Add Mat4 translation function

Implemented creating a Mat4 that does translation.

src/sc_sacd.cpp

@@ -457,6 +457,11 @@ SC_SACD_Mat4 SC_SACD_Rotation_Mat4_ZAxis(float z_radians) {
   return mat;
 }
 
+SC_SACD_Mat4 SC_SACD_Translate_Mat4(float x, float y, float z) {
+  return SC_SACD_Mat4{0.0F, 0.0F, 0.0F, x, 0.0F, 1.0F, 0.0F, y,
+                      0.0F, 0.0F, 1.0F, z, 0.0F, 0.0F, 0.0F, 1.0F};
+}
+
 SC_SACD_Vec3 SC_SACD_Closest_Point_Dir_Normalized(const SC_SACD_Vec3 *pos,
                                                   const SC_SACD_Vec3 *dir,
                                                   const SC_SACD_Vec3 *point) {

src/sc_sacd.h

@@ -111,6 +111,8 @@ SC_SACD_EXPORT SC_SACD_Mat4 SC_SACD_Rotation_Mat4_XAxis(float x_radians);
 SC_SACD_EXPORT SC_SACD_Mat4 SC_SACD_Rotation_Mat4_YAxis(float y_radians);
 SC_SACD_EXPORT SC_SACD_Mat4 SC_SACD_Rotation_Mat4_ZAxis(float z_radians);
 
+SC_SACD_EXPORT SC_SACD_Mat4 SC_SACD_Translate_Mat4(float x, float y, float z);
+
 SC_SACD_EXPORT SC_SACD_Vec3 SC_SACD_Closest_Point_Dir_Normalized(
     const SC_SACD_Vec3 *pos, const SC_SACD_Vec3 *dir,
     const SC_SACD_Vec3 *point);

src/test.cpp

@@ -543,6 +543,24 @@ int main() {
       CHECK_FLOAT(result.z, std::sqrt(2.0F) / 2.0F);
     }
   }
+
+  // Mat4 rotation and translation.
+  {
+    SC_SACD_Mat4 mat_a = SC_SACD_Translate_Mat4(1.0F, 1.0F, 1.0F);
+    SC_SACD_Mat4 mat_b =
+        SC_SACD_Rotation_Mat4_ZAxis(std::numbers::pi_v<float> / 4.0F);
+    mat_a = SC_SACD_Mat4_Mult(&mat_b, &mat_a);
+    mat_b = SC_SACD_Translate_Mat4(0.0F, 0.0F, -1.0F);
+    mat_a = SC_SACD_Mat4_Mult(&mat_b, &mat_a);
+
+    {
+      auto result =
+          SC_SACD_Mat4_Vec3_Mult(&mat_a, SC_SACD_Vec3{0.0F, 0.0F, 0.0F});
+      CHECK_FLOAT(result.x, 0.0F);
+      CHECK_FLOAT(result.z, 0.0F);
+      CHECK_FLOAT(result.y, std::sqrt(2.0F));
+    }
+  }
   std::cout << "Checks checked: " << checks_checked << '\n'
             << "Checks passed:  " << checks_passed << '\n';