Add matrix type

exercise3/include/matrix.h

@@ -0,0 +1,126 @@
+#pragma once
+
+#include <cmath>
+
+#include "tiny_vec.h"
+
+template <class T>
+class Matrix4 {
+public:
+    Matrix4(
+        T c0r0, T c0r1, T c0r2, T c0r3,
+        T c1r0, T c1r1, T c1r2, T c1r3,
+        T c2r0, T c2r1, T c2r2, T c2r3,
+        T c3r0, T c3r1, T c3r2, T c3r3,
+    ) {
+        x = tiny_vec(c0r0, c0r1, c0r2, c0r3);
+        y = tiny_vec(c1r0, c1r1, c1r2, c1r3);
+        z = tiny_vec(c2r0, c2r1, c2r2, c2r3);
+        w = tiny_vec(c3r0, c3r1, c3r2, c3r3);
+    }
+
+    ~Matrix4() { }
+
+    static Matrix4 identity() 
+    {
+        T zero = T::value_type(0);
+        T one = T::value_type(1);
+
+        Matrix4(
+            one,  zero, zero, zero,
+            zero, one,  zero, zero,
+            zero, zero, one,  zero,
+            zero, zero, zero,  one
+        )
+    }
+
+    static Matrix4 from_translation(tiny_vec<T, 3> v)
+    {
+        T zero = T::value_type(0);
+        T one = T::value_type(1);
+
+        Matrix4(
+            one,  zero, zero, zero,
+            zero,  one, zero, zero,
+            zero, zero,  one, zero,
+            v.x,   v.y,  v.z,  one,
+        )
+    }
+
+    static Matrix4 from_scale(T s)
+    {
+        from_non_uniform_scale(s, s, s)
+    }
+
+    static Matrix4 from_non_uniform_scale(T x, T y, T z) 
+    {
+        T zero = T::value_type(0);
+        T one = T::value_type(1);
+
+        Matrix4(
+            x,    zero, zero, zero,
+            zero, y,    zero, zero,
+            zero, zero, z,    zero,
+            zero, zero, zero,  one,
+        )
+    }
+
+    static Matrix4 from_angle_x(T a)
+    {
+        T s = std::sin(a);
+        T c = std::cos(a);
+
+        T zero = T::value_type(0);
+        T one = T::value_type(1);
+
+        Matrix4(
+            one,  zero, zero, zero,
+            zero,    c,    s, zero,
+            zero,   -s,    c, zero,
+            zero, zero, zero,  one,
+        )
+    }
+    
+    static Matrix4 from_angle_y(T a)
+    {
+        T s = std::sin(a);
+        T c = std::cos(a);
+
+        T zero = T::value_type(0);
+        T one = T::value_type(1);
+
+        Matrix4(
+            c,    zero,   -s, zero,
+            zero, one,  zero, zero,
+            s,    zero,    c, zero,
+            zero, zero, zero,  one
+        )
+    }
+    
+    static Matrix4 from_angle_z(T a)
+    {
+        T s = std::sin(a);
+        T c = std::cos(a);
+
+        T zero = T::value_type(0);
+        T one = T::value_type(1);
+
+        Matrix4(
+            c,       s, zero, zero,
+            -s,      c, zero, zero,
+            zero, zero,  one, zero,
+            zero, zero, zero,  one
+        )
+    }
+    
+
+private:
+    // first column
+    tiny_vec<T, 4> x;
+    // second column
+    tiny_vec<T, 4> y;
+    // third column
+    tiny_vec<T, 4> z;
+    // fourth column
+    tiny_vec<T, 4> w;
+}