python实现一个点绕另一个点旋转后的坐标
作者：星夜孤帆
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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()
以上这篇python实现一个点绕另一个点旋转后的坐标就是小编分享给大家的全部内容了，希望能给大家一个参考，也希望大家多多支持脚本之家。