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+// SPDX-License-Identifier: GPL-2.0-or-later
+/**
+ * 3x4 transformation matrix to map points from projective 3-space into the projective plane
+ *
+ * Authors:
+ * Maximilian Albert <Anhalter42@gmx.de>
+ *
+ * Copyright (C) 2007 Authors
+ *
+ * Released under GNU GPL v2+, read the file 'COPYING' for more information.
+ */
+
+#ifndef SEEN_PROJ_PT_H
+#define SEEN_PROJ_PT_H
+
+#include <2geom/point.h>
+#include <cstdio>
+
+namespace Proj {
+
+const double epsilon = 1E-6;
+
+// TODO: Catch the case when the constructors are called with only zeros
+class Pt2 {
+public:
+ Pt2 () { pt[0] = 0; pt[1] = 0; pt[2] = 1.0; } // we default to (0 : 0 : 1)
+ Pt2 (double x, double y, double w) { pt[0] = x; pt[1] = y; pt[2] = w; }
+ Pt2 (Geom::Point const &point) { pt[0] = point[Geom::X]; pt[1] = point[Geom::Y]; pt[2] = 1; }
+ Pt2 (const char *coord_str);
+
+ inline double operator[] (unsigned int index) const {
+ if (index > 2) { return Geom::infinity(); }
+ return pt[index];
+ }
+ inline double &operator[] (unsigned int index) {
+ // FIXME: How should we handle wrong indices?
+ //if (index > 2) { return Geom::infinity(); }
+ return pt[index];
+ }
+ inline bool operator== (Pt2 &rhs) {
+ normalize();
+ rhs.normalize();
+ return (fabs(pt[0] - rhs.pt[0]) < epsilon &&
+ fabs(pt[1] - rhs.pt[1]) < epsilon &&
+ fabs(pt[2] - rhs.pt[2]) < epsilon);
+ }
+ inline bool operator!= (Pt2 &rhs) {
+ return !((*this) == rhs);
+ }
+
+ /*** For convenience, we define addition/subtraction etc. as "affine" operators (i.e.,
+ the result for finite points is the same as if the affine points were added ***/
+ inline Pt2 operator+(Pt2 &rhs) const {
+ Pt2 result (*this);
+ result.normalize();
+ rhs.normalize();
+ for ( unsigned i = 0 ; i < 2 ; ++i ) {
+ result.pt[i] += rhs.pt[i];
+ }
+ return result;
+ }
+
+ inline Pt2 operator-(Pt2 &rhs) const {
+ Pt2 result (*this);
+ result.normalize();
+ rhs.normalize();
+ for ( unsigned i = 0 ; i < 2 ; ++i ) {
+ result.pt[i] -= rhs.pt[i];
+ }
+ return result;
+ }
+
+ inline Pt2 operator*(double const s) const {
+ Pt2 result (*this);
+ result.normalize();
+ for ( unsigned i = 0 ; i < 2 ; ++i ) {
+ result.pt[i] *= s;
+ }
+ return result;
+ }
+
+ void normalize();
+ Geom::Point affine();
+ inline bool is_finite() { return pt[2] != 0; } // FIXME: Should we allow for some tolerance?
+ char *coord_string();
+ inline void print(char const *s) const { printf ("%s(%8.2f : %8.2f : %8.2f)\n", s, pt[0], pt[1], pt[2]); }
+
+private:
+ double pt[3];
+};
+
+
+class Pt3 {
+public:
+ Pt3 () { pt[0] = 0; pt[1] = 0; pt[2] = 0; pt[3] = 1.0; } // we default to (0 : 0 : 0 : 1)
+ Pt3 (double x, double y, double z, double w) { pt[0] = x; pt[1] = y; pt[2] = z; pt[3] = w; }
+ Pt3 (const char *coord_str);
+
+ inline bool operator== (Pt3 &rhs) {
+ normalize();
+ rhs.normalize();
+ return (fabs(pt[0] - rhs.pt[0]) < epsilon &&
+ fabs(pt[1] - rhs.pt[1]) < epsilon &&
+ fabs(pt[2] - rhs.pt[2]) < epsilon &&
+ fabs(pt[3] - rhs.pt[3]) < epsilon);
+ }
+
+ /*** For convenience, we define addition/subtraction etc. as "affine" operators (i.e.,
+ the result for finite points is the same as if the affine points were added ***/
+ inline Pt3 operator+(Pt3 &rhs) const {
+ Pt3 result(*this);
+ result.normalize();
+ rhs.normalize();
+ for ( unsigned i = 0 ; i < 3 ; ++i ) {
+ result.pt[i] += rhs.pt[i];
+ }
+ return result;
+ }
+
+ inline Pt3 operator-(Pt3 &rhs) const {
+ Pt3 result (*this);
+ result.normalize();
+ rhs.normalize();
+ for ( unsigned i = 0 ; i < 3 ; ++i ) {
+ result.pt[i] -= rhs.pt[i];
+ }
+ return result;
+ }
+
+ inline Pt3 operator*(double const s) const {
+ Pt3 result (*this);
+ result.normalize();
+ for ( unsigned i = 0 ; i < 3 ; ++i ) {
+ result.pt[i] *= s;
+ }
+ return result;
+ }
+
+ inline double operator[] (unsigned int index) const {
+ if (index > 3) { return Geom::infinity(); }
+ return pt[index];
+ }
+ inline double &operator[] (unsigned int index) {
+ // FIXME: How should we handle wrong indices?
+ //if (index > 3) { return Geom::infinity(); }
+ return pt[index];
+ }
+ void normalize();
+ inline bool is_finite() { return pt[3] != 0; } // FIXME: Should we allow for some tolerance?
+ char *coord_string();
+ inline void print(char const *s) const {
+ printf ("%s(%8.2f : %8.2f : %8.2f : %8.2f)\n", s, pt[0], pt[1], pt[2], pt[3]);
+ }
+
+private:
+ double pt[4];
+};
+
+} // namespace Proj
+
+#endif // !SEEN_PROJ_PT_H
+
+/*
+ Local Variables:
+ mode:c++
+ c-file-style:"stroustrup"
+ c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
+ indent-tabs-mode:nil
+ fill-column:99
+ End:
+*/
+// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:fileencoding=utf-8 :