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# Copyright 2006-2007 Nanorex, Inc. See LICENSE file for details.
__author__ = 'oleksandr'
import types, operator, math
"""3D vector representation"""
class Triple:
def __init__(self, *args):
"""vector constructor"""
self.x = 0
self.y = 0
self.z = 0
if len(args) == 0:
pass
if len(args) == 1:
if isinstance(args[0], types.InstanceType):
self.x = args[0].x
self.y = args[0].y
self.z = args[0].z
elif isinstance(args[0], types.ListType):
self.x = args[0][0]
self.y = args[0][1]
self.z = args[0][2]
else:
self.x = args[0]
self.y = args[0]
self.z = args[0]
if len(args) == 2:
self.x = args[1][0] - args[0][0]
self.y = args[1][1] - args[0][1]
self.z = args[1][2] - args[0][2]
if len(args) == 3:
self.x, self.y, self.z = args
def __str__(self):
"""returns the triple in a textual form"""
s = ""
s += "%s " % self.x
s += "%s " % self.y
s += "%s " % self.z
return s
def Len2(self):
"""square of vector length"""
return self.x * self.x + self.y * self.y + self.z * self.z
def Len(self):
"""vector length"""
return math.sqrt(self.Len2())
def Normalize(self):
"""normalizes vector to unit length"""
length = self.Len();
self.x /= length
self.y /= length
self.z /= length
return self
def Greatest(self):
"""calculate greatest value"""
if self.x > self.y:
if self.x > self.z:
return self.x
else:
return self.z
else:
if self.y > self.z:
return self.y
else:
return self.z
def __add__( self, rhs ):
"""operator a + b"""
t = Triple(rhs)
return Triple(self.x + t.x, self.y + t.y, self.z + t.z)
def __radd__( self, lhs ):
"""operator b + a"""
t = Triple(lhs)
t.x += self.x
t.y += self.y
t.z += self.z
return t
def __sub__( self, rhs ):
"""operator a - b"""
t = Triple(rhs)
return Triple(self.x - t.x, self.y - t.y, self.z - t.z)
def __rsub__( self, lhs ):
"""operator b - a"""
t = Triple(lhs)
t.x -= self.x
t.y -= self.y
t.z -= self.z
return t
def __mul__( self, rhs ):
"""operator a * b"""
t = Triple(rhs)
return Triple(self.x * t.x, self.y * t.y, self.z * t.z)
def __rmul__( self, lhs ):
"""operator b * a"""
t = Triple(lhs)
t.x *= self.x
t.y *= self.y
t.z *= self.z
return t
def __div__( self, rhs ):
"""operator a / b"""
t = Triple(rhs)
return Triple(self.x / t.x, self.y / t.y, self.z / t.z)
def __rdiv__( self, lhs ):
"""operator b / a"""
t = Triple(lhs)
t.x /= self.x
t.y /= self.y
t.z /= self.z
return t
def __mod__( self, rhs ):
"""operator a % b (scalar product)"""
r = self.x * rhs.x + self.y * rhs.y + self.z * rhs.z
return r
def __neg__( self):
"""operator -a"""
return Triple(-self.x, -self.y, -self.z)
def Dot(lhs, rhs ):
"""function dot(a, b) (scalar product)"""
r = lhs.x * rhs.x + lhs.y * rhs.y + lhs.z * rhs.z
return r
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