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Example 26 with Domain

use of cbit.vcell.math.Variable.Domain in project vcell by virtualcell.

the class MathTestingUtilities method constructExactMath.

/**
 * constructExactMath()
 *
 * take an equation of the form:
 *
 *     d A
 *     --- = F(A,t)
 *     d t
 *
 * and create a new equation with a known exact solution 'A_exact' by adding a forcing function R(t)
 *
 *     d A
 *     --- = F(A,t) + R(t)
 *     d t
 *
 * where:
 *
 *             d A_exact
 *      R(t) = --------- - F(A_exact,t)
 *                d t
 *
 * solving for R(t) is done analytically.
 *
 * Creation date: (1/21/2003 10:47:54 AM)
 * @return cbit.vcell.math.MathDescription
 * @param mathDesc cbit.vcell.math.MathDescription
 */
public static MathDescription constructExactMath(MathDescription mathDesc, java.util.Random random, ConstructedSolutionTemplate constructedSolutionTemplate) throws ExpressionException, MathException, MappingException {
    if (mathDesc.hasFastSystems()) {
        throw new RuntimeException("SolverTest.constructExactMath() suppport for fastSystems not yet implemented.");
    }
    MathDescription exactMath = null;
    try {
        exactMath = (MathDescription) BeanUtils.cloneSerializable(mathDesc);
        exactMath.setDescription("constructed exact solution from MathDescription (" + mathDesc.getName() + ")");
        exactMath.setName("exact from " + mathDesc.getName());
    } catch (Throwable e) {
        e.printStackTrace(System.out);
        throw new RuntimeException("error cloning MathDescription: " + e.getMessage());
    }
    // 
    // preload the VariableHash with existing Variables (and Constants,Functions,etc) and then sort all at once.
    // 
    VariableHash varHash = new VariableHash();
    Enumeration<Variable> enumVar = exactMath.getVariables();
    while (enumVar.hasMoreElements()) {
        varHash.addVariable(enumVar.nextElement());
    }
    java.util.Enumeration<SubDomain> subDomainEnum = exactMath.getSubDomains();
    while (subDomainEnum.hasMoreElements()) {
        SubDomain subDomain = subDomainEnum.nextElement();
        Domain domain = new Domain(subDomain);
        java.util.Enumeration<Equation> equationEnum = subDomain.getEquations();
        if (subDomain instanceof MembraneSubDomain) {
            MembraneSubDomain memSubDomain = (MembraneSubDomain) subDomain;
            AnalyticSubVolume insideAnalyticSubVolume = (AnalyticSubVolume) exactMath.getGeometry().getGeometrySpec().getSubVolume(memSubDomain.getInsideCompartment().getName());
            Function[] outwardNormalFunctions = getOutwardNormal(insideAnalyticSubVolume.getExpression(), "_" + insideAnalyticSubVolume.getName());
            for (int i = 0; i < outwardNormalFunctions.length; i++) {
                varHash.addVariable(outwardNormalFunctions[i]);
            }
        }
        while (equationEnum.hasMoreElements()) {
            Equation equation = equationEnum.nextElement();
            if (equation.getExactSolution() != null) {
                throw new RuntimeException("exact solution already exists");
            }
            Enumeration<Constant> origMathConstants = mathDesc.getConstants();
            if (equation instanceof OdeEquation) {
                OdeEquation odeEquation = (OdeEquation) equation;
                Expression substitutedRateExp = substituteWithExactSolution(odeEquation.getRateExpression(), (CompartmentSubDomain) subDomain, exactMath);
                SolutionTemplate solutionTemplate = constructedSolutionTemplate.getSolutionTemplate(equation.getVariable().getName(), subDomain.getName());
                String varName = odeEquation.getVariable().getName();
                String initName = null;
                while (origMathConstants.hasMoreElements()) {
                    Constant constant = origMathConstants.nextElement();
                    if (constant.getName().startsWith(varName + "_" + subDomain.getName() + DiffEquMathMapping.MATH_FUNC_SUFFIX_SPECIES_INIT_CONC_UNIT_PREFIX)) {
                        initName = constant.getName();
                    }
                }
                String exactName = varName + "_" + subDomain.getName() + "_exact";
                String errorName = varName + "_" + subDomain.getName() + "_error";
                String origRateName = "_" + varName + "_" + subDomain.getName() + "_origRate";
                String substitutedRateName = "_" + varName + "_" + subDomain.getName() + "_substitutedRate";
                String exactTimeDerivativeName = "_" + varName + "_" + subDomain.getName() + "_exact_dt";
                Expression exactExp = solutionTemplate.getTemplateExpression();
                Expression errorExp = new Expression(exactName + " - " + varName);
                Expression origRateExp = new Expression(odeEquation.getRateExpression());
                Expression exactTimeDerivativeExp = exactExp.differentiate("t").flatten();
                Expression newRate = new Expression(origRateName + " - " + substitutedRateName + " + " + exactTimeDerivativeName);
                Constant[] constants = solutionTemplate.getConstants();
                for (int i = 0; i < constants.length; i++) {
                    varHash.addVariable(constants[i]);
                }
                Expression initExp = new Expression(exactExp);
                initExp.substituteInPlace(new Expression("t"), new Expression(0.0));
                varHash.addVariable(new Function(initName, initExp.flatten(), domain));
                varHash.addVariable(new Function(exactName, exactExp, domain));
                varHash.addVariable(new Function(errorName, errorExp, domain));
                varHash.addVariable(new Function(exactTimeDerivativeName, exactTimeDerivativeExp, domain));
                varHash.addVariable(new Function(origRateName, origRateExp, domain));
                varHash.addVariable(new Function(substitutedRateName, substitutedRateExp, domain));
                odeEquation.setRateExpression(newRate);
                odeEquation.setInitialExpression(new Expression(initName));
                odeEquation.setExactSolution(new Expression(exactName));
            } else if (equation instanceof PdeEquation) {
                PdeEquation pdeEquation = (PdeEquation) equation;
                Expression substitutedRateExp = substituteWithExactSolution(pdeEquation.getRateExpression(), (CompartmentSubDomain) subDomain, exactMath);
                SolutionTemplate solutionTemplate = constructedSolutionTemplate.getSolutionTemplate(equation.getVariable().getName(), subDomain.getName());
                String varName = pdeEquation.getVariable().getName();
                String initName = null;
                while (origMathConstants.hasMoreElements()) {
                    Constant constant = origMathConstants.nextElement();
                    if (constant.getName().startsWith(varName + "_" + subDomain.getName() + DiffEquMathMapping.MATH_FUNC_SUFFIX_SPECIES_INIT_CONC_UNIT_PREFIX)) {
                        initName = constant.getName();
                    }
                }
                String diffusionRateName = "_" + varName + "_" + subDomain.getName() + "_diffusionRate";
                String exactName = varName + "_" + subDomain.getName() + "_exact";
                String errorName = varName + "_" + subDomain.getName() + "_error";
                String origRateName = "_" + varName + "_" + subDomain.getName() + "_origRate";
                String substitutedRateName = "_" + varName + "_" + subDomain.getName() + "_substitutedRate";
                String exactTimeDerivativeName = "_" + varName + "_" + subDomain.getName() + "_exact_dt";
                String exactDxName = "_" + varName + "_" + subDomain.getName() + "_exact_dx";
                String exactDyName = "_" + varName + "_" + subDomain.getName() + "_exact_dy";
                String exactDzName = "_" + varName + "_" + subDomain.getName() + "_exact_dz";
                String exactDx2Name = "_" + varName + "_" + subDomain.getName() + "_exact_dx2";
                String exactDy2Name = "_" + varName + "_" + subDomain.getName() + "_exact_dy2";
                String exactDz2Name = "_" + varName + "_" + subDomain.getName() + "_exact_dz2";
                String exactLaplacianName = "_" + varName + "_" + subDomain.getName() + "_exact_laplacian";
                Expression exactExp = solutionTemplate.getTemplateExpression();
                Expression errorExp = new Expression(exactName + " - " + varName);
                Expression origRateExp = new Expression(pdeEquation.getRateExpression());
                Expression initExp = new Expression(exactExp);
                initExp.substituteInPlace(new Expression("t"), new Expression(0.0));
                initExp = initExp.flatten();
                Expression exactTimeDerivativeExp = exactExp.differentiate("t").flatten();
                Expression exactDxExp = exactExp.differentiate("x").flatten();
                Expression exactDx2Exp = exactDxExp.differentiate("x").flatten();
                Expression exactDyExp = exactExp.differentiate("y").flatten();
                Expression exactDy2Exp = exactDxExp.differentiate("y").flatten();
                Expression exactDzExp = exactExp.differentiate("z").flatten();
                Expression exactDz2Exp = exactDxExp.differentiate("z").flatten();
                Expression exactLaplacianExp = Expression.add(Expression.add(exactDx2Exp, exactDy2Exp), exactDz2Exp).flatten();
                Expression newRate = new Expression(origRateName + " - " + substitutedRateName + " - ((" + diffusionRateName + ")*" + exactLaplacianName + ")" + " + " + exactTimeDerivativeName);
                Constant[] constants = solutionTemplate.getConstants();
                for (int i = 0; i < constants.length; i++) {
                    varHash.addVariable(constants[i]);
                }
                varHash.addVariable(new Function(initName, initExp, domain));
                varHash.addVariable(new Function(diffusionRateName, new Expression(pdeEquation.getDiffusionExpression()), domain));
                varHash.addVariable(new Function(exactName, exactExp, domain));
                varHash.addVariable(new Function(errorName, errorExp, domain));
                varHash.addVariable(new Function(exactTimeDerivativeName, exactTimeDerivativeExp, domain));
                varHash.addVariable(new Function(origRateName, origRateExp, domain));
                varHash.addVariable(new Function(substitutedRateName, substitutedRateExp, domain));
                varHash.addVariable(new Function(exactDxName, exactDxExp, domain));
                varHash.addVariable(new Function(exactDyName, exactDyExp, domain));
                varHash.addVariable(new Function(exactDzName, exactDzExp, domain));
                varHash.addVariable(new Function(exactDx2Name, exactDx2Exp, domain));
                varHash.addVariable(new Function(exactDy2Name, exactDy2Exp, domain));
                varHash.addVariable(new Function(exactDz2Name, exactDz2Exp, domain));
                varHash.addVariable(new Function(exactLaplacianName, exactLaplacianExp, domain));
                pdeEquation.setRateExpression(newRate);
                pdeEquation.setInitialExpression(new Expression(initName));
                pdeEquation.setDiffusionExpression(new Expression(diffusionRateName));
                pdeEquation.setExactSolution(new Expression(exactName));
                CompartmentSubDomain compartmentSubDomain = (CompartmentSubDomain) subDomain;
                if (compartmentSubDomain.getBoundaryConditionXm().isDIRICHLET()) {
                    Expression origExp = pdeEquation.getBoundaryXm();
                    if (origExp != null) {
                        Expression substitutedExp = substituteWithExactSolution(origExp, compartmentSubDomain, exactMath);
                        pdeEquation.setBoundaryXm(new Expression(origExp + "-" + substitutedExp + "+" + exactExp));
                    } else {
                        pdeEquation.setBoundaryXm(exactExp);
                    }
                } else if (compartmentSubDomain.getBoundaryConditionXm().isNEUMANN()) {
                    Expression origExp = pdeEquation.getBoundaryXm();
                    if (origExp != null) {
                        Expression substitutedExp = substituteWithExactSolution(origExp, compartmentSubDomain, exactMath);
                        pdeEquation.setBoundaryXm(new Expression(origExp + "-" + substitutedExp + "-" + diffusionRateName + "*" + exactDxName));
                    } else {
                        pdeEquation.setBoundaryXm(new Expression("-" + diffusionRateName + "*" + exactDxName));
                    }
                } else {
                    throw new RuntimeException("unsupported boundary condition type " + compartmentSubDomain.getBoundaryConditionXm());
                }
                if (compartmentSubDomain.getBoundaryConditionXp().isDIRICHLET()) {
                    Expression origExp = pdeEquation.getBoundaryXp();
                    if (origExp != null) {
                        Expression substitutedExp = substituteWithExactSolution(origExp, compartmentSubDomain, exactMath);
                        pdeEquation.setBoundaryXp(new Expression(origExp + "-" + substitutedExp + "+" + exactExp));
                    } else {
                        pdeEquation.setBoundaryXp(exactExp);
                    }
                } else if (compartmentSubDomain.getBoundaryConditionXp().isNEUMANN()) {
                    Expression origExp = pdeEquation.getBoundaryXp();
                    if (origExp != null) {
                        Expression substitutedExp = substituteWithExactSolution(origExp, compartmentSubDomain, exactMath);
                        pdeEquation.setBoundaryXp(new Expression(origExp + "-" + substitutedExp + "+" + diffusionRateName + "*" + exactDxName));
                    } else {
                        pdeEquation.setBoundaryXp(new Expression(diffusionRateName + "*" + exactDxName));
                    }
                } else {
                    throw new RuntimeException("unsupported boundary condition type " + compartmentSubDomain.getBoundaryConditionXp());
                }
                if (compartmentSubDomain.getBoundaryConditionYm().isDIRICHLET()) {
                    Expression origExp = pdeEquation.getBoundaryYm();
                    if (origExp != null) {
                        Expression substitutedExp = substituteWithExactSolution(origExp, compartmentSubDomain, exactMath);
                        pdeEquation.setBoundaryYm(new Expression(origExp + "-" + substitutedExp + "+" + exactExp));
                    } else {
                        pdeEquation.setBoundaryYm(exactExp);
                    }
                } else if (compartmentSubDomain.getBoundaryConditionYm().isNEUMANN()) {
                    Expression origExp = pdeEquation.getBoundaryYm();
                    if (origExp != null) {
                        Expression substitutedExp = substituteWithExactSolution(origExp, compartmentSubDomain, exactMath);
                        pdeEquation.setBoundaryYm(new Expression(origExp + "-" + substitutedExp + "-" + diffusionRateName + "*" + exactDyName));
                    } else {
                        pdeEquation.setBoundaryYm(new Expression("-" + diffusionRateName + "*" + exactDyName));
                    }
                } else {
                    throw new RuntimeException("unsupported boundary condition type " + compartmentSubDomain.getBoundaryConditionYm());
                }
                if (compartmentSubDomain.getBoundaryConditionYp().isDIRICHLET()) {
                    Expression origExp = pdeEquation.getBoundaryYp();
                    if (origExp != null) {
                        Expression substitutedExp = substituteWithExactSolution(origExp, compartmentSubDomain, exactMath);
                        pdeEquation.setBoundaryYp(new Expression(origExp + "-" + substitutedExp + "+" + exactExp));
                    } else {
                        pdeEquation.setBoundaryYp(exactExp);
                    }
                } else if (compartmentSubDomain.getBoundaryConditionYp().isNEUMANN()) {
                    Expression origExp = pdeEquation.getBoundaryYp();
                    if (origExp != null) {
                        Expression substitutedExp = substituteWithExactSolution(origExp, compartmentSubDomain, exactMath);
                        pdeEquation.setBoundaryYp(new Expression(origExp + "-" + substitutedExp + "+" + diffusionRateName + "*" + exactDyName));
                    } else {
                        pdeEquation.setBoundaryYp(new Expression(diffusionRateName + "*" + exactDyName));
                    }
                } else {
                    throw new RuntimeException("unsupported boundary condition type " + compartmentSubDomain.getBoundaryConditionYp());
                }
                if (compartmentSubDomain.getBoundaryConditionZm().isDIRICHLET()) {
                    Expression origExp = pdeEquation.getBoundaryZm();
                    if (origExp != null) {
                        Expression substitutedExp = substituteWithExactSolution(origExp, compartmentSubDomain, exactMath);
                        pdeEquation.setBoundaryZm(new Expression(origExp + "-" + substitutedExp + "+" + exactExp));
                    } else {
                        pdeEquation.setBoundaryZm(exactExp);
                    }
                } else if (compartmentSubDomain.getBoundaryConditionZm().isNEUMANN()) {
                    Expression origExp = pdeEquation.getBoundaryZm();
                    if (origExp != null) {
                        Expression substitutedExp = substituteWithExactSolution(origExp, compartmentSubDomain, exactMath);
                        pdeEquation.setBoundaryZm(new Expression(origExp + "-" + substitutedExp + "-" + diffusionRateName + "*" + exactDzName));
                    } else {
                        pdeEquation.setBoundaryZm(new Expression("-" + diffusionRateName + "*" + exactDzName));
                    }
                } else {
                    throw new RuntimeException("unsupported boundary condition type " + compartmentSubDomain.getBoundaryConditionXm());
                }
                if (compartmentSubDomain.getBoundaryConditionZp().isDIRICHLET()) {
                    Expression origExp = pdeEquation.getBoundaryZp();
                    if (origExp != null) {
                        Expression substitutedExp = substituteWithExactSolution(origExp, compartmentSubDomain, exactMath);
                        pdeEquation.setBoundaryZp(new Expression(origExp + "-" + substitutedExp + "+" + exactExp));
                    } else {
                        pdeEquation.setBoundaryZp(exactExp);
                    }
                } else if (compartmentSubDomain.getBoundaryConditionZp().isNEUMANN()) {
                    Expression origExp = pdeEquation.getBoundaryZp();
                    if (origExp != null) {
                        Expression substitutedExp = substituteWithExactSolution(origExp, compartmentSubDomain, exactMath);
                        pdeEquation.setBoundaryZp(new Expression(origExp + "-" + substitutedExp + "+" + diffusionRateName + "*" + exactDzName));
                    } else {
                        pdeEquation.setBoundaryZp(new Expression(diffusionRateName + "*" + exactDzName));
                    }
                } else {
                    throw new RuntimeException("unsupported boundary condition type " + compartmentSubDomain.getBoundaryConditionZp());
                }
            } else {
                throw new RuntimeException("SolverTest.constructedExactMath(): equation type " + equation.getClass().getName() + " not yet implemented");
            }
        }
        if (subDomain instanceof MembraneSubDomain) {
            MembraneSubDomain membraneSubDomain = (MembraneSubDomain) subDomain;
            Enumeration<JumpCondition> enumJumpConditions = membraneSubDomain.getJumpConditions();
            while (enumJumpConditions.hasMoreElements()) {
                JumpCondition jumpCondition = enumJumpConditions.nextElement();
                Expression origInfluxExp = jumpCondition.getInFluxExpression();
                Expression origOutfluxExp = jumpCondition.getOutFluxExpression();
                Expression substitutedInfluxExp = substituteWithExactSolution(origInfluxExp, membraneSubDomain, exactMath);
                Expression substitutedOutfluxExp = substituteWithExactSolution(origOutfluxExp, membraneSubDomain, exactMath);
                String varName = jumpCondition.getVariable().getName();
                String origInfluxName = "_" + varName + "_" + subDomain.getName() + "_origInflux";
                String origOutfluxName = "_" + varName + "_" + subDomain.getName() + "_origOutflux";
                String substitutedInfluxName = "_" + varName + "_" + subDomain.getName() + "_substitutedInflux";
                String substitutedOutfluxName = "_" + varName + "_" + subDomain.getName() + "_substitutedOutflux";
                String diffusionRateInsideName = "_" + varName + "_" + membraneSubDomain.getInsideCompartment().getName() + "_diffusionRate";
                String diffusionRateOutsideName = "_" + varName + "_" + membraneSubDomain.getOutsideCompartment().getName() + "_diffusionRate";
                String exactInsideDxName = "_" + varName + "_" + membraneSubDomain.getInsideCompartment().getName() + "_exact_dx";
                String exactInsideDyName = "_" + varName + "_" + membraneSubDomain.getInsideCompartment().getName() + "_exact_dy";
                String exactInsideDzName = "_" + varName + "_" + membraneSubDomain.getInsideCompartment().getName() + "_exact_dz";
                String exactOutsideDxName = "_" + varName + "_" + membraneSubDomain.getOutsideCompartment().getName() + "_exact_dx";
                String exactOutsideDyName = "_" + varName + "_" + membraneSubDomain.getOutsideCompartment().getName() + "_exact_dy";
                String exactOutsideDzName = "_" + varName + "_" + membraneSubDomain.getOutsideCompartment().getName() + "_exact_dz";
                String outwardNormalXName = "_" + membraneSubDomain.getInsideCompartment().getName() + "_Nx";
                String outwardNormalYName = "_" + membraneSubDomain.getInsideCompartment().getName() + "_Ny";
                String outwardNormalZName = "_" + membraneSubDomain.getInsideCompartment().getName() + "_Nz";
                String exactInfluxName = "_" + varName + "_" + membraneSubDomain.getName() + "_exactInflux";
                String exactOutfluxName = "_" + varName + "_" + membraneSubDomain.getName() + "_exactOutflux";
                Expression exactInfluxExp = new Expression(diffusionRateInsideName + " * (" + outwardNormalXName + "*" + exactInsideDxName + " + " + outwardNormalYName + "*" + exactInsideDyName + " + " + outwardNormalZName + "*" + exactInsideDzName + ")");
                Expression exactOutfluxExp = new Expression("-" + diffusionRateOutsideName + " * (" + outwardNormalXName + "*" + exactOutsideDxName + " + " + outwardNormalYName + "*" + exactOutsideDyName + " + " + outwardNormalZName + "*" + exactOutsideDzName + ")");
                Expression newInfluxExp = new Expression(origInfluxName + " - " + substitutedInfluxName + " + " + exactInfluxName);
                Expression newOutfluxExp = new Expression(origOutfluxName + " - " + substitutedOutfluxName + " + " + exactOutfluxName);
                varHash.addVariable(new Function(origInfluxName, origInfluxExp, domain));
                varHash.addVariable(new Function(origOutfluxName, origOutfluxExp, domain));
                varHash.addVariable(new Function(exactInfluxName, exactInfluxExp, domain));
                varHash.addVariable(new Function(exactOutfluxName, exactOutfluxExp, domain));
                varHash.addVariable(new Function(substitutedInfluxName, substitutedInfluxExp, domain));
                varHash.addVariable(new Function(substitutedOutfluxName, substitutedOutfluxExp, domain));
                jumpCondition.setInFlux(newInfluxExp);
                jumpCondition.setOutFlux(newOutfluxExp);
            }
        }
    }
    exactMath.setAllVariables(varHash.getAlphabeticallyOrderedVariables());
    if (!exactMath.isValid()) {
        throw new RuntimeException("generated Math is not valid: " + exactMath.getWarning());
    }
    return exactMath;
}
Also used : JumpCondition(cbit.vcell.math.JumpCondition) MembraneSubDomain(cbit.vcell.math.MembraneSubDomain) MembraneRegionVariable(cbit.vcell.math.MembraneRegionVariable) InsideVariable(cbit.vcell.math.InsideVariable) SensVariable(cbit.vcell.solver.ode.SensVariable) FilamentVariable(cbit.vcell.math.FilamentVariable) VolVariable(cbit.vcell.math.VolVariable) VolumeRegionVariable(cbit.vcell.math.VolumeRegionVariable) ReservedVariable(cbit.vcell.math.ReservedVariable) MemVariable(cbit.vcell.math.MemVariable) OutsideVariable(cbit.vcell.math.OutsideVariable) FilamentRegionVariable(cbit.vcell.math.FilamentRegionVariable) Variable(cbit.vcell.math.Variable) MathDescription(cbit.vcell.math.MathDescription) VariableHash(cbit.vcell.math.VariableHash) Constant(cbit.vcell.math.Constant) CompartmentSubDomain(cbit.vcell.math.CompartmentSubDomain) SubDomain(cbit.vcell.math.SubDomain) MembraneSubDomain(cbit.vcell.math.MembraneSubDomain) PdeEquation(cbit.vcell.math.PdeEquation) Function(cbit.vcell.math.Function) OdeEquation(cbit.vcell.math.OdeEquation) PdeEquation(cbit.vcell.math.PdeEquation) Equation(cbit.vcell.math.Equation) SolutionTemplate(cbit.vcell.numericstest.SolutionTemplate) ConstructedSolutionTemplate(cbit.vcell.numericstest.ConstructedSolutionTemplate) OdeEquation(cbit.vcell.math.OdeEquation) Expression(cbit.vcell.parser.Expression) CompartmentSubDomain(cbit.vcell.math.CompartmentSubDomain) CompartmentSubDomain(cbit.vcell.math.CompartmentSubDomain) SubDomain(cbit.vcell.math.SubDomain) Domain(cbit.vcell.math.Variable.Domain) MembraneSubDomain(cbit.vcell.math.MembraneSubDomain) AnalyticSubVolume(cbit.vcell.geometry.AnalyticSubVolume)

Example 27 with Domain

use of cbit.vcell.math.Variable.Domain in project vcell by virtualcell.

the class MathTestingUtilities method getOutwardNormalFromInsideOutsideFunction.

/**
 * Insert the method's description here.
 * Creation date: (1/23/2003 10:30:23 PM)
 * @return cbit.vcell.parser.Expression
 * @param analyticSubDomainExp cbit.vcell.parser.Expression
 */
public static Function[] getOutwardNormalFromInsideOutsideFunction(Expression insideOutsideFunction, String baseName) throws ExpressionException, MappingException {
    java.util.Vector<Function> varList = new java.util.Vector<Function>();
    Expression F = new Expression(insideOutsideFunction);
    F.bindExpression(null);
    F = F.flatten();
    if (insideOutsideFunction.isRelational() || insideOutsideFunction.isLogical()) {
        throw new RuntimeException("expecting smooth function for analytic function");
    }
    String F_name = baseName + "_F";
    String F_dx_name = baseName + "_F_dx";
    Expression F_dx = F.differentiate("x").flatten();
    String F_dy_name = baseName + "_F_dy";
    Expression F_dy = F.differentiate("y").flatten();
    String F_dz_name = baseName + "_F_dz";
    Expression F_dz = F.differentiate("z").flatten();
    String normalLengthName = baseName + "_F_d_length";
    Expression normalLength = new Expression("sqrt(pow(" + F_dx_name + ",2)+pow(" + F_dy_name + ",2)+pow(" + F_dz_name + ",2))");
    String distanceToSurfaceName = baseName + "_distance";
    Expression distanceToSurface = new Expression("abs(" + F_name + ")/" + normalLengthName);
    String normalXName = baseName + "_Nx";
    Expression normalX = new Expression(F_dx_name + "/" + normalLengthName);
    String normalYName = baseName + "_Ny";
    Expression normalY = new Expression(F_dy_name + "/" + normalLengthName);
    String normalZName = baseName + "_Nz";
    Expression normalZ = new Expression(F_dz_name + "/" + normalLengthName);
    Domain domain = null;
    varList.add(new Function(F_name, F, domain));
    varList.add(new Function(F_dx_name, F_dx, domain));
    varList.add(new Function(F_dy_name, F_dy, domain));
    varList.add(new Function(F_dz_name, F_dz, domain));
    varList.add(new Function(normalLengthName, normalLength, domain));
    varList.add(new Function(normalXName, normalX, domain));
    varList.add(new Function(normalYName, normalY, domain));
    varList.add(new Function(normalZName, normalZ, domain));
    varList.add(new Function(distanceToSurfaceName, distanceToSurface, domain));
    return (Function[]) BeanUtils.getArray(varList, Function.class);
}
Also used : Function(cbit.vcell.math.Function) Expression(cbit.vcell.parser.Expression) CompartmentSubDomain(cbit.vcell.math.CompartmentSubDomain) SubDomain(cbit.vcell.math.SubDomain) Domain(cbit.vcell.math.Variable.Domain) MembraneSubDomain(cbit.vcell.math.MembraneSubDomain) Vector(java.util.Vector)

Example 28 with Domain

use of cbit.vcell.math.Variable.Domain in project vcell by virtualcell.

the class DataInfoProvider method isDefined.

public boolean isDefined(DataIdentifier dataIdentifier, int dataIndex) {
    try {
        Domain varDomain = dataIdentifier.getDomain();
        if (varDomain == null || dataIdentifier.getVariableType().equals(VariableType.POSTPROCESSING)) {
            return true;
        }
        VariableType varType = dataIdentifier.getVariableType();
        if (pdeDataContext.getCartesianMesh().isChomboMesh() && !Double.isNaN(pdeDataContext.getDataValues()[dataIndex])) {
            return true;
        }
        if (varType.equals(VariableType.VOLUME) || varType.equals(VariableType.VOLUME_REGION)) {
            int subvol = pdeDataContext.getCartesianMesh().getSubVolumeFromVolumeIndex(dataIndex);
            if (simulationModelInfo.getVolumeNameGeometry(subvol) == null || simulationModelInfo.getVolumeNameGeometry(subvol).equals(varDomain.getName())) {
                return true;
            }
        } else if (varType.equals(VariableType.MEMBRANE) || varType.equals(VariableType.MEMBRANE_REGION)) {
            String memSubdomainName = pdeDataContext.getCartesianMesh().getMembraneSubdomainNamefromMemIndex(dataIndex);
            if (varDomain.getName().equals(memSubdomainName)) {
                return true;
            }
        }
    } catch (Exception e) {
        e.printStackTrace();
    }
    return false;
}
Also used : VariableType(cbit.vcell.math.VariableType) Domain(cbit.vcell.math.Variable.Domain)

Example 29 with Domain

use of cbit.vcell.math.Variable.Domain in project vcell by virtualcell.

the class DataSetControllerImpl method adjustMembraneAdjacentVolumeValues.

private void adjustMembraneAdjacentVolumeValues(OutputContext outputContext, double[][] dataToAdjust, boolean bTimeFormat, SimDataBlock fullDataValueSource, int[] volumeDataIndexes, int[] membraneIndexesInOut, VCDataIdentifier vcdID, String varName, CartesianMesh mesh, TimeInfo timeInfo) throws Exception {
    if (membraneIndexesInOut == null || membraneIndexesInOut.length == 0) {
        return;
    }
    if (bTimeFormat) {
        if (dataToAdjust.length != volumeDataIndexes.length + 1 || dataToAdjust[0].length != timeInfo.desiredTimeValues.length) {
            throw new IllegalArgumentException(this.getClass().getName() + ".adjustMembraneAdjacentVolumeValues array format wrong for time flag=" + bTimeFormat);
        }
    } else {
        if (dataToAdjust.length != timeInfo.desiredTimeValues.length || dataToAdjust[0].length != volumeDataIndexes.length) {
            throw new IllegalArgumentException(this.getClass().getName() + ".adjustMembraneAdjacentVolumeValues array format wrong for time flag=" + bTimeFormat);
        }
    }
    boolean bIsSpecial = false;
    AnnotatedFunction insideFunction = null;
    AnnotatedFunction outsideFunction = null;
    VCData vcData = getVCData(vcdID);
    DataIdentifier[] myDataIdentifers = getDataIdentifiers(outputContext, vcdID);
    for (int i = 0; i < myDataIdentifers.length; i++) {
        if (myDataIdentifers[i].getName().equals(varName)) {
            if (myDataIdentifers[i].getVariableType().equals(VariableType.MEMBRANE)) {
                throw new IllegalArgumentException(this.getClass().getName() + ".adjustMembraneAdjacentVolumeValues Not for Membrane Variables");
            }
            Expression insideExp = null;
            Expression outsideExp = null;
            if (myDataIdentifers[i].isFunction()) {
                AnnotatedFunction sourceFunction = null;
                AnnotatedFunction[] functionsArr = getFunctions(outputContext, vcdID);
                for (int j = 0; j < functionsArr.length; j++) {
                    if (functionsArr[j].getName().equals(varName)) {
                        // need to subsitute and flatten the expression since we no longer store simplified expression.
                        if (vcData instanceof SimulationData) {
                            sourceFunction = ((SimulationData) vcData).simplifyFunction(functionsArr[j]);
                        } else {
                            throw new Exception("DataSetControllerImpl::getTimeSeriesValues_private(): has to be SimulationData to get time plot.");
                        }
                        break;
                    }
                }
                Vector<DataSetIdentifier> dependencyList = identifyDataDependencies(sourceFunction);
                insideExp = new Expression(sourceFunction.getExpression());
                outsideExp = new Expression(sourceFunction.getExpression());
                for (int j = 0; j < dependencyList.size(); j++) {
                    insideExp.substituteInPlace(new Expression(dependencyList.elementAt(j).getName()), new Expression(dependencyList.elementAt(j).getName() + InsideVariable.INSIDE_VARIABLE_SUFFIX));
                    outsideExp.substituteInPlace(new Expression(dependencyList.elementAt(j).getName()), new Expression(dependencyList.elementAt(j).getName() + OutsideVariable.OUTSIDE_VARIABLE_SUFFIX));
                }
            } else {
                insideExp = new Expression(varName + InsideVariable.INSIDE_VARIABLE_SUFFIX);
                outsideExp = new Expression(varName + OutsideVariable.OUTSIDE_VARIABLE_SUFFIX);
            }
            if (insideExp != null && outsideExp != null) {
                insideExp.bindExpression(vcData);
                outsideExp.bindExpression(vcData);
                // TODO domain
                Domain domain = null;
                insideFunction = new AnnotatedFunction("", insideExp, domain, "", VariableType.MEMBRANE, FunctionCategory.PREDEFINED);
                outsideFunction = new AnnotatedFunction("", outsideExp, domain, "", VariableType.MEMBRANE, FunctionCategory.PREDEFINED);
                insideFunction.setExpression(insideExp.flatten());
                outsideFunction.setExpression(outsideExp.flatten());
                FieldFunctionArguments[] insideExpFieldFunctionArgs = FieldUtilities.getFieldFunctionArguments(insideExp);
                FieldFunctionArguments[] outsideExpFieldFunctionArgs = FieldUtilities.getFieldFunctionArguments(outsideExp);
                bIsSpecial = !isAllowOptimizedTimeDataRetrieval() || hasGradient(insideExp) || hasGradient(outsideExp) || (insideExpFieldFunctionArgs != null && insideExpFieldFunctionArgs.length > 0) || (outsideExpFieldFunctionArgs != null && outsideExpFieldFunctionArgs.length > 0);
                if (bIsSpecial && fullDataValueSource == null) {
                    throw new IllegalArgumentException(this.getClass().getName() + ".adjustMembraneAdjacentVolumeValues: special values need SimDataBlock");
                }
            }
            break;
        }
    }
    int crossingCount = 0;
    for (int j = 0; j < membraneIndexesInOut.length; j++) {
        if (membraneIndexesInOut[j] != -1) {
            crossingCount += 1;
        }
    }
    if (crossingCount > 0) {
        int[] crossingCondensedIndexes = new int[crossingCount];
        int[] crossingCondensedOrigLocation = new int[crossingCount];
        crossingCount = 0;
        for (int j = 0; j < membraneIndexesInOut.length; j++) {
            if (membraneIndexesInOut[j] != -1) {
                crossingCondensedOrigLocation[crossingCount] = j;
                crossingCondensedIndexes[crossingCount] = membraneIndexesInOut[j];
                crossingCount += 1;
            }
        }
        MultiFunctionIndexes mfi_inside = null;
        MultiFunctionIndexes mfi_outside = null;
        for (int j = 0; j < crossingCount; j++) {
            double specialInsideVal = (bIsSpecial ? interpolateVolDataValToMemb(mesh, crossingCondensedIndexes[j], fullDataValueSource, true, false) : 0);
            double specialOutsideVal = (bIsSpecial ? interpolateVolDataValToMemb(mesh, crossingCondensedIndexes[j], fullDataValueSource, false, false) : 0);
            VolumeIndexNearFar vinf_inside = interpolateFindNearFarIndex(mesh, crossingCondensedIndexes[j], true, false);
            VolumeIndexNearFar vinf_outside = interpolateFindNearFarIndex(mesh, crossingCondensedIndexes[j], false, false);
            if (vinf_inside.volIndexNear == volumeDataIndexes[crossingCondensedOrigLocation[j]]) {
                if (!bIsSpecial && mfi_inside == null) {
                    mfi_inside = new MultiFunctionIndexes(vcdID, insideFunction, crossingCondensedIndexes, timeInfo.wantsTheseTimes, null, outputContext);
                }
                for (int k = 0; k < timeInfo.desiredTimeValues.length; k++) {
                    if (bTimeFormat) {
                        dataToAdjust[crossingCondensedOrigLocation[j] + 1][k] = (bIsSpecial ? specialInsideVal : mfi_inside.evaluateTimeFunction(outputContext, k, j));
                    } else {
                        dataToAdjust[k][crossingCondensedOrigLocation[j]] = (bIsSpecial ? specialInsideVal : mfi_inside.evaluateTimeFunction(outputContext, k, j));
                    }
                }
            } else if (vinf_outside.volIndexNear == volumeDataIndexes[crossingCondensedOrigLocation[j]]) {
                if (!bIsSpecial && mfi_outside == null) {
                    mfi_outside = new MultiFunctionIndexes(vcdID, outsideFunction, crossingCondensedIndexes, timeInfo.wantsTheseTimes, null, outputContext);
                }
                for (int k = 0; k < timeInfo.desiredTimeValues.length; k++) {
                    if (bTimeFormat) {
                        dataToAdjust[crossingCondensedOrigLocation[j] + 1][k] = (bIsSpecial ? specialOutsideVal : mfi_outside.evaluateTimeFunction(outputContext, k, j));
                    } else {
                        dataToAdjust[k][crossingCondensedOrigLocation[j]] = (bIsSpecial ? specialOutsideVal : mfi_outside.evaluateTimeFunction(outputContext, k, j));
                    }
                }
            } else {
                throw new Exception("couldn't match 'near' indexes");
            }
        }
    } else {
        throw new IllegalArgumentException("No non-null membrane crossing indexes found");
    }
}
Also used : VCSimulationDataIdentifier(cbit.vcell.solver.VCSimulationDataIdentifier) ExternalDataIdentifier(org.vcell.util.document.ExternalDataIdentifier) VCDataIdentifier(org.vcell.util.document.VCDataIdentifier) FieldFunctionArguments(cbit.vcell.field.FieldFunctionArguments) ObjectNotFoundException(org.vcell.util.ObjectNotFoundException) XmlParseException(cbit.vcell.xml.XmlParseException) IOException(java.io.IOException) DataAccessException(org.vcell.util.DataAccessException) DivideByZeroException(cbit.vcell.parser.DivideByZeroException) CacheException(org.vcell.util.CacheException) ExpressionBindingException(cbit.vcell.parser.ExpressionBindingException) FileNotFoundException(java.io.FileNotFoundException) ExpressionException(cbit.vcell.parser.ExpressionException) MathException(cbit.vcell.math.MathException) Expression(cbit.vcell.parser.Expression) VariableDomain(cbit.vcell.math.VariableType.VariableDomain) Domain(cbit.vcell.math.Variable.Domain) AnnotatedFunction(cbit.vcell.solver.AnnotatedFunction)

Example 30 with Domain

use of cbit.vcell.math.Variable.Domain in project vcell by virtualcell.

the class SimulationData method getVarAndFunctionDataIdentifiers.

/**
 * This method was created in VisualAge.
 * @return java.lang.String[]
 */
public synchronized DataIdentifier[] getVarAndFunctionDataIdentifiers(OutputContext outputContext) throws IOException, DataAccessException {
    // Is this zip format?
    boolean bIsChombo = false;
    try {
        bIsChombo = isChombo();
    } catch (FileNotFoundException e) {
        e.printStackTrace(System.out);
    }
    File zipFile1 = getZipFile(bIsChombo, null);
    File zipFile2 = getZipFile(bIsChombo, 0);
    bZipFormat1 = false;
    bZipFormat2 = false;
    if (zipFile1.exists()) {
        bZipFormat1 = true;
    } else if (zipFile2.exists()) {
        bZipFormat2 = true;
    }
    refreshLogFile();
    if (!isComsol()) {
        try {
            refreshMeshFile();
        } catch (MathException e) {
            e.printStackTrace(System.out);
            throw new DataAccessException(e.getMessage());
        }
    }
    if (!isRulesData && !getIsODEData() && !isComsol() && dataFilenames != null) {
        // read variables only when I have never read the file since variables don't change
        if (dataSetIdentifierList.size() == 0) {
            File file = getPDEDataFile(0.0);
            DataSet dataSet = getPDEDataSet(file, 0.0);
            String[] varNames = dataSet.getDataNames();
            int[] varTypeInts = dataSet.getVariableTypeIntegers();
            if (varNames == null) {
                return null;
            }
            dataSetIdentifierList.clear();
            for (int i = 0; i < varNames.length; i++) {
                VariableType varType = null;
                try {
                    varType = VariableType.getVariableTypeFromInteger(varTypeInts[i]);
                } catch (IllegalArgumentException e) {
                    if (LG.isEnabledFor(Level.WARN)) {
                        LG.warn("Exception typing " + varNames[i] + " has unsupported type " + varTypeInts[i] + ": " + e.getMessage());
                    }
                    varType = SimulationData.getVariableTypeFromLength(mesh, dataSet.getDataLength(varNames[i]));
                }
                Domain domain = Variable.getDomainFromCombinedIdentifier(varNames[i]);
                String varName = Variable.getNameFromCombinedIdentifier(varNames[i]);
                dataSetIdentifierList.addElement(new DataSetIdentifier(varName, varType, domain));
            }
            refreshDataProcessingOutputInfo(outputContext);
            if (dataProcessingOutputInfo != null) {
                for (int i = 0; i < dataProcessingOutputInfo.getVariableNames().length; i++) {
                    if (dataProcessingOutputInfo.getPostProcessDataType(dataProcessingOutputInfo.getVariableNames()[i]).equals(DataProcessingOutputInfo.PostProcessDataType.image)) {
                        dataSetIdentifierList.addElement(new DataSetIdentifier(dataProcessingOutputInfo.getVariableNames()[i], VariableType.POSTPROCESSING, null));
                    }
                }
            }
        }
        // always read functions file since functions might change
        getFunctionDataIdentifiers(outputContext);
    }
    if ((isRulesData || getIsODEData()) && dataSetIdentifierList.size() == 0) {
        ODEDataBlock odeDataBlock = getODEDataBlock();
        if (odeDataBlock == null) {
            throw new DataAccessException("Results are not availabe yet. Please try again later.");
        }
        ODESimData odeSimData = odeDataBlock.getODESimData();
        int colCount = odeSimData.getColumnDescriptionsCount();
        // assume index=0 is time "t"
        int DATA_OFFSET = 1;
        dataSetIdentifierList.clear();
        for (int i = 0; i < (colCount - DATA_OFFSET); i++) {
            String varName = odeSimData.getColumnDescriptions(i + DATA_OFFSET).getDisplayName();
            // TODO domain
            Domain domain = null;
            dataSetIdentifierList.addElement(new DataSetIdentifier(varName, VariableType.NONSPATIAL, domain));
        }
    }
    if (isComsol() && dataSetIdentifierList.size() == 0) {
        ComsolSimFiles comsolSimFiles = getComsolSimFiles();
        if (comsolSimFiles.simTaskXMLFile != null) {
            try {
                String xmlString = FileUtils.readFileToString(comsolSimFiles.simTaskXMLFile);
                SimulationTask simTask = XmlHelper.XMLToSimTask(xmlString);
                Enumeration<Variable> variablesEnum = simTask.getSimulation().getMathDescription().getVariables();
                while (variablesEnum.hasMoreElements()) {
                    Variable var = variablesEnum.nextElement();
                    if (var instanceof VolVariable) {
                        dataSetIdentifierList.addElement(new DataSetIdentifier(var.getName(), VariableType.VOLUME, var.getDomain()));
                    } else if (var instanceof MemVariable) {
                        dataSetIdentifierList.addElement(new DataSetIdentifier(var.getName(), VariableType.MEMBRANE, var.getDomain()));
                    } else if (var instanceof Function) {
                        VariableType varType = VariableType.UNKNOWN;
                        if (var.getDomain() != null && var.getDomain().getName() != null) {
                            SubDomain subDomain = simTask.getSimulation().getMathDescription().getSubDomain(var.getDomain().getName());
                            if (subDomain instanceof CompartmentSubDomain) {
                                varType = VariableType.VOLUME;
                            } else if (subDomain instanceof MembraneSubDomain) {
                                varType = VariableType.MEMBRANE;
                            } else if (subDomain instanceof FilamentSubDomain) {
                                throw new RuntimeException("filament subdomains not supported");
                            } else if (subDomain instanceof PointSubDomain) {
                                varType = VariableType.POINT_VARIABLE;
                            }
                        }
                        dataSetIdentifierList.addElement(new DataSetIdentifier(var.getName(), varType, var.getDomain()));
                    } else if (var instanceof Constant) {
                        System.out.println("ignoring Constant " + var.getName());
                    } else if (var instanceof InsideVariable) {
                        System.out.println("ignoring InsideVariable " + var.getName());
                    } else if (var instanceof OutsideVariable) {
                        System.out.println("ignoring OutsideVariable " + var.getName());
                    } else {
                        throw new RuntimeException("unexpected variable " + var.getName() + " of type " + var.getClass().getName());
                    }
                }
            } catch (XmlParseException | ExpressionException e) {
                e.printStackTrace();
                throw new RuntimeException("failed to read sim task file, msg: " + e.getMessage(), e);
            }
        }
    }
    DataIdentifier[] dis = new DataIdentifier[dataSetIdentifierList.size()];
    for (int i = 0; i < dataSetIdentifierList.size(); i++) {
        DataSetIdentifier dsi = (DataSetIdentifier) dataSetIdentifierList.elementAt(i);
        String displayName = dsi.getName();
        if (dsi.isFunction()) {
            AnnotatedFunction f = null;
            for (int j = 0; j < annotatedFunctionList.size(); j++) {
                AnnotatedFunction function = (AnnotatedFunction) annotatedFunctionList.elementAt(j);
                if (function.getName().equals(dsi.getName())) {
                    f = function;
                    break;
                }
            }
            if (f != null) {
                displayName = f.getDisplayName();
            }
        }
        dis[i] = new DataIdentifier(dsi.getName(), dsi.getVariableType(), dsi.getDomain(), dsi.isFunction(), displayName);
    }
    return dis;
}
Also used : MembraneSubDomain(cbit.vcell.math.MembraneSubDomain) SimulationTask(cbit.vcell.messaging.server.SimulationTask) InsideVariable(cbit.vcell.math.InsideVariable) VolVariable(cbit.vcell.math.VolVariable) ReservedVariable(cbit.vcell.math.ReservedVariable) MemVariable(cbit.vcell.math.MemVariable) OutsideVariable(cbit.vcell.math.OutsideVariable) Variable(cbit.vcell.math.Variable) VCDataIdentifier(org.vcell.util.document.VCDataIdentifier) VCSimulationDataIdentifier(cbit.vcell.solver.VCSimulationDataIdentifier) ExternalDataIdentifier(org.vcell.util.document.ExternalDataIdentifier) Constant(cbit.vcell.math.Constant) FileNotFoundException(java.io.FileNotFoundException) PointSubDomain(cbit.vcell.math.PointSubDomain) ODESimData(cbit.vcell.solver.ode.ODESimData) InsideVariable(cbit.vcell.math.InsideVariable) ExpressionException(cbit.vcell.parser.ExpressionException) CompartmentSubDomain(cbit.vcell.math.CompartmentSubDomain) FilamentSubDomain(cbit.vcell.math.FilamentSubDomain) SubDomain(cbit.vcell.math.SubDomain) PointSubDomain(cbit.vcell.math.PointSubDomain) MembraneSubDomain(cbit.vcell.math.MembraneSubDomain) Function(cbit.vcell.math.Function) AnnotatedFunction(cbit.vcell.solver.AnnotatedFunction) MemVariable(cbit.vcell.math.MemVariable) DataAccessException(org.vcell.util.DataAccessException) AnnotatedFunction(cbit.vcell.solver.AnnotatedFunction) ComsolSimFiles(org.vcell.vis.io.ComsolSimFiles) VariableType(cbit.vcell.math.VariableType) VolVariable(cbit.vcell.math.VolVariable) XmlParseException(cbit.vcell.xml.XmlParseException) FilamentSubDomain(cbit.vcell.math.FilamentSubDomain) MathException(cbit.vcell.math.MathException) CompartmentSubDomain(cbit.vcell.math.CompartmentSubDomain) OutsideVariable(cbit.vcell.math.OutsideVariable) CompartmentSubDomain(cbit.vcell.math.CompartmentSubDomain) FilamentSubDomain(cbit.vcell.math.FilamentSubDomain) SubDomain(cbit.vcell.math.SubDomain) PointSubDomain(cbit.vcell.math.PointSubDomain) Domain(cbit.vcell.math.Variable.Domain) MembraneSubDomain(cbit.vcell.math.MembraneSubDomain) ZipFile(org.apache.commons.compress.archivers.zip.ZipFile) File(java.io.File)

Aggregations

Domain (cbit.vcell.math.Variable.Domain)54 CompartmentSubDomain (cbit.vcell.math.CompartmentSubDomain)35 Expression (cbit.vcell.parser.Expression)34 MembraneSubDomain (cbit.vcell.math.MembraneSubDomain)28 PointSubDomain (cbit.vcell.math.PointSubDomain)22 FilamentSubDomain (cbit.vcell.math.FilamentSubDomain)19 VolVariable (cbit.vcell.math.VolVariable)15 ExpressionException (cbit.vcell.parser.ExpressionException)14 Function (cbit.vcell.math.Function)13 SubDomain (cbit.vcell.math.SubDomain)13 Variable (cbit.vcell.math.Variable)13 AnnotatedFunction (cbit.vcell.solver.AnnotatedFunction)10 Element (org.jdom.Element)10 Constant (cbit.vcell.math.Constant)9 MemVariable (cbit.vcell.math.MemVariable)9 VariableHash (cbit.vcell.math.VariableHash)9 VariableType (cbit.vcell.math.VariableType)9 VolumeRegionVariable (cbit.vcell.math.VolumeRegionVariable)8 GeometryClass (cbit.vcell.geometry.GeometryClass)7 SubVolume (cbit.vcell.geometry.SubVolume)7