python实现一个点绕另一个点旋转后的坐标

如下所示:

(x,y)为要转的点,(pointx,pointy)为中心点,如果顺时针角度为angle

srx = (x-pointx)*cos(angle) + (y-pointy)*sin(angle)+pointx

sry = (y-pointy)*cos(angle) - (x-pointx)*sin(angle)+pointy

(x,y)为要转的点,(pointx,pointy)为中心点,如果逆时针角度为angle

nrx = (x-pointx)*cos(angle) - (y-pointy)*sin(angle)+pointx

nry = (x-pointx)*sin(angle) + (y-pointy)*cos(angle)+pointy

import numpy as np

import math

import matplotlib.pyplot as plt

# 绕pointx,pointy逆时针旋转

def Nrotate(angle,valuex,valuey,pointx,pointy):

valuex = np.array(valuex)

valuey = np.array(valuey)

nRotatex = (valuex-pointx)*math.cos(angle) - (valuey-pointy)*math.sin(angle) + pointx

nRotatey = (valuex-pointx)*math.sin(angle) + (valuey-pointy)*math.cos(angle) + pointy

return nRotatex, nRotatey

# 绕pointx,pointy顺时针旋转

def Srotate(angle,valuex,valuey,pointx,pointy):

valuex = np.array(valuex)

valuey = np.array(valuey)

sRotatex = (valuex-pointx)*math.cos(angle) + (valuey-pointy)*math.sin(angle) + pointx

sRotatey = (valuey-pointy)*math.cos(angle) - (valuex-pointx)*math.sin(angle) + pointy

return sRotatex,sRotatey

pointx = 1

pointy = 1

sPointx ,sPointy = Nrotate(math.radians(45),pointx,pointy,0,0)

print(sPointx,sPointy)

plt.plot([0,pointx],[0,pointy])

plt.plot([0,sPointx],[0,sPointy])

plt.xlim(-3.,3.)

plt.ylim(-3.,3.)

plt.xticks(np.arange(-3.,3.,1))

plt.yticks(np.arange(-3.,3.,1))

plt.show()

import numpy as np

import math

import matplotlib.pyplot as plt

# 绕pointx,pointy逆时针旋转

def Nrotate(angle,valuex,valuey,pointx,pointy):

valuex = np.array(valuex)

valuey = np.array(valuey)

nRotatex = (valuex-pointx)*math.cos(angle) - (valuey-pointy)*math.sin(angle) + pointx

nRotatey = (valuex-pointx)*math.sin(angle) + (valuey-pointy)*math.cos(angle) + pointy

return nRotatex, nRotatey

# 绕pointx,pointy顺时针旋转

def Srotate(angle,valuex,valuey,pointx,pointy):

valuex = np.array(valuex)

valuey = np.array(valuey)

sRotatex = (valuex-pointx)*math.cos(angle) + (valuey-pointy)*math.sin(angle) + pointx

sRotatey = (valuey-pointy)*math.cos(angle) - (valuex-pointx)*math.sin(angle) + pointy

return sRotatex,sRotatey

x1 = np.array([1,2,3])

y1 = np.array([1,2,3])

x2 = np.array([3,6])

y2 = np.array([2,1])

# x2往x1上拼

disx = x2[0]-x1[0]

disy = y2[0]-y1[0]

removeX2 = x2-disx

removeY2 = y2-disy

tany1 = y1[-1]-y1[0]

tanx1 = x1[-1]-x1[0]

angle1 = math.degrees(np.arctan(tany1/tanx1))

tany2 = y2[-1]-y2[0]

tanx2 = x2[-1]-x2[0]

angle2 = math.degrees(np.arctan(tany2/tanx2))

disAngle = angle2-angle1

print(angle1)

print(angle2)

print(disAngle)

if disAngle<0:

rotateX,rotateY = Nrotate(math.radians(abs(disAngle)),removeX2,removeY2,x1[0],y1[0])

else:

rotateX,rotateY = Srotate(math.radians(abs(disAngle)),removeX2,removeY2,x1[0],y1[0])

plt.plot(x1,y1,color='red')

plt.plot(removeX2,removeY2,color='green')

plt.scatter(rotateX,rotateY,color='yellow')

plt.xlim(0.,10.)

plt.ylim(0.,10.)

plt.xticks(np.arange(0.,10.,1))

plt.yticks(np.arange(0.,10.,1))

plt.show()

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