/* 
GeoGebra - Dynamic Mathematics for Everyone
http://www.geogebra.org

This file is part of GeoGebra.

This program is free software; you can redistribute it and/or modify it 
under the terms of the GNU General Public License as published by 
the Free Software Foundation.

*/

package org.geogebra.common.kernel.geos;

import org.geogebra.common.kernel.Path;
import org.geogebra.common.kernel.arithmetic.ExpressionValue;
import org.geogebra.common.kernel.arithmetic.Function;
import org.geogebra.common.kernel.arithmetic.FunctionVariable;
import org.geogebra.common.kernel.kernelND.CurveEvaluable;
import org.apache.commons.math3.analysis.UnivariateFunction;

/**
 * Curve in parametric form (f(t),g(t))
 */
public interface ParametricCurve extends Traceable, Path, CurveEvaluable {
	@Override
	double getMinParameter();

	@Override
	double getMaxParameter();

	/**
	 * @return x-coord as function of parameter
	 */
	UnivariateFunction getUnivariateFunctionX();

	/**
	 * @return y-coord as function of parameter
	 */
	UnivariateFunction getUnivariateFunctionY();

	/**
	 * Evaluates the curve for given parameter value
	 * 
	 * @param t
	 *            parameter value
	 * @param out
	 *            array to store the result
	 */
	@Override
	void evaluateCurve(double t, double[] out);

	/**
	 * Evaluates the curve for given parameter value
	 * 
	 * @param t
	 *            parameter value
	 * @return result as GeoVec2D
	 */
	ExpressionValue evaluateCurve(double t);

	/**
	 * @param t
	 *            parameter value
	 * @return curvature at given parameter
	 */
	double evaluateCurvature(double t);

	/**
	 * @return true when this is function of x
	 */
	@Override
	boolean isFunctionInX();

	/**
	 * @param i
	 *            coordinate
	 * @return function
	 */
	Function getFun(int i);

	/**
	 * @return array of function variables
	 */
	FunctionVariable[] getFunctionVariables();

}