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| 1 | +# coding: utf-8 |
| 2 | + |
| 3 | +from numpy import * |
| 4 | + |
| 5 | +print '[+]------------欧式距离-----------' |
| 6 | +def twoPointDistance(a,b): |
| 7 | + d = sqrt( (a[0]-b[0])**2 + (a[1]-b[1])**2 ) |
| 8 | + return d |
| 9 | + |
| 10 | +print 'a,b 二维距离为:',twoPointDistance((1,1),(2,2)) |
| 11 | + |
| 12 | +def threePointDistance(a,b): |
| 13 | + d = sqrt( (a[0]-b[0])**2 + (a[1]-b[1])**2 + (a[2]-b[2])**2 ) |
| 14 | + return d |
| 15 | + |
| 16 | +print 'a,b 三维距离为:',threePointDistance((1,1,1),(2,2,2)) |
| 17 | + |
| 18 | +def distance(a,b): |
| 19 | + sum = 0 |
| 20 | + for i in range(len(a)): |
| 21 | + sum += (a[i]-b[i])**2 |
| 22 | + return sqrt(sum) |
| 23 | + |
| 24 | +print 'a,b 多维距离为:',distance((1,1,2,2),(2,2,4,4)) |
| 25 | + |
| 26 | +print '[+]------------标准欧式距离-----------' |
| 27 | + |
| 28 | +def moreBZOSdis(a,b): |
| 29 | + sumnum = 0 |
| 30 | + for i in range(len(a)): |
| 31 | + # 计算si 分量标准差 |
| 32 | + avg = (a[i]-b[i])/2 |
| 33 | + si = sqrt( (a[i] - avg) ** 2 + (b[i] - avg) ** 2 ) |
| 34 | + sumnum += ((a[i]-b[i])/si ) ** 2 |
| 35 | + |
| 36 | + return sqrt(sumnum) |
| 37 | + |
| 38 | +print 'a,b 标准欧式距离:',moreBZOSdis((1,2,1,2),(3,3,3,4)) |
| 39 | + |
| 40 | +print '[+]------------曼哈顿距离-----------' |
| 41 | +def twoMHDdis(a,b): |
| 42 | + return abs(a[0]-b[0])+abs(a[1]-b[1]) |
| 43 | + |
| 44 | +print 'a,b 二维曼哈顿距离为:', twoMHDdis((1,1),(2,2)) |
| 45 | + |
| 46 | +def threeMHDdis(a,b): |
| 47 | + return abs(a[0]-b[0])+abs(a[1]-b[1]) + abs(a[2]-b[2]) |
| 48 | + |
| 49 | +print 'a,b 三维曼哈顿距离为:', threeMHDdis((1,1,1),(2,2,2)) |
| 50 | + |
| 51 | + |
| 52 | +def moreMHDdis(a,b): |
| 53 | + sum = 0 |
| 54 | + for i in range(len(a)): |
| 55 | + sum += abs(a[i]-b[i]) |
| 56 | + return sum |
| 57 | + |
| 58 | +print 'a,b 多维曼哈顿距离为:', moreMHDdis((1,1,1,1),(2,2,2,2)) |
| 59 | + |
| 60 | +print '[+]------------切比雪夫距离-----------' |
| 61 | +def twoQBXFdis(a,b): |
| 62 | + return max( abs(a[0]-b[0]), abs(a[1]-b[1])) |
| 63 | + |
| 64 | +print 'a,b二维切比雪夫距离:' , twoQBXFdis((1,2),(3,4)) |
| 65 | + |
| 66 | +def moreQBXFdis(a,b): |
| 67 | + maxnum = 0 |
| 68 | + for i in range(len(a)): |
| 69 | + if abs(a[i]-b[i]) > maxnum: |
| 70 | + maxnum = abs(a[i]-b[i]) |
| 71 | + return maxnum |
| 72 | + |
| 73 | +print 'a,b多维切比雪夫距离:' , moreQBXFdis((1,1,1,1),(3,4,3,4)) |
| 74 | + |
| 75 | + |
| 76 | +print '[+]------------夹角余弦-----------' |
| 77 | + |
| 78 | +def twoCos(a,b): |
| 79 | + cos = (a[0]*b[0]+a[1]*b[1]) / (sqrt(a[0]**2 + b[0]**2) * sqrt(a[1]**2 + b[1]**2) ) |
| 80 | + |
| 81 | + return cos |
| 82 | +print 'a,b 二维夹角余弦距离:',twoCos((1,1),(2,2)) |
| 83 | + |
| 84 | + |
| 85 | +def moreCos(a,b): |
| 86 | + sum_fenzi = 0 |
| 87 | + sum_fenmu = 1 |
| 88 | + for i in range(len(a)): |
| 89 | + sum_fenzi += a[i]*b[i] |
| 90 | + sum_fenmu *= sqrt(a[i]**2 + b[i]**2 ) |
| 91 | + |
| 92 | + return sum_fenzi/sum_fenmu |
| 93 | +print 'a,b 多维夹角余弦距离:',moreCos((1,1,1,1),(2,2,2,2)) |
| 94 | + |
| 95 | +print '[+]------------汉明距离-----------' |
| 96 | + |
| 97 | +def hanmingDis(a,b): |
| 98 | + sumnum = 0 |
| 99 | + for i in range(len(a)): |
| 100 | + if a[i]!=b[i]: |
| 101 | + sumnum += 1 |
| 102 | + return sumnum |
| 103 | + |
| 104 | +print 'a,b 汉明距离:',hanmingDis((1,1,2,3),(2,2,1,3)) |
| 105 | + |
| 106 | +print '[+]------------杰卡德距离-----------' |
| 107 | + |
| 108 | +def jiekadeDis(a,b): |
| 109 | + set_a = set(a) |
| 110 | + set_b = set(b) |
| 111 | + dis = float(len( (set_a | set_b) - (set_a & set_b) ) )/ len(set_a | set_b) |
| 112 | + return dis |
| 113 | + |
| 114 | +print 'a,b 杰卡德距离:', jiekadeDis((1,2,3),(2,3,4)) |
| 115 | + |
| 116 | +def jiekadeXSDis(a,b): |
| 117 | + set_a = set(a) |
| 118 | + set_b = set(b) |
| 119 | + dis = float(len(set_a & set_b) )/ len(set_a | set_b) |
| 120 | + return dis |
| 121 | + |
| 122 | +print 'a,b 杰卡德相似系数:', jiekadeXSDis((1,2,3),(2,3,4)) |
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