feat(editor): switch templates by their geometry and a template editor: the diverging track is a chain of straights, arcs and transition curves from the start of the switch, with the pre-blade stretch and the angle of the blade at its tip; own templates are kept in eu07_switch_templates.txt and listed in the switch tool; double switches Rpd and Rpj are laid as two switches joined by the main track and handled as one set by sliding, replacing, flipping, the gizmo and deleting, with drives for both switches; self-test switchtemplates

editor/editorSwitchDesign.hpp

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+/*
+This Source Code Form is subject to the
+terms of the Mozilla Public License, v.
+2.0. If a copy of the MPL was not
+distributed with this file, You can
+obtain one at
+http://mozilla.org/MPL/2.0/.
+*/
+
+#pragma once
+
+#include <string>
+#include <vector>
+
+#include "world/Segment.h"
+
+// switches described by their geometry, of the catalogue and made by the user in the template editor: the main track is a
+// straight, the diverging track a chain of parts of linearly changing curvature from the start of the switch; a double switch
+// (Rpd to both sides, Rpj to one side) is two switches, the second starting on the main track of the first
+namespace switch_design
+{
+
+struct part
+{
+	double length{0.0};
+	double radius1{0.0}; // at the start of the part, 0 straight
+	double radius2{0.0}; // at its end; the same as radius1 for an arc, different for a transition curve
+};
+
+struct design
+{
+	std::string name;
+	std::string type{"Rz"}; // Rz, Rpd, Rpj
+	std::string rail{"-"};
+	double main{0.0}; // length of the main track, 0: as far as the diverging tracks reach
+	std::vector<part> parts;
+	double lead{0.0}; // the pre-blade stretch: the diverging track runs along the main one up to the tip of the blade
+	double entry{0.0}; // degrees, the angle of the blade to the stock rail at its tip, 0: the diverging track leaves tangentially
+	double stagger{0.0}; // of a double switch: where its second switch starts on the main track
+	std::vector<part> parts2; // of the second switch, empty: the same as the first
+	double lead2{-1.0}; // of the second switch, negative: the same as the first
+	double entry2{-1.0};
+	double a{0.0}; // as the catalogue gives them, 0: from the geometry
+	double b{0.0};
+	std::string note; // shown after the name on the list
+	bool own{false}; // made in the template editor, kept in the file of the user
+};
+
+bool double_switch(std::string const &Type);
+
+// diverging track of the chain of parts from the start, with the first direction along +z and turning to +x
+struct path
+{
+	segment_data whole; // the classic bezier, with the parts as its pieces when one bezier doesn't make them
+	double angle{0.0}; // at the end, radians
+	double radius{0.0}; // the sharpest
+};
+path diverging(std::vector<part> const &Parts, double Lead = 0.0, double Entry = 0.0);
+
+// the paths of the switch in its own space: the main and the diverging track of the first switch, then of the second one of a
+// double switch and the plain track joining the two; empty with the reason in Error when the design can't make a switch
+struct shape
+{
+	std::vector<segment_data> paths;
+	double length{0.0};
+	double ratio{0.0};
+	double radius{0.0};
+	double a{0.0};
+	double b{0.0};
+	double offset{0.0}; // of the end of the diverging track from the main one
+	double stagger{0.0};
+	double tip{0.0}; // of the blade, along the main track
+	double tip2{0.0};
+};
+shape build(design const &Design, std::string &Error);
+
+std::vector<design> catalogue();
+// templates of the user, kept in eu07_switch_templates.txt in the configuration directory
+std::vector<design> own();
+bool save_own(std::vector<design> const &Designs, std::string &Error);
+
+} // namespace switch_design