jscl.math.function.hyperbolic.Atanh Maven / Gradle / Ivy

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package jscl.math.function.hyperbolic;

import jscl.math.Generic;
import jscl.math.JsclInteger;
import jscl.math.NumericWrapper;
import jscl.math.Variable;
import jscl.math.function.ArcTrigonometric;
import jscl.math.function.Inverse;
import jscl.math.function.Ln;
import jscl.math.function.Root;

import javax.annotation.Nonnull;

public class Atanh extends ArcTrigonometric {
	public Atanh(Generic generic) {
		super("atanh", new Generic[]{generic});
	}

	public Generic derivative(int n) {
		return new Inverse(
				JsclInteger.valueOf(1).subtract(
						parameters[0].pow(2)
				)
		).selfExpand();
	}

	public Generic selfExpand() {
		if (parameters[0].signum() < 0) {
			return new Atanh(parameters[0].negate()).selfExpand().negate();
		} else if (parameters[0].signum() == 0) {
			return JsclInteger.valueOf(0);
		}
		return expressionValue();
	}

	public Generic selfElementary() {
		return new Ln(
				new Root(
						new Generic[]{
								JsclInteger.valueOf(1).add(parameters[0]),
								JsclInteger.valueOf(0),
								JsclInteger.valueOf(-1).add(parameters[0])
						},
						0
				).selfElementary()
		).selfElementary();
	}

	public Generic selfNumeric() {
		return ((NumericWrapper) parameters[0]).atanh();
	}

	@Nonnull
	public Variable newInstance() {
		return new Atanh(null);
	}
}