tahoma2d/toonz/sources/common/tgeometry/tgeometry.cpp

#include "tgeometry.h"
#ifdef LINUX
#include <values.h>
#endif

using namespace std;

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

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

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

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

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

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

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

// 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 &center, 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 &center, 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 &center, 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;
}