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include/Spectre/Math/Matrix4.h

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+
+#ifndef SPECTRE_MATH_MATRIX4_H
+#define SPECTRE_MATH_MATRIX4_H
+
+// 4x4 matrix implementation.
+
+#include <string>
+#include <iostream>
+#include <Spectre/Math/Vector3.h>
+#include <Spectre/Math/Vector2.h>
+
+template<typename T>
+struct Matrix4
+{
+	// Column-major order are used for the matrices here to be compatible with OpenGL.
+	union {
+		T m[4][4]; // format: [col][row]
+
+		/* Indicies to use for accessing elements.
+			_          _
+			|           |
+			| 0 4 8  12 |
+			| 1 5 9  13 |
+			| 2 6 10 14 |
+			| 3 7 11 15 |
+			|_         _|
+		*/
+		T e[16];
+	};
+
+	static const Matrix4<T> Identity;
+
+	inline Matrix4();
+	inline Matrix4(
+		T a00, T a01, T a02, T a03,
+		T a10, T a11, T a12, T a13,
+		T a20, T a21, T a22, T a23,
+		T a30, T a31, T a32, T a33);
+
+	inline Matrix4(T *a);
+
+	// -------------------
+	//  Copy & Assignment
+	// -------------------
+
+	template <typename U>
+	inline Matrix4(const Matrix4<U>& mat);
+
+	inline Matrix4<T>& operator=(const Matrix4<T>& mat);
+
+	// ------------------
+	//  Named operations
+	// ------------------
+
+	// Transpose matrix.
+	Matrix4<T> transpose() const;
+
+	std::string toString() const;
+};
+
+// -----------------
+// Compare
+// -----------------
+
+template <typename T>
+inline bool operator==(const Matrix4<T>& a, const Matrix4<T>& b);
+template <typename T>
+inline bool operator!=(const Matrix4<T>& a, const Matrix4<T>& b);
+
+// --------------------------
+// Arithmetic: Matrix-Matrix
+// --------------------------
+
+template <typename T>
+inline Matrix4<T> operator*(const Matrix4<T>& a, const Matrix4<T>& b);
+template <typename T>
+inline Matrix4<T>& operator*=(Matrix4<T>& a, const Matrix4<T>& b);
+
+// --------------------------
+// Arithmetic: Matrix-Vector
+// --------------------------
+
+template <typename T>
+inline Vector3<T> operator*(const Matrix4<T>& mat, const Vector3<T>& vec);
+
+template <typename T>
+inline std::ostream& operator<<(std::ostream &s, const Matrix4<T>& mat);
+
+// -----------------------------
+//  Common specialization types
+// -----------------------------
+
+typedef Matrix4<float>		Matrix4f;
+typedef Matrix4<double>		Matrix4d;
+typedef Matrix4<int>		Matrix4i;
+typedef Matrix4<unsigned>	Matrix4u;
+
+typedef Matrix4<float>		mat4f;
+typedef Matrix4<double>		mat4d;
+typedef Matrix4<int>		mat4i;
+typedef Matrix4<unsigned>	mat4u;
+
+// ----------------
+//  Implementation
+// ----------------
+
+#include "Matrix4.inl"
+
+#endif /* SPECTRE_MATH_MATRIX4_H */