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//===------ Math.h - PBQP Vector and Matrix classes -------------*- C++ -*-===// // // The LLVM Compiler Infrastructure // // This file is distributed under the University of Illinois Open Source // License. See LICENSE.TXT for details. // //===----------------------------------------------------------------------===// #ifndef LLVM_CODEGEN_PBQP_MATH_H #define LLVM_CODEGEN_PBQP_MATH_H #include <cassert> #include <algorithm> #include <functional> namespace PBQP { typedef float PBQPNum; /// \brief PBQP Vector class. class Vector { public: /// \brief Construct a PBQP vector of the given size. explicit Vector(unsigned length) : length(length), data(new PBQPNum[length]) { } /// \brief Construct a PBQP vector with initializer. Vector(unsigned length, PBQPNum initVal) : length(length), data(new PBQPNum[length]) { std::fill(data, data + length, initVal); } /// \brief Copy construct a PBQP vector. Vector(const Vector &v) : length(v.length), data(new PBQPNum[length]) { std::copy(v.data, v.data + length, data); } /// \brief Destroy this vector, return its memory. ~Vector() { delete[] data; } /// \brief Assignment operator. Vector& operator=(const Vector &v) { delete[] data; length = v.length; data = new PBQPNum[length]; std::copy(v.data, v.data + length, data); return *this; } /// \brief Return the length of the vector unsigned getLength() const { return length; } /// \brief Element access. PBQPNum& operator[](unsigned index) { assert(index < length && "Vector element access out of bounds."); return data[index]; } /// \brief Const element access. const PBQPNum& operator[](unsigned index) const { assert(index < length && "Vector element access out of bounds."); return data[index]; } /// \brief Add another vector to this one. Vector& operator+=(const Vector &v) { assert(length == v.length && "Vector length mismatch."); std::transform(data, data + length, v.data, data, std::plus<PBQPNum>()); return *this; } /// \brief Subtract another vector from this one. Vector& operator-=(const Vector &v) { assert(length == v.length && "Vector length mismatch."); std::transform(data, data + length, v.data, data, std::minus<PBQPNum>()); return *this; } /// \brief Returns the index of the minimum value in this vector unsigned minIndex() const { return std::min_element(data, data + length) - data; } private: unsigned length; PBQPNum *data; }; /// \brief Output a textual representation of the given vector on the given /// output stream. template <typename OStream> OStream& operator<<(OStream &os, const Vector &v) { assert((v.getLength() != 0) && "Zero-length vector badness."); os << "[ " << v[0]; for (unsigned i = 1; i < v.getLength(); ++i) { os << ", " << v[i]; } os << " ]"; return os; } /// \brief PBQP Matrix class class Matrix { public: /// \brief Construct a PBQP Matrix with the given dimensions. Matrix(unsigned rows, unsigned cols) : rows(rows), cols(cols), data(new PBQPNum[rows * cols]) { } /// \brief Construct a PBQP Matrix with the given dimensions and initial /// value. Matrix(unsigned rows, unsigned cols, PBQPNum initVal) : rows(rows), cols(cols), data(new PBQPNum[rows * cols]) { std::fill(data, data + (rows * cols), initVal); } /// \brief Copy construct a PBQP matrix. Matrix(const Matrix &m) : rows(m.rows), cols(m.cols), data(new PBQPNum[rows * cols]) { std::copy(m.data, m.data + (rows * cols), data); } /// \brief Destroy this matrix, return its memory. ~Matrix() { delete[] data; } /// \brief Assignment operator. Matrix& operator=(const Matrix &m) { delete[] data; rows = m.rows; cols = m.cols; data = new PBQPNum[rows * cols]; std::copy(m.data, m.data + (rows * cols), data); return *this; } /// \brief Return the number of rows in this matrix. unsigned getRows() const { return rows; } /// \brief Return the number of cols in this matrix. unsigned getCols() const { return cols; } /// \brief Matrix element access. PBQPNum* operator[](unsigned r) { assert(r < rows && "Row out of bounds."); return data + (r * cols); } /// \brief Matrix element access. const PBQPNum* operator[](unsigned r) const { assert(r < rows && "Row out of bounds."); return data + (r * cols); } /// \brief Returns the given row as a vector. Vector getRowAsVector(unsigned r) const { Vector v(cols); for (unsigned c = 0; c < cols; ++c) v[c] = (*this)[r][c]; return v; } /// \brief Returns the given column as a vector. Vector getColAsVector(unsigned c) const { Vector v(rows); for (unsigned r = 0; r < rows; ++r) v[r] = (*this)[r][c]; return v; } /// \brief Reset the matrix to the given value. Matrix& reset(PBQPNum val = 0) { std::fill(data, data + (rows * cols), val); return *this; } /// \brief Set a single row of this matrix to the given value. Matrix& setRow(unsigned r, PBQPNum val) { assert(r < rows && "Row out of bounds."); std::fill(data + (r * cols), data + ((r + 1) * cols), val); return *this; } /// \brief Set a single column of this matrix to the given value. Matrix& setCol(unsigned c, PBQPNum val) { assert(c < cols && "Column out of bounds."); for (unsigned r = 0; r < rows; ++r) (*this)[r][c] = val; return *this; } /// \brief Matrix transpose. Matrix transpose() const { Matrix m(cols, rows); for (unsigned r = 0; r < rows; ++r) for (unsigned c = 0; c < cols; ++c) m[c][r] = (*this)[r][c]; return m; } /// \brief Returns the diagonal of the matrix as a vector. /// /// Matrix must be square. Vector diagonalize() const { assert(rows == cols && "Attempt to diagonalize non-square matrix."); Vector v(rows); for (unsigned r = 0; r < rows; ++r) v[r] = (*this)[r][r]; return v; } /// \brief Add the given matrix to this one. Matrix& operator+=(const Matrix &m) { assert(rows == m.rows && cols == m.cols && "Matrix dimensions mismatch."); std::transform(data, data + (rows * cols), m.data, data, std::plus<PBQPNum>()); return *this; } /// \brief Returns the minimum of the given row PBQPNum getRowMin(unsigned r) const { assert(r < rows && "Row out of bounds"); return *std::min_element(data + (r * cols), data + ((r + 1) * cols)); } /// \brief Returns the minimum of the given column PBQPNum getColMin(unsigned c) const { PBQPNum minElem = (*this)[0][c]; for (unsigned r = 1; r < rows; ++r) if ((*this)[r][c] < minElem) minElem = (*this)[r][c]; return minElem; } /// \brief Subtracts the given scalar from the elements of the given row. Matrix& subFromRow(unsigned r, PBQPNum val) { assert(r < rows && "Row out of bounds"); std::transform(data + (r * cols), data + ((r + 1) * cols), data + (r * cols), std::bind2nd(std::minus<PBQPNum>(), val)); return *this; } /// \brief Subtracts the given scalar from the elements of the given column. Matrix& subFromCol(unsigned c, PBQPNum val) { for (unsigned r = 0; r < rows; ++r) (*this)[r][c] -= val; return *this; } /// \brief Returns true if this is a zero matrix. bool isZero() const { return find_if(data, data + (rows * cols), std::bind2nd(std::not_equal_to<PBQPNum>(), 0)) == data + (rows * cols); } private: unsigned rows, cols; PBQPNum *data; }; /// \brief Output a textual representation of the given matrix on the given /// output stream. template <typename OStream> OStream& operator<<(OStream &os, const Matrix &m) { assert((m.getRows() != 0) && "Zero-row matrix badness."); for (unsigned i = 0; i < m.getRows(); ++i) { os << m.getRowAsVector(i); } return os; } } #endif // LLVM_CODEGEN_PBQP_MATH_H