First batch of matrix related functions

source/matrix.cpp

@@ -0,0 +1,82 @@
+/*
+ *  DoRayMe - a quick and dirty Raytracer
+ *  Matrix implementation
+ *
+ *  Created by Manoël Trapier
+ *  Copyright (c) 2020 986-Studio.
+ *
+ */
+
+#include <matrix.h>
+#include <tuples.h>
+#include <math_helper.h>
+
+bool Matrix::operator==(const Matrix &b) const
+{
+    int i;
+    if (this->width != b.width)
+    {
+        /* If they are not the same size don't even bother */
+        return false;
+    }
+
+    for(i = 0; i < this->width*this->width; i++)
+    {
+        if (!double_equal(this->data[i], b.data[i]))
+        {
+            return false;
+        }
+    }
+
+    return true;
+}
+
+bool Matrix::operator!=(const Matrix &b) const
+{
+    int i;
+    if (this->width != b.width)
+    {
+        /* If they are not the same size don't even bother */
+        return true;
+    }
+
+    for(i = 0; i < this->width*this->width; i++)
+    {
+        if (!double_equal(this->data[i], b.data[i]))
+        {
+            return true;
+        }
+    }
+    return false;
+}
+
+Matrix Matrix::operator*(const Matrix &b) const
+{
+    int x, y, k;
+    Matrix ret = Matrix(this->width);
+
+    if (this->width == b.width)
+    {
+        for (y = 0 ; y < this->width ; y++)
+        {
+            for (x = 0 ; x < this->width ; x++)
+            {
+                double v = 0;
+                for (k = 0 ; k < this->width ; k++)
+                {
+                    v += this->get(x, k) * b.get(k, y);
+                }
+                ret.set(x, y, v);
+            }
+        }
+    }
+    return ret;
+}
+
+Tuple Matrix::operator*(const Tuple &b) const
+{
+    return Tuple(b.x * this->get(0, 0) + b.y * this->get(0, 1) + b.z * this->get(0, 2) + b.w * this->get(0, 3),
+                 b.x * this->get(1, 0) + b.y * this->get(1, 1) + b.z * this->get(1, 2) + b.w * this->get(1, 3),
+                 b.x * this->get(2, 0) + b.y * this->get(2, 1) + b.z * this->get(2, 2) + b.w * this->get(2, 3),
+                 b.x * this->get(3, 0) + b.y * this->get(3, 1) + b.z * this->get(3, 2) + b.w * this->get(3, 3));
+}