# geom_tutor.py
# Walker M. White (wmw2)
# September 7, 2015
"""Code to show off an object in the Python tutor

Copy and past the following code into the tutor.  Put it in
a second (separate) tab, and rename the tab to geom"""

class Point3(object):
    """An instance is a point in 3 space."""
    
    def __init__(self,x,y,z):
        """**Constructor**: creates a new Point value (x,y,z).
        
            Parameter x: initial x value
            **Precondition**: value is an int or float.
        
            Parameter y: initial y value
            **Precondition**: value is an int or float.
        
            Parameter z: initial z value
            **Precondition**: value is an int or float.
        
        All values are 0.0 by default.
        """
        self.x = float(x)
        self.y = float(y)
        self.z = float(z)
    
    def __eq__(self, other):
        """**Returns**: True if self and other are equivalent Points. 
        
        This method uses numpy to test whether the coordinates are 
        "close enough".  It does not require exact equality for floats.
        
            :param other: value to compare against
        """        
        return (type(other) == Point3 and p.x == other.x and
                p.y == other.y and p.z == other.z)
    
    def distanceTo(self, other):
        """**Returns**: the Euclidean distance from this point to other
        
            Parameter other: value to compare against
            **Precondition**: value is a Tuple3 object.
        """
        return math.sqrt((self.x-other.x)*(self.x-other.x)+
                         (self.y-other.y)*(self.y-other.y)+
                         (self.z-other.z)*(self.z-other.z))
    
    def abs(self): 
        """Sets each component of this Tuple3 to its absolute value."""
        self.x = abs(self.x)
        self.y = abs(self.y)
        self.z = abs(self.z)