SS.Calculus 1.3.0

export record AdaptiveMultidimensionalIntegralResult(public double value, public double errorEstimate, public int evaluations, public int refinements, public bool converged, public string diagnostic)

export interface BivariateFunction

export record CalculusDomainValidation(public bool supported, public int probes, public int[] invalidProbeIndices, public string[] diagnostics, public string diagnostic)

export function calculusJacobian(Expression[] values, Symbol[] variables, int maxNodes) -> ExpressionMatrix

export function centralDifference(double before, double after, double spacing) -> DerivativeResult

export record DerivativeResult(public double value, public double errorEstimate, public bool converged, public string diagnostic)

export function exactPolynomialIntegral(Polynomial value, Rational lower, Rational upper) -> Rational

export function integrateAdaptiveND(MultivariateFunction integrand, double[] lower, double[] upper, double absoluteTolerance, double relativeTolerance, int maximumRefinements, int maximumEvaluations) -> AdaptiveMultidimensionalIntegralResult

export function integrateAdaptiveVariable2D(BivariateFunction integrand, ScalarFunction lowerBound, ScalarFunction upperBound, double xLower, double xUpper, int initialXIntervals, int initialYIntervals, double absoluteTolerance, double relativeTolerance, int maximumRefinements) -> AdaptiveMultidimensionalIntegralResult

export function integrateSamples(double[] samples, double spacing) -> QuadratureResult

export function integrateVariable2D(BivariateFunction integrand, ScalarFunction lowerBound, ScalarFunction upperBound, double xLower, double xUpper, int xIntervals, int yIntervals, double tolerance) -> MultidimensionalIntegralResult

export function mixedPartialDerivative(Expression value, Symbol[] differentiationOrder, Symbol[] differentiableVariables, int[] maximumOrders, int maxNodes) -> Expression

export record MultidimensionalIntegralResult(public double value, public double errorEstimate, public int evaluations, public bool converged, public string diagnostic)

export interface MultivariateFunction

export function richardsonDerivative(double coarse, double fine, double tolerance) -> DerivativeResult

export function symbolicAntiderivative(Expression value, Symbol variable, int maxNodes) -> AntiderivativeResult

export function symbolicDerivative(Expression value, Symbol variable, int maxNodes) -> Expression

export function symbolicDerivativeOrder(Expression value, Symbol variable, int order, int maxNodes) -> Expression

export function symbolicGradient(Expression value, Symbol[] variables, int maxNodes) -> Expression[]

export function symbolicHessian(Expression value, Symbol[] variables, int maxNodes) -> ExpressionMatrix

export function validateCalculusDomain(MultivariateFunction functionValue, double[][] probePoints) -> CalculusDomainValidation