def createFromThreePoints(points):
"""Create an angle from 3 points."""
p1, p2, p3 = points
v1 = Vector.createFromTwoPoints(p2, p1)
v2 = Vector.createFromTwoPoints(p2, p3)
angle = v2.angle() - v1.angle()
return Angle(angle)
def show(self, context):
"""Show all the objects on screen."""
for object in self.objects:
object.center.showMotion(context)
object.show(context)
l = len(self.objects)
for i in range(l):
for j in range(i + 1, l):
points = self.objects[i].abstract | self.objects[j].abstract
if points != []:
self.objects[i].velocity *= 0
print(points)
l1 = Segment(*points[:2])
l1.color = mycolors.GREEN
l1.show(context)
p = l1.center
p.show(context, mode="cross", color=mycolors.RED)
c1 = self.objects[i].center.abstract
v = Vector.createFromTwoPoints(c1, p)
v.color = mycolors.GREEN
v.show(context, c1)
v.norm = 1
v.color = mycolors.BLUE
v.show(context, p)
v.showText(context, p, 'up')
v.rotate(math.pi / 2)
v.show(context, p)
v.showText(context, p, 'uo')
def enlarge(self, n):
center = self.center
for point in self.points:
v = n * Vector.createFromTwoPoints(center, point)
point.set(v(point))
# self._born *= n
self.updateBorn()
def show(self, surface, points):
"""Show the angle between the points."""
p1, p2 = points
#Need to be able to print arc of circles using pygame
v1 = Vector.createFromTwoPoints(p1, p2)
v1 = ~v1
v2 = v1 % self
p3 = v2(p2)
s1 = Segment(p1, p2)
s2 = Segment(p2, p3)
s1.show(surface)
s2.show(surface)
def shoot(self,context):
"""Return a missile."""
#logging.warning("This function is only a test and should not be included in the body class but in a child class instead.""")
keys=context.press()
point=Point(*context.point())
if keys[K_SPACE]:
center=Point(*self.position)
direction=Vector.createFromTwoPoints(center,point)
direction.norm=2
origin=Point.origin()
form=Segment(origin,direction(origin))
position=copy.deepcopy(self.position+direction(origin))
velocity=direction+copy.deepcopy(self.velocity)
return Missile(form,position,velocity)
def setCenter(self, nc):
"""Set the center of the material form."""
ac = self.getCenter()
v = Vector.createFromTwoPoints(nc, ac)
for point in self.points:
point += v
def setStep(self, step):
"""Set the velocity of the form so the next step is the given one."""
self.velocity = Vector.createFromTwoPoints(*step)
def getVector(self, t=1, **kwargs):
"""Return the vector made of the actual point and the future one."""
p1 = self.abstract
p2 = self.getNext(t).abstract
return Vector.createFromTwoPoints(p1, p2, **kwargs)
s2.show(surface)
p1 = s1.center
p1.show(surface, color=mycolors.RED)
p.showText(surface, "p")
p1.showText(surface, "p1")
p2.showText(surface, "p2")
p3.showText(surface, "p3")
pl = l1.crossLine(l2)
if pl:
pl.show(surface, color=mycolors.RED, mode="cross", width=3)
pl.showText(surface, "pl")
print("in s1:", pl in s1)
print("in s2:", pl in s2)
v1 = Vector.createFromTwoPoints(s1.p1, pl)
v1.color = mycolors.BLUE
v2 = s1.getVector()
v2.color = mycolors.YELLOW
print(abs(v1.angle - v2.angle) < e)
print(v1.norm <= v2.norm)
print(v1.norm, v2.norm)
v2.show(surface, s1.p1)
v2.showText(surface, s1.p1, text="v2")
v1.show(surface, s1.p1)
v1.showText(surface, s1.p1, text="v1")
v1 = Vector.createFromTwoPoints(s2.p1, pl)
v1.color = mycolors.BLUE
def crossCircle(self,other):
"""Determine if two circles are crossing."""
vector=Vector.createFromTwoPoints(self.center,other.center)
return vector.norm<self.radius+other.radius
surface.control()
surface.clear()
surface.show()
x,y=surface.point()
c1.setPosition(x,y)
if c1.crossCircle(c2):
fill=False
c1_border_color=mycolors.random()
c2_border_color=mycolors.random()
else:
fill=True
c1_area_color=mycolors.random()
c2_area_color=mycolors.random()
vector=Vector.createFromTwoPoints(c1.center,c2.center)
vector.show(surface,c1.center,color=mycolors.GREEN)
c1.show(surface,border_color=c1_border_color,area_color=c1_area_color,fill=fill)
c1.showText(surface,"C1")
c1.showRadius(surface)
c2.show(surface,border_color=c2_border_color,area_color=c2_area_color,fill=fill)
c2.showText(surface,"C2")
c1.showRadius(surface)
for c in cs:
c.show(surface)
surface.flip()
def getVectors(self):
"""Return the vectors that connect the points with their connections.
Unlike the segments the vectors show the orientation."""
return [Vector.createFromTwoPoints(self.points[c[0]], self.points[c[1]],\
color=self.vector_color) for c in self.connections]
