1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225
| import math import random
import numpy as np
class BezierTrajectory: """ 根据贝塞尔曲线生成鼠标轨迹 使用直接调用get_track,传入需要滑动的距离 """
def _bztsg(self, dataTrajectory): lengthOfdata = len(dataTrajectory)
def staer(x): t = (x - dataTrajectory[0][0]) / ( dataTrajectory[-1][0] - dataTrajectory[0][0] ) y = np.array([0, 0], dtype=np.float64) for s in range(len(dataTrajectory)): y += dataTrajectory[s] * ( ( math.factorial(lengthOfdata - 1) / (math.factorial(s) * math.factorial(lengthOfdata - 1 - s)) ) * math.pow(t, s) * math.pow((1 - t), lengthOfdata - 1 - s) ) return y[1]
return staer
def _type(self, type, x, numberList): numberListre = [] pin = (x[1] - x[0]) / numberList if type == 0: for i in range(numberList): numberListre.append(i * pin) if pin >= 0: numberListre = numberListre[::-1] elif type == 1: for i in range(numberList): numberListre.append(1 * ((i * pin) ** 2)) numberListre = numberListre[::-1] elif type == 2: for i in range(numberList): numberListre.append(1 * ((i * pin - x[1]) ** 2)) elif type == 3: dataTrajectory = [ np.array([0, 0]), np.array([(x[1] - x[0]) * 0.8, (x[1] - x[0]) * 0.6]), np.array([x[1] - x[0], 0]), ] fun = self._bztsg(dataTrajectory) numberListre = [0] for i in range(1, numberList): numberListre.append(fun(i * pin) + numberListre[-1]) if pin >= 0: numberListre = numberListre[::-1] numberListre = np.abs(np.array(numberListre) - max(numberListre)) biaoNumberList = ( (numberListre - numberListre[numberListre.argmin()]) / ( numberListre[numberListre.argmax()] - numberListre[numberListre.argmin()] ) ) * (x[1] - x[0]) + x[0] biaoNumberList[0] = x[0] biaoNumberList[-1] = x[1] return biaoNumberList
def getFun(self, s): """ :param s: 传入P点 :return: 返回公式 """ dataTrajectory = [] for i in s: dataTrajectory.append(np.array(i)) return self._bztsg(dataTrajectory)
def simulation(self, start, end, le=1, deviation=0, bias=0.5): """ :param start:开始点的坐标 如 start = [0, 0] :param end:结束点的坐标 如 end = [100, 100] :param le:几阶贝塞尔曲线,越大越复杂 如 le = 4 :param deviation:轨迹上下波动的范围 如 deviation = 10 :param bias:波动范围的分布位置 如 bias = 0.5 :return:返回一个字典equation对应该曲线的方程,P对应贝塞尔曲线的影响点 """ start = np.array(start) end = np.array(end) cbb = [] if le != 1: e = (1 - bias) / (le - 1) cbb = [[bias + e * i, bias + e * (i + 1)] for i in range(le - 1)] dataTrajectoryList = [start] t = random.choice([-1, 1]) w = 0 for i in cbb: px1 = start[0] + (end[0] - start[0]) * ( random.random() * (i[1] - i[0]) + (i[0]) ) p = np.array([px1, self._bztsg([start, end])(px1) + t * deviation]) dataTrajectoryList.append(p) w += 1 if w >= 2: w = 0 t = -1 * t dataTrajectoryList.append(end) return { "equation": self._bztsg(dataTrajectoryList), "P": np.array(dataTrajectoryList), }
def trackArray( self, start, end, numberList, le=1, deviation=0, bias=0.5, type=0, cbb=0, yhh=10 ): """ :param start:开始点的坐标 如 start = [0, 0] :param end:结束点的坐标 如 end = [100, 100] :param numberList:返回的数组的轨迹点的数量 numberList = 150 :param le:几阶贝塞尔曲线,越大越复杂 如 le = 4 :param deviation:轨迹上下波动的范围 如 deviation = 10 :param bias:波动范围的分布位置 如 bias = 0.5 :param type:0表示均速滑动,1表示先慢后快,2表示先快后慢,3表示先慢中间快后慢 如 type = 1 :param cbb:在终点来回摆动的次数 :param yhh:在终点来回摆动的范围 :return:返回一个字典trackArray对应轨迹数组,P对应贝塞尔曲线的影响点 """ s = [] fun = self.simulation(start, end, le, deviation, bias) w = fun["P"] fun = fun["equation"] if cbb != 0: numberListOfcbb = round(numberList * 0.2 / (cbb + 1)) numberList -= numberListOfcbb * (cbb + 1) xTrackArray = self._type(type, [start[0], end[0]], numberList) for i in xTrackArray: s.append([i, fun(i)]) dq = yhh / cbb kg = 0 ends = np.copy(end) for i in range(cbb): if kg == 0: d = np.array( [ end[0] + (yhh - dq * i), ((end[1] - start[1]) / (end[0] - start[0])) * (end[0] + (yhh - dq * i)) + ( end[1] - ((end[1] - start[1]) / (end[0] - start[0])) * end[0] ), ] ) kg = 1 else: d = np.array( [ end[0] - (yhh - dq * i), ((end[1] - start[1]) / (end[0] - start[0])) * (end[0] - (yhh - dq * i)) + ( end[1] - ((end[1] - start[1]) / (end[0] - start[0])) * end[0] ), ] ) kg = 0 y = self.trackArray( ends, d, numberListOfcbb, le=1, deviation=0, bias=0.5, type=type, cbb=0, yhh=yhh, ) s += list(y["trackArray"]) ends = d y = self.trackArray( ends, end, numberListOfcbb, le=2, deviation=0, bias=0.5, type=type, cbb=0, yhh=yhh, ) s += list(y["trackArray"]) else: xTrackArray = self._type(type, [start[0], end[0]], numberList) for i in xTrackArray: s.append([i, fun(i)]) return {"trackArray": np.array(s), "P": w}
def get_track(distance: int): """ 获取鼠标轨迹 :param distance: 滑块距离 :return: 轨迹数组 """ bei = BezierTrajectory() start_point = [0, 0] end_point = [distance, random.randint(-150, 150)] res = bei.trackArray( start=start_point, end=end_point, numberList=random.randint(8, 10), le=random.randint(3, 5), deviation=random.randint(7, 13), bias=random.choice([0.3, 0.4, 0.5, 0.6, 0.7]), type=random.choice([1, 2, 3]), cbb=1, yhh=10, ) return res["trackArray"]
|