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+/* $Id: CoinPackedMatrix.hpp 1560 2012-11-24 00:29:01Z lou $ */
+// Copyright (C) 2000, International Business Machines
+// Corporation and others. All Rights Reserved.
+// This code is licensed under the terms of the Eclipse Public License (EPL).
+
+#ifndef CoinPackedMatrix_H
+#define CoinPackedMatrix_H
+
+#include "CoinError.hpp"
+#include "CoinTypes.hpp"
+#ifndef CLP_NO_VECTOR
+#include "CoinPackedVectorBase.hpp"
+#include "CoinShallowPackedVector.hpp"
+#else
+class CoinRelFltEq;
+#endif
+
+/** Sparse Matrix Base Class
+
+ This class is intended to represent sparse matrices using row-major
+ or column-major ordering. The representation is very efficient for
+ adding, deleting, or retrieving major-dimension vectors. Adding
+ a minor-dimension vector is less efficient, but can be helped by
+ providing "extra" space as described in the next paragraph. Deleting
+ a minor-dimension vector requires inspecting all coefficients in the
+ matrix. Retrieving a minor-dimension vector would incur the same cost
+ and is not supported (except in the sense that you can write a loop to
+ retrieve all coefficients one at a time). Consider physically transposing
+ the matrix, or keeping a second copy with the other major-vector ordering.
+
+ The sparse represention can be completely compact or it can have "extra"
+ space available at the end of each major vector. Incorporating extra
+ space into the sparse matrix representation can improve performance in
+ cases where new data needs to be inserted into the packed matrix against
+ the major-vector orientation (e.g, inserting a row into a matrix stored
+ in column-major order).
+
+ For example if the matrix:
+ @verbatim
+ 3 1 0 -2 -1 0 0 -1
+ 0 2 1.1 0 0 0 0 0
+ 0 0 1 0 0 1 0 0
+ 0 0 0 2.8 0 0 -1.2 0
+ 5.6 0 0 0 1 0 0 1.9
+
+ was stored by rows (with no extra space) in
+ CoinPackedMatrix r then:
+ r.getElements() returns a vector containing:
+ 3 1 -2 -1 -1 2 1.1 1 1 2.8 -1.2 5.6 1 1.9
+ r.getIndices() returns a vector containing:
+ 0 1 3 4 7 1 2 2 5 3 6 0 4 7
+ r.getVectorStarts() returns a vector containing:
+ 0 5 7 9 11 14
+ r.getNumElements() returns 14.
+ r.getMajorDim() returns 5.
+ r.getVectorSize(0) returns 5.
+ r.getVectorSize(1) returns 2.
+ r.getVectorSize(2) returns 2.
+ r.getVectorSize(3) returns 2.
+ r.getVectorSize(4) returns 3.
+
+ If stored by columns (with no extra space) then:
+ c.getElements() returns a vector containing:
+ 3 5.6 1 2 1.1 1 -2 2.8 -1 1 1 -1.2 -1 1.9
+ c.getIndices() returns a vector containing:
+ 0 4 0 1 1 2 0 3 0 4 2 3 0 4
+ c.getVectorStarts() returns a vector containing:
+ 0 2 4 6 8 10 11 12 14
+ c.getNumElements() returns 14.
+ c.getMajorDim() returns 8.
+ @endverbatim
+
+ Compiling this class with CLP_NO_VECTOR defined will excise all methods
+ which use CoinPackedVectorBase, CoinPackedVector, or CoinShallowPackedVector
+ as parameters or return types.
+
+ Compiling this class with COIN_FAST_CODE defined removes index range checks.
+*/
+class CoinPackedMatrix {
+ friend void CoinPackedMatrixUnitTest();
+
+public:
+
+
+ //---------------------------------------------------------------------------
+ /**@name Query members */
+ //@{
+ /** Return the current setting of the extra gap. */
+ inline double getExtraGap() const { return extraGap_; }
+ /** Return the current setting of the extra major. */
+ inline double getExtraMajor() const { return extraMajor_; }
+
+ /** Reserve sufficient space for appending major-ordered vectors.
+ If create is true, empty columns are created (for column generation) */
+ void reserve(const int newMaxMajorDim, const CoinBigIndex newMaxSize,
+ bool create=false);
+ /** Clear the data, but do not free any arrays */
+ void clear();
+
+ /** Whether the packed matrix is column major ordered or not. */
+ inline bool isColOrdered() const { return colOrdered_; }
+
+ /** Whether the packed matrix has gaps or not. */
+ inline bool hasGaps() const { return (size_<start_[majorDim_]) ; }
+
+ /** Number of entries in the packed matrix. */
+ inline CoinBigIndex getNumElements() const { return size_; }
+
+ /** Number of columns. */
+ inline int getNumCols() const
+ { return colOrdered_ ? majorDim_ : minorDim_; }
+
+ /** Number of rows. */
+ inline int getNumRows() const
+ { return colOrdered_ ? minorDim_ : majorDim_; }
+
+ /*! \brief A vector containing the elements in the packed matrix.
+
+ Returns #elements_. Note that there might be gaps in this vector,
+ entries that do not belong to any major-dimension vector. To get
+ the actual elements one should look at this vector together with
+ vectorStarts (#start_) and vectorLengths (#length_).
+ */
+ inline const double * getElements() const { return element_; }
+
+ /*! \brief A vector containing the minor indices of the elements in
+ the packed matrix.
+
+ Returns #index_. Note that there might be gaps in this list,
+ entries that do not belong to any major-dimension vector. To get
+ the actual elements one should look at this vector together with
+ vectorStarts (#start_) and vectorLengths (#length_).
+ */
+ inline const int * getIndices() const { return index_; }
+
+ /*! \brief The size of the <code>vectorStarts</code> array
+
+ See #start_.
+ */
+ inline int getSizeVectorStarts() const
+ { return ((majorDim_ > 0)?(majorDim_+1):(0)) ; }
+
+ /*! \brief The size of the <code>vectorLengths</code> array
+
+ See #length_.
+ */
+ inline int getSizeVectorLengths() const { return majorDim_; }
+
+ /*! \brief The positions where the major-dimension vectors start in
+ elements and indices.
+
+ See #start_.
+ */
+ inline const CoinBigIndex * getVectorStarts() const { return start_; }
+
+ /*! \brief The lengths of the major-dimension vectors.
+
+ See #length_.
+ */
+ inline const int * getVectorLengths() const { return length_; }
+
+ /** The position of the first element in the i'th major-dimension vector.
+ */
+ CoinBigIndex getVectorFirst(const int i) const {
+#ifndef COIN_FAST_CODE
+ if (i < 0 || i >= majorDim_)
+ throw CoinError("bad index", "vectorFirst", "CoinPackedMatrix");
+#endif
+ return start_[i];
+ }
+ /** The position of the last element (well, one entry <em>past</em> the
+ last) in the i'th major-dimension vector. */
+ CoinBigIndex getVectorLast(const int i) const {
+#ifndef COIN_FAST_CODE
+ if (i < 0 || i >= majorDim_)
+ throw CoinError("bad index", "vectorLast", "CoinPackedMatrix");
+#endif
+ return start_[i] + length_[i];
+ }
+ /** The length of i'th vector. */
+ inline int getVectorSize(const int i) const {
+#ifndef COIN_FAST_CODE
+ if (i < 0 || i >= majorDim_)
+ throw CoinError("bad index", "vectorSize", "CoinPackedMatrix");
+#endif
+ return length_[i];
+ }
+#ifndef CLP_NO_VECTOR
+ /** Return the i'th vector in matrix. */
+ const CoinShallowPackedVector getVector(int i) const {
+#ifndef COIN_FAST_CODE
+ if (i < 0 || i >= majorDim_)
+ throw CoinError("bad index", "vector", "CoinPackedMatrix");
+#endif
+ return CoinShallowPackedVector(length_[i],
+ index_ + start_[i],
+ element_ + start_[i],
+ false);
+ }
+#endif
+ /** Returns an array containing major indices. The array is
+ getNumElements long and if getVectorStarts() is 0,2,5 then
+ the array would start 0,0,1,1,1,2...
+ This method is provided to go back from a packed format
+ to a triple format. It returns NULL if there are gaps in
+ matrix so user should use removeGaps() if there are any gaps.
+ It does this as this array has to match getElements() and
+ getIndices() and because it makes no sense otherwise.
+ The returned array is allocated with <code>new int[]</code>,
+ free it with <code>delete[]</code>. */
+ int * getMajorIndices() const;
+ //@}
+
+ //---------------------------------------------------------------------------
+ /**@name Modifying members */
+ //@{
+ /*! \brief Set the dimensions of the matrix.
+
+ The method name is deceptive; the effect is to append empty columns
+ and/or rows to the matrix to reach the specified dimensions.
+ A negative number for either dimension means that that dimension
+ doesn't change. An exception will be thrown if the specified dimensions
+ are smaller than the current dimensions.
+ */
+ void setDimensions(int numrows, int numcols);
+
+ /** Set the extra gap to be allocated to the specified value. */
+ void setExtraGap(const double newGap);
+ /** Set the extra major to be allocated to the specified value. */
+ void setExtraMajor(const double newMajor);
+#ifndef CLP_NO_VECTOR
+ /*! Append a column to the end of the matrix.
+
+ When compiled with COIN_DEBUG defined this method throws an exception
+ if the column vector specifies a nonexistent row index. Otherwise the
+ method assumes that every index fits into the matrix.
+ */
+ void appendCol(const CoinPackedVectorBase& vec);
+#endif
+ /*! Append a column to the end of the matrix.
+
+ When compiled with COIN_DEBUG defined this method throws an exception
+ if the column vector specifies a nonexistent row index. Otherwise the
+ method assumes that every index fits into the matrix.
+ */
+ void appendCol(const int vecsize,
+ const int *vecind, const double *vecelem);
+#ifndef CLP_NO_VECTOR
+ /*! Append a set of columns to the end of the matrix.
+
+ When compiled with COIN_DEBUG defined this method throws an exception
+ if any of the column vectors specify a nonexistent row index. Otherwise
+ the method assumes that every index fits into the matrix.
+ */
+ void appendCols(const int numcols,
+ const CoinPackedVectorBase * const * cols);
+#endif
+ /*! Append a set of columns to the end of the matrix.
+
+ Returns the number of errors (nonexistent or duplicate row index).
+ No error checking is performed if \p numberRows < 0.
+ */
+ int appendCols(const int numcols,
+ const CoinBigIndex * columnStarts, const int * row,
+ const double * element, int numberRows=-1);
+#ifndef CLP_NO_VECTOR
+ /*! Append a row to the end of the matrix.
+
+ When compiled with COIN_DEBUG defined this method throws an exception
+ if the row vector specifies a nonexistent column index. Otherwise the
+ method assumes that every index fits into the matrix.
+ */
+ void appendRow(const CoinPackedVectorBase& vec);
+#endif
+ /*! Append a row to the end of the matrix.
+
+ When compiled with COIN_DEBUG defined this method throws an exception
+ if the row vector specifies a nonexistent column index. Otherwise the
+ method assumes that every index fits into the matrix.
+ */
+ void appendRow(const int vecsize,
+ const int *vecind, const double *vecelem);
+#ifndef CLP_NO_VECTOR
+ /*! Append a set of rows to the end of the matrix.
+
+ When compiled with COIN_DEBUG defined this method throws an exception
+ if any of the row vectors specify a nonexistent column index. Otherwise
+ the method assumes that every index fits into the matrix.
+ */
+ void appendRows(const int numrows,
+ const CoinPackedVectorBase * const * rows);
+#endif
+ /*! Append a set of rows to the end of the matrix.
+
+ Returns the number of errors (nonexistent or duplicate column index).
+ No error checking is performed if \p numberColumns < 0.
+ */
+ int appendRows(const int numrows,
+ const CoinBigIndex * rowStarts, const int * column,
+ const double * element, int numberColumns=-1);
+
+ /** Append the argument to the "right" of the current matrix. Imagine this
+ as adding new columns (don't worry about how the matrices are ordered,
+ that is taken care of). An exception is thrown if the number of rows
+ is different in the matrices. */
+ void rightAppendPackedMatrix(const CoinPackedMatrix& matrix);
+ /** Append the argument to the "bottom" of the current matrix. Imagine this
+ as adding new rows (don't worry about how the matrices are ordered,
+ that is taken care of). An exception is thrown if the number of columns
+ is different in the matrices. */
+ void bottomAppendPackedMatrix(const CoinPackedMatrix& matrix);
+
+ /** Delete the columns whose indices are listed in <code>indDel</code>. */
+ void deleteCols(const int numDel, const int * indDel);
+ /** Delete the rows whose indices are listed in <code>indDel</code>. */
+ void deleteRows(const int numDel, const int * indDel);
+
+ /** Replace the elements of a vector. The indices remain the same.
+ At most the number specified will be replaced.
+ The index is between 0 and major dimension of matrix */
+ void replaceVector(const int index,
+ const int numReplace, const double * newElements);
+ /** Modify one element of packed matrix. An element may be added.
+ This works for either ordering
+ If the new element is zero it will be deleted unless
+ keepZero true */
+ void modifyCoefficient(int row, int column, double newElement,
+ bool keepZero=false);
+ /** Return one element of packed matrix.
+ This works for either ordering
+ If it is not present will return 0.0 */
+ double getCoefficient(int row, int column) const;
+
+ /** Eliminate all elements in matrix whose
+ absolute value is less than threshold.
+ The column starts are not affected. Returns number of elements
+ eliminated. Elements eliminated are at end of each vector
+ */
+ int compress(double threshold);
+ /** Eliminate all duplicate AND small elements in matrix
+ The column starts are not affected. Returns number of elements
+ eliminated.
+ */
+ int eliminateDuplicates(double threshold);
+ /** Sort all columns so indices are increasing.in each column */
+ void orderMatrix();
+ /** Really clean up matrix.
+ a) eliminate all duplicate AND small elements in matrix
+ b) remove all gaps and set extraGap_ and extraMajor_ to 0.0
+ c) reallocate arrays and make max lengths equal to lengths
+ d) orders elements
+ returns number of elements eliminated
+ */
+ int cleanMatrix(double threshold=1.0e-20);
+ //@}
+
+ //---------------------------------------------------------------------------
+ /**@name Methods that reorganize the whole matrix */
+ //@{
+ /** Remove the gaps from the matrix if there were any
+ Can also remove small elements fabs() <= removeValue*/
+ void removeGaps(double removeValue=-1.0);
+
+ /** Extract a submatrix from matrix. Those major-dimension vectors of
+ the matrix comprise the submatrix whose indices are given in the
+ arguments. Does not allow duplicates. */
+ void submatrixOf(const CoinPackedMatrix& matrix,
+ const int numMajor, const int * indMajor);
+ /** Extract a submatrix from matrix. Those major-dimension vectors of
+ the matrix comprise the submatrix whose indices are given in the
+ arguments. Allows duplicates and keeps order. */
+ void submatrixOfWithDuplicates(const CoinPackedMatrix& matrix,
+ const int numMajor, const int * indMajor);
+#if 0
+ /** Extract a submatrix from matrix. Those major/minor-dimension vectors of
+ the matrix comprise the submatrix whose indices are given in the
+ arguments. */
+ void submatrixOf(const CoinPackedMatrix& matrix,
+ const int numMajor, const int * indMajor,
+ const int numMinor, const int * indMinor);
+#endif
+
+ /** Copy method. This method makes an exact replica of the argument,
+ including the extra space parameters. */
+ void copyOf(const CoinPackedMatrix& rhs);
+ /** Copy the arguments to the matrix. If <code>len</code> is a NULL pointer
+ then the matrix is assumed to have no gaps in it and <code>len</code>
+ will be created accordingly. */
+ void copyOf(const bool colordered,
+ const int minor, const int major, const CoinBigIndex numels,
+ const double * elem, const int * ind,
+ const CoinBigIndex * start, const int * len,
+ const double extraMajor=0.0, const double extraGap=0.0);
+ /** Copy method. This method makes an exact replica of the argument,
+ including the extra space parameters.
+ If there is room it will re-use arrays */
+ void copyReuseArrays(const CoinPackedMatrix& rhs);
+
+ /*! \brief Make a reverse-ordered copy.
+
+ This method makes an exact replica of the argument with the major
+ vector orientation changed from row (column) to column (row).
+ The extra space parameters are also copied and reversed.
+ (Cf. #reverseOrdering, which does the same thing in place.)
+ */
+ void reverseOrderedCopyOf(const CoinPackedMatrix& rhs);
+
+ /** Assign the arguments to the matrix. If <code>len</code> is a NULL
+ pointer then the matrix is assumed to have no gaps in it and
+ <code>len</code> will be created accordingly. <br>
+ <strong>NOTE 1</strong>: After this method returns the pointers
+ passed to the method will be NULL pointers! <br>
+ <strong>NOTE 2</strong>: When the matrix is eventually destructed the
+ arrays will be deleted by <code>delete[]</code>. Hence one should use
+ this method ONLY if all array swere allocated by <code>new[]</code>! */
+ void assignMatrix(const bool colordered,
+ const int minor, const int major,
+ const CoinBigIndex numels,
+ double *& elem, int *& ind,
+ CoinBigIndex *& start, int *& len,
+ const int maxmajor = -1, const CoinBigIndex maxsize = -1);
+
+
+
+ /** Assignment operator. This copies out the data, but uses the current
+ matrix's extra space parameters. */
+ CoinPackedMatrix & operator=(const CoinPackedMatrix& rhs);
+
+ /*! \brief Reverse the ordering of the packed matrix.
+
+ Change the major vector orientation of the matrix data structures from
+ row (column) to column (row). (Cf. #reverseOrderedCopyOf, which does
+ the same thing but produces a new matrix.)
+ */
+ void reverseOrdering();
+
+ /*! \brief Transpose the matrix.
+
+ \note
+ If you start with a column-ordered matrix and invoke transpose, you
+ will have a row-ordered transposed matrix. To change the major vector
+ orientation (e.g., to transform a column-ordered matrix to a
+ column-ordered transposed matrix), invoke transpose() followed by
+ #reverseOrdering().
+ */
+ void transpose();
+
+ /*! \brief Swap the content of two packed matrices. */
+ void swap(CoinPackedMatrix& matrix);
+
+ //@}
+
+ //---------------------------------------------------------------------------
+ /**@name Matrix times vector methods */
+ //@{
+ /** Return <code>A * x</code> in <code>y</code>.
+ @pre <code>x</code> must be of size <code>numColumns()</code>
+ @pre <code>y</code> must be of size <code>numRows()</code> */
+ void times(const double * x, double * y) const;
+#ifndef CLP_NO_VECTOR
+ /** Return <code>A * x</code> in <code>y</code>. Same as the previous
+ method, just <code>x</code> is given in the form of a packed vector. */
+ void times(const CoinPackedVectorBase& x, double * y) const;
+#endif
+ /** Return <code>x * A</code> in <code>y</code>.
+ @pre <code>x</code> must be of size <code>numRows()</code>
+ @pre <code>y</code> must be of size <code>numColumns()</code> */
+ void transposeTimes(const double * x, double * y) const;
+#ifndef CLP_NO_VECTOR
+ /** Return <code>x * A</code> in <code>y</code>. Same as the previous
+ method, just <code>x</code> is given in the form of a packed vector. */
+ void transposeTimes(const CoinPackedVectorBase& x, double * y) const;
+#endif
+ //@}
+
+ //---------------------------------------------------------------------------
+ /**@name Helper functions used internally, but maybe useful externally.
+
+ These methods do not worry about testing whether the packed matrix is
+ row or column major ordered; they operate under the assumption that the
+ correct version is invoked. In fact, a number of other methods simply
+ just call one of these after testing the ordering of the matrix. */
+ //@{
+
+ //-------------------------------------------------------------------------
+ /**@name Queries */
+ //@{
+ /** Count the number of entries in every minor-dimension vector and
+ return an array containing these lengths. The returned array is
+ allocated with <code>new int[]</code>, free it with
+ <code>delete[]</code>. */
+ int * countOrthoLength() const;
+ /** Count the number of entries in every minor-dimension vector and
+ fill in an array containing these lengths. */
+ void countOrthoLength(int * counts) const;
+ /** Major dimension. For row ordered matrix this would be the number of
+ rows. */
+ inline int getMajorDim() const { return majorDim_; }
+ /** Set major dimension. For row ordered matrix this would be the number of
+ rows. Use with great care.*/
+ inline void setMajorDim(int value) { majorDim_ = value; }
+ /** Minor dimension. For row ordered matrix this would be the number of
+ columns. */
+ inline int getMinorDim() const { return minorDim_; }
+ /** Set minor dimension. For row ordered matrix this would be the number of
+ columns. Use with great care.*/
+ inline void setMinorDim(int value) { minorDim_ = value; }
+ /** Current maximum for major dimension. For row ordered matrix this many
+ rows can be added without reallocating the vector related to the
+ major dimension (<code>start_</code> and <code>length_</code>). */
+ inline int getMaxMajorDim() const { return maxMajorDim_; }
+
+ /** Dump the matrix on stdout. When in dire straits this method can
+ help. */
+ void dumpMatrix(const char* fname = NULL) const;
+
+ /// Print a single matrix element.
+ void printMatrixElement(const int row_val, const int col_val) const;
+ //@}
+
+ //-------------------------------------------------------------------------
+ /*! @name Append vectors
+
+ \details
+ When compiled with COIN_DEBUG defined these methods throw an exception
+ if the major (minor) vector contains an index that's invalid for the
+ minor (major) dimension. Otherwise the methods assume that every index
+ fits into the matrix.
+ */
+ //@{
+#ifndef CLP_NO_VECTOR
+ /** Append a major-dimension vector to the end of the matrix. */
+ void appendMajorVector(const CoinPackedVectorBase& vec);
+#endif
+ /** Append a major-dimension vector to the end of the matrix. */
+ void appendMajorVector(const int vecsize, const int *vecind,
+ const double *vecelem);
+#ifndef CLP_NO_VECTOR
+ /** Append several major-dimensonvectors to the end of the matrix */
+ void appendMajorVectors(const int numvecs,
+ const CoinPackedVectorBase * const * vecs);
+
+ /** Append a minor-dimension vector to the end of the matrix. */
+ void appendMinorVector(const CoinPackedVectorBase& vec);
+#endif
+ /** Append a minor-dimension vector to the end of the matrix. */
+ void appendMinorVector(const int vecsize, const int *vecind,
+ const double *vecelem);
+#ifndef CLP_NO_VECTOR
+ /** Append several minor-dimension vectors to the end of the matrix */
+ void appendMinorVectors(const int numvecs,
+ const CoinPackedVectorBase * const * vecs);
+#endif
+ /*! \brief Append a set of rows (columns) to the end of a column (row)
+ ordered matrix.
+
+ This case is when we know there are no gaps and majorDim_ will not
+ change.
+
+ \todo
+ This method really belongs in the group of protected methods with
+ #appendMinor; there are no safeties here even with COIN_DEBUG.
+ Apparently this method was needed in ClpPackedMatrix and giving it
+ proper visibility was too much trouble. Should be moved.
+ */
+ void appendMinorFast(const int number,
+ const CoinBigIndex * starts, const int * index,
+ const double * element);
+ //@}
+
+ //-------------------------------------------------------------------------
+ /*! \name Append matrices
+
+ \details
+ We'll document these methods assuming that the current matrix is
+ column major ordered (Hence in the <code>...SameOrdered()</code>
+ methods the argument is column ordered, in the
+ <code>OrthoOrdered()</code> methods the argument is row ordered.)
+ */
+ //@{
+ /** Append the columns of the argument to the right end of this matrix.
+ @pre <code>minorDim_ == matrix.minorDim_</code> <br>
+ This method throws an exception if the minor dimensions are not the
+ same. */
+ void majorAppendSameOrdered(const CoinPackedMatrix& matrix);
+ /** Append the columns of the argument to the bottom end of this matrix.
+ @pre <code>majorDim_ == matrix.majorDim_</code> <br>
+ This method throws an exception if the major dimensions are not the
+ same. */
+ void minorAppendSameOrdered(const CoinPackedMatrix& matrix);
+ /** Append the rows of the argument to the right end of this matrix.
+ @pre <code>minorDim_ == matrix.majorDim_</code> <br>
+ This method throws an exception if the minor dimension of the
+ current matrix is not the same as the major dimension of the
+ argument matrix. */
+ void majorAppendOrthoOrdered(const CoinPackedMatrix& matrix);
+ /** Append the rows of the argument to the bottom end of this matrix.
+ @pre <code>majorDim_ == matrix.minorDim_</code> <br>
+ This method throws an exception if the major dimension of the
+ current matrix is not the same as the minor dimension of the
+ argument matrix. */
+ void minorAppendOrthoOrdered(const CoinPackedMatrix& matrix);
+ //@}
+
+ //-----------------------------------------------------------------------
+ /**@name Delete vectors */
+ //@{
+ /** Delete the major-dimension vectors whose indices are listed in
+ <code>indDel</code>. */
+ void deleteMajorVectors(const int numDel, const int * indDel);
+ /** Delete the minor-dimension vectors whose indices are listed in
+ <code>indDel</code>. */
+ void deleteMinorVectors(const int numDel, const int * indDel);
+ //@}
+
+ //-----------------------------------------------------------------------
+ /**@name Various dot products. */
+ //@{
+ /** Return <code>A * x</code> (multiplied from the "right" direction) in
+ <code>y</code>.
+ @pre <code>x</code> must be of size <code>majorDim()</code>
+ @pre <code>y</code> must be of size <code>minorDim()</code> */
+ void timesMajor(const double * x, double * y) const;
+#ifndef CLP_NO_VECTOR
+ /** Return <code>A * x</code> (multiplied from the "right" direction) in
+ <code>y</code>. Same as the previous method, just <code>x</code> is
+ given in the form of a packed vector. */
+ void timesMajor(const CoinPackedVectorBase& x, double * y) const;
+#endif
+ /** Return <code>A * x</code> (multiplied from the "right" direction) in
+ <code>y</code>.
+ @pre <code>x</code> must be of size <code>minorDim()</code>
+ @pre <code>y</code> must be of size <code>majorDim()</code> */
+ void timesMinor(const double * x, double * y) const;
+#ifndef CLP_NO_VECTOR
+ /** Return <code>A * x</code> (multiplied from the "right" direction) in
+ <code>y</code>. Same as the previous method, just <code>x</code> is
+ given in the form of a packed vector. */
+ void timesMinor(const CoinPackedVectorBase& x, double * y) const;
+#endif
+ //@}
+ //@}
+
+ //--------------------------------------------------------------------------
+ /**@name Logical Operations. */
+ //@{
+#ifndef CLP_NO_VECTOR
+ /*! \brief Test for equivalence.
+
+ Two matrices are equivalent if they are both row- or column-ordered,
+ they have the same dimensions, and each (major) vector is equivalent.
+ The operator used to test for equality can be specified using the
+ \p FloatEqual template parameter.
+ */
+ template <class FloatEqual> bool
+ isEquivalent(const CoinPackedMatrix& rhs, const FloatEqual& eq) const
+ {
+ // Both must be column order or both row ordered and must be of same size
+ if ((isColOrdered() ^ rhs.isColOrdered()) ||
+ (getNumCols() != rhs.getNumCols()) ||
+ (getNumRows() != rhs.getNumRows()) ||
+ (getNumElements() != rhs.getNumElements()))
+ return false;
+
+ for (int i=getMajorDim()-1; i >= 0; --i) {
+ CoinShallowPackedVector pv = getVector(i);
+ CoinShallowPackedVector rhsPv = rhs.getVector(i);
+ if ( !pv.isEquivalent(rhsPv,eq) )
+ return false;
+ }
+ return true;
+ }
+
+ /*! \brief Test for equivalence and report differences
+
+ Equivalence is defined as for #isEquivalent. In addition, this method will
+ print differences to std::cerr. Intended for use in unit tests and
+ for debugging.
+ */
+ bool isEquivalent2(const CoinPackedMatrix& rhs) const;
+#else
+ /*! \brief Test for equivalence.
+
+ Two matrices are equivalent if they are both row- or column-ordered,
+ they have the same dimensions, and each (major) vector is equivalent.
+ This method is optimised for speed. CoinPackedVector#isEquivalent is
+ replaced with more efficient code for repeated comparison of
+ equal-length vectors. The CoinRelFltEq operator is used.
+ */
+ bool isEquivalent(const CoinPackedMatrix& rhs, const CoinRelFltEq & eq) const;
+#endif
+ /*! \brief Test for equivalence.
+
+ The test for element equality is the default CoinRelFltEq operator.
+ */
+ bool isEquivalent(const CoinPackedMatrix& rhs) const;
+ //@}
+
+ //--------------------------------------------------------------------------
+ /*! \name Non-const methods
+
+ These are to be used with great care when doing column generation, etc.
+ */
+ //@{
+ /** A vector containing the elements in the packed matrix. Note that there
+ might be gaps in this list, entries that do not belong to any
+ major-dimension vector. To get the actual elements one should look at
+ this vector together with #start_ and #length_. */
+ inline double * getMutableElements() const { return element_; }
+ /** A vector containing the minor indices of the elements in the packed
+ matrix. Note that there might be gaps in this list, entries that do not
+ belong to any major-dimension vector. To get the actual elements one
+ should look at this vector together with #start_ and
+ #length_. */
+ inline int * getMutableIndices() const { return index_; }
+
+ /** The positions where the major-dimension vectors start in #element_ and
+ #index_. */
+ inline CoinBigIndex * getMutableVectorStarts() const { return start_; }
+ /** The lengths of the major-dimension vectors. */
+ inline int * getMutableVectorLengths() const { return length_; }
+ /// Change the size of the bulk store after modifying - be careful
+ inline void setNumElements(CoinBigIndex value)
+ { size_ = value;}
+ /*! NULLify element array
+
+ Used when space is very tight. Does not free the space!
+ */
+ inline void nullElementArray() {element_=NULL;}
+
+ /*! NULLify start array
+
+ Used when space is very tight. Does not free the space!
+ */
+ inline void nullStartArray() {start_=NULL;}
+
+ /*! NULLify length array
+
+ Used when space is very tight. Does not free the space!
+ */
+ inline void nullLengthArray() {length_=NULL;}
+
+ /*! NULLify index array
+
+ Used when space is very tight. Does not free the space!
+ */
+ inline void nullIndexArray() {index_=NULL;}
+ //@}
+
+ //--------------------------------------------------------------------------
+ /*! \name Constructors and destructors */
+ //@{
+ /// Default Constructor creates an empty column ordered packed matrix
+ CoinPackedMatrix();
+
+ /// A constructor where the ordering and the gaps are specified
+ CoinPackedMatrix(const bool colordered,
+ const double extraMajor, const double extraGap);
+
+ CoinPackedMatrix(const bool colordered,
+ const int minor, const int major, const CoinBigIndex numels,
+ const double * elem, const int * ind,
+ const CoinBigIndex * start, const int * len,
+ const double extraMajor, const double extraGap);
+
+ CoinPackedMatrix(const bool colordered,
+ const int minor, const int major, const CoinBigIndex numels,
+ const double * elem, const int * ind,
+ const CoinBigIndex * start, const int * len);
+
+ /** Create packed matrix from triples.
+ If colordered is true then the created matrix will be column ordered.
+ Duplicate matrix elements are allowed. The created matrix will have
+ the sum of the duplicates. <br>
+ For example if: <br>
+ rowIndices[0]=2; colIndices[0]=5; elements[0]=2.0 <br>
+ rowIndices[1]=2; colIndices[1]=5; elements[1]=0.5 <br>
+ then the created matrix will contain a value of 2.5 in row 2 and column 5.<br>
+ The matrix is created without gaps.
+ */
+ CoinPackedMatrix(const bool colordered,
+ const int * rowIndices,
+ const int * colIndices,
+ const double * elements,
+ CoinBigIndex numels );
+
+ /// Copy constructor
+ CoinPackedMatrix(const CoinPackedMatrix& m);
+
+ /*! \brief Copy constructor with fine tuning
+
+ This constructor allows for the specification of an exact amount of extra
+ space and/or reverse ordering.
+
+ \p extraForMajor is the exact number of spare major vector slots after
+ any possible reverse ordering. If \p extraForMajor < 0, all gaps and small
+ elements will be removed from the copy, otherwise gaps and small elements
+ are preserved.
+
+ \p extraElements is the exact number of spare element entries.
+
+ The usual multipliers, #extraMajor_ and #extraGap_, are set to zero.
+ */
+ CoinPackedMatrix(const CoinPackedMatrix &m,
+ int extraForMajor, int extraElements,
+ bool reverseOrdering = false) ;
+
+ /** Subset constructor (without gaps). Duplicates are allowed
+ and order is as given */
+ CoinPackedMatrix (const CoinPackedMatrix & wholeModel,
+ int numberRows, const int * whichRows,
+ int numberColumns, const int * whichColumns);
+
+ /// Destructor
+ virtual ~CoinPackedMatrix();
+ //@}
+
+ /*! \name Debug Utilities */
+ //@{
+ /*! \brief Scan the matrix for anomalies.
+
+ Returns the number of anomalies. Scans the structure for gaps,
+ obviously bogus indices and coefficients, and inconsistencies. Gaps
+ are not an error unless #hasGaps() says the matrix should be
+ gap-free. Zeroes are not an error unless \p zeroesAreError is set to
+ true.
+
+ Values for verbosity are:
+ - 0: No messages, just the return value
+ - 1: Messages about errors
+ - 2: If there are no errors, a message indicating the matrix was
+ checked is printed (positive confirmation).
+ - 3: Adds a bit more information about the matrix.
+ - 4: Prints warnings about zeroes even if they're not considered
+ errors.
+
+ Obviously bogus coefficients are coefficients that are NaN or have
+ absolute value greater than 1e50. Zeros have absolute value less
+ than 1e-50.
+ */
+ int verifyMtx(int verbosity = 1, bool zeroesAreError = false) const ;
+ //@}
+
+ //--------------------------------------------------------------------------
+protected:
+ void gutsOfDestructor();
+ void gutsOfCopyOf(const bool colordered,
+ const int minor, const int major, const CoinBigIndex numels,
+ const double * elem, const int * ind,
+ const CoinBigIndex * start, const int * len,
+ const double extraMajor=0.0, const double extraGap=0.0);
+ /// When no gaps we can do faster
+ void gutsOfCopyOfNoGaps(const bool colordered,
+ const int minor, const int major,
+ const double * elem, const int * ind,
+ const CoinBigIndex * start);
+ void gutsOfOpEqual(const bool colordered,
+ const int minor, const int major, const CoinBigIndex numels,
+ const double * elem, const int * ind,
+ const CoinBigIndex * start, const int * len);
+ void resizeForAddingMajorVectors(const int numVec, const int * lengthVec);
+ void resizeForAddingMinorVectors(const int * addedEntries);
+
+ /*! \brief Append a set of rows (columns) to the end of a row (colum)
+ ordered matrix.
+
+ If \p numberOther > 0 the method will check if any of the new rows
+ (columns) contain duplicate indices or invalid indices and return the
+ number of errors. A valid minor index must satisfy
+ \code 0 <= k < numberOther \endcode
+ If \p numberOther < 0 no checking is performed.
+ */
+ int appendMajor(const int number,
+ const CoinBigIndex * starts, const int * index,
+ const double * element, int numberOther=-1);
+ /*! \brief Append a set of rows (columns) to the end of a column (row)
+ ordered matrix.
+
+ If \p numberOther > 0 the method will check if any of the new rows
+ (columns) contain duplicate indices or indices outside the current
+ range for the major dimension and return the number of violations.
+ If \p numberOther <= 0 the major dimension will be expanded as
+ necessary and there are no checks for duplicate indices.
+ */
+ int appendMinor(const int number,
+ const CoinBigIndex * starts, const int * index,
+ const double * element, int numberOther=-1);
+
+private:
+ inline CoinBigIndex getLastStart() const {
+ return majorDim_ == 0 ? 0 : start_[majorDim_];
+ }
+
+ //--------------------------------------------------------------------------
+protected:
+ /**@name Data members
+ The data members are protected to allow access for derived classes. */
+ //@{
+ /** A flag indicating whether the matrix is column or row major ordered. */
+ bool colOrdered_;
+ /** This much times more space should be allocated for each major-dimension
+ vector (with respect to the number of entries in the vector) when the
+ matrix is resized. The purpose of these gaps is to allow fast insertion
+ of new minor-dimension vectors. */
+ double extraGap_;
+ /** his much times more space should be allocated for major-dimension
+ vectors when the matrix is resized. The purpose of these gaps is to
+ allow fast addition of new major-dimension vectors. */
+ double extraMajor_;
+
+ /** List of nonzero element values. The entries in the gaps between
+ major-dimension vectors are undefined. */
+ double *element_;
+ /** List of nonzero element minor-dimension indices. The entries in the gaps
+ between major-dimension vectors are undefined. */
+ int *index_;
+ /** Starting positions of major-dimension vectors. */
+ CoinBigIndex *start_;
+ /** Lengths of major-dimension vectors. */
+ int *length_;
+
+ /// number of vectors in matrix
+ int majorDim_;
+ /// size of other dimension
+ int minorDim_;
+ /// the number of nonzero entries
+ CoinBigIndex size_;
+
+ /// max space allocated for major-dimension
+ int maxMajorDim_;
+ /// max space allocated for entries
+ CoinBigIndex maxSize_;
+ //@}
+};
+
+//#############################################################################
+/*! \brief Test the methods in the CoinPackedMatrix class.
+
+ The only reason for it not to be a member method is that this way
+ it doesn't have to be compiled into the library. And that's a gain,
+ because the library should be compiled with optimization on, but this
+ method should be compiled with debugging.
+*/
+void
+CoinPackedMatrixUnitTest();
+
+#endif