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+/*
+ * Vector3.h
+ * RVO2-3D Library
+ *
+ * Copyright 2008 University of North Carolina at Chapel Hill
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ *
+ * Please send all bug reports to <geom@cs.unc.edu>.
+ *
+ * The authors may be contacted via:
+ *
+ * Jur van den Berg, Stephen J. Guy, Jamie Snape, Ming C. Lin, Dinesh Manocha
+ * Dept. of Computer Science
+ * 201 S. Columbia St.
+ * Frederick P. Brooks, Jr. Computer Science Bldg.
+ * Chapel Hill, N.C. 27599-3175
+ * United States of America
+ *
+ * <http://gamma.cs.unc.edu/RVO2/>
+ */
+
+/**
+ * \file Vector3.h
+ * \brief Contains the Vector3 class.
+ */
+#ifndef RVO_VECTOR3_H_
+#define RVO_VECTOR3_H_
+
+#include "API.h"
+
+#include <cmath>
+#include <cstddef>
+#include <ostream>
+
+namespace RVO {
+ /**
+ * \brief Defines a three-dimensional vector.
+ */
+ class Vector3 {
+ public:
+ /**
+ * \brief Constructs and initializes a three-dimensional vector instance to zero.
+ */
+ RVO_API inline Vector3()
+ {
+ val_[0] = 0.0f;
+ val_[1] = 0.0f;
+ val_[2] = 0.0f;
+ }
+
+ /**
+ * \brief Constructs and initializes a three-dimensional vector from the specified three-element array.
+ * \param val The three-element array containing the xyz-coordinates.
+ */
+ RVO_API inline explicit Vector3(const float val[3])
+ {
+ val_[0] = val[0];
+ val_[1] = val[1];
+ val_[2] = val[2];
+ }
+
+ /**
+ * \brief Constructs and initializes a three-dimensional vector from the specified xyz-coordinates.
+ * \param x The x-coordinate of the three-dimensional vector.
+ * \param y The y-coordinate of the three-dimensional vector.
+ * \param z The z-coordinate of the three-dimensional vector.
+ */
+ RVO_API inline Vector3(float x, float y, float z)
+ {
+ val_[0] = x;
+ val_[1] = y;
+ val_[2] = z;
+ }
+
+ /**
+ * \brief Returns the x-coordinate of this three-dimensional vector.
+ * \return The x-coordinate of the three-dimensional vector.
+ */
+ RVO_API inline float x() const { return val_[0]; }
+
+ /**
+ * \brief Returns the y-coordinate of this three-dimensional vector.
+ * \return The y-coordinate of the three-dimensional vector.
+ */
+ RVO_API inline float y() const { return val_[1]; }
+
+ /**
+ * \brief Returns the z-coordinate of this three-dimensional vector.
+ * \return The z-coordinate of the three-dimensional vector.
+ */
+ RVO_API inline float z() const { return val_[2]; }
+
+ /**
+ * \brief Returns the specified coordinate of this three-dimensional vector.
+ * \param i The coordinate that should be returned (0 <= i < 3).
+ * \return The specified coordinate of the three-dimensional vector.
+ */
+ RVO_API inline float operator[](size_t i) const { return val_[i]; }
+
+ /**
+ * \brief Returns a reference to the specified coordinate of this three-dimensional vector.
+ * \param i The coordinate to which a reference should be returned (0 <= i < 3).
+ * \return A reference to the specified coordinate of the three-dimensional vector.
+ */
+ RVO_API inline float &operator[](size_t i) { return val_[i]; }
+
+ /**
+ * \brief Computes the negation of this three-dimensional vector.
+ * \return The negation of this three-dimensional vector.
+ */
+ RVO_API inline Vector3 operator-() const
+ {
+ return Vector3(-val_[0], -val_[1], -val_[2]);
+ }
+
+ /**
+ * \brief Computes the dot product of this three-dimensional vector with the specified three-dimensional vector.
+ * \param vector The three-dimensional vector with which the dot product should be computed.
+ * \return The dot product of this three-dimensional vector with a specified three-dimensional vector.
+ */
+ RVO_API inline float operator*(const Vector3 &vector) const
+ {
+ return val_[0] * vector[0] + val_[1] * vector[1] + val_[2] * vector[2];
+ }
+
+ /**
+ * \brief Computes the scalar multiplication of this three-dimensional vector with the specified scalar value.
+ * \param scalar The scalar value with which the scalar multiplication should be computed.
+ * \return The scalar multiplication of this three-dimensional vector with a specified scalar value.
+ */
+ RVO_API inline Vector3 operator*(float scalar) const
+ {
+ return Vector3(val_[0] * scalar, val_[1] * scalar, val_[2] * scalar);
+ }
+
+ /**
+ * \brief Computes the scalar division of this three-dimensional vector with the specified scalar value.
+ * \param scalar The scalar value with which the scalar division should be computed.
+ * \return The scalar division of this three-dimensional vector with a specified scalar value.
+ */
+ RVO_API inline Vector3 operator/(float scalar) const
+ {
+ const float invScalar = 1.0f / scalar;
+
+ return Vector3(val_[0] * invScalar, val_[1] * invScalar, val_[2] * invScalar);
+ }
+
+ /**
+ * \brief Computes the vector sum of this three-dimensional vector with the specified three-dimensional vector.
+ * \param vector The three-dimensional vector with which the vector sum should be computed.
+ * \return The vector sum of this three-dimensional vector with a specified three-dimensional vector.
+ */
+ RVO_API inline Vector3 operator+(const Vector3 &vector) const
+ {
+ return Vector3(val_[0] + vector[0], val_[1] + vector[1], val_[2] + vector[2]);
+ }
+
+ /**
+ * \brief Computes the vector difference of this three-dimensional vector with the specified three-dimensional vector.
+ * \param vector The three-dimensional vector with which the vector difference should be computed.
+ * \return The vector difference of this three-dimensional vector with a specified three-dimensional vector.
+ */
+ RVO_API inline Vector3 operator-(const Vector3 &vector) const
+ {
+ return Vector3(val_[0] - vector[0], val_[1] - vector[1], val_[2] - vector[2]);
+ }
+
+ /**
+ * \brief Tests this three-dimensional vector for equality with the specified three-dimensional vector.
+ * \param vector The three-dimensional vector with which to test for equality.
+ * \return True if the three-dimensional vectors are equal.
+ */
+ RVO_API inline bool operator==(const Vector3 &vector) const
+ {
+ return val_[0] == vector[0] && val_[1] == vector[1] && val_[2] == vector[2];
+ }
+
+ /**
+ * \brief Tests this three-dimensional vector for inequality with the specified three-dimensional vector.
+ * \param vector The three-dimensional vector with which to test for inequality.
+ * \return True if the three-dimensional vectors are not equal.
+ */
+ RVO_API inline bool operator!=(const Vector3 &vector) const
+ {
+ return val_[0] != vector[0] || val_[1] != vector[1] || val_[2] != vector[2];
+ }
+
+ /**
+ * \brief Sets the value of this three-dimensional vector to the scalar multiplication of itself with the specified scalar value.
+ * \param scalar The scalar value with which the scalar multiplication should be computed.
+ * \return A reference to this three-dimensional vector.
+ */
+ RVO_API inline Vector3 &operator*=(float scalar)
+ {
+ val_[0] *= scalar;
+ val_[1] *= scalar;
+ val_[2] *= scalar;
+
+ return *this;
+ }
+
+ /**
+ * \brief Sets the value of this three-dimensional vector to the scalar division of itself with the specified scalar value.
+ * \param scalar The scalar value with which the scalar division should be computed.
+ * \return A reference to this three-dimensional vector.
+ */
+ RVO_API inline Vector3 &operator/=(float scalar)
+ {
+ const float invScalar = 1.0f / scalar;
+
+ val_[0] *= invScalar;
+ val_[1] *= invScalar;
+ val_[2] *= invScalar;
+
+ return *this;
+ }
+
+ /**
+ * \brief Sets the value of this three-dimensional vector to the vector
+ * sum of itself with the specified three-dimensional vector.
+ * \param vector The three-dimensional vector with which the vector sum should be computed.
+ * \return A reference to this three-dimensional vector.
+ */
+ RVO_API inline Vector3 &operator+=(const Vector3 &vector)
+ {
+ val_[0] += vector[0];
+ val_[1] += vector[1];
+ val_[2] += vector[2];
+
+ return *this;
+ }
+
+ /**
+ * \brief Sets the value of this three-dimensional vector to the vector difference of itself with the specified three-dimensional vector.
+ * \param vector The three-dimensional vector with which the vector difference should be computed.
+ * \return A reference to this three-dimensional vector.
+ */
+ RVO_API inline Vector3 &operator-=(const Vector3 &vector)
+ {
+ val_[0] -= vector[0];
+ val_[1] -= vector[1];
+ val_[2] -= vector[2];
+
+ return *this;
+ }
+
+ private:
+ float val_[3];
+ };
+
+
+ /**
+ * \relates Vector3
+ * \brief Computes the scalar multiplication of the specified three-dimensional vector with the specified scalar value.
+ * \param scalar The scalar value with which the scalar multiplication should be computed.
+ * \param vector The three-dimensional vector with which the scalar multiplication should be computed.
+ * \return The scalar multiplication of the three-dimensional vector with the scalar value.
+ */
+ inline Vector3 operator*(float scalar, const Vector3 &vector)
+ {
+ return Vector3(scalar * vector[0], scalar * vector[1], scalar * vector[2]);
+ }
+
+ /**
+ * \relates Vector3
+ * \brief Computes the cross product of the specified three-dimensional vectors.
+ * \param vector1 The first vector with which the cross product should be computed.
+ * \param vector2 The second vector with which the cross product should be computed.
+ * \return The cross product of the two specified vectors.
+ */
+ inline Vector3 cross(const Vector3 &vector1, const Vector3 &vector2)
+ {
+ return Vector3(vector1[1] * vector2[2] - vector1[2] * vector2[1], vector1[2] * vector2[0] - vector1[0] * vector2[2], vector1[0] * vector2[1] - vector1[1] * vector2[0]);
+ }
+
+ /**
+ * \relates Vector3
+ * \brief Inserts the specified three-dimensional vector into the specified output stream.
+ * \param os The output stream into which the three-dimensional vector should be inserted.
+ * \param vector The three-dimensional vector which to insert into the output stream.
+ * \return A reference to the output stream.
+ */
+ inline std::ostream &operator<<(std::ostream &os, const Vector3 &vector)
+ {
+ os << "(" << vector[0] << "," << vector[1] << "," << vector[2] << ")";
+
+ return os;
+ }
+
+ /**
+ * \relates Vector3
+ * \brief Computes the length of a specified three-dimensional vector.
+ * \param vector The three-dimensional vector whose length is to be computed.
+ * \return The length of the three-dimensional vector.
+ */
+ inline float abs(const Vector3 &vector)
+ {
+ return std::sqrt(vector * vector);
+ }
+
+ /**
+ * \relates Vector3
+ * \brief Computes the squared length of a specified three-dimensional vector.
+ * \param vector The three-dimensional vector whose squared length is to be computed.
+ * \return The squared length of the three-dimensional vector.
+ */
+ inline float absSq(const Vector3 &vector)
+ {
+ return vector * vector;
+ }
+
+ /**
+ * \relates Vector3
+ * \brief Computes the normalization of the specified three-dimensional vector.
+ * \param vector The three-dimensional vector whose normalization is to be computed.
+ * \return The normalization of the three-dimensional vector.
+ */
+ inline Vector3 normalize(const Vector3 &vector)
+ {
+ return vector / abs(vector);
+ }
+}
+
+#endif