C++ (Cpp) imagUnit示例

示例#1

文件： matrix_function.cpp 项目： EVERTims/auralization_engine_evertims

void testGonioFunctions(const MatrixType& A)
{
  typedef typename MatrixType::Scalar Scalar;
  typedef typename NumTraits<Scalar>::Real RealScalar;
  typedef std::complex<RealScalar> ComplexScalar;
  typedef Matrix<ComplexScalar, MatrixType::RowsAtCompileTime, 
                 MatrixType::ColsAtCompileTime, MatrixType::Options> ComplexMatrix;

  ComplexScalar imagUnit(0,1);
  ComplexScalar two(2,0);

  ComplexMatrix Ac = A.template cast<ComplexScalar>();
  
  ComplexMatrix exp_iA = (imagUnit * Ac).exp();
  ComplexMatrix exp_miA = (-imagUnit * Ac).exp();
  
  ComplexMatrix sinAc = A.sin().template cast<ComplexScalar>();
  VERIFY_IS_APPROX_ABS(sinAc, (exp_iA - exp_miA) / (two*imagUnit));
  
  ComplexMatrix cosAc = A.cos().template cast<ComplexScalar>();
  VERIFY_IS_APPROX_ABS(cosAc, (exp_iA + exp_miA) / 2);
}

示例#2

文件： matrix_exponential.cpp 项目： AIRLab-POLIMI/ROAMFREE

void test2dHyperbolicRotation(double tol)
{
  Matrix<std::complex<T>,2,2> A, B, C;
  std::complex<T> imagUnit(0,1);
  T angle, ch, sh;

  for (int i=0; i<=20; i++)
  {
    angle = static_cast<T>((i-10) / 2.0);
    ch = std::cosh(angle);
    sh = std::sinh(angle);
    A << 0, angle*imagUnit, -angle*imagUnit, 0;
    B << ch, sh*imagUnit, -sh*imagUnit, ch;

    C = A.matrixFunction(expfn);
    std::cout << "test2dHyperbolicRotation: i = " << i << "   error funm = " << relerr(C, B);
    VERIFY(C.isApprox(B, static_cast<T>(tol)));

    C = A.exp();
    std::cout << "   error expm = " << relerr(C, B) << "\n";
    VERIFY(C.isApprox(B, static_cast<T>(tol)));
  }
}