transformations.py

'''
Copyright {2017} {siddhartha singh | sidd5sci@gmail.com}

   Licensed under the Apache License, Version 2.0 (the "License");
   you may not use this file except in compliance with the License.
   You may obtain a copy of the License at

       http://www.apache.org/licenses/LICENSE-2.0

   Unless required by applicable law or agreed to in writing, software
   distributed under the License is distributed on an "AS IS" BASIS,
   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
   See the License for the specific language governing permissions and
   limitations under the License.
'''





import math


def translate3d(_object_,pos):
        # calculate the translations dx,dy,dz
        dx = pos[0]-_object_.pos.x
        dy = pos[1]-_object_.pos.y
        dz = pos[2]-_object_.pos.z
        #print _object_,dx,dy,dz
        _object_.pos.x,_object_.pos.y,_object_.pos.z = pos
        if dx!= 0 or dy!= 0 or dz!= 0:
            for i in range(0,len(_object_.vertex)):
                _object_.vertex[i][0] += dx
                _object_.vertex[i][1] += dy
                _object_.vertex[i][2] += dz
                
def translate3d_t(_object_,pos):
        # calculate the translations dx,dy,dz
        dx,dy,dz = pos
        #print _object_,dx,dy,dz
        _object_.pos.x += pos[0]
        _object_.pos.y += pos[1]
        _object_.pos.z += pos[2]
        if dx!= 0 or dy!= 0 or dz!= 0:
            for i in range(0,len(_object_.vertex)):
                _object_.vertex[i][0] += dx
                _object_.vertex[i][1] += dy
                _object_.vertex[i][2] += dz
                
def rotate3d(_object_,axis,dtheta,radius = 0):
        dx,dy,dz  = _object_.pos.get()
        translate3d_t(_object_,(-dx,-dy,-dz))
        c,s = math.cos(dtheta),math.sin(dtheta)
        if axis == 'x':
            for i in range(0,len(_object_.vertex)):
                temp = _object_.vertex[i][1]
                _object_.vertex[i][1] =  _object_.vertex[i][1]*c - _object_.vertex[i][2]*s
                _object_.vertex[i][2] =  temp*s + _object_.vertex[i][2]*c
        if axis == 'y':
            for i in range(0,len(_object_.vertex)):
                temp = _object_.vertex[i][0]
                _object_.vertex[i][0] =  _object_.vertex[i][0]*c - _object_.vertex[i][2]*s
                _object_.vertex[i][2] = temp*s + _object_.vertex[i][2]*c
        if axis == 'z':
            for i in range(0,len(_object_.vertex)):
                temp = _object_.vertex[i][0]
                _object_.vertex[i][0] =  _object_.vertex[i][0]*c + _object_.vertex[i][1]*s
                _object_.vertex[i][1] = -temp*s + _object_.vertex[i][1]*c
        # translating the object to the its location
        translate3d_t(_object_,(dx,dy,dz))

def rotate3d_t(_object_,axis,dtheta,radius = 0):
        dx,dy,dz  = _object_.pos.get()
        translate3d_t(_object_,(-dx,-dy,-dz))
        rotate3d(_object_,'x',-dtheta)
        rotate3d(_object_,'y',-dtheta)
        rotate3d(_object_,'z',dtheta)
        rotate3d(_object_,'x',dtheta)
        rotate3d(_object_,'y',dtheta)
        # translating the object to the its location
        translate3d_t(_object_,(dx,dy,dz))
def scale3d(_object_,scale):
        dx,dy,dz  = _object_.pos.get()
        translate3d_t(_object_,(-dx,-dy,-dz))
        sx,sy,sz = scale
        for i in range(0,len(_object_.vertex)):
            _object_.vertex[i][0] += _object_.vertex[i][0]*sx
            _object_.vertex[i][1] += _object_.vertex[i][1]*sy
            _object_.vertex[i][2] += _object_.vertex[i][2]*sz 
        translate3d_t(_object_,(dx,dy,dz))