-
Notifications
You must be signed in to change notification settings - Fork 338
/
Copy pathconstants.py
171 lines (170 loc) · 12.4 KB
/
constants.py
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
import numpy as np
alphas_cumprod = np.array([
9.9850e-01, 9.9700e-01, 9.9549e-01, 9.9397e-01, 9.9246e-01, 9.9093e-01,
9.8941e-01, 9.8788e-01, 9.8634e-01, 9.8480e-01, 9.8326e-01, 9.8171e-01,
9.8016e-01, 9.7860e-01, 9.7704e-01, 9.7548e-01, 9.7391e-01, 9.7234e-01,
9.7076e-01, 9.6918e-01, 9.6759e-01, 9.6600e-01, 9.6441e-01, 9.6281e-01,
9.6121e-01, 9.5960e-01, 9.5799e-01, 9.5638e-01, 9.5476e-01, 9.5314e-01,
9.5151e-01, 9.4988e-01, 9.4825e-01, 9.4661e-01, 9.4497e-01, 9.4332e-01,
9.4167e-01, 9.4002e-01, 9.3836e-01, 9.3670e-01, 9.3503e-01, 9.3337e-01,
9.3169e-01, 9.3002e-01, 9.2834e-01, 9.2665e-01, 9.2496e-01, 9.2327e-01,
9.2158e-01, 9.1988e-01, 9.1818e-01, 9.1647e-01, 9.1476e-01, 9.1305e-01,
9.1133e-01, 9.0961e-01, 9.0788e-01, 9.0616e-01, 9.0442e-01, 9.0269e-01,
9.0095e-01, 8.9921e-01, 8.9746e-01, 8.9572e-01, 8.9396e-01, 8.9221e-01,
8.9045e-01, 8.8869e-01, 8.8692e-01, 8.8516e-01, 8.8338e-01, 8.8161e-01,
8.7983e-01, 8.7805e-01, 8.7626e-01, 8.7448e-01, 8.7269e-01, 8.7089e-01,
8.6909e-01, 8.6729e-01, 8.6549e-01, 8.6368e-01, 8.6188e-01, 8.6006e-01,
8.5825e-01, 8.5643e-01, 8.5461e-01, 8.5278e-01, 8.5096e-01, 8.4913e-01,
8.4729e-01, 8.4546e-01, 8.4362e-01, 8.4178e-01, 8.3994e-01, 8.3809e-01,
8.3624e-01, 8.3439e-01, 8.3253e-01, 8.3068e-01, 8.2882e-01, 8.2696e-01,
8.2509e-01, 8.2322e-01, 8.2135e-01, 8.1948e-01, 8.1761e-01, 8.1573e-01,
8.1385e-01, 8.1197e-01, 8.1008e-01, 8.0820e-01, 8.0631e-01, 8.0442e-01,
8.0252e-01, 8.0063e-01, 7.9873e-01, 7.9683e-01, 7.9493e-01, 7.9302e-01,
7.9112e-01, 7.8921e-01, 7.8730e-01, 7.8538e-01, 7.8347e-01, 7.8155e-01,
7.7963e-01, 7.7771e-01, 7.7579e-01, 7.7387e-01, 7.7194e-01, 7.7001e-01,
7.6808e-01, 7.6615e-01, 7.6422e-01, 7.6228e-01, 7.6034e-01, 7.5841e-01,
7.5647e-01, 7.5452e-01, 7.5258e-01, 7.5064e-01, 7.4869e-01, 7.4674e-01,
7.4479e-01, 7.4284e-01, 7.4089e-01, 7.3894e-01, 7.3698e-01, 7.3502e-01,
7.3307e-01, 7.3111e-01, 7.2915e-01, 7.2719e-01, 7.2522e-01, 7.2326e-01,
7.2130e-01, 7.1933e-01, 7.1736e-01, 7.1539e-01, 7.1342e-01, 7.1145e-01,
7.0948e-01, 7.0751e-01, 7.0554e-01, 7.0356e-01, 7.0159e-01, 6.9961e-01,
6.9764e-01, 6.9566e-01, 6.9368e-01, 6.9170e-01, 6.8972e-01, 6.8774e-01,
6.8576e-01, 6.8378e-01, 6.8180e-01, 6.7981e-01, 6.7783e-01, 6.7585e-01,
6.7386e-01, 6.7188e-01, 6.6989e-01, 6.6791e-01, 6.6592e-01, 6.6394e-01,
6.6195e-01, 6.5996e-01, 6.5798e-01, 6.5599e-01, 6.5400e-01, 6.5201e-01,
6.5003e-01, 6.4804e-01, 6.4605e-01, 6.4406e-01, 6.4207e-01, 6.4009e-01,
6.3810e-01, 6.3611e-01, 6.3412e-01, 6.3213e-01, 6.3015e-01, 6.2816e-01,
6.2617e-01, 6.2419e-01, 6.2220e-01, 6.2021e-01, 6.1823e-01, 6.1624e-01,
6.1426e-01, 6.1227e-01, 6.1029e-01, 6.0830e-01, 6.0632e-01, 6.0434e-01,
6.0235e-01, 6.0037e-01, 5.9839e-01, 5.9641e-01, 5.9443e-01, 5.9245e-01,
5.9047e-01, 5.8849e-01, 5.8652e-01, 5.8454e-01, 5.8257e-01, 5.8059e-01,
5.7862e-01, 5.7664e-01, 5.7467e-01, 5.7270e-01, 5.7073e-01, 5.6876e-01,
5.6680e-01, 5.6483e-01, 5.6286e-01, 5.6090e-01, 5.5894e-01, 5.5697e-01,
5.5501e-01, 5.5305e-01, 5.5109e-01, 5.4914e-01, 5.4718e-01, 5.4523e-01,
5.4327e-01, 5.4132e-01, 5.3937e-01, 5.3742e-01, 5.3548e-01, 5.3353e-01,
5.3159e-01, 5.2964e-01, 5.2770e-01, 5.2576e-01, 5.2383e-01, 5.2189e-01,
5.1996e-01, 5.1802e-01, 5.1609e-01, 5.1416e-01, 5.1224e-01, 5.1031e-01,
5.0839e-01, 5.0646e-01, 5.0454e-01, 5.0263e-01, 5.0071e-01, 4.9880e-01,
4.9689e-01, 4.9498e-01, 4.9307e-01, 4.9116e-01, 4.8926e-01, 4.8736e-01,
4.8546e-01, 4.8356e-01, 4.8167e-01, 4.7977e-01, 4.7788e-01, 4.7600e-01,
4.7411e-01, 4.7223e-01, 4.7035e-01, 4.6847e-01, 4.6659e-01, 4.6472e-01,
4.6285e-01, 4.6098e-01, 4.5911e-01, 4.5725e-01, 4.5539e-01, 4.5353e-01,
4.5167e-01, 4.4982e-01, 4.4797e-01, 4.4612e-01, 4.4427e-01, 4.4243e-01,
4.4059e-01, 4.3875e-01, 4.3692e-01, 4.3509e-01, 4.3326e-01, 4.3143e-01,
4.2961e-01, 4.2779e-01, 4.2597e-01, 4.2416e-01, 4.2235e-01, 4.2054e-01,
4.1874e-01, 4.1693e-01, 4.1513e-01, 4.1334e-01, 4.1155e-01, 4.0976e-01,
4.0797e-01, 4.0619e-01, 4.0441e-01, 4.0263e-01, 4.0085e-01, 3.9908e-01,
3.9732e-01, 3.9555e-01, 3.9379e-01, 3.9203e-01, 3.9028e-01, 3.8853e-01,
3.8678e-01, 3.8504e-01, 3.8330e-01, 3.8156e-01, 3.7983e-01, 3.7810e-01,
3.7637e-01, 3.7465e-01, 3.7293e-01, 3.7121e-01, 3.6950e-01, 3.6779e-01,
3.6608e-01, 3.6438e-01, 3.6269e-01, 3.6099e-01, 3.5930e-01, 3.5761e-01,
3.5593e-01, 3.5425e-01, 3.5257e-01, 3.5090e-01, 3.4923e-01, 3.4757e-01,
3.4591e-01, 3.4425e-01, 3.4260e-01, 3.4095e-01, 3.3930e-01, 3.3766e-01,
3.3603e-01, 3.3439e-01, 3.3276e-01, 3.3114e-01, 3.2952e-01, 3.2790e-01,
3.2628e-01, 3.2467e-01, 3.2307e-01, 3.2147e-01, 3.1987e-01, 3.1828e-01,
3.1669e-01, 3.1510e-01, 3.1352e-01, 3.1194e-01, 3.1037e-01, 3.0880e-01,
3.0724e-01, 3.0568e-01, 3.0412e-01, 3.0257e-01, 3.0102e-01, 2.9948e-01,
2.9794e-01, 2.9640e-01, 2.9487e-01, 2.9334e-01, 2.9182e-01, 2.9030e-01,
2.8879e-01, 2.8728e-01, 2.8577e-01, 2.8427e-01, 2.8278e-01, 2.8128e-01,
2.7980e-01, 2.7831e-01, 2.7683e-01, 2.7536e-01, 2.7389e-01, 2.7242e-01,
2.7096e-01, 2.6950e-01, 2.6805e-01, 2.6660e-01, 2.6516e-01, 2.6372e-01,
2.6229e-01, 2.6086e-01, 2.5943e-01, 2.5801e-01, 2.5659e-01, 2.5518e-01,
2.5377e-01, 2.5237e-01, 2.5097e-01, 2.4958e-01, 2.4819e-01, 2.4680e-01,
2.4542e-01, 2.4405e-01, 2.4267e-01, 2.4131e-01, 2.3995e-01, 2.3859e-01,
2.3723e-01, 2.3589e-01, 2.3454e-01, 2.3320e-01, 2.3187e-01, 2.3054e-01,
2.2921e-01, 2.2789e-01, 2.2658e-01, 2.2527e-01, 2.2396e-01, 2.2266e-01,
2.2136e-01, 2.2007e-01, 2.1878e-01, 2.1750e-01, 2.1622e-01, 2.1494e-01,
2.1367e-01, 2.1241e-01, 2.1115e-01, 2.0989e-01, 2.0864e-01, 2.0740e-01,
2.0615e-01, 2.0492e-01, 2.0369e-01, 2.0246e-01, 2.0124e-01, 2.0002e-01,
1.9881e-01, 1.9760e-01, 1.9639e-01, 1.9519e-01, 1.9400e-01, 1.9281e-01,
1.9163e-01, 1.9044e-01, 1.8927e-01, 1.8810e-01, 1.8693e-01, 1.8577e-01,
1.8461e-01, 1.8346e-01, 1.8231e-01, 1.8117e-01, 1.8003e-01, 1.7890e-01,
1.7777e-01, 1.7665e-01, 1.7553e-01, 1.7441e-01, 1.7330e-01, 1.7220e-01,
1.7110e-01, 1.7000e-01, 1.6891e-01, 1.6783e-01, 1.6674e-01, 1.6567e-01,
1.6459e-01, 1.6353e-01, 1.6246e-01, 1.6141e-01, 1.6035e-01, 1.5930e-01,
1.5826e-01, 1.5722e-01, 1.5618e-01, 1.5515e-01, 1.5413e-01, 1.5311e-01,
1.5209e-01, 1.5108e-01, 1.5007e-01, 1.4907e-01, 1.4807e-01, 1.4708e-01,
1.4609e-01, 1.4510e-01, 1.4412e-01, 1.4315e-01, 1.4218e-01, 1.4121e-01,
1.4025e-01, 1.3929e-01, 1.3834e-01, 1.3739e-01, 1.3645e-01, 1.3551e-01,
1.3458e-01, 1.3365e-01, 1.3272e-01, 1.3180e-01, 1.3088e-01, 1.2997e-01,
1.2907e-01, 1.2816e-01, 1.2726e-01, 1.2637e-01, 1.2548e-01, 1.2460e-01,
1.2372e-01, 1.2284e-01, 1.2197e-01, 1.2110e-01, 1.2024e-01, 1.1938e-01,
1.1853e-01, 1.1768e-01, 1.1683e-01, 1.1599e-01, 1.1515e-01, 1.1432e-01,
1.1349e-01, 1.1267e-01, 1.1185e-01, 1.1104e-01, 1.1023e-01, 1.0942e-01,
1.0862e-01, 1.0782e-01, 1.0703e-01, 1.0624e-01, 1.0545e-01, 1.0467e-01,
1.0390e-01, 1.0312e-01, 1.0236e-01, 1.0159e-01, 1.0083e-01, 1.0008e-01,
9.9327e-02, 9.8580e-02, 9.7837e-02, 9.7098e-02, 9.6363e-02, 9.5633e-02,
9.4907e-02, 9.4184e-02, 9.3466e-02, 9.2752e-02, 9.2042e-02, 9.1336e-02,
9.0634e-02, 8.9936e-02, 8.9242e-02, 8.8552e-02, 8.7866e-02, 8.7184e-02,
8.6506e-02, 8.5832e-02, 8.5162e-02, 8.4496e-02, 8.3834e-02, 8.3176e-02,
8.2521e-02, 8.1871e-02, 8.1224e-02, 8.0582e-02, 7.9943e-02, 7.9308e-02,
7.8677e-02, 7.8049e-02, 7.7426e-02, 7.6806e-02, 7.6190e-02, 7.5578e-02,
7.4969e-02, 7.4364e-02, 7.3763e-02, 7.3166e-02, 7.2572e-02, 7.1983e-02,
7.1396e-02, 7.0814e-02, 7.0235e-02, 6.9660e-02, 6.9088e-02, 6.8520e-02,
6.7956e-02, 6.7395e-02, 6.6838e-02, 6.6284e-02, 6.5734e-02, 6.5187e-02,
6.4644e-02, 6.4105e-02, 6.3569e-02, 6.3036e-02, 6.2507e-02, 6.1981e-02,
6.1459e-02, 6.0940e-02, 6.0425e-02, 5.9913e-02, 5.9404e-02, 5.8899e-02,
5.8397e-02, 5.7899e-02, 5.7404e-02, 5.6912e-02, 5.6424e-02, 5.5938e-02,
5.5456e-02, 5.4978e-02, 5.4502e-02, 5.4030e-02, 5.3561e-02, 5.3096e-02,
5.2633e-02, 5.2174e-02, 5.1717e-02, 5.1264e-02, 5.0815e-02, 5.0368e-02,
4.9924e-02, 4.9484e-02, 4.9046e-02, 4.8612e-02, 4.8181e-02, 4.7752e-02,
4.7327e-02, 4.6905e-02, 4.6486e-02, 4.6070e-02, 4.5656e-02, 4.5246e-02,
4.4839e-02, 4.4434e-02, 4.4033e-02, 4.3634e-02, 4.3239e-02, 4.2846e-02,
4.2456e-02, 4.2069e-02, 4.1685e-02, 4.1304e-02, 4.0925e-02, 4.0549e-02,
4.0176e-02, 3.9806e-02, 3.9438e-02, 3.9074e-02, 3.8712e-02, 3.8352e-02,
3.7996e-02, 3.7642e-02, 3.7291e-02, 3.6942e-02, 3.6596e-02, 3.6253e-02,
3.5912e-02, 3.5574e-02, 3.5239e-02, 3.4906e-02, 3.4575e-02, 3.4248e-02,
3.3922e-02, 3.3600e-02, 3.3279e-02, 3.2962e-02, 3.2646e-02, 3.2334e-02,
3.2023e-02, 3.1715e-02, 3.1410e-02, 3.1107e-02, 3.0806e-02, 3.0508e-02,
3.0212e-02, 2.9918e-02, 2.9627e-02, 2.9338e-02, 2.9052e-02, 2.8768e-02,
2.8486e-02, 2.8206e-02, 2.7929e-02, 2.7653e-02, 2.7380e-02, 2.7110e-02,
2.6841e-02, 2.6575e-02, 2.6311e-02, 2.6049e-02, 2.5789e-02, 2.5532e-02,
2.5276e-02, 2.5023e-02, 2.4772e-02, 2.4522e-02, 2.4275e-02, 2.4030e-02,
2.3787e-02, 2.3547e-02, 2.3308e-02, 2.3071e-02, 2.2836e-02, 2.2603e-02,
2.2372e-02, 2.2144e-02, 2.1917e-02, 2.1692e-02, 2.1469e-02, 2.1247e-02,
2.1028e-02, 2.0811e-02, 2.0595e-02, 2.0382e-02, 2.0170e-02, 1.9960e-02,
1.9752e-02, 1.9546e-02, 1.9342e-02, 1.9139e-02, 1.8938e-02, 1.8739e-02,
1.8542e-02, 1.8346e-02, 1.8153e-02, 1.7960e-02, 1.7770e-02, 1.7581e-02,
1.7394e-02, 1.7209e-02, 1.7026e-02, 1.6844e-02, 1.6663e-02, 1.6485e-02,
1.6308e-02, 1.6132e-02, 1.5958e-02, 1.5786e-02, 1.5615e-02, 1.5446e-02,
1.5279e-02, 1.5113e-02, 1.4948e-02, 1.4785e-02, 1.4624e-02, 1.4464e-02,
1.4305e-02, 1.4148e-02, 1.3993e-02, 1.3839e-02, 1.3686e-02, 1.3535e-02,
1.3385e-02, 1.3237e-02, 1.3090e-02, 1.2945e-02, 1.2800e-02, 1.2658e-02,
1.2516e-02, 1.2376e-02, 1.2238e-02, 1.2100e-02, 1.1964e-02, 1.1829e-02,
1.1696e-02, 1.1564e-02, 1.1433e-02, 1.1303e-02, 1.1175e-02, 1.1048e-02,
1.0922e-02, 1.0797e-02, 1.0674e-02, 1.0552e-02, 1.0431e-02, 1.0311e-02,
1.0193e-02, 1.0075e-02, 9.9588e-03, 9.8438e-03, 9.7298e-03, 9.6170e-03,
9.5054e-03, 9.3948e-03, 9.2854e-03, 9.1770e-03, 9.0698e-03, 8.9636e-03,
8.8586e-03, 8.7545e-03, 8.6516e-03, 8.5497e-03, 8.4488e-03, 8.3490e-03,
8.2502e-03, 8.1524e-03, 8.0556e-03, 7.9598e-03, 7.8650e-03, 7.7712e-03,
7.6784e-03, 7.5865e-03, 7.4956e-03, 7.4056e-03, 7.3166e-03, 7.2285e-03,
7.1413e-03, 7.0550e-03, 6.9697e-03, 6.8852e-03, 6.8017e-03, 6.7190e-03,
6.6372e-03, 6.5563e-03, 6.4762e-03, 6.3970e-03, 6.3187e-03, 6.2411e-03,
6.1645e-03, 6.0886e-03, 6.0135e-03, 5.9393e-03, 5.8659e-03, 5.7932e-03,
5.7214e-03, 5.6503e-03, 5.5800e-03, 5.5105e-03, 5.4418e-03, 5.3738e-03,
5.3065e-03, 5.2400e-03, 5.1742e-03, 5.1091e-03, 5.0448e-03, 4.9811e-03,
4.9182e-03, 4.8560e-03, 4.7945e-03, 4.7336e-03, 4.6735e-03, 4.6140e-03,
4.5552e-03, 4.4970e-03, 4.4395e-03, 4.3826e-03, 4.3264e-03, 4.2708e-03,
4.2159e-03, 4.1616e-03, 4.1079e-03, 4.0548e-03, 4.0023e-03, 3.9504e-03,
3.8992e-03, 3.8485e-03, 3.7983e-03, 3.7488e-03, 3.6998e-03, 3.6515e-03,
3.6036e-03, 3.5563e-03, 3.5096e-03, 3.4634e-03, 3.4178e-03, 3.3727e-03,
3.3281e-03, 3.2840e-03, 3.2405e-03, 3.1975e-03, 3.1550e-03, 3.1130e-03,
3.0714e-03, 3.0304e-03, 2.9899e-03, 2.9498e-03, 2.9103e-03, 2.8711e-03,
2.8325e-03, 2.7943e-03, 2.7566e-03, 2.7194e-03, 2.6826e-03, 2.6462e-03,
2.6103e-03, 2.5748e-03, 2.5397e-03, 2.5051e-03, 2.4709e-03, 2.4371e-03,
2.4037e-03, 2.3708e-03, 2.3382e-03, 2.3060e-03, 2.2743e-03, 2.2429e-03,
2.2119e-03, 2.1813e-03, 2.1511e-03, 2.1212e-03, 2.0917e-03, 2.0626e-03,
2.0339e-03, 2.0055e-03, 1.9774e-03, 1.9498e-03, 1.9224e-03, 1.8954e-03,
1.8688e-03, 1.8425e-03, 1.8165e-03, 1.7908e-03, 1.7655e-03, 1.7405e-03,
1.7158e-03, 1.6915e-03, 1.6674e-03, 1.6436e-03, 1.6202e-03, 1.5971e-03,
1.5742e-03, 1.5517e-03, 1.5294e-03, 1.5074e-03, 1.4857e-03, 1.4643e-03,
1.4432e-03, 1.4223e-03, 1.4018e-03, 1.3815e-03, 1.3614e-03, 1.3416e-03,
1.3221e-03, 1.3028e-03, 1.2838e-03, 1.2651e-03, 1.2465e-03, 1.2283e-03,
1.2102e-03, 1.1925e-03, 1.1749e-03, 1.1576e-03, 1.1405e-03, 1.1236e-03,
1.1070e-03, 1.0906e-03, 1.0744e-03, 1.0584e-03, 1.0427e-03, 1.0271e-03,
1.0118e-03, 9.9668e-04, 9.8175e-04, 9.6704e-04, 9.5252e-04, 9.3820e-04,
9.2408e-04, 9.1015e-04, 8.9641e-04, 8.8285e-04, 8.6949e-04, 8.5631e-04,
8.4331e-04, 8.3049e-04, 8.1784e-04, 8.0538e-04, 7.9308e-04, 7.8096e-04,
7.6900e-04, 7.5722e-04, 7.4559e-04, 7.3413e-04, 7.2283e-04, 7.1169e-04,
7.0070e-04, 6.8987e-04, 6.7919e-04, 6.6867e-04
])