operators.cpp

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#include <itpp/base/operators.h>


namespace itpp
{

//-----------  Scalar and a ivec -----------------

vec operator+(const double &s, const ivec &v)
{
  it_assert_debug(v.size() > 0, "operator+(): Vector of zero length");

  vec temp(v.size());
  for (int i = 0;i < v.size();i++) {
    temp(i) = s + double(v(i));
  }
  return temp;
}

vec operator-(const double &s, const ivec &v)
{
  it_assert_debug(v.size() > 0, "operator-(): Vector of zero length");

  vec temp(v.size());
  for (int i = 0;i < v.size();i++) {
    temp(i) = s - double(v(i));
  }
  return temp;
}

vec operator*(const double &s, const ivec &v)
{
  it_assert_debug(v.size() > 0, "operator*(): Vector of zero length");

  vec temp(v.size());
  for (int i = 0;i < v.size();i++) {
    temp(i) = s * double(v(i));
  }
  return temp;
}

vec operator/(const double &s, const ivec &v)
{
  it_assert_debug(v.size() > 0, "operator/(): Vector of zero length");

  vec temp(v.size());
  for (int i = 0;i < v.size();i++) {
    temp(i) = s / double(v(i));
  }
  return temp;
}

vec operator/(const ivec &v, const double &s)
{
  it_assert_debug(v.size() > 0, "operator/(): Vector of zero length");

  vec temp(v.size());
  for (int i = 0;i < v.size();i++) {
    temp(i) = double(v(i)) / s;
  }
  return temp;
}

cvec operator+(const std::complex<double> &s, const ivec &v)
{
  it_assert_debug(v.size() > 0, "operator+(): Vector of zero length");

  cvec temp(v.size());
  for (int i = 0;i < v.size();i++) {
    temp(i) = s + std::complex<double>(v(i));
  }
  return temp;
}

cvec operator-(const std::complex<double> &s, const ivec &v)
{
  it_assert_debug(v.size() > 0, "operator-(): Vector of zero length");

  cvec temp(v.size());
  for (int i = 0;i < v.size();i++) {
    temp(i) = s - std::complex<double>(v(i));
  }
  return temp;
}

cvec operator*(const std::complex<double> &s, const ivec &v)
{
  it_assert_debug(v.size() > 0, "operator*(): Vector of zero length");

  cvec temp(v.size());
  for (int i = 0;i < v.size();i++) {
    temp(i) = s * std::complex<double>(v(i));
  }
  return temp;
}

cvec operator/(const std::complex<double> &s, const ivec &v)
{
  it_assert_debug(v.size() > 0, "operator/(): Vector of zero length");

  cvec temp(v.size());
  for (int i = 0;i < v.size();i++) {
    temp(i) = s / std::complex<double>(v(i));
  }
  return temp;
}

cvec operator/(const ivec &v, const std::complex<double> &s)
{
  it_assert_debug(v.size() > 0, "operator/(): Vector of zero length");

  cvec temp(v.size());
  for (int i = 0;i < v.size();i++) {
    temp(i) = std::complex<double>(v(i)) / s;
  }
  return temp;
}

//-----------  Scalar and a cvec -----------------

cvec operator+(const double &s, const cvec &v)
{
  it_assert_debug(v.size() > 0, "operator+(): Vector of zero length");

  cvec temp = v;
  for (int i = 0;i < v.size();i++) {
    temp(i) += s;
  }
  return temp;
}

cvec operator-(const double &s, const cvec &v)
{
  it_assert_debug(v.size() > 0, "operator-(): Vector of zero length");

  cvec temp(v.size());
  for (int i = 0;i < v.size();i++) {
    temp(i) = std::complex<double>((double)s - v(i).real(), -v(i).imag());
  }
  return temp;
}

cvec operator*(const double &s, const cvec &v)
{
  it_assert_debug(v.size() > 0, "operator*(): Vector of zero length");

  cvec temp = v;
  for (int i = 0;i < v.size();i++) {
    temp(i) *= (double)s;
  }
  return temp;
}

cvec operator/(const cvec &v, const double &s)
{
  it_assert_debug(v.size() > 0, "operator/(): Vector of zero length");

  cvec temp = v;
  for (int i = 0;i < v.size();i++) {
    temp(i) /= (double)s;
  }
  return temp;
}

cvec operator/(const double &s, const cvec &v)
{
  it_assert_debug(v.size() > 0, "operator/(): Vector of zero length");

  cvec temp(v.length());
  for (int i = 0;i < v.size();i++) {
    temp(i) = s / v(i);
  }
  return temp;
}

//-----------  Scalar and a cmat -----------------

cmat operator+(const double &s, const cmat &m)
{
  it_assert_debug(m.rows() > 0 && m.cols() > 0, "operator+(): Matrix of zero length");

  cmat temp = m;
  for (int i = 0;i < m._datasize();i++) {
    temp._data()[i] += s;
  }
  return temp;
}

cmat operator-(const double &s, const cmat &m)
{
  it_assert_debug(m.rows() > 0 && m.cols() > 0, "operator-(): Matrix of zero length");

  cmat temp(m.rows(), m.cols());
  for (int i = 0;i < m._datasize();i++) {
    temp._data()[i] = std::complex<double>((double)s - m(i).real(), -m(i).imag());
  }
  return temp;
}

cmat operator*(const double &s, const cmat &m)
{
  it_assert_debug(m.rows() > 0 && m.cols() > 0, "operator*(): Matrix of zero length");

  cmat temp = m;
  for (int i = 0;i < m._datasize();i++) {
    temp._data()[i] *= (double)s;
  }
  return temp;
}

cmat operator*(const std::complex<double> &s, const mat &m)
{
  it_assert_debug(m.rows() > 0 && m.cols() > 0, "operator*(): Matrix of zero length");

  cmat temp(m.rows(), m.cols());

  for (int i = 0;i < m._datasize();i++) {
    temp._data()[i] = s * m._data()[i];
  }
  return temp;
}

cmat operator/(const cmat &m, const double &s)
{
  it_assert_debug(m.rows() > 0 && m.cols() > 0, "operator/(): Matrix of zero length");

  cmat temp = m;
  for (int i = 0;i < m._datasize();i++) {
    temp._data()[i] /= (double)s;
  }
  return temp;
}

//---------------------- between matrix and scalar --------------------

//----------- Multiplication of a scalar and a vec -----------------

cvec operator*(const std::complex<double> &s, const vec &v)
{
  cvec temp(v.size());
  for (int i = 0;i < v.size();i++) {
    temp(i) = s * std::complex<double>(v(i), 0.0);
  }
  return temp;
}

cvec operator*(const vec &v, const std::complex<double> &s)
{
  cvec temp(v.size());
  for (int i = 0;i < v.size();i++) {
    temp(i) = s * std::complex<double>(v(i), 0.0);
  }
  return temp;
}

// ===============================================================================================

// ---------------- Addition of vectors ---------------


vec operator+(const bvec &a, const vec &b)
{
  it_assert_debug(a.size() == b.size(), "operator+(): sizes does not match");
  vec temp(a.size());
  for (int i = 0;i < a.size();i++) {temp(i) = (double)a(i) + b(i);}
  return temp;
}

vec operator+(const svec &a, const vec &b)
{
  it_assert_debug(a.size() == b.size(), "operator+(): sizes does not match");
  vec temp(a.size());
  for (int i = 0;i < a.size();i++) {temp(i) = (double)a(i) + b(i);}
  return temp;
}

vec operator+(const ivec &a, const vec &b)
{
  it_assert_debug(a.size() == b.size(), "operator+(): sizes does not match");
  vec temp(a.size());
  for (int i = 0;i < a.size();i++) {temp(i) = (double)a(i) + b(i);}
  return temp;
}

cvec operator+(const bvec &a, const cvec &b)
{
  it_assert_debug(a.size() == b.size(), "operator+(): sizes does not match");
  cvec temp = b;
  for (int i = 0;i < a.size();i++) {temp(i) += (double)a(i);}
  return temp;
}

cvec operator+(const svec &a, const cvec &b)
{
  it_assert_debug(a.size() == b.size(), "operator+(): sizes does not match");
  cvec temp = b;
  for (int i = 0;i < a.size();i++) {temp(i) += (double)a(i);}
  return temp;
}

cvec operator+(const ivec &a, const cvec &b)
{
  it_assert_debug(a.size() == b.size(), "operator+(): sizes does not match");
  cvec temp = b;
  for (int i = 0;i < a.size();i++) {temp(i) += (double)a(i);}
  return temp;
}

// ---------------- Multiplication of vectors ---------------

double operator*(const bvec &a, const vec &b)
{
  it_assert_debug(a.size() == b.size(), "operator*(): sizes does not match");
  double temp = 0;
  for (int i = 0;i < a.size();i++) {temp += (double)a(i) * b(i);}
  return temp;
}

double operator*(const svec &a, const vec &b)
{
  it_assert_debug(a.size() == b.size(), "operator*(): sizes does not match");
  double temp = 0;
  for (int i = 0;i < a.size();i++) {temp += (double)a(i) * b(i);}
  return temp;
}

double operator*(const ivec &a, const vec &b)
{
  it_assert_debug(a.size() == b.size(), "operator*(): sizes does not match");
  double temp = 0;
  for (int i = 0;i < a.size();i++) {temp += (double)a(i) * b(i);}
  return temp;
}

std::complex<double> operator*(const bvec &a, const cvec &b)
{
  it_assert_debug(a.size() == b.size(), "operator*(): sizes does not match");
  std::complex<double> temp = 0;
  for (int i = 0;i < a.size();i++) {temp += (double)a(i) * b(i);}
  return temp;
}

std::complex<double> operator*(const svec &a, const cvec &b)
{
  it_assert_debug(a.size() == b.size(), "operator*(): sizes does not match");
  std::complex<double> temp = 0;
  for (int i = 0;i < a.size();i++) {temp += (double)a(i) * b(i);}
  return temp;
}

std::complex<double> operator*(const ivec &a, const cvec &b)
{
  it_assert_debug(a.size() == b.size(), "operator*(): sizes does not match");
  std::complex<double> temp = 0;
  for (int i = 0;i < a.size();i++) {temp += (double)a(i) * b(i);}
  return temp;
}

// ---------------- Addition of matricies ---------------

mat operator+(const bmat &a, const mat &b)
{
  it_assert_debug(a.cols() == b.cols() && a.rows() == b.rows(), "operator+(): sizes does not match");
  mat temp(b);

  for (int i = 0;i < a.rows();i++) {
    for (int j = 0;j < a.cols();j++) {
      temp(i, j) += (double)a(i, j);
    }
  }
  return temp;
}

mat operator+(const smat &a, const mat &b)
{
  it_assert_debug(a.cols() == b.cols() && a.rows() == b.rows(), "operator+(): sizes does not match");
  mat temp(b);

  for (int i = 0;i < a.rows();i++) {
    for (int j = 0;j < a.cols();j++) {
      temp(i, j) += (double)a(i, j);
    }
  }
  return temp;
}

mat operator+(const imat &a, const mat &b)
{
  it_assert_debug(a.cols() == b.cols() && a.rows() == b.rows(), "operator+(): sizes does not match");
  mat temp(b);

  for (int i = 0;i < a.rows();i++) {
    for (int j = 0;j < a.cols();j++) {
      temp(i, j) += (double)a(i, j);
    }
  }
  return temp;
}

// ---------------- Addition of cmat and matrices ---------------

cmat operator+(const bmat &a, const cmat &b)
{
  it_assert_debug(a.cols() == b.cols() && a.rows() == b.rows(), "operator+(): sizes does not match");
  cmat temp(b);

  for (int i = 0;i < a.rows();i++) {
    for (int j = 0;j < a.cols();j++) {
      temp(i, j) += std::complex<double>(static_cast<double>(a(i, j)), 0.0);
    }
  }
  return temp;
}

cmat operator+(const smat &a, const cmat &b)
{
  it_assert_debug(a.cols() == b.cols() && a.rows() == b.rows(), "operator+(): sizes does not match");
  cmat temp(b);

  for (int i = 0;i < a.rows();i++) {
    for (int j = 0;j < a.cols();j++) {
      temp(i, j) += (double)a(i, j);
    }
  }
  return temp;
}

cmat operator+(const imat &a, const cmat &b)
{
  it_assert_debug(a.cols() == b.cols() && a.rows() == b.rows(), "operator+(): sizes does not match");
  cmat temp(b);

  for (int i = 0;i < a.rows();i++) {
    for (int j = 0;j < a.cols();j++) {
      temp(i, j) += std::complex<double>(static_cast<double>(a(i, j)), 0.0);
    }
  }
  return temp;
}

cmat operator+(const mat &a, const cmat &b)
{
  it_assert_debug(a.cols() == b.cols() && a.rows() == b.rows(), "operator+(): sizes does not match");
  cmat temp(b);

  for (int i = 0;i < a.rows();i++) {
    for (int j = 0;j < a.cols();j++) {
      temp(i, j) += std::complex<double>(static_cast<double>(a(i, j)), 0.0);
    }
  }
  return temp;
}

} // namespace itpp