215 lines
7.8 KiB
C++
215 lines
7.8 KiB
C++
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#include "tgeometry.h"
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using namespace std;
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const T3DPointD TConsts::nap3d((numeric_limits<double>::max)(),
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(numeric_limits<double>::max)(),
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(numeric_limits<double>::max)());
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const TThickPoint TConsts::natp((numeric_limits<double>::max)(),
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(numeric_limits<double>::max)(),
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(numeric_limits<double>::max)());
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const TPointD TConsts::napd((numeric_limits<double>::max)(),
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(numeric_limits<double>::max)());
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const TPointI TConsts::nap((numeric_limits<int>::max)(),
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(numeric_limits<int>::max)());
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const TRectD TConsts::infiniteRectD(-(numeric_limits<double>::max)(),
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-(numeric_limits<double>::max)(),
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(numeric_limits<double>::max)(),
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(numeric_limits<double>::max)());
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const TRectI TConsts::infiniteRectI(-(numeric_limits<int>::max)(),
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-(numeric_limits<int>::max)(),
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(numeric_limits<int>::max)(),
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(numeric_limits<int>::max)());
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//==================================================================================================
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// operazioni fra affini
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TAffine &TAffine::operator=(const TAffine &a) {
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a11 = a.a11;
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a12 = a.a12;
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a13 = a.a13;
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a21 = a.a21;
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a22 = a.a22;
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a23 = a.a23;
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return *this;
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}
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//--------------------------------------------------------------------------------------------------
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TAffine TAffine::operator*(const TAffine &b) const {
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return TAffine(a11 * b.a11 + a12 * b.a21, a11 * b.a12 + a12 * b.a22,
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a11 * b.a13 + a12 * b.a23 + a13,
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a21 * b.a11 + a22 * b.a21, a21 * b.a12 + a22 * b.a22,
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a21 * b.a13 + a22 * b.a23 + a23);
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}
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//--------------------------------------------------------------------------------------------------
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TAffine TAffine::operator*=(const TAffine &b) { return *this = *this * b; }
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//--------------------------------------------------------------------------------------------------
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TAffine TAffine::inv() const {
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if (a12 == 0.0 && a21 == 0.0) {
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double inv_a11 =
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(a11 == 0.0 ? std::numeric_limits<double>::max() / (1 << 16)
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: 1.0 / a11);
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double inv_a22 =
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(a22 == 0.0 ? std::numeric_limits<double>::max() / (1 << 16)
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: 1.0 / a22);
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return TAffine(inv_a11, 0, -a13 * inv_a11, 0, inv_a22, -a23 * inv_a22);
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} else if (a11 == 0.0 && a22 == 0.0) {
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assert(a12 != 0.0);
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assert(a21 != 0.0);
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double inv_a21 =
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(a21 == 0.0 ? std::numeric_limits<double>::max() / (1 << 16)
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: 1.0 / a21);
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double inv_a12 =
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(a12 == 0.0 ? std::numeric_limits<double>::max() / (1 << 16)
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: 1.0 / a12);
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return TAffine(0, inv_a21, -a23 * inv_a21, inv_a12, 0, -a13 * inv_a12);
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} else {
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double d = 1. / det();
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return TAffine(a22 * d, -a12 * d, (a12 * a23 - a22 * a13) * d, -a21 * d,
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a11 * d, (a21 * a13 - a11 * a23) * d);
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}
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}
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//--------------------------------------------------------------------------------------------------
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double TAffine::det() const { return a11 * a22 - a12 * a21; }
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//--------------------------------------------------------------------------------------------------
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// Confronti tra affini
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bool TAffine::operator==(const TAffine &a) const {
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return a11 == a.a11 && a12 == a.a12 && a13 == a.a13 && a21 == a.a21 &&
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a22 == a.a22 && a23 == a.a23;
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}
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//--------------------------------------------------------------------------------------------------
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bool TAffine::operator!=(const TAffine &a) const {
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return a11 != a.a11 || a12 != a.a12 || a13 != a.a13 || a21 != a.a21 ||
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a22 != a.a22 || a23 != a.a23;
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}
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//--------------------------------------------------------------------------------------------------
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bool TAffine::isIdentity(double err) const {
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return ((a11 - 1.0) * (a11 - 1.0) + (a22 - 1.0) * (a22 - 1.0) + a12 * a12 +
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a13 * a13 + a21 * a21 + a23 * a23) < err;
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}
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//--------------------------------------------------------------------------------------------------
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bool TAffine::isTranslation(double err) const {
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return ((a11 - 1.0) * (a11 - 1.0) + (a22 - 1.0) * (a22 - 1.0) + a12 * a12 +
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a21 * a21) < err;
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}
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//--------------------------------------------------------------------------------------------------
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bool TAffine::isIsotropic(double err) const {
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return areAlmostEqual(a11, a22, err) && areAlmostEqual(a12, -a21, err);
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}
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//--------------------------------------------------------------------------------------------------
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// applicazione
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TPointD TAffine::operator*(const TPointD &p) const {
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return TPointD(p.x * a11 + p.y * a12 + a13, p.x * a21 + p.y * a22 + a23);
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}
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//--------------------------------------------------------------------------------------------------
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TRectD TAffine::operator*(const TRectD &rect) const {
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if (rect != TConsts::infiniteRectD) {
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TPointD p1 = *this * rect.getP00(), p2 = *this * rect.getP01(),
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p3 = *this * rect.getP10(), p4 = *this * rect.getP11();
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return TRectD(
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std::min({p1.x, p2.x, p3.x, p4.x}), std::min({p1.y, p2.y, p3.y, p4.y}),
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std::max({p1.x, p2.x, p3.x, p4.x}), std::max({p1.y, p2.y, p3.y, p4.y}));
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} else
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return TConsts::infiniteRectD;
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}
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//--------------------------------------------------------------------------------------------------
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TAffine TAffine::place(double u, double v, double x, double y) const {
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return TAffine(a11, a12, x - (a11 * u + a12 * v), a21, a22,
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y - (a21 * u + a22 * v));
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}
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//--------------------------------------------------------------------------------------------------
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TAffine TAffine::place(const TPointD &pIn, const TPointD &pOut) const {
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return TAffine(a11, a12, pOut.x - (a11 * pIn.x + a12 * pIn.y), a21, a22,
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pOut.y - (a21 * pIn.x + a22 * pIn.y));
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}
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//==================================================================================================
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TRotation::TRotation(double degrees) {
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double rad, sn, cs;
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int idegrees = (int)degrees;
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if ((double)idegrees == degrees && idegrees % 90 == 0) {
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switch ((idegrees / 90) & 3) {
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case 0:
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sn = 0;
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cs = 1;
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break;
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case 1:
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sn = 1;
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cs = 0;
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break;
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case 2:
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sn = 0;
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cs = -1;
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break;
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case 3:
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sn = -1;
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cs = 0;
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break;
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default:
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sn = 0;
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cs = 0;
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break;
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}
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} else {
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rad = degrees * M_PI_180;
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sn = sin(rad);
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cs = cos(rad);
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if (sn == 1 || sn == -1) cs = 0;
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if (cs == 1 || cs == -1) sn = 0;
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}
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a11 = cs;
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a12 = -sn;
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a21 = -a12;
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a22 = a11;
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}
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//--------------------------------------------------------------------------------------------------
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TRotation::TRotation(const TPointD ¢er, double degrees) {
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TAffine a = TTranslation(center) * TRotation(degrees) * TTranslation(-center);
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a11 = a.a11;
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a12 = a.a12;
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a13 = a.a13;
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a21 = a.a21;
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a22 = a.a22;
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a23 = a.a23;
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}
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//==================================================================================================
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TScale::TScale(const TPointD ¢er, double sx, double sy) {
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TAffine a = TTranslation(center) * TScale(sx, sy) * TTranslation(-center);
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a11 = a.a11;
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a12 = a.a12;
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a13 = a.a13;
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a21 = a.a21;
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a22 = a.a22;
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a23 = a.a23;
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}
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//--------------------------------------------------------------------------------------------------
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TScale::TScale(const TPointD ¢er, double s) {
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TAffine a = TTranslation(center) * TScale(s) * TTranslation(-center);
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a11 = a.a11;
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a12 = a.a12;
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a13 = a.a13;
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a21 = a.a21;
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a22 = a.a22;
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a23 = a.a23;
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}
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