// // Vector4.h // Kraken Engine / Hydra // // Copyright 2022 Kearwood Gilbert. All rights reserved. // // Redistribution and use in source and binary forms, with or without modification, are // permitted provided that the following conditions are met: // // 1. Redistributions of source code must retain the above copyright notice, this list of // conditions and the following disclaimer. // // 2. Redistributions in binary form must reproduce the above copyright notice, this list // of conditions and the following disclaimer in the documentation and/or other materials // provided with the distribution. // // THIS SOFTWARE IS PROVIDED BY KEARWOOD GILBERT ''AS IS'' AND ANY EXPRESS OR IMPLIED // WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND // FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL KEARWOOD GILBERT OR // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR // CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR // SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON // ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF // ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. // // The views and conclusions contained in the software and documentation are those of the // authors and should not be interpreted as representing official policies, either expressed // or implied, of Kearwood Gilbert. // #pragma once #include // for hash<> namespace kraken { class Vector3; class Vector4 { public: union { struct { float x, y, z, w; }; float c[4]; }; void init(); void init(float X, float Y, float Z, float W); void init(float v); void init(float *v); void init(const Vector4 &v); void init(const Vector3 &v, float W); static Vector4 Create(); static Vector4 Create(float X, float Y, float Z, float W); static Vector4 Create(float v); static Vector4 Create(float *v); static Vector4 Create(const Vector4 &v); static Vector4 Create(const Vector3 &v, float W); Vector4 operator +(const Vector4& b) const; Vector4 operator -(const Vector4& b) const; Vector4 operator +() const; Vector4 operator -() const; Vector4 operator *(const float v) const; Vector4 operator /(const float v) const; Vector4& operator +=(const Vector4& b); Vector4& operator -=(const Vector4& b); Vector4& operator *=(const float v); Vector4& operator /=(const float v); bool operator ==(const Vector4& b) const; bool operator !=(const Vector4& b) const; // Comparison operators are implemented to allow insertion into sorted containers such as std::set bool operator >(const Vector4& b) const; bool operator <(const Vector4& b) const; float& operator[](unsigned i); float operator[](unsigned i) const; float sqrMagnitude() const; // calculate the square of the magnitude (useful for comparison of magnitudes without the cost of a sqrt() function) float magnitude() const; void normalize(); static Vector4 Normalize(const Vector4 &v); static float Dot(const Vector4 &v1, const Vector4 &v2); static Vector4 Min(const Vector4 &v1, const Vector4 &v2); static Vector4 Max(const Vector4 &v1, const Vector4 &v2); static Vector4 Min(); static Vector4 Max(); static Vector4 Zero(); static Vector4 One(); static Vector4 Forward(); static Vector4 Backward(); static Vector4 Up(); static Vector4 Down(); static Vector4 Left(); static Vector4 Right(); static Vector4 Lerp(const Vector4 &v1, const Vector4 &v2, float d); static Vector4 Slerp(const Vector4 &v1, const Vector4 &v2, float d); static void OrthoNormalize(Vector4 &normal, Vector4 &tangent); // Gram-Schmidt Orthonormalization }; static_assert(std::is_pod::value, "kraken::Vector4 must be a POD type."); } // namespace kraken namespace std { template<> struct hash { public: size_t operator()(const kraken::Vector4 &s) const { size_t h1 = hash()(s.x); size_t h2 = hash()(s.y); size_t h3 = hash()(s.z); size_t h4 = hash()(s.w); return h1 ^ (h2 << 1) ^ (h3 << 2) ^ (h4 << 3); } }; } // namespace std