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|
unit u_testconvunit;
interface
uses Math, Sysutils, u_ap, u_ftbase, u_fft, u_conv;
function TestConv(Silent : Boolean):Boolean;
function testconvunit_test_silent():Boolean;
function testconvunit_test():Boolean;
implementation
procedure RefConvC1D(const A : TComplex1DArray;
M : Integer;
const B : TComplex1DArray;
N : Integer;
var R : TComplex1DArray);forward;
procedure RefConvC1DCircular(const A : TComplex1DArray;
M : Integer;
const B : TComplex1DArray;
N : Integer;
var R : TComplex1DArray);forward;
procedure RefConvR1D(const A : TReal1DArray;
M : Integer;
const B : TReal1DArray;
N : Integer;
var R : TReal1DArray);forward;
procedure RefConvR1DCircular(const A : TReal1DArray;
M : Integer;
const B : TReal1DArray;
N : Integer;
var R : TReal1DArray);forward;
(*************************************************************************
Test
*************************************************************************)
function TestConv(Silent : Boolean):Boolean;
var
M : Integer;
N : Integer;
I : Integer;
RKind : Integer;
CircKind : Integer;
RA : TReal1DArray;
RB : TReal1DArray;
RR1 : TReal1DArray;
RR2 : TReal1DArray;
CA : TComplex1DArray;
CB : TComplex1DArray;
CR1 : TComplex1DArray;
CR2 : TComplex1DArray;
MaxN : Integer;
RefErr : Double;
RefRErr : Double;
InvErr : Double;
InvRErr : Double;
ErrTol : Double;
RefErrors : Boolean;
RefRErrors : Boolean;
InvErrors : Boolean;
InvRErrors : Boolean;
WasErrors : Boolean;
begin
MaxN := 32;
ErrTol := 100000*Power(MaxN, AP_Double(3)/2)*MachineEpsilon;
RefErrors := False;
RefRErrors := False;
InvErrors := False;
InvRErrors := False;
WasErrors := False;
//
// Test against reference O(N^2) implementation.
//
// Automatic ConvC1D() and different algorithms of ConvC1DX() are tested.
//
RefErr := 0;
RefRErr := 0;
M:=1;
while M<=MaxN do
begin
N:=1;
while N<=MaxN do
begin
CircKind:=0;
while CircKind<=1 do
begin
RKind:=-3;
while RKind<=1 do
begin
//
// skip impossible combinations of parameters:
// * circular convolution, M<N, RKind<>-3 - internal subroutine does not support M<N.
//
if (CircKind<>0) and (M<N) and (RKind<>-3) then
begin
Inc(RKind);
Continue;
end;
//
// Complex convolution
//
SetLength(CA, M);
I:=0;
while I<=M-1 do
begin
CA[I].X := 2*RandomReal-1;
CA[I].Y := 2*RandomReal-1;
Inc(I);
end;
SetLength(CB, N);
I:=0;
while I<=N-1 do
begin
CB[I].X := 2*RandomReal-1;
CB[I].Y := 2*RandomReal-1;
Inc(I);
end;
SetLength(CR1, 1);
if RKind=-3 then
begin
//
// test wrapper subroutine:
// * circular/non-circular
//
if CircKind=0 then
begin
ConvC1D(CA, M, CB, N, CR1);
end
else
begin
ConvC1DCircular(CA, M, CB, N, CR1);
end;
end
else
begin
//
// test internal subroutine
//
if M>=N then
begin
//
// test internal subroutine:
// * circular/non-circular mode
//
ConvC1DX(CA, M, CB, N, CircKind<>0, RKind, 0, CR1);
end
else
begin
//
// test internal subroutine - circular mode only
//
Assert(CircKind=0, 'Convolution test: internal error!');
ConvC1DX(CB, N, CA, M, False, RKind, 0, CR1);
end;
end;
if CircKind=0 then
begin
RefConvC1D(CA, M, CB, N, CR2);
end
else
begin
RefConvC1DCircular(CA, M, CB, N, CR2);
end;
if CircKind=0 then
begin
I:=0;
while I<=M+N-2 do
begin
RefErr := Max(RefErr, AbsComplex(C_Sub(CR1[I],CR2[I])));
Inc(I);
end;
end
else
begin
I:=0;
while I<=M-1 do
begin
RefErr := Max(RefErr, AbsComplex(C_Sub(CR1[I],CR2[I])));
Inc(I);
end;
end;
//
// Real convolution
//
SetLength(RA, M);
I:=0;
while I<=M-1 do
begin
RA[I] := 2*RandomReal-1;
Inc(I);
end;
SetLength(RB, N);
I:=0;
while I<=N-1 do
begin
RB[I] := 2*RandomReal-1;
Inc(I);
end;
SetLength(RR1, 1);
if RKind=-3 then
begin
//
// test wrapper subroutine:
// * circular/non-circular
//
if CircKind=0 then
begin
ConvR1D(RA, M, RB, N, RR1);
end
else
begin
ConvR1DCircular(RA, M, RB, N, RR1);
end;
end
else
begin
if M>=N then
begin
//
// test internal subroutine:
// * circular/non-circular mode
//
ConvR1DX(RA, M, RB, N, CircKind<>0, RKind, 0, RR1);
end
else
begin
//
// test internal subroutine - non-circular mode only
//
ConvR1DX(RB, N, RA, M, CircKind<>0, RKind, 0, RR1);
end;
end;
if CircKind=0 then
begin
RefConvR1D(RA, M, RB, N, RR2);
end
else
begin
RefConvR1DCircular(RA, M, RB, N, RR2);
end;
if CircKind=0 then
begin
I:=0;
while I<=M+N-2 do
begin
RefRErr := Max(RefRErr, AbsReal(RR1[I]-RR2[I]));
Inc(I);
end;
end
else
begin
I:=0;
while I<=M-1 do
begin
RefRErr := Max(RefRErr, AbsReal(RR1[I]-RR2[I]));
Inc(I);
end;
end;
Inc(RKind);
end;
Inc(CircKind);
end;
Inc(N);
end;
Inc(M);
end;
RefErrors := RefErrors or AP_FP_Greater(RefErr,ErrTol);
RefRErrors := RefRErrors or AP_FP_Greater(RefRErr,ErrTol);
//
// Test inverse convolution
//
InvErr := 0;
InvRErr := 0;
M:=1;
while M<=MaxN do
begin
N:=1;
while N<=MaxN do
begin
//
// Complex circilar and non-circular
//
SetLength(CA, M);
I:=0;
while I<=M-1 do
begin
CA[I].X := 2*RandomReal-1;
CA[I].Y := 2*RandomReal-1;
Inc(I);
end;
SetLength(CB, N);
I:=0;
while I<=N-1 do
begin
CB[I].X := 2*RandomReal-1;
CB[I].Y := 2*RandomReal-1;
Inc(I);
end;
SetLength(CR1, 1);
SetLength(CR2, 1);
ConvC1D(CA, M, CB, N, CR2);
ConvC1DInv(CR2, M+N-1, CB, N, CR1);
I:=0;
while I<=M-1 do
begin
InvErr := Max(InvErr, AbsComplex(C_Sub(CR1[I],CA[I])));
Inc(I);
end;
SetLength(CR1, 1);
SetLength(CR2, 1);
ConvC1DCircular(CA, M, CB, N, CR2);
ConvC1DCircularInv(CR2, M, CB, N, CR1);
I:=0;
while I<=M-1 do
begin
InvErr := Max(InvErr, AbsComplex(C_Sub(CR1[I],CA[I])));
Inc(I);
end;
//
// Real circilar and non-circular
//
SetLength(RA, M);
I:=0;
while I<=M-1 do
begin
RA[I] := 2*RandomReal-1;
Inc(I);
end;
SetLength(RB, N);
I:=0;
while I<=N-1 do
begin
RB[I] := 2*RandomReal-1;
Inc(I);
end;
SetLength(RR1, 1);
SetLength(RR2, 1);
ConvR1D(RA, M, RB, N, RR2);
ConvR1DInv(RR2, M+N-1, RB, N, RR1);
I:=0;
while I<=M-1 do
begin
InvRErr := Max(InvRErr, AbsReal(RR1[I]-RA[I]));
Inc(I);
end;
SetLength(RR1, 1);
SetLength(RR2, 1);
ConvR1DCircular(RA, M, RB, N, RR2);
ConvR1DCircularInv(RR2, M, RB, N, RR1);
I:=0;
while I<=M-1 do
begin
InvRErr := Max(InvRErr, AbsReal(RR1[I]-RA[I]));
Inc(I);
end;
Inc(N);
end;
Inc(M);
end;
InvErrors := InvErrors or AP_FP_Greater(InvErr,ErrTol);
InvRErrors := InvRErrors or AP_FP_Greater(InvRErr,ErrTol);
//
// end
//
WasErrors := RefErrors or RefRErrors or InvErrors or InvRErrors;
if not Silent then
begin
Write(Format('TESTING CONVOLUTION'#13#10'',[]));
Write(Format('FINAL RESULT: ',[]));
if WasErrors then
begin
Write(Format('FAILED'#13#10'',[]));
end
else
begin
Write(Format('OK'#13#10'',[]));
end;
Write(Format('* AGAINST REFERENCE COMPLEX CONV: ',[]));
if RefErrors then
begin
Write(Format('FAILED'#13#10'',[]));
end
else
begin
Write(Format('OK'#13#10'',[]));
end;
Write(Format('* AGAINST REFERENCE REAL CONV: ',[]));
if RefRErrors then
begin
Write(Format('FAILED'#13#10'',[]));
end
else
begin
Write(Format('OK'#13#10'',[]));
end;
Write(Format('* COMPLEX INVERSE: ',[]));
if InvErrors then
begin
Write(Format('FAILED'#13#10'',[]));
end
else
begin
Write(Format('OK'#13#10'',[]));
end;
Write(Format('* REAL INVERSE: ',[]));
if InvRErrors then
begin
Write(Format('FAILED'#13#10'',[]));
end
else
begin
Write(Format('OK'#13#10'',[]));
end;
if WasErrors then
begin
Write(Format('TEST FAILED'#13#10'',[]));
end
else
begin
Write(Format('TEST PASSED'#13#10'',[]));
end;
end;
Result := not WasErrors;
end;
(*************************************************************************
Reference implementation
*************************************************************************)
procedure RefConvC1D(const A : TComplex1DArray;
M : Integer;
const B : TComplex1DArray;
N : Integer;
var R : TComplex1DArray);
var
I : Integer;
V : Complex;
i_ : Integer;
i1_ : Integer;
begin
SetLength(R, M+N-1);
I:=0;
while I<=M+N-2 do
begin
R[I] := C_Complex(0);
Inc(I);
end;
I:=0;
while I<=M-1 do
begin
V := A[I];
i1_ := (0) - (I);
for i_ := I to I+N-1 do
begin
R[i_] := C_Add(R[i_], C_Mul(V, B[i_+i1_]));
end;
Inc(I);
end;
end;
(*************************************************************************
Reference implementation
*************************************************************************)
procedure RefConvC1DCircular(const A : TComplex1DArray;
M : Integer;
const B : TComplex1DArray;
N : Integer;
var R : TComplex1DArray);
var
I1 : Integer;
I2 : Integer;
J2 : Integer;
Buf : TComplex1DArray;
i_ : Integer;
i1_ : Integer;
begin
RefConvC1D(A, M, B, N, Buf);
SetLength(R, M);
for i_ := 0 to M-1 do
begin
R[i_] := Buf[i_];
end;
I1 := M;
while I1<=M+N-2 do
begin
I2 := Min(I1+M-1, M+N-2);
J2 := I2-I1;
i1_ := (I1) - (0);
for i_ := 0 to J2 do
begin
R[i_] := C_Add(R[i_], Buf[i_+i1_]);
end;
I1 := I1+M;
end;
end;
(*************************************************************************
Reference FFT
*************************************************************************)
procedure RefConvR1D(const A : TReal1DArray;
M : Integer;
const B : TReal1DArray;
N : Integer;
var R : TReal1DArray);
var
I : Integer;
V : Double;
begin
SetLength(R, M+N-1);
I:=0;
while I<=M+N-2 do
begin
R[I] := 0;
Inc(I);
end;
I:=0;
while I<=M-1 do
begin
V := A[I];
APVAdd(@R[0], I, I+N-1, @B[0], 0, N-1, V);
Inc(I);
end;
end;
(*************************************************************************
Reference implementation
*************************************************************************)
procedure RefConvR1DCircular(const A : TReal1DArray;
M : Integer;
const B : TReal1DArray;
N : Integer;
var R : TReal1DArray);
var
I1 : Integer;
I2 : Integer;
J2 : Integer;
Buf : TReal1DArray;
begin
RefConvR1D(A, M, B, N, Buf);
SetLength(R, M);
APVMove(@R[0], 0, M-1, @Buf[0], 0, M-1);
I1 := M;
while I1<=M+N-2 do
begin
I2 := Min(I1+M-1, M+N-2);
J2 := I2-I1;
APVAdd(@R[0], 0, J2, @Buf[0], I1, I2);
I1 := I1+M;
end;
end;
(*************************************************************************
Silent unit test
*************************************************************************)
function testconvunit_test_silent():Boolean;
begin
Result := TestConv(True);
end;
(*************************************************************************
Unit test
*************************************************************************)
function testconvunit_test():Boolean;
begin
Result := TestConv(False);
end;
end.
|
