public static void forwBackwCheck1DAlongD(ILArray <float> A, ILArray <fcomplex> Result, int p)
{
try {
ILArray <fcomplex> B = fft(A, p);
//double errMult = 1/(A.Dimensions.NumberOfElements * Math.Pow(10,A.Dimensions.NumberOfDimensions));
float errMult = (float)Math.Pow(0.1f, A.Dimensions.NumberOfDimensions) / A.Dimensions.NumberOfElements;
if (!A.IsScalar)
{
errMult /= (float)A.Dimensions[A.Dimensions.FirstNonSingleton()];
}
if (sumall(abs(subtract(Result, B))) * errMult > (double)MachineParameterFloat.eps)
{
throw new Exception("invalid value");
}
ILArray <float> ResultR = ifftsym(B, p);
if (ILMath.sumall(ILMath.abs(ResultR - A)) * errMult > (double)ILMath.MachineParameterFloat.eps)
{
throw new Exception("invalid value");
}
B = ifft(B, p);
if (ILMath.sumall(ILMath.abs(ILMath.tofcomplex(A) - B)) * errMult > (double)ILMath.MachineParameterFloat.eps)
{
throw new Exception("invalid value");
}
} catch (ILNumerics.Exceptions.ILArgumentException) {
throw new Exception("unexpected exception was thrown -> error!");
}
}
public override ILCell GenerateTestArrays()
{
ILCell ret = new ILTestProviderComplex().GenerateTestArrays();
for (int i = 0; i < ret.Dimensions[0]; i++)
{
ret[i] = ILMath.tofcomplex(ret[i]);
}
return(ret);
}
private void Test_conj()
{
// test for common matrix 4x3
ILArray <complex> A = new complex[, ] {
{ new complex(1, 2), new complex(3, 4), new complex(5, 6) },
{ new complex(7, 8), new complex(9, 10), new complex(11, 12) },
{ new complex(13, 14), new complex(15, 16), new complex(17, 18) },
{ new complex(19, 20), new complex(21, 22), new complex(23, 24) }
};
ILArray <fcomplex> Af = ILMath.tofcomplex(A);
Test_isConj(A, ILMath.conj(A));
Test_isfConj(Af, ILMath.conj(Af));
// test on reference matrix
Test_isConj(A, ILMath.conj(A.R));
Test_isfConj(Af, ILMath.conj(Af.R));
// test on 2x2x3 matrix (reference)
A = A.Reshape(new ILDimension(2, 2, 3)).R;
if (!A.IsReference)
{
throw new Exception("Unable to test conj() for reference 2x2x3!");
}
Af = Af.Reshape(new ILDimension(2, 2, 3)).R;
if (!Af.IsReference)
{
throw new Exception("Unable to test conj() for reference 2x2x3!");
}
Test_isConj(A, ILMath.conj(A));
Test_isfConj(Af, ILMath.conj(Af));
// test those on dense array
Test_isConj(A, ILMath.conj(A.C));
Test_isfConj(Af, ILMath.conj(Af.C));
// test for empty
A = ILArray <complex> .empty();
Af = ILArray <fcomplex> .empty();
Test_isConj(A, ILMath.conj(A));
Test_isfConj(Af, ILMath.conj(Af));
// test on vector
A = new complex[] { new complex(1, 2), new complex(3, 4), new complex(5, 6) };
Af = ILMath.tofcomplex(A);
Test_isConj(A, ILMath.conj(A));
Test_isfConj(Af, ILMath.conj(Af));
// transpose
Test_isConj(A.T, ILMath.conj(A.T));
Test_isfConj(Af.T, ILMath.conj(Af.T));
// test on scalar
A = A[2]; Af = Af[2];
Test_isConj(A, ILMath.conj(A));
Test_isfConj(Af, ILMath.conj(Af));
}
public ILArray <fcomplex> FFTForward1D(ILArray <float> A, int dim)
{
if (A == null || dim < 0)
{
throw new ILArgumentException("invalid parameter!");
}
if (A.IsEmpty)
{
return(ILArray <fcomplex> .empty(A.Dimensions));
}
if (A.IsScalar || A.Dimensions[dim] == 1)
{
return(ILMath.tofcomplex(A));
}
// prepare output array
ILArray <fcomplex> ret = ILMath.tofcomplex(A);
fft1dInplace(dim, ret, ACMLValues.Forward);
return(ret);
}
public ILArray <fcomplex> FFTForward(ILArray <float> A, int nDims)
{
if (A == null || nDims <= 0)
{
throw new ILArgumentException("invalid parameter!");
}
if (A.IsEmpty)
{
return(ILArray <fcomplex> .empty(A.Dimensions));
}
if (A.IsScalar || (A.Dimensions[0] == 1 && nDims == 1))
{
return(ILMath.tofcomplex(A));
}
if (nDims > A.Dimensions.NumberOfDimensions)
{
return(FFTForward(A, A.Dimensions.NumberOfDimensions));
}
// prepare output array + transform each dimension inplace
ILArray <fcomplex> ret = ILMath.tofcomplex(A);
switch (nDims)
{
case 2:
fft2dInplace(ret, ACMLValues.Forward);
break;
default:
for (int i = 0; i < nDims; i++)
{
fft1dInplace(i, ret, ACMLValues.Forward);
}
break;
}
return(ret);
}
/// <summary>
/// run all tests for ILMatFile
/// </summary>
public override void Run()
{
// tests: creation
// =================
Header();
Test_TestMatlab();
Test_StreamMatlab("testarray1.mat", ILMath.empty());
Test_StreamMatlab("testarray1.mat", ILMath.ones(1, 1));
Test_StreamMatlab("testarray1.mat", ILMath.rand(10, 1));
Test_StreamMatlab("testarray1.mat", ILMath.rand(1, 10));
Test_StreamMatlab("testarray1.mat", ILMath.rand(0, 1));
Test_StreamMatlab("testarray1.mat", ILMath.rand(10, 100, 4));
Test_StreamMatlab("testarray1.mat", ILMath.tosingle(ILMath.ones(1, 1)));
Test_StreamMatlab("testarray1.mat", ILMath.tosingle(ILMath.empty()));
Test_StreamMatlab("testarray1.mat", ILMath.tosingle(ILMath.rand(10, 1)));
Test_StreamMatlab("testarray1.mat", ILMath.tosingle(ILMath.rand(1, 10)));
Test_StreamMatlab("testarray1.mat", ILMath.tosingle(ILMath.rand(0, 1)));
Test_StreamMatlab("testarray1.mat", ILMath.tosingle(ILMath.rand(10, 100, 4)));
Test_StreamMatlab("testarray1.mat", ILMath.tological(ILMath.ones(1, 1)));
Test_StreamMatlab("testarray1.mat", ILMath.tological(ILMath.empty()));
Test_StreamMatlab("testarray1.mat", ILMath.tological(ILMath.rand(10, 1)));
Test_StreamMatlab("testarray1.mat", ILMath.tological(ILMath.rand(1, 10)));
Test_StreamMatlab("testarray1.mat", ILMath.tological(ILMath.rand(0, 1)));
Test_StreamMatlab("testarray1.mat", ILMath.tological(ILMath.rand(10, 100, 4)));
Test_StreamMatlab("testarray1.mat", new ILArray <complex>(new complex[] { new complex(1.0, 2.0) }));
Test_StreamMatlab("testarray1.mat", ILMath.tocomplex(ILMath.empty()));
Test_StreamMatlab("testarray1.mat", ILMath.tocomplex(ILMath.rand(10, 1)));
Test_StreamMatlab("testarray1.mat", ILMath.tocomplex(ILMath.rand(1, 10)));
Test_StreamMatlab("testarray1.mat", ILMath.tocomplex(ILMath.rand(0, 1)));
Test_StreamMatlab("testarray1.mat", ILMath.tocomplex(ILMath.rand(10, 100, 4)));
Test_StreamMatlab("testarray1.mat", new ILArray <fcomplex>(new fcomplex[] { new fcomplex(1.0f, 2.0f) }));
Test_StreamMatlab("testarray1.mat", ILMath.tofcomplex(ILMath.empty()));
Test_StreamMatlab("testarray1.mat", ILMath.tofcomplex(ILMath.rand(10, 1)));
Test_StreamMatlab("testarray1.mat", ILMath.tofcomplex(ILMath.rand(1, 10)));
Test_StreamMatlab("testarray1.mat", ILMath.tofcomplex(ILMath.rand(0, 1)));
Test_StreamMatlab("testarray1.mat", ILMath.tofcomplex(ILMath.rand(10, 100, 4)));
Test_StreamMatlab("testarray1.mat", new ILArray <char>(new char[] { 'A', 'B', 'F' }));
Test_StreamMatlab("testarray1.mat", new ILArray <char>(new char[] { 'A', 'B', 'F' }).T);
Test_StreamMatlab("testarray1.mat", ILMath.tochar(ILMath.empty()));
Test_StreamMatlab("testarray1.mat", ILMath.tochar(ILMath.rand(10, 1) * 250));
Test_StreamMatlab("testarray1.mat", ILMath.tochar(ILMath.rand(1, 10) * 250));
Test_StreamMatlab("testarray1.mat", ILMath.tochar(ILMath.rand(0, 1) * 250));
Test_StreamMatlab("testarray1.mat", ILMath.tochar(ILMath.rand(10, 100, 4) * 250));
Test_StreamMatlab("testarray1.mat", ILMath.tobyte(ILMath.ones(1, 1)));
Test_StreamMatlab("testarray1.mat", ILMath.tobyte(ILMath.empty()));
Test_StreamMatlab("testarray1.mat", ILMath.tobyte(ILMath.rand(10, 1)));
Test_StreamMatlab("testarray1.mat", ILMath.tobyte(ILMath.rand(1, 10) * 255));
Test_StreamMatlab("testarray1.mat", ILMath.tobyte(ILMath.rand(0, 1) * 255));
Test_StreamMatlab("testarray1.mat", ILMath.tobyte(ILMath.rand(10, 100, 4) * 255));
Test_StreamMatlab("testarray1.mat", ILMath.toint16(ILMath.ones(1, 1) * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.toint16(ILMath.empty()) * 16000);
Test_StreamMatlab("testarray1.mat", ILMath.toint16(ILMath.rand(10, 1) * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.toint16(ILMath.rand(1, 10) * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.toint16(ILMath.rand(0, 1) * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.toint16(ILMath.rand(10, 100, 4) * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.toint32(ILMath.ones(1, 1) * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.toint32(ILMath.empty() * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.toint32(ILMath.rand(10, 1) * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.toint32(ILMath.rand(1, 10) * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.toint32(ILMath.rand(0, 1) * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.toint32(ILMath.rand(10, 100, 4) * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.touint16(ILMath.ones(1, 1) * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.touint16(ILMath.empty() * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.touint16(ILMath.rand(10, 1) * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.touint16(ILMath.rand(1, 10) * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.touint16(ILMath.rand(0, 1) * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.touint16(ILMath.rand(10, 100, 4) * 16000));
Test_StreamMatlab("testarray1.mat", ILMath.touint32(ILMath.ones(1, 1)));
Test_StreamMatlab("testarray1.mat", ILMath.touint32(ILMath.empty()));
Test_StreamMatlab("testarray1.mat", ILMath.touint32(ILMath.rand(10, 1)));
Test_StreamMatlab("testarray1.mat", ILMath.touint32(ILMath.rand(1, 10)));
Test_StreamMatlab("testarray1.mat", ILMath.touint32(ILMath.rand(0, 1)));
Test_StreamMatlab("testarray1.mat", ILMath.touint32(ILMath.rand(10, 100, 4)));
Test_ImportMatlab2();
Test_ImportMatlab();
Test_NameRestrictions();
// summary
Footer();
}