Kinetics.h

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/**
 * @file Kinetics.h
 *  Base class for kinetics managers and also contains the kineticsmgr
 *  module documentation (see \ref  kineticsmgr and class
 *  \link Cantera::Kinetics Kinetics\endlink).
 */
 
// This file is part of Cantera. See License.txt in the top-level directory or
// at https://cantera.org/license.txt for license and copyright information.
 
#ifndef CT_KINETICS_H
#define CT_KINETICS_H
 
#include "StoichManager.h"
#include "cantera/base/ValueCache.h"
 
namespace Cantera
{
 
class ThermoPhase;
class Reaction;
class Solution;
class AnyMap;
 
/**
 * @defgroup chemkinetics Chemical Kinetics
 */
 
/// @defgroup kineticsmgr Kinetics Managers
/// @section kinmodman Models and Managers
///
/// A kinetics manager is a C++ class that implements a kinetics model; a
/// kinetics model is a set of mathematical equation describing how various
/// kinetic quantities are to be computed -- reaction rates, species production
/// rates, etc. Many different kinetics models might be defined to handle
/// different types of kinetic processes. For example, one kinetics model might
/// use expressions valid for elementary reactions in ideal gas mixtures. It
/// might, for example, require the reaction orders to be integral and equal to
/// the forward stoichiometric coefficients, require that each reaction be
/// reversible with a reverse rate satisfying detailed balance, include
/// pressure-dependent unimolecular reactions, etc. Another kinetics model might
/// be designed for heterogeneous chemistry at interfaces, and might allow
/// empirical reaction orders, coverage-dependent activation energies,
/// irreversible reactions, and include effects of potential differences across
/// the interface on reaction rates.
///
/// A kinetics manager implements a kinetics model. Since the model equations
/// may be complex and expensive to evaluate, a kinetics manager may adopt
/// various strategies to 'manage' the computation and evaluate the expressions
/// efficiently. For example, if there are rate coefficients or other quantities
/// that depend only on temperature, a manager class may choose to store these
/// quantities internally, and re-evaluate them only when the temperature has
/// actually changed. Or a manager designed for use with reaction mechanisms
/// with a few repeated activation energies might precompute the terms \f$
/// exp(-E/RT) \f$, instead of evaluating the exponential repeatedly for each
/// reaction. There are many other possible 'management styles', each of which
/// might be better suited to some reaction mechanisms than others.
///
/// But however a manager structures the internal computation, the tasks the
/// manager class must perform are, for the most part, the same. It must be able
/// to compute reaction rates, species production rates, equilibrium constants,
/// etc. Therefore, all kinetics manager classes should have a common set of
/// public methods, but differ in how they implement these methods.
///
/// A kinetics manager computes reaction rates of progress, species production
/// rates, equilibrium constants, and similar quantities for a reaction
/// mechanism. All kinetics manager classes derive from class Kinetics, which
/// defines a common public interface for all kinetics managers. Each derived
/// class overloads the virtual methods of Kinetics to implement a particular
/// kinetics model.
///
/// For example, class GasKinetics implements reaction rate expressions
/// appropriate for homogeneous reactions in ideal gas mixtures, and class
/// InterfaceKinetics implements expressions appropriate for heterogeneous
/// mechanisms at interfaces, including how to handle reactions involving
/// charged species of phases with different electric potentials --- something
/// that class GasKinetics doesn't deal with at all.
///
/// Many of the methods of class Kinetics write into arrays the values of some
/// quantity for each species, for example the net production rate. These
/// methods always write the results into flat arrays, ordered by phase in the
/// order the phase was added, and within a phase in the order the species were
/// added to the phase (which is the same ordering as in the input file).
/// Example: suppose a heterogeneous mechanism involves three phases -- a bulk
/// phase 'a', another bulk phase 'b', and the surface phase 'a:b' at the a/b
/// interface. Phase 'a' contains 12 species, phase 'b' contains 3, and at the
/// interface there are 5 adsorbed species defined in phase 'a:b'. Then methods
/// like getNetProductionRates(doublereal* net) will write and output array of
/// length 20, beginning at the location pointed to by 'net'. The first 12
/// values will be the net production rates for all 12 species of phase 'a'
/// (even if some do not participate in the reactions), the next 3 will be for
/// phase 'b', and finally the net production rates for the surface species will
/// occupy the last 5 locations.
/// @ingroup chemkinetics
 
 
//! Public interface for kinetics managers.
/*!
 * This class serves as a base class to derive 'kinetics managers', which are
 * classes that manage homogeneous chemistry within one phase, or heterogeneous
 * chemistry at one interface. The virtual methods of this class are meant to be
 * overloaded in subclasses. The non-virtual methods perform generic functions
 * and are implemented in Kinetics. They should not be overloaded. Only those
 * methods required by a subclass need to be overloaded; the rest will throw
 * exceptions if called.
 *
 * When the nomenclature "kinetics species index" is used below, this means that
 * the species index ranges over all species in all phases handled by the
 * kinetics manager.
 *
 *  @ingroup kineticsmgr
 */
class Kinetics
{
public:
    //! @name Constructors and General Information about Mechanism
    //! @{
 
    /// Default constructor.
    Kinetics();
 
    virtual ~Kinetics();
 
    //! Kinetics objects are not copyable or assignable
    Kinetics(const Kinetics&) = delete;
    Kinetics& operator=(const Kinetics&)= delete;
 
    //! Identifies the Kinetics manager type.
    //! Each class derived from Kinetics should override this method to return
    //! a meaningful identifier.
    virtual std::string kineticsType() const {
        return "None";
    }
 
    //! Finalize Kinetics object and associated objects
    virtual void resizeReactions();
 
    //! Number of reactions in the reaction mechanism.
    size_t nReactions() const {
        return m_reactions.size();
    }
 
    //! Check that the specified reaction index is in range
    //! Throws an exception if i is greater than nReactions()
    void checkReactionIndex(size_t m) const;
 
    //! Check that an array size is at least nReactions()
    //! Throws an exception if ii is less than nReactions(). Used before calls
    //! which take an array pointer.
    void checkReactionArraySize(size_t ii) const;
 
    //! Check that the specified species index is in range
    //! Throws an exception if k is greater than nSpecies()-1
    void checkSpeciesIndex(size_t k) const;
 
    //! Check that an array size is at least nSpecies()
    //! Throws an exception if kk is less than nSpecies(). Used before calls
    //! which take an array pointer.
    void checkSpeciesArraySize(size_t mm) const;
 
    //! @}
    //! @name Information/Lookup Functions about Phases and Species
    //! @{
 
    /**
     * The number of phases participating in the reaction mechanism. For a
     * homogeneous reaction mechanism, this will always return 1, but for a
     * heterogeneous mechanism it will return the total number of phases in the
     * mechanism.
     */
    size_t nPhases() const {
        return m_thermo.size();
    }
 
    //! Check that the specified phase index is in range
    //! Throws an exception if m is greater than nPhases()
    void checkPhaseIndex(size_t m) const;
 
    //! Check that an array size is at least nPhases()
    //! Throws an exception if mm is less than nPhases(). Used before calls
    //! which take an array pointer.
    void checkPhaseArraySize(size_t mm) const;
 
    /**
     * Return the phase index of a phase in the list of phases defined within
     * the object.
     *
     *  @param ph std::string name of the phase
     *
     * If a -1 is returned, then the phase is not defined in the Kinetics
     * object.
     */
    size_t phaseIndex(const std::string& ph) const {
        if (m_phaseindex.find(ph) == m_phaseindex.end()) {
            return npos;
        } else {
            return m_phaseindex.at(ph) - 1;
        }
    }
 
    /**
     * This returns the integer index of the phase which has ThermoPhase type
     * cSurf. For heterogeneous mechanisms, this identifies the one surface
     * phase. For homogeneous mechanisms, this returns -1.
     */
    size_t surfacePhaseIndex() const {
        return m_surfphase;
    }
 
    /**
     * Phase where the reactions occur. For heterogeneous mechanisms, one of
     * the phases in the list of phases represents the 2D interface or 1D edge
     * at which the reactions take place. This method returns the index of the
     * phase with the smallest spatial dimension (1, 2, or 3) among the list
     * of phases. If there is more than one, the index of the first one is
     * returned. For homogeneous mechanisms, the value 0 is returned.
     */
    size_t reactionPhaseIndex() const {
        return m_rxnphase;
    }
 
    /**
     * This method returns a reference to the nth ThermoPhase object defined
     * in this kinetics mechanism. It is typically used so that member
     * functions of the ThermoPhase object may be called. For homogeneous
     * mechanisms, there is only one object, and this method can be called
     * without an argument to access it.
     *
     * @param n Index of the ThermoPhase being sought.
     */
    ThermoPhase& thermo(size_t n=0) {
        return *m_thermo[n];
    }
    const ThermoPhase& thermo(size_t n=0) const {
        return *m_thermo[n];
    }
 
    /**
     * The total number of species in all phases participating in the kinetics
     * mechanism. This is useful to dimension arrays for use in calls to
     * methods that return the species production rates, for example.
     */
    size_t nTotalSpecies() const {
        return m_kk;
    }
 
    /**
     * The location of species k of phase n in species arrays. Kinetics manager
     * classes return species production rates in flat arrays, with the species
     * of each phases following one another, in the order the phases were added.
     * This method is useful to find the value for a particular species of a
     * particular phase in arrays returned from methods like getCreationRates
     * that return an array of species-specific quantities.
     *
     * Example: suppose a heterogeneous mechanism involves three phases. The
     * first contains 12 species, the second 26, and the third 3. Then species
     * arrays must have size at least 41, and positions 0 - 11 are the values
     * for the species in the first phase, positions 12 - 37 are the values for
     * the species in the second phase, etc. Then kineticsSpeciesIndex(7, 0) =
     * 7, kineticsSpeciesIndex(4, 1) = 16, and kineticsSpeciesIndex(2, 2) = 40.
     *
     * @param k species index
     * @param n phase index for the species
     */
    size_t kineticsSpeciesIndex(size_t k, size_t n) const {
        return m_start[n] + k;
    }
 
    //! Return the name of the kth species in the kinetics manager.
    /*!
     *  k is an integer from 0 to ktot - 1, where ktot is the number of
     * species in the kinetics manager, which is the sum of the number of
     * species in all phases participating in the kinetics manager. If k is
     * out of bounds, the string "<unknown>" is returned.
     *
     * @param k species index
     */
    std::string kineticsSpeciesName(size_t k) const;
 
    /**
     * This routine will look up a species number based on the input
     * std::string nm. The lookup of species will occur for all phases
     * listed in the kinetics object.
     *
     *  return
     *   - If a match is found, the position in the species list is returned.
     *   - If no match is found, the value -1 is returned.
     *
     * @param nm   Input string name of the species
     */
    size_t kineticsSpeciesIndex(const std::string& nm) const;
 
    /**
     * This routine will look up a species number based on the input
     * std::string nm. The lookup of species will occur in the specified
     * phase of the object, or all phases if ph is "<any>".
     *
     *  return
     *   - If a match is found, the position in the species list is returned.
     *   - If no match is found, the value npos (-1) is returned.
     *
     * @param nm   Input string name of the species
     * @param ph   Input string name of the phase.
     */
    size_t kineticsSpeciesIndex(const std::string& nm,
                                const std::string& ph) const;
 
    /**
     * This function looks up the name of a species and returns a
     * reference to the ThermoPhase object of the phase where the species
     * resides. Will throw an error if the species doesn't match.
     *
     * @param nm   String containing the name of the species.
     */
    ThermoPhase& speciesPhase(const std::string& nm);
    const ThermoPhase& speciesPhase(const std::string& nm) const;
 
    /**
     * This function takes as an argument the kineticsSpecies index
     * (that is, the list index in the list of species in the kinetics
     * manager) and returns the species' owning ThermoPhase object.
     *
     * @param k          Species index
     */
    ThermoPhase& speciesPhase(size_t k) {
        return thermo(speciesPhaseIndex(k));
    }
 
    /**
     * This function takes as an argument the kineticsSpecies index (that is, the
     * list index in the list of species in the kinetics manager) and returns
     * the index of the phase owning the species.
     *
     * @param k          Species index
     */
    size_t speciesPhaseIndex(size_t k) const;
 
    //! @}
    //! @name Reaction Rates Of Progress
    //! @{
 
    //!  Return the forward rates of progress of the reactions
    /*!
     * Forward rates of progress. Return the forward rates of
     * progress in array fwdROP, which must be dimensioned at
     * least as large as the total number of reactions.
     *
     * @param fwdROP  Output vector containing forward rates
     *                of progress of the reactions. Length: nReactions().
     */
    virtual void getFwdRatesOfProgress(doublereal* fwdROP);
 
    //!  Return the Reverse rates of progress of the reactions
    /*!
     * Return the reverse rates of progress in array revROP, which must be
     * dimensioned at least as large as the total number of reactions.
     *
     * @param revROP  Output vector containing reverse rates
     *                of progress of the reactions. Length: nReactions().
     */
    virtual void getRevRatesOfProgress(doublereal* revROP);
 
    /**
     * Net rates of progress. Return the net (forward - reverse) rates of
     * progress in array netROP, which must be dimensioned at least as large
     * as the total number of reactions.
     *
     * @param netROP  Output vector of the net ROP. Length: nReactions().
     */
    virtual void getNetRatesOfProgress(doublereal* netROP);
 
    //! Return a vector of Equilibrium constants.
    /*!
     *  Return the equilibrium constants of the reactions in concentration
     *  units in array kc, which must be dimensioned at least as large as the
     *  total number of reactions.
     *
     * \f[
     *       Kc_i = exp [ \Delta G_{ss,i} ] prod(Cs_k) exp(\sum_k \nu_{k,i} F \phi_n) ]
     * \f]
     *
     * @param kc   Output vector containing the equilibrium constants.
     *             Length: nReactions().
     */
    virtual void getEquilibriumConstants(doublereal* kc) {
        throw NotImplementedError("Kinetics::getEquilibriumConstants");
    }
 
    /**
     * Change in species properties. Given an array of molar species property
     * values \f$ z_k, k = 1, \dots, K \f$, return the array of reaction values
     * \f[
     *    \Delta Z_i = \sum_k \nu_{k,i} z_k, i = 1, \dots, I.
     * \f]
     * For example, if this method is called with the array of standard-state
     * molar Gibbs free energies for the species, then the values returned in
     * array \c deltaProperty would be the standard-state Gibbs free energies of
     * reaction for each reaction.
     *
     * @param property Input vector of property value. Length: m_kk.
     * @param deltaProperty Output vector of deltaRxn. Length: nReactions().
     */
    virtual void getReactionDelta(const double* property, double* deltaProperty) const;
 
    /**
     * Given an array of species properties 'g', return in array 'dg' the
     * change in this quantity in the reversible reactions. Array 'g' must
     * have a length at least as great as the number of species, and array
     * 'dg' must have a length as great as the total number of reactions.
     * This method only computes 'dg' for the reversible reactions, and the
     * entries of 'dg' for the irreversible reactions are unaltered. This is
     * primarily designed for use in calculating reverse rate coefficients
     * from thermochemistry for reversible reactions.
     */
    virtual void getRevReactionDelta(const double* g, double* dg) const;
 
    //! Return the vector of values for the reaction Gibbs free energy change.
    /*!
     * (virtual from Kinetics.h)
     * These values depend upon the concentration of the solution.
     *
     *  units = J kmol-1
     *
     * @param deltaG  Output vector of deltaG's for reactions Length:
     *     nReactions().
     */
    virtual void getDeltaGibbs(doublereal* deltaG) {
        throw NotImplementedError("Kinetics::getDeltaGibbs");
    }
 
    //! Return the vector of values for the reaction electrochemical free
    //! energy change.
    /*!
     * These values depend upon the concentration of the solution and the
     * voltage of the phases
     *
     *  units = J kmol-1
     *
     * @param deltaM  Output vector of deltaM's for reactions Length:
     *     nReactions().
     */
    virtual void getDeltaElectrochemPotentials(doublereal* deltaM) {
        throw NotImplementedError("Kinetics::getDeltaElectrochemPotentials");
    }
 
    /**
     * Return the vector of values for the reactions change in enthalpy.
     * These values depend upon the concentration of the solution.
     *
     *  units = J kmol-1
     *
     * @param deltaH  Output vector of deltaH's for reactions Length:
     *     nReactions().
     */
    virtual void getDeltaEnthalpy(doublereal* deltaH) {
        throw NotImplementedError("Kinetics::getDeltaEnthalpy");
    }
 
    /**
     * Return the vector of values for the reactions change in entropy. These
     * values depend upon the concentration of the solution.
     *
     *  units = J kmol-1 Kelvin-1
     *
     * @param deltaS  Output vector of deltaS's for reactions Length:
     *     nReactions().
     */
    virtual void getDeltaEntropy(doublereal* deltaS) {
        throw NotImplementedError("Kinetics::getDeltaEntropy");
    }
 
    /**
     * Return the vector of values for the reaction standard state Gibbs free
     * energy change. These values don't depend upon the concentration of the
     * solution.
     *
     *  units = J kmol-1
     *
     * @param deltaG  Output vector of ss deltaG's for reactions Length:
     *     nReactions().
     */
    virtual void getDeltaSSGibbs(doublereal* deltaG) {
        throw NotImplementedError("Kinetics::getDeltaSSGibbs");
    }
 
    /**
     * Return the vector of values for the change in the standard state
     * enthalpies of reaction. These values don't depend upon the concentration
     * of the solution.
     *
     *  units = J kmol-1
     *
     * @param deltaH  Output vector of ss deltaH's for reactions Length:
     *     nReactions().
     */
    virtual void getDeltaSSEnthalpy(doublereal* deltaH) {
        throw NotImplementedError("Kinetics::getDeltaSSEnthalpy");
    }
 
    /**
     * Return the vector of values for the change in the standard state
     * entropies for each reaction. These values don't depend upon the
     * concentration of the solution.
     *
     *  units = J kmol-1 Kelvin-1
     *
     * @param deltaS  Output vector of ss deltaS's for reactions Length:
     *     nReactions().
     */
    virtual void getDeltaSSEntropy(doublereal* deltaS) {
        throw NotImplementedError("Kinetics::getDeltaSSEntropy");
    }
 
    /**
     * Return a vector of values of effective concentrations of third-body
     * collision partners of any reaction. Entries for reactions not involving
     * third-body collision parters are not defined and set to not-a-number.
     *
     * @param concm  Output vector of effective third-body concentrations.
     *      Length: nReactions().
     */
    virtual void getThirdBodyConcentrations(double* concm) {
        throw NotImplementedError("Kinetics::getThirdBodyConcentrations",
            "Not applicable/implemented for Kinetics object of type '{}'",
            kineticsType());
    }
 
    /**
     * Provide direct access to current third-body concentration values.
     * @see getThirdBodyConcentrations.
     */
    virtual const vector_fp& thirdBodyConcentrations() const {
        throw NotImplementedError("Kinetics::thirdBodyConcentrations",
            "Not applicable/implemented for Kinetics object of type '{}'",
            kineticsType());
    }
 
    //! @}
    //! @name Species Production Rates
    //! @{
 
    /**
     * Species creation rates [kmol/m^3/s or kmol/m^2/s]. Return the species
     * creation rates in array cdot, which must be dimensioned at least as
     * large as the total number of species in all phases. @see nTotalSpecies.
     *
     * @param cdot   Output vector of creation rates. Length: m_kk.
     */
    virtual void getCreationRates(doublereal* cdot);
 
    /**
     * Species destruction rates [kmol/m^3/s or kmol/m^2/s]. Return the species
     * destruction rates in array ddot, which must be dimensioned at least as
     * large as the total number of species. @see nTotalSpecies.
     *
     * @param ddot   Output vector of destruction rates. Length: m_kk.
     */
    virtual void getDestructionRates(doublereal* ddot);
 
    /**
     * Species net production rates [kmol/m^3/s or kmol/m^2/s]. Return the
     * species net production rates (creation - destruction) in array wdot,
     * which must be dimensioned at least as large as the total number of
     * species. @see nTotalSpecies.
     *
     * @param wdot   Output vector of net production rates. Length: m_kk.
     */
    virtual void getNetProductionRates(doublereal* wdot);
 
    //! @}
    //! @name Routines to Calculate Derivatives (Jacobians)
    /*!
     * Derivatives are calculated with respect to temperature, pressure, molar
     * concentrations and species mole fractions for forward/reverse/net rates of
     * progress as well as creation/destruction and net production of species.
     *
     * The following suffixes are used to indicate derivatives:
     *  - `_ddT`: derivative with respect to temperature (a vector)
     *  - `_ddP`: derivative with respect to pressure (a vector)
     *  - `_ddC`: derivative with respect to molar concentration (a vector)
     *  - `_ddX`: derivative with respect to species mole fractions (a matrix)
     *
     * Settings for derivative evaluation are set by keyword/value pairs using
     * the methods @see getDerivativeSettings and @see setDerivativeSettings.
     *
     * For GasKinetics, the following keyword/value pairs are supported:
     *  - `skip-third-bodies` (boolean) ... if `false` (default), third body
     *    concentrations are considered for the evaluation of jacobians
     *  - `skip-falloff` (boolean) ... if `false` (default), third-body effects
     *    on rate constants are considered for the evaluation of derivatives.
     *  - `rtol-delta` (double) ... relative tolerance used to perturb properties
     *    when calculating numerical derivatives. The default value is 1e-8.
     *
     * @warning  The calculation of derivatives is an experimental part of the
     *      %Cantera API and may be changed or removed without notice.
     */
    //! @{
 
    /**
     * Retrieve derivative settings.
     *
     * @param settings  AnyMap containing settings determining derivative evaluation.
     */
    virtual void getDerivativeSettings(AnyMap& settings) const
    {
        throw NotImplementedError("Kinetics::getDerivativeSettings",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Set/modify derivative settings.
     *
     * @param settings  AnyMap containing settings determining derivative evaluation.
     */
    virtual void setDerivativeSettings(const AnyMap& settings)
    {
        throw NotImplementedError("Kinetics::setDerivativeSettings",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Calculate derivatives for forward rate constants with respect to temperature
     * at constant pressure, molar concentration and mole fractions
     * @param[out] dkfwd  Output vector of derivatives. Length: nReactions().
     */
    virtual void getFwdRateConstants_ddT(double* dkfwd)
    {
        throw NotImplementedError("Kinetics::getFwdRateConstants_ddT",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Calculate derivatives for forward rate constants with respect to pressure
     * at constant temperature, molar concentration and mole fractions.
     * @param[out] dkfwd  Output vector of derivatives. Length: nReactions().
     */
    virtual void getFwdRateConstants_ddP(double* dkfwd)
    {
        throw NotImplementedError("Kinetics::getFwdRateConstants_ddP",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Calculate derivatives for forward rate constants with respect to molar
     * concentration at constant temperature, pressure and mole fractions.
     * @param[out] dkfwd  Output vector of derivatives. Length: nReactions().
     *
     * @warning  This method is an experimental part of the %Cantera API and
     *      may be changed or removed without notice.
     */
    virtual void getFwdRateConstants_ddC(double* dkfwd)
    {
        throw NotImplementedError("Kinetics::getFwdRateConstants_ddC",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Calculate derivatives for forward rates-of-progress with respect to temperature
     * at constant pressure, molar concentration and mole fractions.
     * @param[out] drop  Output vector of derivatives. Length: nReactions().
     */
    virtual void getFwdRatesOfProgress_ddT(double* drop)
    {
        throw NotImplementedError("Kinetics::getFwdRatesOfProgress_ddT",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Calculate derivatives for forward rates-of-progress with respect to pressure
     * at constant temperature, molar concentration and mole fractions.
     * @param[out] drop  Output vector of derivatives. Length: nReactions().
     */
    virtual void getFwdRatesOfProgress_ddP(double* drop)
    {
        throw NotImplementedError("Kinetics::getFwdRatesOfProgress_ddP",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Calculate derivatives for forward rates-of-progress with respect to molar
     * concentration at constant temperature, pressure and mole fractions.
     * @param[out] drop  Output vector of derivatives. Length: nReactions().
     *
     * @warning  This method is an experimental part of the %Cantera API and
     *      may be changed or removed without notice.
     */
    virtual void getFwdRatesOfProgress_ddC(double* drop)
    {
        throw NotImplementedError("Kinetics::getFwdRatesOfProgress_ddC",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Calculate derivatives for forward rates-of-progress with respect to species
     * mole fractions at constant temperature, pressure and molar concentration.
     *
     * The method returns a matrix with nReactions rows and nTotalSpecies columns.
     * For a derivative with respect to \f$X_i\f$, all other \f$X_j\f$ are held
     * constant, rather than enforcing \f$\sum X_j = 1\f$.
     *
     * @warning  This method is an experimental part of the %Cantera API and
     *      may be changed or removed without notice.
     */
    virtual Eigen::SparseMatrix<double> fwdRatesOfProgress_ddX()
    {
        throw NotImplementedError("Kinetics::fwdRatesOfProgress_ddX",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Calculate derivatives for reverse rates-of-progress with respect to temperature
     * at constant pressure, molar concentration and mole fractions.
     * @param[out] drop  Output vector of derivatives. Length: nReactions().
     */
    virtual void getRevRatesOfProgress_ddT(double* drop)
    {
        throw NotImplementedError("Kinetics::getRevRatesOfProgress_ddT",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Calculate derivatives for reverse rates-of-progress with respect to pressure
     * at constant temperature, molar concentration and mole fractions.
     * @param[out] drop  Output vector of derivatives. Length: nReactions().
     */
    virtual void getRevRatesOfProgress_ddP(double* drop)
    {
        throw NotImplementedError("Kinetics::getRevRatesOfProgress_ddP",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Calculate derivatives for reverse rates-of-progress with respect to molar
     * concentration at constant temperature, pressure and mole fractions.
     * @param[out] drop  Output vector of derivatives. Length: nReactions().
     *
     * @warning  This method is an experimental part of the %Cantera API and
     *      may be changed or removed without notice.
     */
    virtual void getRevRatesOfProgress_ddC(double* drop)
    {
        throw NotImplementedError("Kinetics::getRevRatesOfProgress_ddC",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Calculate derivatives for reverse rates-of-progress with respect to species
     * mole fractions at constant temperature, pressure and molar concentration.
     *
     * The method returns a matrix with nReactions rows and nTotalSpecies columns.
     * For a derivative with respect to \f$X_i\f$, all other \f$X_j\f$ are held
     * constant, rather than enforcing \f$\sum X_j = 1\f$.
     *
     * @warning  This method is an experimental part of the %Cantera API and
     *      may be changed or removed without notice.
     */
    virtual Eigen::SparseMatrix<double> revRatesOfProgress_ddX()
    {
        throw NotImplementedError("Kinetics::revRatesOfProgress_ddX",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Calculate derivatives for net rates-of-progress with respect to temperature
     * at constant pressure, molar concentration and mole fractions.
     * @param[out] drop  Output vector of derivatives. Length: nReactions().
     */
    virtual void getNetRatesOfProgress_ddT(double* drop)
    {
        throw NotImplementedError("Kinetics::getNetRatesOfProgress_ddT",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Calculate derivatives for net rates-of-progress with respect to pressure
     * at constant temperature, molar concentration and mole fractions.
     * @param[out] drop  Output vector of derivatives. Length: nReactions().
     */
    virtual void getNetRatesOfProgress_ddP(double* drop)
    {
        throw NotImplementedError("Kinetics::getNetRatesOfProgress_ddP",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Calculate derivatives for net rates-of-progress with respect to molar
     * concentration at constant temperature, pressure and mole fractions.
     * @param[out] drop  Output vector of derivatives. Length: nReactions().
     *
     * @warning  This method is an experimental part of the %Cantera API and
     *      may be changed or removed without notice.
     */
    virtual void getNetRatesOfProgress_ddC(double* drop)
    {
        throw NotImplementedError("Kinetics::getNetRatesOfProgress_ddC",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Calculate derivatives for net rates-of-progress with respect to species
     * mole fractions at constant temperature, pressure and molar concentration.
     *
     * The method returns a matrix with nReactions rows and nTotalSpecies columns.
     * For a derivative with respect to \f$X_i\f$, all other \f$X_j\f$ are held
     * constant, rather than enforcing \f$\sum X_j = 1\f$.
     *
     * @warning  This method is an experimental part of the %Cantera API and
     *      may be changed or removed without notice.
     */
    virtual Eigen::SparseMatrix<double> netRatesOfProgress_ddX()
    {
        throw NotImplementedError("Kinetics::netRatesOfProgress_ddX",
            "Not implemented for kinetics type '{}'.", kineticsType());
    }
 
    /**
     * Calculate derivatives for species creation rates with respect to temperature
     * at constant pressure, molar concentration and mole fractions.
     * @param[out] dwdot  Output vector of derivatives. Length: m_kk.
     */
    void getCreationRates_ddT(double* dwdot);
 
    /**
     * Calculate derivatives for species creation rates with respect to pressure
     * at constant temperature, molar concentration and mole fractions.
     * @param[out] dwdot  Output vector of derivatives. Length: m_kk.
     */
    void getCreationRates_ddP(double* dwdot);
 
    /**
     * Calculate derivatives for species creation rates with respect to molar
     * concentration at constant temperature, pressure and mole fractions.
     * @param[out] dwdot  Output vector of derivatives. Length: m_kk.
     *
     * @warning  This method is an experimental part of the %Cantera API and
     *      may be changed or removed without notice.
     */
    void getCreationRates_ddC(double* dwdot);
 
    /**
     * Calculate derivatives for species creation rates with respect to species
     * mole fractions at constant temperature, pressure and molar concentration.
     *
     * The method returns a matrix with nTotalSpecies rows and nTotalSpecies columns.
     * For a derivative with respect to \f$X_i\f$, all other \f$X_j\f$ are held
     * constant, rather than enforcing \f$\sum X_j = 1\f$.
     *
     * @warning  This method is an experimental part of the %Cantera API and
     *      may be changed or removed without notice.
     */
    Eigen::SparseMatrix<double> creationRates_ddX();
 
    /**
     * Calculate derivatives for species destruction rates with respect to temperature
     * at constant pressure, molar concentration and mole fractions.
     * @param[out] dwdot  Output vector of derivatives. Length: m_kk.
     */
    void getDestructionRates_ddT(double* dwdot);
 
    /**
     * Calculate derivatives for species destruction rates with respect to pressure
     * at constant temperature, molar concentration and mole fractions.
     * @param[out] dwdot  Output vector of derivatives. Length: m_kk.
     */
    void getDestructionRates_ddP(double* dwdot);
 
    /**
     * Calculate derivatives for species destruction rates with respect to molar
     * concentration at constant temperature, pressure and mole fractions.
     * @param[out] dwdot  Output vector of derivatives. Length: m_kk.
     *
     * @warning  This method is an experimental part of the %Cantera API and
     *      may be changed or removed without notice.
     */
    void getDestructionRates_ddC(double* dwdot);
 
    /**
     * Calculate derivatives for species destruction rates with respect to species
     * mole fractions at constant temperature, pressure and molar concentration.
     *
     * The method returns a matrix with nTotalSpecies rows and nTotalSpecies columns.
     * For a derivative with respect to \f$X_i\f$, all other \f$X_j\f$ are held
     * constant, rather than enforcing \f$\sum X_j = 1\f$.
     *
     * @warning  This method is an experimental part of the %Cantera API and
     *      may be changed or removed without notice.
     */
    Eigen::SparseMatrix<double> destructionRates_ddX();
 
    /**
     * Calculate derivatives for species net production rates with respect to
     * temperature at constant pressure, molar concentration and mole fractions.
     * @param[out] dwdot  Output vector of derivatives. Length: m_kk.
     */
    void getNetProductionRates_ddT(double* dwdot);
 
    /**
     * Calculate derivatives for species net production rates with respect to pressure
     * at constant temperature, molar concentration and mole fractions.
     * @param[out] dwdot  Output vector of derivatives. Length: m_kk.
     */
    void getNetProductionRates_ddP(double* dwdot);
 
    /**
     * Calculate derivatives for species net production rates with respect to molar
     * concentration at constant temperature, pressure and mole fractions.
     * @param[out] dwdot  Output vector of derivatives. Length: m_kk.
     *
     * @warning  This method is an experimental part of the %Cantera API and
     *      may be changed or removed without notice.
     */
    void getNetProductionRates_ddC(double* dwdot);
 
    /**
     * Calculate derivatives for species net production rates with respect to species
     * mole fractions at constant temperature, pressure and molar concentration.
     *
     * The method returns a matrix with nTotalSpecies rows and nTotalSpecies columns.
     * For a derivative with respect to \f$X_i\f$, all other \f$X_j\f$ are held constant,
     * rather than enforcing \f$\sum X_j = 1\f$.
     *
     * @warning  This method is an experimental part of the %Cantera API and
     *      may be changed or removed without notice.
     */
    Eigen::SparseMatrix<double> netProductionRates_ddX();
 
    //! @}
    //! @name Reaction Mechanism Informational Query Routines
    //! @{
 
    /**
     * Stoichiometric coefficient of species k as a reactant in reaction i.
     *
     * @param k   kinetic species index
     * @param i   reaction index
     */
    virtual double reactantStoichCoeff(size_t k, size_t i) const;
 
    /**
     * Stoichiometric coefficient matrix for reactants.
     */
    Eigen::SparseMatrix<double> reactantStoichCoeffs() const {
        return m_reactantStoich.stoichCoeffs();
    }
 
    /**
     * Stoichiometric coefficient of species k as a product in reaction i.
     *
     * @param k   kinetic species index
     * @param i   reaction index
     */
    virtual double productStoichCoeff(size_t k, size_t i) const;
 
    /**
     * Stoichiometric coefficient matrix for products.
     */
    Eigen::SparseMatrix<double> productStoichCoeffs() const {
        return m_productStoich.stoichCoeffs();
    }
 
    /**
     * Stoichiometric coefficient matrix for products of reversible reactions.
     */
    Eigen::SparseMatrix<double> revProductStoichCoeffs() const {
        return m_revProductStoich.stoichCoeffs();
    }
 
    //! Reactant order of species k in reaction i.
    /*!
     * This is the nominal order of the activity concentration in
     * determining the forward rate of progress of the reaction
     *
     * @param k   kinetic species index
     * @param i   reaction index
     */
    virtual doublereal reactantOrder(size_t k, size_t i) const {
        throw NotImplementedError("Kinetics::reactantOrder");
    }
 
    //! product Order of species k in reaction i.
    /*!
     * This is the nominal order of the activity concentration of species k in
     * determining the reverse rate of progress of the reaction i
     *
     * For irreversible reactions, this will all be zero.
     *
     * @param k   kinetic species index
     * @param i   reaction index
     */
    virtual doublereal productOrder(int k, int i) const {
        throw NotImplementedError("Kinetics::productOrder");
    }
 
    //! Get the vector of activity concentrations used in the kinetics object
    /*!
     *  @param[out] conc  Vector of activity concentrations. Length is equal
     *               to the number of species in the kinetics object
     */
    virtual void getActivityConcentrations(doublereal* const conc) {
        throw NotImplementedError("Kinetics::getActivityConcentrations");
    }
 
    /**
     * Flag specifying the type of reaction. The legal values and their meaning
     * are specific to the particular kinetics manager.
     *
     * @param i   reaction index
     *
     * @deprecated To be changed after Cantera 2.6.
     */
    virtual int reactionType(size_t i) const;
 
    /**
     * String specifying the type of reaction.
     *
     * @param i   reaction index
     */
    virtual std::string reactionTypeStr(size_t i) const;
 
    /**
     * True if reaction i has been declared to be reversible. If isReversible(i)
     * is false, then the reverse rate of progress for reaction i is always
     * zero.
     *
     * @param i   reaction index
     */
    virtual bool isReversible(size_t i) {
        throw NotImplementedError("Kinetics::isReversible");
    }
 
    /**
     * Return a string representing the reaction.
     *
     * @param i   reaction index
     */
    std::string reactionString(size_t i) const;
 
    //! Returns a string containing the reactants side of the reaction equation.
    std::string reactantString(size_t i) const;
 
    //! Returns a string containing the products side of the reaction equation.
    std::string productString(size_t i) const;
 
    /**
     * Return the forward rate constants
     *
     * The computed values include all temperature-dependent, pressure-dependent,
     * and third body contributions. Length is the number of reactions. Units are
     * a combination of kmol, m^3 and s, that depend on the rate expression for
     * the reaction.
     *
     * @param kfwd    Output vector containing the forward reaction rate
     *                constants. Length: nReactions().
     *
     * @deprecated  Behavior to change after Cantera 2.6; for Cantera 2.6, rate
     *              constants of three-body reactions are multiplied with third-body
     *              concentrations (no change to legacy behavior). After Cantera 2.6,
     *              results will no longer include third-body concentrations and be
     *              consistent with conventional definitions (see Eq. 9.75 in
     *              Kee, Coltrin and Glarborg, 'Chemically Reacting Flow', Wiley
     *              Interscience, 2003).
     *              For new behavior, set 'Cantera::use_legacy_rate_constants(false)'.
     */
    virtual void getFwdRateConstants(double* kfwd) {
        throw NotImplementedError("Kinetics::getFwdRateConstants");
    }
 
    /**
     * Return the reverse rate constants.
     *
     * The computed values include all temperature-dependent, pressure-dependent,
     * and third body contributions. Length is the number of reactions. Units are
     * a combination of kmol, m^3 and s, that depend on the rate expression for
     * the reaction. Note, this routine will return rate constants for
     * irreversible reactions if the default for `doIrreversible` is overridden.
     *
     * @param krev   Output vector of reverse rate constants
     * @param doIrreversible boolean indicating whether irreversible reactions
     *                       should be included.
     *
     * @deprecated  Behavior to change after Cantera 2.6; for Cantera 2.6, rate
     *              constants of three-body reactions are multiplied with third-body
     *              concentrations (no change to legacy behavior). After Cantera 2.6,
     *              results will no longer include third-body concentrations and be
     *              consistent with conventional definitions (see Eq. 9.75 in
     *              Kee, Coltrin and Glarborg, 'Chemically Reacting Flow', Wiley
     *              Interscience, 2003).
     *              For new behavior, set 'Cantera::use_legacy_rate_constants(false)'.
     */
    virtual void getRevRateConstants(double* krev,
                                     bool doIrreversible = false) {
        throw NotImplementedError("Kinetics::getRevRateConstants");
    }
 
    //! @}
    //! @name Reaction Mechanism Construction
    //! @{
 
    //!  Add a phase to the kinetics manager object.
    /*!
     * This must be done before the function init() is called or before any
     * reactions are input. The following fields are updated:
     *
     *  - #m_start -> vector of integers, containing the starting position of
     *    the species for each phase in the kinetics mechanism.
     *  - #m_surfphase -> index of the surface phase.
     *  - #m_thermo -> vector of pointers to ThermoPhase phases that
     *    participate in the kinetics mechanism.
     *  - #m_phaseindex -> map containing the std::string id of each
     *    ThermoPhase phase as a key and the index of the phase within the
     *    kinetics manager object as the value.
     *
     * @param thermo    Reference to the ThermoPhase to be added.
     */
    virtual void addPhase(ThermoPhase& thermo);
 
    /**
     * Prepare the class for the addition of reactions, after all phases have
     * been added. This method is called automatically when the first reaction
     * is added. It needs to be called directly only in the degenerate case
     * where there are no reactions. The base class method does nothing, but
     * derived classes may use this to perform any initialization (allocating
     * arrays, etc.) that requires knowing the phases.
     */
    virtual void init() {}
 
    //! Return the parameters for a phase definition which are needed to
    //! reconstruct an identical object using the newKinetics function. This
    //! excludes the reaction definitions, which are handled separately.
    AnyMap parameters();
 
    /**
     * Resize arrays with sizes that depend on the total number of species.
     * Automatically called before adding each Reaction and Phase.
     */
    virtual void resizeSpecies();
 
    /**
     * Add a single reaction to the mechanism. Derived classes should call the
     * base class method in addition to handling their own specialized behavior.
     *
     * @param r       Pointer to the Reaction object to be added.
     * @param resize  If `true`, resizeReactions is called after reaction is added.
     * @return `true` if the reaction is added or `false` if it was skipped
     */
    virtual bool addReaction(shared_ptr<Reaction> r, bool resize=true);
 
    /**
     * Modify the rate expression associated with a reaction. The
     * stoichiometric equation, type of the reaction, reaction orders, third
     * body efficiencies, reversibility, etc. must be unchanged.
     *
     * @param i    Index of the reaction to be modified
     * @param rNew Reaction with the new rate expressions
     */
    virtual void modifyReaction(size_t i, shared_ptr<Reaction> rNew);
 
    /**
     * Return the Reaction object for reaction *i*. Changes to this object do
     * not affect the Kinetics object until the #modifyReaction function is
     * called.
     */
    shared_ptr<Reaction> reaction(size_t i);
 
    shared_ptr<const Reaction> reaction(size_t i) const;
 
    //! Determine behavior when adding a new reaction that contains species not
    //! defined in any of the phases associated with this kinetics manager. If
    //! set to true, the reaction will silently be ignored. If false, (the
    //! default) an exception will be raised.
    void skipUndeclaredSpecies(bool skip) {
        m_skipUndeclaredSpecies = skip;
    }
    bool skipUndeclaredSpecies() const {
        return m_skipUndeclaredSpecies;
    }
 
    //! Determine behavior when adding a new reaction that contains third-body
    //! efficiencies for species not defined in any of the phases associated
    //! with this kinetics manager. If set to true, the given third-body
    //! efficiency will be ignored. If false, (the default) an exception will be
    //! raised.
    void skipUndeclaredThirdBodies(bool skip) {
        m_skipUndeclaredThirdBodies = skip;
    }
    bool skipUndeclaredThirdBodies() const {
        return m_skipUndeclaredThirdBodies;
    }
 
    //! @}
    //! @name Altering Reaction Rates
    /*!
     * These methods alter reaction rates. They are designed primarily for
     * carrying out sensitivity analysis, but may be used for any purpose
     * requiring dynamic alteration of rate constants. For each reaction, a
     * real-valued multiplier may be defined that multiplies the reaction rate
     * coefficient. The multiplier may be set to zero to completely remove a
     * reaction from the mechanism.
     * @{
     */
 
    //! The current value of the multiplier for reaction i.
    /*!
     * @param i index of the reaction
     */
    doublereal multiplier(size_t i) const {
        return m_perturb[i];
    }
 
    //! Set the multiplier for reaction i to f.
    /*!
     *  @param i  index of the reaction
     *  @param f  value of the multiplier.
     */
    virtual void setMultiplier(size_t i, doublereal f) {
        m_perturb[i] = f;
    }
 
    virtual void invalidateCache() {};
 
    //! @}
    //! Check for unmarked duplicate reactions and unmatched marked duplicates
    /**
     * If `throw_err` is true, then an exception will be thrown if either any
     * unmarked duplicate reactions are found, or if any marked duplicate
     * reactions do not have a matching duplicate reaction. If `throw_err` is
     * false, the indices of the first pair of duplicate reactions found will be
     * returned, or the index of the unmatched duplicate will be returned as
     * both elements of the pair. If no unmarked duplicates or unmatched marked
     * duplicate reactions are found, returns `(npos, npos)`.
     */
    virtual std::pair<size_t, size_t> checkDuplicates(bool throw_err=true) const;
 
    /*!
     * Takes as input an array of properties for all species in the mechanism
     * and copies those values belonging to a particular phase to the output
     * array.
     * @param data Input data array.
     * @param phase Pointer to one of the phase objects participating in this
     *     reaction mechanism
     * @param phase_data Output array where the values for the the specified
     *     phase are to be written.
     */
    void selectPhase(const double* data, const ThermoPhase* phase,
                     double* phase_data);
 
    //! Set root Solution holding all phase information
    virtual void setRoot(std::shared_ptr<Solution> root) {
        m_root = root;
    }
 
    //! Calculate the reaction enthalpy of a reaction which
    //! has not necessarily been added into the Kinetics object
    virtual double reactionEnthalpy(const Composition& reactants,
                                    const Composition& products);
 
protected:
    //! Cache for saved calculations within each Kinetics object.
    ValueCache m_cache;
 
    // Update internal rate-of-progress variables #m_ropf and #m_ropr.
    virtual void updateROP() {
        throw NotImplementedError("Kinetics::updateROP");
    }
 
    //! Check whether `r1` and `r2` represent duplicate stoichiometries
    //! This function returns a ratio if two reactions are duplicates of
    //! one another, and 0.0 otherwise.
    /*!
     *  `r1` and `r2` are maps of species key to stoichiometric coefficient, one
     *  for each reaction, where the species key is `1+k` for reactants and
     *  `-1-k` for products and `k` is the species index.
     *
     *  @return 0.0 if the stoichiometries are not multiples of one another
     *    Otherwise, it returns the ratio of the stoichiometric coefficients.
     *
     * @ingroup kineticsmgr
     */
    double checkDuplicateStoich(std::map<int, double>& r1,
                                std::map<int, double>& r2) const;
 
    //! Check that the specified reaction is balanced (same number of atoms for
    //! each element in the reactants and products). Raises an exception if the
    //! reaction is not balanced.
    /*!
     * @deprecated To be removed in Cantera 2.6.
     *             Replaceable by Reaction::checkBalance.
     */
    void checkReactionBalance(const Reaction& R);
 
    //! @name Stoichiometry management
    /*!
     *  These objects and functions handle turning reaction extents into species
     *  production rates and also handle turning thermo properties into reaction
     *  thermo properties.
     *  @{
     */
 
    //! Stoichiometry manager for the reactants for each reaction
    StoichManagerN m_reactantStoich;
 
    //! Stoichiometry manager for the products for each reaction
    StoichManagerN m_productStoich;
 
    //! Stoichiometry manager for the products of reversible reactions
    StoichManagerN m_revProductStoich;
 
    //! Net stoichiometry (products - reactants)
    Eigen::SparseMatrix<double> m_stoichMatrix;
    //! @}
 
    //! Boolean indicating whether Kinetics object is fully configured
    bool m_ready;
 
    //! The number of species in all of the phases
    //! that participate in this kinetics mechanism.
    size_t m_kk;
 
    /// Vector of perturbation factors for each reaction's rate of
    /// progress vector. It is initialized to one.
    vector_fp m_perturb;
 
    //! Vector of Reaction objects represented by this Kinetics manager
    std::vector<shared_ptr<Reaction> > m_reactions;
 
    //! m_thermo is a vector of pointers to ThermoPhase objects that are
    //! involved with this kinetics operator
    /*!
     * For homogeneous kinetics applications, this vector will only have one
     * entry. For interfacial reactions, this vector will consist of multiple
     * entries; some of them will be surface phases, and the other ones will be
     * bulk phases. The order that the objects are listed determines the order
     * in which the species comprising each phase are listed in the source term
     * vector, originating from the reaction mechanism.
     *
     * Note that this kinetics object doesn't own these ThermoPhase objects
     * and is not responsible for creating or deleting them.
     */
    std::vector<ThermoPhase*> m_thermo;
 
    /**
     * m_start is a vector of integers specifying the beginning position for the
     * species vector for the n'th phase in the kinetics class.
     */
    std::vector<size_t> m_start;
 
    /**
     * Mapping of the phase name to the position of the phase within the
     * kinetics object. Positions start with the value of 1. The member
     * function, phaseIndex() decrements by one before returning the index
     * value, so that missing phases return -1.
     */
    std::map<std::string, size_t> m_phaseindex;
 
    //! Index in the list of phases of the one surface phase.
    size_t m_surfphase;
 
    //! Phase Index where reactions are assumed to be taking place
    /*!
     * We calculate this by assuming that the phase with the lowest
     * dimensionality is the phase where reactions are taking place.
     */
    size_t m_rxnphase;
 
    //! number of spatial dimensions of lowest-dimensional phase.
    size_t m_mindim;
 
    //! Forward rate constant for each reaction
    vector_fp m_rfn;
 
    //! Delta G^0 for all reactions
    vector_fp m_delta_gibbs0;
 
    //! Reciprocal of the equilibrium constant in concentration units
    vector_fp m_rkcn;
 
    //! Forward rate-of-progress for each reaction
    vector_fp m_ropf;
 
    //! Reverse rate-of-progress for each reaction
    vector_fp m_ropr;
 
    //! Net rate-of-progress for each reaction
    vector_fp m_ropnet;
 
    //! The enthalpy change for each reaction to calculate Blowers-Masel rates
    vector_fp m_dH;
 
    //! Buffer used for storage of intermediate reaction-specific results
    vector_fp m_rbuf;
 
    //! @see skipUndeclaredSpecies()
    bool m_skipUndeclaredSpecies;
 
    //! @see skipUndeclaredThirdBodies()
    bool m_skipUndeclaredThirdBodies;
 
    //! reference to Solution
    std::weak_ptr<Solution> m_root;
};
 
}
 
#endif