#include "tgeometry.h"

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) {

    double inv_a11 =

        (a11 == 0.0 ? std::numeric_limits<double>::max() / (1 << 16)</double>

                    : 1.0 / a11);

    double inv_a22 =

        (a22 == 0.0 ? std::numeric_limits<double>::max() / (1 << 16)</double>

                    : 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 =

        (a21 == 0.0 ? std::numeric_limits<double>::max() / (1 << 16)</double>

                    : 1.0 / a21);

    double inv_a12 =

        (a12 == 0.0 ? std::numeric_limits<double>::max() / (1 << 16)</double>

                    : 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(

        std::min({p1.x, p2.x, p3.x, p4.x}), std::min({p1.y, p2.y, p3.y, p4.y}),

        std::max({p1.x, p2.x, p3.x, p4.x}), std::max({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 * M_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;

}