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AVXMatrixRotations.pas
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AVXMatrixRotations.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.
// ###################################################################
// Vector/Matrix rotation routines mainly used for the SVD
unit AVXMatrixRotations;
interface
{$I 'mrMath_CPU.inc'}
{$IFNDEF x64}
uses MatrixConst;
procedure AVXApplyPlaneRotSeqRVB(width, height : NativeInt; A : PDouble; const LineWidthA : NativeInt; C, S : PConstDoubleArr); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure AVXApplyPlaneRotSeqRVF(width, height : NativeInt; A : PDouble; const LineWidthA : NativeInt; C, S : PConstDoubleArr); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure AVXApplyPlaneRotSeqLVF(width, height : NativeInt; A : PDouble; const LineWidthA : NativeInt; C, S : PConstDoubleArr); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure AVXApplyPlaneRotSeqLVB(width, height : NativeInt; A : PDouble; const LineWidthA : NativeInt; C, S : PConstDoubleArr); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
procedure AVXMatrixRotate(N : NativeInt; X : PDouble; const LineWidthDX : NativeInt; Y : PDouble; LineWidthDY : NativeInt; const c, s : double);
{$ENDIF}
implementation
{$IFNDEF x64}
const cLocMinusOne : double = -1;
cLocOne : double = 1;
cLocMulM1Bits : Array[0..1] of Int64 = ($8000000000000000, $0);
procedure AVXApplyPlaneRotSeqLVB(width, height : NativeInt; A : PDouble; const LineWidthA : NativeInt; C, S : PConstDoubleArr);
var y2 : NativeInt;
iter : NativeInt;
// eax = width, edx = height, ecx = A
asm
push ebx;
push edi;
push esi;
// store "is odd" flag
mov esi, eax;
and esi, 1;
// if (height < 2) or (width < 1) then exit;
cmp eax, 1;
jl @@endproc;
cmp edx, 2;
jl @@endproc;
// y2 := height - 1;
dec edx;
mov y2, edx;
// iter := -(width and $FFFFFFFE)*sizeof(double);
and eax, $FFFFFFFE;
imul eax, -8;
mov iter, eax;
mov eax, c; // point to y (aka the end)
mov ebx, s;
mov edi, y2;
dec edi;
shl edi, 3; // y2*sizeof(double)
add eax, edi;
add ebx, edi;
//mov ecx, A; // A[y + 1][x]
mov edi, LineWidthA;
imul edi, y2;
add ecx, edi;
sub ecx, iter;
lea edx, cLocOne;
{$IFDEF AVXSUP}vmovsd xmm7, [edx]; {$ELSE}db $C5,$FB,$10,$3A;{$ENDIF}
mov edx, ecx; // A[y][x]
sub edx, LineWidthA;
{$IFDEF AVXSUP}vxorpd xmm6, xmm6, xmm6; {$ELSE}db $C5,$C9,$57,$F6;{$ENDIF} // compare reference
@@foryloop:
{$IFDEF AVXSUP}vmovddup xmm0, [eax]; {$ELSE}db $C5,$FB,$12,$00;{$ENDIF} // c[y]
{$IFDEF AVXSUP}vmovddup xmm1, [ebx]; {$ELSE}db $C5,$FB,$12,$0B;{$ENDIF} // s[y]
// ###########################################
// #### if (ctemp <> 1) or (stemp <> 0) then
{$IFDEF AVXSUP}vcomisd xmm0, xmm7; {$ELSE}db $C5,$F9,$2F,$C7;{$ENDIF} // = 1
jne @@beginXLoop;
{$IFDEF AVXSUP}vcomisd xmm1, xmm6; {$ELSE}db $C5,$F9,$2F,$CE;{$ENDIF} // = 0
jne @@beginXLoop;
jmp @@nextLine; // c=1 and stemp=0 next line -> the statement
// ###########################################
// #### for x := 0 to width - 1 do
@@beginXLoop:
// init
mov edi, iter;
test edi, edi;
jz @@LastElem;
@@forxloop:
//temp := pcAy1^[x];
// pcAy1^[x] := cTemp*temp - stemp*pcAy^[x];
// pcAy1^[x + 1] := cTemp*temp1 - stemp*pcAy1[x + 1];
// evaluate 2 values
{$IFDEF AVXSUP}vmovupd xmm2, [edx + edi]; {$ELSE}db $C5,$F9,$10,$14,$3A;{$ENDIF}
{$IFDEF AVXSUP}vmovupd xmm3, [ecx + edi]; {$ELSE}db $C5,$F9,$10,$1C,$39;{$ENDIF}
// temp store...
{$IFDEF AVXSUP}vmovapd xmm4, xmm2 {$ELSE}db $C5,$F9,$29,$D4;{$ENDIF}
{$IFDEF AVXSUP}vmovapd xmm5, xmm3; {$ELSE}db $C5,$F9,$29,$DD;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E1,$59,$D8;{$ENDIF} // ctemp*pcay1^[x] and ctemp*a[x+1]
{$IFDEF AVXSUP}vmulpd xmm2, xmm2, xmm1; {$ELSE}db $C5,$E9,$59,$D1;{$ENDIF} // stemp*pcAy^[x] and stemp*a[x+1]
{$IFDEF AVXSUP}vsubpd xmm3, xmm3, xmm2; {$ELSE}db $C5,$E1,$5C,$DA;{$ENDIF}
// pcAy^[x] := stemp*temp + ctemp*pcAy^[x];
// pcAy^[x + 1] := stemp*temp1 + ctemp*pcAy^[x + 1]
{$IFDEF AVXSUP}vmulpd xmm4, xmm4, xmm0; {$ELSE}db $C5,$D9,$59,$E0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm5, xmm5, xmm1; {$ELSE}db $C5,$D1,$59,$E9;{$ENDIF}
{$IFDEF AVXSUP}vaddpd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D1,$58,$EC;{$ENDIF}
// write back...
{$IFDEF AVXSUP}vmovupd [edx + edi], xmm5; {$ELSE}db $C5,$F9,$11,$2C,$3A;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [ecx + edi], xmm3; {$ELSE}db $C5,$F9,$11,$1C,$39;{$ENDIF}
add edi, 16;
jnz @@forxloop;
@@LastElem:
// ###########################################
// #### Last element handling
cmp esi, 1;
jne @@nextLine;
// same as above but with single elements
{$IFDEF AVXSUP}vmovsd xmm2, [edx]; {$ELSE}db $C5,$FB,$10,$12;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm3, [ecx]; {$ELSE}db $C5,$FB,$10,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovapd xmm4, xmm2; {$ELSE}db $C5,$F9,$29,$D4;{$ENDIF}
{$IFDEF AVXSUP}vmovapd xmm5, xmm3; {$ELSE}db $C5,$F9,$29,$DD;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm3, xmm3, xmm0; {$ELSE}db $C5,$E3,$59,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm2, xmm2, xmm1; {$ELSE}db $C5,$EB,$59,$D1;{$ENDIF}
{$IFDEF AVXSUP}vsubsd xmm3, xmm3, xmm2; {$ELSE}db $C5,$E3,$5C,$DA;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm4, xmm4, xmm0; {$ELSE}db $C5,$DB,$59,$E0;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm1; {$ELSE}db $C5,$D3,$59,$E9;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$58,$EC;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [edx], xmm5; {$ELSE}db $C5,$FB,$11,$2A;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [ecx], xmm3; {$ELSE}db $C5,$FB,$11,$19;{$ENDIF}
// ###########################################
// #### next y
@@nextLine:
sub ebx, 8; // sizeof(double)
sub eax, 8;
sub edx, LineWidthA;
sub ecx, LineWidthA;
dec y2;
jnz @@foryloop;
// epilog
@@endproc:
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop esi;
pop edi;
pop ebx;
end;
procedure AVXApplyPlaneRotSeqLVF(width, height : NativeInt; A : PDouble; const LineWidthA : NativeInt; C, S : PConstDoubleArr);
var y2 : NativeInt;
iter : NativeInt;
asm
push ebx;
push edi;
push esi;
// if (height < 2) or (width < 1) then
// exit;
mov esi, eax;
and esi, 1;
cmp eax, 1;
jl @@endproc;
cmp edx, 2;
jl @@endproc;
//y2 := height - 1;
//iter := -(width and $FFFFFFFE)*sizeof(double);
dec edx;
mov y2, edx;
and eax, $FFFFFFFE;
imul eax, -8;
mov iter, eax;
mov eax, c;
mov ebx, s;
sub ecx, iter;
lea edx, cLocOne;
{$IFDEF AVXSUP}vmovsd xmm7, [edx]; {$ELSE}db $C5,$FB,$10,$3A;{$ENDIF}
mov edx, ecx; // A[y+1][x]
add edx, LineWidthA;
@@foryloop:
{$IFDEF AVXSUP}vmovddup xmm0, [eax]; {$ELSE}db $C5,$FB,$12,$00;{$ENDIF} // c[y]
{$IFDEF AVXSUP}vmovddup xmm1, [ebx]; {$ELSE}db $C5,$FB,$12,$0B;{$ENDIF} // s[y]
// ###########################################
// #### if (ctemp <> 1) or (stemp <> 0) then
{$IFDEF AVXSUP}vcomisd xmm0, xmm7; {$ELSE}db $C5,$F9,$2F,$C7;{$ENDIF} // = 1
jne @@beginXLoop;
{$IFDEF AVXSUP}vcomisd xmm1, xmm6; {$ELSE}db $C5,$F9,$2F,$CE;{$ENDIF} // = 0
jne @@beginXLoop;
jmp @@nextLine; // c=1 and stemp=0 next line -> the statement
// ###########################################
// #### for x := 0 to width - 1 do
@@beginXLoop:
// init
mov edi, iter;
test edi, edi;
jz @@LastElem;
@@forxloop:
//temp := pcAy1^[x];
// pcAy1^[x] := cTemp*temp - stemp*pcAy^[x];
// pcAy1^[x + 1] := cTemp*temp1 - stemp*pcAy1[x + 1];
// evaluate 2 values
{$IFDEF AVXSUP}vmovupd xmm2, [ecx + edi]; {$ELSE}db $C5,$F9,$10,$14,$39;{$ENDIF}
{$IFDEF AVXSUP}vmovupd xmm3, [edx + edi]; {$ELSE}db $C5,$F9,$10,$1C,$3A;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm5, xmm3, xmm0; {$ELSE}db $C5,$E1,$59,$E8;{$ENDIF} // ctemp*pcay1^[x] and ctemp*a[x+1]
{$IFDEF AVXSUP}vmulpd xmm4, xmm2, xmm1; {$ELSE}db $C5,$E9,$59,$E1;{$ENDIF} // stemp*pcAy^[x] and stemp*a[x+1]
//subpd xmm3, xmm2;
{$IFDEF AVXSUP}vsubpd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D1,$5C,$EC;{$ENDIF}
// pcAy^[x] := stemp*temp + ctemp*pcAy^[x];
// pcAy^[x + 1] := stemp*temp1 + ctemp*pcAy^[x + 1]
{$IFDEF AVXSUP}vmulpd xmm2, xmm2, xmm0; {$ELSE}db $C5,$E9,$59,$D0;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm1; {$ELSE}db $C5,$E1,$59,$D9;{$ENDIF}
//addpd xmm5, xmm4;
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm2; {$ELSE}db $C5,$E1,$58,$DA;{$ENDIF}
// write back...
{$IFDEF AVXSUP}vmovupd [ecx + edi], xmm3; {$ELSE}db $C5,$F9,$11,$1C,$39;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [edx + edi], xmm5; {$ELSE}db $C5,$F9,$11,$2C,$3A;{$ENDIF}
add edi, 16;
jnz @@forxloop;
@@LastElem:
// ###########################################
// #### Last element handling
cmp esi, 1;
jne @@nextLine;
// same as above but with single elements
{$IFDEF AVXSUP}vmovsd xmm4, [ecx]; {$ELSE}db $C5,$FB,$10,$21;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [edx]; {$ELSE}db $C5,$FB,$10,$2A;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm3, xmm5, xmm0; {$ELSE}db $C5,$D3,$59,$D8;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm2, xmm4, xmm1; {$ELSE}db $C5,$DB,$59,$D1;{$ENDIF}
{$IFDEF AVXSUP}vsubsd xmm3, xmm3, xmm2; {$ELSE}db $C5,$E3,$5C,$DA;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm4, xmm4, xmm0; {$ELSE}db $C5,$DB,$59,$E0;{$ENDIF}
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm1; {$ELSE}db $C5,$D3,$59,$E9;{$ENDIF}
{$IFDEF AVXSUP}vaddsd xmm5, xmm5, xmm4; {$ELSE}db $C5,$D3,$58,$EC;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [ecx], xmm5; {$ELSE}db $C5,$FB,$11,$29;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [edx], xmm3; {$ELSE}db $C5,$FB,$11,$1A;{$ENDIF}
// ###########################################
// #### next y
@@nextLine:
add ebx, 8; // sizeof(double)
add eax, 8;
add ecx, LineWidthA;
add edx, LineWidthA;
dec y2;
jnz @@foryloop;
@@endproc:
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop esi;
pop edi;
pop ebx;
end;
procedure AVXApplyPlaneRotSeqRVB(width, height : NativeInt; A : PDouble; const LineWidthA : NativeInt; C, S : PConstDoubleArr);
// eax = width, edx = height, ecx = A
asm
// if (height <= 0) or (width <= 1) then exit;
cmp eax, 1;
jle @@endProc;
cmp edx, 0;
jle @@endProc;
push ebx;
push edi;
push esi;
// w2 := width - 1;
// iter := w2*sizeof(double);
dec eax;
imul eax, 8;
mov esi, c;
mov ebx, s;
lea edi, cLocMulM1Bits;
{$IFDEF AVXSUP}vmovupd xmm7, [edi]; {$ELSE}db $C5,$F9,$10,$3F;{$ENDIF}
@@foryloop:
mov edi, eax; //iter;
{$IFDEF AVXSUP}vmovhpd xmm2, xmm2, [ecx + edi]; {$ELSE}db $C5,$E9,$16,$14,$39;{$ENDIF}
// for x := width - 2 downto 0
@@forxloop:
{$IFDEF AVXSUP}vmovsd xmm4, [esi + edi - 8]; {$ELSE}db $C5,$FB,$10,$64,$3E,$F8;{$ENDIF} // store c
{$IFDEF AVXSUP}vmovsd xmm3, [ebx + edi - 8]; {$ELSE}db $C5,$FB,$10,$5C,$3B,$F8;{$ENDIF} // store s
{$IFDEF AVXSUP}vmovlpd xmm2, xmm2, [ecx + edi - 8]; {$ELSE}db $C5,$E9,$12,$54,$39,$F8;{$ENDIF} // a[x], a[x+1]
// handle x, x+1
// ####################################
// #### x, x+ 1
{$IFDEF AVXSUP}vmovlhps xmm3, xmm3, xmm4; {$ELSE}db $C5,$E0,$16,$DC;{$ENDIF}
{$IFDEF AVXSUP}vmovlhps xmm4, xmm4, xmm3; {$ELSE}db $C5,$D8,$16,$E3;{$ENDIF}
{$IFDEF AVXSUP}vxorpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$57,$DF;{$ENDIF} // -s, c
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm2; {$ELSE}db $C5,$E1,$59,$DA;{$ENDIF} // a[x+1)*c[x] - s[x]*a[x]
{$IFDEF AVXSUP}vhaddpd xmm3, xmm3, xmm3; {$ELSE}db $C5,$E1,$7C,$DB;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm4, xmm4, xmm2; {$ELSE}db $C5,$D9,$59,$E2;{$ENDIF} // a[x+1]*s[x] + a[x]*c[x]
{$IFDEF AVXSUP}vhaddpd xmm4, xmm4, xmm4; {$ELSE}db $C5,$D9,$7C,$E4;{$ENDIF}
// write back first two values
{$IFDEF AVXSUP}vmovlhps xmm2, xmm2, xmm4; {$ELSE}db $C5,$E8,$16,$D4;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [ecx + edi], xmm3; {$ELSE}db $C5,$FB,$11,$1C,$39;{$ENDIF}
// next one
sub edi, 8;
jnz @@forxloop;
{$IFDEF AVXSUP}vmovsd [ecx + edi], xmm4; {$ELSE}db $C5,$FB,$11,$24,$39;{$ENDIF}
add ecx, LineWidthA;
dec edx;
jnz @@foryloop;
// epilog
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop esi;
pop edi;
pop ebx;
@@endProc:
end;
procedure AVXApplyPlaneRotSeqRVF(width, height : NativeInt; A : PDouble; const LineWidthA : NativeInt; C, S : PConstDoubleArr);
// eax = width, edx = height, ecx = A
asm
// if (height <= 0) or (width <= 1) then exit;
cmp eax, 1;
jle @@endProc;
cmp edx, 0;
jle @@endProc;
push ebx;
push edi;
push esi;
// iter
dec eax;
imul eax, -8;
mov esi, c;
mov ebx, s;
sub esi, eax;
sub ebx, eax;
sub ecx, eax;
lea edi, cLocMulM1Bits;
{$IFDEF AVXSUP}vmovupd xmm7, [edi]; {$ELSE}db $C5,$F9,$10,$3F;{$ENDIF}
@@foryloop:
mov edi, eax;
movsd xmm2, [ecx + edi];
@@forxloop:
{$IFDEF AVXSUP}vmovsd xmm4, [esi + edi]; {$ELSE}db $C5,$FB,$10,$24,$3E;{$ENDIF} // store c
{$IFDEF AVXSUP}vmovhpd xmm4, xmm4, [ebx + edi]; {$ELSE}db $C5,$D9,$16,$24,$3B;{$ENDIF} // store s
{$IFDEF AVXSUP}vshufpd xmm3, xmm4, xmm4, 1; {$ELSE}db $C5,$D9,$C6,$DC,$01;{$ENDIF}
{$IFDEF AVXSUP}vmovhpd xmm2, xmm2, [ecx + edi + 8]; {$ELSE}db $C5,$E9,$16,$54,$39,$08;{$ENDIF} // a[x], a[x+1]
// handle x, x+1
// ####################################
// #### x, x+ 1
{$IFDEF AVXSUP}vxorpd xmm3, xmm3, xmm7; {$ELSE}db $C5,$E1,$57,$DF;{$ENDIF} // -s, c
{$IFDEF AVXSUP}vmulpd xmm3, xmm3, xmm2; {$ELSE}db $C5,$E1,$59,$DA;{$ENDIF} // a[x+1)*c[x] - s[x]*a[x]
{$IFDEF AVXSUP}vhaddpd xmm3, xmm3, xmm3; {$ELSE}db $C5,$E1,$7C,$DB;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm4, xmm4, xmm2; {$ELSE}db $C5,$D9,$59,$E2;{$ENDIF} // a[x+1]*s[x] + a[x]*c[x]
{$IFDEF AVXSUP}vhaddpd xmm4, xmm4, xmm4; {$ELSE}db $C5,$D9,$7C,$E4;{$ENDIF}
// write back first two values
{$IFDEF AVXSUP}vmovsd xmm2, xmm2, xmm3; {$ELSE}db $C5,$EB,$11,$DA;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [ecx + edi], xmm4; {$ELSE}db $C5,$FB,$11,$24,$39;{$ENDIF}
// next one
add edi, 8;
jnz @@forxloop;
{$IFDEF AVXSUP}vmovsd [ecx + edi], xmm2; {$ELSE}db $C5,$FB,$11,$14,$39;{$ENDIF}
add ecx, LineWidthA;
dec edx;
jnz @@foryloop;
// epilog
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop esi;
pop edi;
pop ebx;
@@endProc:
end;
// its assumed that Linewidthdx and linewidthdy = sizeof(double)
procedure AVXMatrixRotateAligned(N : NativeInt; X : PDouble;
Y : PDouble; c, s : double); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// eax = N; edx = X; ecx = Y
asm
push ebx;
push esi;
push edi;
lea esi, s;
{$IFDEF AVXSUP}vmovsd xmm2, [esi]; {$ELSE}db $C5,$FB,$10,$16;{$ENDIF}
lea edi, cLocMinusOne;
{$IFDEF AVXSUP}vmulsd xmm2, xmm2, [edi]; {$ELSE}db $C5,$EB,$59,$17;{$ENDIF}
{$IFDEF AVXSUP}vmovddup xmm0, xmm2; {$ELSE}db $C5,$FB,$12,$C2;{$ENDIF}
lea edi, c;
{$IFDEF AVXSUP}vmovddup xmm1, [edi]; {$ELSE}db $C5,$FB,$12,$0F;{$ENDIF}
{$IFDEF AVXSUP}vmovddup xmm2, [esi]; {$ELSE}db $C5,$FB,$12,$16;{$ENDIF}
mov edi, eax;
//mov edx, X;
//mov ecx, Y;
xor esi, esi;
shr eax, 1;
test eax, eax;
jz @@exitLoop;
@@forNloop:
// do a full load -> intermediate store in xmm5, and xmm6
{$IFDEF AVXSUP}vmovupd xmm5, [edx + esi]; {$ELSE}db $C5,$F9,$10,$2C,$32;{$ENDIF} // x, x+1
{$IFDEF AVXSUP}vmovupd xmm6, [ecx + esi]; {$ELSE}db $C5,$F9,$10,$34,$31;{$ENDIF} // y, y+1
{$IFDEF AVXSUP}vmulpd xmm3, xmm5, xmm0; {$ELSE}db $C5,$D1,$59,$D8;{$ENDIF} // x, x+1 * -s
{$IFDEF AVXSUP}vmulpd xmm5, xmm5, xmm1; {$ELSE}db $C5,$D1,$59,$E9;{$ENDIF} // x, x+1 * c
{$IFDEF AVXSUP}vmulpd xmm4, xmm6, xmm1; {$ELSE}db $C5,$C9,$59,$E1;{$ENDIF} // y, y+1 * c
{$IFDEF AVXSUP}vmulpd xmm6, xmm6, xmm2; {$ELSE}db $C5,$C9,$59,$F2;{$ENDIF} // y, y+1 * s
{$IFDEF AVXSUP}vaddpd xmm5, xmm5, xmm6; {$ELSE}db $C5,$D1,$58,$EE;{$ENDIF} // c*x + s*y , c*(x+1) + s*(y+1)
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm4; {$ELSE}db $C5,$E1,$58,$DC;{$ENDIF} // -s*x + c*y, -s(x+1) + c*(y+1)
// write back
{$IFDEF AVXSUP}vmovupd [edx + esi], xmm5; {$ELSE}db $C5,$F9,$11,$2C,$32;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [ecx + esi], xmm3; {$ELSE}db $C5,$F9,$11,$1C,$31;{$ENDIF}
add esi, 16;
dec eax;
jnz @@forNloop;
@@exitLoop:
// test for an odd N
test edi, 1;
jz @@endProc;
// handle last element
{$IFDEF AVXSUP}vmovsd xmm5, [edx + esi]; {$ELSE}db $C5,$FB,$10,$2C,$32;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm6, [ecx + esi]; {$ELSE}db $C5,$FB,$10,$34,$31;{$ENDIF}
//dtemp := c*pX^[i] + s*pY^[i];
//pY^[i] := - s*pX^[i] + c*pY^[i];
//px^[i] := dtemp;
{$IFDEF AVXSUP}vmulsd xmm3, xmm5, xmm0; {$ELSE}db $C5,$D3,$59,$D8;{$ENDIF} // x * -s
{$IFDEF AVXSUP}vmulsd xmm4, xmm6, xmm1; {$ELSE}db $C5,$CB,$59,$E1;{$ENDIF} // y * c
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm1; {$ELSE}db $C5,$D3,$59,$E9;{$ENDIF} // x * c
{$IFDEF AVXSUP}vmulsd xmm6, xmm6, xmm2; {$ELSE}db $C5,$CB,$59,$F2;{$ENDIF} // y * s
{$IFDEF AVXSUP}vaddsd xmm5, xmm5, xmm6; {$ELSE}db $C5,$D3,$58,$EE;{$ENDIF} // c*x + s*y
{$IFDEF AVXSUP}vaddsd xmm3, xmm3, xmm4; {$ELSE}db $C5,$E3,$58,$DC;{$ENDIF} // -s*x + c*y
// write back
{$IFDEF AVXSUP}vmovsd [edx + esi], xmm5; {$ELSE}db $C5,$FB,$11,$2C,$32;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [ecx + esi], xmm3; {$ELSE}db $C5,$FB,$11,$1C,$31;{$ENDIF}
@@endProc:
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop edi;
pop esi;
pop ebx;
end;
procedure AVXMatrixRotateUnaligned(N : NativeInt; X : PDouble; const LineWidthDX : NativeInt;
Y : PDouble; LineWidthDY : NativeInt; c, s : double); {$IFDEF FPC} assembler; {$ELSE} register; {$ENDIF}
// eax = N, edx = X, ecx = LineWidthDX
asm
push ebx;
push edi;
push esi;
lea esi, s;
{$IFDEF AVXSUP}vmovsd xmm2, [esi]; {$ELSE}db $C5,$FB,$10,$16;{$ENDIF}
lea edi, cLocMinusOne;
{$IFDEF AVXSUP}vmulsd xmm2, xmm2, [edi]; {$ELSE}db $C5,$EB,$59,$17;{$ENDIF}
{$IFDEF AVXSUP}vmovddup xmm0, xmm2; {$ELSE}db $C5,$FB,$12,$C2;{$ENDIF}
lea edi, c;
{$IFDEF AVXSUP}vmovddup xmm1, [edi]; {$ELSE}db $C5,$FB,$12,$0F;{$ENDIF}
{$IFDEF AVXSUP}vmovddup xmm2, [esi]; {$ELSE}db $C5,$FB,$12,$16;{$ENDIF}
mov edx, X;
mov ebx, Y;
mov edi, LineWidthDY;
sub eax, 2;
jl @@exitLoop;
@@forNloop:
// do a full load -> intermediate store in xmm5, and xmm6
{$IFDEF AVXSUP}vmovlpd xmm5, xmm5, [edx]; {$ELSE}db $C5,$D1,$12,$2A;{$ENDIF} // load x, x+1
{$IFDEF AVXSUP}vmovhpd xmm5, xmm5, [edx + ecx]; {$ELSE}db $C5,$D1,$16,$2C,$0A;{$ENDIF}
{$IFDEF AVXSUP}vmovlpd xmm6, xmm6, [ebx]; {$ELSE}db $C5,$C9,$12,$33;{$ENDIF} // load y, y+1
{$IFDEF AVXSUP}vmovhpd xmm6, xmm6, [ebx + edi]; {$ELSE}db $C5,$C9,$16,$34,$3B;{$ENDIF}
{$IFDEF AVXSUP}vmulpd xmm3, xmm5, xmm0; {$ELSE}db $C5,$D1,$59,$D8;{$ENDIF} // x, x+1 * -s
{$IFDEF AVXSUP}vmulpd xmm5, xmm5, xmm1; {$ELSE}db $C5,$D1,$59,$E9;{$ENDIF} // x, x+1 * c
{$IFDEF AVXSUP}vmulpd xmm4, xmm6, xmm1; {$ELSE}db $C5,$C9,$59,$E1;{$ENDIF} // y, y+1 * c
{$IFDEF AVXSUP}vmulpd xmm6, xmm6, xmm2; {$ELSE}db $C5,$C9,$59,$F2;{$ENDIF} // y, y+1 * s
{$IFDEF AVXSUP}vaddpd xmm5, xmm5, xmm6; {$ELSE}db $C5,$D1,$58,$EE;{$ENDIF} // c*x + s*y , c*(x+1) + s*(y+1)
{$IFDEF AVXSUP}vaddpd xmm3, xmm3, xmm4; {$ELSE}db $C5,$E1,$58,$DC;{$ENDIF} // -s*x + c*y, -s(x+1) + c*(y+1)
// write back
{$IFDEF AVXSUP}vmovlpd [edx], xmm5; {$ELSE}db $C5,$F9,$13,$2A;{$ENDIF}
{$IFDEF AVXSUP}vmovhpd [edx + ecx], xmm5; {$ELSE}db $C5,$F9,$17,$2C,$0A;{$ENDIF}
{$IFDEF AVXSUP}vmovlpd [ebx], xmm3; {$ELSE}db $C5,$F9,$13,$1B;{$ENDIF}
{$IFDEF AVXSUP}vmovhpd [ebx + edi], xmm3; {$ELSE}db $C5,$F9,$17,$1C,$3B;{$ENDIF}
add edx, ecx;
add edx, ecx;
add ebx, edi;
add ebx, edi;
sub eax, 2;
jge @@forNloop;
@@exitLoop:
// test for an odd N
add eax, 2;
jz @@endProc;
// handle last element
{$IFDEF AVXSUP}vmovsd xmm5, [edx]; {$ELSE}db $C5,$FB,$10,$2A;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm6, [ebx]; {$ELSE}db $C5,$FB,$10,$33;{$ENDIF}
//dtemp := c*pX^[i] + s*pY^[i];
//pY^[i] := - s*pX^[i] + c*pY^[i];
//px^[i] := dtemp;
{$IFDEF AVXSUP}vmulsd xmm3, xmm5, xmm0; {$ELSE}db $C5,$D3,$59,$D8;{$ENDIF} // x * -s
{$IFDEF AVXSUP}vmulsd xmm5, xmm5, xmm1; {$ELSE}db $C5,$D3,$59,$E9;{$ENDIF} // x * c
{$IFDEF AVXSUP}vmulsd xmm4, xmm6, xmm1; {$ELSE}db $C5,$CB,$59,$E1;{$ENDIF} // y * c
{$IFDEF AVXSUP}vmulsd xmm6, xmm6, xmm2; {$ELSE}db $C5,$CB,$59,$F2;{$ENDIF} // y * s
{$IFDEF AVXSUP}vaddsd xmm5, xmm5, xmm6; {$ELSE}db $C5,$D3,$58,$EE;{$ENDIF} // c*x + s*y
{$IFDEF AVXSUP}vaddsd xmm3, xmm3, xmm4; {$ELSE}db $C5,$E3,$58,$DC;{$ENDIF} // -s*x + c*y
// write back
{$IFDEF AVXSUP}vmovsd [edx], xmm5; {$ELSE}db $C5,$FB,$11,$2A;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [ebx], xmm3; {$ELSE}db $C5,$FB,$11,$1B;{$ENDIF}
@@endProc:
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
pop esi;
pop edi;
pop ebx;
end;
procedure AVXMatrixRotate(N : NativeInt; X : PDouble; const LineWidthDX : NativeInt; Y : PDouble; LineWidthDY : NativeInt; const c, s : double);
begin
if N <= 0 then
exit;
if (LineWidthDX = sizeof(double)) and (LineWidthDY = sizeof(double))
then
AVXMatrixRotateAligned(N, X, Y, c, s)
else
AVXMatrixRotateUnAligned(N, X, LineWidthDX, Y, LineWidthDY, c, s)
end;
{$ENDIF}
end.