X-Git-Url: https://git.sthu.org/?a=blobdiff_plain;f=include%2Flibstick-0.1%2Fbooleanmatrix.h;h=1fb4dd28f6d98e02d70cabb6372e62ddf6d9180a;hb=46e2e26363bfa07dc79d912ebe6df772942536bd;hp=ab368d2309bb5461970f6ad20ab2de62cccb6d3b;hpb=267194caeb2fe56530b11c440fefd01c344e5482;p=libstick.git diff --git a/include/libstick-0.1/booleanmatrix.h b/include/libstick-0.1/booleanmatrix.h index ab368d2..1fb4dd2 100644 --- a/include/libstick-0.1/booleanmatrix.h +++ b/include/libstick-0.1/booleanmatrix.h @@ -15,21 +15,23 @@ namespace libstick { -/** The base class of BooleanColMatrix and BooleanColRowMatrix which implements +/** The base class of boolean_colmatrix and boolean_colrowmatrix which implements * the common logic of both. */ template -class BooleanColMatrix_base { +class boolean_colmatrix_base { public: typedef IT index_type; typedef std::vector column_type; typedef D derived; + protected: /** Create a matrix with 'width' columns, initalized with zero entries. */ - BooleanColMatrix_base(size_t width) : + boolean_colmatrix_base(size_t width) : cols(width) { } + public: /** Get height resp. width of the matrix. */ size_t width() const { return cols.size(); @@ -38,17 +40,23 @@ class BooleanColMatrix_base { /** Get the matrix entry at row 'r' and column 'c'. */ bool get(index_type r, index_type c) const { assert(c < width()); - const column_type &col = getColumn(c); + const column_type &col = get_column(c); return binary_search(col.begin(), col.end(), r); } /** Set the matrix entry at row 'r' and column 'c'. */ void set(index_type r, index_type c, bool value) { - getDerived()->_set(r, c, value); + get_derived()->_set(r, c, value); + } + + /** For each of the 'count'-many (row-index, column-pair) pair in 'indices', set the specific value. */ + void set_all(index_type indices[][2], size_t count, bool value) { + for (unsigned i=0; i < count; ++i) + set(indices[i][0], indices[i][1], value); } /** Get the c-th column. */ - const column_type& getColumn(index_type c) const { + const column_type& get_column(index_type c) const { assert(c < width()); return cols[c]; } @@ -64,18 +72,34 @@ class BooleanColMatrix_base { } /** Two matrices are equal iff they have the same entries */ - bool operator==(const BooleanColMatrix_base &m) const { + bool operator==(const boolean_colmatrix_base &m) const { return cols == m.cols; } /** Two matrices are equal iff they have the same entries */ - bool operator!=(const BooleanColMatrix_base &m) const { + bool operator!=(const boolean_colmatrix_base &m) const { return !(*this == m); } - protected: - + /** Print index pairs of the 1s as { {r, c}, {r, c}, {r, c} } */ + void print_indexpairs(std::ostream &os) const { + bool first=true; + + os << "{"; + for (unsigned c=0; c < width(); ++c) { + const column_type &col = get_column(c); + for (typename column_type::const_iterator it = col.begin(); it != col.end(); ++it) { + if (first) + first = false; + else + os << ","; + os << " {" << *it << ", " << c << "}"; + } + } + os << " }"; + } + protected: /** Set the matrix entry at row 'r' and column 'c'. */ void _set(index_type r, index_type c, bool value) { assert(c < width()); @@ -101,6 +125,7 @@ class BooleanColMatrix_base { } #ifndef NDEBUG + // C++11 would have is_sorted for (unsigned i=1; i < col.size(); i++) assert(col[i-1] < col[i]); #endif @@ -111,7 +136,7 @@ class BooleanColMatrix_base { std::vector cols; /** A cast to the derived type */ - derived* getDerived() { + derived* get_derived() { return static_cast(this); } }; @@ -121,14 +146,14 @@ class BooleanColMatrix_base { * column-vector we save the row-indices of the 1s. It is designed to handle a * few 1s and column-wise operations well. */ template -class BooleanColMatrix : public BooleanColMatrix_base > { +class boolean_colmatrix : public boolean_colmatrix_base > { public: typedef IT index_type; - typedef BooleanColMatrix_base > base; + typedef boolean_colmatrix_base > base; /** Create a matrix with 'width' columns, initalized with zero entries. */ - BooleanColMatrix(size_t columns) : + boolean_colmatrix(size_t columns) : base(columns) { } @@ -139,22 +164,24 @@ class BooleanColMatrix : public BooleanColMatrix_base > }; -/** The base class of BooleanRowMatrix and BooleanColRowMatrix which implements +/** The base class of boolean_rowmatrix and boolean_colrowmatrix which implements * the common logic of both. */ template -class BooleanRowMatrix_base { +class boolean_rowmatrix_base { public: typedef IT index_type; typedef std::vector row_type; typedef D derived; + protected: /** Create a matrix with 'height' rows, initalized with zero entries. * */ - BooleanRowMatrix_base(size_t height) : + boolean_rowmatrix_base(size_t height) : rows(height) { } + public: /** Get height resp. width of the matrix. */ size_t height() const { return rows.size(); @@ -163,17 +190,23 @@ class BooleanRowMatrix_base { /** Get the matrix entry at row 'r' and column 'c'. */ bool get(index_type r, index_type c) const { assert(r < height()); - const row_type &row = getRow(r); + const row_type &row = get_row(r); return binary_search(row.begin(), row.end(), c); } /** Set the matrix entry at row 'r' and column 'c'. */ void set(index_type r, index_type c, bool value) { - getDerived()->_set(r, c, value); + get_derived()->_set(r, c, value); + } + + /** For each of the 'count'-many (row-index, column-pair) pair in 'indices', set the specific value. */ + void set_all(index_type indices[][2], size_t count, bool value) { + for (unsigned i=0; i < count; ++i) + set(indices[i][0], indices[i][1], value); } /** Get the r-th row. */ - const row_type& getRow(index_type r) const { + const row_type& get_row(index_type r) const { assert(r < height()); return rows[r]; } @@ -189,12 +222,12 @@ class BooleanRowMatrix_base { } /** Two matrices are equal iff they have the same entries */ - bool operator==(const BooleanRowMatrix_base &m) const { + bool operator==(const boolean_rowmatrix_base &m) const { return rows == m.rows; } /** Two matrices are equal iff they have the same entries */ - bool operator!=(const BooleanRowMatrix_base &m) const { + bool operator!=(const boolean_rowmatrix_base &m) const { return !(*this == m); } @@ -224,13 +257,14 @@ class BooleanRowMatrix_base { } #ifndef NDEBUG + // C++11 would have is_sorted for (unsigned i=1; i < row.size(); i++) assert(row[i-1] < row[i]); #endif } private: - derived* getDerived() { + derived* get_derived() { return static_cast(this); } @@ -243,14 +277,14 @@ class BooleanRowMatrix_base { * row-vector we save the column-indices of the 1s. It is designed to handle a * few 1s and row-wise operations well. */ template -class BooleanRowMatrix : public BooleanRowMatrix_base > { +class boolean_rowmatrix : public boolean_rowmatrix_base > { public: typedef IT index_type; - typedef BooleanRowMatrix_base > base; + typedef boolean_rowmatrix_base > base; /** Create a matrix with 'height' rows, initalized with zero entries. */ - BooleanRowMatrix(size_t height) : + boolean_rowmatrix(size_t height) : base(height) { } @@ -264,18 +298,18 @@ class BooleanRowMatrix : public BooleanRowMatrix_base > /** This is a boolean matrix that supports. It is designed to handle a * few 1s and row- and column-wise operations well. */ template -class BooleanColRowMatrix : public BooleanColMatrix_base >, - public BooleanRowMatrix_base > { +class boolean_colrowmatrix : public boolean_colmatrix_base >, + public boolean_rowmatrix_base > { public: - typedef BooleanColMatrix_base > colbase; - typedef BooleanRowMatrix_base > rowbase; + typedef boolean_colmatrix_base > colbase; + typedef boolean_rowmatrix_base > rowbase; public: typedef IT index_type; /** Create a size x size matrix, initialized with zeros. */ - BooleanColRowMatrix(size_t size) : + boolean_colrowmatrix(size_t size) : colbase(size), rowbase(size) { } @@ -301,6 +335,11 @@ class BooleanColRowMatrix : public BooleanColMatrix_base &m) const { + bool operator==(const boolean_colrowmatrix &m) const { assert(rowbase::operator==(m) == colbase::operator==(m)); return colbase::operator==(m); } /** Two matrices are equal iff they have the same entries */ - bool operator!=(const BooleanColRowMatrix &m) const { + bool operator!=(const boolean_colrowmatrix &m) const { return !(*this == m); } + + /** Multiply with matrix b from the right */ + template + boolean_colrowmatrix operator*(const boolean_colmatrix_base &b) const { + boolean_colrowmatrix c(size()); + multiply_matrix(c, *this, b); + return c; + } }; + +/** Counts the number of common elements in two sorted vectors. Equal to + * counting the number of elements given by std::set_intersection. */ +template +size_t count_set_intersection (InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, InputIterator2 last2) +{ + size_t count = 0; + + // As long as we did not either end, look for common elements + while (first1!=last1 && first2!=last2) + { + if (*first1 < *first2) + ++first1; + else if (*first2 < *first1) + ++first2; + // Element is common to both + else { + ++count; + ++first1; + ++first2; + } + } + return count; +} + +/** Multiply a*b and save the product in 'result'. It is assumed that 'result' is intially empty and has appropriate size. */ +template +void multiply_matrix(RT &result, const boolean_rowmatrix_base &a, const boolean_colmatrix_base &b) { + assert(a.height() == b.width()); + + for (unsigned r=0; r < a.height(); ++r) { + const typename boolean_rowmatrix_base::row_type &row = a.get_row(r); + for (unsigned c=0; c < b.width(); ++c) { + const typename boolean_colmatrix_base::column_type &col = b.get_column(c); + if (count_set_intersection(row.begin(), row.end(), col.begin(), col.end()) % 2 == 1) + result.set(r, c, true); + } + } +} + +template +MT create_unit_matrix(size_t size) { + MT mat(size); + for (unsigned i=0; i < size; ++i) + mat.set(i, i, true); + return mat; +} + template -std::ostream& operator<<(std::ostream &os, const BooleanColRowMatrix &mat) { +std::ostream& operator<<(std::ostream &os, const boolean_colrowmatrix &mat) { + + os << " "; + for (unsigned c=0; c < mat.size(); ++c) { + const unsigned d = (c % 10); + if (d > 0) + os << d; + else + os << " "; + } + os << std::endl; + for (unsigned r=0; r < mat.size(); ++r) { + const unsigned d = (r % 10); + if (d > 0) + os << d; + else + os << " "; + for (unsigned c=0; c < mat.size(); ++c) os << (mat.get(r,c) ? "X" : "."); @@ -332,17 +444,17 @@ std::ostream& operator<<(std::ostream &os, const BooleanColRowMatrix &mat) { } template -std::ostream& operator<<(std::ostream &os, BooleanColRowMatrix &mat) { - const BooleanColRowMatrix &m = mat; +std::ostream& operator<<(std::ostream &os, boolean_colrowmatrix &mat) { + const boolean_colrowmatrix &m = mat; return os << m; } template -std::ostream& operator<<(std::ostream &os, const BooleanRowMatrix_base &mat) { +std::ostream& operator<<(std::ostream &os, const boolean_rowmatrix_base &mat) { for (unsigned r=0; r < mat.height(); ++r) { // Get the sorted r-th row - std::list row(mat.getRow(r).size()); - copy(mat.getRow(r).begin(), mat.getRow(r).end(), row.begin()); + std::list row(mat.get_row(r).size()); + copy(mat.get_row(r).begin(), mat.get_row(r).end(), row.begin()); os << "|"; // Print the elements, and remove them @@ -361,13 +473,13 @@ std::ostream& operator<<(std::ostream &os, const BooleanRowMatrix_base &m } template -std::ostream& operator<<(std::ostream &os, BooleanRowMatrix_base &mat) { - const BooleanRowMatrix_base &m = mat; +std::ostream& operator<<(std::ostream &os, boolean_rowmatrix_base &mat) { + const boolean_rowmatrix_base &m = mat; return os << m; } template -std::ostream& operator<<(std::ostream &os, const BooleanColMatrix_base &mat) { +std::ostream& operator<<(std::ostream &os, const boolean_colmatrix_base &mat) { // The sorted columns std::vector > cols; // The max height (max. value) of all columns @@ -375,8 +487,8 @@ std::ostream& operator<<(std::ostream &os, const BooleanColMatrix_base &m for (unsigned c=0; c < mat.width(); ++c) { // Get the sorted c-th column - std::list col(mat.getColumn(c).size()); - copy(mat.getColumn(c).begin(), mat.getColumn(c).end(), col.begin()); + std::list col(mat.get_column(c).size()); + copy(mat.get_column(c).begin(), mat.get_column(c).end(), col.begin()); cols.push_back(col); os << "-"; @@ -407,8 +519,8 @@ std::ostream& operator<<(std::ostream &os, const BooleanColMatrix_base &m } template -std::ostream& operator<<(std::ostream &os, BooleanColMatrix_base &mat) { - const BooleanColMatrix_base &m = mat; +std::ostream& operator<<(std::ostream &os, boolean_colmatrix_base &mat) { + const boolean_colmatrix_base &m = mat; return os << m; }