, 1; {$ELSE}db $C4,$63,$7D,$19,$C0,$01;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovhlps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$12,$E3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm3; {$ELSE}db $C5,$FB,$11,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx + rdx], xmm4; {$ELSE}db $C5,$FB,$11,$24,$11;{$ENDIF}
add rcx, rdx;
add rcx, rdx;
// third two
{$IFDEF AVXSUP}vmovsd xmm3, [rcx]; {$ELSE}db $C5,$FB,$10,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [rcx + rdx]; {$ELSE}db $C5,$FB,$10,$24,$11;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
{$IFDEF AVXSUP}vmovapd xmm0, xmm9; {$ELSE}db $C5,$79,$29,$C8;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovhlps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$12,$E3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm3; {$ELSE}db $C5,$FB,$11,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx + rdx], xmm4; {$ELSE}db $C5,$FB,$11,$24,$11;{$ENDIF}
add rcx, rdx;
add rcx, rdx;
// forth two
{$IFDEF AVXSUP}vmovsd xmm3, [rcx]; {$ELSE}db $C5,$FB,$10,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [rcx + rdx]; {$ELSE}db $C5,$FB,$10,$24,$11;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
//movupd xmm0, res3;
{$IFDEF AVXSUP}vextractf128 xmm0, ymm9, 1; {$ELSE}db $C4,$63,$7D,$19,$C8,$01;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovhlps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$12,$E3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm3; {$ELSE}db $C5,$FB,$11,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx + rdx], xmm4; {$ELSE}db $C5,$FB,$11,$24,$11;{$ENDIF}
add rcx, rdx;
add rcx, rdx;
// fith two
{$IFDEF AVXSUP}vmovsd xmm3, [rcx]; {$ELSE}db $C5,$FB,$10,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [rcx + rdx]; {$ELSE}db $C5,$FB,$10,$24,$11;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
//movupd xmm0, res4;
{$IFDEF AVXSUP}vmovapd xmm0, xmm10; {$ELSE}db $C5,$79,$29,$D0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovhlps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$12,$E3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm3; {$ELSE}db $C5,$FB,$11,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx + rdx], xmm4; {$ELSE}db $C5,$FB,$11,$24,$11;{$ENDIF}
add rcx, rdx;
add rcx, rdx;
// sixth two
{$IFDEF AVXSUP}vmovsd xmm3, [rcx]; {$ELSE}db $C5,$FB,$10,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [rcx + rdx]; {$ELSE}db $C5,$FB,$10,$24,$11;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
//movupd xmm0, res5;
{$IFDEF AVXSUP}vextractf128 xmm0, ymm10, 1; {$ELSE}db $C4,$63,$7D,$19,$D0,$01;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovhlps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$12,$E3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm3; {$ELSE}db $C5,$FB,$11,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx + rdx], xmm4; {$ELSE}db $C5,$FB,$11,$24,$11;{$ENDIF}
add rcx, rdx;
add rcx, rdx;
// seventh two
{$IFDEF AVXSUP}vmovsd xmm3, [rcx]; {$ELSE}db $C5,$FB,$10,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [rcx + rdx]; {$ELSE}db $C5,$FB,$10,$24,$11;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
//movupd xmm0, res6;
{$IFDEF AVXSUP}vmovapd xmm0, xmm11; {$ELSE}db $C5,$79,$29,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovhlps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$12,$E3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm3; {$ELSE}db $C5,$FB,$11,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx + rdx], xmm4; {$ELSE}db $C5,$FB,$11,$24,$11;{$ENDIF}
add rcx, rdx;
add rcx, rdx;
// eighth two
{$IFDEF AVXSUP}vmovsd xmm3, [rcx]; {$ELSE}db $C5,$FB,$10,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, [rcx + rdx]; {$ELSE}db $C5,$FB,$10,$24,$11;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
//movupd xmm0, res7;
{$IFDEF AVXSUP}vextractf128 xmm0, ymm11, 1; {$ELSE}db $C4,$63,$7D,$19,$D8,$01;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm0, xmm0, xmm6; {$ELSE}db $C5,$F9,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovhlps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$12,$E3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm3; {$ELSE}db $C5,$FB,$11,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx + rdx], xmm4; {$ELSE}db $C5,$FB,$11,$24,$11;{$ENDIF}
add rcx, rdx;
add rcx, rdx;
// next results:
add r8, 8*16; // next mt1 element
sub r14, 16;
jns @@forxloop;
{$IFDEF AVXSUP}vmovupd ymm8, [rsp + $00]; {$ELSE}db $C5,$7D,$10,$04,$24;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm9, [rsp + $10]; {$ELSE}db $C5,$7D,$10,$4C,$24,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm10, [rsp + $20]; {$ELSE}db $C5,$7D,$10,$54,$24,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm11, [rsp + $30]; {$ELSE}db $C5,$7D,$10,$5C,$24,$30;{$ENDIF}
add rsp, $40;
@@forxloopend:
// ###########################################
// elements that not fit into mod 16
add r14, 16;
jz @@vecaddend;
@@forxshortloop:
{$IFDEF AVXSUP}vxorpd xmm0, xmm0, xmm0; {$ELSE}db $C5,$F9,$57,$C0;{$ENDIF} // first two elements
mov rax, r8; // rax = first matrix element
mov rbx, r9; // rbx = first vector element
mov r10, r13;
@@forshortyloop:
{$IFDEF AVXSUP}vmovsd xmm1, [rax]; {$ELSE}db $C5,$FB,$10,$08;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm2, [rbx]; {$ELSE}db $C5,$FB,$10,$13;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm1, xmm1, xmm2; {$ELSE}db $C5,$F3,$59,$CA;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm1; {$ELSE}db $C5,$FB,$58,$C1;{$ENDIF}
add rax, rsi;
add rbx, rdi;
dec r10;
jnz @@forshortyloop;
{$IFDEF AVXSUP}vmulsd xmm0, xmm0, xmm6; {$ELSE}db $C5,$FB,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmovsd xmm3, [rcx]; {$ELSE}db $C5,$FB,$10,$19;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E3,$59,$DF;{$ENDIF} //dest*beta
{$IFDEF AVXSUP}vaddsd xmm0, xmm0, xmm3; {$ELSE}db $C5,$FB,$58,$C3;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [rcx], xmm0; {$ELSE}db $C5,$FB,$11,$01;{$ENDIF}
// next row
add rcx, rdx;
add r8, 8;
dec r14;
jnz @@forxshortloop;
@@vecaddend:
// epilog pop "stack"
mov rbx, iRBX;
mov rsi, iRSI;
mov rdi, iRDI;
mov r12, iR12;
mov r13, iR13;
mov r14, iR14;
{$IFDEF AVXSUP}vmovupd xmm4, [rsp + $00]; {$ELSE}db $C5,$F9,$10,$24,$24;{$ENDIF}
{$IFDEF AVXSUP}vmovupd xmm5, [rsp + $10]; {$ELSE}db $C5,$F9,$10,$6C,$24,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovupd xmm6, [rsp + $20]; {$ELSE}db $C5,$F9,$10,$74,$24,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovupd xmm7, [rsp + $30]; {$ELSE}db $C5,$F9,$10,$7C,$24,$30;{$ENDIF}
add rsp, $40;
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
end;
procedure FMAMatrixVecMultTDestVec(dest : PDouble; destLineWidth : NativeInt; mt1, v : PDouble; {$ifdef UNIX}unixLineWidthMT{$ELSE}LineWidthMT{$endif}, {$ifdef UNIX}unixLineWidthV{$ELSE}LineWidthV{$endif} : NativeInt; width, height : NativeInt; {$ifdef UNIX}unixalpha {$ELSE}alpha{$ENDIF}, {$ifdef UNIX}unixbeta {$ELSE}beta{$ENDIF} : double); {$IFDEF FPC}assembler;{$ENDIF}
var iRBX, iRSI, iRDI, iR12, iR13, iR14 : NativeInt;
{$ifdef UNIX}
LineWidthMT, LineWidthV : NativeInt;
alpha, beta : double;
{$endif}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov LineWidthMT, r8;
mov LineWidthV, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
movsd alpha, unixalpha;
movsd beta, unixbeta;
{$ENDIF}
// prolog - simulate stack
mov iRBX, rbx;
mov iRSI, rsi;
mov iRDI, rdi;
mov iR12, r12;
mov iR13, r13;
mov iR14, r14;
sub rsp, $40;
{$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}
{$IFDEF AVXSUP}vmovupd [rsp + $20], xmm6; {$ELSE}db $C5,$F9,$11,$74,$24,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rsp + $30], xmm7; {$ELSE}db $C5,$F9,$11,$7C,$24,$30;{$ENDIF}
// for the final multiplication
lea rax, alpha;
{$IFDEF AVXSUP}vbroadcastsd ymm6, [rax]; {$ELSE}db $C4,$E2,$7D,$19,$30;{$ENDIF}
lea rax, beta;
{$IFDEF AVXSUP}vbroadcastsd ymm7, [rax]; {$ELSE}db $C4,$E2,$7D,$19,$38;{$ENDIF}
// prepare for loop
mov rsi, LineWidthMT;
mov rdi, LineWidthV;
mov r13, height;
mov r14, width;
sub r14, 16;
js @@forxloopend;
sub rsp, $40;
{$IFDEF AVXSUP}vmovupd [rsp + $00], ymm8; {$ELSE}db $C5,$7D,$11,$04,$24;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rsp + $10], ymm9; {$ELSE}db $C5,$7D,$11,$4C,$24,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rsp + $20], ymm10; {$ELSE}db $C5,$7D,$11,$54,$24,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rsp + $30], ymm11; {$ELSE}db $C5,$7D,$11,$5C,$24,$30;{$ENDIF}
// init for x := 0 to width - 1:
@@forxloop:
// init values:
{$IFDEF AVXSUP}vxorpd ymm8, ymm8, ymm8; {$ELSE}db $C4,$41,$3D,$57,$C0;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm9, ymm9, ymm9; {$ELSE}db $C4,$41,$35,$57,$C9;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm10, ymm10, ymm10; {$ELSE}db $C4,$41,$2D,$57,$D2;{$ENDIF}
{$IFDEF AVXSUP}vxorpd ymm11, ymm11, ymm11; {$ELSE}db $C4,$41,$25,$57,$DB;{$ENDIF}
mov rax, r8; // rax = first matrix element
mov rbx, r9; // rbx = first vector element
mov r10, r13;
@@foryloop:
{$IFDEF AVXSUP}vbroadcastsd ymm3, [rbx]; {$ELSE}db $C4,$E2,$7D,$19,$1B;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [rax]; {$ELSE}db $C5,$FD,$10,$20;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm8, ymm3, ymm4; {$ELSE}db $C4,$62,$E5,$B8,$C4;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [rax + 32]; {$ELSE}db $C5,$FD,$10,$60,$20;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm9, ymm3, ymm4; {$ELSE}db $C4,$62,$E5,$B8,$CC;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [rax + 64]; {$ELSE}db $C5,$FD,$10,$60,$40;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm10, ymm3, ymm4; {$ELSE}db $C4,$62,$E5,$B8,$D4;{$ENDIF}
{$IFDEF AVXSUP}vmovupd ymm4, [rax + 96]; {$ELSE}db $C5,$FD,$10,$60,$60;{$ENDIF}
{$IFDEF AVXSUP}vfmadd231pd ymm11, ymm3, ymm4; {$ELSE}db $C4,$62,$E5,$B8,$DC;{$ENDIF}
add rax, rsi;
add rbx, rdi;
dec r10;
jnz @@foryloop;
// result building
// write back result (final addition and compactation)
// calculate dest = beta*dest + alpha*xmm0
// first 4
{$IFDEF AVXSUP}vmovupd ymm3, [rcx]; {$ELSE}db $C5,$FD,$10,$19;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm8, ymm8, ymm6; {$ELSE}db $C5,$3D,$59,$C6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm7; {$ELSE}db $C5,$E5,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd ymm3, ymm3, ymm8; {$ELSE}db $C4,$C1,$65,$58,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rcx], ymm3; {$ELSE}db $C5,$FD,$11,$19;{$ENDIF}
add rcx, 32;
// second 4
{$IFDEF AVXSUP}vmovupd ymm3, [rcx]; {$ELSE}db $C5,$FD,$10,$19;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm9, ymm9, ymm6; {$ELSE}db $C5,$35,$59,$CE;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm7; {$ELSE}db $C5,$E5,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd ymm3, ymm3, ymm9; {$ELSE}db $C4,$C1,$65,$58,$D9;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rcx], ymm3; {$ELSE}db $C5,$FD,$11,$19;{$ENDIF}
add rcx, 32;
// third 4
{$IFDEF AVXSUP}vmovupd ymm3, [rcx]; {$ELSE}db $C5,$FD,$10,$19;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm10, ymm10, ymm6; {$ELSE}db $C5,$2D,$59,$D6;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm7; {$ELSE}db $C5,$E5,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd ymm3, ymm3, ymm10; {$ELSE}db $C4,$C1,$65,$58,$DA;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rcx], ymm3; {$ELSE}db $C5,$FD,$11,$19;{$ENDIF}
add rcx, 32;
// forth 4
{$IFDEF AVXSUP}vmovupd ymm3, [rcx]; {$ELSE}db $C5,$FD,$10,$19;{$ENDIF}
{$IFDEF AVXSUP}vmulpd ymm11, ymm11, ymm6; {$ELSE}db $C5,$25,$59,$DE;{$ENDIF} // alpha*res
{$IFDEF AVXSUP}vmulpd ymm3, ymm3, ymm7; {$ELSE}db $C5,$E5,$59,$DF;{$ENDIF} // dest*beta
{$IFDEF AVXSUP}vaddpd ymm3, ymm3, ymm11; {$ELSE}db $C4,$C1,$65,$58,$DB;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [rcx], ymm3; {$ELSE}db $C5,$FD,$11,$19;{$ENDIF}
add rcx, 32;
// next results:
add r8, 8*16; // next mt1 element
sub r14, 16;
jns @@forxloop;