我有一个带有遮罩的Healthbar。
我需要在Y轴上进行流体更换。
100％的位置是-185.6而0％的位置是-78.6，我希望能够有一个浮点数，其中0.0是-78.6，而100.0是-185.6，每当浮点数改变为介于两者之间时0和100它被改变为-185.6和-78.6之间的相应值。
答案 0 :(得分：1)
这应该在任何两个特定值之间提供线性比例。
import math
import numpy as np
import numpy.random as rand
import numpy.linalg as linalg
from tkinter import Tk, Frame, Canvas
class ArrayPQ:
def __init__(self, num_balls):
self.collisionNodes = np.array([])
self.pastCollisions = np.zeros(num_balls)
def parent(self, i):
return (i-1) // 2
def right(self, i):
return (i*2) + 1
def left(self, i):
return (i*2) + 2
def insert(self, i, j, value, num_collisions_i, num_collisions_j):
self.pastCollisions[i] = num_collisions_i
self.pastCollisions[j] = num_collisions_j
self.collisionNodes = np.append(self.collisionNodes, node.nodeinit(self, i, j, value, num_collisions_i, num_collisions_j))
self.heapify1(i)
def heapify1(self, i):
l = self.left(i)
r = self.right(i)
end = len(self.collisionNodes)
top = i
if l < end and self.collisionNodes(i) < self.collisionNodes(l):
top = l
if r < end and self.collisionNodes(top) < self.collisionNodes(r):
top = r
if max != i:
self.swap(i, top)
self.heapify1(top)
def heapify2(self, i):
if self.right(i) + len(self.collisionNodes)
def delete(self, i):
self.swap(self, 0, (len(self.collisionNodes) -1))
del self.collisionNodes[len(self.collisionNodes)-1]
self.heapify1(i)
def swap(self, i, j):
self.collisionNodes[i], self.collisionNodes[j] = self.collisionNodes[j],
self.collisionNodes[i]
def get_next(self):
temp = self.collisionsNodes[0]
return temp.BBi, temp.BBj, temp.T, temp.CCi, temp.CCj
class node:
def nodeinit(self, Bi, Bj, T, Ci, Cj):
self.BBi = Bi
self.BBj = Bj
self.TT = T
self.CCi = Ci
self.CCj = Cj
class Painter:
#__init__ performs the construction of a Painter object
def __init__(self, root, scale=500, border=5, refresh_speed=5,
filename='balls.txt', min_radius=5, max_radius=10, num_balls=20):
#width and height are used to set the simulation borders
width = scale + border
height = scale + border
self.time = 0
#setup will set up the necessary graphics window and the ball list
self.setup(root, width, height, border, refresh_speed)
#Check the input parameter 'filename' to load predetermined simulation
#otherwise set up the default simulation
if filename is None:
self.init_balls(max_radius, min_radius, num_balls)
self.num_balls = num_balls
else:
self.num_balls = self.read_balls(scale, filename)
#Create the priority data structure
self.PQ = ArrayPQ(self.num_balls)
#Initialize all possible collision times
self.init_ball_collision_times()
self.init_wall_collision_times()
#draw will draw the graphics to the window
self.draw()
#refresh is a loop method intended to create animations
self.refresh()
#A blank return indicates the end of the function
return
#setup creates the window to display the graphics along with the red border
#of the simulation
def setup(self, root, width, height, border, refresh_speed):
# Draw frame etc
self.app_frame = Frame(root)
self.app_frame.pack()
self.canvas = Canvas(self.app_frame, width = width, height = height)
self.canvas_size = (int(self.canvas.cget('width')),
int(self.canvas.cget('height')))
self.canvas.pack()
self.refresh_speed = refresh_speed
# Work area
self.min_x = border
self.max_x = width - border
self.min_y = border
self.max_y = height - border
#create array to hold the n number of balls
self.balls = []
self.ball_handles = dict()
return
def read_balls(self, scale, filename):
f = open(filename)
num_balls = int(f.readline().strip())
for l in f:
ll = l.strip().split(" ")
x = scale*float(ll[0])
y = scale*float(ll[1])
vx = scale*float(ll[2])
vy = scale*float(ll[3])
radius = scale*float(ll[4])
mass = float(ll[5])
r = int(ll[6])
g = int(ll[7])
b = int(ll[8])
tk_rgb = "#%02x%02x%02x" % (r, g, b)
new_ball = Ball(radius, x, y, vx, vy, mass, tk_rgb)
self.balls.append(new_ball)
return num_balls
def init_balls(self, max_radius, min_radius, num_balls):
for i in np.arange(num_balls):
while(True):
radius = (max_radius - min_radius) * rand.random_sample() +
min_radius
ball_min_x = self.min_x + radius
ball_max_x = self.max_x - radius
x = (ball_max_x - ball_min_x)*rand.random_sample() + ball_min_x
ball_min_y = self.min_y + radius
ball_max_y = self.max_y - radius
y = (ball_max_y - ball_min_y)*rand.random_sample() + ball_min_y
vx = rand.random_sample()
vy = rand.random_sample()
mass = 1.0 # rand.random_sample()
new_ball = Ball(radius, x, y, vx, vy, mass)
if not new_ball.check_overlap(self.balls):
self.balls.append(new_ball)
break
#init_wall_collision_times will set all of the balls' minimum collision time
def init_wall_collision_times(self):
for i in np.arange(len(self.balls)):
bi = self.balls[i]
tix = bi.horizontal_wall_collision_time(self.min_x, self.max_x)
tiy = bi.vertical_wall_collision_time(self.min_y, self.max_y)
self.PQ.insert(i, -1, tix + self.time, self.balls[i].count, -1)
self.PQ.insert(-1, i, tiy + self.time, -1, self.balls[i].count)
return
#init_ball_collision_times will set all of the balls' minimum collision time
#with all other balls and store that time within the ith and jth index of
#PQ.ball_collision_time
def init_ball_collision_times(self):
for i in np.arange(self.num_balls):
bi = self.balls[i]
for j in np.arange(i+1, self.num_balls):
bj = self.balls[j]
tij = bi.ball_collision_time(bj)
self.PQ.insert(i, j, tij + self.time, self.balls[i].count,
self.balls[j].count)
# self.ball_collision_times[i][j] = tij
# self.ball_collision_times[j][i] = tij
return
#walls (horizontal and vertical) and all other balls within the PQ array
def update_collision_times(self, i):
bi = self.balls[i]
tix = bi.horizontal_wall_collision_time(self.min_x, self.max_x)
tiy = bi.vertical_wall_collision_time(self.min_y, self.max_y)
self.PQ.insert(i, -1, tix + self.time,self.balls[i].count, -1)
self.PQ.insert(-1, i, tiy + self.time, -1, self.balls[i].count)
for j in np.arange(self.num_balls):
bj = self.balls[j]
tij = bi.ball_collision_time(bj) + self.time
if i > j:
self.PQ.insert(j, i,
tij,self.balls[j].count,self.balls[i].count)
else:
self.PQ.insert(i, j, tij,self.balls[i].count,
self.balls[j].count)
return
#draw will draw the borders and all balls within self.balls
def draw(self):
#Draw walls
self.canvas.create_line((self.min_x, self.min_y), (self.min_x,
self.max_y), fill = "red")
self.canvas.create_line((self.min_x, self.min_y), (self.max_x,
self.min_y), fill = "red")
self.canvas.create_line((self.min_x, self.max_y), (self.max_x,
self.max_y), fill = "red")
self.canvas.create_line((self.max_x, self.min_y), (self.max_x,
self.max_y), fill = "red")
#Draw balls
for b in self.balls:
obj = self.canvas.create_oval(b.x - b.radius, b.y - b.radius, b.x +
b.radius, b.y + b.radius, outline=b.tk_rgb, fill=b.tk_rgb)
self.ball_handles[b] = obj
self.canvas.update()
#refresh is called to update the state of the simulation
#-each refresh call can be considered one iteration of the simulation
def refresh(self):
#get the next collision
i, j, t, num_collisions_i, num_collision_j = self.PQ.get_next()
#gather the current collisions of the ith and jth ball
current_collisions_i = self.balls[i].count
current_collisions_j = self.balls[j].count
#Check the difference in time between the predicted collision time and
#the current time stamp of the simulation
delta = t - self.time
#If the difference is greater than 1, then just move the balls
if delta > 1.0:
# cap delta to 1.0
for bi in self.balls:
bi.move()
self.canvas.move(self.ball_handles[bi], bi.vx, bi.vy)
self.time += 1.0
#Otherwise a collision has occurred
else:
#Move all balls
for bi in self.balls:
bi.move(delta)
self.canvas.move(self.ball_handles[bi], bi.vx*delta,
bi.vy*delta)
#increment the simulation time stamp
self.time += delta
#Delete the top element within the Priority Queue
self.PQ.delete()
#if i is -1 then this indicates a collision with a vertical wall
#also this if statement checks if the number of collisions recorded
#when the collision returned by PQ.get_next() is equal to the
#number of collisions within the jth ball
#this acts as a test to check if the collision is still valid
if i == -1 and num_collision_j == current_collisions_j:
#compute what happens from the vertical wall collision
self.balls[j].collide_with_vertical_wall()
#update collision times for the jth ball
self.update_collision_times(j)
#if j is -1 then this indicates a collision a horizontal wall
#while also checking if the number of collisions match
#to see if the collision is valid
elif j == -1 and num_collisions_i == current_collisions_i:
#compute what happens from the horizontal wall collision
self.balls[i].collide_with_horizontal_wall()
#update collision times for the ith ball
self.update_collision_times(i)
elif num_collision_j == current_collisions_j and num_collisions_i ==
current_collisions_i:
#Execute collision across the ith and jth ball
self.balls[i].collide_with_ball(self.balls[j])
#update collision times for both the ith and jth ball
self.update_collision_times(i)
self.update_collision_times(j)
#update the canvas to draw the new locations of each ball
self.canvas.update()
self.canvas.after(self.refresh_speed, self.refresh)
def __init__(self, radius, x, y, vx, vy, mass, tk_rgb="#000000"):
self.radius = radius
self.x = x
self.y = y
self.vx = vx
self.vy = vy
self.mass = mass
self.tk_rgb = tk_rgb
#since this ball was just initialized, it hasn't had any collisions yet
self.count = 0
return
#move changes the displacement of the ball by the velocity
def move(self, dt=1.0):
self.x += self.vx*dt
self.y += self.vy*dt
return
#check_overlap checks if this ball is overlapping with any other
#ball, it is used to see if a collision has occurred
def check_overlap(self, others):
for b in others:
min_dist = b.radius + self.radius
center_dist = math.sqrt((b.x - self.x)*(b.x - self.x) + \
(b.y - self.y)*(b.y - self.y))
if center_dist < min_dist:
return True
return False
#collide_with_ball computes collision, changing the Ball's velocity
#as well as the other ball's velocity
def collide_with_ball(self, other):
dv_x = other.vx - self.vx
dv_y = other.vy - self.vy
dr_x = other.x - self.x
dr_y = other.y - self.y
sigma = self.radius + other.radius
dv_dr = dv_x * dr_x + dv_y * dr_y
J = 2.0 * self.mass * other.mass * dv_dr/((self.mass +
other.mass)*sigma)
Jx = J * dr_x/sigma
Jy = J * dr_y/sigma
self.vx += Jx/self.mass
self.vy += Jy/self.mass
other.vx -= Jx/other.mass
other.vy -= Jy/other.mass
#Increment the collision count for both balls
self.count += 1
other.count += 1
return
# Compute when an instance of Ball collides with the given Ball other
# Return the timestamp that this will occur
def ball_collision_time(self, other):
dr_x = other.x - self.x
dr_y = other.y - self.y
if dr_x == 0 and dr_y == 0:
return float('inf')
dv_x = other.vx - self.vx
dv_y = other.vy - self.vy
dv_dr = dv_x * dr_x + dv_y * dr_y
if dv_dr > 0:
return float('inf')
dv_dv = dv_x * dv_x + dv_y * dv_y
dr_dr = dr_x * dr_x + dr_y * dr_y
sigma = self.radius + other.radius
d = dv_dr * dv_dr - dv_dv * (dr_dr - sigma * sigma)
# No solution
if d < 0 or dv_dv == 0:
return float('inf')
return - (dv_dr + np.sqrt(d))/dv_dv
#collide_with_horizontal_wall executes the change in the Ball's
#velocity when colliding with a horizontal wall
def collide_with_horizontal_wall(self):
self.vx = -self.vx
self.count += 1
return
#collide_with_vertical_wall executes the change in the Ball's
#velocity when colliding with a vertical wall
def collide_with_vertical_wall(self):
self.vy = -self.vy
self.count += 1
return
# Compute when the instance of Ball collides with a horizontal wall
# Return the time stamp that this will occur
def horizontal_wall_collision_time(self, min_x, max_x):
if self.vx < 0:
# x + delta_t * vx = min_x + radius
return (min_x + self.radius - self.x)/(1.0*self.vx)
if self.vx > 0:
# x + delta_t * vx = max_x - radius
return (max_x - self.radius - self.x)/(1.0*self.vx)
return float('inf')
# Compute when the instance of Ball collides with a vertical wall
# Return the time stamp that this will occur
# Inputs of min_y and max_y
def vertical_wall_collision_time(self, min_y, max_y):
if self.vy < 0:
# y + delta_t * vy = min_y + radius
return (min_y + self.radius - self.y)/(1.0*self.vy)
if self.vy > 0:
# y + delta_t * vy = max_y - radius
return (max_y - self.radius - self.y)/(1.0*self.vy)
return float('inf')
#show_stats will print out the Ball's data
#specifically the radius, position, velocity, mass, and color
def show_stats(self):
print("radius: %f"%self.radius)
print("position: %f, %f"%(self.x, self.y))
print("velocity: %f, %f"%(self.vx, self.vy))
print("mass: %f"%self.mass)
print("rgb: %s"%self.tk_rgb)
return
#Main script
if __name__ == "__main__":
#Set the parameters for the graphics window and simulation
scale = 800
border = 5
#Set radius range for all balls
max_radius = 20
min_radius = 5
#set number of balls
num_balls = 10
#set refresh rate
refresh_speed = 5
rand.seed(12394)
#create the graphics object
root = Tk()
#Create the painter object
p = Painter(root, scale, border, refresh_speed, None, min_radius,max_radius,
num_balls)
#If you have the commented out files in your directory then
#uncomment them to see what they do
#p = Painter(root, scale, border, refresh_speed, 'wallbouncing.txt')
#p = Painter(root, scale, border, refresh_speed, 'p10.txt')
#p = Painter(root, scale, border, refresh_speed, 'billiards4.txt')
#p = Painter(root, scale, border, refresh_speed, 'squeeze.txt')
#run the Painter main loop function (calls refresh many times)
root.mainloop()
更通用的方法是
float scale(float percent) {
float min = -185.6;
float max = -78.6;
return min + ((max-min)*percent);
}
你不能传递任何两个值，并在它们之间获得一定的值。不假设a小于b。