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AVXMatrixRotationsx64.pas
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AVXMatrixRotationsx64.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.
// ###################################################################
// Vector/Matrix rotation routines mainly used for the SVD
unit AVXMatrixRotationsx64;
interface
{$I 'mrMath_CPU.inc'}
{$IFDEF x64}
uses MatrixConst;
procedure AVXApplyPlaneRotSeqRVB(width, height : NativeInt; A : PDouble; const LineWidthA : NativeInt; {$ifdef UNIX}unixC{$ELSE}C{$endif}, {$ifdef UNIX}unixS{$ELSE}S{$endif} : PConstDoubleArr); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXApplyPlaneRotSeqRVF(width, height : NativeInt; A : PDouble; const LineWidthA : NativeInt; {$ifdef UNIX}unixC{$ELSE}C{$endif}, {$ifdef UNIX}unixS{$ELSE}S{$endif} : PConstDoubleArr); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXApplyPlaneRotSeqLVF(width, height : NativeInt; A : PDouble; const LineWidthA : NativeInt; {$ifdef UNIX}unixC{$ELSE}C{$endif}, {$ifdef UNIX}unixS{$ELSE}S{$endif} : PConstDoubleArr); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXApplyPlaneRotSeqLVB(width, height : NativeInt; A : PDouble; const LineWidthA : NativeInt; {$ifdef UNIX}unixC{$ELSE}C{$endif}, {$ifdef UNIX}unixS{$ELSE}S{$endif} : PConstDoubleArr); {$IFDEF FPC}assembler;{$ENDIF}
procedure AVXMatrixRotate(N : NativeInt; X : PDouble; const LineWidthDX : NativeInt; Y : PDouble; LineWidthDY : NativeInt; const c, s : double);
{$ENDIF}
implementation
{$IFDEF x64}
// rcx = width, rdx = height, r8 : A, r9 = LineWidthA
procedure AVXApplyPlaneRotSeqLVB(width, height : NativeInt; A : PDouble; const LineWidthA : NativeInt; {$ifdef UNIX}unixC{$ELSE}C{$endif}, {$ifdef UNIX}unixS{$ELSE}S{$endif} : PConstDoubleArr); {$IFDEF FPC}assembler;{$ENDIF}
var iRBX, iRDI : NativeInt;
{$IFDEF UNIX}
C, S : PConstDoubleArr;
{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov C, r8;
mov S, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// ##########################################
// #### Prolog - stack and base variable init
//if (height < 2) or (width < 1) then
//exit;
cmp rdx, 2;
jl @@endproc;
cmp rcx, 1;
jl @@endproc;
mov iRBX, rbx;
mov iRDI, rdi;
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}
// iter := -(width and $FFFFFFFE)*sizeof(double);
mov r10, rcx;
and r10, $FFFFFFFFFFFFFFFE;
imul r10, -8;
//y2 := height - 1;
dec rdx;
// rcx = width, rdx = height, r8 : A, r9 = LineWidthA
mov rax, c; // point to y (aka the end)
mov rbx, s;
mov rdi, rdx;
dec rdi;
shl rdi, 3; // y2*sizeof(double)
add rax, rdi;
add rbx, rdi;
mov rdi, r9; // A[y + 1][x]
imul rdi, rdx;
add r8, rdi;
sub r8, r10;
mov r11, r8; // A[y][x]
sub r11, r9;
lea rdi, [rip + cOne];
{$IFDEF AVXSUP}vmovsd xmm7, [rdi]; {$ELSE}db $C5,$FB,$10,$3F;{$ENDIF}
{$IFDEF AVXSUP}vxorpd xmm6, xmm6, xmm6; {$ELSE}db $C5,$C9,$57,$F6;{$ENDIF} // reference
@@foryloop:
{$IFDEF AVXSUP}vmovddup xmm0, [rax]; {$ELSE}db $C5,$FB,$12,$00;{$ENDIF} // c[y]
{$IFDEF AVXSUP}vmovddup xmm1, [rbx]; {$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;{$ENDIF} // = 0
jne @@beginXLoop;
jmp @@nextLine; // c=1 and stemp=0 next line -> the statement
// ###########################################
// #### for x := 0 to width - 1 do
@@beginXLoop:
// init
mov rdi, r10;
test rdi, rdi;
jz @@LastElem;
@@forxloop:
//temp := pcAy1^[x];
// pcAy1^[x] := cTemp*temp - stemp*pcAy^[x];
// pcAy1^[x + 1] := cTemp*temp1 - stemp*pcAy1[x + 1];
// evaluate 2 values
{$IFDEF AVXSUP}vmovupd xmm2, [r11 + rdi]; {$ELSE}db $C4,$C1,$79,$10,$14,$3B;{$ENDIF}
{$IFDEF AVXSUP}vmovupd xmm3, [r8 + rdi]; {$ELSE}db $C4,$C1,$79,$10,$1C,$38;{$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 [r11 + rdi], xmm5; {$ELSE}db $C4,$C1,$79,$11,$2C,$3B;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [r8 + rdi], xmm3; {$ELSE}db $C4,$C1,$79,$11,$1C,$38;{$ENDIF}
add rdi, 16;
jnz @@forxloop;
@@LastElem:
// ###########################################
// #### Last element handling
mov rdi, rcx; // width
and rdi, 1;
jz @@nextLine;
// same as above but with single elements
{$IFDEF AVXSUP}vmovsd xmm2, [r11]; {$ELSE}db $C4,$C1,$7B,$10,$13;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm3, [r8]; {$ELSE}db $C4,$C1,$7B,$10,$18;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm4, xmm4, xmm2; {$ELSE}db $C5,$DB,$11,$D4;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, xmm5, xmm3; {$ELSE}db $C5,$D3,$11,$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 [r11], xmm5; {$ELSE}db $C4,$C1,$7B,$11,$2B;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [r8], xmm3; {$ELSE}db $C4,$C1,$7B,$11,$18;{$ENDIF}
// ###########################################
// #### next y
@@nextLine:
sub rbx, 8; // sizeof(double)
sub rax, 8;
sub r11, r9; // LineWidthA
sub r8, r9;
dec rdx;
jnz @@foryloop;
// ###############################################
// #### epilog - restore stack
mov rbx, iRBX;
mov rdi, iRDI;
{$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, $40;
@@endproc:
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
end;
procedure AVXApplyPlaneRotSeqLVF(width, height : NativeInt; A : PDouble; const LineWidthA : NativeInt; {$ifdef UNIX}unixC{$ELSE}C{$endif}, {$ifdef UNIX}unixS{$ELSE}S{$endif} : PConstDoubleArr); {$IFDEF FPC}assembler;{$ENDIF}
var iRBX, iRDI : NativeInt;
{$IFDEF UNIX}
C, S : PConstDoubleArr;
{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov C, r8;
mov S, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// ##########################################
// #### Prolog - stack and base variable init
//if (height < 2) or (width < 1) then
//exit;
cmp rdx, 2;
jl @@endproc;
cmp rcx, 1;
jl @@endproc;
mov iRBX, rbx;
mov iRDI, rdi;
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}
// iter := -(width and $FFFFFFFE)*sizeof(double);
mov r10, rcx;
and r10, $FFFFFFFFFFFFFFFE;
imul r10, -8;
//y2 := height - 1;
dec rdx;
mov rax, c; // point to y (aka the end)
mov rbx, s;
sub r8, r10;
mov r11, r8; // A[y][x]
add r11, r9;
lea rdi, [rip + cOne];
{$IFDEF AVXSUP}vmovsd xmm7, [rdi]; {$ELSE}db $C5,$FB,$10,$3F;{$ENDIF}
{$IFDEF AVXSUP}vxorpd xmm6, xmm6, xmm6; {$ELSE}db $C5,$C9,$57,$F6;{$ENDIF} // compare against 0
@@foryloop:
{$IFDEF AVXSUP}vmovddup xmm0, [rax]; {$ELSE}db $C5,$FB,$12,$00;{$ENDIF} // c[y]
{$IFDEF AVXSUP}vmovddup xmm1, [rbx]; {$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;{$ENDIF} // = 0
jne @@beginXLoop;
jmp @@nextLine; // c=1 and stemp=0 next line -> the statement
// ###########################################
// #### for x := 0 to width - 1 do
@@beginXLoop:
// init
mov rdi, r10;
test rdi, rdi;
jz @@LastElem;
@@forxloop:
//temp := pcAy1^[x];
// pcAy1^[x] := cTemp*temp - stemp*pcAy^[x];
// pcAy1^[x + 1] := cTemp*temp1 - stemp*pcAy1[x + 1];
// evaluate 2 values
{$IFDEF AVXSUP}vmovupd xmm2, [r8 + rdi]; {$ELSE}db $C4,$C1,$79,$10,$14,$38;{$ENDIF}
{$IFDEF AVXSUP}vmovupd xmm3, [r11 + rdi]; {$ELSE}db $C4,$C1,$79,$10,$1C,$3B;{$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 [r8 + rdi], xmm3; {$ELSE}db $C4,$C1,$79,$11,$1C,$38;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [r11 + rdi], xmm5; {$ELSE}db $C4,$C1,$79,$11,$2C,$3B;{$ENDIF}
add rdi, 16;
jnz @@forxloop;
@@LastElem:
// ###########################################
// #### Last element handling
mov rdi, rcx; // width
and rdi, 1;
jz @@nextLine;
// same as above but with single elements
{$IFDEF AVXSUP}vmovsd xmm4, [r8]; {$ELSE}db $C4,$C1,$7B,$10,$20;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm5, [r11]; {$ELSE}db $C4,$C1,$7B,$10,$2B;{$ENDIF}
//vmovsd xmm4, xmm2;
//vmovsd xmm5, xmm3;
{$IFDEF AVXSUP}vmulsd xmm3, xmm5, xmm0; {$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 [r8], xmm5; {$ELSE}db $C4,$C1,$7B,$11,$28;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [r11], xmm3; {$ELSE}db $C4,$C1,$7B,$11,$1B;{$ENDIF}
// ###########################################
// #### next y
@@nextLine:
add rbx, 8; // sizeof(double)
add rax, 8;
add r11, r9; // LineWidthA
add r8, r9;
dec rdx;
jnz @@foryloop;
// ###############################################
// #### epilog - restore stack
mov rbx, iRBX;
mov rdi, iRDI;
{$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}
@@endproc:
end;
// rcx = width, rdx = height, r8 : A, r9 = LineWidthA
procedure AVXApplyPlaneRotSeqRVB(width, height : NativeInt; A : PDouble; const LineWidthA : NativeInt; {$ifdef UNIX}unixC{$ELSE}C{$endif}, {$ifdef UNIX}unixS{$ELSE}S{$endif} : PConstDoubleArr); {$IFDEF FPC}assembler;{$ENDIF}
var iRBX, iRDI : NativeInt;
{$IFDEF UNIX}
C, S : PConstDoubleArr;
{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov C, r8;
mov S, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// ##########################################
// #### Prolog - stack and base variable init
//if (height < 2) or (width < 1) then
// exit;
cmp rcx, 2;
jl @@endproc;
cmp rdx, 1;
jl @@endproc;
mov iRBX, rbx;
mov iRDI, rdi;
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 + $20], xmm7; {$ELSE}db $C5,$F9,$11,$7C,$24,$20;{$ENDIF}
dec rcx;
shl rcx, 3; //iter := (width - 1)*sizeof(double)
mov rax, c;
mov rbx, s;
lea rdi, [rip + cMulM1Bits];
{$IFDEF AVXSUP}vmovupd xmm7, [rdi]; {$ELSE}db $C5,$F9,$10,$3F;{$ENDIF}
@@foryloop:
mov rdi, rcx;
{$IFDEF AVXSUP}vmovhpd xmm2, xmm2, [r8 + rdi]; {$ELSE}db $C4,$C1,$69,$16,$14,$38;{$ENDIF}
// for x := width - 2 downto 0
@@forxloop:
{$IFDEF AVXSUP}vmovsd xmm4, [rax + rdi - 8]; {$ELSE}db $C5,$FB,$10,$64,$38,$F8;{$ENDIF} // store c
{$IFDEF AVXSUP}vmovsd xmm3, [rbx + rdi - 8]; {$ELSE}db $C5,$FB,$10,$5C,$3B,$F8;{$ENDIF} // store s
{$IFDEF AVXSUP}vmovlpd xmm2, xmm2, [r8 + rdi - 8]; {$ELSE}db $C4,$C1,$69,$12,$54,$38,$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 [r8 + rdi], xmm3; {$ELSE}db $C4,$C1,$7B,$11,$1C,$38;{$ENDIF}
// next one
sub rdi, 8;
jnz @@forxloop;
{$IFDEF AVXSUP}vmovsd [r8 + rdi], xmm4; {$ELSE}db $C4,$C1,$7B,$11,$24,$38;{$ENDIF}
add r8, r9;
dec rdx;
jnz @@foryloop;
// epilog
mov rbx, iRBX;
mov rdi, iRDI;
{$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 xmm7, [rsp + $20]; {$ELSE}db $C5,$F9,$10,$7C,$24,$20;{$ENDIF}
add rsp, $30;
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
@@endproc:
end;
procedure AVXApplyPlaneRotSeqRVF(width, height : NativeInt; A : PDouble; const LineWidthA : NativeInt; {$ifdef UNIX}unixC{$ELSE}C{$endif}, {$ifdef UNIX}unixS{$ELSE}S{$endif} : PConstDoubleArr); {$IFDEF FPC}assembler;{$ENDIF}
var iRBX, iRDI : NativeInt;
{$IFDEF UNIX}
C, S : PConstDoubleArr;
{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov C, r8;
mov S, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// ##########################################
// #### Prolog - stack and base variable init
//if (height < 2) or (width < 1) then
//exit;
cmp rcx, 2;
jl @@endproc;
cmp rdx, 1;
jl @@endproc;
mov iRBX, rbx;
mov iRDI, rdi;
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 + $20], xmm7; {$ELSE}db $C5,$F9,$11,$7C,$24,$20;{$ENDIF}
dec rcx;
imul rcx, -8; //iter := (width - 1)*sizeof(double)
mov rax, c;
mov rbx, s;
sub rax, rcx; // iter
sub rbx, rcx;
sub r8, rcx;
lea rdi, [rip + cMulM1Bits];
{$IFDEF AVXSUP}vmovupd xmm7, [rdi]; {$ELSE}db $C5,$F9,$10,$3F;{$ENDIF}
@@foryloop:
mov rdi, rcx;
{$IFDEF AVXSUP}vmovsd xmm2, [r8 + rdi]; {$ELSE}db $C4,$C1,$7B,$10,$14,$38;{$ENDIF}
@@forxloop:
{$IFDEF AVXSUP}vmovsd xmm4, [rax + rdi]; {$ELSE}db $C5,$FB,$10,$24,$38;{$ENDIF} // store c
{$IFDEF AVXSUP}vmovhpd xmm4, xmm4, [rbx + rdi]; {$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}
{$IFDEF AVXSUP}vmovhpd xmm2, xmm2, [r8 + rdi + 8]; {$ELSE}db $C4,$C1,$69,$16,$54,$38,$08;{$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 [r8 + rdi], xmm4; {$ELSE}db $C4,$C1,$7B,$11,$24,$38;{$ENDIF}
// next one
add rdi, 8;
jnz @@forxloop;
{$IFDEF AVXSUP}vmovsd [r8 + rdi], xmm2; {$ELSE}db $C4,$C1,$7B,$11,$14,$38;{$ENDIF}
add r8, r9;
dec rdx;
jnz @@foryloop;
// epilog
mov rbx, iRBX;
mov rdi, iRDI;
{$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 xmm7, [rsp + $20]; {$ELSE}db $C5,$F9,$10,$7C,$24,$20;{$ENDIF}
add rsp, $30;
{$IFDEF AVXSUP}vzeroupper; {$ELSE}db $C5,$F8,$77;{$ENDIF}
@@endproc:
end;
// its assumed that Linewidthdx and linewidthdy = sizeof(double)
// rcx = N, RDX = X, R8 = Y,
procedure AVXMatrixRotateAligned(N : NativeInt; X : PDouble;
Y : PDouble; LineWidthDY : NativeInt; {$ifdef UNIX}unixC{$ELSE}c{$endif}, {$ifdef UNIX}unixS{$ELSE}s{$endif} : PDouble); {$IFDEF FPC}assembler;{$ENDIF}
{$IFDEF UNIX}
var c : PDouble;
s : PDouble;
{$ENDIF}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov c, r8;
mov s, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// note c: xmm0
// ###########################################
// #### Stack push
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}
// init
mov rax, c;
{$IFDEF AVXSUP}vmovddup xmm1, [rax]; {$ELSE}db $C5,$FB,$12,$08;{$ENDIF}
mov rax, s;
{$IFDEF AVXSUP}vmovsd xmm2, [rax]; {$ELSE}db $C5,$FB,$10,$10;{$ENDIF}
lea rax, [rip + cMinusOne];
{$IFDEF AVXSUP}vmulsd xmm2, xmm2, [rax]; {$ELSE}db $C5,$EB,$59,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovddup xmm0, xmm2; {$ELSE}db $C5,$FB,$12,$C2;{$ENDIF}
mov rax, s;
{$IFDEF AVXSUP}vmovddup xmm2, [rax]; {$ELSE}db $C5,$FB,$12,$10;{$ENDIF}
xor r10, r10;
mov rax, rcx;
shr rax, 1;
test rax, rax;
jz @@exitLoop;
@@forNloop:
// do a full load -> intermediate store in xmm5, and xmm6
{$IFDEF AVXSUP}vmovupd xmm5, [rdx + r10]; {$ELSE}db $C4,$A1,$79,$10,$2C,$12;{$ENDIF} // x, x+1
{$IFDEF AVXSUP}vmovupd xmm6, [r8 + r10]; {$ELSE}db $C4,$81,$79,$10,$34,$10;{$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 [rdx + r10], xmm5; {$ELSE}db $C4,$A1,$79,$11,$2C,$12;{$ENDIF}
{$IFDEF AVXSUP}vmovupd [r8 + r10], xmm3; {$ELSE}db $C4,$81,$79,$11,$1C,$10;{$ENDIF}
add r10, 16;
dec rax;
jnz @@forNloop;
@@exitLoop:
// test for an odd N
mov rax, rcx;
and rax, 1;
jz @@endProc;
// handle last element
{$IFDEF AVXSUP}vmovsd xmm5, [rdx + r10]; {$ELSE}db $C4,$A1,$7B,$10,$2C,$12;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm6, [r8 + r10]; {$ELSE}db $C4,$81,$7B,$10,$34,$10;{$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 [rdx + r10], xmm5; {$ELSE}db $C4,$A1,$7B,$11,$2C,$12;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [r8 + r10], xmm3; {$ELSE}db $C4,$81,$7B,$11,$1C,$10;{$ENDIF}
@@endProc:
// ###########################################
// #### epilog
{$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;
// rcx = N, RDX = X, R8 = LineWidthDX, R9 = Y;
procedure AVXMatrixRotateUnaligned(N : NativeInt; X : PDouble; const LineWidthDX : NativeInt;
Y : PDouble; {$ifdef UNIX}unixLineWidthDY{$ELSE}LineWidthDY{$endif} : NativeInt; {$ifdef UNIX}unixc{$ELSE}c{$endif}, s : Pdouble); {$IFDEF FPC}assembler;{$ENDIF}
{$ifdef UNIX}
var LineWidthDY : NativeInt;
C : PDouble;
{$endif}
asm
{$IFDEF UNIX}
// Linux uses a diffrent ABI -> copy over the registers so they meet with winABI
// (note that the 5th and 6th parameter are are on the stack)
// The parameters are passed in the following order:
// RDI, RSI, RDX, RCX -> mov to RCX, RDX, R8, R9
mov LineWidthDY, r8;
mov C, r9;
mov r8, rdx;
mov r9, rcx;
mov rcx, rdi;
mov rdx, rsi;
{$ENDIF}
// ###########################################
// #### Stack push
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}
mov rax, c;
{$IFDEF AVXSUP}vmovddup xmm1, [rax]; {$ELSE}db $C5,$FB,$12,$08;{$ENDIF}
mov rax, s;
{$IFDEF AVXSUP}vmovsd xmm2, [rax]; {$ELSE}db $C5,$FB,$10,$10;{$ENDIF}
lea rax, [rip + cMinusOne];
{$IFDEF AVXSUP}vmulsd xmm2, xmm2, [rax]; {$ELSE}db $C5,$EB,$59,$10;{$ENDIF}
{$IFDEF AVXSUP}vmovddup xmm0, xmm2; {$ELSE}db $C5,$FB,$12,$C2;{$ENDIF}
mov rax, s;
{$IFDEF AVXSUP}vmovddup xmm2, [rax]; {$ELSE}db $C5,$FB,$12,$10;{$ENDIF}
mov r10, LineWidthDY;
// ###########################################
// #### loop
mov rax, rcx;
shr rax, 1;
test rax, rax;
jz @@exitLoop;
@@forNloop:
// do a full load -> intermediate store in xmm5, and xmm6
{$IFDEF AVXSUP}vmovlpd xmm5, xmm5, [rdx]; {$ELSE}db $C5,$D1,$12,$2A;{$ENDIF} // load x, x+1
{$IFDEF AVXSUP}vmovhpd xmm5, xmm5, [rdx + r8]; {$ELSE}db $C4,$A1,$51,$16,$2C,$02;{$ENDIF}
{$IFDEF AVXSUP}vmovlpd xmm6, xmm6, [r9]; {$ELSE}db $C4,$C1,$49,$12,$31;{$ENDIF} // load y, y+1
{$IFDEF AVXSUP}vmovhpd xmm6, xmm6, [r9 + r10]; {$ELSE}db $C4,$81,$49,$16,$34,$11;{$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 [rdx], xmm5; {$ELSE}db $C5,$F9,$13,$2A;{$ENDIF}
{$IFDEF AVXSUP}vmovhpd [rdx + r8], xmm5; {$ELSE}db $C4,$A1,$79,$17,$2C,$02;{$ENDIF}
{$IFDEF AVXSUP}vmovlpd [r9], xmm3; {$ELSE}db $C4,$C1,$79,$13,$19;{$ENDIF}
{$IFDEF AVXSUP}vmovhpd [r9 + r10], xmm3; {$ELSE}db $C4,$81,$79,$17,$1C,$11;{$ENDIF}
add rdx, r8;
add rdx, r8;
add r9, r10;
add r9, r10;
dec rax;
jnz @@forNloop;
@@exitLoop:
// test for an odd N
mov rax, rcx;
and rax, 1;
jz @@endProc;
// handle last element
{$IFDEF AVXSUP}vmovsd xmm5, [rdx]; {$ELSE}db $C5,$FB,$10,$2A;{$ENDIF}
{$IFDEF AVXSUP}vmovsd xmm6, [r9]; {$ELSE}db $C4,$C1,$7B,$10,$31;{$ENDIF}
//dtemp := c*pX^[i] + s*pY^[i];
//pY^[i] := - s*pX^[i] + c*pY^[i];
//px^[i] := dtemp;
//vmovsd xmm3, xmm5;
//vmovsd xmm4, xmm6;
{$IFDEF AVXSUP}vmulsd xmm3, xmm5, xmm0; {$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 [rdx], xmm5; {$ELSE}db $C5,$FB,$11,$2A;{$ENDIF}
{$IFDEF AVXSUP}vmovsd [r9], xmm3; {$ELSE}db $C4,$C1,$7B,$11,$19;{$ENDIF}
@@endProc:
// ###########################################
// #### Epilog
{$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 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, LineWidthDY, @c, @s)
else
AVXMatrixRotateUnAligned(N, X, LineWidthDX, Y, LineWidthDY, @c, @s);
end;
{$ENDIF}
end.