278 lines
8.4 KiB
Python
278 lines
8.4 KiB
Python
"""
|
|
Vector3 is a three dimensional vector class.
|
|
|
|
Below are examples of Vector3 use.
|
|
|
|
>>> from vector3 import Vector3
|
|
>>> origin = Vector3()
|
|
>>> origin
|
|
0.0, 0.0, 0.0
|
|
>>> pythagoras = Vector3( 3, 4, 0 )
|
|
>>> pythagoras
|
|
3.0, 4.0, 0.0
|
|
>>> pythagoras.magnitude()
|
|
5.0
|
|
>>> pythagoras.magnitudeSquared()
|
|
25
|
|
>>> triplePythagoras = pythagoras * 3.0
|
|
>>> triplePythagoras
|
|
9.0, 12.0, 0.0
|
|
>>> plane = pythagoras.dropAxis()
|
|
>>> plane
|
|
(3+4j)
|
|
"""
|
|
|
|
from __future__ import absolute_import
|
|
try:
|
|
import psyco
|
|
psyco.full()
|
|
except:
|
|
pass
|
|
#Init has to be imported first because it has code to workaround the python bug where relative imports don't work if the module is imported as a main module.
|
|
import __init__
|
|
|
|
from fabmetheus_utilities import xml_simple_writer
|
|
import math
|
|
import operator
|
|
|
|
|
|
__author__ = 'Enrique Perez (perez_enrique@yahoo.com)'
|
|
__credits__ = 'Nophead <http://forums.reprap.org/profile.php?12,28>\nArt of Illusion <http://www.artofillusion.org/>'
|
|
__date__ = '$Date: 2008/21/04 $'
|
|
__license__ = 'GNU Affero General Public License http://www.gnu.org/licenses/agpl.html'
|
|
|
|
|
|
class Vector3Index:
|
|
'A three dimensional vector index class.'
|
|
__slots__ = ['index', 'x', 'y', 'z']
|
|
|
|
def __init__( self, index, x = 0.0, y = 0.0, z = 0.0 ):
|
|
self.index = index
|
|
self.x = x
|
|
self.y = y
|
|
self.z = z
|
|
|
|
def __abs__(self):
|
|
'Get the magnitude of the Vector3.'
|
|
return math.sqrt( self.x * self.x + self.y * self.y + self.z * self.z )
|
|
|
|
magnitude = __abs__
|
|
|
|
def __add__(self, other):
|
|
'Get the sum of this Vector3 and other one.'
|
|
return Vector3Index( self.index, self.x + other.x, self.y + other.y, self.z + other.z )
|
|
|
|
def __copy__(self):
|
|
'Get the copy of this Vector3.'
|
|
return Vector3Index( self.index, self.x, self.y, self.z )
|
|
|
|
__pos__ = __copy__
|
|
|
|
copy = __copy__
|
|
|
|
def __div__(self, other):
|
|
'Get a new Vector3 by dividing each component of this one.'
|
|
return Vector3Index( self.index, self.x / other, self.y / other, self.z / other )
|
|
|
|
def __eq__(self, other):
|
|
'Determine whether this vector is identical to other one.'
|
|
if other == None:
|
|
return False
|
|
if other.__class__ != self.__class__:
|
|
return False
|
|
return self.x == other.x and self.y == other.y and self.z == other.z
|
|
|
|
def __floordiv__(self, other):
|
|
'Get a new Vector3 by floor dividing each component of this one.'
|
|
return Vector3Index( self.index, self.x // other, self.y // other, self.z // other )
|
|
|
|
def __hash__(self):
|
|
'Determine whether this vector is identical to other one.'
|
|
return self.__repr__().__hash__()
|
|
|
|
def __iadd__(self, other):
|
|
'Add other Vector3 to this one.'
|
|
self.x += other.x
|
|
self.y += other.y
|
|
self.z += other.z
|
|
return self
|
|
|
|
def __idiv__(self, other):
|
|
'Divide each component of this Vector3.'
|
|
self.x /= other
|
|
self.y /= other
|
|
self.z /= other
|
|
return self
|
|
|
|
def __ifloordiv__(self, other):
|
|
'Floor divide each component of this Vector3.'
|
|
self.x //= other
|
|
self.y //= other
|
|
self.z //= other
|
|
return self
|
|
|
|
def __imul__(self, other):
|
|
'Multiply each component of this Vector3.'
|
|
self.x *= other
|
|
self.y *= other
|
|
self.z *= other
|
|
return self
|
|
|
|
def __isub__(self, other):
|
|
'Subtract other Vector3 from this one.'
|
|
self.x -= other.x
|
|
self.y -= other.y
|
|
self.z -= other.z
|
|
return self
|
|
|
|
def __itruediv__(self, other):
|
|
'True divide each component of this Vector3.'
|
|
self.x = operator.truediv( self.x, other )
|
|
self.y = operator.truediv( self.y, other )
|
|
self.z = operator.truediv( self.z, other )
|
|
return self
|
|
|
|
def __mul__(self, other):
|
|
'Get a new Vector3 by multiplying each component of this one.'
|
|
return Vector3Index( self.index, self.x * other, self.y * other, self.z * other )
|
|
|
|
def __ne__(self, other):
|
|
'Determine whether this vector is not identical to other one.'
|
|
return not self.__eq__(other)
|
|
|
|
def __neg__(self):
|
|
return Vector3Index( self.index, - self.x, - self.y, - self.z )
|
|
|
|
def __nonzero__(self):
|
|
return self.x != 0 or self.y != 0 or self.z != 0
|
|
|
|
def __rdiv__(self, other):
|
|
'Get a new Vector3 by dividing each component of this one.'
|
|
return Vector3Index( self.index, other / self.x, other / self.y, other / self.z )
|
|
|
|
def __repr__(self):
|
|
'Get the string representation of this Vector3 index.'
|
|
return '(%s, %s, %s, %s)' % (self.index, self.x, self.y, self.z)
|
|
|
|
def __rfloordiv__(self, other):
|
|
'Get a new Vector3 by floor dividing each component of this one.'
|
|
return Vector3Index( self.index, other // self.x, other // self.y, other // self.z )
|
|
|
|
def __rmul__(self, other):
|
|
'Get a new Vector3 by multiplying each component of this one.'
|
|
return Vector3Index( self.index, self.x * other, self.y * other, self.z * other )
|
|
|
|
def __rtruediv__(self, other):
|
|
'Get a new Vector3 by true dividing each component of this one.'
|
|
return Vector3Index( self.index, operator.truediv( other , self.x ), operator.truediv( other, self.y ), operator.truediv( other, self.z ) )
|
|
|
|
def __sub__(self, other):
|
|
'Get the difference between the Vector3 and other one.'
|
|
return Vector3Index( self.index, self.x - other.x, self.y - other.y, self.z - other.z )
|
|
|
|
def __truediv__(self, other):
|
|
'Get a new Vector3 by true dividing each component of this one.'
|
|
return Vector3Index( self.index, operator.truediv( self.x, other ), operator.truediv( self.y, other ), operator.truediv( self.z, other ) )
|
|
|
|
def _getAccessibleAttribute(self, attributeName):
|
|
'Get the accessible attribute.'
|
|
global globalGetAccessibleAttributeSet
|
|
if attributeName in globalGetAccessibleAttributeSet:
|
|
return getattr(self, attributeName, None)
|
|
return None
|
|
|
|
def _setAccessibleAttribute(self, attributeName, value):
|
|
'Set the accessible attribute.'
|
|
if attributeName in globalSetAccessibleAttributeSet:
|
|
setattr(self, attributeName, value)
|
|
|
|
def cross(self, other):
|
|
'Calculate the cross product of this vector with other one.'
|
|
return Vector3Index( self.index, self.y * other.z - self.z * other.y, - self.x * other.z + self.z * other.x, self.x * other.y - self.y * other.x )
|
|
|
|
def distance(self, other):
|
|
'Get the Euclidean distance between this vector and other one.'
|
|
return math.sqrt( self.distanceSquared(other) )
|
|
|
|
def distanceSquared(self, other):
|
|
'Get the square of the Euclidean distance between this vector and other one.'
|
|
separationX = self.x - other.x
|
|
separationY = self.y - other.y
|
|
separationZ = self.z - other.z
|
|
return separationX * separationX + separationY * separationY + separationZ * separationZ
|
|
|
|
def dot(self, other):
|
|
'Calculate the dot product of this vector with other one.'
|
|
return self.x * other.x + self.y * other.y + self.z * other.z
|
|
|
|
def dropAxis( self, which = 2 ):
|
|
'Get a complex by removing one axis of the vector3.'
|
|
if which == 0:
|
|
return complex( self.y, self.z )
|
|
if which == 1:
|
|
return complex( self.x, self.z )
|
|
if which == 2:
|
|
return complex( self.x, self.y )
|
|
|
|
def getFloatList(self):
|
|
'Get the vector as a list of floats.'
|
|
return [ float( self.x ), float( self.y ), float( self.z ) ]
|
|
|
|
def getIsDefault(self):
|
|
'Determine if this is the zero vector.'
|
|
if self.x != 0.0:
|
|
return False
|
|
if self.y != 0.0:
|
|
return False
|
|
return self.z == 0.0
|
|
|
|
def getNormalized(self):
|
|
'Get the normalized Vector3.'
|
|
magnitude = abs(self)
|
|
if magnitude == 0.0:
|
|
return self.copy()
|
|
return self / magnitude
|
|
|
|
def magnitudeSquared(self):
|
|
'Get the square of the magnitude of the Vector3.'
|
|
return self.x * self.x + self.y * self.y + self.z * self.z
|
|
|
|
def maximize(self, other):
|
|
'Maximize the Vector3.'
|
|
self.x = max(other.x, self.x)
|
|
self.y = max(other.y, self.y)
|
|
self.z = max(other.z, self.z)
|
|
|
|
def minimize(self, other):
|
|
'Minimize the Vector3.'
|
|
self.x = min(other.x, self.x)
|
|
self.y = min(other.y, self.y)
|
|
self.z = min(other.z, self.z)
|
|
|
|
def normalize(self):
|
|
'Scale each component of this Vector3 so that it has a magnitude of 1. If this Vector3 has a magnitude of 0, this method has no effect.'
|
|
magnitude = abs(self)
|
|
if magnitude != 0.0:
|
|
self /= magnitude
|
|
|
|
def reflect( self, normal ):
|
|
'Reflect the Vector3 across the normal, which is assumed to be normalized.'
|
|
distance = 2 * ( self.x * normal.x + self.y * normal.y + self.z * normal.z )
|
|
return Vector3Index( self.index, self.x - distance * normal.x, self.y - distance * normal.y, self.z - distance * normal.z )
|
|
|
|
def setToVector3(self, other):
|
|
'Set this Vector3 to be identical to other one.'
|
|
self.x = other.x
|
|
self.y = other.y
|
|
self.z = other.z
|
|
|
|
def setToXYZ( self, x, y, z ):
|
|
'Set the x, y, and z components of this Vector3.'
|
|
self.x = x
|
|
self.y = y
|
|
self.z = z
|
|
|
|
|
|
globalGetAccessibleAttributeSet = 'x y z'.split()
|
|
globalSetAccessibleAttributeSet = globalGetAccessibleAttributeSet
|