#include "tgeometry.h"

#ifdef LINUX

#include <values.h></values.h>

#endif

using namespace std;

const T3DPointD TConsts::nap3d((numeric_limits<double>::max)(),</double>

							   (numeric_limits<double>::max)(),</double>

							   (numeric_limits<double>::max)());</double>

const TThickPoint TConsts::natp((numeric_limits<double>::max)(),</double>

								(numeric_limits<double>::max)(),</double>

								(numeric_limits<double>::max)());</double>

const TPointD TConsts::napd((numeric_limits<double>::max)(),</double>

							(numeric_limits<double>::max)());</double>

const TPointI TConsts::nap((numeric_limits<int>::max)(),</int>

						   (numeric_limits<int>::max)());</int>

const TRectD TConsts::infiniteRectD(-(numeric_limits<double>::max)(),</double>

									-(numeric_limits<double>::max)(),</double>

									(numeric_limits<double>::max)(),</double>

									(numeric_limits<double>::max)());</double>

const TRectI TConsts::infiniteRectI(-(numeric_limits<int>::max)(),</int>

									-(numeric_limits<int>::max)(),</int>

									(numeric_limits<int>::max)(),</int>

									(numeric_limits<int>::max)());</int>

//==================================================================================================

// operazioni fra affini

TAffine &TAffine::operator=(const TAffine &a)

{

	a11 = a.a11;

	a12 = a.a12;

	a13 = a.a13;

	a21 = a.a21;

	a22 = a.a22;

	a23 = a.a23;

	return *this;

}

//--------------------------------------------------------------------------------------------------

TAffine TAffine::operator*(const TAffine &b) const

{

	return TAffine(

		a11 * b.a11 + a12 * b.a21,

		a11 * b.a12 + a12 * b.a22,

		a11 * b.a13 + a12 * b.a23 + a13,

		a21 * b.a11 + a22 * b.a21,

		a21 * b.a12 + a22 * b.a22,

		a21 * b.a13 + a22 * b.a23 + a23);

}

//--------------------------------------------------------------------------------------------------

TAffine TAffine::operator*=(const TAffine &b)

{

	return *this = *this * b;

}

//--------------------------------------------------------------------------------------------------

TAffine TAffine::inv() const

{

	if (a12 == 0.0 && a21 == 0.0) {

		assert(a11 != 0.0);

		assert(a22 != 0.0);

		double inv_a11 = 1.0 / a11;

		double inv_a22 = 1.0 / a22;

		return TAffine(inv_a11, 0, -a13 * inv_a11,

					   0, inv_a22, -a23 * inv_a22);

	} else if (a11 == 0.0 && a22 == 0.0) {

		assert(a12 != 0.0);

		assert(a21 != 0.0);

		double inv_a21 = 1.0 / a21;

		double inv_a12 = 1.0 / a12;

		return TAffine(0, inv_a21, -a23 * inv_a21,

					   inv_a12, 0, -a13 * inv_a12);

	} else {

		double d = 1. / det();

		return TAffine(a22 * d, -a12 * d, (a12 * a23 - a22 * a13) * d,

					   -a21 * d, a11 * d, (a21 * a13 - a11 * a23) * d);

	}

}

//--------------------------------------------------------------------------------------------------

double TAffine::det() const

{

	return a11 * a22 - a12 * a21;

}

//--------------------------------------------------------------------------------------------------

//Confronti tra affini

bool TAffine::operator==(const TAffine &a) const

{

	return a11 == a.a11 && a12 == a.a12 && a13 == a.a13 &&

		   a21 == a.a21 && a22 == a.a22 && a23 == a.a23;

}

//--------------------------------------------------------------------------------------------------

bool TAffine::operator!=(const TAffine &a) const

{

	return a11 != a.a11 || a12 != a.a12 || a13 != a.a13 ||

		   a21 != a.a21 || a22 != a.a22 || a23 != a.a23;

}

//--------------------------------------------------------------------------------------------------

bool TAffine::isIdentity(double err) const

{

	return ((a11 - 1.0) * (a11 - 1.0) + (a22 - 1.0) * (a22 - 1.0) +

			a12 * a12 + a13 * a13 + a21 * a21 + a23 * a23) < err;

}

//--------------------------------------------------------------------------------------------------

bool TAffine::isTranslation(double err) const

{

	return ((a11 - 1.0) * (a11 - 1.0) + (a22 - 1.0) * (a22 - 1.0) +

			a12 * a12 + a21 * a21) < err;

}

//--------------------------------------------------------------------------------------------------

bool TAffine::isIsotropic(double err) const

{

	return areAlmostEqual(a11, a22, err) && areAlmostEqual(a12, -a21, err);

}

//--------------------------------------------------------------------------------------------------

// applicazione

TPointD TAffine::operator*(const TPointD &p) const

{

	return TPointD(p.x * a11 + p.y * a12 + a13, p.x * a21 + p.y * a22 + a23);

}

//--------------------------------------------------------------------------------------------------

TRectD TAffine::operator*(const TRectD &rect) const

{

	if (rect != TConsts::infiniteRectD) {

		TPointD p1 = *this * rect.getP00(),

				p2 = *this * rect.getP01(),

				p3 = *this * rect.getP10(),

				p4 = *this * rect.getP11();

		return TRectD(tmin(p1.x, p2.x, p3.x, p4.x), tmin(p1.y, p2.y, p3.y, p4.y),

					  tmax(p1.x, p2.x, p3.x, p4.x), tmax(p1.y, p2.y, p3.y, p4.y));

	} else

		return TConsts::infiniteRectD;

}

//--------------------------------------------------------------------------------------------------

TAffine TAffine::place(double u, double v, double x, double y) const

{

	return TAffine(a11, a12, x - (a11 * u + a12 * v),

				   a21, a22, y - (a21 * u + a22 * v));

}

//--------------------------------------------------------------------------------------------------

TAffine TAffine::place(const TPointD &pIn, const TPointD &pOut) const

{

	return TAffine(a11, a12, pOut.x - (a11 * pIn.x + a12 * pIn.y),

				   a21, a22, pOut.y - (a21 * pIn.x + a22 * pIn.y));

}

//==================================================================================================

TRotation::TRotation(double degrees)

{

	double rad, sn, cs;

	int idegrees = (int)degrees;

	if ((double)idegrees == degrees && idegrees % 90 == 0) {

		switch ((idegrees / 90) & 3) {

		case 0:

			sn = 0;

			cs = 1;

			break;

		case 1:

			sn = 1;

			cs = 0;

			break;

		case 2:

			sn = 0;

			cs = -1;

			break;

		case 3:

			sn = -1;

			cs = 0;

			break;

		default:

			sn = 0;

			cs = 0;

			break;

		}

	} else {

		rad = degrees * (TConsts::pi_180);

		sn = sin(rad);

		cs = cos(rad);

		if (sn == 1 || sn == -1)

			cs = 0;

		if (cs == 1 || cs == -1)

			sn = 0;

	}

	a11 = cs;

	a12 = -sn;

	a21 = -a12;

	a22 = a11;

}

//--------------------------------------------------------------------------------------------------

TRotation::TRotation(const TPointD ¢er, double degrees)

{

	TAffine a = TTranslation(center) * TRotation(degrees) * TTranslation(-center);

	a11 = a.a11;

	a12 = a.a12;

	a13 = a.a13;

	a21 = a.a21;

	a22 = a.a22;

	a23 = a.a23;

}

//==================================================================================================

TScale::TScale(const TPointD ¢er, double sx, double sy)

{

	TAffine a = TTranslation(center) * TScale(sx, sy) * TTranslation(-center);

	a11 = a.a11;

	a12 = a.a12;

	a13 = a.a13;

	a21 = a.a21;

	a22 = a.a22;

	a23 = a.a23;

}

//--------------------------------------------------------------------------------------------------

TScale::TScale(const TPointD ¢er, double s)

{

	TAffine a = TTranslation(center) * TScale(s) * TTranslation(-center);

	a11 = a.a11;

	a12 = a.a12;

	a13 = a.a13;

	a21 = a.a21;

	a22 = a.a22;

	a23 = a.a23;

}