double_vector.h

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// LIC// ====================================================================
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// LIC// multi-physics finite-element library, available
// LIC// at http://www.oomph-lib.org.
// LIC//
// LIC// Copyright (C) 2006-2024 Matthias Heil and Andrew Hazel
// LIC//
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// LIC// License as published by the Free Software Foundation; either
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// LIC// Lesser General Public License for more details.
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#ifndef OOMPH_DOUBLE_VECTOR_CLASS_HEADER
#define OOMPH_DOUBLE_VECTOR_CLASS_HEADER
 
// Config header generated by autoconfig
#ifdef HAVE_CONFIG_H
#include <oomph-lib-config.h>
#endif
 
#ifdef OOMPH_HAS_MPI
#include "mpi.h"
#endif
 
// c++ headers
#include <algorithm>
#include <ostream>
 
// oomph headers
#include "linear_algebra_distribution.h"
 
 
namespace oomph
{
  class CRDoubleMatrix;
 
  //=============================================================================
  /// A vector in the mathematical sense, initially developed for
  /// linear algebra type applications.
  /// If MPI then this vector can be distributed - its distribution is
  /// described by the LinearAlgebraDistribution object at Distribution_pt.
  /// Data is stored in a C-style pointer vector (double*)
  //=============================================================================
  class DoubleVector : public DistributableLinearAlgebraObject
  {
  public:
    /// Constructor for an uninitialized DoubleVector
    DoubleVector() : Values_pt(0), Internal_values(true), Built(false) {}
 
    /// Constructor. Assembles a DoubleVector with a prescribed
    /// distribution. Additionally every entry can be set (with argument v -
    /// defaults to 0).
    DoubleVector(const LinearAlgebraDistribution* const& dist_pt,
                 const double& v = 0.0)
      : Values_pt(0), Internal_values(true), Built(false)
    {
      this->build(dist_pt, v);
    }
 
    /// Constructor. Assembles a DoubleVector with a prescribed
    /// distribution. Additionally every entry can be set (with argument v -
    /// defaults to 0).
    DoubleVector(const LinearAlgebraDistribution& dist, const double& v = 0.0)
      : Values_pt(0), Internal_values(true), Built(false)
    {
      this->build(dist, v);
    }
 
    /// Destructor - just calls this->clear() to delete the distribution and
    /// data
    ~DoubleVector()
    {
      this->clear();
    }
 
    /// Copy constructor
    DoubleVector(const DoubleVector& new_vector)
      : DistributableLinearAlgebraObject(),
        Values_pt(0),
        Internal_values(true),
        Built(false)
    {
      this->build(new_vector);
    }
 
    /// assignment operator
    void operator=(const DoubleVector& old_vector)
    {
      this->build(old_vector);
    }
 
    /// Just copys the argument DoubleVector
    void build(const DoubleVector& old_vector);
 
    /// Assembles a DoubleVector with distribution dist, if v is
    /// specified each element is set to v, otherwise each element is set to 0.0
    void build(const LinearAlgebraDistribution& dist, const double& v)
    {
      this->build(&dist, v);
    }
 
    /// Assembles a DoubleVector with distribution dist, if v is
    /// specified each element is set to v, otherwise each element is set to 0.0
    void build(const LinearAlgebraDistribution* const& dist_pt,
               const double& v);
 
    /// Assembles a DoubleVector with a distribution dist and
    /// coefficients taken from the vector v. Note. The vector v MUST be of
    /// length nrow()
    void build(const LinearAlgebraDistribution& dist, const Vector<double>& v)
    {
      this->build(&dist, v);
    }
 
    /// Assembles a DoubleVector with a distribution dist and
    /// coefficients taken from the vector v. Note. The vector v MUST be of
    /// length nrow()
    void build(const LinearAlgebraDistribution* const& dist_pt,
               const Vector<double>& v);
 
    /// initialise the whole vector with value v
    void initialise(const double& v);
 
    /// initialise the vector with coefficient from the vector v.
    /// Note: The vector v must be of length
    void initialise(const Vector<double> v);
 
    /// wipes the DoubleVector
    void clear()
    {
      if (Internal_values)
      {
        delete[] Values_pt;
      }
      Values_pt = 0;
      this->clear_distribution();
      Built = false;
    }
 
    // indicates whether this DoubleVector is built
    bool built() const
    {
      return Built;
    }
 
    /// Allows are external data to be used by this vector.
    /// WARNING: The size of the external data must correspond to the
    /// LinearAlgebraDistribution dist_pt argument.
    /// 1. When a rebuild method is called new internal values are created.
    /// 2. It is not possible to redistribute(...) a vector with external
    /// values .
    /// 3. External values are only deleted by this vector if
    /// delete_external_values = true.
    void set_external_values(const LinearAlgebraDistribution* const& dist_pt,
                             double* external_values,
                             bool delete_external_values)
    {
      // clean the memory
      this->clear();
 
      // Set the distribution
      this->build_distribution(dist_pt);
      // Say that it's built
      Built = true;
 
      // set the external values
      set_external_values(external_values, delete_external_values);
    }
 
    /// Allows are external data to be used by this vector.
    /// WARNING: The size of the external data must correspond to the
    /// distribution of this vector.
    /// 1. When a rebuild method is called new internal values are created.
    /// 2. It is not possible to redistribute(...) a vector with external
    /// values .
    /// 3. External values are only deleted by this vector if
    /// delete_external_values = true.
    void set_external_values(double* external_values,
                             bool delete_external_values)
    {
#ifdef PARANOID
      // check that this distribution is setup
      if (!this->distribution_built())
      {
        // if this vector does not own the double* values then it cannot be
        // distributed.
        // note: this is not stictly necessary - would just need to be careful
        // with delete[] below.
        std::ostringstream error_message;
        error_message << "The distribution of the vector must be setup before "
                      << "external values can be set";
        throw OomphLibError(error_message.str(),
                            OOMPH_CURRENT_FUNCTION,
                            OOMPH_EXCEPTION_LOCATION);
      }
#endif
      if (Internal_values)
      {
        delete[] Values_pt;
      }
      Values_pt = external_values;
      Internal_values = delete_external_values;
    }
 
    /// The contents of the vector are redistributed to match the new
    /// distribution. In a non-MPI rebuild this method works, but does nothing.
    /// \b NOTE 1: The current distribution and the new distribution must have
    /// the same number of global rows.
    /// \b NOTE 2: The current distribution and the new distribution must have
    /// the same Communicator.
    void redistribute(const LinearAlgebraDistribution* const& dist_pt);
 
    /// [] access function to the (local) values of this vector
    double& operator[](int i);
 
    /// == operator
    bool operator==(const DoubleVector& v);
 
    /// += operator with another vector
    void operator+=(const DoubleVector& v);
 
    /// -= operator with another vector
    void operator-=(const DoubleVector& v);
 
    /// multiply by a double
    void operator*=(const double& d);
 
    /// divide by a double
    void operator/=(const double& d);
 
    /// [] access function to the (local) values of this vector
    const double& operator[](int i) const;
 
    /// Ouput operator for DoubleVector
    friend std::ostream& operator<<(std::ostream& out, const DoubleVector& v);
 
    /// returns the maximum coefficient
    double max() const;
 
    /// access function to the underlying values
    double* values_pt()
    {
      return Values_pt;
    }
 
    /// access function to the underlying values (const version)
    double* values_pt() const
    {
      return Values_pt;
    }
 
    /// output the global contents of the vector
    void output(std::ostream& outfile, const int& output_precision = -1) const;
 
    /// output the global contents of the vector
    void output(std::string filename, const int& output_precision = -1) const
    {
      // Open file
      std::ofstream some_file;
      some_file.open(filename.c_str());
      output(some_file, output_precision);
      some_file.close();
    }
 
    /// output the local contents of the vector
    void output_local_values(std::ostream& outfile,
                             const int& output_precision = -1) const;
 
    /// output the local contents of the vector
    void output_local_values(std::string filename,
                             const int& output_precision = -1) const
    {
      // Open file
      std::ofstream some_file;
      some_file.open(filename.c_str());
      output_local_values(some_file, output_precision);
      some_file.close();
    }
 
    /// output the local contents of the vector
    void output_local_values_with_offset(
      std::ostream& outfile, const int& output_precision = -1) const;
 
    /// output the local contents of the vector
    void output_local_values_with_offset(std::string filename,
                                         const int& output_precision = -1) const
    {
      // Open file
      std::ofstream some_file;
      some_file.open(filename.c_str());
      output_local_values_with_offset(some_file, output_precision);
      some_file.close();
    }
 
    /// compute the dot product of this vector with the vector vec.
    double dot(const DoubleVector& vec) const;
 
    /// compute the 2 norm of this vector
    double norm() const;
 
    /// compute the A-norm using the matrix at matrix_pt
    double norm(const CRDoubleMatrix* matrix_pt) const;
 
  private:
    /// the local vector
    double* Values_pt;
 
    /// Boolean flag to indicate whether the vector's data (values_pt)
    /// is owned by this vector.
    bool Internal_values;
 
    /// indicates that the vector has been built and is usable
    bool Built;
 
  }; // end of DoubleVector
 
  //=================================================================
  /// Namespace for helper functions for DoubleVectors
  //=================================================================
  namespace DoubleVectorHelpers
  {
    /// Concatenate DoubleVectors.
    /// Takes a Vector of DoubleVectors. If the out vector is built, we will not
    /// build a new distribution. Otherwise we build a uniform distribution.
    ///
    /// The rows of the out vector is seen "as it is" in the in vectors.
    /// For example, if we have DoubleVectors with distributions A and B,
    /// distributed across two processors (p0 and p1),
    ///
    /// A: [a0] (on p0)    B: [b0] (on p0)
    ///    [a1] (on p1)       [b1] (on P1),
    ///
    /// then the out_vector is
    ///
    /// [a0  (on p0)
    ///  a1] (on p0)
    /// [b0]  (on p1)
    ///  b1] (on p1),
    ///
    /// Communication is required between processors. The sum of the global
    /// number of rows in the in vectors must equal to the global number of rows
    /// in the out vector. This condition must be met if one is to supply an out
    /// vector with a distribution, otherwise we can let the function generate
    /// the out vector distribution itself.
    void concatenate(const Vector<DoubleVector*>& in_vector_pt,
                     DoubleVector& out_vector);
 
    /// Wrapper around the other concatenate(...) function.
    /// Be careful with Vector of vectors. If the DoubleVectors are resized,
    /// there could be reallocation of memory. If we wanted to use the function
    /// which takes a Vector of pointers to DoubleVectors, we would either have
    /// to invoke new and remember to delete, or create a temporary Vector to
    /// store pointers to the DoubleVector objects.
    /// This wrapper is meant to make life easier for the user by avoiding calls
    /// to new/delete AND without creating a temporary vector of pointers to
    /// DoubleVectors.
    /// If we had C++ 11, this would be so much nicer since we can use smart
    /// pointers which will delete themselves, so we do not have to remember
    /// to delete!
    void concatenate(Vector<DoubleVector>& in_vector, DoubleVector& out_vector);
 
    /// Split a DoubleVector into the out DoubleVectors.
    /// Let vec_A be the in Vector, and let vec_B and vec_C be the out vectors.
    /// Then the splitting of vec_A is depicted below:
    /// vec_A: [a0  (on p0)
    ///         a1] (on p0)
    ///        [a2  (on p1)
    ///         a3] (on p1)
    ///
    /// vec_B: [a0] (on p0)    vec_C: [a2] (on p0)
    ///        [a1] (on p1)           [a3] (on p1)
    ///
    /// Communication is required between processors.
    /// The out_vector_pt must contain pointers to DoubleVector which has
    /// already been built with the correct distribution; the sum of the number
    /// of global row of the out vectors must be the same the the number of
    /// global rows of the in vector.
    void split(const DoubleVector& in_vector,
               Vector<DoubleVector*>& out_vector_pt);
 
    /// Wrapper around the other split(...) function.
    /// Be careful with Vector of vectors. If the DoubleVectors are resized,
    /// there could be reallocation of memory. If we wanted to use the function
    /// which takes a Vector of pointers to DoubleVectors, we would either have
    /// to invoke new and remember to delete, or create a temporary Vector to
    /// store pointers to the DoubleVector objects.
    /// This wrapper is meant to make life easier for the user by avoiding calls
    /// to new/delete AND without creating a temporary vector of pointers to
    /// DoubleVectors.
    /// If we had C++ 11, this would be so much nicer since we can use smart
    /// pointers which will delete themselves, so we do not have to remember
    /// to delete!
    void split(const DoubleVector& in_vector, Vector<DoubleVector>& out_vector);
 
    /// Concatenate DoubleVectors.
    /// Takes a Vector of DoubleVectors. If the out vector is built, we will not
    /// build a new distribution. Otherwise a new distribution will be built
    /// using LinearAlgebraDistribution::concatenate(...).
    ///
    /// The out vector has its rows permuted according to the individual
    /// distributions of the in vectors. For example, if we have DoubleVectors
    /// with distributions A and B, distributed across two processors
    /// (p0 and p1),
    ///
    /// A: [a0] (on p0)    B: [b0] (on p0)
    ///    [a1] (on p1)       [b1] (on P1),
    ///
    /// then the out_vector is
    ///
    /// [a0  (on p0)
    ///  b0] (on p0)
    /// [a1  (on p1)
    ///  b1] (on p1),
    ///
    /// as opposed to
    ///
    /// [a0  (on p0)
    ///  a1] (on p0)
    /// [b0  (on p1)
    ///  b1] (on p1).
    ///
    /// Note (1): The out vector may not be uniformly distributed even
    /// if the the in vectors have uniform distributions. The nrow_local of the
    /// out vector will be the sum of the nrow_local of the in vectors.
    /// Try this out with two distributions of global rows 3 and 5, uniformly
    /// distributed across two processors. Compare this against a distribution
    /// of global row 8 distributed across two processors.
    ///
    /// There are no MPI send and receive, the data stays on the processor
    /// as defined by the distributions from the in vectors.
    void concatenate_without_communication(
      const Vector<DoubleVector*>& in_vector_pt, DoubleVector& out_vector);
 
    /// Wrapper around the other concatenate_without_communication(...)
    /// function.
    /// Be careful with Vector of vectors. If the DoubleVectors are resized,
    /// there could be reallocation of memory. If we wanted to use the function
    /// which takes a Vector of pointers to DoubleVectors, we would either have
    /// to invoke new and remember to delete, or create a temporary Vector to
    /// store pointers to the DoubleVector objects.
    /// This wrapper is meant to make life easier for the user by avoiding calls
    /// to new/delete AND without creating a temporary vector of pointers to
    /// DoubleVectors.
    /// If we had C++ 11, this would be so much nicer since we can use smart
    /// pointers which will delete themselves, so we do not have to remember
    /// to delete!
    void concatenate_without_communication(Vector<DoubleVector>& in_vector,
                                           DoubleVector& out_vector);
 
    /// Split a DoubleVector into the out DoubleVectors.
    /// Data stays on its current processor, no data is sent between processors.
    /// This results in our vectors which are a permutation of the in vector.
    ///
    /// Let vec_A be the in Vector, and let vec_B and vec_C be the out vectors.
    /// Then the splitting of vec_A is depicted below:
    /// vec_A: [a0  (on p0)
    ///         a1] (on p0)
    ///        [a2  (on p1)
    ///         a3] (on p1)
    ///
    /// vec_B: [a0] (on p0)    vec_C: [a1] (on p0)
    ///        [a2] (on p1)           [a3] (on p1).
    ///
    /// This means that the distribution of the in vector MUST be a
    /// concatenation of the out vector distributions, refer to
    /// LinearAlgebraDistributionHelpers::concatenate(...) to concatenate
    /// distributions.
    void split_without_communication(const DoubleVector& in_vector,
                                     Vector<DoubleVector*>& out_vector_pt);
 
    /// Wrapper around the other split_without_communication(...)
    /// function.
    /// Be careful with Vector of vectors. If the DoubleVectors are resized,
    /// there could be reallocation of memory. If we wanted to use the function
    /// which takes a Vector of pointers to DoubleVectors, we would either have
    /// to invoke new and remember to delete, or create a temporary Vector to
    /// store pointers to the DoubleVector objects.
    /// This wrapper is meant to make life easier for the user by avoiding calls
    /// to new/delete AND without creating a temporary vector of pointers to
    /// DoubleVectors.
    /// If we had C++ 11, this would be so much nicer since we can use smart
    /// pointers which will delete themselves, so we do not have to remember
    /// to delete!
    void split_without_communication(const DoubleVector& in_vector,
                                     Vector<DoubleVector>& out_vector);
 
  } // namespace DoubleVectorHelpers
 
} // namespace oomph
#endif