python实现一个点绕另一个点旋转后的坐标

Python  /  管理员 发布于 7年前   170

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 npimport mathimport 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,sRotateypointx = 1pointy = 1sPointx ,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 npimport mathimport 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-disxremoveY2 = y2-disytany1 = 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-angle1print(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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