diff -r 2bdc3ac5e77c -r 55a55a9ec2c2 src/vertex.cpp
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/vertex.cpp	Sun Sep 22 11:51:41 2019 +0300
@@ -0,0 +1,215 @@
+/*
+ *  LDForge: LDraw parts authoring CAD
+ *  Copyright(C) 2013 - 2018 Teemu Piippo
+ *
+ *  This program is free software: you can redistribute it and/or modify
+ *  it under the terms of the GNU General Public License as published by
+ *  the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ *  This program is distributed in the hope that it will be useful,
+ *  but WITHOUT ANY WARRANTY; without even the implied warranty of
+ *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ *  GNU General Public License for more details.
+ *
+ *  You should have received a copy of the GNU General Public License
+ *  along with this program.  If not, see <http://www.gnu.org/licenses/>.
+ */
+
+#include "main.h"
+#include "vertex.h"
+
+/*
+void Vertex::transform(const Matrix& matrix, const Vertex& pos)
+{
+	double x2 = (matrix(0, 0) * x) + (matrix(0, 1) * y) + (matrix(0, 2) * z) + pos.x;
+	double y2 = (matrix(1, 0) * x) + (matrix(1, 1) * y) + (matrix(1, 2) * z) + pos.y;
+	double z2 = (matrix(2, 0) * x) + (matrix(2, 1) * y) + (matrix(2, 2) * z) + pos.z;
+	this->x = x2;
+	this->y = y2;
+	this->z = z2;
+}
+*/
+
+double& Vertex::operator[](Axis axis)
+{
+	switch (axis)
+	{
+	case X:
+		return this->x;
+	case Y:
+		return this->y;
+	case Z:
+		return this->z;
+	default:
+		throw std::runtime_error("Non-axis given to Vertex::operator[]");
+	}
+}
+
+double Vertex::operator[](Axis axis) const
+{
+	switch (axis)
+	{
+	case X:
+		return this->x;
+	case Y:
+		return this->y;
+	case Z:
+		return this->z;
+	default:
+		return 0.0;
+	}
+}
+
+void Vertex::setCoordinate(Axis axis, qreal value)
+{
+	(*this)[axis] = value;
+}
+
+Vertex VertexFromVector(const QVector3D& vector)
+{
+	return {vector.x(), vector.y(), vector.z()};
+}
+
+Vertex Vertex::operator*(qreal scalar) const
+{
+	return {this->x * scalar, this->y * scalar, this->z * scalar};
+}
+
+Vertex& Vertex::operator+=(const QVector3D& other)
+{
+	this->x += other.x();
+	this->y += other.y();
+	this->z += other.z();
+	return *this;
+}
+
+Vertex Vertex::operator+(const QVector3D& other) const
+{
+	Vertex result(*this);
+	result += other;
+	return result;
+}
+
+
+QVector3D vertexToVector(const Vertex& vertex)
+{
+	return {
+		static_cast<float>(vertex.x),
+		static_cast<float>(vertex.y),
+		static_cast<float>(vertex.z)
+	};
+}
+
+Vertex Vertex::operator-(const QVector3D& vector) const
+{
+	Vertex result = *this;
+	result -= vector;
+	return result;
+}
+
+Vertex& Vertex::operator-=(const QVector3D& vector)
+{
+	this->x -= vector.x();
+	this->y -= vector.y();
+	this->z -= vector.z();
+	return *this;
+}
+
+QVector3D Vertex::operator-(const Vertex& other) const
+{
+	return {
+		static_cast<float>(this->x - other.x),
+		static_cast<float>(this->y - other.y),
+		static_cast<float>(this->z - other.z)
+	};
+}
+
+Vertex& Vertex::operator*=(qreal scalar)
+{
+	x *= scalar;
+	y *= scalar;
+	z *= scalar;
+	return *this;
+}
+
+bool Vertex::operator==(const Vertex& other) const
+{
+	return this->x == other.x and this->y == other.y and this->z == other.z;
+}
+
+bool Vertex::operator!=(const Vertex& other) const
+{
+	return not(*this == other);
+}
+
+Vertex::operator QVariant() const
+{
+	return QVariant::fromValue<Vertex>(*this);
+}
+
+bool Vertex::operator<(const Vertex& other) const
+{
+	if (not qFuzzyCompare(this->x, other.x))
+		return this->x < other.x;
+	else if (not qFuzzyCompare(this->y, other.y))
+		return this->y < other.y;
+	else
+		return this->z < other.z;
+}
+
+/*
+ * Transforms this vertex with a tranformation matrix and returns the result.
+ */
+Vertex Vertex::transformed(const GLRotationMatrix& matrix) const
+{
+	return {
+		matrix(0, 0) * this->x
+			+ matrix(0, 1) * this->y
+			+ matrix(0, 2) * this->z,
+		matrix(1, 0) * this->x
+			+ matrix(1, 1) * this->y
+			+ matrix(1, 2) * this->z,
+		matrix(2, 0) * this->x
+			+ matrix(2, 1) * this->y
+			+ matrix(2, 2) * this->z,
+	};
+}
+
+/*
+ * Returns the distance from one vertex to another.
+ */
+qreal distance(const Vertex& one, const Vertex& other)
+{
+	return (one - other).length();
+}
+
+/*
+ * Returns a vertex with all coordinates inverted.
+ */
+Vertex operator-(const Vertex& vertex)
+{
+	return {-vertex.x, -vertex.y, -vertex.z};
+}
+
+/*
+ * Inserts this vertex into a data stream. This is needed for vertices to be
+ * stored in QSettings.
+ */
+QDataStream& operator<<(QDataStream& out, const Vertex& vertex)
+{
+	return out << vertex.x << vertex.y << vertex.z;
+}
+
+/*
+ * Takes a vertex from a data stream.
+ */
+QDataStream& operator>>(QDataStream& in, Vertex& vertex)
+{
+	return in >> vertex.x >> vertex.y >> vertex.z;
+}
+
+unsigned int qHash(const Vertex& key)
+{
+	return qHash(key.x) ^ rotl10(qHash(key.y)) ^ rotl20(qHash(key.z));
+}