public int taxi_distance(
c_vector other)
{
return(Math.Abs(x - other.x)
+ Math.Abs(y - other.y)
+ Math.Abs(z - other.z));
}
public c_vector add(c_vector other)
{
return(new c_vector(
x + other.x,
y + other.y,
z + other.z));
}
public static c_matrix scale(c_vector s)
{
c_matrix result = identity();
result.values[0, 0] *= s.x;
result.values[1, 1] *= s.y;
result.values[2, 2] *= s.z;
return(result);
}
public static c_matrix translate(c_vector t)
{
c_matrix result = identity();
result.values[0, 3] += t.x;
result.values[1, 3] += t.y;
result.values[2, 3] += t.z;
return(result);
}
public c_vector multiply(c_vector vector)
{
// applies the current operation to the inputted vector.
c_vector result = new c_vector();
result.x = vector.x * this.values[0, 0]
+ vector.y * this.values[0, 1]
+ vector.z * this.values[0, 2]
+ this.values[0, 3];
result.y = vector.x * this.values[1, 0]
+ vector.y * this.values[1, 1]
+ vector.z * this.values[1, 2]
+ this.values[1, 3];
result.z = vector.x * this.values[2, 0]
+ vector.y * this.values[2, 1]
+ vector.z * this.values[2, 2]
+ this.values[2, 3];
return(result);
}
public bool equal_to(c_vector other)
{
return(x == other.x && y == other.y && z == other.z);
}
public c_vector(c_vector other)
{
x = other.x;
y = other.y;
z = other.z;
}