Examples with MathException cbit.vcell.math.MathException used on opensource projects

Example 6 with MathException

use of cbit.vcell.math.MathException in project vcell by virtualcell.

the class ParticleMathMapping method refreshMathDescription.

/**
 * This method was created in VisualAge.
 */
private void refreshMathDescription() throws MappingException, MatrixException, MathException, ExpressionException, ModelException {
    getSimulationContext().checkValidity();
    if (getSimulationContext().getGeometry().getDimension() == 0) {
        throw new MappingException("particle math mapping requires spatial geometry - dimension >= 1");
    }
    StructureMapping[] structureMappings = getSimulationContext().getGeometryContext().getStructureMappings();
    for (int i = 0; i < structureMappings.length; i++) {
        if (structureMappings[i] instanceof MembraneMapping) {
            if (((MembraneMapping) structureMappings[i]).getCalculateVoltage()) {
                throw new MappingException("electric potential not yet supported for particle models");
            }
        }
    }
    // 
    // fail if any events
    // 
    BioEvent[] bioEvents = getSimulationContext().getBioEvents();
    if (bioEvents != null && bioEvents.length > 0) {
        throw new MappingException("events not yet supported for particle-based models");
    }
    // 
    // gather only those reactionSteps that are not "excluded"
    // 
    ReactionSpec[] reactionSpecs = getSimulationContext().getReactionContext().getReactionSpecs();
    Vector<ReactionStep> rsList = new Vector<ReactionStep>();
    for (int i = 0; i < reactionSpecs.length; i++) {
        if (reactionSpecs[i].isExcluded() == false) {
            if (reactionSpecs[i].isFast()) {
                throw new MappingException("fast reactions not supported for particle models");
            }
            rsList.add(reactionSpecs[i].getReactionStep());
        }
    }
    ReactionStep[] reactionSteps = new ReactionStep[rsList.size()];
    rsList.copyInto(reactionSteps);
    // 
    for (int i = 0; i < reactionSteps.length; i++) {
        Kinetics.UnresolvedParameter[] unresolvedParameters = reactionSteps[i].getKinetics().getUnresolvedParameters();
        if (unresolvedParameters != null && unresolvedParameters.length > 0) {
            StringBuffer buffer = new StringBuffer();
            for (int j = 0; j < unresolvedParameters.length; j++) {
                if (j > 0) {
                    buffer.append(", ");
                }
                buffer.append(unresolvedParameters[j].getName());
            }
            throw new MappingException(reactionSteps[i].getDisplayType() + " '" + reactionSteps[i].getName() + "' contains unresolved identifier(s): " + buffer);
        }
    }
    // 
    // temporarily place all variables in a hashtable (before binding) and discarding duplicates (check for equality)
    // 
    VariableHash varHash = new VariableHash();
    // //
    // // verify that all structures are mapped to geometry classes and all geometry classes are mapped to a structure
    // //
    // Structure structures[] = getSimulationContext().getGeometryContext().getModel().getStructures();
    // for (int i = 0; i < structures.length; i++){
    // StructureMapping sm = getSimulationContext().getGeometryContext().getStructureMapping(structures[i]);
    // if (sm==null || (sm.getGeometryClass() == null)){
    // throw new MappingException("model structure '"+structures[i].getName()+"' not mapped to a geometry subdomain");
    // }
    // if (sm.getUnitSizeParameter()!=null){
    // Expression unitSizeExp = sm.getUnitSizeParameter().getExpression();
    // if(unitSizeExp != null)
    // {
    // try {
    // double unitSize = unitSizeExp.evaluateConstant();
    // if (unitSize != 1.0){
    // throw new MappingException("model structure '"+sm.getStructure().getName()+"' unit size = "+unitSize+" != 1.0 ... partial volume or surface mapping not yet supported for particles");
    // }
    // }catch (ExpressionException e){
    // e.printStackTrace(System.out);
    // throw new MappingException("couldn't evaluate unit size for model structure '"+sm.getStructure().getName()+"' : "+e.getMessage());
    // }
    // }
    // }
    // }
    // {
    // GeometryClass[] geometryClass = getSimulationContext().getGeometryContext().getGeometry().getGeometryClasses();
    // for (int i = 0; i < geometryClass.length; i++){
    // Structure[] mappedStructures = getSimulationContext().getGeometryContext().getStructuresFromGeometryClass(geometryClass[i]);
    // if (mappedStructures==null || mappedStructures.length==0){
    // throw new MappingException("geometryClass '"+geometryClass[i].getName()+"' not mapped from a model structure");
    // }
    // }
    // }
    // deals with model parameters
    Model model = getSimulationContext().getModel();
    ModelUnitSystem modelUnitSystem = model.getUnitSystem();
    ModelParameter[] modelParameters = model.getModelParameters();
    // populate in globalParameterVariants hashtable
    for (int j = 0; j < modelParameters.length; j++) {
        Expression modelParamExpr = modelParameters[j].getExpression();
        GeometryClass geometryClass = getDefaultGeometryClass(modelParamExpr);
        modelParamExpr = getIdentifierSubstitutions(modelParamExpr, modelParameters[j].getUnitDefinition(), geometryClass);
        varHash.addVariable(newFunctionOrConstant(getMathSymbol(modelParameters[j], geometryClass), modelParamExpr, geometryClass));
    }
    // 
    // create new MathDescription (based on simContext's previous MathDescription if possible)
    // 
    MathDescription oldMathDesc = getSimulationContext().getMathDescription();
    mathDesc = null;
    if (oldMathDesc != null) {
        if (oldMathDesc.getVersion() != null) {
            mathDesc = new MathDescription(oldMathDesc.getVersion());
        } else {
            mathDesc = new MathDescription(oldMathDesc.getName());
        }
    } else {
        mathDesc = new MathDescription(getSimulationContext().getName() + "_generated");
    }
    // 
    // volume particle variables
    // 
    Enumeration<SpeciesContextMapping> enum1 = getSpeciesContextMappings();
    while (enum1.hasMoreElements()) {
        SpeciesContextMapping scm = enum1.nextElement();
        if (scm.getVariable() instanceof ParticleVariable) {
            if (!(mathDesc.getVariable(scm.getVariable().getName()) instanceof ParticleVariable)) {
                varHash.addVariable(scm.getVariable());
            }
        }
    }
    varHash.addVariable(new Constant(getMathSymbol(model.getPI_CONSTANT(), null), getIdentifierSubstitutions(model.getPI_CONSTANT().getExpression(), model.getPI_CONSTANT().getUnitDefinition(), null)));
    varHash.addVariable(new Constant(getMathSymbol(model.getFARADAY_CONSTANT(), null), getIdentifierSubstitutions(model.getFARADAY_CONSTANT().getExpression(), model.getFARADAY_CONSTANT().getUnitDefinition(), null)));
    varHash.addVariable(new Constant(getMathSymbol(model.getFARADAY_CONSTANT_NMOLE(), null), getIdentifierSubstitutions(model.getFARADAY_CONSTANT_NMOLE().getExpression(), model.getFARADAY_CONSTANT_NMOLE().getUnitDefinition(), null)));
    varHash.addVariable(new Constant(getMathSymbol(model.getGAS_CONSTANT(), null), getIdentifierSubstitutions(model.getGAS_CONSTANT().getExpression(), model.getGAS_CONSTANT().getUnitDefinition(), null)));
    varHash.addVariable(new Constant(getMathSymbol(model.getTEMPERATURE(), null), getIdentifierSubstitutions(new Expression(getSimulationContext().getTemperatureKelvin()), model.getTEMPERATURE().getUnitDefinition(), null)));
    // 
    for (int j = 0; j < structureMappings.length; j++) {
        if (structureMappings[j] instanceof MembraneMapping) {
            MembraneMapping membraneMapping = (MembraneMapping) structureMappings[j];
            GeometryClass geometryClass = membraneMapping.getGeometryClass();
            // 
            // don't calculate voltage, still may need it though
            // 
            Parameter initialVoltageParm = membraneMapping.getInitialVoltageParameter();
            Variable voltageFunction = newFunctionOrConstant(getMathSymbol(membraneMapping.getMembrane().getMembraneVoltage(), geometryClass), getIdentifierSubstitutions(initialVoltageParm.getExpression(), initialVoltageParm.getUnitDefinition(), geometryClass), geometryClass);
            varHash.addVariable(voltageFunction);
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(membraneMapping.getMembrane().getMembraneVoltage(), membraneMapping.getGeometryClass()), getIdentifierSubstitutions(membraneMapping.getInitialVoltageParameter().getExpression(), membraneMapping.getInitialVoltageParameter().getUnitDefinition(), membraneMapping.getGeometryClass()), membraneMapping.getGeometryClass()));
        }
    }
    // 
    for (int j = 0; j < reactionSteps.length; j++) {
        ReactionStep rs = reactionSteps[j];
        if (getSimulationContext().getReactionContext().getReactionSpec(rs).isExcluded()) {
            continue;
        }
        Kinetics.KineticsParameter[] parameters = rs.getKinetics().getKineticsParameters();
        GeometryClass geometryClass = null;
        if (rs.getStructure() != null) {
            geometryClass = getSimulationContext().getGeometryContext().getStructureMapping(rs.getStructure()).getGeometryClass();
        }
        if (parameters != null) {
            for (int i = 0; i < parameters.length; i++) {
                // Reaction rate, currentDensity, LumpedCurrent and null parameters are not going to displayed in the particle math description.
                if (((parameters[i].getRole() == Kinetics.ROLE_CurrentDensity) || (parameters[i].getRole() == Kinetics.ROLE_LumpedCurrent) || (parameters[i].getRole() == Kinetics.ROLE_ReactionRate)) || (parameters[i].getExpression() == null)) {
                    continue;
                }
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(parameters[i], geometryClass), getIdentifierSubstitutions(parameters[i].getExpression(), parameters[i].getUnitDefinition(), geometryClass), geometryClass));
            }
        }
    }
    // 
    // initial constants (either function or constant)
    // 
    SpeciesContextSpec[] speciesContextSpecs = getSimulationContext().getReactionContext().getSpeciesContextSpecs();
    for (int i = 0; i < speciesContextSpecs.length; i++) {
        SpeciesContextSpecParameter initParm = null;
        Expression initExpr = null;
        if (getSimulationContext().isUsingConcentration()) {
            initParm = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_InitialConcentration);
            initExpr = new Expression(initParm.getExpression());
        // if (speciesContextSpecs[i].getSpeciesContext().getStructure() instanceof Feature) {
        // initExpr = Expression.div(initExpr, new Expression(model.getKMOLE, getNameScope())).flatten();
        // }
        } else {
            initParm = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_InitialCount);
            initExpr = new Expression(initParm.getExpression());
        }
        if (initExpr != null) {
            StructureMapping sm = getSimulationContext().getGeometryContext().getStructureMapping(speciesContextSpecs[i].getSpeciesContext().getStructure());
            String[] symbols = initExpr.getSymbols();
            // Check if 'initExpr' has other speciesContexts in its expression, need to replace it with 'spContext_init'
            for (int j = 0; symbols != null && j < symbols.length; j++) {
                // if symbol is a speciesContext, replacing it with a reference to initial condition for that speciesContext.
                SpeciesContext spC = null;
                SymbolTableEntry ste = initExpr.getSymbolBinding(symbols[j]);
                if (ste instanceof SpeciesContextSpecProxyParameter) {
                    SpeciesContextSpecProxyParameter spspp = (SpeciesContextSpecProxyParameter) ste;
                    if (spspp.getTarget() instanceof SpeciesContext) {
                        spC = (SpeciesContext) spspp.getTarget();
                        SpeciesContextSpec spcspec = getSimulationContext().getReactionContext().getSpeciesContextSpec(spC);
                        SpeciesContextSpecParameter spCInitParm = spcspec.getParameterFromRole(SpeciesContextSpec.ROLE_InitialConcentration);
                        // if initConc param expression is null, try initCount
                        if (spCInitParm.getExpression() == null) {
                            spCInitParm = spcspec.getParameterFromRole(SpeciesContextSpec.ROLE_InitialCount);
                        }
                        // need to get init condn expression, but can't get it from getMathSymbol() (mapping between bio and math), hence get it as below.
                        Expression scsInitExpr = new Expression(spCInitParm, getNameScope());
                        // scsInitExpr.bindExpression(this);
                        initExpr.substituteInPlace(new Expression(spC.getName()), scsInitExpr);
                    }
                }
            }
            // now create the appropriate function for the current speciesContextSpec.
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(initParm, sm.getGeometryClass()), getIdentifierSubstitutions(initExpr, initParm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
    }
    // 
    for (int i = 0; i < speciesContextSpecs.length; i++) {
        SpeciesContextSpec.SpeciesContextSpecParameter diffParm = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_DiffusionRate);
        if (diffParm != null) {
            StructureMapping sm = getSimulationContext().getGeometryContext().getStructureMapping(speciesContextSpecs[i].getSpeciesContext().getStructure());
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(diffParm, sm.getGeometryClass()), getIdentifierSubstitutions(diffParm.getExpression(), diffParm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
    }
    // 
    for (int i = 0; i < speciesContextSpecs.length; i++) {
        SpeciesContextSpec.SpeciesContextSpecParameter bc_xm = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_BoundaryValueXm);
        StructureMapping sm = getSimulationContext().getGeometryContext().getStructureMapping(speciesContextSpecs[i].getSpeciesContext().getStructure());
        if (bc_xm != null && (bc_xm.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(bc_xm, sm.getGeometryClass()), getIdentifierSubstitutions(bc_xm.getExpression(), bc_xm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
        SpeciesContextSpec.SpeciesContextSpecParameter bc_xp = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_BoundaryValueXp);
        if (bc_xp != null && (bc_xp.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(bc_xp, sm.getGeometryClass()), getIdentifierSubstitutions(bc_xp.getExpression(), bc_xp.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
        SpeciesContextSpec.SpeciesContextSpecParameter bc_ym = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_BoundaryValueYm);
        if (bc_ym != null && (bc_ym.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(bc_ym, sm.getGeometryClass()), getIdentifierSubstitutions(bc_ym.getExpression(), bc_ym.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
        SpeciesContextSpec.SpeciesContextSpecParameter bc_yp = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_BoundaryValueYp);
        if (bc_yp != null && (bc_yp.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(bc_yp, sm.getGeometryClass()), getIdentifierSubstitutions(bc_yp.getExpression(), bc_yp.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
        SpeciesContextSpec.SpeciesContextSpecParameter bc_zm = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_BoundaryValueZm);
        if (bc_zm != null && (bc_zm.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(bc_zm, sm.getGeometryClass()), getIdentifierSubstitutions(bc_zm.getExpression(), bc_zm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
        SpeciesContextSpec.SpeciesContextSpecParameter bc_zp = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_BoundaryValueZp);
        if (bc_zp != null && (bc_zp.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(bc_zp, sm.getGeometryClass()), getIdentifierSubstitutions(bc_zp.getExpression(), bc_zp.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
    }
    // 
    for (int i = 0; i < speciesContextSpecs.length; i++) {
        SpeciesContextSpec.SpeciesContextSpecParameter advection_velX = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_VelocityX);
        StructureMapping sm = getSimulationContext().getGeometryContext().getStructureMapping(speciesContextSpecs[i].getSpeciesContext().getStructure());
        GeometryClass geometryClass = sm.getGeometryClass();
        if (advection_velX != null && (advection_velX.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(advection_velX, geometryClass), getIdentifierSubstitutions(advection_velX.getExpression(), advection_velX.getUnitDefinition(), geometryClass), geometryClass));
        }
        SpeciesContextSpec.SpeciesContextSpecParameter advection_velY = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_VelocityY);
        if (advection_velY != null && (advection_velY.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(advection_velY, geometryClass), getIdentifierSubstitutions(advection_velY.getExpression(), advection_velY.getUnitDefinition(), geometryClass), geometryClass));
        }
        SpeciesContextSpec.SpeciesContextSpecParameter advection_velZ = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_VelocityZ);
        if (advection_velZ != null && (advection_velZ.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(advection_velZ, geometryClass), getIdentifierSubstitutions(advection_velZ.getExpression(), advection_velZ.getUnitDefinition(), geometryClass), geometryClass));
        }
    }
    // 
    // constant species (either function or constant)
    // 
    enum1 = getSpeciesContextMappings();
    while (enum1.hasMoreElements()) {
        SpeciesContextMapping scm = (SpeciesContextMapping) enum1.nextElement();
        if (scm.getVariable() instanceof Constant) {
            varHash.addVariable(scm.getVariable());
        }
    }
    // 
    // conversion factors
    // 
    varHash.addVariable(new Constant(getMathSymbol(model.getKMOLE(), null), getIdentifierSubstitutions(model.getKMOLE().getExpression(), model.getKMOLE().getUnitDefinition(), null)));
    varHash.addVariable(new Constant(getMathSymbol(model.getN_PMOLE(), null), getIdentifierSubstitutions(model.getN_PMOLE().getExpression(), model.getN_PMOLE().getUnitDefinition(), null)));
    varHash.addVariable(new Constant(getMathSymbol(model.getKMILLIVOLTS(), null), getIdentifierSubstitutions(model.getKMILLIVOLTS().getExpression(), model.getKMILLIVOLTS().getUnitDefinition(), null)));
    varHash.addVariable(new Constant(getMathSymbol(model.getK_GHK(), null), getIdentifierSubstitutions(model.getK_GHK().getExpression(), model.getK_GHK().getUnitDefinition(), null)));
    // 
    for (int i = 0; i < structureMappings.length; i++) {
        StructureMapping sm = structureMappings[i];
        if (getSimulationContext().getGeometry().getDimension() == 0) {
            StructureMappingParameter sizeParm = sm.getSizeParameter();
            if (sizeParm != null && sizeParm.getExpression() != null) {
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(sizeParm, sm.getGeometryClass()), getIdentifierSubstitutions(sizeParm.getExpression(), sizeParm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
            } else {
                if (sm instanceof MembraneMapping) {
                    MembraneMapping mm = (MembraneMapping) sm;
                    StructureMappingParameter volFrac = mm.getVolumeFractionParameter();
                    if (volFrac != null && volFrac.getExpression() != null) {
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(volFrac, sm.getGeometryClass()), getIdentifierSubstitutions(volFrac.getExpression(), volFrac.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
                    }
                    StructureMappingParameter surfToVol = mm.getSurfaceToVolumeParameter();
                    if (surfToVol != null && surfToVol.getExpression() != null) {
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(surfToVol, sm.getGeometryClass()), getIdentifierSubstitutions(surfToVol.getExpression(), surfToVol.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
                    }
                }
            }
        } else {
            Parameter parm = sm.getParameterFromRole(StructureMapping.ROLE_AreaPerUnitArea);
            if (parm != null && parm.getExpression() != null && sm.getGeometryClass() instanceof SurfaceClass) {
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(parm, sm.getGeometryClass()), getIdentifierSubstitutions(parm.getExpression(), parm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
            }
            parm = sm.getParameterFromRole(StructureMapping.ROLE_AreaPerUnitVolume);
            if (parm != null && parm.getExpression() != null && sm.getGeometryClass() instanceof SubVolume) {
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(parm, sm.getGeometryClass()), getIdentifierSubstitutions(parm.getExpression(), parm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
            }
            parm = sm.getParameterFromRole(StructureMapping.ROLE_VolumePerUnitArea);
            if (parm != null && parm.getExpression() != null && sm.getGeometryClass() instanceof SurfaceClass) {
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(parm, sm.getGeometryClass()), getIdentifierSubstitutions(parm.getExpression(), parm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
            }
            parm = sm.getParameterFromRole(StructureMapping.ROLE_VolumePerUnitVolume);
            if (parm != null && parm.getExpression() != null && sm.getGeometryClass() instanceof SubVolume) {
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(parm, sm.getGeometryClass()), getIdentifierSubstitutions(parm.getExpression(), parm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
            }
            parm = sm.getParameterFromRole(StructureMapping.ROLE_Size);
            if (parm != null && parm.getExpression() != null) {
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(parm, sm.getGeometryClass()), getIdentifierSubstitutions(parm.getExpression(), parm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
            }
        }
    }
    // 
    // functions
    // 
    enum1 = getSpeciesContextMappings();
    while (enum1.hasMoreElements()) {
        SpeciesContextMapping scm = (SpeciesContextMapping) enum1.nextElement();
        if (scm.getVariable() == null && scm.getDependencyExpression() != null) {
            StructureMapping sm = getSimulationContext().getGeometryContext().getStructureMapping(scm.getSpeciesContext().getStructure());
            Variable dependentVariable = newFunctionOrConstant(getMathSymbol(scm.getSpeciesContext(), sm.getGeometryClass()), getIdentifierSubstitutions(scm.getDependencyExpression(), scm.getSpeciesContext().getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass());
            dependentVariable.setDomain(new Domain(sm.getGeometryClass()));
            varHash.addVariable(dependentVariable);
        }
    }
    // 
    for (int i = 0; i < fieldMathMappingParameters.length; i++) {
        if (fieldMathMappingParameters[i] instanceof UnitFactorParameter) {
            GeometryClass geometryClass = fieldMathMappingParameters[i].getGeometryClass();
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(fieldMathMappingParameters[i], geometryClass), getIdentifierSubstitutions(fieldMathMappingParameters[i].getExpression(), fieldMathMappingParameters[i].getUnitDefinition(), geometryClass), fieldMathMappingParameters[i].getGeometryClass()));
        }
    }
    // 
    // set Variables to MathDescription all at once with the order resolved by "VariableHash"
    // 
    mathDesc.setAllVariables(varHash.getAlphabeticallyOrderedVariables());
    // 
    if (getSimulationContext().getGeometryContext().getGeometry() != null) {
        try {
            mathDesc.setGeometry(getSimulationContext().getGeometryContext().getGeometry());
        } catch (java.beans.PropertyVetoException e) {
            e.printStackTrace(System.out);
            throw new MappingException("failure setting geometry " + e.getMessage());
        }
    } else {
        throw new MappingException("geometry must be defined");
    }
    // 
    // create subdomains (volume and surfaces)
    // 
    GeometryClass[] geometryClasses = getSimulationContext().getGeometryContext().getGeometry().getGeometryClasses();
    for (int k = 0; k < geometryClasses.length; k++) {
        if (geometryClasses[k] instanceof SubVolume) {
            SubVolume subVolume = (SubVolume) geometryClasses[k];
            // 
            // get priority of subDomain
            // 
            // now does not have to match spatial feature, *BUT* needs to be unique
            int priority = k;
            // 
            // create subDomain
            // 
            CompartmentSubDomain subDomain = new CompartmentSubDomain(subVolume.getName(), priority);
            mathDesc.addSubDomain(subDomain);
            // 
            // assign boundary condition types
            // 
            StructureMapping[] mappedSMs = getSimulationContext().getGeometryContext().getStructureMappings(subVolume);
            FeatureMapping mappedFM = null;
            for (int i = 0; i < mappedSMs.length; i++) {
                if (mappedSMs[i] instanceof FeatureMapping) {
                    if (mappedFM != null) {
                        lg.warn("WARNING:::: MathMapping.refreshMathDescription() ... assigning boundary condition types not unique");
                    }
                    mappedFM = (FeatureMapping) mappedSMs[i];
                }
            }
            if (mappedFM != null) {
                subDomain.setBoundaryConditionXm(mappedFM.getBoundaryConditionTypeXm());
                subDomain.setBoundaryConditionXp(mappedFM.getBoundaryConditionTypeXp());
                if (getSimulationContext().getGeometry().getDimension() > 1) {
                    subDomain.setBoundaryConditionYm(mappedFM.getBoundaryConditionTypeYm());
                    subDomain.setBoundaryConditionYp(mappedFM.getBoundaryConditionTypeYp());
                }
                if (getSimulationContext().getGeometry().getDimension() > 2) {
                    subDomain.setBoundaryConditionZm(mappedFM.getBoundaryConditionTypeZm());
                    subDomain.setBoundaryConditionZp(mappedFM.getBoundaryConditionTypeZp());
                }
            }
        } else if (geometryClasses[k] instanceof SurfaceClass) {
            SurfaceClass surfaceClass = (SurfaceClass) geometryClasses[k];
            // determine membrane inside and outside subvolume
            // this preserves backward compatibility so that membrane subdomain
            // inside and outside correspond to structure hierarchy when present
            Pair<SubVolume, SubVolume> ret = DiffEquMathMapping.computeBoundaryConditionSource(model, simContext, surfaceClass);
            SubVolume innerSubVolume = ret.one;
            SubVolume outerSubVolume = ret.two;
            // 
            // create subDomain
            // 
            CompartmentSubDomain outerCompartment = mathDesc.getCompartmentSubDomain(outerSubVolume.getName());
            CompartmentSubDomain innerCompartment = mathDesc.getCompartmentSubDomain(innerSubVolume.getName());
            MembraneSubDomain memSubDomain = new MembraneSubDomain(innerCompartment, outerCompartment, surfaceClass.getName());
            mathDesc.addSubDomain(memSubDomain);
        }
    }
    // 
    // create Particle Contexts for all Particle Variables
    // 
    Enumeration<SpeciesContextMapping> enumSCM = getSpeciesContextMappings();
    Expression unitFactor = getUnitFactor(modelUnitSystem.getStochasticSubstanceUnit().divideBy(modelUnitSystem.getVolumeSubstanceUnit()));
    while (enumSCM.hasMoreElements()) {
        SpeciesContextMapping scm = enumSCM.nextElement();
        SpeciesContext sc = scm.getSpeciesContext();
        StructureMapping sm = getSimulationContext().getGeometryContext().getStructureMapping(sc.getStructure());
        SpeciesContextSpec scs = getSimulationContext().getReactionContext().getSpeciesContextSpec(sc);
        if (scm.getVariable() instanceof ParticleVariable && scm.getDependencyExpression() == null) {
            ParticleVariable particleVariable = (ParticleVariable) scm.getVariable();
            // 
            // initial distribution of particles
            // 
            ArrayList<ParticleInitialCondition> particleInitialConditions = new ArrayList<ParticleInitialCondition>();
            ParticleInitialCondition pic = null;
            if (getSimulationContext().isUsingConcentration()) {
                Expression initialDistribution = scs.getInitialConcentrationParameter().getExpression() == null ? null : new Expression(getMathSymbol(scs.getInitialConcentrationParameter(), sm.getGeometryClass()));
                if (particleVariable instanceof VolumeParticleVariable) {
                    initialDistribution = Expression.mult(initialDistribution, unitFactor);
                }
                pic = new ParticleInitialConditionConcentration(initialDistribution);
            } else {
                Expression initialCount = scs.getInitialCountParameter().getExpression() == null ? null : new Expression(getMathSymbol(scs.getInitialCountParameter(), sm.getGeometryClass()));
                if (initialCount == null) {
                    throw new MappingException("initialCount not defined for speciesContext " + scs.getSpeciesContext().getName());
                }
                Expression locationX = new Expression("u");
                Expression locationY = new Expression("u");
                Expression locationZ = new Expression("u");
                pic = new ParticleInitialConditionCount(initialCount, locationX, locationY, locationZ);
            }
            particleInitialConditions.add(pic);
            // 
            // diffusion
            // 
            Expression diffusion = new Expression(getMathSymbol(scs.getDiffusionParameter(), sm.getGeometryClass()));
            Expression driftXExp = null;
            if (scs.getVelocityXParameter().getExpression() != null) {
                driftXExp = new Expression(getMathSymbol(scs.getVelocityXParameter(), sm.getGeometryClass()));
            } else {
                SpatialQuantity[] velX_quantities = scs.getVelocityQuantities(QuantityComponent.X);
                if (velX_quantities.length > 0) {
                    int numRegions = simContext.getGeometry().getGeometrySurfaceDescription().getGeometricRegions(sm.getGeometryClass()).length;
                    if (velX_quantities.length == 1 && numRegions == 1) {
                        driftXExp = new Expression(getMathSymbol(velX_quantities[0], sm.getGeometryClass()));
                    } else {
                        throw new MappingException("multiple advection velocities enabled set for multiple volume domains ");
                    }
                }
            }
            Expression driftYExp = null;
            if (scs.getVelocityYParameter().getExpression() != null) {
                driftYExp = new Expression(getMathSymbol(scs.getVelocityYParameter(), sm.getGeometryClass()));
            } else {
                SpatialQuantity[] velY_quantities = scs.getVelocityQuantities(QuantityComponent.Y);
                if (velY_quantities.length > 0) {
                    int numRegions = simContext.getGeometry().getGeometrySurfaceDescription().getGeometricRegions(sm.getGeometryClass()).length;
                    if (velY_quantities.length == 1 && numRegions == 1) {
                        driftYExp = new Expression(getMathSymbol(velY_quantities[0], sm.getGeometryClass()));
                    } else {
                        throw new MappingException("multiple advection velocities enabled set for multiple volume domains ");
                    }
                }
            }
            Expression driftZExp = null;
            if (scs.getVelocityZParameter().getExpression() != null) {
                driftZExp = new Expression(getMathSymbol(scs.getVelocityZParameter(), sm.getGeometryClass()));
            } else {
                SpatialQuantity[] velZ_quantities = scs.getVelocityQuantities(QuantityComponent.Z);
                if (velZ_quantities.length > 0) {
                    int numRegions = simContext.getGeometry().getGeometrySurfaceDescription().getGeometricRegions(sm.getGeometryClass()).length;
                    if (velZ_quantities.length == 1 && numRegions == 1) {
                        driftZExp = new Expression(getMathSymbol(velZ_quantities[0], sm.getGeometryClass()));
                    } else {
                        throw new MappingException("multiple advection velocities enabled set for multiple volume domains ");
                    }
                }
            }
            ParticleProperties particleProperties = new ParticleProperties(particleVariable, diffusion, driftXExp, driftYExp, driftZExp, particleInitialConditions);
            GeometryClass myGC = sm.getGeometryClass();
            if (myGC == null) {
                throw new MappingException("Application '" + getSimulationContext().getName() + "'\nGeometry->StructureMapping->(" + sm.getStructure().getTypeName() + ")'" + sm.getStructure().getName() + "' must be mapped to geometry domain.\n(see 'Problems' tab)");
            }
            SubDomain subDomain = mathDesc.getSubDomain(myGC.getName());
            subDomain.addParticleProperties(particleProperties);
        }
    }
    for (ReactionStep reactionStep : reactionSteps) {
        Kinetics kinetics = reactionStep.getKinetics();
        StructureMapping sm = getSimulationContext().getGeometryContext().getStructureMapping(reactionStep.getStructure());
        GeometryClass reactionStepGeometryClass = sm.getGeometryClass();
        SubDomain subdomain = mathDesc.getSubDomain(reactionStepGeometryClass.getName());
        KineticsParameter reactionRateParameter = null;
        if (kinetics instanceof LumpedKinetics) {
            reactionRateParameter = ((LumpedKinetics) kinetics).getLumpedReactionRateParameter();
        } else {
            reactionRateParameter = ((DistributedKinetics) kinetics).getReactionRateParameter();
        }
        // macroscopic_irreversible/Microscopic_irreversible for bimolecular membrane reactions. They will NOT go through MassAction solver.
        if (kinetics.getKineticsDescription().equals(KineticsDescription.Macroscopic_irreversible) || kinetics.getKineticsDescription().equals(KineticsDescription.Microscopic_irreversible)) {
            Expression radiusExp = getIdentifierSubstitutions(reactionStep.getKinetics().getKineticsParameterFromRole(Kinetics.ROLE_Binding_Radius).getExpression(), modelUnitSystem.getBindingRadiusUnit(), reactionStepGeometryClass);
            if (radiusExp != null) {
                Expression expCopy = new Expression(radiusExp);
                try {
                    MassActionSolver.substituteParameters(expCopy, true).evaluateConstant();
                } catch (ExpressionException e) {
                    throw new MathException(VCellErrorMessages.getMassActionSolverMessage(reactionStep.getName(), "Problem in binding radius of " + reactionStep.getName() + ":  '" + radiusExp.infix() + "', " + e.getMessage()));
                }
            } else {
                throw new MathException(VCellErrorMessages.getMassActionSolverMessage(reactionStep.getName(), "Binding radius of " + reactionStep.getName() + " is null."));
            }
            List<ParticleVariable> reactantParticles = new ArrayList<ParticleVariable>();
            List<ParticleVariable> productParticles = new ArrayList<ParticleVariable>();
            List<Action> forwardActions = new ArrayList<Action>();
            for (ReactionParticipant rp : reactionStep.getReactionParticipants()) {
                SpeciesContext sc = rp.getSpeciesContext();
                SpeciesContextSpec scs = getSimulationContext().getReactionContext().getSpeciesContextSpec(sc);
                GeometryClass scGeometryClass = getSimulationContext().getGeometryContext().getStructureMapping(sc.getStructure()).getGeometryClass();
                String varName = getMathSymbol(sc, scGeometryClass);
                Variable var = mathDesc.getVariable(varName);
                if (var instanceof ParticleVariable) {
                    ParticleVariable particle = (ParticleVariable) var;
                    if (rp instanceof Reactant) {
                        reactantParticles.add(particle);
                        if (!scs.isConstant() && !scs.isForceContinuous()) {
                            for (int i = 0; i < Math.abs(rp.getStoichiometry()); i++) {
                                if (radiusExp != null) {
                                    forwardActions.add(Action.createDestroyAction(particle));
                                }
                            }
                        }
                    } else if (rp instanceof Product) {
                        productParticles.add(particle);
                        if (!scs.isConstant() && !scs.isForceContinuous()) {
                            for (int i = 0; i < Math.abs(rp.getStoichiometry()); i++) {
                                if (radiusExp != null) {
                                    forwardActions.add(Action.createCreateAction(particle));
                                }
                            }
                        }
                    }
                } else {
                    throw new MappingException("particle variable '" + varName + "' not found");
                }
            }
            JumpProcessRateDefinition bindingRadius = new InteractionRadius(radiusExp);
            // get jump process name
            String jpName = TokenMangler.mangleToSName(reactionStep.getName());
            // only for NFSim/Rules for now.
            ProcessSymmetryFactor processSymmetryFactor = null;
            if (forwardActions.size() > 0) {
                ParticleJumpProcess forwardProcess = new ParticleJumpProcess(jpName, reactantParticles, bindingRadius, forwardActions, processSymmetryFactor);
                subdomain.addParticleJumpProcess(forwardProcess);
            }
        } else // other type of reactions
        {
            /* check the reaction rate law to see if we need to decompose a reaction(reversible) into two jump processes.
			   rate constants are important in calculating the probability rate.
			   for Mass Action, we use KForward and KReverse, 
			   for General Kinetics we parse reaction rate J to see if it is in Mass Action form.
			 */
            Expression forwardRate = null;
            Expression reverseRate = null;
            // Using the MassActionFunction to write out the math description
            MassActionSolver.MassActionFunction maFunc = null;
            if (kinetics.getKineticsDescription().equals(KineticsDescription.MassAction) || kinetics.getKineticsDescription().equals(KineticsDescription.General) || kinetics.getKineticsDescription().equals(KineticsDescription.GeneralPermeability)) {
                Expression rateExp = kinetics.getKineticsParameterFromRole(Kinetics.ROLE_ReactionRate).getExpression();
                Parameter forwardRateParameter = null;
                Parameter reverseRateParameter = null;
                if (kinetics.getKineticsDescription().equals(KineticsDescription.MassAction)) {
                    forwardRateParameter = kinetics.getKineticsParameterFromRole(Kinetics.ROLE_KForward);
                    reverseRateParameter = kinetics.getKineticsParameterFromRole(Kinetics.ROLE_KReverse);
                } else if (kinetics.getKineticsDescription().equals(KineticsDescription.GeneralPermeability)) {
                    forwardRateParameter = kinetics.getKineticsParameterFromRole(Kinetics.ROLE_Permeability);
                    reverseRateParameter = kinetics.getKineticsParameterFromRole(Kinetics.ROLE_Permeability);
                }
                maFunc = MassActionSolver.solveMassAction(forwardRateParameter, reverseRateParameter, rateExp, reactionStep);
                if (maFunc.getForwardRate() == null && maFunc.getReverseRate() == null) {
                    throw new MappingException("Cannot generate stochastic math mapping for the reaction:" + reactionStep.getName() + "\nLooking for the rate function according to the form of k1*Reactant1^Stoir1*Reactant2^Stoir2...-k2*Product1^Stoip1*Product2^Stoip2.");
                } else {
                    if (maFunc.getForwardRate() != null) {
                        forwardRate = maFunc.getForwardRate();
                    }
                    if (maFunc.getReverseRate() != null) {
                        reverseRate = maFunc.getReverseRate();
                    }
                }
            }
            if (maFunc != null) {
                // if the reaction has forward rate (Mass action,HMMs), or don't have either forward or reverse rate (some other rate laws--like general)
                // we process it as forward reaction
                List<ParticleVariable> reactantParticles = new ArrayList<ParticleVariable>();
                List<ParticleVariable> productParticles = new ArrayList<ParticleVariable>();
                List<Action> forwardActions = new ArrayList<Action>();
                List<Action> reverseActions = new ArrayList<Action>();
                List<ReactionParticipant> reactants = maFunc.getReactants();
                List<ReactionParticipant> products = maFunc.getProducts();
                for (ReactionParticipant rp : reactants) {
                    SpeciesContext sc = rp.getSpeciesContext();
                    SpeciesContextSpec scs = getSimulationContext().getReactionContext().getSpeciesContextSpec(sc);
                    GeometryClass scGeometryClass = getSimulationContext().getGeometryContext().getStructureMapping(sc.getStructure()).getGeometryClass();
                    String varName = getMathSymbol(sc, scGeometryClass);
                    Variable var = mathDesc.getVariable(varName);
                    if (var instanceof ParticleVariable) {
                        ParticleVariable particle = (ParticleVariable) var;
                        reactantParticles.add(particle);
                        if (!scs.isConstant() && !scs.isForceContinuous()) {
                            for (int i = 0; i < Math.abs(rp.getStoichiometry()); i++) {
                                if (forwardRate != null) {
                                    forwardActions.add(Action.createDestroyAction(particle));
                                }
                                if (reverseRate != null) {
                                    reverseActions.add(Action.createCreateAction(particle));
                                }
                            }
                        }
                    } else {
                        throw new MappingException("particle variable '" + varName + "' not found");
                    }
                }
                for (ReactionParticipant rp : products) {
                    SpeciesContext sc = rp.getSpeciesContext();
                    SpeciesContextSpec scs = getSimulationContext().getReactionContext().getSpeciesContextSpec(sc);
                    GeometryClass scGeometryClass = getSimulationContext().getGeometryContext().getStructureMapping(sc.getStructure()).getGeometryClass();
                    String varName = getMathSymbol(sc, scGeometryClass);
                    Variable var = mathDesc.getVariable(varName);
                    if (var instanceof ParticleVariable) {
                        ParticleVariable particle = (ParticleVariable) var;
                        productParticles.add(particle);
                        if (!scs.isConstant() && !scs.isForceContinuous()) {
                            for (int i = 0; i < Math.abs(rp.getStoichiometry()); i++) {
                                if (forwardRate != null) {
                                    forwardActions.add(Action.createCreateAction(particle));
                                }
                                if (reverseRate != null) {
                                    reverseActions.add(Action.createDestroyAction(particle));
                                }
                            }
                        }
                    } else {
                        throw new MappingException("particle variable '" + varName + "' not found");
                    }
                }
                // 
                // There are two unit conversions required:
                // 
                // 1) convert entire reaction rate from vcell reaction units to Smoldyn units (molecules/lengthunit^dim/timeunit)
                // (where dim is 2 for membrane reactions and 3 for volume reactions)
                // 
                // for forward rates:
                // 2) convert each reactant from Smoldyn units (molecules/lengthunit^dim) to VCell units
                // (where dim is 2 for membrane reactants and 3 for volume reactants)
                // 
                // or
                // 
                // for reverse rates:
                // 2) convert each product from Smoldyn units (molecules/lengthunit^dim) to VCell units
                // (where dim is 2 for membrane products and 3 for volume products)
                // 
                RationalNumber reactionLocationDim = new RationalNumber(reactionStep.getStructure().getDimension());
                VCUnitDefinition timeUnit = modelUnitSystem.getTimeUnit();
                VCUnitDefinition smoldynReactionSizeUnit = modelUnitSystem.getLengthUnit().raiseTo(reactionLocationDim);
                VCUnitDefinition smoldynSubstanceUnit = modelUnitSystem.getStochasticSubstanceUnit();
                VCUnitDefinition smoldynReactionRateUnit = smoldynSubstanceUnit.divideBy(smoldynReactionSizeUnit).divideBy(timeUnit);
                VCUnitDefinition vcellReactionRateUnit = reactionRateParameter.getUnitDefinition();
                VCUnitDefinition reactionUnitFactor = smoldynReactionRateUnit.divideBy(vcellReactionRateUnit);
                if (forwardRate != null) {
                    VCUnitDefinition smoldynReactantsUnit = modelUnitSystem.getInstance_DIMENSIONLESS();
                    // start with factor to translate entire reaction rate.
                    VCUnitDefinition forwardUnitFactor = reactionUnitFactor;
                    // 
                    for (ReactionParticipant reactant : maFunc.getReactants()) {
                        VCUnitDefinition vcellReactantUnit = reactant.getSpeciesContext().getUnitDefinition();
                        boolean bForceContinuous = simContext.getReactionContext().getSpeciesContextSpec(reactant.getSpeciesContext()).isForceContinuous();
                        VCUnitDefinition smoldynReactantUnit = null;
                        if (bForceContinuous) {
                            // reactant is continuous (vcell units)
                            smoldynReactantUnit = reactant.getSpeciesContext().getUnitDefinition();
                        } else {
                            // reactant is a particle (smoldyn units)
                            RationalNumber reactantLocationDim = new RationalNumber(reactant.getStructure().getDimension());
                            VCUnitDefinition smoldynReactantSize = modelUnitSystem.getLengthUnit().raiseTo(reactantLocationDim);
                            smoldynReactantUnit = smoldynSubstanceUnit.divideBy(smoldynReactantSize);
                        }
                        // keep track of units of all reactants
                        smoldynReactantsUnit = smoldynReactantsUnit.multiplyBy(smoldynReactantUnit);
                        RationalNumber reactantStoichiometry = new RationalNumber(reactant.getStoichiometry());
                        VCUnitDefinition reactantUnitFactor = (vcellReactantUnit.divideBy(smoldynReactantUnit)).raiseTo(reactantStoichiometry);
                        // accumulate unit factors for all reactants
                        forwardUnitFactor = forwardUnitFactor.multiplyBy(reactantUnitFactor);
                    }
                    forwardRate = Expression.mult(forwardRate, getUnitFactor(forwardUnitFactor));
                    VCUnitDefinition smoldynExpectedForwardRateUnit = smoldynReactionRateUnit.divideBy(smoldynReactantsUnit);
                    // get probability
                    Expression exp = getIdentifierSubstitutions(forwardRate, smoldynExpectedForwardRateUnit, reactionStepGeometryClass).flatten();
                    JumpProcessRateDefinition partRateDef = new MacroscopicRateConstant(exp);
                    // create particle jump process
                    String jpName = TokenMangler.mangleToSName(reactionStep.getName());
                    // only for NFSim/Rules for now.
                    ProcessSymmetryFactor processSymmetryFactor = null;
                    if (forwardActions.size() > 0) {
                        ParticleJumpProcess forwardProcess = new ParticleJumpProcess(jpName, reactantParticles, partRateDef, forwardActions, processSymmetryFactor);
                        subdomain.addParticleJumpProcess(forwardProcess);
                    }
                }
                // end of forward rate not null
                if (reverseRate != null) {
                    VCUnitDefinition smoldynProductsUnit = modelUnitSystem.getInstance_DIMENSIONLESS();
                    // start with factor to translate entire reaction rate.
                    VCUnitDefinition reverseUnitFactor = reactionUnitFactor;
                    // 
                    for (ReactionParticipant product : maFunc.getProducts()) {
                        VCUnitDefinition vcellProductUnit = product.getSpeciesContext().getUnitDefinition();
                        boolean bForceContinuous = simContext.getReactionContext().getSpeciesContextSpec(product.getSpeciesContext()).isForceContinuous();
                        VCUnitDefinition smoldynProductUnit = null;
                        if (bForceContinuous) {
                            smoldynProductUnit = product.getSpeciesContext().getUnitDefinition();
                        } else {
                            RationalNumber productLocationDim = new RationalNumber(product.getStructure().getDimension());
                            VCUnitDefinition smoldynProductSize = modelUnitSystem.getLengthUnit().raiseTo(productLocationDim);
                            smoldynProductUnit = smoldynSubstanceUnit.divideBy(smoldynProductSize);
                        }
                        // keep track of units of all products
                        smoldynProductsUnit = smoldynProductsUnit.multiplyBy(smoldynProductUnit);
                        RationalNumber productStoichiometry = new RationalNumber(product.getStoichiometry());
                        VCUnitDefinition productUnitFactor = (vcellProductUnit.divideBy(smoldynProductUnit)).raiseTo(productStoichiometry);
                        // accumulate unit factors for all products
                        reverseUnitFactor = reverseUnitFactor.multiplyBy(productUnitFactor);
                    }
                    reverseRate = Expression.mult(reverseRate, getUnitFactor(reverseUnitFactor));
                    VCUnitDefinition smoldynExpectedReverseRateUnit = smoldynReactionRateUnit.divideBy(smoldynProductsUnit);
                    // get probability
                    Expression exp = getIdentifierSubstitutions(reverseRate, smoldynExpectedReverseRateUnit, reactionStepGeometryClass).flatten();
                    JumpProcessRateDefinition partProbRate = new MacroscopicRateConstant(exp);
                    // get jump process name
                    String jpName = TokenMangler.mangleToSName(reactionStep.getName() + "_reverse");
                    // only for NFSim/Rules for now.
                    ProcessSymmetryFactor processSymmetryFactor = null;
                    if (reverseActions.size() > 0) {
                        ParticleJumpProcess reverseProcess = new ParticleJumpProcess(jpName, productParticles, partProbRate, reverseActions, processSymmetryFactor);
                        subdomain.addParticleJumpProcess(reverseProcess);
                    }
                }
            // end of reverse rate not null
            }
        // end of maFunc not null
        }
    // end of reaction step for loop
    }
    // 
    for (int i = 0; i < fieldMathMappingParameters.length; i++) {
        if (fieldMathMappingParameters[i] instanceof UnitFactorParameter) {
            GeometryClass geometryClass = fieldMathMappingParameters[i].getGeometryClass();
            Variable variable = newFunctionOrConstant(getMathSymbol(fieldMathMappingParameters[i], geometryClass), getIdentifierSubstitutions(fieldMathMappingParameters[i].getExpression(), fieldMathMappingParameters[i].getUnitDefinition(), geometryClass), fieldMathMappingParameters[i].getGeometryClass());
            if (mathDesc.getVariable(variable.getName()) == null) {
                mathDesc.addVariable(variable);
            }
        }
    }
    if (!mathDesc.isValid()) {
        lg.warn(mathDesc.getVCML_database());
        throw new MappingException("generated an invalid mathDescription: " + mathDesc.getWarning());
    }
    if (lg.isDebugEnabled()) {
        System.out.println("]]]]]]]]]]]]]]]]]]]]]] VCML string begin ]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]");
        System.out.println(mathDesc.getVCML());
        System.out.println("]]]]]]]]]]]]]]]]]]]]]] VCML string end ]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]");
    }
}

Example 7 with MathException

use of cbit.vcell.math.MathException in project vcell by virtualcell.

the class FastSystemAnalyzer method refreshInvarianceMatrix.

/**
 */
private void refreshInvarianceMatrix() throws MathException, ExpressionException {
    // 
    // the invariance's are expressed in matrix form
    // 
    // |a a a a a -1  0  0|   |x1|   |0|
    // |a a a a a  0 -1  0| * |x2| = |0|
    // |a a a a a  0  0 -1|   |x3|   |0|
    // |x4|
    // |x5|
    // |c1|
    // |c2|
    // |c3|
    // 
    Variable[] vars = new Variable[fastVarList.size()];
    fastVarList.copyInto(vars);
    int numVars = fastVarList.size();
    int rows = fastSystem.getNumFastInvariants();
    int cols = numVars + fastSystem.getNumFastInvariants();
    RationalExpMatrix matrix = new RationalExpMatrix(rows, cols);
    Enumeration<FastInvariant> fastInvariantsEnum = fastSystem.getFastInvariants();
    for (int i = 0; i < rows && fastInvariantsEnum.hasMoreElements(); i++) {
        FastInvariant fi = (FastInvariant) fastInvariantsEnum.nextElement();
        Expression function = fi.getFunction();
        for (int j = 0; j < numVars; j++) {
            Variable var = (Variable) fastVarList.elementAt(j);
            Expression exp = function.differentiate(var.getName());
            exp.bindExpression(null);
            exp = exp.flatten();
            RationalExp coeffRationalExp = RationalExpUtils.getRationalExp(exp);
            matrix.set_elem(i, j, coeffRationalExp);
        }
        matrix.set_elem(i, numVars + i, -1);
    }
    // Print
    System.out.println("origMatrix");
    matrix.show();
    // 
    // gaussian elimination on the matrix give the following representation
    // note that some column pivoting (variable re-ordering) is sometimes required to
    // determine N-r dependent vars
    // 
    // |10i0iccc|
    // |01i0iccc|  where (c)'s are the coefficients for constants of invariances
    // |00i1iccc|        (i)'s are the coefficients for dependent vars in terms of independent vars
    // 
    // Print
    System.out.println("reducedMatrix");
    if (rows > 0) {
        try {
            matrix.gaussianElimination(new RationalExpMatrix(rows, rows));
        } catch (MatrixException e) {
            e.printStackTrace(System.out);
            throw new MathException(e.getMessage());
        }
    }
    matrix.show();
    for (int i = 0; i < vars.length; i++) {
        System.out.print(vars[i].getName() + "  ");
    }
    System.out.println("");
    // 
    for (int i = 0; i < rows; i++) {
        for (int j = 0; j < rows; j++) {
            RationalExp rexp = matrix.get(i, j).simplify();
            matrix.set_elem(i, j, rexp);
        }
    }
    for (int i = 0; i < rows; i++) {
        // 
        if (!matrix.get(i, i).isConstant() || matrix.get(i, i).getConstant().doubleValue() != 1) {
            for (int j = i + 1; j < numVars; j++) {
                if (matrix.get(i, j).isConstant() && matrix.get(i, j).getConstant().doubleValue() == 1.0) {
                    for (int ii = 0; ii < rows; ii++) {
                        RationalExp temp = matrix.get(ii, i);
                        matrix.set_elem(ii, i, matrix.get(ii, j));
                        matrix.set_elem(ii, j, temp);
                    }
                    Variable tempVar = vars[i];
                    vars[i] = vars[j];
                    vars[j] = tempVar;
                    break;
                }
            }
        }
    }
    // Print
    for (int i = 0; i < vars.length; i++) {
        System.out.print(vars[i].getName() + "  ");
    }
    System.out.println("");
    matrix.show();
    // 
    // separate into dependent and indepent variables, and chop off identity matrix (left N-r columns)
    // 
    // T       |iiccc|                   T
    // [x1 x2 x4] = -1 * |iiccc| * [x3 x5 c1 c2 c3]
    // |iiccc|
    // 
    // 
    int numInvariants = fastSystem.getNumFastInvariants();
    dependentVarList.removeAllElements();
    for (int i = 0; i < numInvariants; i++) {
        dependentVarList.addElement(vars[i]);
    }
    independentVarList.removeAllElements();
    for (int i = numInvariants; i < vars.length; i++) {
        independentVarList.addElement(vars[i]);
    }
    int new_cols = independentVarList.size() + numInvariants;
    dependencyMatrix = new RationalExpMatrix(rows, new_cols);
    for (int i = 0; i < rows; i++) {
        for (int j = 0; j < new_cols; j++) {
            RationalExp rexp = matrix.get(i, j + dependentVarList.size()).simplify().minus();
            dependencyMatrix.set_elem(i, j, rexp);
        }
    }
    // Print
    System.out.println("\n\nDEPENDENCY MATRIX");
    dependencyMatrix.show();
    System.out.print("dependent vars: ");
    for (int i = 0; i < dependentVarList.size(); i++) {
        System.out.print(((Variable) dependentVarList.elementAt(i)).getName() + "  ");
    }
    System.out.println("");
    System.out.print("independent vars: ");
    for (int i = 0; i < independentVarList.size(); i++) {
        System.out.print(((Variable) independentVarList.elementAt(i)).getName() + "  ");
    }
    System.out.println("");
}

Example 8 with MathException

use of cbit.vcell.math.MathException in project vcell by virtualcell.

the class FastSystemAnalyzer method checkLinearity.

/**
 * @exception java.lang.Exception The exception description.
 */
private void checkLinearity() throws MathException, ExpressionException {
    Enumeration<Variable> enum1 = fastVarList.elements();
    while (enum1.hasMoreElements()) {
        Variable var = enum1.nextElement();
        // 
        // d invariant
        // for each variable, make sure ------------- = constant;
        // d Var
        // 
        Enumeration<FastInvariant> enum_fi = fastSystem.getFastInvariants();
        while (enum_fi.hasMoreElements()) {
            FastInvariant fi = enum_fi.nextElement();
            Expression exp = fi.getFunction().differentiate(var.getName());
            exp = MathUtilities.substituteFunctions(exp, this).flatten();
            if (!exp.isNumeric()) {
                // If expression is in terms of 'x','y','z' - then its ok - relax the constant requirement.
                String[] symbols = exp.getSymbols();
                for (int i = 0; i < symbols.length; i++) {
                    if (!symbols[i].equals(ReservedVariable.X.getName()) && !symbols[i].equals(ReservedVariable.Y.getName()) && !symbols[i].equals(ReservedVariable.Z.getName()) && !symbols[i].equals(ReservedVariable.TIME.getName())) {
                        throw new MathException("FastInvariant " + fi.getFunction().toString() + " isn't linear, d/d(" + var.getName() + ") = " + exp.toString());
                    }
                }
            }
        }
    }
}

Example 9 with MathException

use of cbit.vcell.math.MathException in project vcell by virtualcell.

the class FastSystemAnalyzer method refreshFastVarList.

/**
 * @return java.util.Vector
 */
private void refreshFastVarList() throws MathException, ExpressionException {
    fastVarList.clear();
    // 
    // get list of unique (VolVariables and MemVariables) in fastRate expressions
    // 
    Enumeration<FastRate> fastRatesEnum = fastSystem.getFastRates();
    while (fastRatesEnum.hasMoreElements()) {
        FastRate fr = fastRatesEnum.nextElement();
        Expression exp = fr.getFunction();
        Enumeration<Variable> enum1 = MathUtilities.getRequiredVariables(exp, this);
        while (enum1.hasMoreElements()) {
            Variable var = enum1.nextElement();
            if (var instanceof VolVariable || var instanceof MemVariable) {
                if (!fastVarList.contains(var)) {
                    fastVarList.addElement(var);
                // System.out.println("FastSystemImplicit.refreshFastVarList(), FAST RATE VARIABLE: "+var.getName());
                }
            }
        }
    }
    // 
    // get list of all variables used in invariant expressions that are not used in fast rates
    // 
    Enumeration<FastInvariant> fastInvariantsEnum = fastSystem.getFastInvariants();
    while (fastInvariantsEnum.hasMoreElements()) {
        FastInvariant fi = (FastInvariant) fastInvariantsEnum.nextElement();
        Expression exp = fi.getFunction();
        // System.out.println("FastSystemImplicit.refreshFastVarList(), ORIGINAL FAST INVARIANT: "+exp);
        Enumeration<Variable> enum1 = MathUtilities.getRequiredVariables(exp, this);
        while (enum1.hasMoreElements()) {
            Variable var = enum1.nextElement();
            if (var instanceof VolVariable || var instanceof MemVariable) {
                if (!fastVarList.contains(var)) {
                    fastVarList.addElement(var);
                }
            }
        }
    }
    // 
    // verify that there are N equations (rates+invariants) and N unknowns (fastVariables)
    // 
    int numBoundFunctions = fastSystem.getNumFastInvariants() + fastSystem.getNumFastRates();
    if (fastVarList.size() != numBoundFunctions) {
        throw new MathException("FastSystem.checkDimension(), there are " + fastVarList.size() + " variables and " + numBoundFunctions + " FastInvariant's & FastRates");
    }
}

Example 10 with MathException

use of cbit.vcell.math.MathException in project vcell by virtualcell.

the class XmlReader method readParameters.

private void readParameters(List<Element> parameterElements, ParameterContext parameterContext, HashMap<String, ParameterRoleEnum> roleHash, ParameterRoleEnum userDefinedRole, HashSet<String> xmlRolesTagsToIgnore, Model model) throws XmlParseException {
    String contextName = parameterContext.getNameScope().getName();
    try {
        // 
        // prepopulate varHash with reserved symbols
        // 
        VariableHash varHash = new VariableHash();
        addResevedSymbols(varHash, model);
        // 
        for (Element xmlParam : parameterElements) {
            String parsedParamName = unMangle(xmlParam.getAttributeValue(XMLTags.NameAttrTag));
            String parsedRoleString = xmlParam.getAttributeValue(XMLTags.ParamRoleAttrTag);
            String parsedExpressionString = xmlParam.getText();
            // 
            if (xmlRolesTagsToIgnore.contains(parsedRoleString)) {
                varHash.removeVariable(parsedParamName);
                continue;
            }
            Expression paramExp = null;
            if (parsedExpressionString.trim().length() > 0) {
                paramExp = unMangleExpression(parsedExpressionString);
            }
            if (varHash.getVariable(parsedParamName) == null) {
                Domain domain = null;
                varHash.addVariable(new Function(parsedParamName, paramExp, domain));
            } else {
                if (model.getReservedSymbolByName(parsedParamName) != null) {
                    varHash.removeVariable(parsedParamName);
                    Domain domain = null;
                    varHash.addVariable(new Function(parsedParamName, paramExp, domain));
                }
            }
            // 
            // get the parameter for this xml role string
            // 
            ParameterRoleEnum paramRole = roleHash.get(parsedRoleString);
            if (paramRole == null) {
                throw new XmlParseException("parameter '" + parsedParamName + "' has unexpected role '" + parsedRoleString + "' in '" + contextName + "'");
            }
            // 
            if (paramRole != userDefinedRole) {
                LocalParameter paramWithSameRole = parameterContext.getLocalParameterFromRole(paramRole);
                if (paramWithSameRole == null) {
                    throw new XmlParseException("can't find parameter with role '" + parsedRoleString + "' in '" + contextName + "'");
                }
                // 
                if (!paramWithSameRole.getName().equals(parsedParamName)) {
                    // 
                    // first rename other parameters with same name
                    // 
                    LocalParameter paramWithSameNameButDifferentRole = parameterContext.getLocalParameterFromName(parsedParamName);
                    if (paramWithSameNameButDifferentRole != null) {
                        // 
                        // find available name
                        // 
                        int n = 0;
                        String newName = parsedParamName + "_" + n++;
                        while (parameterContext.getEntry(newName) != null) {
                            newName = parsedParamName + "_" + n++;
                        }
                        parameterContext.renameLocalParameter(parsedParamName, newName);
                    }
                    // 
                    // then rename parameter with correct role
                    // 
                    parameterContext.renameLocalParameter(paramWithSameRole.getName(), parsedParamName);
                }
            }
        }
        // 
        // create unresolved parameters for all unresolved symbols
        // 
        String unresolvedSymbol = varHash.getFirstUnresolvedSymbol();
        while (unresolvedSymbol != null) {
            try {
                Domain domain = null;
                // will turn into an UnresolvedParameter.
                varHash.addVariable(new Function(unresolvedSymbol, new Expression(0.0), domain));
            } catch (MathException e) {
                e.printStackTrace(System.out);
                throw new XmlParseException(e.getMessage());
            }
            parameterContext.addUnresolvedParameter(unresolvedSymbol);
            unresolvedSymbol = varHash.getFirstUnresolvedSymbol();
        }
        // 
        // in topological order, add parameters to model (getting units also).
        // note that all pre-defined parameters already have the correct names
        // here we set expressions on pre-defined parameters and add user-defined parameters
        // 
        Variable[] sortedVariables = varHash.getTopologicallyReorderedVariables();
        ModelUnitSystem modelUnitSystem = model.getUnitSystem();
        for (int i = sortedVariables.length - 1; i >= 0; i--) {
            if (sortedVariables[i] instanceof Function) {
                Function paramFunction = (Function) sortedVariables[i];
                Element xmlParam = null;
                for (int j = 0; j < parameterElements.size(); j++) {
                    Element tempParam = (Element) parameterElements.get(j);
                    if (paramFunction.getName().equals(unMangle(tempParam.getAttributeValue(XMLTags.NameAttrTag)))) {
                        xmlParam = tempParam;
                        break;
                    }
                }
                if (xmlParam == null) {
                    // must have been an unresolved parameter
                    continue;
                }
                String symbol = xmlParam.getAttributeValue(XMLTags.VCUnitDefinitionAttrTag);
                VCUnitDefinition unit = null;
                if (symbol != null) {
                    unit = modelUnitSystem.getInstance(symbol);
                }
                LocalParameter tempParam = parameterContext.getLocalParameterFromName(paramFunction.getName());
                if (tempParam == null) {
                    tempParam = parameterContext.addLocalParameter(paramFunction.getName(), new Expression(0.0), userDefinedRole, unit, userDefinedRole.getDescription());
                    parameterContext.setParameterValue(tempParam, paramFunction.getExpression(), true);
                } else {
                    if (tempParam.getExpression() != null) {
                        // if the expression is null, it should remain null.
                        parameterContext.setParameterValue(tempParam, paramFunction.getExpression(), true);
                    }
                    tempParam.setUnitDefinition(unit);
                }
            }
        }
    } catch (PropertyVetoException | ExpressionException | MathException e) {
        e.printStackTrace(System.out);
        throw new XmlParseException("Exception while setting parameters for '" + contextName + "': " + e.getMessage(), e);
    }
}