/**********************************************************************
 *
 * GEOS - Geometry Engine Open Source
 * http://geos.osgeo.org
 *
 * Copyright (C) 2009-2011 Sandro Santilli <strk@keybit.net>
 *
 * This is free software; you can redistribute and/or modify it under
 * the terms of the GNU Lesser General Public Licence as published
 * by the Free Software Foundation. 
 * See the COPYING file for more information.
 *
 **********************************************************************
 *
 * Last port: algorithm/Angle.java r378 (JTS-1.12)
 *
 **********************************************************************/

#include <cmath> 

#include <geos/algorithm/Angle.h>
#include <geos/algorithm/CGAlgorithms.h>
#include <geos/geom/Coordinate.h>

namespace geos {
namespace algorithm { // geos.algorithm

namespace { 
	const double PI = 3.14159265358979323846;
}

const double Angle::PI_TIMES_2 = 2.0 * PI; 
const double Angle::PI_OVER_2 = PI / 2.0;
const double Angle::PI_OVER_4 = PI / 4.0;

/* public static */
double
Angle::toDegrees(double radians)
{
      return (radians * 180) / (PI);
}

/* public static */
double
Angle::toRadians(double angleDegrees)
{
	return (angleDegrees * PI) / 180.0;
}

/* public static */
double
Angle::angle(const geom::Coordinate& p0,
             const geom::Coordinate& p1)
{
      double dx = p1.x - p0.x;
      double dy = p1.y - p0.y;
      return atan2(dy, dx);
}

/* public static */
double
Angle::angle(const geom::Coordinate& p)
{
	return atan2(p.y, p.x);
}

/* public static */
bool
Angle::isAcute(const geom::Coordinate& p0,
               const geom::Coordinate& p1,
               const geom::Coordinate& p2)
{
	// relies on fact that A dot B is positive iff A ang B is acute
	double dx0 = p0.x - p1.x;
	double dy0 = p0.y - p1.y;
	double dx1 = p2.x - p1.x;
	double dy1 = p2.y - p1.y;
	double dotprod = dx0 * dx1 + dy0 * dy1;
	return dotprod > 0;
}

/* public static */
bool
Angle::isObtuse(const geom::Coordinate& p0,
                const geom::Coordinate& p1,
                const geom::Coordinate& p2)
{
	// relies on fact that A dot B is negative iff A ang B is obtuse
	double dx0 = p0.x - p1.x;
	double dy0 = p0.y - p1.y;
	double dx1 = p2.x - p1.x;
	double dy1 = p2.y - p1.y;
	double dotprod = dx0 * dx1 + dy0 * dy1;
	return dotprod < 0;
}

/* public static */
double
Angle::angleBetween(const geom::Coordinate& tip1,
                    const geom::Coordinate& tail,
                    const geom::Coordinate& tip2)
{
	double a1 = angle(tail, tip1);
	double a2 = angle(tail, tip2);

	return diff(a1, a2);
}

/* public static */
double
Angle::angleBetweenOriented(const geom::Coordinate& tip1,
                            const geom::Coordinate& tail,
                            const geom::Coordinate& tip2)
{
	double a1 = angle(tail, tip1);
	double a2 = angle(tail, tip2);
	double angDel = a2 - a1;

	// normalize, maintaining orientation
	if (angDel <= -PI)
		return angDel + PI_TIMES_2;
	if (angDel > PI)
		return angDel - PI_TIMES_2;
	return angDel;
}

/* public static */
double
Angle::interiorAngle(const geom::Coordinate& p0, const geom::Coordinate& p1,
                     const geom::Coordinate& p2)
{
	double anglePrev = angle(p1, p0);
	double angleNext = angle(p1, p2);
	return fabs(angleNext - anglePrev);
}

/* public static */
int
Angle::getTurn(double ang1, double ang2)
{
	double crossproduct = sin(ang2 - ang1);

	if (crossproduct > 0) {
		return COUNTERCLOCKWISE;
	}
	if (crossproduct < 0) {
		return CLOCKWISE;
	}
	return NONE;
}

/* public static */
double
Angle::normalize(double angle)
{
	while (angle > PI)
		angle -= PI_TIMES_2;
	while (angle <= -PI)
		angle += PI_TIMES_2;
	return angle;
}

/* public static */
double
Angle::normalizePositive(double angle)
{
	if (angle < 0.0) {
		while (angle < 0.0)
			angle += PI_TIMES_2;
		// in case round-off error bumps the value over
		if (angle >= PI_TIMES_2)
			angle = 0.0;
	}
	else {
		while (angle >= PI_TIMES_2)
			angle -= PI_TIMES_2;
		// in case round-off error bumps the value under
		if (angle < 0.0)
			angle = 0.0;
	}
	return angle;
}

/* public static */
double
Angle::diff(double ang1, double ang2)
{
	double delAngle;

	if (ang1 < ang2) {
		delAngle = ang2 - ang1;
	} else {
		delAngle = ang1 - ang2;
	}

	if (delAngle > PI) {
		delAngle = (2 * PI) - delAngle;
	}

	return delAngle;
}

} // namespace geos.algorithm
} //namespace geos