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transformations.py
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from drawLine import ViewPort,drawLine,drawAxis
from drawPolygon import drawPoly
import math,random
from graphics import *
'''
-50 0
100 0
125 50
25 100
-75 50
0 0
100 0
150 20
30 90
-100 -40
'''
def translation(vert,x,y,win):
#if f:input("translate by"+str(x)+str(y))
vert = [i+[1] for i in vert]
###Translation matrix
trans = [[1,0,0],[0,1,0],[-x,-y,1]]
result = [[int(sum(a*b for a,b in zip(A_row,B_col))) for B_col in zip(*trans) ] for A_row in vert]
result = [i[:-1] for i in result]
#drawPoly(result,win,'blue')
return result
def rotation(vert,x,y,angle,win):
vert = translation(vert,x,y,win)
vert =only_rotation(vert,x,y,angle,win)
result = translation(vert,-x,-y,win)
return result
def only_rotation(vert,x,y,angle,win):
#input("Rotate at"+str(x)+str(y)+" by"+str(angle)+"?")
angle = (math.pi*angle/180)
vert = [i+[1] for i in vert]
###Rotation matrix
trans = [[math.cos(angle),math.sin(angle),0],[-math.sin(angle),math.cos(angle),0],[0,0,1]]
result = [[int(sum(a*b for a,b in zip(A_row,B_col))) for B_col in zip(*trans) ] for A_row in vert]
result = [i[:-1] for i in result]
#drawPoly(result,win,'green2')
return result
def scale(vert,x,y,sx,sy,win):
vert = translation(vert,x,y,win)
result = only_scale(vert,x,y,sx,sy,win)
result = translation(result,-x,-y,win)
return result
def only_scale(vert,x,y,sx,sy,win):
#input("Scale at "+str(x)+str(y)+" by"+str(sx)+str(sy)+"?")
vert = [i+[1] for i in vert]
###Scale matrix
trans = [[sx,0,0],[0,sy,0],[0,0,1]]
result = [[int(sum(a*b for a,b in zip(A_row,B_col))) for B_col in zip(*trans) ] for A_row in vert]
result = [i[:-1] for i in result]
#drawPoly(result,win,'red2')
return result
def reflection(vert,x,y,angle,win):
vert = translation(vert,x,y,win)
vert = only_rotation(vert,x,y,angle,win)
vert = [i+[1] for i in vert]
###Reflection matrix
trans = [[-1,0,0],[0,1,0],[0,0,1]]
result = [[int(sum(a*b for a,b in zip(A_row,B_col))) for B_col in zip(*trans) ] for A_row in vert]
result = [i[:-1] for i in result]
#drawPoly(result,win,'green2')
result = only_rotation(result,x,y,-angle,win)
result = translation(result,-x,-y,win)
return result
def shear_x(vert,shx,win ):
vert = [i+[1] for i in vert]
###Shear matrix
trans = [[1,0,0],[shx,1,0],[0,0,1]]
result = [[int(sum(a*b for a,b in zip(A_row,B_col))) for B_col in zip(*trans) ] for A_row in vert]
result = [i[:-1] for i in result]
return result
def shear_y(vert,shy,win ):
vert = [i+[1] for i in vert]
###Shear matrix
trans = [[1,shy,0],[0,1,0],[0,0,1]]
result = [[int(sum(a*b for a,b in zip(A_row,B_col))) for B_col in zip(*trans) ] for A_row in vert]
result = [i[:-1] for i in result]
return result
def main():
vert=[]
while(1):
try:
x,y=map(int,input('Next vert?').split())
vert.append([x,y])
except:
print(vert)
break
if(input('Defualt viewPort is (-400 -400, 400 400). Change?(y/Y)')in ('y','Y')):
x,y=map(int,input('viewPort\'s xMax yMax : ').split())
new_view = ViewPort(-x,-y,x,y)
else:
new_view =ViewPort(-400,-400,400,400)
print('ViewPort :',new_view)
win = new_view.init_view()
drawPoly(vert,win)
while 1:
k=win.getKey()
#print(k,vert)
if k=="Left":
drawPoly(vert,win,color_rgb(44,44,44))
drawAxis(win,new_view)
vert = translation(vert,10,0,win)
drawPoly(vert,win,"red")
elif k=="Right":
drawPoly(vert,win,color_rgb(44,44,44))
drawAxis(win,new_view)
vert = translation(vert,-10,0,win)
drawPoly(vert,win,"red")
elif k=="Up":
drawPoly(vert,win,color_rgb(44,44,44))
drawAxis(win,new_view)
vert = translation(vert,0,-10,win)
drawPoly(vert,win,"red")
elif k=="Down":
drawPoly(vert,win,color_rgb(44,44,44))
drawAxis(win,new_view)
vert = translation(vert,0,10,win)
drawPoly(vert,win,"red")
elif k=="s":
drawPoly(vert,win,color_rgb(44,44,44))
drawAxis(win,new_view)
vert = only_scale(vert,0,0,2,2,win)
drawPoly(vert,win,"red")
elif k=="S":
drawPoly(vert,win,color_rgb(44,44,44))
drawAxis(win,new_view)
vert = only_scale(vert,0,0,0.5,0.5,win)
drawPoly(vert,win,"red")
elif k=="r":
drawPoly(vert,win,color_rgb(44,44,44))
drawAxis(win,new_view)
vert = only_rotation(vert,0,0,15,win)
drawPoly(vert,win,"red")
elif k=="R":
drawPoly(vert,win,color_rgb(44,44,44))
drawAxis(win,new_view)
vert = only_rotation(vert,0,0,-15,win)
drawPoly(vert,win,"red")
elif k=="f":
drawPoly(vert,win,color_rgb(44,44,44))
drawAxis(win,new_view)
vert = reflection(vert,0,0,45,win)
drawPoly(vert,win,"red")
elif k=="F":
drawPoly(vert,win,color_rgb(44,44,44))
drawAxis(win,new_view)
vert = reflection(vert,0,0,-45,win)
drawPoly(vert,win,"red")
elif k=="x":
drawPoly(vert,win,color_rgb(44,44,44))
drawAxis(win,new_view)
vert = shear_x(vert,1,win)
drawPoly(vert,win,"red")
elif k=="X":
drawPoly(vert,win,color_rgb(44,44,44))
drawAxis(win,new_view)
vert = shear_x(vert,-1,win)
drawPoly(vert,win,"red")
elif k=="y":
drawPoly(vert,win,color_rgb(44,44,44))
drawAxis(win,new_view)
vert = shear_y(vert,1,win)
drawPoly(vert,win,"red")
elif k=="Y":
drawPoly(vert,win,color_rgb(44,44,44))
drawAxis(win,new_view)
vert = shear_y(vert,-1,win)
drawPoly(vert,win,"red")
#else:
# break
if __name__ == "__main__":
main()