pygmm package

Submodules

pygmm.abrahamson_gregor_addo_2016 module

Abrahamson, Gregor, and Addo (2016) ground motion moodel.

class pygmm.abrahamson_gregor_addo_2016.AbrahamsonGregorAddo2016(scenario, adjust_c1=None, adjust_c4=0, scale_atten=1.0)

Bases: GroundMotionModel

Abrahamson, Gregor, and Addo (2016) ground motion moodel.

This model was developed for subduction regions and is commonly referred to as the BCHydro model.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Abrahamson, Gregor, & Addo (2016)'

Long name of the model

ABBREV = 'AGA16'

Short name of the model

V_REF = 1000.0

COEFF = rec.array([( 0.   ,  865.1, -1.186, 1.18, 1.88, 10,  4.2203, -1.35, 0.1, 0.9, 0, -0.0012,  1.0988, -1.42, 0.4, 3.12,  0.013 ,  0.98 , -0.0135, -0.4 , 0.9969, -1.  , 0.6, 0.43, 0.738),            ( 0.02 ,  865.1, -1.186, 1.18, 1.88, 10,  4.2203, -1.35, 0.1, 0.9, 0, -0.0012,  1.0988, -1.42, 0.4, 3.12,  0.013 ,  0.98 , -0.0135, -0.4 , 0.9969, -1.  , 0.6, 0.43, 0.738),            ( 0.05 , 1053.5, -1.346, 1.18, 1.88, 10,  4.5371, -1.4 , 0.1, 0.9, 0, -0.0012,  1.2536, -1.65, 0.4, 3.37,  0.013 ,  1.288, -0.0138, -0.4 , 1.103 , -1.18, 0.6, 0.43, 0.738),            ( 0.075, 1085.7, -1.471, 1.18, 1.88, 10,  5.0733, -1.45, 0.1, 0.9, 0, -0.0012,  1.4175, -1.8 , 0.4, 3.37,  0.013 ,  1.483, -0.0142, -0.4 , 1.2732, -1.36, 0.6, 0.43, 0.738),            ( 0.1  , 1032.5, -1.624, 1.18, 1.88, 10,  5.2892, -1.45, 0.1, 0.9, 0, -0.0012,  1.3997, -1.8 , 0.4, 3.33,  0.013 ,  1.613, -0.0145, -0.4 , 1.3042, -1.36, 0.6, 0.43, 0.738),            ( 0.15 ,  877.6, -1.931, 1.18, 1.88, 10,  5.4563, -1.45, 0.1, 0.9, 0, -0.0014,  1.3582, -1.69, 0.4, 3.25,  0.013 ,  1.882, -0.0153, -0.4 , 1.26  , -1.3 , 0.6, 0.43, 0.738),            ( 0.2  ,  748.2, -2.188, 1.18, 1.88, 10,  5.2684, -1.4 , 0.1, 0.9, 0, -0.0018,  1.1648, -1.49, 0.4, 3.03,  0.0129,  2.076, -0.0162, -0.35, 1.223 , -1.25, 0.6, 0.43, 0.738),            ( 0.25 ,  654.3, -2.381, 1.18, 1.88, 10,  5.0594, -1.35, 0.1, 0.9, 0, -0.0023,  0.994 , -1.3 , 0.4, 2.8 ,  0.0129,  2.248, -0.0172, -0.31, 1.16  , -1.17, 0.6, 0.43, 0.738),            ( 0.3  ,  587.1, -2.518, 1.18, 1.88, 10,  4.7945, -1.28, 0.1, 0.9, 0, -0.0027,  0.8821, -1.18, 0.4, 2.59,  0.0128,  2.348, -0.0183, -0.28, 1.05  , -1.06, 0.6, 0.43, 0.738),            ( 0.4  ,  503. , -2.657, 1.18, 1.88, 10,  4.4644, -1.18, 0.1, 0.9, 0, -0.0035,  0.7046, -0.98, 0.4, 2.2 ,  0.0127,  2.427, -0.0206, -0.23, 0.8   , -0.78, 0.6, 0.43, 0.738),            ( 0.5  ,  456.6, -2.669, 1.18, 1.88, 10,  4.0181, -1.08, 0.1, 0.9, 0, -0.0044,  0.5799, -0.82, 0.4, 1.92,  0.0125,  2.399, -0.0231, -0.19, 0.662 , -0.62, 0.6, 0.43, 0.738),            ( 0.6  ,  430.3, -2.599, 1.18, 1.88, 10,  3.6055, -0.99, 0.1, 0.9, 0, -0.005 ,  0.5021, -0.7 , 0.4, 1.7 ,  0.0124,  2.273, -0.0256, -0.16, 0.58  , -0.5 , 0.6, 0.43, 0.738),            ( 0.75 ,  410.5, -2.401, 1.18, 1.88, 10,  3.2174, -0.91, 0.1, 0.9, 0, -0.0058,  0.3687, -0.54, 0.4, 1.42,  0.012 ,  1.993, -0.0296, -0.12, 0.48  , -0.34, 0.6, 0.43, 0.738),            ( 1.   ,  400. , -1.955, 1.18, 1.88, 10,  2.7981, -0.85, 0.1, 0.9, 0, -0.0062,  0.1746, -0.34, 0.4, 1.1 ,  0.0114,  1.47 , -0.0363, -0.07, 0.33  , -0.14, 0.6, 0.43, 0.738),            ( 1.5  ,  400. , -1.025, 1.18, 1.88, 10,  2.0123, -0.77, 0.1, 0.9, 0, -0.0064, -0.082 , -0.05, 0.4, 0.7 ,  0.01  ,  0.408, -0.0493,  0.  , 0.31  ,  0.  , 0.6, 0.43, 0.738),            ( 2.   ,  400. , -0.299, 1.18, 1.88, 10,  1.4128, -0.71, 0.1, 0.9, 0, -0.0064, -0.2821,  0.12, 0.4, 0.7 ,  0.0085, -0.401, -0.061 ,  0.  , 0.3   ,  0.  , 0.6, 0.43, 0.738),            ( 2.5  ,  400. ,  0.   , 1.18, 1.88, 10,  0.9976, -0.67, 0.1, 0.9, 0, -0.0064, -0.4108,  0.25, 0.4, 0.7 ,  0.0069, -0.723, -0.0711,  0.  , 0.3   ,  0.  , 0.6, 0.43, 0.738),            ( 3.   ,  400. ,  0.   , 1.18, 1.88, 10,  0.6443, -0.64, 0.1, 0.9, 0, -0.0064, -0.4466,  0.3 , 0.4, 0.7 ,  0.0054, -0.673, -0.0798,  0.  , 0.3   ,  0.  , 0.6, 0.43, 0.738),            ( 4.   ,  400. ,  0.   , 1.18, 1.88, 10,  0.0657, -0.58, 0.1, 0.9, 0, -0.0064, -0.4344,  0.3 , 0.4, 0.7 ,  0.0027, -0.627, -0.0935,  0.  , 0.3   ,  0.  , 0.6, 0.43, 0.738),            ( 5.   ,  400. ,  0.   , 1.18, 1.88, 10, -0.4624, -0.54, 0.1, 0.9, 0, -0.0064, -0.4368,  0.3 , 0.4, 0.7 ,  0.0005, -0.596, -0.098 ,  0.  , 0.3   ,  0.  , 0.6, 0.43, 0.738),            ( 6.   ,  400. ,  0.   , 1.18, 1.88, 10, -0.9809, -0.5 , 0.1, 0.9, 0, -0.0064, -0.4586,  0.3 , 0.4, 0.7 , -0.0013, -0.566, -0.098 ,  0.  , 0.3   ,  0.  , 0.6, 0.43, 0.738),            ( 7.5  ,  400. ,  0.   , 1.18, 1.88, 10, -1.6017, -0.46, 0.1, 0.9, 0, -0.0064, -0.4433,  0.3 , 0.4, 0.7 , -0.0033, -0.528, -0.098 ,  0.  , 0.3   ,  0.  , 0.6, 0.43, 0.738),            (10.   ,  400. ,  0.   , 1.18, 1.88, 10, -2.2937, -0.4 , 0.1, 0.9, 0, -0.0064, -0.4828,  0.3 , 0.4, 0.7 , -0.006 , -0.504, -0.098 ,  0.  , 0.3   ,  0.  , 0.6, 0.43, 0.738)],           dtype=[('period', '<f8'), ('v_lin', '<f8'), ('b', '<f8'), ('n', '<f8'), ('c', '<f8'), ('c_4', '<i8'), ('t_1', '<f8'), ('t_2', '<f8'), ('t_3', '<f8'), ('t_4', '<f8'), ('t_5', '<i8'), ('t_6', '<f8'), ('t_7', '<f8'), ('t_8', '<f8'), ('t_9', '<f8'), ('t_10', '<f8'), ('t_11', '<f8'), ('t_12', '<f8'), ('t_13', '<f8'), ('t_14', '<f8'), ('t_15', '<f8'), ('t_16', '<f8'), ('phi', '<f8'), ('tau', '<f8'), ('sigma', '<f8')])

PERIODS = array([ 0.   ,  0.02 ,  0.05 ,  0.075,  0.1  ,  0.15 ,  0.2  ,  0.25 ,         0.3  ,  0.4  ,  0.5  ,  0.6  ,  0.75 ,  1.   ,  1.5  ,  2.   ,         2.5  ,  3.   ,  4.   ,  5.   ,  6.   ,  7.5  , 10.   ])

Indices of the periods

INDEX_PGA = 0

Index of the peak ground acceleration

INDICES_PSA = array([ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,        18, 19, 20, 21, 22])

Indices for the spectral accelerations

LIMITS = {'dist_jb': (0.0, 300.0), 'mag': (3.0, 8.5), 'v_s30': (150.0, 1500.0)}

Limits of model applicability

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

property adjust_c1

property adjust_c4

property scale_atten

pygmm.abrahamson_silva_1996 module

Abrahamson and Silva (1996, []) duration model.

class pygmm.abrahamson_silva_1996.AbrahamsonSilva1996(scenario)

Bases: Model

Abrahamson and Silva (1996, []) duration model.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Abrahamson Silva (1996)'

Long name of the model

ABBREV = 'AS96'

Short name of the model

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

property duration

property std_err

static calc_ln_dur_incr(nias)

interp(nias, stds=None)

pygmm.abrahamson_silva_kamai_2014 module

Abrahamson, Silva, and Kamai (2014, []) model.

class pygmm.abrahamson_silva_kamai_2014.AbrahamsonSilvaKamai2014(scenario: Scenario)

Bases: GroundMotionModel

Abrahamson, Silva, and Kamai (2014, []) model.

This model was developed for active tectonic regions as part of the NGA-West2 effort.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Abrahamson, Silva, & Kamai (2014)'

Long name of the model

ABBREV = 'ASK14'

Short name of the model

V_REF = 1180.0

COEFF = rec.array([( 0.01 , 6.75 , 5, 660, -1.47 ,    2.4, 1.5, 4.5,  0.587, -0.79 , 0.275, -0.1, -0.41, 2.1541, 0, -0.015,  1.735, 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.0072, 0.1 , 0.05 , 0.  , -0.05, -0.0015, 0.0025, -0.0034, -0.1503,  0.265,  0.337,  0.188, 0, 0.088, -0.196,  0.044, 0.754, 0.52 , 0.47, 0.36, 0.741, 0.501, 0.54, 0.63),            ( 0.02 , 6.75 , 5, 680, -1.459,    2.4, 1.5, 4.5,  0.598, -0.79 , 0.275, -0.1, -0.41, 2.1461, 0, -0.015,  1.718, 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.0073, 0.1 , 0.05 , 0.  , -0.05, -0.0015, 0.0024, -0.0033, -0.1479,  0.255,  0.328,  0.184, 0, 0.088, -0.194,  0.061, 0.76 , 0.52 , 0.47, 0.36, 0.747, 0.501, 0.54, 0.63),            ( 0.03 , 6.75 , 5, 770, -1.39 ,    2.4, 1.5, 4.5,  0.602, -0.79 , 0.275, -0.1, -0.41, 2.1566, 0, -0.015,  1.615, 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.0075, 0.1 , 0.05 , 0.  , -0.05, -0.0016, 0.0023, -0.0034, -0.1447,  0.249,  0.32 ,  0.18 , 0, 0.093, -0.175,  0.162, 0.781, 0.52 , 0.47, 0.36, 0.769, 0.501, 0.55, 0.63),            ( 0.05 , 6.75 , 5, 915, -1.219,    2.4, 1.5, 4.5,  0.707, -0.79 , 0.275, -0.1, -0.41, 2.0845, 0, -0.015,  1.358, 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.008 , 0.1 , 0.05 , 0.  , -0.05, -0.002 , 0.0027, -0.0033, -0.1326,  0.202,  0.289,  0.167, 0, 0.133, -0.09 ,  0.451, 0.81 , 0.53 , 0.47, 0.36, 0.798, 0.512, 0.56, 0.65),            ( 0.075, 6.75 , 5, 960, -1.152,    2.4, 1.5, 4.5,  0.973, -0.79 , 0.275, -0.1, -0.41, 2.0285, 0, -0.015,  1.258, 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.0089, 0.1 , 0.05 , 0.  , -0.05, -0.0027, 0.0032, -0.0029, -0.1353,  0.126,  0.275,  0.173, 0, 0.186,  0.09 ,  0.506, 0.81 , 0.54 , 0.47, 0.36, 0.798, 0.522, 0.57, 0.69),            ( 0.1  , 6.75 , 5, 910, -1.23 ,    2.4, 1.5, 4.5,  1.169, -0.79 , 0.275, -0.1, -0.41, 2.0408, 0, -0.015,  1.31 , 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.0095, 0.1 , 0.05 , 0.  , -0.05, -0.0033, 0.0036, -0.0025, -0.1128,  0.022,  0.256,  0.189, 0, 0.16 ,  0.006,  0.335, 0.81 , 0.55 , 0.47, 0.36, 0.795, 0.527, 0.57, 0.7 ),            ( 0.15 , 6.75 , 5, 740, -1.587,    2.4, 1.5, 4.5,  1.442, -0.79 , 0.275, -0.1, -0.41, 2.1208, 0, -0.022,  1.66 , 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.0095, 0.1 , 0.05 , 0.  , -0.05, -0.0035, 0.0033, -0.0025,  0.0383, -0.136,  0.162,  0.108, 0, 0.068, -0.156, -0.084, 0.801, 0.56 , 0.47, 0.36, 0.773, 0.519, 0.58, 0.7 ),            ( 0.2  , 6.75 , 5, 590, -2.012,    2.4, 1.5, 4.5,  1.637, -0.79 , 0.275, -0.1, -0.41, 2.2241, 0, -0.03 ,  2.22 , 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.0086, 0.1 , 0.05 , 0.  , -0.03, -0.0033, 0.0027, -0.0031,  0.0775, -0.078,  0.224,  0.115, 0, 0.048, -0.274, -0.178, 0.789, 0.565, 0.47, 0.36, 0.753, 0.514, 0.59, 0.7 ),            ( 0.25 , 6.75 , 5, 495, -2.411,    2.4, 1.5, 4.5,  1.701, -0.79 , 0.275, -0.1, -0.41, 2.3124, 0, -0.038,  2.77 , 0, -0.1, 0.6 , -0.24,  1.1 , -0.0074, 0.1 , 0.05 , 0.  ,  0.  , -0.0029, 0.0024, -0.0036,  0.0741,  0.037,  0.248,  0.122, 0, 0.055, -0.248, -0.187, 0.77 , 0.57 , 0.47, 0.36, 0.729, 0.513, 0.61, 0.7 ),            ( 0.3  , 6.75 , 5, 430, -2.757,    2.4, 1.5, 4.5,  1.712, -0.79 , 0.275, -0.1, -0.41, 2.3383, 0, -0.045,  3.25 , 0, -0.1, 0.6 , -0.19,  1.03, -0.0064, 0.1 , 0.05 , 0.03,  0.03, -0.0027, 0.002 , -0.0039,  0.2548, -0.091,  0.203,  0.096, 0, 0.073, -0.203, -0.159, 0.74 , 0.58 , 0.47, 0.36, 0.693, 0.519, 0.63, 0.7 ),            ( 0.4  , 6.75 , 5, 360, -3.278,    2.4, 1.5, 4.5,  1.662, -0.79 , 0.275, -0.1, -0.41, 2.4688, 0, -0.055,  3.99 , 0, -0.1, 0.58, -0.11,  0.92, -0.0043, 0.1 , 0.07 , 0.06,  0.06, -0.0023, 0.001 , -0.0048,  0.2136,  0.129,  0.232,  0.123, 0, 0.143, -0.154, -0.023, 0.699, 0.59 , 0.47, 0.36, 0.644, 0.524, 0.66, 0.7 ),            ( 0.5  , 6.75 , 5, 340, -3.599,    2.4, 1.5, 4.5,  1.571, -0.79 , 0.275, -0.1, -0.41, 2.5586, 0, -0.065,  4.45 , 0, -0.1, 0.56, -0.04,  0.84, -0.0032, 0.1 , 0.1  , 0.1 ,  0.09, -0.002 , 0.0008, -0.005 ,  0.1542,  0.31 ,  0.252,  0.134, 0, 0.16 , -0.159, -0.029, 0.676, 0.6  , 0.47, 0.36, 0.616, 0.532, 0.69, 0.7 ),            ( 0.75 , 6.75 , 5, 330, -3.8  ,    2.4, 1.5, 4.5,  1.299, -0.79 , 0.275, -0.1, -0.41, 2.6821, 0, -0.095,  4.75 , 0, -0.1, 0.53,  0.07,  0.68, -0.0025, 0.14, 0.14 , 0.14,  0.13, -0.001 , 0.0007, -0.0041,  0.0787,  0.505,  0.208,  0.129, 0, 0.158, -0.141,  0.061, 0.631, 0.615, 0.47, 0.36, 0.566, 0.548, 0.73, 0.69),            ( 1.   , 6.75 , 5, 330, -3.5  ,    2.4, 1.5, 4.5,  1.043, -0.79 , 0.275, -0.1, -0.41, 2.763 , 0, -0.11 ,  4.3  , 0, -0.1, 0.5 ,  0.15,  0.57, -0.0025, 0.17, 0.17 , 0.17,  0.14, -0.0005, 0.0007, -0.0032,  0.0476,  0.358,  0.208,  0.152, 0, 0.145, -0.144,  0.062, 0.609, 0.63 , 0.47, 0.36, 0.541, 0.565, 0.77, 0.68),            ( 1.5  , 6.75 , 5, 330, -2.4  ,    2.4, 1.5, 4.5,  0.665, -0.79 , 0.275, -0.1, -0.41, 2.8355, 0, -0.124,  2.6  , 0, -0.1, 0.42,  0.27,  0.42, -0.0022, 0.22, 0.21 , 0.2 ,  0.16, -0.0004, 0.0006, -0.002 , -0.0163,  0.131,  0.108,  0.118, 0, 0.131, -0.126,  0.037, 0.578, 0.64 , 0.47, 0.36, 0.506, 0.576, 0.8 , 0.66),            ( 2.   , 6.75 , 5, 330, -1.   ,    2.4, 1.5, 4.5,  0.329, -0.79 , 0.275, -0.1, -0.41, 2.8973, 0, -0.138,  0.55 , 0, -0.1, 0.35,  0.35,  0.31, -0.0019, 0.26, 0.25 , 0.22,  0.16, -0.0002, 0.0003, -0.0017, -0.1203,  0.123,  0.068,  0.119, 0, 0.083, -0.075, -0.143, 0.555, 0.65 , 0.47, 0.36, 0.48 , 0.587, 0.8 , 0.62),            ( 3.   , 6.82 , 5, 330,  0.   ,    2.4, 1.5, 4.5, -0.06 , -0.79 , 0.275, -0.1, -0.41, 2.9061, 0, -0.172, -0.95 , 0, -0.1, 0.2 ,  0.46,  0.16, -0.0015, 0.34, 0.3  , 0.23,  0.16,  0.    , 0.    , -0.002 , -0.2719,  0.109, -0.023,  0.093, 0, 0.07 , -0.021, -0.028, 0.548, 0.64 , 0.47, 0.36, 0.472, 0.576, 0.8 , 0.55),            ( 4.   , 6.92 , 5, 330,  0.   ,    2.4, 1.5, 4.5, -0.299, -0.79 , 0.275, -0.1, -0.41, 2.8888, 0, -0.197, -0.95 , 0, -0.1, 0.  ,  0.54,  0.05, -0.001 , 0.41, 0.32 , 0.23,  0.14,  0.    , 0.    , -0.002 , -0.2958,  0.135,  0.028,  0.084, 0, 0.101,  0.072, -0.097, 0.527, 0.63 , 0.47, 0.36, 0.447, 0.565, 0.76, 0.52),            ( 5.   , 7.   , 5, 330,  0.   ,    2.4, 1.5, 4.5, -0.562, -0.765, 0.275, -0.1, -0.41, 2.8984, 0, -0.218, -0.93 , 0, -0.1, 0.  ,  0.61, -0.04, -0.001 , 0.51, 0.32 , 0.22,  0.13,  0.    , 0.    , -0.002 , -0.2718,  0.189,  0.031,  0.058, 0, 0.095,  0.205,  0.015, 0.505, 0.63 , 0.47, 0.36, 0.425, 0.568, 0.72, 0.5 ),            ( 6.   , 7.06 , 5, 330,  0.   ,    2.4, 1.5, 4.5, -0.875, -0.711, 0.275, -0.1, -0.41, 2.8955, 0, -0.235, -0.91 , 0, -0.2, 0.  ,  0.65, -0.11, -0.001 , 0.55, 0.32 , 0.2 ,  0.1 ,  0.    , 0.    , -0.002 , -0.2517,  0.215,  0.024,  0.065, 0, 0.133,  0.285,  0.104, 0.477, 0.63 , 0.47, 0.36, 0.395, 0.571, 0.7 , 0.5 ),            ( 7.5  , 7.145, 5, 330,  0.   ,    2.4, 1.5, 4.5, -1.303, -0.634, 0.275, -0.1, -0.41, 2.87  , 0, -0.255, -0.87 , 0, -0.2, 0.  ,  0.72, -0.19, -0.001 , 0.49, 0.275, 0.17,  0.09,  0.    , 0.    , -0.002 , -0.14  ,  0.15 , -0.07 ,  0.   , 0, 0.151,  0.329,  0.299, 0.457, 0.63 , 0.47, 0.36, 0.378, 0.575, 0.67, 0.5 ),            (10.   , 7.25 , 5, 330,  0.   ,    2.4, 1.5, 4.5, -1.928, -0.529, 0.275, -0.1, -0.41, 2.8431, 0, -0.285, -0.8  , 0, -0.2, 0.  ,  0.8 , -0.3 , -0.001 , 0.42, 0.22 , 0.14,  0.08,  0.    , 0.    , -0.002 , -0.0216,  0.092, -0.159, -0.05 , 0, 0.124,  0.301,  0.243, 0.429, 0.63 , 0.47, 0.36, 0.359, 0.585, 0.64, 0.5 ),            ( 0.   , 6.75 , 5, 660, -1.47 ,    2.4, 1.5, 4.5,  0.587, -0.79 , 0.275, -0.1, -0.41, 2.1541, 0, -0.015,  1.735, 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.0072, 0.1 , 0.05 , 0.  , -0.05, -0.0015, 0.0025, -0.0034, -0.1503,  0.265,  0.337,  0.188, 0, 0.088, -0.196,  0.044, 0.754, 0.52 , 0.47, 0.36, 0.741, 0.501, 0.54, 0.63),            (-1.   , 6.75 , 5, 330, -2.02 , 2400. , 1.5, 4.5,  5.975, -0.919, 0.275, -0.1, -0.41, 2.3657, 0, -0.094,  2.36 , 0, -0.1, 0.25,  0.22,  0.3 , -0.0005, 0.28, 0.15 , 0.09,  0.07, -0.0001, 0.0005, -0.0037, -0.1462,  0.377,  0.212,  0.157, 0, 0.095, -0.038,  0.065, 0.662, 0.51 , 0.38, 0.38, 0.66 , 0.51 , 0.58, 0.53)],           dtype=[('period', '<f8'), ('m1', '<f8'), ('m2', '<i8'), ('v_lin', '<i8'), ('b', '<f8'), ('c', '<f8'), ('n', '<f8'), ('c4', '<f8'), ('a1', '<f8'), ('a2', '<f8'), ('a3', '<f8'), ('a4', '<f8'), ('a5', '<f8'), ('a6', '<f8'), ('a7', '<i8'), ('a8', '<f8'), ('a10', '<f8'), ('a11', '<i8'), ('a12', '<f8'), ('a13', '<f8'), ('a14', '<f8'), ('a15', '<f8'), ('a17', '<f8'), ('a43', '<f8'), ('a44', '<f8'), ('a45', '<f8'), ('a46', '<f8'), ('a25', '<f8'), ('a28', '<f8'), ('a29', '<f8'), ('a31', '<f8'), ('a36', '<f8'), ('a37', '<f8'), ('a38', '<f8'), ('a39', '<i8'), ('a40', '<f8'), ('a41', '<f8'), ('a42', '<f8'), ('s1e', '<f8'), ('s2e', '<f8'), ('s3', '<f8'), ('s4', '<f8'), ('s1m', '<f8'), ('s2m', '<f8'), ('s5', '<f8'), ('s6', '<f8')])

PERIODS = array([ 0.01 ,  0.02 ,  0.03 ,  0.05 ,  0.075,  0.1  ,  0.15 ,  0.2  ,         0.25 ,  0.3  ,  0.4  ,  0.5  ,  0.75 ,  1.   ,  1.5  ,  2.   ,         3.   ,  4.   ,  5.   ,  6.   ,  7.5  , 10.   ,  0.   , -1.   ])

Indices of the periods

INDICES_PSA = array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,        17, 18, 19, 20, 21])

Indices for the spectral accelerations

INDEX_PGA = -2

Index of the peak ground acceleration

INDEX_PGV = -1

Index of the peak ground velocity

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

classmethod calc_site_term(resp_ref: Union[List[float], ndarray], v_s30: float, depth_1_0: float, region: str = 'california')

Calculate the site term, which includes site and basin effects.

Parameters

• resp_ref (array_like, optional) – response at the reference condition

• v_s30 (float) – site condition. Set v_s30 to the reference velocity (e.g., 1180 m/s) for the reference response.

• depth_1_0 (float) – depth to the 1.0 km∕s shear-wave velocity horizon beneath the site, \(Z_{1.0}\) in (km).

• region (str, optional) – region of basin model. Valid options: ‘california’, ‘japan’. If None, then ‘california’ is used as the default value.

Returns

site_term – site term that is applied to the natural log response.

Return type

np.ndarray

static calc_width(mag: float, dip: float) → float

Compute the fault width based on equation in NGW2 spreadsheet.

This equation is not provided in the paper.

Parameters

• mag (float) – moment magnitude of the event (\(M_w\))

• dip (float) – Fault dip angle (\(\phi\), deg)

Returns

width – estimated fault width (\(W\), km)

Return type

float

static calc_depth_tor(mag: float) → float

Calculate the depth to top of rupture (km).

Parameters

mag (float) – moment magnitude of the event (\(M_w\))

Returns

depth_tor – estimated depth to top of rupture (km)

Return type

float

static calc_depth_1_0(v_s30: float, region: str = 'california') → float

Estimate the depth to 1 km/sec horizon (\(Z_{1.0}\)) based on \(V_{s30}\) and region.

This is based on equations 18 and 19 in the [] and differs from the equations in the [].

Parameters

• v_s30 (float) – time-averaged shear-wave velocity over the top 30 m of the site (\(V_{s30}\), m/s). Keyword Args:

• region (str, optional) – region of basin model. Valid options: ‘california’, ‘japan’. If None, then ‘california’ is used as the default value.

Returns

depth_1_0 – depth to a shear-wave velocity of 1,000 m/sec (\(Z_{1.0}\), km).

Return type

float

pygmm.akkar_sandikkaya_bommer_2014 module

Akkar, Sandikkaya, & Bommer (2014, []) model.

class pygmm.akkar_sandikkaya_bommer_2014.AkkarSandikkayaBommer2014(scenario: Scenario)

Bases: GroundMotionModel

Akkar, Sandikkaya, & Bommer (2014, []) model.

The model is specified for three different distance metrics. However, the implementation uses only one distance metric. They are used in the following order:

1. dist_jb

2. dist_hyp

3. dist_epi

This order was selected based on evaluation of the total standard deviation. To compute the response for differing metrics, call the model multiple times with different keywords.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Akkar, Sandikkaya, & Bommer (2014)'

Long name of the model

ABBREV = 'ASB14'

Short name of the model

V_REF = 750.0

COEFF = {'dist_epi': rec.array([( 0.   ,  2.52977, 0.0029, -0.05496, -1.31001, 0.2529, 7.5, -0.5096, -0.1091,  0.0937, 6.75, 1000, 750, 2.5, 3.2, -0.41997, -0.28846, 0.6375, 0.3581, 0.7312),            (-1.   ,  6.13498, 0.0029, -0.12091, -1.04013, 0.2529, 7.5, -0.5096, -0.0616,  0.063 , 6.75, 1000, 750, 2.5, 3.2, -0.72057, -0.19688, 0.6143, 0.3485, 0.7063),            ( 0.01 ,  2.54832, 0.0029, -0.05434, -1.31268, 0.2529, 7.5, -0.5096, -0.1115,  0.0953, 6.75, 1000, 750, 2.5, 3.2, -0.41729, -0.28685, 0.6389, 0.3607, 0.7337),            ( 0.02 ,  2.6442 , 0.0029, -0.05452, -1.33135, 0.2529, 7.5, -0.5096, -0.104 ,  0.1029, 6.75, 1000, 750, 2.5, 3.2, -0.39998, -0.28241, 0.6434, 0.3615, 0.738 ),            ( 0.03 ,  2.77723, 0.0029, -0.05196, -1.35509, 0.2529, 7.5, -0.5096, -0.0973,  0.1148, 6.75, 1000, 750, 2.5, 3.2, -0.34799, -0.26842, 0.6569, 0.3617, 0.7499),            ( 0.04 ,  2.92666, 0.0029, -0.04657, -1.38259, 0.2529, 7.5, -0.5096, -0.0884,  0.1073, 6.75, 1000, 750, 2.5, 3.2, -0.27572, -0.24759, 0.6693, 0.353 , 0.7567),            ( 0.05 ,  3.09355, 0.0029, -0.04168, -1.41008, 0.2529, 7.5, -0.5096, -0.0853,  0.1052, 6.75, 1000, 750, 2.5, 3.2, -0.21231, -0.22385, 0.6773, 0.3612, 0.7676),            ( 0.075,  3.38462, 0.0029, -0.03506, -1.44268, 0.2529, 7.5, -0.5096, -0.0779,  0.0837, 6.75, 1000, 750, 2.5, 3.2, -0.14427, -0.17525, 0.6791, 0.3853, 0.7808),            ( 0.1  ,  3.61906, 0.0029, -0.03936, -1.4687 , 0.2529, 7.5, -0.5096, -0.0749,  0.0761, 6.75, 1000, 750, 2.5, 3.2, -0.27064, -0.29293, 0.6851, 0.416 , 0.8015),            ( 0.11 ,  3.66537, 0.0029, -0.04081, -1.47079, 0.2529, 7.5, -0.5096, -0.0704,  0.0707, 6.75, 1000, 750, 2.5, 3.2, -0.31025, -0.31837, 0.6884, 0.4163, 0.8045),            ( 0.12 ,  3.68544, 0.0029, -0.04295, -1.4652 , 0.2529, 7.5, -0.5096, -0.0604,  0.0653, 6.75, 1000, 750, 2.5, 3.2, -0.34796, -0.3386 , 0.696 , 0.4118, 0.8087),            ( 0.13 ,  3.70155, 0.0029, -0.04581, -1.45986, 0.2529, 7.5, -0.5096, -0.049 ,  0.0617, 6.75, 1000, 750, 2.5, 3.2, -0.39668, -0.36646, 0.6997, 0.4102, 0.8111),            ( 0.14 ,  3.70871, 0.0029, -0.04848, -1.45433, 0.2529, 7.5, -0.5096, -0.0377,  0.0581, 6.75, 1000, 750, 2.5, 3.2, -0.43996, -0.38417, 0.7032, 0.4028, 0.8104),            ( 0.15 ,  3.70477, 0.0029, -0.05156, -1.44613, 0.2529, 7.5, -0.5096, -0.0265,  0.0545, 6.75, 1000, 750, 2.5, 3.2, -0.48313, -0.39551, 0.7011, 0.3978, 0.8061),            ( 0.16 ,  3.65565, 0.0029, -0.0535 , -1.42989, 0.2529, 7.5, -0.5096, -0.0194,  0.0509, 6.75, 1000, 750, 2.5, 3.2, -0.52431, -0.40869, 0.6997, 0.3989, 0.8054),            ( 0.17 ,  3.59764, 0.0029, -0.05583, -1.4111 , 0.2529, 7.5, -0.5096, -0.0125,  0.0507, 6.75, 1000, 750, 2.5, 3.2, -0.5568 , -0.41528, 0.697 , 0.403 , 0.8051),            ( 0.18 ,  3.53732, 0.0029, -0.0583 , -1.39329, 0.2529, 7.5, -0.5096, -0.0056,  0.0502, 6.75, 1000, 750, 2.5, 3.2, -0.58922, -0.42717, 0.6956, 0.4041, 0.8045),            ( 0.19 ,  3.47722, 0.0029, -0.0609 , -1.37648, 0.2529, 7.5, -0.5096,  0.    ,  0.0497, 6.75, 1000, 750, 2.5, 3.2, -0.62635, -0.4413 , 0.6915, 0.4017, 0.7997),            ( 0.2  ,  3.40112, 0.0029, -0.0621 , -1.3577 , 0.2529, 7.5, -0.5096,  0.    ,  0.0493, 6.75, 1000, 750, 2.5, 3.2, -0.65315, -0.44644, 0.6922, 0.3965, 0.7977),            ( 0.22 ,  3.27214, 0.0029, -0.06461, -1.32624, 0.2529, 7.5, -0.5096,  0.    ,  0.0488, 6.75, 1000, 750, 2.5, 3.2, -0.68711, -0.44872, 0.6893, 0.4005, 0.7972),            ( 0.24 ,  3.15842, 0.0029, -0.06791, -1.29833, 0.2529, 7.5, -0.5096,  0.    ,  0.0483, 6.75, 1000, 750, 2.5, 3.2, -0.72744, -0.46341, 0.6942, 0.3919, 0.7972),            ( 0.26 ,  3.09498, 0.0029, -0.07344, -1.27945, 0.2529, 7.5, -0.5096,  0.    ,  0.0478, 6.75, 1000, 750, 2.5, 3.2, -0.77335, -0.48705, 0.6938, 0.3898, 0.7958),            ( 0.28 ,  2.9809 , 0.0029, -0.07698, -1.25442, 0.2529, 7.5, -0.5096,  0.    ,  0.0474, 6.75, 1000, 750, 2.5, 3.2, -0.80508, -0.47334, 0.6877, 0.3883, 0.7898),            ( 0.3  ,  2.87449, 0.0029, -0.08126, -1.22665, 0.2529, 7.5, -0.5096,  0.    ,  0.0469, 6.75, 1000, 750, 2.5, 3.2, -0.82609, -0.4573 , 0.6897, 0.3894, 0.792 ),            ( 0.32 ,  2.72364, 0.0029, -0.08387, -1.19143, 0.2529, 7.5, -0.5096,  0.    ,  0.0464, 6.75, 1000, 750, 2.5, 3.2, -0.8408 , -0.44267, 0.6947, 0.3941, 0.7987),            ( 0.34 ,  2.60904, 0.0029, -0.08816, -1.16231, 0.2529, 7.5, -0.5096,  0.    ,  0.0459, 6.75, 1000, 750, 2.5, 3.2, -0.86251, -0.43888, 0.6939, 0.3937, 0.7978),            ( 0.36 ,  2.54266, 0.0029, -0.09239, -1.14444, 0.2529, 7.5, -0.5096,  0.    ,  0.0459, 6.75, 1000, 750, 2.5, 3.2, -0.87479, -0.4382 , 0.6945, 0.3997, 0.8013),            ( 0.38 ,  2.46615, 0.0029, -0.09576, -1.127  , 0.2529, 7.5, -0.5096,  0.    ,  0.0429, 6.75, 1000, 750, 2.5, 3.2, -0.88522, -0.43678, 0.6971, 0.4012, 0.8043),            ( 0.4  ,  2.40119, 0.0029, -0.09885, -1.11318, 0.2529, 7.5, -0.5096,  0.    ,  0.04  , 6.75, 1000, 750, 2.5, 3.2, -0.89517, -0.43008, 0.6971, 0.4012, 0.8043),            ( 0.42 ,  2.3454 , 0.0029, -0.10198, -1.10318, 0.2529, 7.5, -0.5096,  0.    ,  0.0374, 6.75, 1000, 750, 2.5, 3.2, -0.90875, -0.4219 , 0.6955, 0.3946, 0.7996),            ( 0.44 ,  2.28213, 0.0029, -0.10464, -1.09241, 0.2529, 7.5, -0.5096,  0.    ,  0.0349, 6.75, 1000, 750, 2.5, 3.2, -0.91922, -0.40903, 0.6891, 0.3985, 0.796 ),            ( 0.46 ,  2.2344 , 0.0029, -0.10771, -1.08445, 0.2529, 7.5, -0.5096,  0.    ,  0.0323, 6.75, 1000, 750, 2.5, 3.2, -0.9267 , -0.39442, 0.6825, 0.4056, 0.7939),            ( 0.48 ,  2.20123, 0.0029, -0.11199, -1.07592, 0.2529, 7.5, -0.5096,  0.    ,  0.0297, 6.75, 1000, 750, 2.5, 3.2, -0.9372 , -0.38462, 0.6785, 0.4068, 0.7911),            ( 0.5  ,  2.16953, 0.0029, -0.11604, -1.06795, 0.2529, 7.5, -0.5096,  0.    ,  0.0271, 6.75, 1000, 750, 2.5, 3.2, -0.94614, -0.37408, 0.6751, 0.4065, 0.788 ),            ( 0.55 ,  2.03012, 0.0029, -0.12344, -1.04242, 0.2529, 7.5, -0.5096,  0.    ,  0.0245, 6.75, 1000, 750, 2.5, 3.2, -0.96564, -0.35582, 0.6788, 0.4087, 0.7923),            ( 0.6  ,  1.84644, 0.0029, -0.12745, -1.01046, 0.2529, 7.5, -0.5096,  0.    ,  0.0219, 6.75, 1000, 750, 2.5, 3.2, -0.98499, -0.34053, 0.6845, 0.4085, 0.7971),            ( 0.65 ,  1.6676 , 0.0029, -0.13195, -0.97801, 0.2529, 7.5, -0.5096,  0.    ,  0.0193, 6.75, 1000, 750, 2.5, 3.2, -0.99733, -0.30949, 0.6857, 0.4128, 0.8004),            ( 0.7  ,  1.53432, 0.0029, -0.13715, -0.95428, 0.2529, 7.5, -0.5096,  0.    ,  0.0167, 6.75, 1000, 750, 2.5, 3.2, -1.00469, -0.28772, 0.6902, 0.4101, 0.8028),            ( 0.75 ,  1.38296, 0.0029, -0.14169, -0.92585, 0.2529, 7.5, -0.5096,  0.    ,  0.0141, 6.75, 1000, 750, 2.5, 3.2, -1.00786, -0.28957, 0.6937, 0.4011, 0.8013),            ( 0.8  ,  1.28662, 0.0029, -0.14485, -0.91241, 0.2529, 7.5, -0.5096,  0.    ,  0.0115, 6.75, 1000, 750, 2.5, 3.2, -1.00606, -0.28555, 0.6884, 0.3962, 0.7943),            ( 0.85 ,  1.20114, 0.0029, -0.14922, -0.89909, 0.2529, 7.5, -0.5096,  0.    ,  0.0089, 6.75, 1000, 750, 2.5, 3.2, -1.01093, -0.28364, 0.6866, 0.3951, 0.7922),            ( 0.9  ,  1.09991, 0.0029, -0.1532 , -0.88377, 0.2529, 7.5, -0.5096,  0.    ,  0.0062, 6.75, 1000, 750, 2.5, 3.2, -1.01576, -0.28037, 0.6881, 0.3979, 0.7949),            ( 0.95 ,  1.01256, 0.0029, -0.157  , -0.8705 , 0.2529, 7.5, -0.5096,  0.    ,  0.0016, 6.75, 1000, 750, 2.5, 3.2, -1.01353, -0.2839 , 0.6904, 0.3955, 0.7957),            ( 1.   ,  0.94162, 0.0029, -0.16069, -0.86109, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.01331, -0.28702, 0.6922, 0.3965, 0.7977),            ( 1.1  ,  0.78017, 0.0029, -0.16727, -0.83743, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.0124 , -0.27669, 0.7047, 0.3819, 0.8015),            ( 1.2  ,  0.63219, 0.0029, -0.17174, -0.81877, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.00489, -0.27538, 0.7138, 0.3807, 0.809 ),            ( 1.3  ,  0.48905, 0.0029, -0.17712, -0.79698, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.98876, -0.25008, 0.7137, 0.3827, 0.8098),            ( 1.4  ,  0.38492, 0.0029, -0.18237, -0.78548, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.9776 , -0.23508, 0.7263, 0.3787, 0.8191),            ( 1.5  ,  0.36315, 0.0029, -0.1879 , -0.79498, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.98071, -0.24695, 0.7287, 0.3821, 0.8228),            ( 1.6  ,  0.28812, 0.0029, -0.19363, -0.78665, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.96369, -0.2287 , 0.7307, 0.3854, 0.8261),            ( 1.7  ,  0.18172, 0.0029, -0.19545, -0.77778, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.94634, -0.21655, 0.7322, 0.3751, 0.8227),            ( 1.8  ,  0.13021, 0.0029, -0.20069, -0.77282, 0.2529, 7.5, -0.5096,  0.    , -0.003 , 6.75, 1000, 750, 2.5, 3.2, -0.93606, -0.20302, 0.7316, 0.3749, 0.8221),            ( 1.9  ,  0.05074, 0.0029, -0.20386, -0.76574, 0.2529, 7.5, -0.5096,  0.    , -0.006 , 6.75, 1000, 750, 2.5, 3.2, -0.91408, -0.18228, 0.7341, 0.3761, 0.8248),            ( 2.   , -0.02806, 0.0029, -0.20666, -0.7626 , 0.2529, 7.5, -0.5096,  0.    , -0.009 , 6.75, 1000, 750, 2.5, 3.2, -0.91007, -0.17336, 0.7333, 0.3734, 0.8229),            ( 2.2  , -0.15016, 0.0029, -0.21319, -0.75952, 0.2529, 7.5, -0.5096,  0.    , -0.0141, 6.75, 1000, 750, 2.5, 3.2, -0.89376, -0.15463, 0.7277, 0.3794, 0.8207),            ( 2.4  , -0.26608, 0.0029, -0.2196 , -0.75011, 0.2529, 7.5, -0.5096,  0.    , -0.0284, 6.75, 1000, 750, 2.5, 3.2, -0.87052, -0.13181, 0.7199, 0.4025, 0.8248),            ( 2.6  , -0.39025, 0.0029, -0.2233 , -0.74326, 0.2529, 7.5, -0.5096,  0.    , -0.0408, 6.75, 1000, 750, 2.5, 3.2, -0.85889, -0.14066, 0.7171, 0.4049, 0.8235),            ( 2.8  , -0.49742, 0.0029, -0.22716, -0.74185, 0.2529, 7.5, -0.5096,  0.    , -0.0534, 6.75, 1000, 750, 2.5, 3.2, -0.86106, -0.13882, 0.7175, 0.409 , 0.8259),            ( 3.   , -0.64241, 0.0029, -0.23038, -0.73634, 0.2529, 7.5, -0.5096,  0.    , -0.0683, 6.75, 1000, 750, 2.5, 3.2, -0.85793, -0.13336, 0.7051, 0.4115, 0.8164),            ( 3.2  , -0.7667 , 0.0029, -0.23049, -0.72149, 0.2529, 7.5, -0.5096,  0.    , -0.078 , 6.75, 1000, 750, 2.5, 3.2, -0.82094, -0.1377 , 0.6876, 0.428 , 0.8099),            ( 3.4  , -0.80566, 0.0029, -0.23726, -0.72539, 0.2529, 7.5, -0.5096,  0.    , -0.0943, 6.75, 1000, 750, 2.5, 3.2, -0.84449, -0.15337, 0.675 , 0.4029, 0.7861),            ( 3.6  , -0.945  , 0.0029, -0.24437, -0.70115, 0.2529, 7.5, -0.5096,  0.    , -0.1278, 6.75, 1000, 750, 2.5, 3.2, -0.83216, -0.10884, 0.6571, 0.4252, 0.7827),            ( 3.8  , -0.98457, 0.0029, -0.2493 , -0.69696, 0.2529, 7.5, -0.5096,  0.    , -0.1744, 6.75, 1000, 750, 2.5, 3.2, -0.79216, -0.08884, 0.6438, 0.4243, 0.771 ),            ( 4.   , -0.93329, 0.0029, -0.25756, -0.7121 , 0.2529, 7.5, -0.5096,  0.    , -0.2231, 6.75, 1000, 750, 2.5, 3.2, -0.75645, -0.07749, 0.6241, 0.3659, 0.7235)],           dtype=[('period', '<f8'), ('a_1', '<f8'), ('a_2', '<f8'), ('a_3', '<f8'), ('a_4', '<f8'), ('a_5', '<f8'), ('a_6', '<f8'), ('a_7', '<f8'), ('a_8', '<f8'), ('a_9', '<f8'), ('c_1', '<f8'), ('v_con', '<i8'), ('v_ref', '<i8'), ('c', '<f8'), ('n', '<f8'), ('b_1', '<f8'), ('b_2', '<f8'), ('sd_within', '<f8'), ('sd_between', '<f8'), ('sd_total', '<f8')]), 'dist_hyp': rec.array([( 0.   ,  3.26685, 0.0029, -0.04846, -1.47905, 0.2529, 7.5, -0.5096, -0.1091,  0.0937, 6.75, 1000, 750, 2.5, 3.2, -0.41997, -0.28846, 0.6475, 0.3472, 0.7347),            (-1.   ,  6.72743, 0.0029, -0.11474, -1.17694, 0.2529, 7.5, -0.5096, -0.0616,  0.063 , 6.75, 1000, 750, 2.5, 3.2, -0.72057, -0.19688, 0.628 , 0.3312, 0.71  ),            ( 0.01 ,  3.28656, 0.0029, -0.04784, -1.48197, 0.2529, 7.5, -0.5096, -0.1115,  0.0953, 6.75, 1000, 750, 2.5, 3.2, -0.41729, -0.28685, 0.6492, 0.3481, 0.7366),            ( 0.02 ,  3.38936, 0.0029, -0.04796, -1.50214, 0.2529, 7.5, -0.5096, -0.104 ,  0.1029, 6.75, 1000, 750, 2.5, 3.2, -0.39998, -0.28241, 0.6543, 0.3508, 0.7424),            ( 0.03 ,  3.53155, 0.0029, -0.04537, -1.52781, 0.2529, 7.5, -0.5096, -0.0973,  0.1148, 6.75, 1000, 750, 2.5, 3.2, -0.34799, -0.26842, 0.6685, 0.3526, 0.7558),            ( 0.04 ,  3.68895, 0.0029, -0.03991, -1.55693, 0.2529, 7.5, -0.5096, -0.0884,  0.1073, 6.75, 1000, 750, 2.5, 3.2, -0.27572, -0.24759, 0.6816, 0.3513, 0.7668),            ( 0.05 ,  3.86581, 0.0029, -0.0349 , -1.58672, 0.2529, 7.5, -0.5096, -0.0853,  0.1052, 6.75, 1000, 750, 2.5, 3.2, -0.21231, -0.22385, 0.6899, 0.3659, 0.7809),            ( 0.075,  4.18224, 0.0029, -0.02826, -1.62527, 0.2529, 7.5, -0.5096, -0.0779,  0.0837, 6.75, 1000, 750, 2.5, 3.2, -0.14427, -0.17525, 0.6881, 0.3942, 0.793 ),            ( 0.1  ,  4.4375 , 0.0029, -0.03256, -1.65601, 0.2529, 7.5, -0.5096, -0.0749,  0.0761, 6.75, 1000, 750, 2.5, 3.2, -0.27064, -0.29293, 0.6936, 0.4122, 0.8068),            ( 0.11 ,  4.48828, 0.0029, -0.03407, -1.65903, 0.2529, 7.5, -0.5096, -0.0704,  0.0707, 6.75, 1000, 750, 2.5, 3.2, -0.31025, -0.31837, 0.6965, 0.4065, 0.8064),            ( 0.12 ,  4.51414, 0.0029, -0.03635, -1.6547 , 0.2529, 7.5, -0.5096, -0.0604,  0.0653, 6.75, 1000, 750, 2.5, 3.2, -0.34796, -0.3386 , 0.7022, 0.3964, 0.8064),            ( 0.13 ,  4.5329 , 0.0029, -0.03929, -1.64994, 0.2529, 7.5, -0.5096, -0.049 ,  0.0617, 6.75, 1000, 750, 2.5, 3.2, -0.39668, -0.36646, 0.7043, 0.3937, 0.8069),            ( 0.14 ,  4.53834, 0.0029, -0.042  , -1.64398, 0.2529, 7.5, -0.5096, -0.0377,  0.0581, 6.75, 1000, 750, 2.5, 3.2, -0.43996, -0.38417, 0.7071, 0.3853, 0.8053),            ( 0.15 ,  4.52949, 0.0029, -0.04509, -1.63467, 0.2529, 7.5, -0.5096, -0.0265,  0.0545, 6.75, 1000, 750, 2.5, 3.2, -0.48313, -0.39551, 0.7048, 0.3779, 0.7997),            ( 0.16 ,  4.47016, 0.0029, -0.04701, -1.61626, 0.2529, 7.5, -0.5096, -0.0194,  0.0509, 6.75, 1000, 750, 2.5, 3.2, -0.52431, -0.40869, 0.7032, 0.3851, 0.8017),            ( 0.17 ,  4.40011, 0.0029, -0.04932, -1.59485, 0.2529, 7.5, -0.5096, -0.0125,  0.0507, 6.75, 1000, 750, 2.5, 3.2, -0.5568 , -0.41528, 0.7011, 0.39  , 0.8023),            ( 0.18 ,  4.33238, 0.0029, -0.05181, -1.57545, 0.2529, 7.5, -0.5096, -0.0056,  0.0502, 6.75, 1000, 750, 2.5, 3.2, -0.58922, -0.42717, 0.6992, 0.3889, 0.8001),            ( 0.19 ,  4.26395, 0.0029, -0.05442, -1.55685, 0.2529, 7.5, -0.5096,  0.    ,  0.0497, 6.75, 1000, 750, 2.5, 3.2, -0.62635, -0.4413 , 0.6947, 0.3903, 0.7968),            ( 0.2  ,  4.1775 , 0.0029, -0.05565, -1.53574, 0.2529, 7.5, -0.5096,  0.    ,  0.0493, 6.75, 1000, 750, 2.5, 3.2, -0.65315, -0.44644, 0.6954, 0.3848, 0.7948),            ( 0.22 ,  4.03111, 0.0029, -0.05817, -1.50045, 0.2529, 7.5, -0.5096,  0.    ,  0.0488, 6.75, 1000, 750, 2.5, 3.2, -0.68711, -0.44872, 0.6925, 0.3891, 0.7943),            ( 0.24 ,  3.90131, 0.0029, -0.06152, -1.46889, 0.2529, 7.5, -0.5096,  0.    ,  0.0483, 6.75, 1000, 750, 2.5, 3.2, -0.72744, -0.46341, 0.6973, 0.3839, 0.796 ),            ( 0.26 ,  3.82611, 0.0029, -0.06706, -1.44738, 0.2529, 7.5, -0.5096,  0.    ,  0.0478, 6.75, 1000, 750, 2.5, 3.2, -0.77335, -0.48705, 0.6973, 0.3839, 0.796 ),            ( 0.28 ,  3.6978 , 0.0029, -0.0706 , -1.41925, 0.2529, 7.5, -0.5096,  0.    ,  0.0474, 6.75, 1000, 750, 2.5, 3.2, -0.80508, -0.47334, 0.6914, 0.3865, 0.7921),            ( 0.3  ,  3.57698, 0.0029, -0.0749 , -1.38832, 0.2529, 7.5, -0.5096,  0.    ,  0.0469, 6.75, 1000, 750, 2.5, 3.2, -0.82609, -0.4573 , 0.6934, 0.3896, 0.7954),            ( 0.32 ,  3.40759, 0.0029, -0.07756, -1.34898, 0.2529, 7.5, -0.5096,  0.    ,  0.0464, 6.75, 1000, 750, 2.5, 3.2, -0.8408 , -0.44267, 0.6992, 0.3908, 0.801 ),            ( 0.34 ,  3.2758 , 0.0029, -0.08183, -1.31609, 0.2529, 7.5, -0.5096,  0.    ,  0.0459, 6.75, 1000, 750, 2.5, 3.2, -0.86251, -0.43888, 0.699 , 0.3888, 0.7999),            ( 0.36 ,  3.19725, 0.0029, -0.08602, -1.29558, 0.2529, 7.5, -0.5096,  0.    ,  0.0459, 6.75, 1000, 750, 2.5, 3.2, -0.87479, -0.4382 , 0.7006, 0.3916, 0.8026),            ( 0.38 ,  3.11035, 0.0029, -0.08937, -1.27591, 0.2529, 7.5, -0.5096,  0.    ,  0.0429, 6.75, 1000, 750, 2.5, 3.2, -0.88522, -0.43678, 0.7036, 0.3913, 0.8051),            ( 0.4  ,  3.03752, 0.0029, -0.09243, -1.26045, 0.2529, 7.5, -0.5096,  0.    ,  0.04  , 6.75, 1000, 750, 2.5, 3.2, -0.89517, -0.43008, 0.7037, 0.3894, 0.8043),            ( 0.42 ,  2.97485, 0.0029, -0.09556, -1.24891, 0.2529, 7.5, -0.5096,  0.    ,  0.0374, 6.75, 1000, 750, 2.5, 3.2, -0.90875, -0.4219 , 0.7023, 0.3847, 0.8008),            ( 0.44 ,  2.90617, 0.0029, -0.09822, -1.237  , 0.2529, 7.5, -0.5096,  0.    ,  0.0349, 6.75, 1000, 750, 2.5, 3.2, -0.91922, -0.40903, 0.6956, 0.3908, 0.7979),            ( 0.46 ,  2.85484, 0.0029, -0.10132, -1.22822, 0.2529, 7.5, -0.5096,  0.    ,  0.0323, 6.75, 1000, 750, 2.5, 3.2, -0.9267 , -0.39442, 0.6893, 0.3986, 0.7963),            ( 0.48 ,  2.8172 , 0.0029, -0.1056 , -1.21874, 0.2529, 7.5, -0.5096,  0.    ,  0.0297, 6.75, 1000, 750, 2.5, 3.2, -0.9372 , -0.38462, 0.6852, 0.4017, 0.7943),            ( 0.5  ,  2.77997, 0.0029, -0.10964, -1.20953, 0.2529, 7.5, -0.5096,  0.    ,  0.0271, 6.75, 1000, 750, 2.5, 3.2, -0.94614, -0.37408, 0.6821, 0.4017, 0.7916),            ( 0.55 ,  2.62299, 0.0029, -0.11701, -1.1801 , 0.2529, 7.5, -0.5096,  0.    ,  0.0245, 6.75, 1000, 750, 2.5, 3.2, -0.96564, -0.35582, 0.6866, 0.4044, 0.7968),            ( 0.6  ,  2.42234, 0.0029, -0.12106, -1.14424, 0.2529, 7.5, -0.5096,  0.    ,  0.0219, 6.75, 1000, 750, 2.5, 3.2, -0.98499, -0.34053, 0.6926, 0.4005, 0.8001),            ( 0.65 ,  2.2277 , 0.0029, -0.12555, -1.10853, 0.2529, 7.5, -0.5096,  0.    ,  0.0193, 6.75, 1000, 750, 2.5, 3.2, -0.99733, -0.30949, 0.6949, 0.3981, 0.8009),            ( 0.7  ,  2.08102, 0.0029, -0.13074, -1.08192, 0.2529, 7.5, -0.5096,  0.    ,  0.0167, 6.75, 1000, 750, 2.5, 3.2, -1.00469, -0.28772, 0.6993, 0.3967, 0.804 ),            ( 0.75 ,  1.91625, 0.0029, -0.13547, -1.05027, 0.2529, 7.5, -0.5096,  0.    ,  0.0141, 6.75, 1000, 750, 2.5, 3.2, -1.00786, -0.28957, 0.7028, 0.389 , 0.8033),            ( 0.8  ,  1.81167, 0.0029, -0.13856, -1.03514, 0.2529, 7.5, -0.5096,  0.    ,  0.0115, 6.75, 1000, 750, 2.5, 3.2, -1.00606, -0.28555, 0.6981, 0.3824, 0.796 ),            ( 0.85 ,  1.71853, 0.0029, -0.14294, -1.0201 , 0.2529, 7.5, -0.5096,  0.    ,  0.0089, 6.75, 1000, 750, 2.5, 3.2, -1.01093, -0.28364, 0.6959, 0.3831, 0.7944),            ( 0.9  ,  1.60822, 0.0029, -0.14669, -1.00315, 0.2529, 7.5, -0.5096,  0.    ,  0.0062, 6.75, 1000, 750, 2.5, 3.2, -1.01576, -0.28037, 0.6983, 0.3825, 0.7962),            ( 0.95 ,  1.51532, 0.0029, -0.15056, -0.98859, 0.2529, 7.5, -0.5096,  0.    ,  0.0016, 6.75, 1000, 750, 2.5, 3.2, -1.01353, -0.2839 , 0.7006, 0.3797, 0.7969),            ( 1.   ,  1.43982, 0.0029, -0.15427, -0.97812, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.01331, -0.28702, 0.7022, 0.3826, 0.7997),            ( 1.1  ,  1.26728, 0.0029, -0.16107, -0.95163, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.0124 , -0.27669, 0.7137, 0.3721, 0.8049),            ( 1.2  ,  1.11475, 0.0029, -0.1663 , -0.93048, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.00489, -0.27538, 0.7224, 0.3723, 0.8127),            ( 1.3  ,  0.95965, 0.0029, -0.1717 , -0.90604, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.98876, -0.25008, 0.7226, 0.3746, 0.8139),            ( 1.4  ,  0.85203, 0.0029, -0.17699, -0.89379, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.9776 , -0.23508, 0.7349, 0.3697, 0.8227),            ( 1.5  ,  0.83007, 0.0029, -0.18248, -0.90319, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.98071, -0.24695, 0.7378, 0.3758, 0.828 ),            ( 1.6  ,  0.74487, 0.0029, -0.18787, -0.89323, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.96369, -0.2287 , 0.7406, 0.3794, 0.8321),            ( 1.7  ,  0.63568, 0.0029, -0.18961, -0.88392, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.94634, -0.21655, 0.7418, 0.3686, 0.8283),            ( 1.8  ,  0.56996, 0.0029, -0.19551, -0.87459, 0.2529, 7.5, -0.5096,  0.    , -0.003 , 6.75, 1000, 750, 2.5, 3.2, -0.93606, -0.20302, 0.7431, 0.3692, 0.8298),            ( 1.9  ,  0.485  , 0.0029, -0.19853, -0.86659, 0.2529, 7.5, -0.5096,  0.    , -0.006 , 6.75, 1000, 750, 2.5, 3.2, -0.91408, -0.18228, 0.7457, 0.3705, 0.8327),            ( 2.   ,  0.40614, 0.0029, -0.20136, -0.86343, 0.2529, 7.5, -0.5096,  0.    , -0.009 , 6.75, 1000, 750, 2.5, 3.2, -0.91007, -0.17336, 0.7446, 0.3676, 0.8304),            ( 2.2  ,  0.28608, 0.0029, -0.20791, -0.86086, 0.2529, 7.5, -0.5096,  0.    , -0.0141, 6.75, 1000, 750, 2.5, 3.2, -0.89376, -0.15463, 0.7391, 0.3718, 0.8273),            ( 2.4  ,  0.15432, 0.0029, -0.2148 , -0.84778, 0.2529, 7.5, -0.5096,  0.    , -0.0284, 6.75, 1000, 750, 2.5, 3.2, -0.87052, -0.13181, 0.7311, 0.3941, 0.8306),            ( 2.6  ,  0.0225 , 0.0029, -0.21843, -0.83937, 0.2529, 7.5, -0.5096,  0.    , -0.0408, 6.75, 1000, 750, 2.5, 3.2, -0.85889, -0.14066, 0.7281, 0.3967, 0.8292),            ( 2.8  , -0.07822, 0.0029, -0.22224, -0.83964, 0.2529, 7.5, -0.5096,  0.    , -0.0534, 6.75, 1000, 750, 2.5, 3.2, -0.86106, -0.13882, 0.7279, 0.3987, 0.8299),            ( 3.   , -0.22534, 0.0029, -0.22564, -0.83314, 0.2529, 7.5, -0.5096,  0.    , -0.0683, 6.75, 1000, 750, 2.5, 3.2, -0.85793, -0.13336, 0.7154, 0.4019, 0.8206),            ( 3.2  , -0.36165, 0.0029, -0.22496, -0.81702, 0.2529, 7.5, -0.5096,  0.    , -0.078 , 6.75, 1000, 750, 2.5, 3.2, -0.82094, -0.1377 , 0.6984, 0.4113, 0.8105),            ( 3.4  , -0.39423, 0.0029, -0.23237, -0.82109, 0.2529, 7.5, -0.5096,  0.    , -0.0943, 6.75, 1000, 750, 2.5, 3.2, -0.84449, -0.15337, 0.6867, 0.38  , 0.7848),            ( 3.6  , -0.54126, 0.0029, -0.24003, -0.79431, 0.2529, 7.5, -0.5096,  0.    , -0.1278, 6.75, 1000, 750, 2.5, 3.2, -0.83216, -0.10884, 0.6687, 0.4009, 0.7797),            ( 3.8  , -0.59607, 0.0029, -0.24448, -0.78785, 0.2529, 7.5, -0.5096,  0.    , -0.1744, 6.75, 1000, 750, 2.5, 3.2, -0.79216, -0.08884, 0.6565, 0.3952, 0.7663),            ( 4.   , -0.51893, 0.0029, -0.25256, -0.80922, 0.2529, 7.5, -0.5096,  0.    , -0.2231, 6.75, 1000, 750, 2.5, 3.2, -0.75645, -0.07749, 0.6364, 0.3318, 0.7177)],           dtype=[('period', '<f8'), ('a_1', '<f8'), ('a_2', '<f8'), ('a_3', '<f8'), ('a_4', '<f8'), ('a_5', '<f8'), ('a_6', '<f8'), ('a_7', '<f8'), ('a_8', '<f8'), ('a_9', '<f8'), ('c_1', '<f8'), ('v_con', '<i8'), ('v_ref', '<i8'), ('c', '<f8'), ('n', '<f8'), ('b_1', '<f8'), ('b_2', '<f8'), ('sd_within', '<f8'), ('sd_between', '<f8'), ('sd_total', '<f8')]), 'dist_jb': rec.array([( 0.   ,  1.85329, 0.0029, -0.02807, -1.23452, 0.2529, 7.5, -0.5096, -0.1091,  0.0937, 6.75, 1000, 750, 2.5, 3.2, -0.41997, -0.28846, 0.6201, 0.3501, 0.7121),            (-1.   ,  5.61201, 0.0029, -0.0998 , -0.98388, 0.2529, 7.5, -0.5096, -0.0616,  0.063 , 6.75, 1000, 750, 2.5, 3.2, -0.72057, -0.19688, 0.6014, 0.3311, 0.6865),            ( 0.01 ,  1.87032, 0.0029, -0.0274 , -1.23698, 0.2529, 7.5, -0.5096, -0.1115,  0.0953, 6.75, 1000, 750, 2.5, 3.2, -0.41729, -0.28685, 0.6215, 0.3526, 0.7146),            ( 0.02 ,  1.95279, 0.0029, -0.02715, -1.25363, 0.2529, 7.5, -0.5096, -0.104 ,  0.1029, 6.75, 1000, 750, 2.5, 3.2, -0.39998, -0.28241, 0.6266, 0.3555, 0.7204),            ( 0.03 ,  2.07006, 0.0029, -0.02403, -1.27525, 0.2529, 7.5, -0.5096, -0.0973,  0.1148, 6.75, 1000, 750, 2.5, 3.2, -0.34799, -0.26842, 0.641 , 0.3565, 0.7335),            ( 0.04 ,  2.20452, 0.0029, -0.01797, -1.30123, 0.2529, 7.5, -0.5096, -0.0884,  0.1073, 6.75, 1000, 750, 2.5, 3.2, -0.27572, -0.24759, 0.6534, 0.3484, 0.7405),            ( 0.05 ,  2.35413, 0.0029, -0.01248, -1.32632, 0.2529, 7.5, -0.5096, -0.0853,  0.1052, 6.75, 1000, 750, 2.5, 3.2, -0.21231, -0.22385, 0.6622, 0.3551, 0.7514),            ( 0.075,  2.63078, 0.0029, -0.00532, -1.35722, 0.2529, 7.5, -0.5096, -0.0779,  0.0837, 6.75, 1000, 750, 2.5, 3.2, -0.14427, -0.17525, 0.6626, 0.3759, 0.7618),            ( 0.1  ,  2.85412, 0.0029, -0.00925, -1.38182, 0.2529, 7.5, -0.5096, -0.0749,  0.0761, 6.75, 1000, 750, 2.5, 3.2, -0.27064, -0.29293, 0.667 , 0.4067, 0.7812),            ( 0.11 ,  2.89772, 0.0029, -0.01062, -1.38345, 0.2529, 7.5, -0.5096, -0.0704,  0.0707, 6.75, 1000, 750, 2.5, 3.2, -0.31025, -0.31837, 0.6712, 0.4059, 0.7844),            ( 0.12 ,  2.92748, 0.0029, -0.01291, -1.37997, 0.2529, 7.5, -0.5096, -0.0604,  0.0653, 6.75, 1000, 750, 2.5, 3.2, -0.34796, -0.3386 , 0.6768, 0.4022, 0.7873),            ( 0.13 ,  2.95162, 0.0029, -0.01592, -1.37627, 0.2529, 7.5, -0.5096, -0.049 ,  0.0617, 6.75, 1000, 750, 2.5, 3.2, -0.39668, -0.36646, 0.6789, 0.4017, 0.7888),            ( 0.14 ,  2.96299, 0.0029, -0.01866, -1.37155, 0.2529, 7.5, -0.5096, -0.0377,  0.0581, 6.75, 1000, 750, 2.5, 3.2, -0.43996, -0.38417, 0.6822, 0.3945, 0.7881),            ( 0.15 ,  2.96622, 0.0029, -0.02193, -1.3646 , 0.2529, 7.5, -0.5096, -0.0265,  0.0545, 6.75, 1000, 750, 2.5, 3.2, -0.48313, -0.39551, 0.6796, 0.3893, 0.7832),            ( 0.16 ,  2.93166, 0.0029, -0.02429, -1.35074, 0.2529, 7.5, -0.5096, -0.0194,  0.0509, 6.75, 1000, 750, 2.5, 3.2, -0.52431, -0.40869, 0.6762, 0.3928, 0.782 ),            ( 0.17 ,  2.88988, 0.0029, -0.02712, -1.33454, 0.2529, 7.5, -0.5096, -0.0125,  0.0507, 6.75, 1000, 750, 2.5, 3.2, -0.5568 , -0.41528, 0.6723, 0.396 , 0.7803),            ( 0.18 ,  2.84627, 0.0029, -0.03003, -1.31959, 0.2529, 7.5, -0.5096, -0.0056,  0.0502, 6.75, 1000, 750, 2.5, 3.2, -0.58922, -0.42717, 0.6694, 0.396 , 0.7778),            ( 0.19 ,  2.79778, 0.0029, -0.033  , -1.3045 , 0.2529, 7.5, -0.5096,  0.    ,  0.0497, 6.75, 1000, 750, 2.5, 3.2, -0.62635, -0.4413 , 0.6647, 0.3932, 0.7723),            ( 0.2  ,  2.73872, 0.0029, -0.03462, -1.28877, 0.2529, 7.5, -0.5096,  0.    ,  0.0493, 6.75, 1000, 750, 2.5, 3.2, -0.65315, -0.44644, 0.6645, 0.3842, 0.7676),            ( 0.22 ,  2.63479, 0.0029, -0.03789, -1.26125, 0.2529, 7.5, -0.5096,  0.    ,  0.0488, 6.75, 1000, 750, 2.5, 3.2, -0.68711, -0.44872, 0.66  , 0.3887, 0.766 ),            ( 0.24 ,  2.53886, 0.0029, -0.04173, -1.236  , 0.2529, 7.5, -0.5096,  0.    ,  0.0483, 6.75, 1000, 750, 2.5, 3.2, -0.72744, -0.46341, 0.6651, 0.3792, 0.7656),            ( 0.26 ,  2.48747, 0.0029, -0.04768, -1.21882, 0.2529, 7.5, -0.5096,  0.    ,  0.0478, 6.75, 1000, 750, 2.5, 3.2, -0.77335, -0.48705, 0.665 , 0.3754, 0.7636),            ( 0.28 ,  2.38739, 0.0029, -0.05178, -1.19543, 0.2529, 7.5, -0.5096,  0.    ,  0.0474, 6.75, 1000, 750, 2.5, 3.2, -0.80508, -0.47334, 0.659 , 0.3757, 0.7586),            ( 0.3  ,  2.3015 , 0.0029, -0.05672, -1.17072, 0.2529, 7.5, -0.5096,  0.    ,  0.0469, 6.75, 1000, 750, 2.5, 3.2, -0.82609, -0.4573 , 0.6599, 0.3816, 0.7623),            ( 0.32 ,  2.17298, 0.0029, -0.06015, -1.13847, 0.2529, 7.5, -0.5096,  0.    ,  0.0464, 6.75, 1000, 750, 2.5, 3.2, -0.8408 , -0.44267, 0.6654, 0.3866, 0.7696),            ( 0.34 ,  2.07474, 0.0029, -0.06508, -1.11131, 0.2529, 7.5, -0.5096,  0.    ,  0.0459, 6.75, 1000, 750, 2.5, 3.2, -0.86251, -0.43888, 0.6651, 0.3881, 0.7701),            ( 0.36 ,  2.01953, 0.0029, -0.06974, -1.09484, 0.2529, 7.5, -0.5096,  0.    ,  0.0459, 6.75, 1000, 750, 2.5, 3.2, -0.87479, -0.4382 , 0.6662, 0.3924, 0.7732),            ( 0.38 ,  1.95078, 0.0029, -0.07346, -1.07812, 0.2529, 7.5, -0.5096,  0.    ,  0.0429, 6.75, 1000, 750, 2.5, 3.2, -0.88522, -0.43678, 0.6698, 0.3945, 0.7773),            ( 0.4  ,  1.89372, 0.0029, -0.07684, -1.0653 , 0.2529, 7.5, -0.5096,  0.    ,  0.04  , 6.75, 1000, 750, 2.5, 3.2, -0.89517, -0.43008, 0.6697, 0.3962, 0.7781),            ( 0.42 ,  1.83717, 0.0029, -0.0801 , -1.05451, 0.2529, 7.5, -0.5096,  0.    ,  0.0374, 6.75, 1000, 750, 2.5, 3.2, -0.90875, -0.4219 , 0.6696, 0.389 , 0.7744),            ( 0.44 ,  1.77528, 0.0029, -0.08296, -1.04332, 0.2529, 7.5, -0.5096,  0.    ,  0.0349, 6.75, 1000, 750, 2.5, 3.2, -0.91922, -0.40903, 0.6641, 0.3929, 0.7716),            ( 0.46 ,  1.73155, 0.0029, -0.08623, -1.03572, 0.2529, 7.5, -0.5096,  0.    ,  0.0323, 6.75, 1000, 750, 2.5, 3.2, -0.9267 , -0.39442, 0.6575, 0.4009, 0.7701),            ( 0.48 ,  1.70132, 0.0029, -0.0907 , -1.02724, 0.2529, 7.5, -0.5096,  0.    ,  0.0297, 6.75, 1000, 750, 2.5, 3.2, -0.9372 , -0.38462, 0.654 , 0.4022, 0.7678),            ( 0.5  ,  1.67127, 0.0029, -0.0949 , -1.01909, 0.2529, 7.5, -0.5096,  0.    ,  0.0271, 6.75, 1000, 750, 2.5, 3.2, -0.94614, -0.37408, 0.6512, 0.4021, 0.7653),            ( 0.55 ,  1.53838, 0.0029, -0.10275, -0.99351, 0.2529, 7.5, -0.5096,  0.    ,  0.0245, 6.75, 1000, 750, 2.5, 3.2, -0.96564, -0.35582, 0.657 , 0.4057, 0.7722),            ( 0.6  ,  1.37505, 0.0029, -0.10747, -0.96429, 0.2529, 7.5, -0.5096,  0.    ,  0.0219, 6.75, 1000, 750, 2.5, 3.2, -0.98499, -0.34053, 0.663 , 0.406 , 0.7774),            ( 0.65 ,  1.21156, 0.0029, -0.11262, -0.93347, 0.2529, 7.5, -0.5096,  0.    ,  0.0193, 6.75, 1000, 750, 2.5, 3.2, -0.99733, -0.30949, 0.6652, 0.4124, 0.7827),            ( 0.7  ,  1.09262, 0.0029, -0.11835, -0.91162, 0.2529, 7.5, -0.5096,  0.    ,  0.0167, 6.75, 1000, 750, 2.5, 3.2, -1.00469, -0.28772, 0.6696, 0.4135, 0.787 ),            ( 0.75 ,  0.95211, 0.0029, -0.12347, -0.88393, 0.2529, 7.5, -0.5096,  0.    ,  0.0141, 6.75, 1000, 750, 2.5, 3.2, -1.00786, -0.28957, 0.6744, 0.4043, 0.7863),            ( 0.8  ,  0.85227, 0.0029, -0.12678, -0.86884, 0.2529, 7.5, -0.5096,  0.    ,  0.0115, 6.75, 1000, 750, 2.5, 3.2, -1.00606, -0.28555, 0.6716, 0.3974, 0.7804),            ( 0.85 ,  0.76564, 0.0029, -0.13133, -0.85442, 0.2529, 7.5, -0.5096,  0.    ,  0.0089, 6.75, 1000, 750, 2.5, 3.2, -1.01093, -0.28364, 0.6713, 0.3971, 0.78  ),            ( 0.9  ,  0.66856, 0.0029, -0.13551, -0.83929, 0.2529, 7.5, -0.5096,  0.    ,  0.0062, 6.75, 1000, 750, 2.5, 3.2, -1.01576, -0.28037, 0.6738, 0.3986, 0.7829),            ( 0.95 ,  0.58739, 0.0029, -0.13957, -0.82668, 0.2529, 7.5, -0.5096,  0.    ,  0.0016, 6.75, 1000, 750, 2.5, 3.2, -1.01353, -0.2839 , 0.6767, 0.3949, 0.7835),            ( 1.   ,  0.52349, 0.0029, -0.14345, -0.81838, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.01331, -0.28702, 0.6787, 0.3943, 0.7849),            ( 1.1  ,  0.3768 , 0.0029, -0.15051, -0.79691, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.0124 , -0.27669, 0.6912, 0.3806, 0.7891),            ( 1.2  ,  0.23251, 0.0029, -0.15527, -0.77813, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.00489, -0.27538, 0.7015, 0.3802, 0.7979),            ( 1.3  ,  0.10481, 0.0029, -0.16106, -0.75888, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.98876, -0.25008, 0.7017, 0.3803, 0.7981),            ( 1.4  ,  0.00887, 0.0029, -0.16654, -0.74871, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.9776 , -0.23508, 0.7141, 0.3766, 0.8073),            ( 1.5  , -0.01867, 0.0029, -0.17187, -0.75751, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.98071, -0.24695, 0.7164, 0.3799, 0.8109),            ( 1.6  , -0.0996 , 0.0029, -0.17728, -0.74823, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.96369, -0.2287 , 0.7198, 0.3817, 0.8147),            ( 1.7  , -0.21166, 0.0029, -0.17908, -0.73766, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.94634, -0.21655, 0.7226, 0.3724, 0.8129),            ( 1.8  , -0.273  , 0.0029, -0.18438, -0.72996, 0.2529, 7.5, -0.5096,  0.    , -0.003 , 6.75, 1000, 750, 2.5, 3.2, -0.93606, -0.20302, 0.7241, 0.371 , 0.8136),            ( 1.9  , -0.35366, 0.0029, -0.18741, -0.72279, 0.2529, 7.5, -0.5096,  0.    , -0.006 , 6.75, 1000, 750, 2.5, 3.2, -0.91408, -0.18228, 0.7266, 0.3745, 0.8174),            ( 2.   , -0.42891, 0.0029, -0.19029, -0.72033, 0.2529, 7.5, -0.5096,  0.    , -0.009 , 6.75, 1000, 750, 2.5, 3.2, -0.91007, -0.17336, 0.7254, 0.3717, 0.8151),            ( 2.2  , -0.55307, 0.0029, -0.19683, -0.71662, 0.2529, 7.5, -0.5096,  0.    , -0.0141, 6.75, 1000, 750, 2.5, 3.2, -0.89376, -0.15463, 0.7207, 0.3758, 0.8128),            ( 2.4  , -0.67806, 0.0029, -0.20339, -0.70452, 0.2529, 7.5, -0.5096,  0.    , -0.0284, 6.75, 1000, 750, 2.5, 3.2, -0.87052, -0.13181, 0.7144, 0.3973, 0.8174),            ( 2.6  , -0.80494, 0.0029, -0.20703, -0.69691, 0.2529, 7.5, -0.5096,  0.    , -0.0408, 6.75, 1000, 750, 2.5, 3.2, -0.85889, -0.14066, 0.7122, 0.4001, 0.8169),            ( 2.8  , -0.91278, 0.0029, -0.21074, -0.6956 , 0.2529, 7.5, -0.5096,  0.    , -0.0534, 6.75, 1000, 750, 2.5, 3.2, -0.86106, -0.13882, 0.7129, 0.4025, 0.8187),            ( 3.   , -1.05642, 0.0029, -0.21392, -0.69085, 0.2529, 7.5, -0.5096,  0.    , -0.0683, 6.75, 1000, 750, 2.5, 3.2, -0.85793, -0.13336, 0.6997, 0.4046, 0.8083),            ( 3.2  , -1.17715, 0.0029, -0.21361, -0.67711, 0.2529, 7.5, -0.5096,  0.    , -0.078 , 6.75, 1000, 750, 2.5, 3.2, -0.82094, -0.1377 , 0.682 , 0.4194, 0.8006),            ( 3.4  , -1.22091, 0.0029, -0.21951, -0.68177, 0.2529, 7.5, -0.5096,  0.    , -0.0943, 6.75, 1000, 750, 2.5, 3.2, -0.84449, -0.15337, 0.6682, 0.3971, 0.7773),            ( 3.6  , -1.34547, 0.0029, -0.22724, -0.65918, 0.2529, 7.5, -0.5096,  0.    , -0.1278, 6.75, 1000, 750, 2.5, 3.2, -0.83216, -0.10884, 0.6508, 0.4211, 0.7752),            ( 3.8  , -1.3979 , 0.0029, -0.2318 , -0.65298, 0.2529, 7.5, -0.5096,  0.    , -0.1744, 6.75, 1000, 750, 2.5, 3.2, -0.79216, -0.08884, 0.6389, 0.415 , 0.7619),            ( 4.   , -1.37536, 0.0029, -0.23848, -0.66482, 0.2529, 7.5, -0.5096,  0.    , -0.2231, 6.75, 1000, 750, 2.5, 3.2, -0.75645, -0.07749, 0.6196, 0.3566, 0.7149)],           dtype=[('period', '<f8'), ('a_1', '<f8'), ('a_2', '<f8'), ('a_3', '<f8'), ('a_4', '<f8'), ('a_5', '<f8'), ('a_6', '<f8'), ('a_7', '<f8'), ('a_8', '<f8'), ('a_9', '<f8'), ('c_1', '<f8'), ('v_con', '<i8'), ('v_ref', '<i8'), ('c', '<f8'), ('n', '<f8'), ('b_1', '<f8'), ('b_2', '<f8'), ('sd_within', '<f8'), ('sd_between', '<f8'), ('sd_total', '<f8')])}

PERIODS = array([ 0.   , -1.   ,  0.01 ,  0.02 ,  0.03 ,  0.04 ,  0.05 ,  0.075,         0.1  ,  0.11 ,  0.12 ,  0.13 ,  0.14 ,  0.15 ,  0.16 ,  0.17 ,         0.18 ,  0.19 ,  0.2  ,  0.22 ,  0.24 ,  0.26 ,  0.28 ,  0.3  ,         0.32 ,  0.34 ,  0.36 ,  0.38 ,  0.4  ,  0.42 ,  0.44 ,  0.46 ,         0.48 ,  0.5  ,  0.55 ,  0.6  ,  0.65 ,  0.7  ,  0.75 ,  0.8  ,         0.85 ,  0.9  ,  0.95 ,  1.   ,  1.1  ,  1.2  ,  1.3  ,  1.4  ,         1.5  ,  1.6  ,  1.7  ,  1.8  ,  1.9  ,  2.   ,  2.2  ,  2.4  ,         2.6  ,  2.8  ,  3.   ,  3.2  ,  3.4  ,  3.6  ,  3.8  ,  4.   ])

Indices of the periods

INDICES_PSA = array([ 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])

Indices for the spectral accelerations

INDEX_PGA = 0

Index of the peak ground acceleration

INDEX_PGV = 1

Index of the peak ground velocity

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

pygmm.atkinson_boore_2006 module

Atkinson and Boore (2006, []) model.

class pygmm.atkinson_boore_2006.AtkinsonBoore2006(scenario: Scenario)

Bases: GroundMotionModel

Atkinson and Boore (2006, []) model.

Developed for the Eastern North America with a reference velocity of 760 or 2000 m/s.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Atkinson and Boore (2006)'

Long name of the model

ABBREV = 'AB06'

Short name of the model

COEFF = {'bc': rec.array([(-2.   , -3.09  , 0.828 , -0.008541, -2.381, 0.1782, -1.643 , 0.1628 ,  0.581  , -0.145  , -0.0002337),            (-1.   , -1.662 , 1.05  , -0.06035 , -2.496, 0.184 , -2.301 , 0.25   ,  0.1268 , -0.08704, -0.0004266),            ( 0.   ,  0.5233, 0.9686, -0.06196 , -2.439, 0.1465, -2.335 , 0.1912 , -0.08695, -0.08285, -0.0006304),            ( 0.025,  1.052 , 0.903 , -0.05768 , -2.571, 0.1483, -2.652 , 0.2065 , -0.4084 , -0.05769, -0.0005122),            ( 0.031,  1.191 , 0.8884, -0.05642 , -2.577, 0.1451, -2.84  , 0.2121 , -0.437  , -0.05866, -0.0004329),            ( 0.04 ,  1.261 , 0.8789, -0.05515 , -2.536, 0.1388, -2.994 , 0.2158 , -0.3908 , -0.06746, -0.0003881),            ( 0.05 ,  1.209 , 0.883 , -0.05441 , -2.44 , 0.1295, -3.035 , 0.2133 , -0.2098 , -0.08997, -0.0004145),            ( 0.063,  1.109 , 0.8875, -0.05386 , -2.334, 0.1229, -2.881 , 0.2007 , -0.03189, -0.1069 , -0.0005483),            ( 0.079,  0.9667, 0.9033, -0.05476 , -2.249, 0.1215, -2.53  , 0.1775 ,  0.1001 , -0.1147 , -0.0007724),            ( 0.1  ,  0.7818, 0.9235, -0.05555 , -2.165, 0.1191, -2.097 , 0.1483 ,  0.2847 , -0.1319 , -0.0009897),            ( 0.125,  0.5356, 0.9647, -0.05835 , -2.11 , 0.1205, -1.672 , 0.1156 ,  0.3433 , -0.1322 , -0.00113  ),            ( 0.158,  0.1194, 1.057 , -0.06473 , -2.054, 0.119 , -1.355 , 0.0916 ,  0.5164 , -0.1503 , -0.001178 ),            ( 0.199, -0.3056, 1.156 , -0.07211 , -2.038, 0.122 , -1.147 , 0.07375,  0.5082 , -0.143  , -0.00114  ),            ( 0.251, -0.8756, 1.293 , -0.08193 , -2.014, 0.1226, -1.027 , 0.06341,  0.5808 , -0.1491 , -0.001053 ),            ( 0.315, -1.56  , 1.455 , -0.09312 , -1.977, 0.1209, -0.9466, 0.05576,  0.6499 , -0.1558 , -0.0009552),            ( 0.397, -2.281 , 1.629 , -0.1054  , -1.967, 0.1227, -0.888 , 0.05033,  0.6839 , -0.1582 , -0.0008587),            ( 0.5  , -3.007 , 1.803 , -0.1178  , -1.982, 0.1274, -0.8466, 0.04698,  0.667  , -0.1546 , -0.0007676),            ( 0.629, -3.748 , 1.973 , -0.1294  , -1.997, 0.1313, -0.8417, 0.0482 ,  0.6772 , -0.1557 , -0.0006763),            ( 0.794, -4.446 , 2.119 , -0.1387  , -2.009, 0.1356, -0.8576, 0.04976,  0.7084 , -0.1589 , -0.0005751),            ( 1.   , -5.058 , 2.233 , -0.1454  , -2.03 , 0.1408, -0.8744, 0.05412,  0.7922 , -0.1697 , -0.0004886),            ( 1.25 , -5.489 , 2.289 , -0.1476  , -2.081, 0.1501, -0.9   , 0.05794,  0.8208 , -0.1719 , -0.000407 ),            ( 1.587, -5.754 , 2.287 , -0.145   , -2.131, 0.1582, -0.9568, 0.06762,  0.867  , -0.1789 , -0.0003429),            ( 2.   , -5.853 , 2.233 , -0.1385  , -2.195, 0.1688, -1.037 , 0.08002,  0.8666 , -0.179  , -0.000286 ),            ( 2.5  , -5.8   , 2.126 , -0.1278  , -2.257, 0.179 , -1.123 , 0.09539,  0.8911 , -0.1797 , -0.0002601),            ( 3.125, -5.59  , 1.972 , -0.1136  , -2.331, 0.1908, -1.204 , 0.1099 ,  0.8449 , -0.1723 , -0.0002452),            ( 4.   , -5.256 , 1.787 , -0.09785 , -2.435, 0.2068, -1.307 , 0.121  ,  0.734  , -0.156  , -0.0001959),            ( 5.   , -4.852 , 1.58  , -0.08066 , -2.53 , 0.2216, -1.426 , 0.1361 ,  0.634  , -0.1413 , -0.0001608)],           dtype=[('period', '<f8'), ('c_1', '<f8'), ('c_2', '<f8'), ('c_3', '<f8'), ('c_4', '<f8'), ('c_5', '<f8'), ('c_6', '<f8'), ('c_7', '<f8'), ('c_8', '<f8'), ('c_9', '<f8'), ('c_10', '<f8')]), 'rock': rec.array([(-2.   , -2.82  , 0.7491, -0.004196, -2.611, 0.2157, -1.671 , 0.1643 ,  0.7452 , -0.1547 , -1.917e-04),            (-1.   , -1.442 , 0.9909, -0.05848 , -2.701, 0.2155, -2.436 , 0.2659 ,  0.08479, -0.06927, -3.734e-04),            ( 0.   ,  0.9069, 0.983 , -0.06595 , -2.698, 0.1594, -2.795 , 0.212  , -0.3011 , -0.06532, -4.484e-04),            ( 0.025,  1.522 , 0.9597, -0.06351 , -2.813, 0.1458, -3.654 , 0.2362 , -0.6544 , -0.055  , -4.848e-05),            ( 0.031,  1.436 , 0.9592, -0.06276 , -2.714, 0.14  , -3.728 , 0.2343 , -0.543  , -0.06448, -3.230e-05),            ( 0.04 ,  1.264 , 0.968 , -0.06232 , -2.581, 0.1317, -3.644 , 0.2276 , -0.3506 , -0.08126, -1.225e-04),            ( 0.05 ,  1.105 , 0.9719, -0.06197 , -2.466, 0.1276, -3.39  , 0.2144 , -0.1391 , -0.09839, -3.167e-04),            ( 0.063,  0.9109, 0.9802, -0.06208 , -2.36 , 0.1263, -2.972 , 0.191  ,  0.1069 , -0.1173 , -5.786e-04),            ( 0.079,  0.6906, 0.9974, -0.06276 , -2.262, 0.1246, -2.487 , 0.1636 ,  0.2139 , -0.1207 , -8.469e-04),            ( 0.1  ,  0.4797, 1.017 , -0.06404 , -2.201, 0.127 , -2.007 , 0.1326 ,  0.3371 , -0.1266 , -1.047e-03),            ( 0.125,  0.2144, 1.054 , -0.06664 , -2.154, 0.1295, -1.608 , 0.1046 ,  0.4273 , -0.1303 , -1.153e-03),            ( 0.158, -0.1455, 1.123 , -0.07143 , -2.116, 0.1302, -1.303 , 0.08311,  0.5617 , -0.1438 , -1.182e-03),            ( 0.199, -0.6153, 1.227 , -0.07886 , -2.087, 0.1312, -1.12  , 0.06788,  0.6055 , -0.1459 , -1.125e-03),            ( 0.251, -1.121 , 1.342 , -0.08722 , -2.082, 0.1349, -0.9714, 0.05628,  0.614  , -0.1432 , -1.055e-03),            ( 0.315, -1.721 , 1.483 , -0.09739 , -2.08 , 0.1382, -0.8893, 0.04869,  0.6101 , -0.1389 , -9.538e-04),            ( 0.397, -2.437 , 1.649 , -0.1084  , -2.051, 0.1363, -0.8426, 0.04483,  0.7386 , -0.1557 , -8.509e-04),            ( 0.5  , -3.216 , 1.826 , -0.1201  , -2.018, 0.1344, -0.8134, 0.04437,  0.8839 , -0.1751 , -7.704e-04),            ( 0.629, -3.917 , 1.987 , -0.1314  , -2.045, 0.1419, -0.7818, 0.04297,  0.7878 , -0.159  , -6.948e-04),            ( 0.794, -4.604 , 2.132 , -0.1406  , -2.062, 0.1468, -0.7974, 0.04345,  0.7748 , -0.1558 , -5.790e-04),            ( 1.   , -5.272 , 2.264 , -0.1483  , -2.069, 0.1497, -0.8132, 0.04666,  0.8262 , -0.1622 , -4.862e-04),            ( 1.25 , -5.724 , 2.324 , -0.1505  , -2.104, 0.1565, -0.8202, 0.05186,  0.8563 , -0.1661 , -4.329e-04),            ( 1.587, -6.043 , 2.342 , -0.1496  , -2.157, 0.1662, -0.8704, 0.06047,  0.9207 , -0.1734 , -3.748e-04),            ( 2.   , -6.183 , 2.302 , -0.1442  , -2.223, 0.177 , -0.937 , 0.07067,  0.9518 , -0.1768 , -3.220e-04),            ( 2.5  , -6.169 , 2.211 , -0.1348  , -2.299, 0.1898, -0.986 , 0.0786 ,  0.9683 , -0.1765 , -2.823e-04),            ( 3.125, -6.038 , 2.08  , -0.1221  , -2.367, 0.2002, -1.073 , 0.0895 ,  1.002  , -0.1803 , -2.306e-04),            ( 4.   , -5.791 , 1.916 , -0.1071  , -2.441, 0.2113, -1.162 , 0.1018 ,  1.012  , -0.1824 , -2.010e-04),            ( 5.   , -5.408 , 1.714 , -0.09012 , -2.537, 0.2267, -1.268 , 0.1162 ,  0.9792 , -0.1767 , -1.757e-04)],           dtype=[('period', '<f8'), ('c_1', '<f8'), ('c_2', '<f8'), ('c_3', '<f8'), ('c_4', '<f8'), ('c_5', '<f8'), ('c_6', '<f8'), ('c_7', '<f8'), ('c_8', '<f8'), ('c_9', '<f8'), ('c_10', '<f8')])}

PERIODS = array([-2.   , -1.   ,  0.   ,  0.025,  0.031,  0.04 ,  0.05 ,  0.063,         0.079,  0.1  ,  0.125,  0.158,  0.199,  0.251,  0.315,  0.397,         0.5  ,  0.629,  0.794,  1.   ,  1.25 ,  1.587,  2.   ,  2.5  ,         3.125,  4.   ,  5.   ])

Indices of the periods

COEFF_SITE = rec.array([(-1.    , -0.6  , -0.495, -0.06 ),            ( 0.    , -0.361, -0.641, -0.144),            ( 0.025 , -0.33 , -0.624, -0.115),            ( 0.0313, -0.322, -0.618, -0.108),            ( 0.04  , -0.314, -0.609, -0.105),            ( 0.05  , -0.286, -0.643, -0.105),            ( 0.0629, -0.249, -0.642, -0.105),            ( 0.0794, -0.232, -0.637, -0.117),            ( 0.1   , -0.25 , -0.595, -0.132),            ( 0.125 , -0.26 , -0.56 , -0.14 ),            ( 0.1587, -0.28 , -0.528, -0.185),            ( 0.2   , -0.306, -0.521, -0.185),            ( 0.25  , -0.39 , -0.518, -0.16 ),            ( 0.3125, -0.445, -0.513, -0.13 ),            ( 0.4   , -0.5  , -0.508, -0.095),            ( 0.5   , -0.6  , -0.495, -0.06 ),            ( 0.625 , -0.67 , -0.48 , -0.031),            ( 0.7692, -0.69 , -0.465, -0.002),            ( 1.    , -0.7  , -0.44 ,  0.   ),            ( 1.5873, -0.726, -0.395,  0.   ),            ( 2.    , -0.73 , -0.375,  0.   ),            ( 3.125 , -0.74 , -0.33 ,  0.   ),            ( 4.    , -0.745, -0.31 ,  0.   ),            ( 5.    , -0.752, -0.3  ,  0.   )],           dtype=[('period', '<f8'), ('b_lin', '<f8'), ('b_1', '<f8'), ('b_2', '<f8')])

COEFF_SF = rec.array([(-1.    , 0.11, 2.  , 5.5 ), ( 0.0101, 0.15, 0.5 , 5.5 ),            ( 0.025 , 0.15, 0.  , 5.  ), ( 0.0315, 0.15, 0.  , 5.  ),            ( 0.0396, 0.15, 0.  , 5.  ), ( 0.0499, 0.15, 0.  , 5.  ),            ( 0.0629, 0.15, 0.17, 5.17), ( 0.0791, 0.15, 0.34, 5.34),            ( 0.0996, 0.15, 0.5 , 5.5 ), ( 0.1255, 0.15, 1.15, 5.67),            ( 0.158 , 0.15, 1.85, 5.84), ( 0.1988, 0.15, 2.5 , 6.  ),            ( 0.2506, 0.15, 2.9 , 6.12), ( 0.3155, 0.15, 3.3 , 6.25),            ( 0.3968, 0.15, 3.65, 6.37), ( 0.5   , 0.15, 4.  , 6.5 ),            ( 0.6289, 0.15, 4.17, 6.7 ), ( 0.7937, 0.15, 4.34, 6.95),            ( 1.    , 0.15, 4.5 , 7.2 ), ( 1.25  , 0.15, 4.67, 7.45),            ( 1.5873, 0.15, 4.84, 7.7 ), ( 2.    , 0.15, 5.  , 8.  ),            ( 2.5   , 0.15, 5.25, 8.12), ( 3.125 , 0.15, 5.5 , 8.25),            ( 4.    , 0.15, 5.75, 8.37), ( 5.    , 0.15, 6.  , 8.5 )],           dtype=[('period', '<f8'), ('delta', '<f8'), ('m_1', '<f8'), ('m_h', '<f8')])

INDEX_PGD = 0

Index of the peak ground displacement

INDEX_PGV = 1

Index of the peak ground velocity

INDEX_PGA = 2

Index of the peak ground acceleration

INDICES_PSA = array([ 3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19,        20, 21, 22, 23, 24, 25, 26])

Indices for the spectral accelerations

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>]

Model parameters

pygmm.baker_jayaram_2008 module

Baker and Jayaram (2008, []) correlation model.

pygmm.baker_jayaram_2008.calc_correls(periods: Union[List[float], ndarray], period_cond: float) → ndarray

Baker and Jayaram (2008, []) correlation model.

Parameters

• periods (array_like) – Periods at which the correlation should be computed.

• period_cond (float) – Conditioning period

Returns

correls – Correlation coefficients

Return type

np.ndarray

pygmm.baker_jayaram_2008.calc_cond_mean_spectrum(periods: ~typing.Union[~typing.List[float], ~numpy.ndarray], ln_psas: ~typing.Union[~typing.List[float], ~numpy.ndarray], ln_stds: ~typing.Union[~typing.List[float], ~numpy.ndarray], period_cond: float, ln_psa_cond: float) -> (<class 'numpy.ndarray'>, <class 'numpy.ndarray'>)

Conditional mean spectrum by Baker & Jayaram (2008, []).

Parameters

• periods (array_like) – Response spectral periods.

• ln_psas (array_like) – Natural logarithm of the 5%-damped spectral accelerations.

• ln_stds (array_like) – Logarithmic standard deviations.

• period_cond (float) – Conditioning period. This period does not need to be included in periods.

• ln_psa_cond (float) – Natural logarithm of the response at the conditioning period.

Returns

• ln_psas_cms (np.ndarray) – Natural logarithm of the conditional mean spectral accelerations.

• ln_stds_cms (np.ndarray) – Logarithmic standard deviation of the conditional mean spectral acceleration.

pygmm.boore_stewart_seyhan_atkinson_2014 module

Boore, Stewart, Seyhan, and Atkinson (2014) ground motion model.

class pygmm.boore_stewart_seyhan_atkinson_2014.BooreStewartSeyhanAtkinson2014(scenario: Scenario)

Bases: GroundMotionModel

Boore, Stewart, Seyhan, and Atkinson (2014, []) model.

This model was developed for active tectonic regions as part of the NGA-West2 effort.

The BSSA14 model defines the following distance attenuation models:

Name	Description
global	Global; California and Taiwan
china_turkey	China and Turkey
italy_japan	Italy and Japan

and the following basin region models:

Name	Description
global	Global / California
japan	Japan

These are simplified into one regional parameter with the following possibilities:

Region	Attenuation	Basin
global	global	global
california	global	global
china	china_turkey	global
italy	italy_japan	global
japan	italy_japan	japan
new zealand	italy_japan	global
taiwan	global	global
turkey	china_turkey	global

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Boore, Stewart, Seyhan, and Atkinson (2014)'

Long name of the model

ABBREV = 'BSSA14'

Short name of the model

V_REF = 760.0

COEFF = rec.array([(-1.   ,  5.037  ,  5.078  ,  4.849   ,  5.033  , 1.073  , -0.1536  ,  0.2252   , 6.2 , -1.243 , 0.1489  , -3.440e-03, 4.5, 1, 5.3 , 0, 0.004345 , -3.3000e-04, -0.84   , 1300.  , 760, 0, 0.1, -1.0000e-01, -0.00844, -9.9000e+00, -9.9000e+00, 105.  , 272.  , 0.082, 0.08 , 225, 300, 0.644, 0.552, 0.401, 0.346),            ( 0.   ,  0.4473 ,  0.4856 ,  0.2459  ,  0.4539 , 1.431  ,  0.05053 , -0.1662   , 5.5 , -1.134 , 0.1917  , -8.088e-03, 4.5, 1, 4.5 , 0, 0.0028576, -2.5500e-03, -0.6    , 1500.  , 760, 0, 0.1, -1.5000e-01, -0.00701, -9.9000e+00, -9.9000e+00, 110.  , 270.  , 0.1  , 0.07 , 225, 300, 0.695, 0.495, 0.398, 0.348),            ( 0.01 ,  0.4534 ,  0.4916 ,  0.2519  ,  0.4599 , 1.421  ,  0.04932 , -0.1659   , 5.5 , -1.134 , 0.1916  , -8.088e-03, 4.5, 1, 4.5 , 0, 0.0028159, -2.4367e-03, -0.60372, 1500.2 , 760, 0, 0.1, -1.4833e-01, -0.00701, -9.9000e+00, -9.9000e+00, 111.67, 270.  , 0.096, 0.07 , 225, 300, 0.698, 0.499, 0.402, 0.345),            ( 0.02 ,  0.48598,  0.52359,  0.29707 ,  0.48875, 1.4331 ,  0.053388, -0.16561  , 5.5 , -1.1394, 0.18962 , -8.074e-03, 4.5, 1, 4.5 , 0, 0.0027795, -2.3400e-03, -0.57388, 1500.36, 760, 0, 0.1, -1.4710e-01, -0.00728, -9.9000e+00, -9.9000e+00, 113.1 , 270.  , 0.092, 0.03 , 225, 300, 0.702, 0.502, 0.409, 0.346),            ( 0.022,  0.49866,  0.53647,  0.31347 ,  0.49973, 1.4336 ,  0.054888, -0.1652   , 5.5 , -1.1405, 0.18924 , -8.095e-03, 4.5, 1, 4.5 , 0, 0.0027597, -2.2886e-03, -0.56675, 1500.68, 760, 0, 0.1, -1.4801e-01, -0.00732, -9.9000e+00, -9.9000e+00, 113.37, 270.  , 0.088, 0.027, 225, 300, 0.707, 0.505, 0.418, 0.349),            ( 0.025,  0.52283,  0.5613 ,  0.34426 ,  0.51999, 1.4328 ,  0.057529, -0.16499  , 5.5 , -1.1419, 0.18875 , -8.153e-03, 4.5, 1, 4.5 , 0, 0.0027542, -2.2500e-03, -0.5552 , 1501.04, 760, 0, 0.1, -1.5015e-01, -0.00736, -9.9000e+00, -9.9000e+00, 113.07, 270.  , 0.086, 0.026, 225, 300, 0.711, 0.508, 0.427, 0.354),            ( 0.029,  0.55949,  0.59923,  0.39146 ,  0.54995, 1.4279 ,  0.060732, -0.16632  , 5.5 , -1.1423, 0.18844 , -8.290e-03, 4.5, 1, 4.5 , 0, 0.0027616, -2.2145e-03, -0.5385 , 1501.26, 760, 0, 0.1, -1.5387e-01, -0.00737, -9.9000e+00, -9.9000e+00, 112.36, 270.  , 0.084, 0.028, 225, 300, 0.716, 0.51 , 0.436, 0.359),            ( 0.03 ,  0.56916,  0.6092 ,  0.40391 ,  0.55783, 1.4261 ,  0.061444, -0.1669   , 5.5 , -1.1421, 0.18842 , -8.336e-03, 4.5, 1, 4.49, 0, 0.0027646, -2.1676e-03, -0.53414, 1502.95, 760, 0, 0.1, -1.5485e-01, -0.00735, -9.9000e+00, -9.9000e+00, 112.13, 270.  , 0.081, 0.029, 225, 300, 0.721, 0.514, 0.445, 0.364),            ( 0.032,  0.58802,  0.62875,  0.42788 ,  0.5733 , 1.4227 ,  0.062806, -0.16813  , 5.5 , -1.1412, 0.1884  , -8.445e-03, 4.5, 1, 4.45, 0, 0.0027691, -2.1167e-03, -0.52529, 1503.12, 760, 0, 0.1, -1.5685e-01, -0.00731, -9.9000e+00, -9.9000e+00, 111.65, 270.  , 0.078, 0.03 , 225, 300, 0.726, 0.516, 0.454, 0.369),            ( 0.035,  0.61636,  0.65818,  0.46252 ,  0.59704, 1.4174 ,  0.064559, -0.17015  , 5.5 , -1.1388, 0.18839 , -8.642e-03, 4.5, 1, 4.4 , 0, 0.0027837, -2.0957e-03, -0.51192, 1503.24, 760, 0, 0.1, -1.6016e-01, -0.00721, -9.9000e+00, -9.9000e+00, 110.64, 270.  , 0.077, 0.031, 225, 300, 0.73 , 0.518, 0.462, 0.374),            ( 0.036,  0.62554,  0.66772,  0.47338 ,  0.60496, 1.4158 ,  0.065028, -0.17083  , 5.5 , -1.1378, 0.18837 , -8.715e-03, 4.5, 1, 4.38, 0, 0.002801 , -2.0748e-03, -0.50752, 1503.32, 760, 0, 0.1, -1.6142e-01, -0.00717, -9.9000e+00, -9.9000e+00, 109.53, 270.  , 0.075, 0.031, 225, 300, 0.734, 0.52 , 0.47 , 0.379),            ( 0.04 ,  0.66281,  0.70604,  0.51532 ,  0.63828, 1.409  ,  0.066183, -0.17357  , 5.5 , -1.1324, 0.18816 , -9.030e-03, 4.5, 1, 4.32, 0, 0.0028219, -2.0539e-03, -0.49065, 1503.35, 760, 0, 0.1, -1.6777e-01, -0.00698, -9.9000e+00, -9.9000e+00, 108.28, 270.  , 0.073, 0.032, 225, 300, 0.738, 0.521, 0.478, 0.384),            ( 0.042,  0.68087,  0.72443,  0.53445 ,  0.65505, 1.4059 ,  0.066438, -0.17485  , 5.5 , -1.1292, 0.18797 , -9.195e-03, 4.5, 1, 4.29, 0, 0.0028465, -2.0348e-03, -0.4829 , 1503.34, 760, 0, 0.1, -1.7193e-01, -0.00687, -9.9000e+00, -9.9000e+00, 106.99, 270.  , 0.072, 0.032, 225, 300, 0.742, 0.523, 0.484, 0.39 ),            ( 0.044,  0.69882,  0.74277,  0.55282 ,  0.67225, 1.4033 ,  0.066663, -0.17619  , 5.5 , -1.1259, 0.18775 , -9.360e-03, 4.5, 1, 4.27, 0, 0.0028738, -2.0157e-03, -0.47572, 1503.13, 760, 0, 0.1, -1.7664e-01, -0.00677, -9.9000e+00, -9.9000e+00, 105.41, 270.  , 0.07 , 0.031, 225, 300, 0.745, 0.525, 0.49 , 0.397),            ( 0.045,  0.70822,  0.75232,  0.56222 ,  0.68139, 1.4021 ,  0.066774, -0.17693  , 5.5 , -1.1242, 0.18764 , -9.441e-03, 4.5, 1, 4.25, 0, 0.0029002, -2.0011e-03, -0.47236, 1502.84, 760, 0, 0.1, -1.7914e-01, -0.00672, -9.9000e+00, -9.9000e+00, 103.61, 270.  , 0.069, 0.031, 225, 300, 0.748, 0.527, 0.496, 0.405),            ( 0.046,  0.71779,  0.76202,  0.57166 ,  0.69076, 1.4009 ,  0.066891, -0.17769  , 5.5 , -1.1224, 0.18752 , -9.521e-03, 4.5, 1, 4.24, 0, 0.0029229, -1.9929e-03, -0.46915, 1502.47, 760, 0, 0.1, -1.8170e-01, -0.00667, -9.9000e+00, -9.9000e+00, 101.7 , 270.  , 0.067, 0.031, 225, 300, 0.75 , 0.529, 0.499, 0.412),            ( 0.048,  0.73574,  0.78015,  0.58888 ,  0.70854, 1.3991 ,  0.067127, -0.1792   , 5.5 , -1.1192, 0.1873  , -9.676e-03, 4.5, 1, 4.22, 0, 0.0029439, -1.9884e-03, -0.46321, 1502.01, 760, 0, 0.1, -1.8688e-01, -0.00656, -9.9000e+00, -9.9000e+00,  99.76, 270.  , 0.065, 0.031, 225, 300, 0.752, 0.53 , 0.502, 0.419),            ( 0.05 ,  0.75436,  0.79905,  0.60652 ,  0.72726, 1.3974 ,  0.067357, -0.18082  , 5.5 , -1.1159, 0.18709 , -9.819e-03, 4.5, 1, 4.2 , 0, 0.0029566, -1.9911e-03, -0.45795, 1501.42, 760, 0, 0.1, -1.9200e-01, -0.00647, -9.9000e+00, -9.9000e+00,  97.93, 270.  , 0.063, 0.03 , 225, 300, 0.753, 0.532, 0.503, 0.426),            ( 0.055,  0.7996 ,  0.8445 ,  0.6477  ,  0.7737 , 1.3947 ,  0.067797, -0.1848   , 5.5 , -1.1082, 0.18655 , -1.012e-02, 4.5, 1, 4.15, 0, 0.0029639, -2.0011e-03, -0.44787, 1500.71, 760, 0, 0.1, -2.0369e-01, -0.00625, -9.9000e+00, -9.9000e+00,  96.03, 270.  , 0.062, 0.029, 225, 300, 0.753, 0.534, 0.502, 0.434),            ( 0.06 ,  0.84394,  0.88884,  0.68562 ,  0.82067, 1.3954 ,  0.068591, -0.18858  , 5.5 , -1.1009, 0.18582 , -1.033e-02, 4.5, 1, 4.11, 0, 0.0029675, -2.0193e-03, -0.44186, 1499.83, 760, 0, 0.1, -2.1374e-01, -0.00607, -9.9000e+00, -9.9000e+00,  94.1 , 270.01, 0.061, 0.027, 225, 300, 0.753, 0.536, 0.499, 0.441),            ( 0.065,  0.88655,  0.93116,  0.71941 ,  0.86724, 1.4004 ,  0.070127, -0.19176  , 5.5 , -1.0942, 0.18485 , -1.048e-02, 4.5, 1, 4.08, 0, 0.0029684, -2.0448e-03, -0.43951, 1498.74, 760, 0, 0.1, -2.2225e-01, -0.00593, -9.9000e+00, -9.9000e+00,  92.08, 270.02, 0.061, 0.025, 225, 300, 0.752, 0.538, 0.495, 0.448),            ( 0.067,  0.9027 ,  0.94711,  0.73171 ,  0.88526, 1.4032 ,  0.070895, -0.19291  , 5.5 , -1.0918, 0.18442 , -1.052e-02, 4.5, 1, 4.07, 0, 0.0029675, -2.0766e-03, -0.4395 , 1497.42, 760, 0, 0.1, -2.2524e-01, -0.00588, -9.9000e+00, -9.9000e+00,  90.01, 270.02, 0.061, 0.025, 225, 300, 0.75 , 0.54 , 0.489, 0.455),            ( 0.07 ,  0.92652,  0.97057,  0.7494  ,  0.91227, 1.4082 ,  0.072075, -0.19451  , 5.5 , -1.0884, 0.18369 , -1.056e-02, 4.5, 1, 4.06, 0, 0.0029639, -2.1148e-03, -0.4404 , 1495.85, 760, 0, 0.1, -2.2931e-01, -0.00582, -9.9000e+00, -9.9000e+00,  87.97, 270.03, 0.062, 0.024, 225, 300, 0.748, 0.541, 0.483, 0.461),            ( 0.075,  0.96447,  1.0077 ,  0.77678 ,  0.9563 , 1.4174 ,  0.073549, -0.19665  , 5.5 , -1.0831, 0.18225 , -1.058e-02, 4.5, 1, 4.04, 0, 0.0029566, -2.1594e-03, -0.44411, 1494.  , 760, 0, 0.1, -2.3500e-01, -0.00573, -9.9000e+00, -9.9000e+00,  85.99, 270.04, 0.064, 0.022, 225, 300, 0.745, 0.542, 0.474, 0.466),            ( 0.08 ,  1.0003 ,  1.0426 ,  0.80161 ,  0.99818, 1.4261 ,  0.073735, -0.19816  , 5.5 , -1.0785, 0.18052 , -1.056e-02, 4.5, 1, 4.02, 0, 0.0029448, -2.2122e-03, -0.4502 , 1491.82, 760, 0, 0.1, -2.3944e-01, -0.00567, -9.9000e+00, -9.9000e+00,  84.23, 270.05, 0.067, 0.02 , 225, 300, 0.741, 0.543, 0.464, 0.468),            ( 0.085,  1.034  ,  1.0755 ,  0.82423 ,  1.0379 , 1.4322 ,  0.07194 , -0.19902  , 5.51, -1.0745, 0.17856 , -1.051e-02, 4.5, 1, 4.03, 0, 0.0029302, -2.2695e-03, -0.45813, 1489.29, 760, 0, 0.1, -2.4285e-01, -0.00563, -9.9000e+00, -9.9000e+00,  82.74, 270.06, 0.072, 0.019, 225, 300, 0.737, 0.543, 0.452, 0.468),            ( 0.09 ,  1.0666 ,  1.1076 ,  0.84591 ,  1.0762 , 1.435  ,  0.068097, -0.19929  , 5.52, -1.0709, 0.17643 , -1.042e-02, 4.5, 1, 4.07, 0, 0.0029138, -2.3269e-03, -0.46732, 1486.36, 760, 0, 0.1, -2.4544e-01, -0.00561, -9.9000e+00, -9.9000e+00,  81.54, 270.07, 0.076, 0.017, 225, 300, 0.734, 0.542, 0.44 , 0.466),            ( 0.095,  1.0981 ,  1.1385 ,  0.86703 ,  1.1127 , 1.4339 ,  0.062327, -0.199    , 5.53, -1.0678, 0.1742  , -1.032e-02, 4.5, 1, 4.1 , 0, 0.0028965, -2.3833e-03, -0.47721, 1482.98, 760, 0, 0.1, -2.4747e-01, -0.0056 , -9.9000e+00, -9.9000e+00,  80.46, 270.08, 0.082, 0.016, 225, 300, 0.731, 0.542, 0.428, 0.464),            ( 0.1  ,  1.1268 ,  1.1669 ,  0.8871  ,  1.1454 , 1.4293 ,  0.055231, -0.19838  , 5.54, -1.0652, 0.17203 , -1.020e-02, 4.5, 1, 4.13, 0, 0.0028792, -2.4388e-03, -0.48724, 1479.12, 760, 0, 0.1, -2.4916e-01, -0.0056 , -9.9000e+00, -9.9000e+00,  79.59, 270.09, 0.087, 0.014, 225, 300, 0.728, 0.541, 0.415, 0.458),            ( 0.11 ,  1.1785 ,  1.2179 ,  0.92702 ,  1.203  , 1.411  ,  0.037389, -0.19601  , 5.57, -1.0607, 0.1677  , -9.964e-03, 4.5, 1, 4.19, 0, 0.0028629, -2.4916e-03, -0.50632, 1474.74, 760, 0, 0.1, -2.5213e-01, -0.00562, -9.9000e+00, -9.9000e+00,  79.05, 270.11, 0.093, 0.012, 225, 300, 0.726, 0.54 , 0.403, 0.451),            ( 0.12 ,  1.223  ,  1.2621 ,  0.96616 ,  1.2502 , 1.3831 ,  0.016373, -0.19265  , 5.62, -1.0572, 0.16352 , -9.722e-03, 4.5, 1, 4.24, 0, 0.0028465, -2.5398e-03, -0.52438, 1469.75, 760, 0, 0.1, -2.5455e-01, -0.00567, -9.9000e+00, -9.9000e+00,  78.85, 270.13, 0.099, 0.011, 225, 300, 0.724, 0.539, 0.392, 0.441),            ( 0.13 ,  1.2596 ,  1.2986 ,  1.0031  ,  1.2869 , 1.3497 , -0.005158, -0.18898  , 5.66, -1.0549, 0.15982 , -9.476e-03, 4.5, 1, 4.29, 0, 0.002831 , -2.5844e-03, -0.54214, 1464.09, 760, 0, 0.1, -2.5628e-01, -0.00572, -9.9000e+00, -9.9000e+00,  78.99, 270.15, 0.104, 0.011, 225, 300, 0.723, 0.538, 0.381, 0.43 ),            ( 0.133,  1.2692 ,  1.3082 ,  1.0135  ,  1.2961 , 1.3395 , -0.011354, -0.18792  , 5.67, -1.0545, 0.15882 , -9.402e-03, 4.5, 1, 4.3 , 0, 0.0028165, -2.6263e-03, -0.54752, 1457.76, 760, 0, 0.1, -2.5665e-01, -0.00574, -9.9000e+00, -9.9000e+00,  79.47, 270.15, 0.11 , 0.011, 225, 300, 0.722, 0.538, 0.371, 0.417),            ( 0.14 ,  1.2883 ,  1.327  ,  1.036   ,  1.3137 , 1.3162 , -0.024711, -0.18566  , 5.7 , -1.0537, 0.15672 , -9.228e-03, 4.5, 1, 4.34, 0, 0.0028019, -2.6663e-03, -0.56032, 1450.71, 760, 0, 0.1, -2.5719e-01, -0.00578, -9.9000e+00, -9.9000e+00,  80.26, 270.16, 0.115, 0.012, 225, 300, 0.721, 0.537, 0.362, 0.403),            ( 0.15 ,  1.3095 ,  1.3481 ,  1.0648  ,  1.3324 , 1.2844 , -0.042065, -0.18234  , 5.74, -1.0532, 0.15401 , -8.977e-03, 4.5, 1, 4.39, 0, 0.0027864, -2.7063e-03, -0.57962, 1442.85, 760, 0, 0.1, -2.5713e-01, -0.00585, -9.9000e+00, -9.9000e+00,  81.33, 270.16, 0.12 , 0.015, 225, 300, 0.72 , 0.537, 0.354, 0.388),            ( 0.16 ,  1.3235 ,  1.3615 ,  1.0876  ,  1.3437 , 1.2541 , -0.057593, -0.17853  , 5.78, -1.0533, 0.15158 , -8.725e-03, 4.5, 1, 4.44, 0, 0.0027646, -2.7509e-03, -0.60052, 1434.22, 760, 0, 0.1, -2.5604e-01, -0.00591, -9.9000e+00, -9.9000e+00,  82.86, 270.16, 0.125, 0.02 , 225, 300, 0.72 , 0.536, 0.349, 0.372),            ( 0.17 ,  1.3306 ,  1.3679 ,  1.104   ,  1.3487 , 1.2244 , -0.071861, -0.17421  , 5.82, -1.0541, 0.14948 , -8.472e-03, 4.5, 1, 4.49, 0, 0.0027336, -2.8019e-03, -0.62252, 1424.85, 760, 0, 0.1, -2.5414e-01, -0.00597, -9.9000e+00, -9.9000e+00,  84.72, 270.14, 0.128, 0.026, 225, 300, 0.718, 0.536, 0.346, 0.357),            ( 0.18 ,  1.3327 ,  1.3689 ,  1.1149  ,  1.3492 , 1.1941 , -0.08564 , -0.16939  , 5.85, -1.0556, 0.14768 , -8.219e-03, 4.5, 1, 4.53, 0, 0.0026991, -2.8547e-03, -0.64486, 1414.77, 760, 0, 0.1, -2.5173e-01, -0.00602, -9.9000e+00, -9.9000e+00,  86.67, 270.11, 0.131, 0.033, 225, 300, 0.717, 0.536, 0.344, 0.341),            ( 0.19 ,  1.3307 ,  1.3656 ,  1.1208  ,  1.3463 , 1.1635 , -0.098884, -0.16404  , 5.89, -1.0579, 0.14616 , -7.967e-03, 4.5, 1, 4.57, 0, 0.0026599, -2.9111e-03, -0.66681, 1403.99, 760, 0, 0.1, -2.4911e-01, -0.00608, -9.9000e+00, -9.9000e+00,  88.73, 270.06, 0.134, 0.039, 225, 300, 0.714, 0.537, 0.343, 0.324),            ( 0.2  ,  1.3255 ,  1.359  ,  1.122   ,  1.3414 , 1.1349 , -0.11096 , -0.15852  , 5.92, -1.0607, 0.14489 , -7.717e-03, 4.5, 1, 4.61, 0, 0.0026117, -2.9702e-03, -0.68762, 1392.61, 760, 0, 0.1, -2.4658e-01, -0.00614, -9.9000e+00, -9.9000e+00,  90.91, 270.  , 0.136, 0.045, 225, 300, 0.711, 0.539, 0.344, 0.309),            ( 0.22 ,  1.3091 ,  1.3394 ,  1.1133  ,  1.3281 , 1.0823 , -0.133   , -0.14704  , 5.97, -1.067 , 0.14263 , -7.224e-03, 4.5, 1, 4.68, 0, 0.0025598, -3.0285e-03, -0.72431, 1380.72, 760, 0, 0.1, -2.4235e-01, -0.00626, -9.9000e+00, -9.9000e+00,  93.04, 269.83, 0.138, 0.052, 225, 300, 0.708, 0.541, 0.345, 0.294),            ( 0.24 ,  1.2881 ,  1.315  ,  1.0945  ,  1.3132 , 1.0366 , -0.15299 , -0.13445  , 6.03, -1.0737, 0.14035 , -6.747e-03, 4.5, 1, 4.75, 0, 0.0025052, -3.0849e-03, -0.75646, 1368.51, 760, 0, 0.1, -2.3823e-01, -0.00638, -9.9000e+00, -9.9000e+00,  95.08, 269.59, 0.14 , 0.055, 225, 300, 0.703, 0.544, 0.347, 0.28 ),            ( 0.25 ,  1.2766 ,  1.3017 ,  1.0828  ,  1.3052 , 1.0166 , -0.16213 , -0.12784  , 6.05, -1.0773, 0.13925 , -6.517e-03, 4.5, 1, 4.78, 0, 0.0024443, -3.1395e-03, -0.77177, 1356.21, 760, 0, 0.1, -2.3574e-01, -0.00644, -9.9000e+00, -9.9000e+00,  97.04, 269.45, 0.141, 0.055, 225, 300, 0.698, 0.547, 0.35 , 0.266),            ( 0.26 ,  1.2651 ,  1.2886 ,  1.071   ,  1.2972 , 0.99932, -0.17041 , -0.12115  , 6.07, -1.0808, 0.13818 , -6.293e-03, 4.5, 1, 4.82, 0, 0.0023797, -3.1896e-03, -0.78697, 1343.89, 760, 0, 0.1, -2.3280e-01, -0.0065 , -9.9000e+00, -9.9000e+00,  98.87, 269.3 , 0.141, 0.055, 225, 300, 0.693, 0.55 , 0.353, 0.255),            ( 0.28 ,  1.2429 ,  1.2635 ,  1.0476  ,  1.2815 , 0.97282, -0.18463 , -0.10714  , 6.11, -1.0879, 0.13604 , -5.866e-03, 4.5, 1, 4.88, 0, 0.0023141, -3.2351e-03, -0.81613, 1331.67, 760, 0, 0.1, -2.2601e-01, -0.0066 , -9.9000e+00, -9.9000e+00, 100.53, 268.96, 0.14 , 0.053, 225, 300, 0.687, 0.554, 0.357, 0.244),            ( 0.29 ,  1.2324 ,  1.2517 ,  1.0363  ,  1.2736 , 0.96348, -0.19057 , -0.10011  , 6.12, -1.0913, 0.13499 , -5.666e-03, 4.5, 1, 4.9 , 0, 0.0022504, -3.2742e-03, -0.8295 , 1319.83, 760, 0, 0.1, -2.2250e-01, -0.00665, -9.9000e+00, -9.9000e+00, 102.01, 268.78, 0.139, 0.051, 225, 300, 0.681, 0.557, 0.36 , 0.236),            ( 0.3  ,  1.2217 ,  1.2401 ,  1.0246  ,  1.2653 , 0.95676, -0.1959  , -0.092855 , 6.14, -1.0948, 0.13388 , -5.475e-03, 4.5, 1, 4.93, 0, 0.0021958, -3.2969e-03, -0.84165, 1308.47, 760, 0, 0.1, -2.1912e-01, -0.0067 , -9.9000e+00, -9.9000e+00, 103.15, 268.59, 0.138, 0.05 , 225, 300, 0.675, 0.561, 0.363, 0.229),            ( 0.32 ,  1.2007 ,  1.2177 ,  1.0011  ,  1.2479 , 0.95004, -0.20454 , -0.078923 , 6.16, -1.1013, 0.13179 , -5.122e-03, 4.5, 1, 4.98, 0, 0.0021549, -3.3033e-03, -0.86175, 1297.65, 760, 0, 0.1, -2.1318e-01, -0.0068 , -9.9000e+00, -9.9000e+00, 104.  , 268.2 , 0.135, 0.048, 225, 300, 0.67 , 0.566, 0.366, 0.223),            ( 0.34 ,  1.179  ,  1.1955 ,  0.97677 ,  1.2286 , 0.94956, -0.21134 , -0.065134 , 6.18, -1.1074, 0.12984 , -4.808e-03, 4.5, 1, 5.03, 0, 0.0021239, -3.2997e-03, -0.87726, 1287.5 , 760, 0, 0.1, -2.0816e-01, -0.00689, -9.9000e+00, -9.9000e+00, 104.7 , 267.79, 0.133, 0.047, 225, 300, 0.664, 0.57 , 0.369, 0.218),            ( 0.35 ,  1.1674 ,  1.1836 ,  0.9638  ,  1.2177 , 0.95077, -0.21446 , -0.057921 , 6.18, -1.1105, 0.1289  , -4.663e-03, 4.5, 1, 5.06, 0, 0.0021039, -3.2869e-03, -0.88375, 1278.06, 760, 0, 0.1, -2.0592e-01, -0.00693, -9.9000e+00, -9.9000e+00, 105.26, 267.58, 0.13 , 0.047, 225, 300, 0.658, 0.573, 0.372, 0.215),            ( 0.36 ,  1.1558 ,  1.172  ,  0.9512  ,  1.2066 , 0.95278, -0.21716 , -0.05104  , 6.19, -1.1133, 0.12806 , -4.527e-03, 4.5, 1, 5.08, 0, 0.0020966, -3.2669e-03, -0.88965, 1269.19, 760, 0, 0.1, -2.0379e-01, -0.00697, -9.9000e+00, -9.9000e+00, 105.61, 267.37, 0.128, 0.047, 225, 300, 0.653, 0.576, 0.375, 0.212),            ( 0.38 ,  1.1305 ,  1.1468 ,  0.9244  ,  1.1816 , 0.95899, -0.22214 , -0.036755 , 6.19, -1.119 , 0.12647 , -4.276e-03, 4.5, 1, 5.12, 0, 0.0020976, -3.2423e-03, -0.90038, 1260.74, 760, 0, 0.1, -1.9978e-01, -0.00705, -9.9000e+00, -9.9000e+00, 105.87, 266.95, 0.125, 0.048, 225, 300, 0.648, 0.578, 0.378, 0.21 ),            ( 0.4  ,  1.1046 ,  1.1214 ,  0.89765 ,  1.1552 , 0.96766, -0.22608 , -0.023189 , 6.2 , -1.1243, 0.12512 , -4.053e-03, 4.5, 1, 5.16, 0, 0.0021067, -3.2123e-03, -0.91092, 1252.66, 760, 0, 0.1, -1.9582e-01, -0.00713, -9.9000e+00, -9.9000e+00, 106.02, 266.54, 0.122, 0.049, 225, 300, 0.643, 0.58 , 0.381, 0.21 ),            ( 0.42 ,  1.0782 ,  1.0955 ,  0.87067 ,  1.1276 , 0.97862, -0.22924 , -0.010417 , 6.2 , -1.1291, 0.12389 , -3.853e-03, 4.5, 1, 5.2 , 0, 0.0021267, -3.1768e-03, -0.92241, 1244.8 , 760, 0, 0.1, -1.9171e-01, -0.00719, -9.9000e+00, -9.9000e+00, 106.03, 266.16, 0.12 , 0.051, 225, 300, 0.638, 0.583, 0.384, 0.21 ),            ( 0.44 ,  1.0515 ,  1.0697 ,  0.84355 ,  1.0995 , 0.99144, -0.23166 ,  0.0011678, 6.2 , -1.1337, 0.12278 , -3.673e-03, 4.5, 1, 5.24, 0, 0.0021603, -3.1322e-03, -0.93459, 1237.03, 760, 0, 0.1, -1.8747e-01, -0.00726, -9.9000e+00, -9.9000e+00, 105.92, 265.8 , 0.117, 0.053, 225, 300, 0.634, 0.585, 0.388, 0.211),            ( 0.45 ,  1.0376 ,  1.0562 ,  0.82941 ,  1.0847 , 0.99876, -0.23263 ,  0.0065887, 6.2 , -1.1359, 0.12227 , -3.590e-03, 4.5, 1, 5.25, 0, 0.0022022, -3.0794e-03, -0.94075, 1229.23, 760, 0, 0.1, -1.8534e-01, -0.00729, -9.9000e+00, -9.9000e+00, 105.79, 265.64, 0.115, 0.054, 225, 300, 0.629, 0.589, 0.393, 0.213),            ( 0.46 ,  1.0234 ,  1.0426 ,  0.81509 ,  1.0696 , 1.0064 , -0.2335  ,  0.011871 , 6.2 , -1.1381, 0.12177 , -3.510e-03, 4.5, 1, 5.27, 0, 0.0022495, -3.0212e-03, -0.94686, 1221.16, 760, 0, 0.1, -1.8321e-01, -0.00732, -9.9000e+00, -9.9000e+00, 105.69, 265.48, 0.113, 0.055, 225, 300, 0.624, 0.592, 0.398, 0.216),            ( 0.48 ,  0.99719,  1.0172 ,  0.7886  ,  1.0415 , 1.0215 , -0.23464 ,  0.020767 , 6.2 , -1.142 , 0.12093 , -3.360e-03, 4.5, 1, 5.3 , 0, 0.0022978, -2.9639e-03, -0.95863, 1212.74, 760, 0, 0.1, -1.7902e-01, -0.00738, -9.9000e+00, -9.9000e+00, 105.59, 265.21, 0.111, 0.057, 225, 300, 0.619, 0.595, 0.404, 0.219),            ( 0.5  ,  0.96991,  0.99106,  0.7615  ,  1.012  , 1.0384 , -0.23522 ,  0.029119 , 6.2 , -1.1459, 0.12015 , -3.220e-03, 4.5, 1, 5.34, 0, 0.0023478, -2.9065e-03, -0.9693 , 1203.91, 760, 0, 0.1, -1.7500e-01, -0.00744, -9.9000e+00, -9.9000e+00, 105.54, 265.  , 0.109, 0.06 , 225, 300, 0.615, 0.599, 0.41 , 0.224),            ( 0.55 ,  0.9048 ,  0.9283 ,  0.6984  ,  0.9417 , 1.0833 , -0.23449 ,  0.046932 , 6.2 , -1.1543, 0.11847 , -2.897e-03, 4.5, 1, 5.41, 0, 0.0023988, -2.8483e-03, -0.98925, 1194.59, 760, 0, 0.1, -1.6601e-01, -0.00758, -9.9000e+00, -9.9000e+00, 105.61, 264.74, 0.108, 0.066, 225, 300, 0.61 , 0.603, 0.417, 0.229),            ( 0.6  ,  0.84165,  0.86715,  0.63875 ,  0.87351, 1.1336 , -0.23128 ,  0.062667 , 6.2 , -1.1615, 0.11671 , -2.610e-03, 4.5, 1, 5.48, 0, 0.0024515, -2.7892e-03, -1.0012 , 1184.93, 760, 0, 0.1, -1.5830e-01, -0.00773, -9.9000e+00, -9.9000e+00, 105.83, 264.83, 0.106, 0.071, 225, 300, 0.605, 0.607, 0.424, 0.235),            ( 0.65 ,  0.78181,  0.80876,  0.58231 ,  0.80948, 1.1861 , -0.22666 ,  0.077997 , 6.2 , -1.1676, 0.11465 , -2.356e-03, 4.5, 1, 5.53, 0, 0.002508 , -2.7273e-03, -1.0078 , 1175.19, 760, 0, 0.1, -1.5144e-01, -0.00787,  5.8286e-03,  3.7620e-03, 106.2 , 265.2 , 0.105, 0.073, 225, 300, 0.599, 0.611, 0.431, 0.243),            ( 0.667,  0.76262,  0.78994,  0.56422 ,  0.78916, 1.2035 , -0.22497 ,  0.083058 , 6.2 , -1.1694, 0.11394 , -2.276e-03, 4.5, 1, 5.54, 0, 0.002568 , -2.6618e-03, -1.0093 , 1165.69, 760, 0, 0.1, -1.4923e-01, -0.00792,  2.6446e-02,  1.7100e-02, 106.75, 265.38, 0.103, 0.074, 225, 300, 0.593, 0.615, 0.44 , 0.25 ),            ( 0.7  ,  0.72513,  0.75302,  0.52878 ,  0.74985, 1.2375 , -0.22143 ,  0.093185 , 6.2 , -1.1728, 0.11253 , -2.131e-03, 4.5, 1, 5.56, 0, 0.002629 , -2.5953e-03, -1.0117 , 1156.46, 760, 0, 0.1, -1.4503e-01, -0.008  ,  5.5495e-02,  3.5728e-02, 107.48, 265.78, 0.102, 0.073, 225, 300, 0.587, 0.619, 0.448, 0.258),            ( 0.75 ,  0.66903,  0.69737,  0.47523 ,  0.69173, 1.2871 , -0.21591 ,  0.10829  , 6.2 , -1.1777, 0.11054 , -1.931e-03, 4.5, 1, 5.6 , 0, 0.00269  , -2.5271e-03, -1.0154 , 1147.59, 760, 0, 0.1, -1.3866e-01, -0.00812,  9.2259e-02,  5.9024e-02, 108.39, 266.51, 0.1  , 0.07 , 225, 300, 0.581, 0.622, 0.457, 0.266),            ( 0.8  ,  0.61346,  0.64196,  0.42173 ,  0.63519, 1.3341 , -0.21047 ,  0.12256  , 6.2 , -1.1819, 0.10873 , -1.754e-03, 4.5, 1, 5.63, 0, 0.0027464, -2.4561e-03, -1.021  , 1139.21, 760, 0, 0.1, -1.3201e-01, -0.00822,  1.4040e-01,  8.8481e-02, 109.62, 267.32, 0.099, 0.063, 225, 300, 0.576, 0.624, 0.466, 0.274),            ( 0.85 ,  0.55853,  0.58698,  0.36813 ,  0.57969, 1.378  , -0.20528 ,  0.13608  , 6.2 , -1.1854, 0.10709 , -1.597e-03, 4.5, 1, 5.66, 0, 0.0027973, -2.3787e-03, -1.0282 , 1131.34, 760, 0, 0.1, -1.2517e-01, -0.0083 ,  1.9495e-01,  1.2029e-01, 111.08, 268.14, 0.099, 0.053, 225, 300, 0.57 , 0.625, 0.475, 0.281),            ( 0.9  ,  0.50296,  0.53136,  0.31376 ,  0.52361, 1.4208 , -0.20011 ,  0.14983  , 6.2 , -1.1884, 0.10548 , -1.456e-03, 4.5, 1, 5.69, 0, 0.0028428, -2.2932e-03, -1.036  , 1123.91, 760, 0, 0.1, -1.1831e-01, -0.00836,  2.5203e-01,  1.5159e-01, 112.71, 268.9 , 0.098, 0.042, 225, 300, 0.564, 0.626, 0.483, 0.288),            ( 0.95 ,  0.44701,  0.47541,  0.25919 ,  0.46706, 1.4623 , -0.1949  ,  0.16432  , 6.2 , -1.1909, 0.10389 , -1.328e-03, 4.5, 1, 5.72, 0, 0.0028847, -2.1958e-03, -1.0436 , 1116.83, 760, 0, 0.1, -1.1160e-01, -0.00841,  3.0940e-01,  1.8077e-01, 114.5 , 269.55, 0.098, 0.03 , 225, 300, 0.558, 0.626, 0.491, 0.294),            ( 1.   ,  0.3932 ,  0.4218 ,  0.207   ,  0.4124 , 1.5004 , -0.18983 ,  0.17895  , 6.2 , -1.193 , 0.10248 , -1.210e-03, 4.5, 1, 5.74, 0, 0.0029211, -2.0894e-03, -1.05   , 1109.95, 760, 0, 0.1, -1.0521e-01, -0.00844,  3.6695e-01,  2.0789e-01, 116.39, 270.  , 0.098, 0.02 , 225, 300, 0.553, 0.625, 0.498, 0.298),            ( 1.1  ,  0.28484,  0.31374,  0.10182 ,  0.30209, 1.569  , -0.18001 ,  0.21042  , 6.2 , -1.1966, 0.10016 , -9.940e-04, 4.5, 1, 5.82, 0, 0.0029539, -1.9774e-03, -1.0573 , 1103.07, 760, 0, 0.1, -9.3837e-02, -0.00847,  4.2452e-01,  2.3310e-01, 118.3 , 270.18, 0.099, 0.007, 225, 300, 0.548, 0.624, 0.505, 0.302),            ( 1.2  ,  0.1734 ,  0.20259, -0.006195,  0.18866, 1.6282 , -0.1709  ,  0.2441   , 6.2 , -1.1996, 0.098482, -8.030e-04, 4.5, 1, 5.92, 0, 0.0029821, -1.8619e-03, -1.0584 , 1096.04, 760, 0, 0.1, -8.4144e-02, -0.00842,  4.8116e-01,  2.5606e-01, 120.19, 269.42, 0.1  , 0.002, 225, 300, 0.543, 0.623, 0.511, 0.306),            ( 1.3  ,  0.06152,  0.09106, -0.11345 ,  0.07433, 1.6794 , -0.16233 ,  0.27799  , 6.2 , -1.2018, 0.097375, -6.350e-04, 4.5, 1, 6.01, 0, 0.0030066, -1.7454e-03, -1.0554 , 1088.67, 760, 0, 0.1, -7.5819e-02, -0.00829,  5.3597e-01,  2.7648e-01, 122.01, 267.82, 0.101, 0.003, 225, 300, 0.539, 0.622, 0.516, 0.309),            ( 1.4  , -0.04575, -0.0157 , -0.2155  , -0.03607, 1.7239 , -0.15413 ,  0.30956  , 6.2 , -1.2039, 0.096743, -4.900e-04, 4.5, 1, 6.1 , 0, 0.0030258, -1.6298e-03, -1.0504 , 1080.77, 760, 0, 0.1, -6.8543e-02, -0.00806,  5.8832e-01,  2.9424e-01, 123.75, 265.45, 0.102, 0.006, 225, 300, 0.535, 0.62 , 0.521, 0.312),            ( 1.5  , -0.14954, -0.11866, -0.3138  , -0.1437 , 1.7622 , -0.1467  ,  0.33896  , 6.2 , -1.2063, 0.096445, -3.650e-04, 4.5, 1, 6.18, 0, 0.0030394, -1.5179e-03, -1.0454 , 1072.39, 760, 0, 0.1, -6.2000e-02, -0.00771,  6.3789e-01,  3.0944e-01, 125.38, 262.41, 0.104, 0.01 , 225, 300, 0.532, 0.619, 0.525, 0.315),            ( 1.6  , -0.2486 , -0.21672, -0.40682 , -0.24708, 1.7955 , -0.13997 ,  0.36616  , 6.2 , -1.2086, 0.096338, -2.590e-04, 4.5, 1, 6.26, 0, 0.0030412, -1.4114e-03, -1.0421 , 1061.77, 760, 0, 0.1, -5.5927e-02, -0.00723,  6.8889e-01,  3.2449e-01, 126.9 , 258.78, 0.105, 0.012, 225, 300, 0.529, 0.618, 0.528, 0.318),            ( 1.7  , -0.34145, -0.3084 , -0.49295 , -0.34465, 1.8259 , -0.13361 ,  0.39065  , 6.2 , -1.2106, 0.096254, -1.710e-04, 4.5, 1, 6.33, 0, 0.0030258, -1.3231e-03, -1.0404 , 1049.29, 760, 0, 0.1, -5.0286e-02, -0.00666,  7.3578e-01,  3.3720e-01, 128.14, 254.66, 0.106, 0.012, 225, 300, 0.527, 0.618, 0.53 , 0.321),            ( 1.8  , -0.42975, -0.39558, -0.57388 , -0.43818, 1.8564 , -0.12686 ,  0.41244  , 6.2 , -1.2123, 0.096207, -9.900e-05, 4.5, 1, 6.4 , 0, 0.0030003, -1.2531e-03, -1.0397 , 1036.42, 760, 0, 0.1, -4.5096e-02, -0.00603,  7.7992e-01,  3.4963e-01, 129.11, 250.11, 0.106, 0.012, 225, 300, 0.526, 0.618, 0.531, 0.323),            ( 1.9  , -0.51276, -0.47731, -0.64899 , -0.52682, 1.8868 , -0.11959 ,  0.43151  , 6.2 , -1.2141, 0.096255, -4.200e-05, 4.5, 1, 6.48, 0, 0.0029675, -1.2012e-03, -1.0395 , 1023.14, 760, 0, 0.1, -4.0373e-02, -0.0054 ,  8.2427e-01,  3.6413e-01, 129.86, 245.25, 0.106, 0.01 , 225, 300, 0.526, 0.618, 0.532, 0.326),            ( 2.   , -0.58669, -0.55003, -0.71466 , -0.60658, 1.9152 , -0.11237 ,  0.44788  , 6.2 , -1.2159, 0.096361,  0.000e+00, 4.5, 1, 6.54, 0, 0.0029229, -1.1703e-03, -1.0392 , 1009.49, 760, 0, 0.1, -3.6136e-02, -0.00479,  8.7138e-01,  3.8245e-01, 130.37, 240.14, 0.105, 0.008, 225, 300, 0.526, 0.618, 0.532, 0.329),            ( 2.2  , -0.72143, -0.6822 , -0.83003 , -0.75402, 1.9681 , -0.098017,  0.48024  , 6.2 , -1.219 , 0.096497,  0.000e+00, 4.5, 1, 6.66, 0, 0.0028701, -1.1566e-03, -1.0368 ,  995.52, 760, 0, 0.1, -2.9105e-02, -0.00378,  9.2033e-01,  4.0402e-01, 130.67, 229.55, 0.103, 0.005, 225, 300, 0.527, 0.619, 0.533, 0.332),            ( 2.4  , -0.8481 , -0.8069 , -0.9326  , -0.8941 , 2.017  , -0.083765,  0.51873  , 6.2 , -1.2202, 0.096198,  0.000e+00, 4.5, 1, 6.73, 0, 0.0028146, -1.1548e-03, -1.0323 ,  981.33, 760, 0, 0.1, -2.3710e-02, -0.00302,  9.6931e-01,  4.2742e-01, 130.81, 219.05, 0.1  , 0.003, 225, 300, 0.528, 0.619, 0.533, 0.335),            ( 2.5  , -0.90966, -0.86765, -0.98228 , -0.96187, 2.0406 , -0.076308,  0.53883  , 6.2 , -1.2201, 0.096106,  0.000e+00, 4.5, 1, 6.77, 0, 0.0027609, -1.1593e-03, -1.0294 ,  966.94, 760, 0, 0.1, -2.1509e-02, -0.00272,  1.0167e+00,  4.5142e-01, 130.81, 214.04, 0.097, 0.002, 225, 300, 0.53 , 0.619, 0.534, 0.337),            ( 2.6  , -0.96863, -0.92577, -1.0313  , -1.0266 , 2.0628 , -0.068925,  0.5581   , 6.2 , -1.2198, 0.096136,  0.000e+00, 4.5, 1, 6.81, 0, 0.0027082, -1.1684e-03, -1.0262 ,  952.34, 760, 0, 0.1, -1.9576e-02, -0.00246,  1.0601e+00,  4.7422e-01, 130.72, 209.32, 0.094, 0.001, 225, 300, 0.531, 0.62 , 0.535, 0.34 ),            ( 2.8  , -1.0817 , -1.0367 , -1.1301  , -1.1495 , 2.1014 , -0.055229,  0.59394  , 6.2 , -1.2189, 0.096667,  0.000e+00, 4.5, 1, 6.87, 0, 0.0026581, -1.1803e-03, -1.019  ,  937.52, 760, 0, 0.1, -1.6324e-02, -0.00208,  1.0990e+00,  4.9536e-01, 130.57, 201.08, 0.091, 0.   , 225, 300, 0.532, 0.619, 0.536, 0.342),            ( 3.   , -1.1898 , -1.142  , -1.23    , -1.2664 , 2.1323 , -0.04332 ,  0.62694  , 6.2 , -1.2179, 0.097638,  0.000e+00, 4.5, 1, 6.93, 0, 0.0026163, -1.1885e-03, -1.0112 ,  922.43, 760, 0, 0.1, -1.3577e-02, -0.00183,  1.1348e+00,  5.1585e-01, 130.36, 195.  , 0.088, 0.   , 225, 300, 0.534, 0.619, 0.537, 0.344),            ( 3.2  , -1.2914 , -1.2406 , -1.3255  , -1.376  , 2.1545 , -0.03444 ,  0.65811  , 6.2 , -1.2169, 0.098649, -2.300e-05, 4.5, 1, 6.99, 0, 0.002588 , -1.1921e-03, -1.0032 ,  908.79, 760, 0, 0.1, -1.1030e-02, -0.00167,  1.1638e+00,  5.3411e-01, 130.13, 191.61, 0.084, 0.   , 225, 300, 0.535, 0.618, 0.538, 0.345),            ( 3.4  , -1.386  , -1.3322 , -1.415   , -1.4786 , 2.1704 , -0.027889,  0.68755  , 6.2 , -1.216 , 0.099553, -4.000e-05, 4.5, 1, 7.08, 0, 0.0025753, -1.1866e-03, -0.99512,  896.15, 760, 0, 0.1, -8.6652e-03, -0.00158,  1.1882e+00,  5.5145e-01, 129.9 , 190.73, 0.081, 0.   , 225, 300, 0.535, 0.618, 0.54 , 0.346),            ( 3.5  , -1.4332 , -1.3778 , -1.4599  , -1.5297 , 2.1775 , -0.024997,  0.70216  , 6.2 , -1.2156, 0.099989, -4.500e-05, 4.5, 1, 7.12, 0, 0.0025717, -1.1739e-03, -0.991  ,  883.16, 760, 0, 0.1, -7.5682e-03, -0.00155,  1.2114e+00,  5.6981e-01, 129.71, 191.11, 0.078, 0.   , 225, 300, 0.536, 0.617, 0.541, 0.347),            ( 3.6  , -1.4762 , -1.4193 , -1.5014  , -1.5764 , 2.1834 , -0.022575,  0.71523  , 6.2 , -1.2156, 0.10043 , -4.900e-05, 4.5, 1, 7.16, 0, 0.0025735, -1.1539e-03, -0.98682,  870.05, 760, 0, 0.1, -6.5374e-03, -0.00154,  1.2336e+00,  5.8932e-01, 129.56, 191.98, 0.075, 0.   , 225, 300, 0.536, 0.616, 0.542, 0.348),            ( 3.8  , -1.5617 , -1.5014 , -1.5865  , -1.6685 , 2.1938 , -0.018362,  0.74028  , 6.2 , -1.2158, 0.10142 , -5.300e-05, 4.5, 1, 7.24, 0, 0.0025862, -1.1229e-03, -0.97826,  857.07, 760, 0, 0.1, -4.7016e-03, -0.00152,  1.2534e+00,  6.0918e-01, 129.49, 195.01, 0.072, 0.   , 225, 300, 0.536, 0.616, 0.543, 0.349),            ( 4.   , -1.6388 , -1.5748 , -1.6673  , -1.7516 , 2.204  , -0.014642,  0.76303  , 6.2 , -1.2162, 0.10218 , -5.200e-05, 4.5, 1, 7.32, 0, 0.0026053, -1.0829e-03, -0.96938,  844.48, 760, 0, 0.1, -3.2123e-03, -0.00152,  1.2711e+00,  6.2939e-01, 129.49, 199.45, 0.07 , 0.   , 225, 300, 0.536, 0.616, 0.543, 0.349),            ( 4.2  , -1.7116 , -1.6439 , -1.7451  , -1.829  , 2.2123 , -0.012248,  0.78552  , 6.2 , -1.2165, 0.10269 , -4.700e-05, 4.5, 1, 7.39, 0, 0.002619 , -1.0247e-03, -0.96012,  832.45, 760, 0, 0.1, -2.1033e-03, -0.00152,  1.2870e+00,  6.5157e-01, 129.57, 204.93, 0.068, 0.   , 225, 300, 0.535, 0.616, 0.542, 0.349),            ( 4.4  , -1.7798 , -1.7089 , -1.8192  , -1.9011 , 2.2181 , -0.011459,  0.80792  , 6.2 , -1.2169, 0.10304 , -3.900e-05, 4.5, 1, 7.46, 0, 0.0026235, -9.4640e-04, -0.95049,  821.18, 760, 0, 0.1, -1.3244e-03, -0.0015 ,  1.3004e+00,  6.7421e-01, 129.71, 211.09, 0.066, 0.   , 225, 300, 0.534, 0.617, 0.54 , 0.347),            ( 4.6  , -1.8469 , -1.7731 , -1.8923  , -1.9712 , 2.223  , -0.01176 ,  0.83126  , 6.2 , -1.2175, 0.10324 , -2.700e-05, 4.5, 1, 7.52, 0, 0.0026217, -8.4448e-04, -0.9405 ,  810.79, 760, 0, 0.1, -8.0422e-04, -0.00148,  1.3125e+00,  6.9698e-01, 129.87, 217.56, 0.064, 0.   , 225, 300, 0.533, 0.619, 0.538, 0.345),            ( 4.8  , -1.9063 , -1.8303 , -1.9573  , -2.0326 , 2.2268 , -0.012879,  0.8524   , 6.2 , -1.2182, 0.10337 , -1.400e-05, 4.5, 1, 7.64, 0, 0.0026153, -7.1799e-04, -0.93018,  801.41, 760, 0, 0.1, -4.7145e-04, -0.00146,  1.3225e+00,  7.1888e-01, 130.05, 223.99, 0.063, 0.   , 225, 300, 0.531, 0.621, 0.535, 0.341),            ( 5.   , -1.966  , -1.8882 , -2.0245  , -2.0928 , 2.2299 , -0.014855,  0.87314  , 6.2 , -1.2189, 0.10353 ,  0.000e+00, 4.5, 1, 7.78, 0, 0.0026035, -5.7148e-04, -0.91954,  793.13, 760, 0, 0.1, -2.5480e-04, -0.00144,  1.3289e+00,  7.3806e-01, 130.22, 230.  , 0.061, 0.   , 225, 300, 0.528, 0.622, 0.532, 0.335),            ( 5.5  , -2.1051 , -2.0232 , -2.1908  , -2.2288 , 2.2389 , -0.019502,  0.91466  , 6.2 , -1.2204, 0.1046  ,  0.000e+00, 4.5, 1, 8.07, 0, 0.0025908, -4.0768e-04, -0.89176,  785.73, 760, 0, 0.1,  7.2383e-05, -0.0014 ,  1.3450e+00,  7.7790e-01, 130.39, 241.86, 0.06 , 0.   , 225, 300, 0.526, 0.624, 0.528, 0.329),            ( 6.   , -2.2421 , -2.1563 , -2.3659  , -2.3579 , 2.2377 , -0.026383,  0.9487   , 6.2 , -1.2232, 0.1075  ,  0.000e+00, 4.5, 1, 8.48, 0, 0.0025835, -2.2841e-04, -0.86286,  779.91, 760, 0, 0.1,  1.8770e-04, -0.00138,  1.3496e+00,  8.0278e-01, 130.53, 249.34, 0.059, 0.   , 225, 300, 0.524, 0.625, 0.524, 0.321),            ( 6.5  , -2.3686 , -2.2785 , -2.5322  , -2.477  , 2.215  , -0.039505,  0.97643  , 6.2 , -1.2299, 0.11231 ,  0.000e+00, 4.5, 1, 8.9 , 0, 0.0025862, -3.6400e-05, -0.83355,  775.6 , 760, 0, 0.1,  1.5945e-04, -0.00137,  1.3489e+00,  8.1480e-01, 130.63, 252.94, 0.059, 0.   , 225, 300, 0.52 , 0.634, 0.517, 0.312),            ( 7.   , -2.4827 , -2.3881 , -2.6818  , -2.5854 , 2.172  , -0.05914 ,  0.99757  , 6.2 , -1.2408, 0.11853 ,  0.000e+00, 4.5, 1, 9.2 , 0, 0.0026026,  1.6835e-04, -0.80457,  772.68, 760, 0, 0.1,  5.5920e-05, -0.00137,  1.3422e+00,  8.1615e-01, 130.7 , 253.12, 0.059, 0.   , 225, 300, 0.515, 0.636, 0.514, 0.302),            ( 7.5  , -2.5865 , -2.4874 , -2.8176  , -2.6854 , 2.1187 , -0.081606,  1.0121   , 6.2 , -1.2543, 0.12507 ,  0.000e+00, 4.5, 1, 9.48, 0, 0.0026   ,  3.8493e-04, -0.77665,  771.01, 760, 0, 0.1, -5.4600e-05, -0.00137,  1.3288e+00,  8.0900e-01, 130.72, 250.39, 0.058, 0.   , 225, 300, 0.512, 0.634, 0.511, 0.27 ),            ( 8.   , -2.6861 , -2.5829 , -2.9438  , -2.7823 , 2.0613 , -0.10382 ,  1.0232   , 6.2 , -1.2688, 0.13146 ,  0.000e+00, 4.5, 1, 9.57, 0, 0.00263  ,  7.2000e-04, -0.75033,  760.81, 760, 0, 0.1, -1.1724e-04, -0.00137,  1.3084e+00,  7.9538e-01, 130.87, 245.23, 0.059, 0.   , 225, 300, 0.51 , 0.63 , 0.507, 0.278),            ( 8.5  , -2.782  , -2.6752 , -3.0597  , -2.8776 , 2.0084 , -0.12114 ,  1.0335   , 6.2 , -1.2839, 0.13742 ,  0.000e+00, 4.5, 1, 9.62, 0, 0.00267  ,  9.4000e-04, -0.72544,  764.5 , 760, 0, 0.1, -1.3084e-04, -0.00137,  1.2822e+00,  7.7671e-01, 130.71, 238.13, 0.059, 0.   , 225, 300, 0.509, 0.622, 0.503, 0.265),            ( 9.   , -2.8792 , -2.7687 , -3.1713  , -2.9759 , 1.9605 , -0.13407 ,  1.0453   , 6.2 , -1.2989, 0.14294 ,  0.000e+00, 4.5, 1, 9.66, 0, 0.00276  ,  1.1300e-03, -0.70161,  768.07, 760, 0, 0.1, -1.0766e-04, -0.00137,  1.2515e+00,  7.5425e-01, 130.5 , 229.56, 0.06 , 0.   , 225, 300, 0.509, 0.613, 0.498, 0.252),            ( 9.5  , -2.9769 , -2.8634 , -3.2785  , -3.076  , 1.9189 , -0.14364 ,  1.0567   , 6.2 , -1.313 , 0.14781 ,  0.000e+00, 4.5, 1, 9.66, 0, 0.00289  ,  1.3100e-03, -0.6785 ,  771.55, 760, 0, 0.1, -5.9962e-05, -0.00136,  1.2179e+00,  7.2925e-01, 130.26, 220.02, 0.06 , 0.   , 225, 300, 0.509, 0.604, 0.492, 0.239),            (10.   , -3.0702 , -2.9537 , -3.3776  , -3.1726 , 1.8837 , -0.15096 ,  1.0651   , 6.2 , -1.3253, 0.15183 ,  0.000e+00, 4.5, 1, 9.66, 0, 0.00303  ,  1.4900e-03, -0.65575,  775.  , 760, 0, 0.1,  0.0000e+00, -0.00136,  1.1829e+00,  7.0300e-01, 130.  , 210.  , 0.06 , 0.   , 225, 300, 0.51 , 0.604, 0.487, 0.239)],           dtype=[('period', '<f8'), ('e_0', '<f8'), ('e_1', '<f8'), ('e_2', '<f8'), ('e_3', '<f8'), ('e_4', '<f8'), ('e_5', '<f8'), ('e_6', '<f8'), ('M_h', '<f8'), ('c_1', '<f8'), ('c_2', '<f8'), ('c_3', '<f8'), ('M_ref', '<f8'), ('R_ref', '<i8'), ('h', '<f8'), ('dc_3global', '<i8'), ('dc_3ct', '<f8'), ('dc_3ij', '<f8'), ('c', '<f8'), ('V_c', '<f8'), ('V_ref', '<i8'), ('f_1', '<i8'), ('f_3', '<f8'), ('f_4', '<f8'), ('f_5', '<f8'), ('f_6', '<f8'), ('f_7', '<f8'), ('R_1', '<f8'), ('R_2', '<f8'), ('dphi_R', '<f8'), ('dphi_V', '<f8'), ('V_1', '<i8'), ('V_2', '<i8'), ('phi_1', '<f8'), ('phi_2', '<f8'), ('tau_1', '<f8'), ('tau_2', '<f8')])

PERIODS = array([-1.   ,  0.   ,  0.01 ,  0.02 ,  0.022,  0.025,  0.029,  0.03 ,         0.032,  0.035,  0.036,  0.04 ,  0.042,  0.044,  0.045,  0.046,         0.048,  0.05 ,  0.055,  0.06 ,  0.065,  0.067,  0.07 ,  0.075,         0.08 ,  0.085,  0.09 ,  0.095,  0.1  ,  0.11 ,  0.12 ,  0.13 ,         0.133,  0.14 ,  0.15 ,  0.16 ,  0.17 ,  0.18 ,  0.19 ,  0.2  ,         0.22 ,  0.24 ,  0.25 ,  0.26 ,  0.28 ,  0.29 ,  0.3  ,  0.32 ,         0.34 ,  0.35 ,  0.36 ,  0.38 ,  0.4  ,  0.42 ,  0.44 ,  0.45 ,         0.46 ,  0.48 ,  0.5  ,  0.55 ,  0.6  ,  0.65 ,  0.667,  0.7  ,         0.75 ,  0.8  ,  0.85 ,  0.9  ,  0.95 ,  1.   ,  1.1  ,  1.2  ,         1.3  ,  1.4  ,  1.5  ,  1.6  ,  1.7  ,  1.8  ,  1.9  ,  2.   ,         2.2  ,  2.4  ,  2.5  ,  2.6  ,  2.8  ,  3.   ,  3.2  ,  3.4  ,         3.5  ,  3.6  ,  3.8  ,  4.   ,  4.2  ,  4.4  ,  4.6  ,  4.8  ,         5.   ,  5.5  ,  6.   ,  6.5  ,  7.   ,  7.5  ,  8.   ,  8.5  ,         9.   ,  9.5  , 10.   ])

Indices of the periods

INDEX_PGV = 0

Index of the peak ground velocity

INDEX_PGA = 1

Index of the peak ground acceleration

INDICES_PSA = array([  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])

Indices for the spectral accelerations

LIMITS = {'dist_jb': (0.0, 300.0), 'mag': (3.0, 8.5), 'v_s30': (150.0, 1500.0)}

Limits of model applicability

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

classmethod calc_site_term(pga_ref: float, v_s30: float, depth_1_0: Optional[float], region: str = 'california') → Union[List[float], ndarray]

Calculate the site term, which includes site and basin effects.

Parameters

• pga_ref (float) – peak ground acceleration (g) at the reference condition. If np.nan, then no site term is applied.

• v_s30 (float) – site condition. Set v_s30 to the reference velocity (e.g., 1180 m/s) for the reference response.

• depth_1_0 (float) – depth to the 1.0 km∕s shear-wave velocity horizon beneath the site, \(Z_{1.0}\) in (km).

• region (str, optional) – region of basin model. Valid options: ‘california’, ‘japan’. If None, then ‘california’ is used as the default value.

Returns

site_term – site term that is applied to the natural log response.

Return type

np.ndarray

pygmm.campbell_2003 module

Model for the Campbell (2003) ground motion model.

class pygmm.campbell_2003.Campbell2003(scenario: Scenario)

Bases: GroundMotionModel

Campbell (2003, []) model.

This model was developed for the Eastern US.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Campbell (2003)'

Long name of the model

ABBREV = 'C03'

Short name of the model

V_REF = 2800.0

COEFF = rec.array([(0.01 ,  0.0305, 0.633, -0.0427, -1.591, -0.00428, 4.83e-04, 0.683, 0.416, 1.14 , -0.873, 1.03 , -0.086 , 0.414),            (0.02 ,  1.3535, 0.63 , -0.0404, -1.787, -0.00388, 4.97e-04, 1.02 , 0.363, 0.851, -0.715, 1.03 , -0.086 , 0.414),            (0.03 ,  1.186 , 0.622, -0.0362, -1.691, -0.00367, 5.01e-04, 0.922, 0.376, 0.759, -0.922, 1.03 , -0.086 , 0.414),            (0.05 ,  0.3736, 0.616, -0.0353, -1.469, -0.00378, 5.00e-04, 0.63 , 0.423, 0.771, -1.239, 1.042, -0.0838, 0.443),            (0.075, -0.0395, 0.615, -0.0353, -1.383, -0.00421, 4.86e-04, 0.491, 0.463, 0.955, -1.349, 1.052, -0.0838, 0.453),            (0.1  , -0.1475, 0.613, -0.0353, -1.369, -0.00454, 4.60e-04, 0.484, 0.467, 1.096, -1.284, 1.059, -0.0838, 0.46 ),            (0.15 , -0.1901, 0.616, -0.0478, -1.368, -0.00473, 3.93e-04, 0.461, 0.478, 1.239, -1.079, 1.068, -0.0838, 0.469),            (0.2  , -0.4328, 0.617, -0.0586, -1.32 , -0.0046 , 3.37e-04, 0.399, 0.493, 1.25 , -0.928, 1.077, -0.0838, 0.478),            (0.3  , -0.6906, 0.609, -0.0786, -1.28 , -0.00414, 2.63e-04, 0.349, 0.502, 1.241, -0.753, 1.081, -0.0838, 0.482),            (0.5  , -0.5907, 0.534, -0.1379, -1.216, -0.00341, 1.94e-04, 0.318, 0.503, 1.166, -0.606, 1.098, -0.0824, 0.508),            (0.75 , -0.5429, 0.48 , -0.1806, -1.184, -0.00288, 1.60e-04, 0.304, 0.504, 1.11 , -0.526, 1.105, -0.0806, 0.528),            (1.   , -0.6104, 0.451, -0.209 , -1.158, -0.00255, 1.41e-04, 0.299, 0.503, 1.067, -0.482, 1.11 , -0.0793, 0.543),            (1.5  , -0.9666, 0.441, -0.2405, -1.135, -0.00213, 1.19e-04, 0.304, 0.5  , 1.029, -0.438, 1.099, -0.0771, 0.547),            (2.   , -1.4306, 0.459, -0.2552, -1.124, -0.00187, 1.03e-04, 0.31 , 0.499, 1.015, -0.417, 1.093, -0.0758, 0.551),            (3.   , -2.2331, 0.492, -0.2646, -1.121, -0.00154, 8.40e-05, 0.31 , 0.499, 1.014, -0.393, 1.09 , -0.0737, 0.562),            (4.   , -2.7975, 0.507, -0.2738, -1.119, -0.00135, 7.40e-05, 0.294, 0.506, 1.018, -0.386, 1.092, -0.0722, 0.575)],           dtype=[('period', '<f8'), ('c_1', '<f8'), ('c_2', '<f8'), ('c_3', '<f8'), ('c_4', '<f8'), ('c_5', '<f8'), ('c_6', '<f8'), ('c_7', '<f8'), ('c_8', '<f8'), ('c_9', '<f8'), ('c_10', '<f8'), ('c_11', '<f8'), ('c_12', '<f8'), ('c_13', '<f8')])

PERIODS = array([0.01 , 0.02 , 0.03 , 0.05 , 0.075, 0.1  , 0.15 , 0.2  , 0.3  ,        0.5  , 0.75 , 1.   , 1.5  , 2.   , 3.   , 4.   ])

Indices of the periods

INDICES_PSA = array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15])

Indices for the spectral accelerations

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>]

Model parameters

pygmm.campbell_bozorgnia_2014 module

Model for the Campbell and Bozorgnia (2014) ground motion model.

class pygmm.campbell_bozorgnia_2014.CampbellBozorgnia2014(scenario: Scenario)

Bases: GroundMotionModel

Campbell and Bozorgnia (2014, []) model.

This model was developed for active tectonic regions as part of the NGA-West2 effort.

NAME = 'Campbell & Bozorgnia (2014)'

Long name of the model

ABBREV = 'CB14'

Short name of the model

V_REF = 1100.0

COEFF = rec.array([( 0.01 ,  -4.365, 0.977,  0.533, -1.485, -0.499, -2.773, 0.248, 6.753, 0, -0.214, 0.72 ,  1.094,  2.191, 1.416, -0.007 , -0.207, 0.39 ,  0.0981, 0.0334, 0.00755,  865, -1.186, 1.839, 0.168, 0.242, 1.471, -0.714, 1, -0.336, -0.27 , -0.0055, 0, -0.0035, 0.0036, 0.404, 0.325, 0.734, 0.492, 0.3, 0.166, 0.838, 0.854, 0.59 , 0.613, 1.   ),            ( 0.02 ,  -4.348, 0.976,  0.549, -1.488, -0.501, -2.772, 0.247, 6.502, 0, -0.208, 0.73 ,  1.149,  2.189, 1.453, -0.0167, -0.199, 0.387,  0.1009, 0.0327, 0.00759,  865, -1.219, 1.84 , 0.166, 0.244, 1.467, -0.711, 1, -0.339, -0.263, -0.0055, 0, -0.0035, 0.0036, 0.417, 0.326, 0.738, 0.496, 0.3, 0.166, 0.848, 0.864, 0.594, 0.617, 0.998),            ( 0.03 ,  -4.024, 0.931,  0.628, -1.494, -0.517, -2.782, 0.246, 6.291, 0, -0.213, 0.759,  1.29 ,  2.164, 1.476, -0.0422, -0.202, 0.378,  0.1095, 0.0331, 0.0079 ,  908, -1.273, 1.841, 0.167, 0.246, 1.467, -0.713, 1, -0.338, -0.259, -0.0057, 0, -0.0034, 0.0037, 0.446, 0.344, 0.747, 0.503, 0.3, 0.165, 0.87 , 0.886, 0.609, 0.631, 0.986),            ( 0.05 ,  -3.479, 0.887,  0.674, -1.388, -0.615, -2.791, 0.24 , 6.317, 0, -0.244, 0.826,  1.449,  2.138, 1.549, -0.0663, -0.339, 0.295,  0.1226, 0.027 , 0.00803, 1054, -1.346, 1.843, 0.173, 0.251, 1.449, -0.701, 1, -0.338, -0.263, -0.0063, 0, -0.0037, 0.004 , 0.508, 0.377, 0.777, 0.52 , 0.3, 0.162, 0.928, 0.942, 0.642, 0.662, 0.938),            ( 0.075,  -3.293, 0.902,  0.726, -1.469, -0.596, -2.745, 0.227, 6.861, 0, -0.266, 0.815,  1.535,  2.446, 1.772, -0.0794, -0.404, 0.322,  0.1165, 0.0288, 0.00811, 1086, -1.471, 1.845, 0.198, 0.26 , 1.435, -0.695, 1, -0.347, -0.219, -0.007 , 0, -0.0037, 0.0039, 0.504, 0.418, 0.782, 0.535, 0.3, 0.158, 0.93 , 0.943, 0.679, 0.697, 0.887),            ( 0.1  ,  -3.666, 0.993,  0.698, -1.572, -0.536, -2.633, 0.21 , 7.294, 0, -0.229, 0.831,  1.615,  2.969, 1.916, -0.0294, -0.416, 0.384,  0.0998, 0.0325, 0.00744, 1032, -1.624, 1.847, 0.174, 0.259, 1.449, -0.708, 1, -0.391, -0.201, -0.0073, 0, -0.0034, 0.0042, 0.445, 0.426, 0.769, 0.543, 0.3, 0.17 , 0.888, 0.904, 0.69 , 0.711, 0.87 ),            ( 0.15 ,  -4.866, 1.267,  0.51 , -1.669, -0.49 , -2.458, 0.183, 8.031, 0, -0.211, 0.749,  1.877,  3.544, 2.161,  0.0642, -0.407, 0.417,  0.076 , 0.0388, 0.00716,  878, -1.931, 1.852, 0.198, 0.254, 1.461, -0.715, 1, -0.449, -0.099, -0.0069, 0, -0.003 , 0.0042, 0.382, 0.387, 0.769, 0.543, 0.3, 0.18 , 0.859, 0.878, 0.667, 0.691, 0.876),            ( 0.2  ,  -5.411, 1.366,  0.447, -1.75 , -0.451, -2.421, 0.182, 8.385, 0, -0.163, 0.764,  2.069,  3.707, 2.465,  0.0968, -0.311, 0.404,  0.0571, 0.0437, 0.00688,  748, -2.188, 1.856, 0.204, 0.237, 1.484, -0.721, 1, -0.393, -0.198, -0.006 , 0, -0.0031, 0.0041, 0.339, 0.338, 0.761, 0.552, 0.3, 0.186, 0.833, 0.854, 0.647, 0.673, 0.87 ),            ( 0.25 ,  -5.962, 1.458,  0.274, -1.711, -0.404, -2.392, 0.189, 7.534, 0, -0.15 , 0.716,  2.205,  3.343, 2.766,  0.1441, -0.172, 0.466,  0.0437, 0.0463, 0.00556,  654, -2.381, 1.861, 0.185, 0.206, 1.581, -0.787, 1, -0.339, -0.21 , -0.0055, 0, -0.0033, 0.0036, 0.34 , 0.316, 0.744, 0.545, 0.3, 0.191, 0.818, 0.84 , 0.63 , 0.658, 0.85 ),            ( 0.3  ,  -6.403, 1.528,  0.193, -1.77 , -0.321, -2.376, 0.195, 6.99 , 0, -0.131, 0.737,  2.306,  3.334, 3.011,  0.1597, -0.084, 0.528,  0.0323, 0.0508, 0.00458,  587, -2.518, 1.865, 0.164, 0.21 , 1.586, -0.795, 1, -0.447, -0.121, -0.0049, 0, -0.0035, 0.0031, 0.34 , 0.3  , 0.727, 0.568, 0.3, 0.198, 0.803, 0.827, 0.642, 0.672, 0.819),            ( 0.4  ,  -7.566, 1.739, -0.02 , -1.594, -0.426, -2.303, 0.185, 7.012, 0, -0.159, 0.738,  2.398,  3.544, 3.203,  0.141 ,  0.085, 0.54 ,  0.0209, 0.0432, 0.00401,  503, -2.657, 1.874, 0.16 , 0.226, 1.544, -0.77 , 1, -0.525, -0.086, -0.0037, 0, -0.0034, 0.0028, 0.356, 0.264, 0.69 , 0.593, 0.3, 0.206, 0.776, 0.803, 0.649, 0.681, 0.743),            ( 0.5  ,  -8.379, 1.872, -0.121, -1.577, -0.44 , -2.296, 0.186, 6.902, 0, -0.153, 0.718,  2.355,  3.016, 3.333,  0.1474,  0.233, 0.638,  0.0092, 0.0405, 0.00388,  457, -2.669, 1.883, 0.184, 0.217, 1.554, -0.77 , 1, -0.407, -0.281, -0.0027, 0, -0.0034, 0.0025, 0.379, 0.263, 0.663, 0.611, 0.3, 0.208, 0.764, 0.792, 0.665, 0.697, 0.684),            ( 0.75 ,  -9.841, 2.021, -0.042, -1.757, -0.443, -2.232, 0.186, 5.522, 0, -0.09 , 0.795,  1.995,  2.616, 3.054,  0.1764,  0.411, 0.776, -0.0082, 0.042 , 0.0042 ,  410, -2.401, 1.906, 0.216, 0.154, 1.626, -0.78 , 1, -0.371, -0.285, -0.0016, 0, -0.0032, 0.0016, 0.43 , 0.326, 0.606, 0.633, 0.3, 0.221, 0.743, 0.775, 0.712, 0.746, 0.562),            ( 1.   , -11.011, 2.18 , -0.069, -1.707, -0.527, -2.158, 0.169, 5.65 , 0, -0.105, 0.556,  1.447,  2.47 , 2.562,  0.2593,  0.479, 0.771, -0.0131, 0.0426, 0.00409,  400, -1.955, 1.929, 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756, -0.0006, 0, -0.003 , 0.0006, 0.47 , 0.353, 0.579, 0.628, 0.3, 0.225, 0.746, 0.779, 0.72 , 0.754, 0.467),            ( 1.5  , -12.469, 2.27 ,  0.047, -1.621, -0.63 , -2.063, 0.158, 5.795, 0, -0.058, 0.48 ,  0.33 ,  2.108, 1.453,  0.2881,  0.566, 0.748, -0.0187, 0.038 , 0.00424,  400, -1.025, 1.974, 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756,  0.    , 0, -0.0019, 0.    , 0.497, 0.399, 0.541, 0.603, 0.3, 0.222, 0.735, 0.768, 0.723, 0.756, 0.364),            ( 2.   , -12.969, 2.271,  0.149, -1.512, -0.768, -2.104, 0.158, 6.632, 0, -0.028, 0.401, -0.514,  1.327, 0.657,  0.3112,  0.562, 0.763, -0.0258, 0.0252, 0.00448,  400, -0.299, 2.019, 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756,  0.    , 0, -0.0005, 0.    , 0.499, 0.4  , 0.529, 0.588, 0.3, 0.226, 0.727, 0.761, 0.711, 0.746, 0.298),            ( 3.   , -13.306, 2.15 ,  0.368, -1.315, -0.89 , -2.051, 0.148, 6.759, 0,  0.   , 0.206, -0.848,  0.601, 0.367,  0.3478,  0.534, 0.686, -0.0311, 0.0236, 0.00345,  400,  0.   , 2.11 , 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756,  0.    , 0,  0.    , 0.    , 0.5  , 0.417, 0.527, 0.578, 0.3, 0.229, 0.726, 0.761, 0.713, 0.749, 0.234),            ( 4.   , -14.02 , 2.132,  0.726, -1.506, -0.885, -1.986, 0.135, 7.978, 0,  0.   , 0.105, -0.793,  0.568, 0.306,  0.3747,  0.522, 0.691, -0.0413, 0.0102, 0.00603,  400,  0.   , 2.2  , 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756,  0.    , 0,  0.    , 0.    , 0.543, 0.393, 0.521, 0.559, 0.3, 0.237, 0.753, 0.789, 0.683, 0.723, 0.202),            ( 5.   , -14.558, 2.116,  1.027, -1.721, -0.878, -2.021, 0.135, 8.538, 0,  0.   , 0.   , -0.748,  0.356, 0.268,  0.3382,  0.477, 0.67 , -0.0281, 0.0034, 0.00805,  400,  0.   , 2.291, 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756,  0.    , 0,  0.    , 0.    , 0.534, 0.421, 0.502, 0.551, 0.3, 0.237, 0.733, 0.77 , 0.693, 0.732, 0.184),            ( 7.5  , -15.509, 2.223,  0.169, -0.756, -1.077, -2.179, 0.165, 8.468, 0,  0.   , 0.   , -0.664,  0.075, 0.374,  0.3754,  0.321, 0.757, -0.0205, 0.005 , 0.0028 ,  400,  0.   , 2.517, 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756,  0.    , 0,  0.    , 0.    , 0.523, 0.438, 0.457, 0.546, 0.3, 0.271, 0.695, 0.746, 0.7  , 0.751, 0.176),            (10.   , -15.975, 2.132,  0.367, -0.8  , -1.282, -2.244, 0.18 , 6.564, 0,  0.   , 0.   , -0.576, -0.027, 0.297,  0.3506,  0.174, 0.621,  0.0009, 0.0099, 0.00458,  400,  0.   , 2.744, 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756,  0.    , 0,  0.    , 0.    , 0.466, 0.438, 0.441, 0.543, 0.3, 0.29 , 0.642, 0.704, 0.698, 0.756, 0.154),            ( 0.   ,  -4.416, 0.984,  0.537, -1.499, -0.496, -2.773, 0.248, 6.768, 0, -0.212, 0.72 ,  1.09 ,  2.186, 1.42 , -0.0064, -0.202, 0.393,  0.0977, 0.0333, 0.00757,  865, -1.186, 1.839, 0.167, 0.241, 1.474, -0.715, 1, -0.337, -0.27 , -0.0055, 0, -0.0035, 0.0036, 0.409, 0.322, 0.734, 0.492, 0.3, 0.166, 0.84 , 0.856, 0.588, 0.611, 1.   ),            (-1.   ,  -2.895, 1.51 ,  0.27 , -1.299, -0.453, -2.466, 0.204, 5.837, 0, -0.168, 0.305,  1.713,  2.602, 2.457,  0.106 ,  0.332, 0.585,  0.0517, 0.0327, 0.00613,  400, -1.955, 1.929, 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756, -0.0017, 0, -0.0006, 0.0017, 0.317, 0.297, 0.655, 0.494, 0.3, 0.19 , 0.728, 0.752, 0.576, 0.607, 0.684)],           dtype=[('period', '<f8'), ('c_0', '<f8'), ('c_1', '<f8'), ('c_2', '<f8'), ('c_3', '<f8'), ('c_4', '<f8'), ('c_5', '<f8'), ('c_6', '<f8'), ('c_7', '<f8'), ('c_8', '<i8'), ('c_9', '<f8'), ('c_10', '<f8'), ('c_11', '<f8'), ('c_12', '<f8'), ('c_13', '<f8'), ('c_14', '<f8'), ('c_15', '<f8'), ('c_16', '<f8'), ('c_17', '<f8'), ('c_18', '<f8'), ('c_19', '<f8'), ('k_1', '<i8'), ('k_2', '<f8'), ('k_3', '<f8'), ('a_2', '<f8'), ('h_1', '<f8'), ('h_2', '<f8'), ('h_3', '<f8'), ('h_4', '<i8'), ('h_5', '<f8'), ('h_6', '<f8'), ('c_20', '<f8'), ('dc_20ca', '<i8'), ('dc_20jp', '<f8'), ('dc_20ch', '<f8'), ('tau_1', '<f8'), ('tau_2', '<f8'), ('phi_1', '<f8'), ('phi_2', '<f8'), ('phi_lnAF', '<f8'), ('phi_c', '<f8'), ('sigma_s', '<f8'), ('sigma_arbs', '<f8'), ('sigma_l', '<f8'), ('sigma_arbl', '<f8'), ('rho_lnPGAlnY', '<f8')])

PERIODS = array([ 0.01 ,  0.02 ,  0.03 ,  0.05 ,  0.075,  0.1  ,  0.15 ,  0.2  ,         0.25 ,  0.3  ,  0.4  ,  0.5  ,  0.75 ,  1.   ,  1.5  ,  2.   ,         3.   ,  4.   ,  5.   ,  7.5  , 10.   ,  0.   , -1.   ])

Indices of the periods

COEFF_C = 1.88

COEFF_N = 1.18

COEEF_H_4 = 1

INDICES_PSA = array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,        17, 18, 19, 20])

Indices for the spectral accelerations

INDEX_PGA = -2

Index of the peak ground acceleration

INDEX_PGV = -1

Index of the peak ground velocity

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

classmethod calc_site_term(pga_ref: float, v_s30: float, depth_2_5: float, region: str = 'california') → Union[List[float], ndarray]

Calculate the site term, which includes site and basin effects.

Parameters

• resp_ref (array_like, optional) – response at the reference condition

• v_s30 (float) – site condition. Set v_s30 to the reference velocity (e.g., 1180 m/s) for the reference response.

• depth_2_5 (float) – depth to the 2.5 km∕s shear-wave velocity horizon beneath the site, \(Z_{2.5}\) in (km).

• region (str, optional) – region of basin model. Valid options: “global”, “california”, “japan”, “italy”, “china”. If None, then “global” is used as the default value.

Returns

site_term – site term that is applied to the natural log response.

Return type

np.ndarray

static calc_depth_2_5(v_s30: float, region: str = 'global', depth_1_0: Optional[float] = None) → float

Calculate the depth to a shear-wave velocity of 2.5 km/sec (\(Z_{2.5}\)).

Provide either v_s30 or depth_1_0.

Parameters

• v_s30 (Optional[float]) – time-averaged shear-wave velocity over the top 30 m of the site (\(V_{s30}\), m/s). Keyword Args:

• region (Optional[str]) – region of the basin model. Valid values: “california”, “japan”. (Default value = ‘global’)

• depth_1_0 (Optional[float]) – depth to the 1.0 km∕s shear-wave velocity horizon beneath the site, \(Z_{1.0}\) in (km). (Default value = None)

Returns

• float – estimated depth to a shear-wave velocity of 2.5 km/sec

• float – estimated depth to a shear-wave velocity of 2.5 km/sec (km).

static calc_depth_hyp(mag: float, dip: float, depth_tor: float, depth_bor: float) → float

Estimate the depth to hypocenter.

Parameters

• mag (float) – moment magnitude of the event (\(M_w\))

• dip (float) – fault dip angle (\(\phi\), deg).

• depth_tor (float) – depth to the top of the rupture plane (\(Z_{tor}\), km).

• depth_bor (float) – depth to the bottom of the rupture plane (\(Z_{bor}\), km).

Returns

estimated hypocenter depth (km)

Return type

float

static calc_width(mag: float, dip: float, depth_tor: float, depth_bot: float = 15.0) → float

Estimate the fault width using Equation (39) of CB14.

Parameters

• mag (float) – moment magnitude of the event (\(M_w\))

• dip (float) – fault dip angle (\(\phi\), deg).

• depth_tor (float) – depth to the top of the rupture plane (\(Z_{tor}\), km). Keyword Args:

• depth_bot (Optional[float]) – depth to bottom of seismogenic crust (km). Used to calculate fault width if none is specified. If None, then a value of 15 km is used. (Default value = 15.0)

Returns

estimated fault width (km)

Return type

float

static calc_depth_bor(depth_tor: float, dip: float, width: float) → float

Compute the depth to bottom of the rupture (km).

Parameters

• dip (float) – fault dip angle (\(\phi\), deg).

• depth_tor (float) – depth to the top of the rupture plane (\(Z_{tor}\), km).

• width (float) – Down-dip width of the fault.

Returns

depth to bottom of the fault rupture (km)

Return type

float

pygmm.chiou_youngs_2014 module

Chiou and Youngs (2014, []) model.

class pygmm.chiou_youngs_2014.ChiouYoungs2014(scenario: Scenario)

Bases: GroundMotionModel

Chiou and Youngs (2014, []) model.

This model was developed for active tectonic regions as part of the NGA-West2 effort.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Chiou and Youngs (2014)'

Long name of the model

ABBREV = 'CY14'

Short name of the model

V_REF = 1130.0

COEFF = rec.array([( 0.01 , -1.5065, 0.165 , -0.255 , -0.165 , 0.255 , 1.06, 1.9636, -2.1, -0.5, 6.4551, 0.4908, 0.0352,  0.0462, 0.    , 0.2695, 0.4833, 0.9228, 0.1202, 6.8607, 0., -0.4536, 3.0956, 4.9993, 16.0875, 50, -0.007146, -0.006758, 4.2542, 1.5817, 0.7594, -0.521 , -0.6846, -0.1417, -0.00701 , 1.02151e-01, 0.    , 0.459 , 300, 800, 0.4   , 0.26  , 0.4912, 0.3762, 0.4528, 0.8   ),            ( 0.02 , -1.4798, 0.165 , -0.255 , -0.165 , 0.255 , 1.06, 1.9636, -2.1, -0.5, 6.4551, 0.4925, 0.0352,  0.0472, 0.    , 0.2695, 1.2144, 0.9296, 0.1217, 6.8697, 0., -0.4536, 3.0963, 4.9993, 15.7118, 50, -0.007249, -0.006758, 4.2386, 1.574 , 0.7606, -0.5055, -0.6681, -0.1364, -0.007279, 1.08360e-01, 0.    , 0.458 , 300, 800, 0.4026, 0.2637, 0.4904, 0.3762, 0.4551, 0.8   ),            ( 0.03 , -1.2972, 0.165 , -0.255 , -0.165 , 0.255 , 1.06, 1.9636, -2.1, -0.5, 6.4551, 0.4992, 0.0352,  0.0533, 0.    , 0.2695, 1.6421, 0.9396, 0.1194, 6.9113, 0., -0.4536, 3.0974, 4.9993, 15.8819, 50, -0.007869, -0.006758, 4.2519, 1.5544, 0.7642, -0.4368, -0.6314, -0.1403, -0.007354, 1.19888e-01, 0.    , 0.462 , 300, 800, 0.4063, 0.2689, 0.4988, 0.3849, 0.4571, 0.8   ),            ( 0.04 , -1.1007, 0.165 , -0.255 , -0.165 , 0.255 , 1.06, 1.9636, -2.1, -0.5, 6.4551, 0.5037, 0.0352,  0.0596, 0.    , 0.2695, 1.9456, 0.9661, 0.1166, 7.0271, 0., -0.4536, 3.0988, 4.9993, 16.4556, 50, -0.008316, -0.006758, 4.296 , 1.5502, 0.7676, -0.3752, -0.5855, -0.1591, -0.006977, 1.33641e-01, 0.    , 0.453 , 300, 800, 0.4095, 0.2736, 0.5049, 0.391 , 0.4642, 0.8   ),            ( 0.05 , -0.9292, 0.165 , -0.255 , -0.165 , 0.255 , 1.06, 1.9636, -2.1, -0.5, 6.4551, 0.5048, 0.0352,  0.0639, 0.    , 0.2695, 2.181 , 0.9794, 0.1176, 7.0959, 0., -0.4536, 3.1011, 4.9993, 17.6453, 50, -0.008743, -0.006758, 4.3578, 1.5391, 0.7739, -0.3469, -0.5457, -0.1862, -0.006467, 1.48927e-01, 0.    , 0.436 , 300, 800, 0.4124, 0.2777, 0.5096, 0.3957, 0.4716, 0.8   ),            ( 0.075, -0.658 , 0.165 , -0.254 , -0.165 , 0.254 , 1.06, 1.9636, -2.1, -0.5, 6.4551, 0.5048, 0.0352,  0.063 , 0.    , 0.2695, 2.6087, 1.026 , 0.1171, 7.3298, 0., -0.4536, 3.1094, 5.0031, 20.1772, 50, -0.009537, -0.00619 , 4.5455, 1.4804, 0.7956, -0.3747, -0.4685, -0.2538, -0.005734, 1.90596e-01, 0.    , 0.383 , 300, 800, 0.4179, 0.2855, 0.5179, 0.4043, 0.5022, 0.8   ),            ( 0.1  , -0.5613, 0.165 , -0.253 , -0.165 , 0.253 , 1.06, 1.9636, -2.1, -0.5, 6.8305, 0.5048, 0.0352,  0.0532, 0.    , 0.2695, 2.9122, 1.0177, 0.1146, 7.2588, 0., -0.4536, 3.2381, 5.0172, 19.9992, 50, -0.00983 , -0.005332, 4.7603, 1.4094, 0.7932, -0.444 , -0.4985, -0.2943, -0.005604, 2.30662e-01, 0.    , 0.375 , 300, 800, 0.4219, 0.2913, 0.5236, 0.4104, 0.523 , 0.8   ),            ( 0.12 , -0.5342, 0.165 , -0.252 , -0.165 , 0.252 , 1.06, 1.9795, -2.1, -0.5, 7.1333, 0.5048, 0.0352,  0.0452, 0.    , 0.2695, 3.1045, 1.0008, 0.1128, 7.2372, 0., -0.4536, 3.3407, 5.0315, 18.7106, 50, -0.009913, -0.004732, 4.8963, 1.3682, 0.7768, -0.4895, -0.5603, -0.3077, -0.005696, 2.53169e-01, 0.    , 0.377 , 300, 800, 0.4244, 0.2949, 0.527 , 0.4143, 0.5278, 0.8   ),            ( 0.15 , -0.5462, 0.165 , -0.25  , -0.165 , 0.25  , 1.06, 2.0362, -2.1, -0.5, 7.3621, 0.5045, 0.0352,  0.0345, 0.    , 0.2695, 3.3399, 0.9801, 0.1106, 7.2109, 0., -0.4536, 3.43  , 5.0547, 16.6246, 50, -0.009896, -0.003806, 5.0644, 1.3241, 0.7437, -0.5477, -0.6451, -0.3113, -0.005845, 2.66468e-01, 0.    , 0.379 , 300, 800, 0.4275, 0.2993, 0.5308, 0.4191, 0.5304, 0.8   ),            ( 0.17 , -0.5858, 0.165 , -0.248 , -0.165 , 0.248 , 1.06, 2.0823, -2.1, -0.5, 7.4365, 0.5036, 0.0352,  0.0283, 0.    , 0.2695, 3.4719, 0.9652, 0.115 , 7.2491, 0., -0.4536, 3.4688, 5.0704, 15.3709, 50, -0.009787, -0.00328 , 5.1371, 1.3071, 0.7219, -0.5922, -0.6981, -0.3062, -0.005959, 2.65060e-01, 0.    , 0.38  , 300, 800, 0.4292, 0.3017, 0.5328, 0.4217, 0.531 , 0.8   ),            ( 0.2  , -0.6798, 0.165 , -0.2449, -0.165 , 0.2449, 1.06, 2.1521, -2.1, -0.5, 7.4972, 0.5016, 0.0352,  0.0202, 0.    , 0.2695, 3.6434, 0.9459, 0.1208, 7.2988, 0., -0.444 , 3.5146, 5.0939, 13.7012, 50, -0.009505, -0.00269 , 5.188 , 1.2931, 0.6922, -0.6693, -0.7653, -0.2927, -0.006141, 2.55253e-01, 0.    , 0.384 , 300, 800, 0.4313, 0.3047, 0.5351, 0.4252, 0.5312, 0.8   ),            ( 0.25 , -0.8663, 0.165 , -0.2382, -0.165 , 0.2382, 1.06, 2.2574, -2.1, -0.5, 7.5416, 0.4971, 0.0352,  0.009 , 0.    , 0.2695, 3.8787, 0.9196, 0.1208, 7.3691, 0., -0.3539, 3.5746, 5.1315, 11.2667, 50, -0.008918, -0.002128, 5.2164, 1.315 , 0.6579, -0.7766, -0.8469, -0.2662, -0.006439, 2.31541e-01, 0.    , 0.393 , 300, 800, 0.4341, 0.3087, 0.5377, 0.4299, 0.5309, 0.7999),            ( 0.3  , -1.0514, 0.165 , -0.2313, -0.165 , 0.2313, 1.06, 2.344 , -2.1, -0.5, 7.56  , 0.4919, 0.0352, -0.0004, 0.    , 0.2695, 4.0711, 0.8829, 0.1175, 6.8789, 0., -0.2688, 3.6232, 5.167 ,  9.1908, 50, -0.008251, -0.001812, 5.1954, 1.3514, 0.6362, -0.8501, -0.8999, -0.2405, -0.006704, 2.07277e-01, 0.001 , 0.408 , 300, 800, 0.4363, 0.3119, 0.5395, 0.4338, 0.5307, 0.7997),            ( 0.4  , -1.3794, 0.165 , -0.2146, -0.165 , 0.2146, 1.06, 2.4709, -2.1, -0.5, 7.5735, 0.4807, 0.0352, -0.0155, 0.    , 0.2695, 4.3745, 0.8302, 0.106 , 6.5334, 0., -0.1793, 3.6945, 5.2317,  6.5459, 50, -0.007267, -0.001274, 5.0899, 1.4051, 0.6049, -0.9431, -0.9618, -0.1975, -0.007125, 1.65464e-01, 0.004 , 0.462 , 300, 800, 0.4396, 0.3165, 0.5422, 0.4399, 0.531 , 0.7988),            ( 0.5  , -1.6508, 0.165 , -0.1972, -0.165 , 0.1972, 1.06, 2.5567, -2.1, -0.5, 7.5778, 0.4707, 0.0352, -0.0278, 0.0991, 0.2695, 4.6099, 0.7884, 0.1061, 6.526 , 0., -0.1428, 3.7401, 5.2893,  5.2305, 50, -0.006492, -0.001074, 4.7854, 1.4402, 0.5507, -1.0044, -0.9945, -0.1633, -0.007435, 1.33828e-01, 0.01  , 0.524 , 300, 800, 0.4419, 0.3199, 0.5433, 0.4446, 0.5313, 0.7966),            ( 0.75 , -2.1511, 0.165 , -0.162 , -0.165 , 0.162 , 1.06, 2.6812, -2.1, -0.5, 7.5808, 0.4575, 0.0352, -0.0477, 0.1982, 0.2695, 5.0376, 0.6754, 0.1   , 6.5   , 0., -0.1138, 3.7941, 5.4109,  3.7896, 50, -0.005147, -0.001115, 4.3304, 1.528 , 0.3582, -1.0602, -1.0225, -0.1028, -0.00812 , 8.51530e-02, 0.034 , 0.658 , 300, 800, 0.4459, 0.3255, 0.5294, 0.4533, 0.5309, 0.7792),            ( 1.   , -2.5365, 0.165 , -0.14  , -0.165 , 0.14  , 1.06, 2.7474, -2.1, -0.5, 7.5814, 0.4522, 0.0352, -0.0559, 0.2154, 0.2695, 5.3411, 0.6196, 0.1   , 6.5   , 0., -0.1062, 3.8144, 5.5106,  3.3024, 50, -0.004277, -0.001197, 4.1667, 1.6523, 0.2003, -1.0941, -1.0002, -0.0699, -0.008444, 5.85950e-02, 0.067 , 0.78  , 300, 800, 0.4484, 0.3291, 0.5105, 0.4594, 0.5302, 0.7504),            ( 1.5  , -3.0686, 0.165 , -0.1184, -0.165 , 0.1184, 1.06, 2.8161, -2.1, -0.5, 7.5817, 0.4501, 0.0352, -0.063 , 0.2154, 0.2695, 5.7688, 0.5101, 0.1   , 6.5   , 0., -0.102 , 3.8284, 5.6705,  2.8498, 50, -0.002979, -0.001675, 4.0029, 1.8872, 0.0356, -1.1142, -0.9245, -0.0425, -0.007707, 3.17870e-02, 0.143 , 0.96  , 300, 800, 0.4515, 0.3335, 0.4783, 0.468 , 0.5276, 0.7136),            ( 2.   , -3.4148, 0.1645, -0.11  , -0.1645, 0.11  , 1.06, 2.8514, -2.1, -0.5, 7.5818, 0.45  , 0.0352, -0.0665, 0.2154, 0.2695, 6.0723, 0.3917, 0.1   , 6.5   , 0., -0.1009, 3.833 , 5.7981,  2.5417, 50, -0.002301, -0.002349, 3.8949, 2.1348, 0.    , -1.1154, -0.8626, -0.0302, -0.004792, 1.97160e-02, 0.203 , 1.11  , 300, 800, 0.4534, 0.3363, 0.4681, 0.4681, 0.5167, 0.7035),            ( 3.   , -3.9013, 0.1168, -0.104 , -0.1168, 0.104 , 1.06, 2.8875, -2.1, -0.5, 7.5818, 0.45  , 0.016 , -0.0516, 0.2154, 0.2695, 6.5   , 0.1244, 0.1   , 6.5   , 0., -0.1003, 3.8361, 5.9983,  2.1488, 50, -0.001344, -0.003306, 3.7928, 3.5752, 0.    , -1.1081, -0.7882, -0.0129, -0.001828, 9.64300e-03, 0.277 , 1.291 , 300, 800, 0.4558, 0.3398, 0.4617, 0.4617, 0.4917, 0.7006),            ( 4.   , -4.2466, 0.0732, -0.102 , -0.0732, 0.102 , 1.06, 2.9058, -2.1, -0.5, 7.5818, 0.45  , 0.0062, -0.0448, 0.2154, 0.2695, 6.8035, 0.0086, 0.1   , 6.5   , 0., -0.1001, 3.8369, 6.1552,  1.8957, 50, -0.001084, -0.003566, 3.7443, 3.8646, 0.    , -1.0603, -0.7195, -0.0016, -0.001523, 5.37900e-03, 0.309 , 1.387 , 300, 800, 0.4574, 0.3419, 0.4571, 0.4571, 0.4682, 0.7001),            ( 5.   , -4.5143, 0.0484, -0.101 , -0.0484, 0.101 , 1.06, 2.9169, -2.1, -0.5, 7.5818, 0.45  , 0.0029, -0.0424, 0.2154, 0.2695, 7.0389, 0.    , 0.1   , 6.5   , 0., -0.1001, 3.8376, 6.2856,  1.7228, 50, -0.00101 , -0.00364 , 3.709 , 3.7292, 0.    , -0.9872, -0.656 ,  0.    , -0.00144 , 3.22300e-03, 0.321 , 1.433 , 300, 800, 0.4584, 0.3435, 0.4535, 0.4535, 0.4517, 0.7   ),            ( 7.5  , -5.0009, 0.022 , -0.101 , -0.022 , 0.101 , 1.06, 2.932 , -2.1, -0.5, 7.5818, 0.45  , 0.0007, -0.0348, 0.2154, 0.2695, 7.4666, 0.    , 0.1   , 6.5   , 0., -0.1   , 3.838 , 6.5428,  1.5737, 50, -0.000964, -0.003686, 3.6632, 2.3763, 0.    , -0.8274, -0.5202,  0.    , -0.001369, 1.13400e-03, 0.329 , 1.46  , 300, 800, 0.4601, 0.3459, 0.4471, 0.4471, 0.4167, 0.7   ),            (10.   , -5.3461, 0.0124, -0.1   , -0.0124, 0.1   , 1.06, 2.9396, -2.1, -0.5, 7.5818, 0.45  , 0.0003, -0.0253, 0.2154, 0.2695, 7.77  , 0.    , 0.1   , 6.5   , 0., -0.1   , 3.838 , 6.7415,  1.5265, 50, -0.00095 , -0.0037  , 3.623 , 1.7679, 0.    , -0.7053, -0.4068,  0.    , -0.001361, 5.15000e-04, 0.33  , 1.464 , 300, 800, 0.4612, 0.3474, 0.4426, 0.4426, 0.3755, 0.7   ),            ( 0.   , -1.5065, 0.165 , -0.255 , -0.165 , 0.255 , 1.06, 1.9636, -2.1, -0.5, 6.4551, 0.4908, 0.0352,  0.0462, 0.    , 0.2695, 0.4833, 0.9228, 0.1202, 6.8607, 0., -0.4536, 3.0956, 4.9993, 16.0875, 50, -0.007146, -0.006758, 4.2542, 1.5817, 0.7594, -0.521 , -0.6846, -0.1417, -0.00701 , 1.02151e-01, 0.    , 0.459 , 300, 800, 0.4   , 0.26  , 0.4912, 0.3762, 0.4528, 0.8   ),            (-1.   ,  2.3549, 0.165 , -0.0626, -0.165 , 0.0626, 1.06, 2.3152, -2.1, -0.5, 5.8096, 0.4407, 0.0324,  0.0097, 0.2154, 0.2695, 5.    , 0.3079, 0.1   , 6.5   , 0., -0.3834, 3.0514, 5.423 ,  3.3024, 50, -0.001852, -0.007403, 4.3439, 2.2306, 0.335 , -0.7936, -0.7966, -0.0699, -0.008444, 5.41000e+00, 0.0202, 0.9488, 300, 800, 0.3894, 0.2578, 0.4785, 0.3629, 0.3918, 0.7504)],           dtype=[('period', '<f8'), ('c_1', '<f8'), ('c_1a', '<f8'), ('c_1b', '<f8'), ('c_1c', '<f8'), ('c_1d', '<f8'), ('c_2', '<f8'), ('c_3', '<f8'), ('c_4', '<f8'), ('c_4a', '<f8'), ('c_5', '<f8'), ('c_6', '<f8'), ('c_7', '<f8'), ('c_7b', '<f8'), ('c_8', '<f8'), ('c_8a', '<f8'), ('c_8b', '<f8'), ('c_9', '<f8'), ('c_9a', '<f8'), ('c_9b', '<f8'), ('c_11', '<f8'), ('c_11b', '<f8'), ('c_hm', '<f8'), ('c_m', '<f8'), ('c_n', '<f8'), ('c_rb', '<i8'), ('c_gamma1', '<f8'), ('c_gamma2', '<f8'), ('c_gamma3', '<f8'), ('gamma_ji', '<f8'), ('gamma_c', '<f8'), ('phi_1', '<f8'), ('phi_1jp', '<f8'), ('phi_2', '<f8'), ('phi_3', '<f8'), ('phi_4', '<f8'), ('phi_5', '<f8'), ('phi_5jp', '<f8'), ('phi_6', '<i8'), ('phi_6jp', '<i8'), ('tau_1', '<f8'), ('tau_2', '<f8'), ('sigma_1', '<f8'), ('sigma_2', '<f8'), ('sigma_2jp', '<f8'), ('sigma_3', '<f8')])

PERIODS = array([ 0.01 ,  0.02 ,  0.03 ,  0.04 ,  0.05 ,  0.075,  0.1  ,  0.12 ,         0.15 ,  0.17 ,  0.2  ,  0.25 ,  0.3  ,  0.4  ,  0.5  ,  0.75 ,         1.   ,  1.5  ,  2.   ,  3.   ,  4.   ,  5.   ,  7.5  , 10.   ,         0.   , -1.   ])

Indices of the periods

INDICES_PSA = array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,        17, 18, 19, 20, 21, 22, 23])

Indices for the spectral accelerations

INDEX_PGA = 24

Index of the peak ground acceleration

INDEX_PGV = 25

Index of the peak ground velocity

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

classmethod calc_site_term(resp_ref: Union[List[float], ndarray], v_s30: float, depth_1_0: float, region: Optional[str]) → Union[List[float], ndarray]

Calculate the site term, which includes site and basin effects.

Parameters

• resp_ref (np.array) – natural logarithm of the response at the reference site condition at each of the periods specified by the model coefficients.

• v_s30 (float) – site condition. Set v_s30 to the reference velocity (e.g., 1180 m/s) for the reference response.

• depth_1_0 (float) – depth to the 1.0 km∕s shear-wave velocity horizon beneath the site, \(Z_{1.0}\) in (km).

• region (str, optional) – region of basin model. Valid options: ‘california’, ‘japan’. If None, then ‘california’ is used as the default value.

Returns

site_term – site term that is applied to the natural log response.

Return type

np.ndarray

static calc_depth_1_0(v_s30: float, region: str) → float

Calculate the depth to 1 km/sec (\(Z_{1.0}\)).

Parameters

• v_s30 (float) – time-averaged shear-wave velocity over the top 30 m of the site (\(V_{s30}\), m/s).

• region (str) – basin region. Valid options: “california”, “japan”

Returns

depth_1_0 – estimated depth to a shear-wave velocity of 1 km/sec (km)

Return type

float

static calc_depth_tor(mag: float, mechanism: str) → float

Calculate an estimate of the depth to top of rupture (km).

Parameters

• mag (float) – moment magnitude of the event (\(M_w\))

• mechanism (str) – fault mechanism. Valid options: “U”, “SS”, “NS”, “RS”.

Returns

depth_tor – estimated depth to top of rupture (km)

Return type

float

pygmm.derras_bard_cotton_2014 module

Derras, Bard and Cotton (2014, []) model.

class pygmm.derras_bard_cotton_2014.DerrasBardCotton2014(scenario: Scenario)

Bases: GroundMotionModel

Derras, Bard and Cotton (2014, []) model.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Derras, Bard & Cotton (2014)'

Long name of the model

ABBREV = 'DBC13'

Short name of the model

COEFF = {'b_1': [-1.271232488, 1.512611028, 0.591089009, -0.126622688, -0.415721222], 'b_2': [-0.076472745, -0.143493078, -0.141251167, -0.1402921, -0.142446238, -0.169403545, -0.168605778, -0.154859216, -0.169019709, -0.176613627, -0.170419807, -0.169012965, -0.163928953, -0.174008354, -0.194478386, -0.200801472, -0.203141294, -0.212134795, -0.214788445, -0.214182427, -0.213932639, -0.212008293, -0.227037484, -0.246738859, -0.24795058, -0.2518272, -0.212879565, -0.215512278, -0.232808829, -0.242614348, -0.230743172, -0.219657843, -0.210397231, -0.197795308, -0.160530216, -0.140822986, -0.107838684, -0.094014862, -0.073895337, -0.05799372, -0.042284114, -0.043692208, -0.027928475, -0.005401146, 0.01643085, 0.056436981, 0.076415498, 0.080005285, 0.07403565, 0.09299877, 0.098090915, 0.094946234, 0.087002098, 0.080633932, 0.091510963, 0.09495708, 0.095220431, 0.086504663, 0.080948314, 0.069604068, 0.059710513, 0.051176846, 0.053684364, 0.056169376], 'log10_std': {'between': [0.149, 0.155, 0.155, 0.157, 0.16, 0.162, 0.163, 0.165, 0.168, 0.17, 0.17, 0.169, 0.17, 0.169, 0.168, 0.168, 0.167, 0.165, 0.164, 0.164, 0.164, 0.163, 0.161, 0.161, 0.163, 0.164, 0.165, 0.166, 0.165, 0.165, 0.164, 0.164, 0.164, 0.164, 0.165, 0.166, 0.166, 0.166, 0.167, 0.166, 0.165, 0.166, 0.167, 0.168, 0.17, 0.172, 0.174, 0.177, 0.179, 0.18, 0.181, 0.183, 0.185, 0.184, 0.186, 0.186, 0.187, 0.188, 0.189, 0.19, 0.19, 0.189, 0.188, 0.188], 'total': [0.298, 0.309, 0.31, 0.313, 0.319, 0.323, 0.325, 0.328, 0.335, 0.338, 0.338, 0.337, 0.338, 0.337, 0.335, 0.334, 0.333, 0.33, 0.328, 0.328, 0.326, 0.325, 0.322, 0.322, 0.326, 0.328, 0.329, 0.33, 0.33, 0.329, 0.327, 0.328, 0.328, 0.327, 0.33, 0.331, 0.332, 0.332, 0.332, 0.331, 0.33, 0.331, 0.333, 0.335, 0.339, 0.343, 0.346, 0.353, 0.356, 0.359, 0.362, 0.365, 0.368, 0.368, 0.37, 0.37, 0.373, 0.375, 0.377, 0.378, 0.378, 0.376, 0.375, 0.375], 'within': [0.258, 0.267, 0.268, 0.27, 0.276, 0.279, 0.281, 0.284, 0.29, 0.293, 0.292, 0.292, 0.293, 0.292, 0.29, 0.289, 0.288, 0.285, 0.284, 0.284, 0.282, 0.281, 0.279, 0.279, 0.282, 0.284, 0.285, 0.286, 0.285, 0.284, 0.283, 0.283, 0.284, 0.283, 0.285, 0.286, 0.287, 0.287, 0.287, 0.287, 0.285, 0.286, 0.288, 0.29, 0.293, 0.297, 0.299, 0.305, 0.308, 0.31, 0.313, 0.316, 0.319, 0.319, 0.32, 0.32, 0.323, 0.324, 0.326, 0.327, 0.327, 0.326, 0.325, 0.324]}, 'min_max': {'depth_hyp': [0.0, 25.0], 'log10_dist_jb': [-1.0, 2.738], 'log10_resp': [[-3.849485002, -0.060923911], [-2.979303657, 0.98101835], [-2.985196725, 0.99145166], [-2.986059277, 1.007712442], [-2.984175815, 1.08949524], [-2.982552276, 1.156662115], [-2.956637722, 1.157095399], [-2.945980456, 1.260733107], [-2.936307635, 1.410814288], [-2.932216636, 1.457727792], [-2.930531138, 1.444991459], [-2.928542596, 1.453062036], [-2.919667313, 1.385037364], [-2.911697131, 1.471769235], [-2.8705569, 1.489542018], [-2.85933557, 1.490888494], [-2.873058765, 1.486617287], [-2.850059029, 1.50374993], [-2.834673005, 1.535394915], [-2.781647452, 1.409036446], [-2.758712763, 1.261319049], [-2.767214299, 1.232880087], [-2.753912978, 1.267300559], [-2.685249329, 1.269455682], [-2.699180576, 1.248427106], [-2.657061356, 1.26168743], [-2.743779615, 1.245493493], [-2.719549792, 1.212558872], [-2.667871945, 1.206737632], [-2.619043181, 1.183978702], [-2.667081411, 1.188206731], [-2.715295253, 1.187534293], [-2.744937774, 1.195017056], [-2.791616858, 1.162867247], [-2.908517633, 1.149294497], [-2.952789244, 1.226266131], [-3.002621528, 1.174170755], [-3.090715515, 1.128224702], [-3.186100033, 1.052990942], [-3.242837714, 1.035664147], [-3.309818391, 1.006674652], [-3.347867863, 1.022366733], [-3.376363292, 0.993946952], [-3.411540737, 0.96655149], [-3.499349533, 0.88712674], [-3.59867812, 0.786452684], [-3.699971186, 0.773370902], [-3.787935025, 0.749136058], [-3.858485145, 0.780103015], [-3.919735723, 0.735773313], [-3.986529186, 0.64299905], [-4.037034701, 0.610951381], [-4.084673593, 0.59822423], [-4.123668528, 0.587317187], [-4.238777883, 0.494881369], [-4.343911322, 0.437831896], [-4.425698673, 0.419551103], [-4.470029056, 0.427769901], [-4.531743129, 0.455067137], [-4.600329725, 0.466260482], [-4.644941317, 0.475656195], [-4.694669918, 0.47363989], [-4.750844723, 0.467695635], [-4.79929973, 0.444726741]], 'log10_v_s30': [1.9638, 3.2035], 'mag': [3.6, 7.6], 'mechanism': [1.0, 4.0]}, 'period': [-1, 0, 0.01, 0.02, 0.03, 0.04, 0.05, 0.075, 0.1, 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.22, 0.24, 0.26, 0.28, 0.3, 0.32, 0.34, 0.36, 0.38, 0.4, 0.42, 0.44, 0.46, 0.48, 0.5, 0.55, 0.6, 0.65, 0.7, 0.75, 0.8, 0.85, 0.9, 0.95, 1, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2, 2.2, 2.4, 2.6, 2.8, 3, 3.2, 3.4, 3.6, 3.8, 4], 'w_1': [[2.647891635, -1.07021796, 0.174087758, 0.092191287, -0.013763679], [-1.908675436, -0.535017369, -0.705141623, 0.167611583, -0.02661049], [0.203542143, 1.780557636, -0.080494591, 0.013596356, 0.061508209], [-0.692737498, 0.441505232, 0.775579973, -0.031717733, -0.16306571], [0.016162821, 0.218141339, -1.606099447, -0.041636256, 0.026057983]], 'w_2': [[-0.510826776, 0.070554779, 0.220914175, 0.168815839, 0.170928164], [-0.54101415, 0.254251327, 0.109777617, 0.075959095, -0.020347572], [-0.539773537, 0.254301257, 0.107974037, 0.074881998, -0.021585429], [-0.539375931, 0.248942044, 0.099446671, 0.081987137, -0.017662836], [-0.537208413, 0.240441278, 0.083145677, 0.087421772, -0.018053459], [-0.520634258, 0.229422592, 0.064081989, 0.087723565, -0.026990211], [-0.536143529, 0.237932202, 0.052958747, 0.079850429, -0.040505524], [-0.554628064, 0.271755601, 0.050356632, 0.055594074, -0.076045335], [-0.532266517, 0.291446897, 0.064617059, 0.055270794, -0.09645035], [-0.521512879, 0.29658671, 0.069576025, 0.056273712, -0.099062435], [-0.5198772, 0.301189055, 0.074326652, 0.054844753, -0.10296585], [-0.514898774, 0.30375476, 0.081772384, 0.055068191, -0.102310668], [-0.516215894, 0.313439795, 0.091938911, 0.052380539, -0.102390682], [-0.4979795, 0.317018727, 0.102152195, 0.049835913, -0.09816729], [-0.493176711, 0.327007863, 0.11418295, 0.049209182, -0.094872584], [-0.485747878, 0.331253599, 0.127205614, 0.046418473, -0.091736341], [-0.478191252, 0.335381467, 0.137325066, 0.044229522, -0.088439399], [-0.472577837, 0.335355736, 0.144140467, 0.044729064, -0.083059358], [-0.460675639, 0.331629622, 0.148101401, 0.05134718, -0.074474238], [-0.455401286, 0.345362019, 0.168485452, 0.057154914, -0.06449186], [-0.45629014, 0.359907531, 0.19163738, 0.058118391, -0.055195467], [-0.448942858, 0.352037712, 0.206011412, 0.061961861, -0.044676346], [-0.437033339, 0.340535007, 0.214707559, 0.064792403, -0.031257631], [-0.449973961, 0.343550607, 0.23202436, 0.066267603, -0.021772794], [-0.435914287, 0.327845458, 0.237413306, 0.068819597, -0.011293778], [-0.42465784, 0.321408865, 0.247731596, 0.077612939, 0.002352304], [-0.415678041, 0.314753909, 0.255990159, 0.081865016, 0.015181998], [-0.415314256, 0.31326253, 0.266736228, 0.090005027, 0.027379773], [-0.414839332, 0.313509014, 0.276335858, 0.101142858, 0.0395314], [-0.418038972, 0.304164889, 0.279426675, 0.109541013, 0.055573293], [-0.412223333, 0.294185023, 0.28018961, 0.10824389, 0.065720829], [-0.405732831, 0.287156033, 0.283138956, 0.108857627, 0.074589338], [-0.404244295, 0.282654061, 0.289679834, 0.110693756, 0.082047467], [-0.398349555, 0.275134246, 0.293426945, 0.11309985, 0.091428891], [-0.382933503, 0.253450948, 0.297505456, 0.122089801, 0.115887837], [-0.373349488, 0.240256546, 0.303362656, 0.136961296, 0.139021525], [-0.373729759, 0.228657553, 0.312794291, 0.14701375, 0.160696896], [-0.359574788, 0.213839065, 0.31311436, 0.151168709, 0.17805053], [-0.345784509, 0.197187139, 0.311285387, 0.158730867, 0.193066308], [-0.341037761, 0.18153626, 0.315005438, 0.166201307, 0.206400745], [-0.336228384, 0.171930075, 0.320637744, 0.170489, 0.214822499], [-0.33108553, 0.161317428, 0.322442037, 0.17349243, 0.222366883], [-0.32867094, 0.149886402, 0.323389852, 0.176411536, 0.229013406], [-0.323017173, 0.137567256, 0.32307006, 0.180835711, 0.230941347], [-0.318080249, 0.124328971, 0.331785162, 0.188006751, 0.238824085], [-0.314220923, 0.115845087, 0.342820043, 0.196252312, 0.246883255], [-0.310585172, 0.101115508, 0.345417663, 0.202331199, 0.251746491], [-0.30818647, 0.084023406, 0.341089481, 0.200767673, 0.250394494], [-0.306686047, 0.07470381, 0.3420609, 0.202142239, 0.245542794], [-0.313876883, 0.071033507, 0.355192942, 0.204450416, 0.244608387], [-0.314688542, 0.061555107, 0.356189983, 0.205736257, 0.242747231], [-0.315962674, 0.049823613, 0.354471767, 0.201790944, 0.236930639], [-0.313927933, 0.042350961, 0.353760318, 0.199163146, 0.233971037], [-0.311733532, 0.038001598, 0.35386736, 0.200105369, 0.233066656], [-0.320665749, 0.017504398, 0.355023584, 0.200108312, 0.232755627], [-0.321798843, 0.003176592, 0.352301716, 0.204816304, 0.233308677], [-0.322225722, -0.004659656, 0.353407995, 0.207387911, 0.229388839], [-0.322062703, -0.015891113, 0.347245916, 0.209002388, 0.228579043], [-0.323754946, -0.022829634, 0.345746481, 0.208617193, 0.229073638], [-0.326085151, -0.025158168, 0.346081206, 0.206000081, 0.228036961], [-0.326322457, -0.028077633, 0.344256668, 0.202713665, 0.222630727], [-0.328791942, -0.033029489, 0.343646922, 0.200033424, 0.219921594], [-0.330966628, -0.03828204, 0.343568322, 0.201457449, 0.219779751], [-0.331991914, -0.041837648, 0.344006313, 0.203514758, 0.220175879]]}

GRAVITY = 9.80665

PERIODS = array([-1.   ,  0.   ,  0.01 ,  0.02 ,  0.03 ,  0.04 ,  0.05 ,  0.075,         0.1  ,  0.11 ,  0.12 ,  0.13 ,  0.14 ,  0.15 ,  0.16 ,  0.17 ,         0.18 ,  0.19 ,  0.2  ,  0.22 ,  0.24 ,  0.26 ,  0.28 ,  0.3  ,         0.32 ,  0.34 ,  0.36 ,  0.38 ,  0.4  ,  0.42 ,  0.44 ,  0.46 ,         0.48 ,  0.5  ,  0.55 ,  0.6  ,  0.65 ,  0.7  ,  0.75 ,  0.8  ,         0.85 ,  0.9  ,  0.95 ,  1.   ,  1.1  ,  1.2  ,  1.3  ,  1.4  ,         1.5  ,  1.6  ,  1.7  ,  1.8  ,  1.9  ,  2.   ,  2.2  ,  2.4  ,         2.6  ,  2.8  ,  3.   ,  3.2  ,  3.4  ,  3.6  ,  3.8  ,  4.   ])

Indices of the periods

INDICES_PSA = array([ 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])

Indices for the spectral accelerations

INDEX_PGA = 1

Index of the peak ground acceleration

INDEX_PGV = 0

Index of the peak ground velocity

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

pygmm.gulerce_abrahamson_2011 module

Gülerce and Abrahamson (2011, []) V/H model.

class pygmm.gulerce_abrahamson_2011.GulerceAbrahamson2011(*args, **kwargs)

Bases: Model

Gülerce and Abrahamson (2011, []) V/H model.

This model was developed for active tectonic regions.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Gülerce & Abrahamson (2011)'

Long name of the model

ABBREV = 'GA11'

Short name of the model

V_REF = 1100.0

COEFF = rec.array([( 0.   ,  865.1, -1.186, 1.88, 1.18, 6.75, 10,  0.14 , -0.16 , 0.0147, 0.0334, -0.034, -0.105, 0.   ,  0.003, -1.23 , 0.422, 0.333, 0.213, 0.161),            (-1.   ,  400. , -1.955, 1.88, 1.18, 6.75, 10, -1.2  ,  0.09 , 0.0147, 0.0334, -0.034,  0.05 , 0.15 ,  0.022, -1.847, 0.373, 0.369, 0.234, 0.17 ),            ( 0.01 ,  865.1, -1.186, 1.88, 1.18, 6.75, 10,  0.14 , -0.16 , 0.0147, 0.0334, -0.034, -0.105, 0.   ,  0.003, -1.23 , 0.45 , 0.33 , 0.23 , 0.15 ),            ( 0.02 ,  865.1, -1.219, 1.88, 1.18, 6.75, 10,  0.14 , -0.16 , 0.0147, 0.0334, -0.034, -0.105, 0.   ,  0.003, -1.268, 0.45 , 0.33 , 0.23 , 0.15 ),            ( 0.029,  898.6, -1.269, 1.88, 1.18, 6.75, 10,  0.335, -0.185, 0.0147, 0.0334, -0.034, -0.14 , 0.   ,  0.003, -1.366, 0.45 , 0.33 , 0.23 , 0.15 ),            ( 0.04 ,  994.5, -1.308, 1.88, 1.18, 6.75, 10,  0.562, -0.238, 0.0147, 0.0334, -0.034, -0.16 , 0.   ,  0.003, -1.457, 0.45 , 0.341, 0.23 , 0.15 ),            ( 0.05 , 1053.5, -1.346, 1.88, 1.18, 6.75, 10,  0.72 , -0.275, 0.0147, 0.0334, -0.034, -0.136, 0.   , -0.001, -1.533, 0.45 , 0.351, 0.23 , 0.15 ),            ( 0.075, 1085.7, -1.471, 1.88, 1.18, 6.75, 10,  0.552, -0.24 , 0.0147, 0.0334, -0.034, -0.019, 0.   , -0.007, -1.706, 0.45 , 0.37 , 0.23 , 0.15 ),            ( 0.1  , 1032.5, -1.624, 1.88, 1.18, 6.75, 10,  0.214, -0.169, 0.0147, 0.0334, -0.034,  0.   , 0.017, -0.01 , -1.831, 0.45 , 0.384, 0.23 , 0.15 ),            ( 0.15 ,  877.6, -1.931, 1.88, 1.18, 6.75, 10, -0.262, -0.069, 0.0147, 0.0334, -0.034,  0.   , 0.04 , -0.008, -2.114, 0.45 , 0.403, 0.23 , 0.15 ),            ( 0.2  ,  748.2, -2.188, 1.88, 1.18, 6.75, 10, -0.6  ,  0.002, 0.0147, 0.0334, -0.034,  0.   , 0.057, -0.003, -2.362, 0.45 , 0.416, 0.23 , 0.15 ),            ( 0.26 ,  639. , -2.412, 1.88, 1.18, 6.75, 10, -0.769,  0.023, 0.0147, 0.0334, -0.034,  0.   , 0.072,  0.001, -2.527, 0.45 , 0.429, 0.23 , 0.15 ),            ( 0.3  ,  587.1, -2.518, 1.88, 1.18, 6.75, 10, -0.861,  0.034, 0.0147, 0.0334, -0.034,  0.   , 0.08 ,  0.006, -2.598, 0.45 , 0.436, 0.23 , 0.15 ),            ( 0.4  ,  503. , -2.657, 1.88, 1.18, 6.75, 10, -1.045,  0.057, 0.0147, 0.0334, -0.034,  0.   , 0.097,  0.015, -2.685, 0.45 , 0.449, 0.23 , 0.15 ),            ( 0.5  ,  456.6, -2.669, 1.88, 1.18, 6.75, 10, -1.189,  0.075, 0.0147, 0.0334, -0.034,  0.   , 0.11 ,  0.022, -2.657, 0.45 , 0.46 , 0.23 , 0.15 ),            ( 0.75 ,  410.5, -2.401, 1.88, 1.18, 6.75, 10, -1.25 ,  0.09 , 0.0147, 0.0334, -0.034,  0.   , 0.133,  0.022, -2.265, 0.45 , 0.479, 0.237, 0.15 ),            ( 1.   ,  400. , -1.955, 1.88, 1.18, 6.75, 10, -1.209,  0.09 , 0.0147, 0.0334, -0.034,  0.   , 0.15 ,  0.022, -1.685, 0.45 , 0.492, 0.266, 0.15 ),            ( 1.5  ,  400. , -1.025, 1.88, 1.18, 6.75, 10, -1.152,  0.09 , 0.0147, 0.0334, -0.034,  0.029, 0.15 ,  0.022, -0.57 , 0.45 , 0.511, 0.307, 0.15 ),            ( 2.   ,  400. , -0.299, 1.88, 1.18, 6.75, 10, -1.111,  0.09 , 0.0147, 0.0334, -0.034,  0.05 , 0.15 ,  0.022,  0.25 , 0.532, 0.52 , 0.337, 0.15 ),            ( 3.   ,  400. ,  0.   , 1.88, 1.18, 6.75, 10, -1.054,  0.09 , 0.0147, 0.0334, -0.034,  0.079, 0.15 ,  0.022,  0.46 , 0.648, 0.52 , 0.378, 0.213),            ( 4.   ,  400. ,  0.   , 1.88, 1.18, 6.75, 10, -1.014,  0.09 , 0.0147, 0.0334, -0.034,  0.1  , 0.15 ,  0.022,  0.46 , 0.7  , 0.52 , 0.407, 0.258),            ( 5.   ,  400. ,  0.   , 1.88, 1.18, 6.75, 10, -1.   ,  0.09 , 0.0147, 0.0334, -0.034,  0.1  , 0.15 ,  0.022,  0.46 , 0.7  , 0.52 , 0.43 , 0.292),            ( 7.5  ,  400. ,  0.   , 1.88, 1.18, 6.75, 10, -1.   ,  0.09 , 0.0147, 0.0334, -0.034,  0.1  , 0.15 ,  0.022,  0.46 , 0.7  , 0.52 , 0.471, 0.355),            (10.   ,  400. ,  0.   , 1.88, 1.18, 6.75, 10, -1.   ,  0.09 , 0.0147, 0.0334, -0.034,  0.1  , 0.15 ,  0.022,  0.46 , 0.7  , 0.52 , 0.5  , 0.4  )],           dtype=[('period', '<f8'), ('v_lin', '<f8'), ('b', '<f8'), ('c', '<f8'), ('n', '<f8'), ('c1', '<f8'), ('c4', '<i8'), ('a1', '<f8'), ('a2', '<f8'), ('a3', '<f8'), ('a4', '<f8'), ('a5', '<f8'), ('a6', '<f8'), ('a7', '<f8'), ('a8', '<f8'), ('a10', '<f8'), ('s1', '<f8'), ('s2', '<f8'), ('s3', '<f8'), ('s4', '<f8')])

PERIODS = array([ 0.   , -1.   ,  0.01 ,  0.02 ,  0.029,  0.04 ,  0.05 ,  0.075,         0.1  ,  0.15 ,  0.2  ,  0.26 ,  0.3  ,  0.4  ,  0.5  ,  0.75 ,         1.   ,  1.5  ,  2.   ,  3.   ,  4.   ,  5.   ,  7.5  , 10.   ])

INDEX_PGA = 0

INDEX_PGV = 1

INDICES_PSA = array([ 2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17, 18,        19, 20, 21, 22, 23])

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

property ratio

property ln_std

interp_ratio(periods: Union[List[float], ndarray]) → ndarray

Interpolate the spectral ratio.

Interpolation of the spectral ratio done in log-period and log-ratio space.

Parameters

periods (array_like) – spectral periods to interpolate the response.

Returns

ratio – interpolated ratio

Return type

np.ndarray

interp_ln_std(periods: Union[List[float], ndarray]) → ndarray

Interpolate the spectral ratio.

Interpolation of the spectral ratio done in log-period space.

Parameters

periods (array_like) – spectral periods to interpolate the response.

Returns

ratio – interpolated ratio

Return type

np.ndarray

pygmm.hermkes_kuehn_riggelsen_2014 module

Hermkes, Kuehn, Riggelsen (2014, []) model.

class pygmm.hermkes_kuehn_riggelsen_2014.HermkesKuehnRiggelsen2014(scenario: Scenario)

Bases: GroundMotionModel

Hermkes, Kuehn, Riggelsen (2014, []) model.

Only the GPSELinCorr model is implemented. This model must be imported directly by:

from pygmm.hermkes_kuehn_riggelsen_2014 import
HermkesKuehnRiggelsen2014

This is to due to the large file size of the model data, which takes time to load.

Note that this model was developed using a Bayesian non-parametric method, which means it is should only be used over the data range used to develop the model. See the paper for more details.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Hermkes, Kuehn, Riggelsen (2014)'

Long name of the model

ABBREV = 'HKR14'

Short name of the model

V_REF = None

PERIODS = array([-1.  ,  0.01,  0.1 ,  0.5 ,  1.  ,  4.  ])

Indices of the periods

INDICES_PSA = array([1, 2, 3, 4, 5])

Indices for the spectral accelerations

INDEX_PGA = 1

Index of the peak ground acceleration

INDEX_PGV = 0

Index of the peak ground velocity

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

pygmm.idriss_2014 module

Idriss (2014, []) model.

class pygmm.idriss_2014.Idriss2014(scenario: Scenario)

Bases: GroundMotionModel

Idriss (2014, []) model.

This model was developed for active tectonic regions as part of the NGA-West2 effort.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Idriss (2014)'

Long name of the model

ABBREV = 'I14'

Short name of the model

V_REF = 1200.0

COEFF = {'large': rec.array([( 0.01 ,  9.0138, -0.0794,  0.0589, 2.9935, -0.2287, -0.854, -0.0027, 0.08),            ( 0.02 ,  9.0408, -0.0794,  0.0589, 2.9935, -0.2287, -0.854, -0.0027, 0.08),            ( 0.03 ,  9.1338, -0.0794,  0.0589, 2.9935, -0.2287, -0.854, -0.0027, 0.08),            ( 0.04 ,  9.2538, -0.0794,  0.0589, 2.9935, -0.2287, -0.854, -0.0027, 0.08),            ( 0.05 ,  7.9837, -0.1923,  0.0417, 2.7995, -0.2319, -0.631, -0.0061, 0.08),            ( 0.075,  7.756 , -0.1614,  0.0527, 2.8143, -0.2326, -0.591, -0.0056, 0.08),            ( 0.1  ,  9.4252, -0.1887,  0.0442, 2.8131, -0.2211, -0.757, -0.0042, 0.08),            ( 0.15 ,  9.6242, -0.0665,  0.0329, 2.4091, -0.1676, -0.911, -0.0046, 0.08),            ( 0.2  , 11.13  , -0.1698,  0.0188, 2.4938, -0.1685, -0.998, -0.003 , 0.08),            ( 0.25 , 11.3629, -0.1766,  0.0095, 2.3773, -0.1531, -1.042, -0.0028, 0.08),            ( 0.3  , 11.7818, -0.2798, -0.0039, 2.3772, -0.1595, -1.03 , -0.0029, 0.08),            ( 0.4  , 11.6097, -0.3048, -0.0133, 2.3413, -0.1594, -1.019, -0.0028, 0.08),            ( 0.5  , 11.4484, -0.2911, -0.0224, 2.3477, -0.1584, -1.023, -0.0021, 0.08),            ( 0.75 , 10.9065, -0.3097, -0.0267, 2.2042, -0.1577, -1.056, -0.0029, 0.08),            ( 1.   ,  9.8565, -0.2565, -0.0198, 2.1493, -0.1532, -1.009, -0.0032, 0.06),            ( 1.5  ,  8.3363, -0.232 , -0.0367, 2.0408, -0.147 , -0.898, -0.0033, 0.04),            ( 2.   ,  6.8656, -0.1226, -0.0291, 2.0013, -0.1439, -0.851, -0.0032, 0.02),            ( 3.   ,  4.1178,  0.1724, -0.0214, 1.9408, -0.1278, -0.761, -0.0031, 0.02),            ( 4.   ,  1.8102,  0.3001, -0.024 , 1.7763, -0.1326, -0.675, -0.0051, 0.  ),            ( 5.   ,  0.0977,  0.4609, -0.0202, 1.703 , -0.1291, -0.629, -0.0059, 0.  ),            ( 7.5  , -3.0563,  0.6948, -0.0219, 1.5212, -0.122 , -0.531, -0.0057, 0.  ),            (10.   , -4.4387,  0.8393, -0.0035, 1.4195, -0.1145, -0.586, -0.0061, 0.  )],           dtype=[('period', '<f8'), ('alpha_1', '<f8'), ('alpha_2', '<f8'), ('alpha_3', '<f8'), ('beta_1', '<f8'), ('beta_2', '<f8'), ('epsilon', '<f8'), ('gamma', '<f8'), ('phi', '<f8')]), 'small': rec.array([( 0.01 ,  7.0887, 2.0580e-01,  0.0589, 2.9935, -0.2287, -0.854, -0.0027, 0.08),            ( 0.02 ,  7.1157, 2.0580e-01,  0.0589, 2.9935, -0.2287, -0.854, -0.0027, 0.08),            ( 0.03 ,  7.2087, 2.0580e-01,  0.0589, 2.9935, -0.2287, -0.854, -0.0027, 0.08),            ( 0.04 ,  7.3287, 2.0580e-01,  0.0589, 2.9935, -0.2287, -0.854, -0.0027, 0.08),            ( 0.05 ,  6.2638, 6.2500e-02,  0.0417, 2.8664, -0.2418, -0.631, -0.0061, 0.08),            ( 0.075,  5.9051, 1.1280e-01,  0.0527, 2.9406, -0.2513, -0.591, -0.0056, 0.08),            ( 0.1  ,  7.5791, 8.4800e-02,  0.0442, 3.019 , -0.2516, -0.757, -0.0042, 0.08),            ( 0.15 ,  8.019 , 1.7130e-01,  0.0329, 2.7871, -0.2236, -0.911, -0.0046, 0.08),            ( 0.2  ,  9.2812, 1.0410e-01,  0.0188, 2.8611, -0.2229, -0.998, -0.003 , 0.08),            ( 0.25 ,  9.5804, 8.7500e-02,  0.0095, 2.8289, -0.22  , -1.042, -0.0028, 0.08),            ( 0.3  ,  9.8912, 3.0000e-04, -0.0039, 2.8423, -0.2284, -1.03 , -0.0029, 0.08),            ( 0.4  ,  9.5342, 2.7000e-03, -0.0133, 2.83  , -0.2318, -1.019, -0.0028, 0.08),            ( 0.5  ,  9.2142, 3.9900e-02, -0.0224, 2.856 , -0.2337, -1.023, -0.0021, 0.08),            ( 0.75 ,  8.3517, 6.8900e-02, -0.0267, 2.7544, -0.2392, -1.056, -0.0029, 0.08),            ( 1.   ,  7.0453, 1.6000e-01, -0.0198, 2.7339, -0.2398, -1.009, -0.0032, 0.06),            ( 1.5  ,  5.1307, 2.4290e-01, -0.0367, 2.68  , -0.2417, -0.898, -0.0033, 0.04),            ( 2.   ,  3.361 , 3.9660e-01, -0.0291, 2.6837, -0.245 , -0.851, -0.0032, 0.02),            ( 3.   ,  0.1784, 7.5600e-01, -0.0214, 2.6907, -0.2389, -0.761, -0.0031, 0.02),            ( 4.   , -2.4301, 9.2830e-01, -0.024 , 2.5782, -0.2514, -0.675, -0.0051, 0.  ),            ( 5.   , -4.357 , 1.1209e+00, -0.0202, 2.5468, -0.2541, -0.629, -0.0059, 0.  ),            ( 7.5  , -7.8275, 1.4016e+00, -0.0219, 2.4478, -0.2593, -0.531, -0.0057, 0.  ),            (10.   , -9.2857, 1.5574e+00, -0.0035, 2.3922, -0.2586, -0.586, -0.0061, 0.  )],           dtype=[('period', '<f8'), ('alpha_1', '<f8'), ('alpha_2', '<f8'), ('alpha_3', '<f8'), ('beta_1', '<f8'), ('beta_2', '<f8'), ('epsilon', '<f8'), ('gamma', '<f8'), ('phi', '<f8')])}

PERIODS = array([ 0.01 ,  0.02 ,  0.03 ,  0.04 ,  0.05 ,  0.075,  0.1  ,  0.15 ,         0.2  ,  0.25 ,  0.3  ,  0.4  ,  0.5  ,  0.75 ,  1.   ,  1.5  ,         2.   ,  3.   ,  4.   ,  5.   ,  7.5  , 10.   ])

Indices of the periods

INDEX_PGA = 0

Index of the peak ground acceleration

INDICES_PSA = array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,        17, 18, 19, 20, 21])

Indices for the spectral accelerations

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

pygmm.kishida_2017 module

Kishida (2017, []) conditional spectrum.

pygmm.kishida_2017.calc_cond_mean_spectrum_vector(periods: ~typing.Union[~typing.List[float], ~numpy.ndarray], ln_psas: ~typing.Union[~typing.List[float], ~numpy.ndarray], ln_stds: ~typing.Union[~typing.List[float], ~numpy.ndarray], ln_psas_cond: ~typing.Union[~typing.List[float], ~numpy.ndarray]) -> (<class 'numpy.ndarray'>, <class 'numpy.ndarray'>)

Kishida (2017, []) conditional spectrum.

Conditional mean spectrum vector (CMSV) by Kishida (2017, []) is specifying the target spectral acceleration at multiple periods, rather than the single conditioning period by Cornell and Baker (2008). If this approach is used for a single period, then the resulting spectrum is the same as computed by Cornell and Baker (2008) – implemented by calc_cond_mean_spectrum().

Parameters

• periods (array_like) – Spectral periods of the response spectrum [sec]. This array must be increasing.

• ln_psas (array_like) – Natural logarithm of the spectral acceleration. Same length as periods.

• ln_stds (array_like) – Logarithmic standard deviation of the spectral acceleration. Same length as periods.

• ln_psas_cond (np.ma.masked_array) – The vector of conditioning spectral accelerations. This is a masked array with the same length as periods. Masked values are not used for defining the CMSV.

Returns

• ln_psas_cmsv (np.ndarray) – Natural logarithm of the conditional mean spectral accelerations.

• ln_stds_cmsv (np.ndarray) – Logarithmic standard deviation of the conditional mean spectral acceleration.

Raises

ValueError – If periods are monotonically increasing.

pygmm.model module

Basic models.

class pygmm.model.Scenario(**kwds)

Bases: UserDict

An eathquake scenario used in all ground motion models.

Parameters

• depth_1_0 (float) – depth to the 1.0 km∕s shear-wave velocity horizon beneath the site, \(Z_{1.0}\) in (km).

• depth_2_5 (float) – depth to the 2.5 km∕s shear-wave velocity horizon beneath the site, \(Z_{2.5}\) in (km).

• depth_tor (float) – depth to the top of the rupture plane (\(Z_{tor}\), km).

• depth_bor (float) – depth to the bottom of the rupture plane (\(Z_{bor}\), km).

• depth_bot (float) – depth to bottom of seismogenic crust (km).

• dip (float) – fault dip angle (\(\phi\), deg).

• dist_jb (float) – Joyner-Boore distance to the rupture plane (\(R_\text{JB}\), km)

• dist_crjb (float) – centroid Joyner-Boore distance, which is the shortest distance between the centroid of Joyner-Boore rupture surface of the potential Class 2 earthquakes and the closest point on the edge of the Joyner-Boore rupture surface of the main shock (\(CR_\text{JB}\), km)

• dist_epi (float) – epicentral distance to the rupture plane (\(R_\text{epi}\), km)

• dist_hyp (float) – hypocentral distance to the rupture plane (\(R_\text{hyp}\), km).

• dist_rup (float) – closest distance to the rupture plane (\(R_\text{rup}\), km)

• dist_x (float) – site coordinate measured perpendicular to the fault strike from the fault line with the down-dip direction being positive (\(R_x\), km).

• dist_y0 (float) – horizontal distance off the end of the rupture measured parallel to strike (\(R_{y0}\), km).

• dpp_centered (float) – direct point parameter (DPP) for directivity effect (see Chiou and Spudich (2014, [])) centered on the earthquake-specific average DPP for California.

• event_type (str) – event type. Type of event used in subduction models to distinguish between intraslab and interface events.

• is_aftershock (bool) – if the scenario is an aftershock.

• mag (float) – moment magnitude of the event (\(M_w\))

• mechanism (str) – fault mechanism. Valid options: “SS”, “NS”, “RS”, and “U”. See Mechanism for more information.

• on_hanging_wall (bool) – If the site is located on the hanging wall of the fault. If None, then False is assumed.

• pga_ref (float) – peak ground accelearion in g at the model-specific reference condition.

• region (str) – region. Valid options are specified in a specific GMM.

• site_cond (str) – site condition. String description of the site condition. Valid options are specified in a specific GMM.

• tectonic_region (str) – tectonic region. Tectonic setting of the site typically used in subductin models.

• v_s30 (float) – time-averaged shear-wave velocity over the top 30 m of the site (\(V_{s30}\), m/s).

• vs_source (str) – source of the v_s30 value. Valid options include: “measured”, “inferred”

• width (float) – down-dip width of the fault.

KNOWN_KEYS = ['depth_1_0', 'depth_2_5', 'depth_tor', 'depth_bor', 'depth_bot', 'depth_hyp', 'dip', 'dist_crjb', 'dist_jb', 'dist_epi', 'dist_hyp', 'dist_rup', 'dist_x', 'dist_y0', 'dpp_centered', 'event_type', 'is_aftershock', 'mag', 'mechanism', 'on_hanging_wall', 'pga_ref', 'region', 'site_cond', 'tectonic_region', 'v_s30', 'vs_source', 'width']

copy_with(**kwds)

class pygmm.model.Model(*args, **kwargs)

Bases: object

NAME = ''

Long name of the model

ABBREV = ''

Short name of the model

LIMITS = {}

Limits of model applicability

PARAMS = []

Model parameters

property scenario

class pygmm.model.GroundMotionModel(scenario: Scenario)

Bases: Model

Abstract class for ground motion prediction models.

INDICES_PSA = array([], dtype=float64)

Indices for the spectral accelerations

PERIODS = array([], dtype=float64)

Indices of the periods

INDEX_PGA = None

Index of the peak ground acceleration

INDEX_PGV = None

Index of the peak ground velocity

INDEX_PGD = None

Index of the peak ground displacement

PGV_SCALE = 1.0

Scale factor to apply to get PGV in cm/sec

PGD_SCALE = 1.0

Scale factor to apply to get PGD in cm

interp_ln_spec_accels(periods: Union[List[float], ndarray], kind: Optional[str] = 'linear') → ndarray

Interpolate the spectral acceleration.

Interpolation of the spectral acceleration is done in natural log space.

Parameters

• periods (array_like) – spectral periods to interpolate the response.

• kind (str, optional) – see scipy.interpolate.interp1d() for description of kind. Options include: ‘linear’ (default), ‘nearest’, ‘zero’, ‘slinear’, ‘quadratic’, and ‘cubic’

Returns

ln_spec_accels – interpolated spectral accelerations

Return type

np.ndarray

interp_spec_accels(periods: Union[List[float], ndarray], kind: Optional[str] = 'linear') → ndarray

Interpolate the spectral acceleration.

Interpolation of the spectral acceleration is done in natural log space.

Parameters

• periods (array_like) – spectral periods to interpolate the response.

• kind (str, optional) – see scipy.interpolate.interp1d() for description of kind. Options include: ‘linear’ (default), ‘nearest’, ‘zero’, ‘slinear’, ‘quadratic’, and ‘cubic’

Returns

spec_accels – interpolated spectral accelerations

Return type

np.ndarray

interp_ln_stds(periods: Union[List[float], ndarray], kind: Optional[str] = 'linear') → ndarray

Interpolate the logarithmic standard deviation.

Interpolate the logarithmic standard deviation (\(\sigma_{\ln}\)) of spectral acceleration at the provided damping at specified periods.

Parameters

• periods (array_like) – spectral periods to interpolate the response.

• kind (str, optional) – see scipy.interpolate.interp1d() for description of kind. Options include: ‘linear’ (default), ‘nearest’, ‘zero’, ‘slinear’, ‘quadratic’, and ‘cubic’

Returns

ln_stds – interpolated logarithmic standard deviations

Return type

np.ndarray

property periods: ndarray

Periods specified by the model.

property spec_accels: ndarray

Pseudo-spectral accelerations computed by the model (g).

property ln_stds: ndarray

Pseudo-spectral accelerations log-standard deviation.

property pga: float

Peak ground acceleration (PGA) computed by the model (g).

property ln_std_pga: float

Peak ground accelaration log-standard deviation.

property pgv: float

Peak ground velocity (PGV) computed by the model (cm/sec).

property ln_std_pgv: float

Peak ground velocity log-standard deviation.

property pgd: float

Peak ground displacement (PGD) computed by the model (cm).

property ln_std_pgd: float

Peak ground displacement log-standard deviation.

class pygmm.model.Parameter(name, required=False, default=None)

Bases: object

Model parameter.

Parameters

• name (str) – parameter name

• required (bool) – if the parameter is required

• default (None) – (optional) default value. Use None for no default value.

check(value)

Check the value against the limits.

property default

Value to use as default.

property name

Parameter name.

property required

If the parameter is required.

class pygmm.model.NumericParameter(name: str, required: bool = False, min_: Optional[float] = None, max_: Optional[float] = None, default: Optional[float] = None)

Bases: Parameter

Numeric parameter.

Parameters

• name (str) – parameter name

• required (bool) – if the parameter is required

• default (float or int) – (optional) default value. Use None for no default value.

property min: float

Minimum value.

property max: float

Maximum value.

check(value) → float

Check the value against the limits.

class pygmm.model.CategoricalParameter(name: str, required: bool = False, options: Optional[List[str]] = None, default: Optional[str] = None)

Bases: Parameter

Categorical parameter.

Parameters

• name (str) – parameter name

• required (bool) – if the parameter is required

• options (list[str]) – list of options

• default (str) – (optional) default option. Use None for no default value.

property options: List[str]

Possible options.

check(value) → str

Check the value against the limits.

pygmm.model.load_data_file(name, skip_header=None) → recarray

Load a data file.

Returns

data – data values

Return type

numpy.recarray

pygmm.pezeshk_zandieh_tavakoli_2011 module

Pezeshk, Zandieh, and Tavakoli (2011, []) model.

class pygmm.pezeshk_zandieh_tavakoli_2011.PezeshkZandiehTavakoli2011(scenario: Scenario)

Bases: GroundMotionModel

Pezeshk, Zandieh, and Tavakoli (2011, []) model.

Developed for the Eastern North America with a reference velocity of 2000 m/s.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Pezeshk et al. (2011)'

Long name of the model

ABBREV = 'Pea11'

Short name of the model

V_REF = 2000.0

COEFF = rec.array([( 0.   ,  1.5828, 0.2298, -0.03847, -3.8325, 0.3535,  0.3321 , -0.09165, -2.5517, 0.1831 , -4.224e-04, 6.6521, -0.02105 , 0.3778, 0.2791, 0.021),            ( 0.01 ,  2.0434, 0.1987, -0.03837, -4.0521, 0.3688,  0.1995 , -0.08918, -2.5948, 0.1847 , -3.965e-04, 7.0645, -0.01974 , 0.3688, 0.2792, 0.022),            ( 0.02 ,  2.305 , 0.1877, -0.03697, -4.0443, 0.3616, -0.1222 , -0.09157, -2.9998, 0.1941 , -1.707e-04, 7.3314, -0.01974 , 0.3691, 0.2796, 0.023),            ( 0.03 ,  1.9848, 0.2203, -0.03616, -3.8032, 0.3384,  0.07814, -0.1126 , -3.3125, 0.2017 , -5.322e-05, 7.1183, -0.02094 , 0.3817, 0.2838, 0.022),            ( 0.04 ,  1.6854, 0.2404, -0.03578, -3.6129, 0.3247,  0.2956 , -0.118  , -3.332 , 0.1977 , -1.113e-04, 6.8113, -0.0218  , 0.3914, 0.2874, 0.024),            ( 0.05 ,  1.4517, 0.2414, -0.03468, -3.4683, 0.3177,  0.5224 , -0.1296 , -3.2109, 0.1956 , -2.669e-04, 6.3705, -0.02244 , 0.399 , 0.2905, 0.025),            ( 0.075,  1.0698, 0.2989, -0.03897, -3.377 , 0.318 ,  0.7422 , -0.1215 , -2.6889, 0.1723 , -6.659e-04, 6.0817, -0.02312 , 0.4108, 0.2976, 0.025),            ( 0.1  ,  0.9314, 0.3088, -0.03844, -3.2926, 0.3063,  0.7064 , -0.09521, -2.209 , 0.1472 , -9.254e-04, 6.1621, -0.02259 , 0.4102, 0.3007, 0.022),            ( 0.15 ,  0.3964, 0.4317, -0.04578, -3.2112, 0.2937,  0.6084 , -0.06727, -1.6121, 0.1072 , -1.077e-03, 6.2667, -0.02185 , 0.4066, 0.3023, 0.016),            ( 0.2  , -0.4883, 0.6278, -0.05654, -3.0304, 0.2673,  0.5422 , -0.05347, -1.3516, 0.08784, -1.045e-03, 6.1905, -0.02046 , 0.3979, 0.3033, 0.014),            ( 0.25 , -1.0098, 0.7401, -0.06309, -2.9959, 0.2623,  0.4421 , -0.03625, -1.2309, 0.07733, -9.648e-04, 6.0635, -0.01933 , 0.3908, 0.3041, 0.015),            ( 0.3  , -1.68  , 0.886 , -0.07162, -2.8894, 0.2481,  0.4869 , -0.04324, -1.149 , 0.07056, -9.049e-04, 5.9891, -0.01837 , 0.3867, 0.3068, 0.015),            ( 0.4  , -2.3106, 1.022 , -0.07965, -2.9265, 0.2515,  0.4716 , -0.04039, -1.0923, 0.06554, -7.853e-04, 6.0263, -0.01683 , 0.3774, 0.3082, 0.017),            ( 0.5  , -3.1365, 1.201 , -0.09037, -2.8823, 0.2456,  0.3333 , -0.02105, -1.0022, 0.05519, -7.069e-04, 5.9117, -0.01556 , 0.3722, 0.3119, 0.017),            ( 0.75 , -4.5494, 1.508 , -0.1087 , -2.8614, 0.2424,  0.4023 , -0.03092, -0.975 , 0.05536, -5.685e-04, 5.9835, -0.01339 , 0.3654, 0.3203, 0.021),            ( 1.   , -5.4113, 1.69  , -0.1196 , -2.8998, 0.2465,  0.3766 , -0.02928, -0.947 , 0.05249, -4.563e-04, 6.1234, -0.0118  , 0.3588, 0.3249, 0.022),            ( 1.5  , -6.4806, 1.867 , -0.1282 , -2.9338, 0.2525,  0.2633 , -0.01442, -0.9007, 0.04974, -3.540e-04, 5.9875, -0.0104  , 0.3569, 0.3327, 0.019),            ( 2.   , -6.934 , 1.907 , -0.1287 , -3.0128, 0.2639,  0.3172 , -0.0215 , -0.8749, 0.04774, -3.025e-04, 6.1355, -0.009443, 0.3561, 0.3387, 0.021),            ( 3.   , -7.4264, 1.881 , -0.1205 , -2.9742, 0.2576,  0.2585 , -0.0152 , -0.8821, 0.05376, -2.641e-04, 6.0598, -0.008509, 0.354 , 0.3431, 0.024),            ( 4.   , -7.8064, 1.895 , -0.1183 , -3.005 , 0.2588,  0.3069 , -0.02545, -0.8808, 0.05703, -2.423e-04, 6.2536, -0.007859, 0.3527, 0.3463, 0.03 ),            ( 5.   , -8.2704, 1.938 , -0.118  , -2.9501, 0.2503,  0.3296 , -0.03023, -1.0125, 0.07332, -2.002e-04, 6.3423, -0.0069  , 0.3577, 0.358 , 0.032),            ( 7.5  , -8.3376, 1.806 , -0.1042 , -2.9839, 0.2542,  0.2879 , -0.02252, -1.1817, 0.09598, -1.624e-04, 6.5181, -0.00724 , 0.373 , 0.371 , 0.03 ),            (10.   , -9.1046, 1.899 , -0.1076 , -2.8611, 0.2395,  0.2868 , -0.0229 , -1.3786, 0.1222 , -1.268e-04, 6.5384, -0.007485, 0.3848, 0.381 , 0.024)],           dtype=[('period', '<f8'), ('c_1', '<f8'), ('c_2', '<f8'), ('c_3', '<f8'), ('c_4', '<f8'), ('c_5', '<f8'), ('c_6', '<f8'), ('c_7', '<f8'), ('c_8', '<f8'), ('c_9', '<f8'), ('c_10', '<f8'), ('c_11', '<f8'), ('c_12', '<f8'), ('c_13', '<f8'), ('c_14', '<f8'), ('sigma_reg', '<f8')])

PERIODS = array([ 0.   ,  0.01 ,  0.02 ,  0.03 ,  0.04 ,  0.05 ,  0.075,  0.1  ,         0.15 ,  0.2  ,  0.25 ,  0.3  ,  0.4  ,  0.5  ,  0.75 ,  1.   ,         1.5  ,  2.   ,  3.   ,  4.   ,  5.   ,  7.5  , 10.   ])

Indices of the periods

INDEX_PGA = 0

Index of the peak ground acceleration

INDICES_PSA = array([ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,        18, 19, 20, 21, 22])

Indices for the spectral accelerations

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>]

Model parameters

pygmm.tavakoli_pezeshk_2005 module

Tavakoli and Pezeshk (2005, []) model.

class pygmm.tavakoli_pezeshk_2005.TavakoliPezeshk05(scenario: Scenario)

Bases: GroundMotionModel

Tavakoli and Pezeshk (2005, []) model.

Developed for the Eastern North America with a reference velocity of 2880 m/s.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Tavakoli and Pezeshk (2005)'

Long name of the model

ABBREV = 'TP05'

Short name of the model

V_REF = 2880.0

COEFF = rec.array([(0.  ,  1.14 , 0.623, -0.0483, -1.81, -0.652, 0.446, -2.93e-05, -0.00405,  0.00946 , 1.41, -0.961, 0.000432, 0.000133, 1.21, -0.111 , 0.409),            (0.05,  1.82 , 0.533, -0.0475, -1.63, -0.567, 0.454,  7.77e-03, -0.00491, -0.00314 , 0.98, -0.939, 0.000512, 0.00093 , 1.22, -0.108 , 0.441),            (0.08,  0.683, 0.743, -0.0293, -1.71, -0.756, 0.46 , -9.68e-04, -0.00494, -0.0055  , 1.13, -0.916, 0.000482, 0.000733, 1.22, -0.108 , 0.449),            (0.1 ,  0.869, 0.607, -0.0474, -1.52, -0.704, 0.449, -6.19e-03, -0.0047 , -0.00424 , 1.04, -0.913, 0.000411, 0.000358, 1.23, -0.108 , 0.456),            (0.15,  2.38 , 0.501, -0.0642, -1.73, -0.976, 0.414,  6.60e-03, -0.0048 ,  0.00393 , 1.51, -0.865, 0.000364, 0.000684, 1.24, -0.108 , 0.464),            (0.2 , -0.548, 0.857, -0.0262, -1.68, -0.861, 0.433,  2.79e-03, -0.00365, -0.00202 , 1.64, -0.925, 0.000161, 0.000643, 1.24, -0.108 , 0.469),            (0.3 , -0.513, 0.667, -0.0443, -1.42, -0.47 , 0.468,  1.08e-02, -0.00541,  0.00644 , 1.52, -0.915, 0.000432, 0.000287, 1.26, -0.109 , 0.479),            (0.5 ,  0.24 , 0.611, -0.0789, -1.55, -0.844, 0.414,  7.89e-03, -0.00365, -0.000265, 1.59, -0.859, 0.000277, 0.000146, 1.28, -0.173 , 0.505),            (0.75, -0.679, 0.666, -0.083 , -1.48, -0.734, 0.435,  9.53e-03, -0.00337, -0.00119 , 1.55, -0.784, 0.000245, 0.000547, 1.28, -0.105 , 0.522),            (1.  , -1.55 , 0.764, -0.0859, -1.49, -0.941, 0.424, -5.84e-03, -0.00209,  0.0033  , 1.52, -0.757, 0.000117, 0.000759, 1.28, -0.103 , 0.537),            (1.5 , -2.3  , 0.794, -0.0884, -1.45, -0.886, 0.412,  8.30e-03, -0.00327,  0.00251 , 1.71, -0.769, 0.000233, 0.000166, 1.27, -0.0999, 0.551),            (2.  , -2.7  , 0.805, -0.0929, -1.44, -0.923, 0.408,  2.06e-02, -0.00214,  0.0023  , 1.43, -0.755, 0.000214, 0.000391, 1.26, -0.0978, 0.562),            (3.  , -2.42 , 0.801, -0.108 , -1.65, -0.898, 0.437,  1.67e-02, -0.00203,  0.00358 , 1.93, -0.818, 0.000116, 0.000398, 1.26, -0.0952, 0.573),            (4.  , -3.69 , 0.817, -0.118 , -1.46, -0.845, 0.425,  1.13e-02, -0.00172, -0.00334 , 1.69, -0.737, 0.00011 , 0.000359, 1.25, -0.0926, 0.589)],           dtype=[('period', '<f8'), ('c_1', '<f8'), ('c_2', '<f8'), ('c_3', '<f8'), ('c_4', '<f8'), ('c_5', '<f8'), ('c_6', '<f8'), ('c_7', '<f8'), ('c_8', '<f8'), ('c_9', '<f8'), ('c_10', '<f8'), ('c_11', '<f8'), ('c_12', '<f8'), ('c_13', '<f8'), ('c_14', '<f8'), ('c_15', '<f8'), ('c_16', '<f8')])

PERIODS = array([0.  , 0.05, 0.08, 0.1 , 0.15, 0.2 , 0.3 , 0.5 , 0.75, 1.  , 1.5 ,        2.  , 3.  , 4.  ])

Indices of the periods

INDEX_PGA = 0

Index of the peak ground acceleration

INDICES_PSA = array([ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13])

Indices for the spectral accelerations

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>]

Model parameters

pygmm.tools module

Miscellaneous tools.

pygmm.types module

Common types used across the project.

Module contents

pyGMM: Ground motion models implemented in Python.

class pygmm.Scenario(**kwds)

Bases: UserDict

An eathquake scenario used in all ground motion models.

Parameters

• depth_1_0 (float) – depth to the 1.0 km∕s shear-wave velocity horizon beneath the site, \(Z_{1.0}\) in (km).

• depth_2_5 (float) – depth to the 2.5 km∕s shear-wave velocity horizon beneath the site, \(Z_{2.5}\) in (km).

• depth_tor (float) – depth to the top of the rupture plane (\(Z_{tor}\), km).

• depth_bor (float) – depth to the bottom of the rupture plane (\(Z_{bor}\), km).

• depth_bot (float) – depth to bottom of seismogenic crust (km).

• dip (float) – fault dip angle (\(\phi\), deg).

• dist_jb (float) – Joyner-Boore distance to the rupture plane (\(R_\text{JB}\), km)

• dist_crjb (float) – centroid Joyner-Boore distance, which is the shortest distance between the centroid of Joyner-Boore rupture surface of the potential Class 2 earthquakes and the closest point on the edge of the Joyner-Boore rupture surface of the main shock (\(CR_\text{JB}\), km)

• dist_epi (float) – epicentral distance to the rupture plane (\(R_\text{epi}\), km)

• dist_hyp (float) – hypocentral distance to the rupture plane (\(R_\text{hyp}\), km).

• dist_rup (float) – closest distance to the rupture plane (\(R_\text{rup}\), km)

• dist_x (float) – site coordinate measured perpendicular to the fault strike from the fault line with the down-dip direction being positive (\(R_x\), km).

• dist_y0 (float) – horizontal distance off the end of the rupture measured parallel to strike (\(R_{y0}\), km).

• dpp_centered (float) – direct point parameter (DPP) for directivity effect (see Chiou and Spudich (2014, [])) centered on the earthquake-specific average DPP for California.

• event_type (str) – event type. Type of event used in subduction models to distinguish between intraslab and interface events.

• is_aftershock (bool) – if the scenario is an aftershock.

• mag (float) – moment magnitude of the event (\(M_w\))

• mechanism (str) – fault mechanism. Valid options: “SS”, “NS”, “RS”, and “U”. See Mechanism for more information.

• on_hanging_wall (bool) – If the site is located on the hanging wall of the fault. If None, then False is assumed.

• pga_ref (float) – peak ground accelearion in g at the model-specific reference condition.

• region (str) – region. Valid options are specified in a specific GMM.

• site_cond (str) – site condition. String description of the site condition. Valid options are specified in a specific GMM.

• tectonic_region (str) – tectonic region. Tectonic setting of the site typically used in subductin models.

• v_s30 (float) – time-averaged shear-wave velocity over the top 30 m of the site (\(V_{s30}\), m/s).

• vs_source (str) – source of the v_s30 value. Valid options include: “measured”, “inferred”

• width (float) – down-dip width of the fault.

KNOWN_KEYS = ['depth_1_0', 'depth_2_5', 'depth_tor', 'depth_bor', 'depth_bot', 'depth_hyp', 'dip', 'dist_crjb', 'dist_jb', 'dist_epi', 'dist_hyp', 'dist_rup', 'dist_x', 'dist_y0', 'dpp_centered', 'event_type', 'is_aftershock', 'mag', 'mechanism', 'on_hanging_wall', 'pga_ref', 'region', 'site_cond', 'tectonic_region', 'v_s30', 'vs_source', 'width']

copy_with(**kwds)

class pygmm.AbrahamsonSilvaKamai2014(scenario: Scenario)

Bases: GroundMotionModel

Abrahamson, Silva, and Kamai (2014, []) model.

This model was developed for active tectonic regions as part of the NGA-West2 effort.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Abrahamson, Silva, & Kamai (2014)'

Long name of the model

ABBREV = 'ASK14'

Short name of the model

V_REF = 1180.0

COEFF = rec.array([( 0.01 , 6.75 , 5, 660, -1.47 ,    2.4, 1.5, 4.5,  0.587, -0.79 , 0.275, -0.1, -0.41, 2.1541, 0, -0.015,  1.735, 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.0072, 0.1 , 0.05 , 0.  , -0.05, -0.0015, 0.0025, -0.0034, -0.1503,  0.265,  0.337,  0.188, 0, 0.088, -0.196,  0.044, 0.754, 0.52 , 0.47, 0.36, 0.741, 0.501, 0.54, 0.63),            ( 0.02 , 6.75 , 5, 680, -1.459,    2.4, 1.5, 4.5,  0.598, -0.79 , 0.275, -0.1, -0.41, 2.1461, 0, -0.015,  1.718, 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.0073, 0.1 , 0.05 , 0.  , -0.05, -0.0015, 0.0024, -0.0033, -0.1479,  0.255,  0.328,  0.184, 0, 0.088, -0.194,  0.061, 0.76 , 0.52 , 0.47, 0.36, 0.747, 0.501, 0.54, 0.63),            ( 0.03 , 6.75 , 5, 770, -1.39 ,    2.4, 1.5, 4.5,  0.602, -0.79 , 0.275, -0.1, -0.41, 2.1566, 0, -0.015,  1.615, 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.0075, 0.1 , 0.05 , 0.  , -0.05, -0.0016, 0.0023, -0.0034, -0.1447,  0.249,  0.32 ,  0.18 , 0, 0.093, -0.175,  0.162, 0.781, 0.52 , 0.47, 0.36, 0.769, 0.501, 0.55, 0.63),            ( 0.05 , 6.75 , 5, 915, -1.219,    2.4, 1.5, 4.5,  0.707, -0.79 , 0.275, -0.1, -0.41, 2.0845, 0, -0.015,  1.358, 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.008 , 0.1 , 0.05 , 0.  , -0.05, -0.002 , 0.0027, -0.0033, -0.1326,  0.202,  0.289,  0.167, 0, 0.133, -0.09 ,  0.451, 0.81 , 0.53 , 0.47, 0.36, 0.798, 0.512, 0.56, 0.65),            ( 0.075, 6.75 , 5, 960, -1.152,    2.4, 1.5, 4.5,  0.973, -0.79 , 0.275, -0.1, -0.41, 2.0285, 0, -0.015,  1.258, 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.0089, 0.1 , 0.05 , 0.  , -0.05, -0.0027, 0.0032, -0.0029, -0.1353,  0.126,  0.275,  0.173, 0, 0.186,  0.09 ,  0.506, 0.81 , 0.54 , 0.47, 0.36, 0.798, 0.522, 0.57, 0.69),            ( 0.1  , 6.75 , 5, 910, -1.23 ,    2.4, 1.5, 4.5,  1.169, -0.79 , 0.275, -0.1, -0.41, 2.0408, 0, -0.015,  1.31 , 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.0095, 0.1 , 0.05 , 0.  , -0.05, -0.0033, 0.0036, -0.0025, -0.1128,  0.022,  0.256,  0.189, 0, 0.16 ,  0.006,  0.335, 0.81 , 0.55 , 0.47, 0.36, 0.795, 0.527, 0.57, 0.7 ),            ( 0.15 , 6.75 , 5, 740, -1.587,    2.4, 1.5, 4.5,  1.442, -0.79 , 0.275, -0.1, -0.41, 2.1208, 0, -0.022,  1.66 , 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.0095, 0.1 , 0.05 , 0.  , -0.05, -0.0035, 0.0033, -0.0025,  0.0383, -0.136,  0.162,  0.108, 0, 0.068, -0.156, -0.084, 0.801, 0.56 , 0.47, 0.36, 0.773, 0.519, 0.58, 0.7 ),            ( 0.2  , 6.75 , 5, 590, -2.012,    2.4, 1.5, 4.5,  1.637, -0.79 , 0.275, -0.1, -0.41, 2.2241, 0, -0.03 ,  2.22 , 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.0086, 0.1 , 0.05 , 0.  , -0.03, -0.0033, 0.0027, -0.0031,  0.0775, -0.078,  0.224,  0.115, 0, 0.048, -0.274, -0.178, 0.789, 0.565, 0.47, 0.36, 0.753, 0.514, 0.59, 0.7 ),            ( 0.25 , 6.75 , 5, 495, -2.411,    2.4, 1.5, 4.5,  1.701, -0.79 , 0.275, -0.1, -0.41, 2.3124, 0, -0.038,  2.77 , 0, -0.1, 0.6 , -0.24,  1.1 , -0.0074, 0.1 , 0.05 , 0.  ,  0.  , -0.0029, 0.0024, -0.0036,  0.0741,  0.037,  0.248,  0.122, 0, 0.055, -0.248, -0.187, 0.77 , 0.57 , 0.47, 0.36, 0.729, 0.513, 0.61, 0.7 ),            ( 0.3  , 6.75 , 5, 430, -2.757,    2.4, 1.5, 4.5,  1.712, -0.79 , 0.275, -0.1, -0.41, 2.3383, 0, -0.045,  3.25 , 0, -0.1, 0.6 , -0.19,  1.03, -0.0064, 0.1 , 0.05 , 0.03,  0.03, -0.0027, 0.002 , -0.0039,  0.2548, -0.091,  0.203,  0.096, 0, 0.073, -0.203, -0.159, 0.74 , 0.58 , 0.47, 0.36, 0.693, 0.519, 0.63, 0.7 ),            ( 0.4  , 6.75 , 5, 360, -3.278,    2.4, 1.5, 4.5,  1.662, -0.79 , 0.275, -0.1, -0.41, 2.4688, 0, -0.055,  3.99 , 0, -0.1, 0.58, -0.11,  0.92, -0.0043, 0.1 , 0.07 , 0.06,  0.06, -0.0023, 0.001 , -0.0048,  0.2136,  0.129,  0.232,  0.123, 0, 0.143, -0.154, -0.023, 0.699, 0.59 , 0.47, 0.36, 0.644, 0.524, 0.66, 0.7 ),            ( 0.5  , 6.75 , 5, 340, -3.599,    2.4, 1.5, 4.5,  1.571, -0.79 , 0.275, -0.1, -0.41, 2.5586, 0, -0.065,  4.45 , 0, -0.1, 0.56, -0.04,  0.84, -0.0032, 0.1 , 0.1  , 0.1 ,  0.09, -0.002 , 0.0008, -0.005 ,  0.1542,  0.31 ,  0.252,  0.134, 0, 0.16 , -0.159, -0.029, 0.676, 0.6  , 0.47, 0.36, 0.616, 0.532, 0.69, 0.7 ),            ( 0.75 , 6.75 , 5, 330, -3.8  ,    2.4, 1.5, 4.5,  1.299, -0.79 , 0.275, -0.1, -0.41, 2.6821, 0, -0.095,  4.75 , 0, -0.1, 0.53,  0.07,  0.68, -0.0025, 0.14, 0.14 , 0.14,  0.13, -0.001 , 0.0007, -0.0041,  0.0787,  0.505,  0.208,  0.129, 0, 0.158, -0.141,  0.061, 0.631, 0.615, 0.47, 0.36, 0.566, 0.548, 0.73, 0.69),            ( 1.   , 6.75 , 5, 330, -3.5  ,    2.4, 1.5, 4.5,  1.043, -0.79 , 0.275, -0.1, -0.41, 2.763 , 0, -0.11 ,  4.3  , 0, -0.1, 0.5 ,  0.15,  0.57, -0.0025, 0.17, 0.17 , 0.17,  0.14, -0.0005, 0.0007, -0.0032,  0.0476,  0.358,  0.208,  0.152, 0, 0.145, -0.144,  0.062, 0.609, 0.63 , 0.47, 0.36, 0.541, 0.565, 0.77, 0.68),            ( 1.5  , 6.75 , 5, 330, -2.4  ,    2.4, 1.5, 4.5,  0.665, -0.79 , 0.275, -0.1, -0.41, 2.8355, 0, -0.124,  2.6  , 0, -0.1, 0.42,  0.27,  0.42, -0.0022, 0.22, 0.21 , 0.2 ,  0.16, -0.0004, 0.0006, -0.002 , -0.0163,  0.131,  0.108,  0.118, 0, 0.131, -0.126,  0.037, 0.578, 0.64 , 0.47, 0.36, 0.506, 0.576, 0.8 , 0.66),            ( 2.   , 6.75 , 5, 330, -1.   ,    2.4, 1.5, 4.5,  0.329, -0.79 , 0.275, -0.1, -0.41, 2.8973, 0, -0.138,  0.55 , 0, -0.1, 0.35,  0.35,  0.31, -0.0019, 0.26, 0.25 , 0.22,  0.16, -0.0002, 0.0003, -0.0017, -0.1203,  0.123,  0.068,  0.119, 0, 0.083, -0.075, -0.143, 0.555, 0.65 , 0.47, 0.36, 0.48 , 0.587, 0.8 , 0.62),            ( 3.   , 6.82 , 5, 330,  0.   ,    2.4, 1.5, 4.5, -0.06 , -0.79 , 0.275, -0.1, -0.41, 2.9061, 0, -0.172, -0.95 , 0, -0.1, 0.2 ,  0.46,  0.16, -0.0015, 0.34, 0.3  , 0.23,  0.16,  0.    , 0.    , -0.002 , -0.2719,  0.109, -0.023,  0.093, 0, 0.07 , -0.021, -0.028, 0.548, 0.64 , 0.47, 0.36, 0.472, 0.576, 0.8 , 0.55),            ( 4.   , 6.92 , 5, 330,  0.   ,    2.4, 1.5, 4.5, -0.299, -0.79 , 0.275, -0.1, -0.41, 2.8888, 0, -0.197, -0.95 , 0, -0.1, 0.  ,  0.54,  0.05, -0.001 , 0.41, 0.32 , 0.23,  0.14,  0.    , 0.    , -0.002 , -0.2958,  0.135,  0.028,  0.084, 0, 0.101,  0.072, -0.097, 0.527, 0.63 , 0.47, 0.36, 0.447, 0.565, 0.76, 0.52),            ( 5.   , 7.   , 5, 330,  0.   ,    2.4, 1.5, 4.5, -0.562, -0.765, 0.275, -0.1, -0.41, 2.8984, 0, -0.218, -0.93 , 0, -0.1, 0.  ,  0.61, -0.04, -0.001 , 0.51, 0.32 , 0.22,  0.13,  0.    , 0.    , -0.002 , -0.2718,  0.189,  0.031,  0.058, 0, 0.095,  0.205,  0.015, 0.505, 0.63 , 0.47, 0.36, 0.425, 0.568, 0.72, 0.5 ),            ( 6.   , 7.06 , 5, 330,  0.   ,    2.4, 1.5, 4.5, -0.875, -0.711, 0.275, -0.1, -0.41, 2.8955, 0, -0.235, -0.91 , 0, -0.2, 0.  ,  0.65, -0.11, -0.001 , 0.55, 0.32 , 0.2 ,  0.1 ,  0.    , 0.    , -0.002 , -0.2517,  0.215,  0.024,  0.065, 0, 0.133,  0.285,  0.104, 0.477, 0.63 , 0.47, 0.36, 0.395, 0.571, 0.7 , 0.5 ),            ( 7.5  , 7.145, 5, 330,  0.   ,    2.4, 1.5, 4.5, -1.303, -0.634, 0.275, -0.1, -0.41, 2.87  , 0, -0.255, -0.87 , 0, -0.2, 0.  ,  0.72, -0.19, -0.001 , 0.49, 0.275, 0.17,  0.09,  0.    , 0.    , -0.002 , -0.14  ,  0.15 , -0.07 ,  0.   , 0, 0.151,  0.329,  0.299, 0.457, 0.63 , 0.47, 0.36, 0.378, 0.575, 0.67, 0.5 ),            (10.   , 7.25 , 5, 330,  0.   ,    2.4, 1.5, 4.5, -1.928, -0.529, 0.275, -0.1, -0.41, 2.8431, 0, -0.285, -0.8  , 0, -0.2, 0.  ,  0.8 , -0.3 , -0.001 , 0.42, 0.22 , 0.14,  0.08,  0.    , 0.    , -0.002 , -0.0216,  0.092, -0.159, -0.05 , 0, 0.124,  0.301,  0.243, 0.429, 0.63 , 0.47, 0.36, 0.359, 0.585, 0.64, 0.5 ),            ( 0.   , 6.75 , 5, 660, -1.47 ,    2.4, 1.5, 4.5,  0.587, -0.79 , 0.275, -0.1, -0.41, 2.1541, 0, -0.015,  1.735, 0, -0.1, 0.6 , -0.3 ,  1.1 , -0.0072, 0.1 , 0.05 , 0.  , -0.05, -0.0015, 0.0025, -0.0034, -0.1503,  0.265,  0.337,  0.188, 0, 0.088, -0.196,  0.044, 0.754, 0.52 , 0.47, 0.36, 0.741, 0.501, 0.54, 0.63),            (-1.   , 6.75 , 5, 330, -2.02 , 2400. , 1.5, 4.5,  5.975, -0.919, 0.275, -0.1, -0.41, 2.3657, 0, -0.094,  2.36 , 0, -0.1, 0.25,  0.22,  0.3 , -0.0005, 0.28, 0.15 , 0.09,  0.07, -0.0001, 0.0005, -0.0037, -0.1462,  0.377,  0.212,  0.157, 0, 0.095, -0.038,  0.065, 0.662, 0.51 , 0.38, 0.38, 0.66 , 0.51 , 0.58, 0.53)],           dtype=[('period', '<f8'), ('m1', '<f8'), ('m2', '<i8'), ('v_lin', '<i8'), ('b', '<f8'), ('c', '<f8'), ('n', '<f8'), ('c4', '<f8'), ('a1', '<f8'), ('a2', '<f8'), ('a3', '<f8'), ('a4', '<f8'), ('a5', '<f8'), ('a6', '<f8'), ('a7', '<i8'), ('a8', '<f8'), ('a10', '<f8'), ('a11', '<i8'), ('a12', '<f8'), ('a13', '<f8'), ('a14', '<f8'), ('a15', '<f8'), ('a17', '<f8'), ('a43', '<f8'), ('a44', '<f8'), ('a45', '<f8'), ('a46', '<f8'), ('a25', '<f8'), ('a28', '<f8'), ('a29', '<f8'), ('a31', '<f8'), ('a36', '<f8'), ('a37', '<f8'), ('a38', '<f8'), ('a39', '<i8'), ('a40', '<f8'), ('a41', '<f8'), ('a42', '<f8'), ('s1e', '<f8'), ('s2e', '<f8'), ('s3', '<f8'), ('s4', '<f8'), ('s1m', '<f8'), ('s2m', '<f8'), ('s5', '<f8'), ('s6', '<f8')])

PERIODS = array([ 0.01 ,  0.02 ,  0.03 ,  0.05 ,  0.075,  0.1  ,  0.15 ,  0.2  ,         0.25 ,  0.3  ,  0.4  ,  0.5  ,  0.75 ,  1.   ,  1.5  ,  2.   ,         3.   ,  4.   ,  5.   ,  6.   ,  7.5  , 10.   ,  0.   , -1.   ])

Indices of the periods

INDICES_PSA = array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,        17, 18, 19, 20, 21])

Indices for the spectral accelerations

INDEX_PGA = -2

Index of the peak ground acceleration

INDEX_PGV = -1

Index of the peak ground velocity

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

classmethod calc_site_term(resp_ref: Union[List[float], ndarray], v_s30: float, depth_1_0: float, region: str = 'california')

Calculate the site term, which includes site and basin effects.

Parameters

• resp_ref (array_like, optional) – response at the reference condition

• v_s30 (float) – site condition. Set v_s30 to the reference velocity (e.g., 1180 m/s) for the reference response.

• depth_1_0 (float) – depth to the 1.0 km∕s shear-wave velocity horizon beneath the site, \(Z_{1.0}\) in (km).

• region (str, optional) – region of basin model. Valid options: ‘california’, ‘japan’. If None, then ‘california’ is used as the default value.

Returns

site_term – site term that is applied to the natural log response.

Return type

np.ndarray

static calc_width(mag: float, dip: float) → float

Compute the fault width based on equation in NGW2 spreadsheet.

This equation is not provided in the paper.

Parameters

• mag (float) – moment magnitude of the event (\(M_w\))

• dip (float) – Fault dip angle (\(\phi\), deg)

Returns

width – estimated fault width (\(W\), km)

Return type

float

static calc_depth_tor(mag: float) → float

Calculate the depth to top of rupture (km).

Parameters

mag (float) – moment magnitude of the event (\(M_w\))

Returns

depth_tor – estimated depth to top of rupture (km)

Return type

float

static calc_depth_1_0(v_s30: float, region: str = 'california') → float

Estimate the depth to 1 km/sec horizon (\(Z_{1.0}\)) based on \(V_{s30}\) and region.

This is based on equations 18 and 19 in the [] and differs from the equations in the [].

Parameters

• v_s30 (float) – time-averaged shear-wave velocity over the top 30 m of the site (\(V_{s30}\), m/s). Keyword Args:

• region (str, optional) – region of basin model. Valid options: ‘california’, ‘japan’. If None, then ‘california’ is used as the default value.

Returns

depth_1_0 – depth to a shear-wave velocity of 1,000 m/sec (\(Z_{1.0}\), km).

Return type

float

class pygmm.AbrahamsonGregorAddo2016(scenario, adjust_c1=None, adjust_c4=0, scale_atten=1.0)

Bases: GroundMotionModel

Abrahamson, Gregor, and Addo (2016) ground motion moodel.

This model was developed for subduction regions and is commonly referred to as the BCHydro model.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Abrahamson, Gregor, & Addo (2016)'

Long name of the model

ABBREV = 'AGA16'

Short name of the model

V_REF = 1000.0

COEFF = rec.array([( 0.   ,  865.1, -1.186, 1.18, 1.88, 10,  4.2203, -1.35, 0.1, 0.9, 0, -0.0012,  1.0988, -1.42, 0.4, 3.12,  0.013 ,  0.98 , -0.0135, -0.4 , 0.9969, -1.  , 0.6, 0.43, 0.738),            ( 0.02 ,  865.1, -1.186, 1.18, 1.88, 10,  4.2203, -1.35, 0.1, 0.9, 0, -0.0012,  1.0988, -1.42, 0.4, 3.12,  0.013 ,  0.98 , -0.0135, -0.4 , 0.9969, -1.  , 0.6, 0.43, 0.738),            ( 0.05 , 1053.5, -1.346, 1.18, 1.88, 10,  4.5371, -1.4 , 0.1, 0.9, 0, -0.0012,  1.2536, -1.65, 0.4, 3.37,  0.013 ,  1.288, -0.0138, -0.4 , 1.103 , -1.18, 0.6, 0.43, 0.738),            ( 0.075, 1085.7, -1.471, 1.18, 1.88, 10,  5.0733, -1.45, 0.1, 0.9, 0, -0.0012,  1.4175, -1.8 , 0.4, 3.37,  0.013 ,  1.483, -0.0142, -0.4 , 1.2732, -1.36, 0.6, 0.43, 0.738),            ( 0.1  , 1032.5, -1.624, 1.18, 1.88, 10,  5.2892, -1.45, 0.1, 0.9, 0, -0.0012,  1.3997, -1.8 , 0.4, 3.33,  0.013 ,  1.613, -0.0145, -0.4 , 1.3042, -1.36, 0.6, 0.43, 0.738),            ( 0.15 ,  877.6, -1.931, 1.18, 1.88, 10,  5.4563, -1.45, 0.1, 0.9, 0, -0.0014,  1.3582, -1.69, 0.4, 3.25,  0.013 ,  1.882, -0.0153, -0.4 , 1.26  , -1.3 , 0.6, 0.43, 0.738),            ( 0.2  ,  748.2, -2.188, 1.18, 1.88, 10,  5.2684, -1.4 , 0.1, 0.9, 0, -0.0018,  1.1648, -1.49, 0.4, 3.03,  0.0129,  2.076, -0.0162, -0.35, 1.223 , -1.25, 0.6, 0.43, 0.738),            ( 0.25 ,  654.3, -2.381, 1.18, 1.88, 10,  5.0594, -1.35, 0.1, 0.9, 0, -0.0023,  0.994 , -1.3 , 0.4, 2.8 ,  0.0129,  2.248, -0.0172, -0.31, 1.16  , -1.17, 0.6, 0.43, 0.738),            ( 0.3  ,  587.1, -2.518, 1.18, 1.88, 10,  4.7945, -1.28, 0.1, 0.9, 0, -0.0027,  0.8821, -1.18, 0.4, 2.59,  0.0128,  2.348, -0.0183, -0.28, 1.05  , -1.06, 0.6, 0.43, 0.738),            ( 0.4  ,  503. , -2.657, 1.18, 1.88, 10,  4.4644, -1.18, 0.1, 0.9, 0, -0.0035,  0.7046, -0.98, 0.4, 2.2 ,  0.0127,  2.427, -0.0206, -0.23, 0.8   , -0.78, 0.6, 0.43, 0.738),            ( 0.5  ,  456.6, -2.669, 1.18, 1.88, 10,  4.0181, -1.08, 0.1, 0.9, 0, -0.0044,  0.5799, -0.82, 0.4, 1.92,  0.0125,  2.399, -0.0231, -0.19, 0.662 , -0.62, 0.6, 0.43, 0.738),            ( 0.6  ,  430.3, -2.599, 1.18, 1.88, 10,  3.6055, -0.99, 0.1, 0.9, 0, -0.005 ,  0.5021, -0.7 , 0.4, 1.7 ,  0.0124,  2.273, -0.0256, -0.16, 0.58  , -0.5 , 0.6, 0.43, 0.738),            ( 0.75 ,  410.5, -2.401, 1.18, 1.88, 10,  3.2174, -0.91, 0.1, 0.9, 0, -0.0058,  0.3687, -0.54, 0.4, 1.42,  0.012 ,  1.993, -0.0296, -0.12, 0.48  , -0.34, 0.6, 0.43, 0.738),            ( 1.   ,  400. , -1.955, 1.18, 1.88, 10,  2.7981, -0.85, 0.1, 0.9, 0, -0.0062,  0.1746, -0.34, 0.4, 1.1 ,  0.0114,  1.47 , -0.0363, -0.07, 0.33  , -0.14, 0.6, 0.43, 0.738),            ( 1.5  ,  400. , -1.025, 1.18, 1.88, 10,  2.0123, -0.77, 0.1, 0.9, 0, -0.0064, -0.082 , -0.05, 0.4, 0.7 ,  0.01  ,  0.408, -0.0493,  0.  , 0.31  ,  0.  , 0.6, 0.43, 0.738),            ( 2.   ,  400. , -0.299, 1.18, 1.88, 10,  1.4128, -0.71, 0.1, 0.9, 0, -0.0064, -0.2821,  0.12, 0.4, 0.7 ,  0.0085, -0.401, -0.061 ,  0.  , 0.3   ,  0.  , 0.6, 0.43, 0.738),            ( 2.5  ,  400. ,  0.   , 1.18, 1.88, 10,  0.9976, -0.67, 0.1, 0.9, 0, -0.0064, -0.4108,  0.25, 0.4, 0.7 ,  0.0069, -0.723, -0.0711,  0.  , 0.3   ,  0.  , 0.6, 0.43, 0.738),            ( 3.   ,  400. ,  0.   , 1.18, 1.88, 10,  0.6443, -0.64, 0.1, 0.9, 0, -0.0064, -0.4466,  0.3 , 0.4, 0.7 ,  0.0054, -0.673, -0.0798,  0.  , 0.3   ,  0.  , 0.6, 0.43, 0.738),            ( 4.   ,  400. ,  0.   , 1.18, 1.88, 10,  0.0657, -0.58, 0.1, 0.9, 0, -0.0064, -0.4344,  0.3 , 0.4, 0.7 ,  0.0027, -0.627, -0.0935,  0.  , 0.3   ,  0.  , 0.6, 0.43, 0.738),            ( 5.   ,  400. ,  0.   , 1.18, 1.88, 10, -0.4624, -0.54, 0.1, 0.9, 0, -0.0064, -0.4368,  0.3 , 0.4, 0.7 ,  0.0005, -0.596, -0.098 ,  0.  , 0.3   ,  0.  , 0.6, 0.43, 0.738),            ( 6.   ,  400. ,  0.   , 1.18, 1.88, 10, -0.9809, -0.5 , 0.1, 0.9, 0, -0.0064, -0.4586,  0.3 , 0.4, 0.7 , -0.0013, -0.566, -0.098 ,  0.  , 0.3   ,  0.  , 0.6, 0.43, 0.738),            ( 7.5  ,  400. ,  0.   , 1.18, 1.88, 10, -1.6017, -0.46, 0.1, 0.9, 0, -0.0064, -0.4433,  0.3 , 0.4, 0.7 , -0.0033, -0.528, -0.098 ,  0.  , 0.3   ,  0.  , 0.6, 0.43, 0.738),            (10.   ,  400. ,  0.   , 1.18, 1.88, 10, -2.2937, -0.4 , 0.1, 0.9, 0, -0.0064, -0.4828,  0.3 , 0.4, 0.7 , -0.006 , -0.504, -0.098 ,  0.  , 0.3   ,  0.  , 0.6, 0.43, 0.738)],           dtype=[('period', '<f8'), ('v_lin', '<f8'), ('b', '<f8'), ('n', '<f8'), ('c', '<f8'), ('c_4', '<i8'), ('t_1', '<f8'), ('t_2', '<f8'), ('t_3', '<f8'), ('t_4', '<f8'), ('t_5', '<i8'), ('t_6', '<f8'), ('t_7', '<f8'), ('t_8', '<f8'), ('t_9', '<f8'), ('t_10', '<f8'), ('t_11', '<f8'), ('t_12', '<f8'), ('t_13', '<f8'), ('t_14', '<f8'), ('t_15', '<f8'), ('t_16', '<f8'), ('phi', '<f8'), ('tau', '<f8'), ('sigma', '<f8')])

PERIODS = array([ 0.   ,  0.02 ,  0.05 ,  0.075,  0.1  ,  0.15 ,  0.2  ,  0.25 ,         0.3  ,  0.4  ,  0.5  ,  0.6  ,  0.75 ,  1.   ,  1.5  ,  2.   ,         2.5  ,  3.   ,  4.   ,  5.   ,  6.   ,  7.5  , 10.   ])

Indices of the periods

INDEX_PGA = 0

Index of the peak ground acceleration

INDICES_PSA = array([ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,        18, 19, 20, 21, 22])

Indices for the spectral accelerations

LIMITS = {'dist_jb': (0.0, 300.0), 'mag': (3.0, 8.5), 'v_s30': (150.0, 1500.0)}

Limits of model applicability

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

property adjust_c1

property adjust_c4

property scale_atten

class pygmm.AfshariStewart2016(scenario)

Bases: Model

Afshari and Stewart (2016, []) duration model.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Afshari and Stewart (2016)'

Long name of the model

ABBREV = 'AS16'

Short name of the model

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.NumericParameter object>]

Model parameters

static calc_depth_1_0(v_s30: float, region: str = 'california') → float

property duration

Return the durations as a np.recarray. Values can be accessed with ‘D_5t75’, ‘D_5t95’, or ‘D_20t80’.

property std_err

Return the standard errors of the durations as a np.recarray. Values can be accessed with ‘D_5t75’, ‘D_5t95’, or ‘D_20t80’.

class pygmm.AkkarSandikkayaBommer2014(scenario: Scenario)

Bases: GroundMotionModel

Akkar, Sandikkaya, & Bommer (2014, []) model.

The model is specified for three different distance metrics. However, the implementation uses only one distance metric. They are used in the following order:

1. dist_jb

2. dist_hyp

3. dist_epi

This order was selected based on evaluation of the total standard deviation. To compute the response for differing metrics, call the model multiple times with different keywords.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Akkar, Sandikkaya, & Bommer (2014)'

Long name of the model

ABBREV = 'ASB14'

Short name of the model

V_REF = 750.0

COEFF = {'dist_epi': rec.array([( 0.   ,  2.52977, 0.0029, -0.05496, -1.31001, 0.2529, 7.5, -0.5096, -0.1091,  0.0937, 6.75, 1000, 750, 2.5, 3.2, -0.41997, -0.28846, 0.6375, 0.3581, 0.7312),            (-1.   ,  6.13498, 0.0029, -0.12091, -1.04013, 0.2529, 7.5, -0.5096, -0.0616,  0.063 , 6.75, 1000, 750, 2.5, 3.2, -0.72057, -0.19688, 0.6143, 0.3485, 0.7063),            ( 0.01 ,  2.54832, 0.0029, -0.05434, -1.31268, 0.2529, 7.5, -0.5096, -0.1115,  0.0953, 6.75, 1000, 750, 2.5, 3.2, -0.41729, -0.28685, 0.6389, 0.3607, 0.7337),            ( 0.02 ,  2.6442 , 0.0029, -0.05452, -1.33135, 0.2529, 7.5, -0.5096, -0.104 ,  0.1029, 6.75, 1000, 750, 2.5, 3.2, -0.39998, -0.28241, 0.6434, 0.3615, 0.738 ),            ( 0.03 ,  2.77723, 0.0029, -0.05196, -1.35509, 0.2529, 7.5, -0.5096, -0.0973,  0.1148, 6.75, 1000, 750, 2.5, 3.2, -0.34799, -0.26842, 0.6569, 0.3617, 0.7499),            ( 0.04 ,  2.92666, 0.0029, -0.04657, -1.38259, 0.2529, 7.5, -0.5096, -0.0884,  0.1073, 6.75, 1000, 750, 2.5, 3.2, -0.27572, -0.24759, 0.6693, 0.353 , 0.7567),            ( 0.05 ,  3.09355, 0.0029, -0.04168, -1.41008, 0.2529, 7.5, -0.5096, -0.0853,  0.1052, 6.75, 1000, 750, 2.5, 3.2, -0.21231, -0.22385, 0.6773, 0.3612, 0.7676),            ( 0.075,  3.38462, 0.0029, -0.03506, -1.44268, 0.2529, 7.5, -0.5096, -0.0779,  0.0837, 6.75, 1000, 750, 2.5, 3.2, -0.14427, -0.17525, 0.6791, 0.3853, 0.7808),            ( 0.1  ,  3.61906, 0.0029, -0.03936, -1.4687 , 0.2529, 7.5, -0.5096, -0.0749,  0.0761, 6.75, 1000, 750, 2.5, 3.2, -0.27064, -0.29293, 0.6851, 0.416 , 0.8015),            ( 0.11 ,  3.66537, 0.0029, -0.04081, -1.47079, 0.2529, 7.5, -0.5096, -0.0704,  0.0707, 6.75, 1000, 750, 2.5, 3.2, -0.31025, -0.31837, 0.6884, 0.4163, 0.8045),            ( 0.12 ,  3.68544, 0.0029, -0.04295, -1.4652 , 0.2529, 7.5, -0.5096, -0.0604,  0.0653, 6.75, 1000, 750, 2.5, 3.2, -0.34796, -0.3386 , 0.696 , 0.4118, 0.8087),            ( 0.13 ,  3.70155, 0.0029, -0.04581, -1.45986, 0.2529, 7.5, -0.5096, -0.049 ,  0.0617, 6.75, 1000, 750, 2.5, 3.2, -0.39668, -0.36646, 0.6997, 0.4102, 0.8111),            ( 0.14 ,  3.70871, 0.0029, -0.04848, -1.45433, 0.2529, 7.5, -0.5096, -0.0377,  0.0581, 6.75, 1000, 750, 2.5, 3.2, -0.43996, -0.38417, 0.7032, 0.4028, 0.8104),            ( 0.15 ,  3.70477, 0.0029, -0.05156, -1.44613, 0.2529, 7.5, -0.5096, -0.0265,  0.0545, 6.75, 1000, 750, 2.5, 3.2, -0.48313, -0.39551, 0.7011, 0.3978, 0.8061),            ( 0.16 ,  3.65565, 0.0029, -0.0535 , -1.42989, 0.2529, 7.5, -0.5096, -0.0194,  0.0509, 6.75, 1000, 750, 2.5, 3.2, -0.52431, -0.40869, 0.6997, 0.3989, 0.8054),            ( 0.17 ,  3.59764, 0.0029, -0.05583, -1.4111 , 0.2529, 7.5, -0.5096, -0.0125,  0.0507, 6.75, 1000, 750, 2.5, 3.2, -0.5568 , -0.41528, 0.697 , 0.403 , 0.8051),            ( 0.18 ,  3.53732, 0.0029, -0.0583 , -1.39329, 0.2529, 7.5, -0.5096, -0.0056,  0.0502, 6.75, 1000, 750, 2.5, 3.2, -0.58922, -0.42717, 0.6956, 0.4041, 0.8045),            ( 0.19 ,  3.47722, 0.0029, -0.0609 , -1.37648, 0.2529, 7.5, -0.5096,  0.    ,  0.0497, 6.75, 1000, 750, 2.5, 3.2, -0.62635, -0.4413 , 0.6915, 0.4017, 0.7997),            ( 0.2  ,  3.40112, 0.0029, -0.0621 , -1.3577 , 0.2529, 7.5, -0.5096,  0.    ,  0.0493, 6.75, 1000, 750, 2.5, 3.2, -0.65315, -0.44644, 0.6922, 0.3965, 0.7977),            ( 0.22 ,  3.27214, 0.0029, -0.06461, -1.32624, 0.2529, 7.5, -0.5096,  0.    ,  0.0488, 6.75, 1000, 750, 2.5, 3.2, -0.68711, -0.44872, 0.6893, 0.4005, 0.7972),            ( 0.24 ,  3.15842, 0.0029, -0.06791, -1.29833, 0.2529, 7.5, -0.5096,  0.    ,  0.0483, 6.75, 1000, 750, 2.5, 3.2, -0.72744, -0.46341, 0.6942, 0.3919, 0.7972),            ( 0.26 ,  3.09498, 0.0029, -0.07344, -1.27945, 0.2529, 7.5, -0.5096,  0.    ,  0.0478, 6.75, 1000, 750, 2.5, 3.2, -0.77335, -0.48705, 0.6938, 0.3898, 0.7958),            ( 0.28 ,  2.9809 , 0.0029, -0.07698, -1.25442, 0.2529, 7.5, -0.5096,  0.    ,  0.0474, 6.75, 1000, 750, 2.5, 3.2, -0.80508, -0.47334, 0.6877, 0.3883, 0.7898),            ( 0.3  ,  2.87449, 0.0029, -0.08126, -1.22665, 0.2529, 7.5, -0.5096,  0.    ,  0.0469, 6.75, 1000, 750, 2.5, 3.2, -0.82609, -0.4573 , 0.6897, 0.3894, 0.792 ),            ( 0.32 ,  2.72364, 0.0029, -0.08387, -1.19143, 0.2529, 7.5, -0.5096,  0.    ,  0.0464, 6.75, 1000, 750, 2.5, 3.2, -0.8408 , -0.44267, 0.6947, 0.3941, 0.7987),            ( 0.34 ,  2.60904, 0.0029, -0.08816, -1.16231, 0.2529, 7.5, -0.5096,  0.    ,  0.0459, 6.75, 1000, 750, 2.5, 3.2, -0.86251, -0.43888, 0.6939, 0.3937, 0.7978),            ( 0.36 ,  2.54266, 0.0029, -0.09239, -1.14444, 0.2529, 7.5, -0.5096,  0.    ,  0.0459, 6.75, 1000, 750, 2.5, 3.2, -0.87479, -0.4382 , 0.6945, 0.3997, 0.8013),            ( 0.38 ,  2.46615, 0.0029, -0.09576, -1.127  , 0.2529, 7.5, -0.5096,  0.    ,  0.0429, 6.75, 1000, 750, 2.5, 3.2, -0.88522, -0.43678, 0.6971, 0.4012, 0.8043),            ( 0.4  ,  2.40119, 0.0029, -0.09885, -1.11318, 0.2529, 7.5, -0.5096,  0.    ,  0.04  , 6.75, 1000, 750, 2.5, 3.2, -0.89517, -0.43008, 0.6971, 0.4012, 0.8043),            ( 0.42 ,  2.3454 , 0.0029, -0.10198, -1.10318, 0.2529, 7.5, -0.5096,  0.    ,  0.0374, 6.75, 1000, 750, 2.5, 3.2, -0.90875, -0.4219 , 0.6955, 0.3946, 0.7996),            ( 0.44 ,  2.28213, 0.0029, -0.10464, -1.09241, 0.2529, 7.5, -0.5096,  0.    ,  0.0349, 6.75, 1000, 750, 2.5, 3.2, -0.91922, -0.40903, 0.6891, 0.3985, 0.796 ),            ( 0.46 ,  2.2344 , 0.0029, -0.10771, -1.08445, 0.2529, 7.5, -0.5096,  0.    ,  0.0323, 6.75, 1000, 750, 2.5, 3.2, -0.9267 , -0.39442, 0.6825, 0.4056, 0.7939),            ( 0.48 ,  2.20123, 0.0029, -0.11199, -1.07592, 0.2529, 7.5, -0.5096,  0.    ,  0.0297, 6.75, 1000, 750, 2.5, 3.2, -0.9372 , -0.38462, 0.6785, 0.4068, 0.7911),            ( 0.5  ,  2.16953, 0.0029, -0.11604, -1.06795, 0.2529, 7.5, -0.5096,  0.    ,  0.0271, 6.75, 1000, 750, 2.5, 3.2, -0.94614, -0.37408, 0.6751, 0.4065, 0.788 ),            ( 0.55 ,  2.03012, 0.0029, -0.12344, -1.04242, 0.2529, 7.5, -0.5096,  0.    ,  0.0245, 6.75, 1000, 750, 2.5, 3.2, -0.96564, -0.35582, 0.6788, 0.4087, 0.7923),            ( 0.6  ,  1.84644, 0.0029, -0.12745, -1.01046, 0.2529, 7.5, -0.5096,  0.    ,  0.0219, 6.75, 1000, 750, 2.5, 3.2, -0.98499, -0.34053, 0.6845, 0.4085, 0.7971),            ( 0.65 ,  1.6676 , 0.0029, -0.13195, -0.97801, 0.2529, 7.5, -0.5096,  0.    ,  0.0193, 6.75, 1000, 750, 2.5, 3.2, -0.99733, -0.30949, 0.6857, 0.4128, 0.8004),            ( 0.7  ,  1.53432, 0.0029, -0.13715, -0.95428, 0.2529, 7.5, -0.5096,  0.    ,  0.0167, 6.75, 1000, 750, 2.5, 3.2, -1.00469, -0.28772, 0.6902, 0.4101, 0.8028),            ( 0.75 ,  1.38296, 0.0029, -0.14169, -0.92585, 0.2529, 7.5, -0.5096,  0.    ,  0.0141, 6.75, 1000, 750, 2.5, 3.2, -1.00786, -0.28957, 0.6937, 0.4011, 0.8013),            ( 0.8  ,  1.28662, 0.0029, -0.14485, -0.91241, 0.2529, 7.5, -0.5096,  0.    ,  0.0115, 6.75, 1000, 750, 2.5, 3.2, -1.00606, -0.28555, 0.6884, 0.3962, 0.7943),            ( 0.85 ,  1.20114, 0.0029, -0.14922, -0.89909, 0.2529, 7.5, -0.5096,  0.    ,  0.0089, 6.75, 1000, 750, 2.5, 3.2, -1.01093, -0.28364, 0.6866, 0.3951, 0.7922),            ( 0.9  ,  1.09991, 0.0029, -0.1532 , -0.88377, 0.2529, 7.5, -0.5096,  0.    ,  0.0062, 6.75, 1000, 750, 2.5, 3.2, -1.01576, -0.28037, 0.6881, 0.3979, 0.7949),            ( 0.95 ,  1.01256, 0.0029, -0.157  , -0.8705 , 0.2529, 7.5, -0.5096,  0.    ,  0.0016, 6.75, 1000, 750, 2.5, 3.2, -1.01353, -0.2839 , 0.6904, 0.3955, 0.7957),            ( 1.   ,  0.94162, 0.0029, -0.16069, -0.86109, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.01331, -0.28702, 0.6922, 0.3965, 0.7977),            ( 1.1  ,  0.78017, 0.0029, -0.16727, -0.83743, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.0124 , -0.27669, 0.7047, 0.3819, 0.8015),            ( 1.2  ,  0.63219, 0.0029, -0.17174, -0.81877, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.00489, -0.27538, 0.7138, 0.3807, 0.809 ),            ( 1.3  ,  0.48905, 0.0029, -0.17712, -0.79698, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.98876, -0.25008, 0.7137, 0.3827, 0.8098),            ( 1.4  ,  0.38492, 0.0029, -0.18237, -0.78548, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.9776 , -0.23508, 0.7263, 0.3787, 0.8191),            ( 1.5  ,  0.36315, 0.0029, -0.1879 , -0.79498, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.98071, -0.24695, 0.7287, 0.3821, 0.8228),            ( 1.6  ,  0.28812, 0.0029, -0.19363, -0.78665, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.96369, -0.2287 , 0.7307, 0.3854, 0.8261),            ( 1.7  ,  0.18172, 0.0029, -0.19545, -0.77778, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.94634, -0.21655, 0.7322, 0.3751, 0.8227),            ( 1.8  ,  0.13021, 0.0029, -0.20069, -0.77282, 0.2529, 7.5, -0.5096,  0.    , -0.003 , 6.75, 1000, 750, 2.5, 3.2, -0.93606, -0.20302, 0.7316, 0.3749, 0.8221),            ( 1.9  ,  0.05074, 0.0029, -0.20386, -0.76574, 0.2529, 7.5, -0.5096,  0.    , -0.006 , 6.75, 1000, 750, 2.5, 3.2, -0.91408, -0.18228, 0.7341, 0.3761, 0.8248),            ( 2.   , -0.02806, 0.0029, -0.20666, -0.7626 , 0.2529, 7.5, -0.5096,  0.    , -0.009 , 6.75, 1000, 750, 2.5, 3.2, -0.91007, -0.17336, 0.7333, 0.3734, 0.8229),            ( 2.2  , -0.15016, 0.0029, -0.21319, -0.75952, 0.2529, 7.5, -0.5096,  0.    , -0.0141, 6.75, 1000, 750, 2.5, 3.2, -0.89376, -0.15463, 0.7277, 0.3794, 0.8207),            ( 2.4  , -0.26608, 0.0029, -0.2196 , -0.75011, 0.2529, 7.5, -0.5096,  0.    , -0.0284, 6.75, 1000, 750, 2.5, 3.2, -0.87052, -0.13181, 0.7199, 0.4025, 0.8248),            ( 2.6  , -0.39025, 0.0029, -0.2233 , -0.74326, 0.2529, 7.5, -0.5096,  0.    , -0.0408, 6.75, 1000, 750, 2.5, 3.2, -0.85889, -0.14066, 0.7171, 0.4049, 0.8235),            ( 2.8  , -0.49742, 0.0029, -0.22716, -0.74185, 0.2529, 7.5, -0.5096,  0.    , -0.0534, 6.75, 1000, 750, 2.5, 3.2, -0.86106, -0.13882, 0.7175, 0.409 , 0.8259),            ( 3.   , -0.64241, 0.0029, -0.23038, -0.73634, 0.2529, 7.5, -0.5096,  0.    , -0.0683, 6.75, 1000, 750, 2.5, 3.2, -0.85793, -0.13336, 0.7051, 0.4115, 0.8164),            ( 3.2  , -0.7667 , 0.0029, -0.23049, -0.72149, 0.2529, 7.5, -0.5096,  0.    , -0.078 , 6.75, 1000, 750, 2.5, 3.2, -0.82094, -0.1377 , 0.6876, 0.428 , 0.8099),            ( 3.4  , -0.80566, 0.0029, -0.23726, -0.72539, 0.2529, 7.5, -0.5096,  0.    , -0.0943, 6.75, 1000, 750, 2.5, 3.2, -0.84449, -0.15337, 0.675 , 0.4029, 0.7861),            ( 3.6  , -0.945  , 0.0029, -0.24437, -0.70115, 0.2529, 7.5, -0.5096,  0.    , -0.1278, 6.75, 1000, 750, 2.5, 3.2, -0.83216, -0.10884, 0.6571, 0.4252, 0.7827),            ( 3.8  , -0.98457, 0.0029, -0.2493 , -0.69696, 0.2529, 7.5, -0.5096,  0.    , -0.1744, 6.75, 1000, 750, 2.5, 3.2, -0.79216, -0.08884, 0.6438, 0.4243, 0.771 ),            ( 4.   , -0.93329, 0.0029, -0.25756, -0.7121 , 0.2529, 7.5, -0.5096,  0.    , -0.2231, 6.75, 1000, 750, 2.5, 3.2, -0.75645, -0.07749, 0.6241, 0.3659, 0.7235)],           dtype=[('period', '<f8'), ('a_1', '<f8'), ('a_2', '<f8'), ('a_3', '<f8'), ('a_4', '<f8'), ('a_5', '<f8'), ('a_6', '<f8'), ('a_7', '<f8'), ('a_8', '<f8'), ('a_9', '<f8'), ('c_1', '<f8'), ('v_con', '<i8'), ('v_ref', '<i8'), ('c', '<f8'), ('n', '<f8'), ('b_1', '<f8'), ('b_2', '<f8'), ('sd_within', '<f8'), ('sd_between', '<f8'), ('sd_total', '<f8')]), 'dist_hyp': rec.array([( 0.   ,  3.26685, 0.0029, -0.04846, -1.47905, 0.2529, 7.5, -0.5096, -0.1091,  0.0937, 6.75, 1000, 750, 2.5, 3.2, -0.41997, -0.28846, 0.6475, 0.3472, 0.7347),            (-1.   ,  6.72743, 0.0029, -0.11474, -1.17694, 0.2529, 7.5, -0.5096, -0.0616,  0.063 , 6.75, 1000, 750, 2.5, 3.2, -0.72057, -0.19688, 0.628 , 0.3312, 0.71  ),            ( 0.01 ,  3.28656, 0.0029, -0.04784, -1.48197, 0.2529, 7.5, -0.5096, -0.1115,  0.0953, 6.75, 1000, 750, 2.5, 3.2, -0.41729, -0.28685, 0.6492, 0.3481, 0.7366),            ( 0.02 ,  3.38936, 0.0029, -0.04796, -1.50214, 0.2529, 7.5, -0.5096, -0.104 ,  0.1029, 6.75, 1000, 750, 2.5, 3.2, -0.39998, -0.28241, 0.6543, 0.3508, 0.7424),            ( 0.03 ,  3.53155, 0.0029, -0.04537, -1.52781, 0.2529, 7.5, -0.5096, -0.0973,  0.1148, 6.75, 1000, 750, 2.5, 3.2, -0.34799, -0.26842, 0.6685, 0.3526, 0.7558),            ( 0.04 ,  3.68895, 0.0029, -0.03991, -1.55693, 0.2529, 7.5, -0.5096, -0.0884,  0.1073, 6.75, 1000, 750, 2.5, 3.2, -0.27572, -0.24759, 0.6816, 0.3513, 0.7668),            ( 0.05 ,  3.86581, 0.0029, -0.0349 , -1.58672, 0.2529, 7.5, -0.5096, -0.0853,  0.1052, 6.75, 1000, 750, 2.5, 3.2, -0.21231, -0.22385, 0.6899, 0.3659, 0.7809),            ( 0.075,  4.18224, 0.0029, -0.02826, -1.62527, 0.2529, 7.5, -0.5096, -0.0779,  0.0837, 6.75, 1000, 750, 2.5, 3.2, -0.14427, -0.17525, 0.6881, 0.3942, 0.793 ),            ( 0.1  ,  4.4375 , 0.0029, -0.03256, -1.65601, 0.2529, 7.5, -0.5096, -0.0749,  0.0761, 6.75, 1000, 750, 2.5, 3.2, -0.27064, -0.29293, 0.6936, 0.4122, 0.8068),            ( 0.11 ,  4.48828, 0.0029, -0.03407, -1.65903, 0.2529, 7.5, -0.5096, -0.0704,  0.0707, 6.75, 1000, 750, 2.5, 3.2, -0.31025, -0.31837, 0.6965, 0.4065, 0.8064),            ( 0.12 ,  4.51414, 0.0029, -0.03635, -1.6547 , 0.2529, 7.5, -0.5096, -0.0604,  0.0653, 6.75, 1000, 750, 2.5, 3.2, -0.34796, -0.3386 , 0.7022, 0.3964, 0.8064),            ( 0.13 ,  4.5329 , 0.0029, -0.03929, -1.64994, 0.2529, 7.5, -0.5096, -0.049 ,  0.0617, 6.75, 1000, 750, 2.5, 3.2, -0.39668, -0.36646, 0.7043, 0.3937, 0.8069),            ( 0.14 ,  4.53834, 0.0029, -0.042  , -1.64398, 0.2529, 7.5, -0.5096, -0.0377,  0.0581, 6.75, 1000, 750, 2.5, 3.2, -0.43996, -0.38417, 0.7071, 0.3853, 0.8053),            ( 0.15 ,  4.52949, 0.0029, -0.04509, -1.63467, 0.2529, 7.5, -0.5096, -0.0265,  0.0545, 6.75, 1000, 750, 2.5, 3.2, -0.48313, -0.39551, 0.7048, 0.3779, 0.7997),            ( 0.16 ,  4.47016, 0.0029, -0.04701, -1.61626, 0.2529, 7.5, -0.5096, -0.0194,  0.0509, 6.75, 1000, 750, 2.5, 3.2, -0.52431, -0.40869, 0.7032, 0.3851, 0.8017),            ( 0.17 ,  4.40011, 0.0029, -0.04932, -1.59485, 0.2529, 7.5, -0.5096, -0.0125,  0.0507, 6.75, 1000, 750, 2.5, 3.2, -0.5568 , -0.41528, 0.7011, 0.39  , 0.8023),            ( 0.18 ,  4.33238, 0.0029, -0.05181, -1.57545, 0.2529, 7.5, -0.5096, -0.0056,  0.0502, 6.75, 1000, 750, 2.5, 3.2, -0.58922, -0.42717, 0.6992, 0.3889, 0.8001),            ( 0.19 ,  4.26395, 0.0029, -0.05442, -1.55685, 0.2529, 7.5, -0.5096,  0.    ,  0.0497, 6.75, 1000, 750, 2.5, 3.2, -0.62635, -0.4413 , 0.6947, 0.3903, 0.7968),            ( 0.2  ,  4.1775 , 0.0029, -0.05565, -1.53574, 0.2529, 7.5, -0.5096,  0.    ,  0.0493, 6.75, 1000, 750, 2.5, 3.2, -0.65315, -0.44644, 0.6954, 0.3848, 0.7948),            ( 0.22 ,  4.03111, 0.0029, -0.05817, -1.50045, 0.2529, 7.5, -0.5096,  0.    ,  0.0488, 6.75, 1000, 750, 2.5, 3.2, -0.68711, -0.44872, 0.6925, 0.3891, 0.7943),            ( 0.24 ,  3.90131, 0.0029, -0.06152, -1.46889, 0.2529, 7.5, -0.5096,  0.    ,  0.0483, 6.75, 1000, 750, 2.5, 3.2, -0.72744, -0.46341, 0.6973, 0.3839, 0.796 ),            ( 0.26 ,  3.82611, 0.0029, -0.06706, -1.44738, 0.2529, 7.5, -0.5096,  0.    ,  0.0478, 6.75, 1000, 750, 2.5, 3.2, -0.77335, -0.48705, 0.6973, 0.3839, 0.796 ),            ( 0.28 ,  3.6978 , 0.0029, -0.0706 , -1.41925, 0.2529, 7.5, -0.5096,  0.    ,  0.0474, 6.75, 1000, 750, 2.5, 3.2, -0.80508, -0.47334, 0.6914, 0.3865, 0.7921),            ( 0.3  ,  3.57698, 0.0029, -0.0749 , -1.38832, 0.2529, 7.5, -0.5096,  0.    ,  0.0469, 6.75, 1000, 750, 2.5, 3.2, -0.82609, -0.4573 , 0.6934, 0.3896, 0.7954),            ( 0.32 ,  3.40759, 0.0029, -0.07756, -1.34898, 0.2529, 7.5, -0.5096,  0.    ,  0.0464, 6.75, 1000, 750, 2.5, 3.2, -0.8408 , -0.44267, 0.6992, 0.3908, 0.801 ),            ( 0.34 ,  3.2758 , 0.0029, -0.08183, -1.31609, 0.2529, 7.5, -0.5096,  0.    ,  0.0459, 6.75, 1000, 750, 2.5, 3.2, -0.86251, -0.43888, 0.699 , 0.3888, 0.7999),            ( 0.36 ,  3.19725, 0.0029, -0.08602, -1.29558, 0.2529, 7.5, -0.5096,  0.    ,  0.0459, 6.75, 1000, 750, 2.5, 3.2, -0.87479, -0.4382 , 0.7006, 0.3916, 0.8026),            ( 0.38 ,  3.11035, 0.0029, -0.08937, -1.27591, 0.2529, 7.5, -0.5096,  0.    ,  0.0429, 6.75, 1000, 750, 2.5, 3.2, -0.88522, -0.43678, 0.7036, 0.3913, 0.8051),            ( 0.4  ,  3.03752, 0.0029, -0.09243, -1.26045, 0.2529, 7.5, -0.5096,  0.    ,  0.04  , 6.75, 1000, 750, 2.5, 3.2, -0.89517, -0.43008, 0.7037, 0.3894, 0.8043),            ( 0.42 ,  2.97485, 0.0029, -0.09556, -1.24891, 0.2529, 7.5, -0.5096,  0.    ,  0.0374, 6.75, 1000, 750, 2.5, 3.2, -0.90875, -0.4219 , 0.7023, 0.3847, 0.8008),            ( 0.44 ,  2.90617, 0.0029, -0.09822, -1.237  , 0.2529, 7.5, -0.5096,  0.    ,  0.0349, 6.75, 1000, 750, 2.5, 3.2, -0.91922, -0.40903, 0.6956, 0.3908, 0.7979),            ( 0.46 ,  2.85484, 0.0029, -0.10132, -1.22822, 0.2529, 7.5, -0.5096,  0.    ,  0.0323, 6.75, 1000, 750, 2.5, 3.2, -0.9267 , -0.39442, 0.6893, 0.3986, 0.7963),            ( 0.48 ,  2.8172 , 0.0029, -0.1056 , -1.21874, 0.2529, 7.5, -0.5096,  0.    ,  0.0297, 6.75, 1000, 750, 2.5, 3.2, -0.9372 , -0.38462, 0.6852, 0.4017, 0.7943),            ( 0.5  ,  2.77997, 0.0029, -0.10964, -1.20953, 0.2529, 7.5, -0.5096,  0.    ,  0.0271, 6.75, 1000, 750, 2.5, 3.2, -0.94614, -0.37408, 0.6821, 0.4017, 0.7916),            ( 0.55 ,  2.62299, 0.0029, -0.11701, -1.1801 , 0.2529, 7.5, -0.5096,  0.    ,  0.0245, 6.75, 1000, 750, 2.5, 3.2, -0.96564, -0.35582, 0.6866, 0.4044, 0.7968),            ( 0.6  ,  2.42234, 0.0029, -0.12106, -1.14424, 0.2529, 7.5, -0.5096,  0.    ,  0.0219, 6.75, 1000, 750, 2.5, 3.2, -0.98499, -0.34053, 0.6926, 0.4005, 0.8001),            ( 0.65 ,  2.2277 , 0.0029, -0.12555, -1.10853, 0.2529, 7.5, -0.5096,  0.    ,  0.0193, 6.75, 1000, 750, 2.5, 3.2, -0.99733, -0.30949, 0.6949, 0.3981, 0.8009),            ( 0.7  ,  2.08102, 0.0029, -0.13074, -1.08192, 0.2529, 7.5, -0.5096,  0.    ,  0.0167, 6.75, 1000, 750, 2.5, 3.2, -1.00469, -0.28772, 0.6993, 0.3967, 0.804 ),            ( 0.75 ,  1.91625, 0.0029, -0.13547, -1.05027, 0.2529, 7.5, -0.5096,  0.    ,  0.0141, 6.75, 1000, 750, 2.5, 3.2, -1.00786, -0.28957, 0.7028, 0.389 , 0.8033),            ( 0.8  ,  1.81167, 0.0029, -0.13856, -1.03514, 0.2529, 7.5, -0.5096,  0.    ,  0.0115, 6.75, 1000, 750, 2.5, 3.2, -1.00606, -0.28555, 0.6981, 0.3824, 0.796 ),            ( 0.85 ,  1.71853, 0.0029, -0.14294, -1.0201 , 0.2529, 7.5, -0.5096,  0.    ,  0.0089, 6.75, 1000, 750, 2.5, 3.2, -1.01093, -0.28364, 0.6959, 0.3831, 0.7944),            ( 0.9  ,  1.60822, 0.0029, -0.14669, -1.00315, 0.2529, 7.5, -0.5096,  0.    ,  0.0062, 6.75, 1000, 750, 2.5, 3.2, -1.01576, -0.28037, 0.6983, 0.3825, 0.7962),            ( 0.95 ,  1.51532, 0.0029, -0.15056, -0.98859, 0.2529, 7.5, -0.5096,  0.    ,  0.0016, 6.75, 1000, 750, 2.5, 3.2, -1.01353, -0.2839 , 0.7006, 0.3797, 0.7969),            ( 1.   ,  1.43982, 0.0029, -0.15427, -0.97812, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.01331, -0.28702, 0.7022, 0.3826, 0.7997),            ( 1.1  ,  1.26728, 0.0029, -0.16107, -0.95163, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.0124 , -0.27669, 0.7137, 0.3721, 0.8049),            ( 1.2  ,  1.11475, 0.0029, -0.1663 , -0.93048, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.00489, -0.27538, 0.7224, 0.3723, 0.8127),            ( 1.3  ,  0.95965, 0.0029, -0.1717 , -0.90604, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.98876, -0.25008, 0.7226, 0.3746, 0.8139),            ( 1.4  ,  0.85203, 0.0029, -0.17699, -0.89379, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.9776 , -0.23508, 0.7349, 0.3697, 0.8227),            ( 1.5  ,  0.83007, 0.0029, -0.18248, -0.90319, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.98071, -0.24695, 0.7378, 0.3758, 0.828 ),            ( 1.6  ,  0.74487, 0.0029, -0.18787, -0.89323, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.96369, -0.2287 , 0.7406, 0.3794, 0.8321),            ( 1.7  ,  0.63568, 0.0029, -0.18961, -0.88392, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.94634, -0.21655, 0.7418, 0.3686, 0.8283),            ( 1.8  ,  0.56996, 0.0029, -0.19551, -0.87459, 0.2529, 7.5, -0.5096,  0.    , -0.003 , 6.75, 1000, 750, 2.5, 3.2, -0.93606, -0.20302, 0.7431, 0.3692, 0.8298),            ( 1.9  ,  0.485  , 0.0029, -0.19853, -0.86659, 0.2529, 7.5, -0.5096,  0.    , -0.006 , 6.75, 1000, 750, 2.5, 3.2, -0.91408, -0.18228, 0.7457, 0.3705, 0.8327),            ( 2.   ,  0.40614, 0.0029, -0.20136, -0.86343, 0.2529, 7.5, -0.5096,  0.    , -0.009 , 6.75, 1000, 750, 2.5, 3.2, -0.91007, -0.17336, 0.7446, 0.3676, 0.8304),            ( 2.2  ,  0.28608, 0.0029, -0.20791, -0.86086, 0.2529, 7.5, -0.5096,  0.    , -0.0141, 6.75, 1000, 750, 2.5, 3.2, -0.89376, -0.15463, 0.7391, 0.3718, 0.8273),            ( 2.4  ,  0.15432, 0.0029, -0.2148 , -0.84778, 0.2529, 7.5, -0.5096,  0.    , -0.0284, 6.75, 1000, 750, 2.5, 3.2, -0.87052, -0.13181, 0.7311, 0.3941, 0.8306),            ( 2.6  ,  0.0225 , 0.0029, -0.21843, -0.83937, 0.2529, 7.5, -0.5096,  0.    , -0.0408, 6.75, 1000, 750, 2.5, 3.2, -0.85889, -0.14066, 0.7281, 0.3967, 0.8292),            ( 2.8  , -0.07822, 0.0029, -0.22224, -0.83964, 0.2529, 7.5, -0.5096,  0.    , -0.0534, 6.75, 1000, 750, 2.5, 3.2, -0.86106, -0.13882, 0.7279, 0.3987, 0.8299),            ( 3.   , -0.22534, 0.0029, -0.22564, -0.83314, 0.2529, 7.5, -0.5096,  0.    , -0.0683, 6.75, 1000, 750, 2.5, 3.2, -0.85793, -0.13336, 0.7154, 0.4019, 0.8206),            ( 3.2  , -0.36165, 0.0029, -0.22496, -0.81702, 0.2529, 7.5, -0.5096,  0.    , -0.078 , 6.75, 1000, 750, 2.5, 3.2, -0.82094, -0.1377 , 0.6984, 0.4113, 0.8105),            ( 3.4  , -0.39423, 0.0029, -0.23237, -0.82109, 0.2529, 7.5, -0.5096,  0.    , -0.0943, 6.75, 1000, 750, 2.5, 3.2, -0.84449, -0.15337, 0.6867, 0.38  , 0.7848),            ( 3.6  , -0.54126, 0.0029, -0.24003, -0.79431, 0.2529, 7.5, -0.5096,  0.    , -0.1278, 6.75, 1000, 750, 2.5, 3.2, -0.83216, -0.10884, 0.6687, 0.4009, 0.7797),            ( 3.8  , -0.59607, 0.0029, -0.24448, -0.78785, 0.2529, 7.5, -0.5096,  0.    , -0.1744, 6.75, 1000, 750, 2.5, 3.2, -0.79216, -0.08884, 0.6565, 0.3952, 0.7663),            ( 4.   , -0.51893, 0.0029, -0.25256, -0.80922, 0.2529, 7.5, -0.5096,  0.    , -0.2231, 6.75, 1000, 750, 2.5, 3.2, -0.75645, -0.07749, 0.6364, 0.3318, 0.7177)],           dtype=[('period', '<f8'), ('a_1', '<f8'), ('a_2', '<f8'), ('a_3', '<f8'), ('a_4', '<f8'), ('a_5', '<f8'), ('a_6', '<f8'), ('a_7', '<f8'), ('a_8', '<f8'), ('a_9', '<f8'), ('c_1', '<f8'), ('v_con', '<i8'), ('v_ref', '<i8'), ('c', '<f8'), ('n', '<f8'), ('b_1', '<f8'), ('b_2', '<f8'), ('sd_within', '<f8'), ('sd_between', '<f8'), ('sd_total', '<f8')]), 'dist_jb': rec.array([( 0.   ,  1.85329, 0.0029, -0.02807, -1.23452, 0.2529, 7.5, -0.5096, -0.1091,  0.0937, 6.75, 1000, 750, 2.5, 3.2, -0.41997, -0.28846, 0.6201, 0.3501, 0.7121),            (-1.   ,  5.61201, 0.0029, -0.0998 , -0.98388, 0.2529, 7.5, -0.5096, -0.0616,  0.063 , 6.75, 1000, 750, 2.5, 3.2, -0.72057, -0.19688, 0.6014, 0.3311, 0.6865),            ( 0.01 ,  1.87032, 0.0029, -0.0274 , -1.23698, 0.2529, 7.5, -0.5096, -0.1115,  0.0953, 6.75, 1000, 750, 2.5, 3.2, -0.41729, -0.28685, 0.6215, 0.3526, 0.7146),            ( 0.02 ,  1.95279, 0.0029, -0.02715, -1.25363, 0.2529, 7.5, -0.5096, -0.104 ,  0.1029, 6.75, 1000, 750, 2.5, 3.2, -0.39998, -0.28241, 0.6266, 0.3555, 0.7204),            ( 0.03 ,  2.07006, 0.0029, -0.02403, -1.27525, 0.2529, 7.5, -0.5096, -0.0973,  0.1148, 6.75, 1000, 750, 2.5, 3.2, -0.34799, -0.26842, 0.641 , 0.3565, 0.7335),            ( 0.04 ,  2.20452, 0.0029, -0.01797, -1.30123, 0.2529, 7.5, -0.5096, -0.0884,  0.1073, 6.75, 1000, 750, 2.5, 3.2, -0.27572, -0.24759, 0.6534, 0.3484, 0.7405),            ( 0.05 ,  2.35413, 0.0029, -0.01248, -1.32632, 0.2529, 7.5, -0.5096, -0.0853,  0.1052, 6.75, 1000, 750, 2.5, 3.2, -0.21231, -0.22385, 0.6622, 0.3551, 0.7514),            ( 0.075,  2.63078, 0.0029, -0.00532, -1.35722, 0.2529, 7.5, -0.5096, -0.0779,  0.0837, 6.75, 1000, 750, 2.5, 3.2, -0.14427, -0.17525, 0.6626, 0.3759, 0.7618),            ( 0.1  ,  2.85412, 0.0029, -0.00925, -1.38182, 0.2529, 7.5, -0.5096, -0.0749,  0.0761, 6.75, 1000, 750, 2.5, 3.2, -0.27064, -0.29293, 0.667 , 0.4067, 0.7812),            ( 0.11 ,  2.89772, 0.0029, -0.01062, -1.38345, 0.2529, 7.5, -0.5096, -0.0704,  0.0707, 6.75, 1000, 750, 2.5, 3.2, -0.31025, -0.31837, 0.6712, 0.4059, 0.7844),            ( 0.12 ,  2.92748, 0.0029, -0.01291, -1.37997, 0.2529, 7.5, -0.5096, -0.0604,  0.0653, 6.75, 1000, 750, 2.5, 3.2, -0.34796, -0.3386 , 0.6768, 0.4022, 0.7873),            ( 0.13 ,  2.95162, 0.0029, -0.01592, -1.37627, 0.2529, 7.5, -0.5096, -0.049 ,  0.0617, 6.75, 1000, 750, 2.5, 3.2, -0.39668, -0.36646, 0.6789, 0.4017, 0.7888),            ( 0.14 ,  2.96299, 0.0029, -0.01866, -1.37155, 0.2529, 7.5, -0.5096, -0.0377,  0.0581, 6.75, 1000, 750, 2.5, 3.2, -0.43996, -0.38417, 0.6822, 0.3945, 0.7881),            ( 0.15 ,  2.96622, 0.0029, -0.02193, -1.3646 , 0.2529, 7.5, -0.5096, -0.0265,  0.0545, 6.75, 1000, 750, 2.5, 3.2, -0.48313, -0.39551, 0.6796, 0.3893, 0.7832),            ( 0.16 ,  2.93166, 0.0029, -0.02429, -1.35074, 0.2529, 7.5, -0.5096, -0.0194,  0.0509, 6.75, 1000, 750, 2.5, 3.2, -0.52431, -0.40869, 0.6762, 0.3928, 0.782 ),            ( 0.17 ,  2.88988, 0.0029, -0.02712, -1.33454, 0.2529, 7.5, -0.5096, -0.0125,  0.0507, 6.75, 1000, 750, 2.5, 3.2, -0.5568 , -0.41528, 0.6723, 0.396 , 0.7803),            ( 0.18 ,  2.84627, 0.0029, -0.03003, -1.31959, 0.2529, 7.5, -0.5096, -0.0056,  0.0502, 6.75, 1000, 750, 2.5, 3.2, -0.58922, -0.42717, 0.6694, 0.396 , 0.7778),            ( 0.19 ,  2.79778, 0.0029, -0.033  , -1.3045 , 0.2529, 7.5, -0.5096,  0.    ,  0.0497, 6.75, 1000, 750, 2.5, 3.2, -0.62635, -0.4413 , 0.6647, 0.3932, 0.7723),            ( 0.2  ,  2.73872, 0.0029, -0.03462, -1.28877, 0.2529, 7.5, -0.5096,  0.    ,  0.0493, 6.75, 1000, 750, 2.5, 3.2, -0.65315, -0.44644, 0.6645, 0.3842, 0.7676),            ( 0.22 ,  2.63479, 0.0029, -0.03789, -1.26125, 0.2529, 7.5, -0.5096,  0.    ,  0.0488, 6.75, 1000, 750, 2.5, 3.2, -0.68711, -0.44872, 0.66  , 0.3887, 0.766 ),            ( 0.24 ,  2.53886, 0.0029, -0.04173, -1.236  , 0.2529, 7.5, -0.5096,  0.    ,  0.0483, 6.75, 1000, 750, 2.5, 3.2, -0.72744, -0.46341, 0.6651, 0.3792, 0.7656),            ( 0.26 ,  2.48747, 0.0029, -0.04768, -1.21882, 0.2529, 7.5, -0.5096,  0.    ,  0.0478, 6.75, 1000, 750, 2.5, 3.2, -0.77335, -0.48705, 0.665 , 0.3754, 0.7636),            ( 0.28 ,  2.38739, 0.0029, -0.05178, -1.19543, 0.2529, 7.5, -0.5096,  0.    ,  0.0474, 6.75, 1000, 750, 2.5, 3.2, -0.80508, -0.47334, 0.659 , 0.3757, 0.7586),            ( 0.3  ,  2.3015 , 0.0029, -0.05672, -1.17072, 0.2529, 7.5, -0.5096,  0.    ,  0.0469, 6.75, 1000, 750, 2.5, 3.2, -0.82609, -0.4573 , 0.6599, 0.3816, 0.7623),            ( 0.32 ,  2.17298, 0.0029, -0.06015, -1.13847, 0.2529, 7.5, -0.5096,  0.    ,  0.0464, 6.75, 1000, 750, 2.5, 3.2, -0.8408 , -0.44267, 0.6654, 0.3866, 0.7696),            ( 0.34 ,  2.07474, 0.0029, -0.06508, -1.11131, 0.2529, 7.5, -0.5096,  0.    ,  0.0459, 6.75, 1000, 750, 2.5, 3.2, -0.86251, -0.43888, 0.6651, 0.3881, 0.7701),            ( 0.36 ,  2.01953, 0.0029, -0.06974, -1.09484, 0.2529, 7.5, -0.5096,  0.    ,  0.0459, 6.75, 1000, 750, 2.5, 3.2, -0.87479, -0.4382 , 0.6662, 0.3924, 0.7732),            ( 0.38 ,  1.95078, 0.0029, -0.07346, -1.07812, 0.2529, 7.5, -0.5096,  0.    ,  0.0429, 6.75, 1000, 750, 2.5, 3.2, -0.88522, -0.43678, 0.6698, 0.3945, 0.7773),            ( 0.4  ,  1.89372, 0.0029, -0.07684, -1.0653 , 0.2529, 7.5, -0.5096,  0.    ,  0.04  , 6.75, 1000, 750, 2.5, 3.2, -0.89517, -0.43008, 0.6697, 0.3962, 0.7781),            ( 0.42 ,  1.83717, 0.0029, -0.0801 , -1.05451, 0.2529, 7.5, -0.5096,  0.    ,  0.0374, 6.75, 1000, 750, 2.5, 3.2, -0.90875, -0.4219 , 0.6696, 0.389 , 0.7744),            ( 0.44 ,  1.77528, 0.0029, -0.08296, -1.04332, 0.2529, 7.5, -0.5096,  0.    ,  0.0349, 6.75, 1000, 750, 2.5, 3.2, -0.91922, -0.40903, 0.6641, 0.3929, 0.7716),            ( 0.46 ,  1.73155, 0.0029, -0.08623, -1.03572, 0.2529, 7.5, -0.5096,  0.    ,  0.0323, 6.75, 1000, 750, 2.5, 3.2, -0.9267 , -0.39442, 0.6575, 0.4009, 0.7701),            ( 0.48 ,  1.70132, 0.0029, -0.0907 , -1.02724, 0.2529, 7.5, -0.5096,  0.    ,  0.0297, 6.75, 1000, 750, 2.5, 3.2, -0.9372 , -0.38462, 0.654 , 0.4022, 0.7678),            ( 0.5  ,  1.67127, 0.0029, -0.0949 , -1.01909, 0.2529, 7.5, -0.5096,  0.    ,  0.0271, 6.75, 1000, 750, 2.5, 3.2, -0.94614, -0.37408, 0.6512, 0.4021, 0.7653),            ( 0.55 ,  1.53838, 0.0029, -0.10275, -0.99351, 0.2529, 7.5, -0.5096,  0.    ,  0.0245, 6.75, 1000, 750, 2.5, 3.2, -0.96564, -0.35582, 0.657 , 0.4057, 0.7722),            ( 0.6  ,  1.37505, 0.0029, -0.10747, -0.96429, 0.2529, 7.5, -0.5096,  0.    ,  0.0219, 6.75, 1000, 750, 2.5, 3.2, -0.98499, -0.34053, 0.663 , 0.406 , 0.7774),            ( 0.65 ,  1.21156, 0.0029, -0.11262, -0.93347, 0.2529, 7.5, -0.5096,  0.    ,  0.0193, 6.75, 1000, 750, 2.5, 3.2, -0.99733, -0.30949, 0.6652, 0.4124, 0.7827),            ( 0.7  ,  1.09262, 0.0029, -0.11835, -0.91162, 0.2529, 7.5, -0.5096,  0.    ,  0.0167, 6.75, 1000, 750, 2.5, 3.2, -1.00469, -0.28772, 0.6696, 0.4135, 0.787 ),            ( 0.75 ,  0.95211, 0.0029, -0.12347, -0.88393, 0.2529, 7.5, -0.5096,  0.    ,  0.0141, 6.75, 1000, 750, 2.5, 3.2, -1.00786, -0.28957, 0.6744, 0.4043, 0.7863),            ( 0.8  ,  0.85227, 0.0029, -0.12678, -0.86884, 0.2529, 7.5, -0.5096,  0.    ,  0.0115, 6.75, 1000, 750, 2.5, 3.2, -1.00606, -0.28555, 0.6716, 0.3974, 0.7804),            ( 0.85 ,  0.76564, 0.0029, -0.13133, -0.85442, 0.2529, 7.5, -0.5096,  0.    ,  0.0089, 6.75, 1000, 750, 2.5, 3.2, -1.01093, -0.28364, 0.6713, 0.3971, 0.78  ),            ( 0.9  ,  0.66856, 0.0029, -0.13551, -0.83929, 0.2529, 7.5, -0.5096,  0.    ,  0.0062, 6.75, 1000, 750, 2.5, 3.2, -1.01576, -0.28037, 0.6738, 0.3986, 0.7829),            ( 0.95 ,  0.58739, 0.0029, -0.13957, -0.82668, 0.2529, 7.5, -0.5096,  0.    ,  0.0016, 6.75, 1000, 750, 2.5, 3.2, -1.01353, -0.2839 , 0.6767, 0.3949, 0.7835),            ( 1.   ,  0.52349, 0.0029, -0.14345, -0.81838, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.01331, -0.28702, 0.6787, 0.3943, 0.7849),            ( 1.1  ,  0.3768 , 0.0029, -0.15051, -0.79691, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.0124 , -0.27669, 0.6912, 0.3806, 0.7891),            ( 1.2  ,  0.23251, 0.0029, -0.15527, -0.77813, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -1.00489, -0.27538, 0.7015, 0.3802, 0.7979),            ( 1.3  ,  0.10481, 0.0029, -0.16106, -0.75888, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.98876, -0.25008, 0.7017, 0.3803, 0.7981),            ( 1.4  ,  0.00887, 0.0029, -0.16654, -0.74871, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.9776 , -0.23508, 0.7141, 0.3766, 0.8073),            ( 1.5  , -0.01867, 0.0029, -0.17187, -0.75751, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.98071, -0.24695, 0.7164, 0.3799, 0.8109),            ( 1.6  , -0.0996 , 0.0029, -0.17728, -0.74823, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.96369, -0.2287 , 0.7198, 0.3817, 0.8147),            ( 1.7  , -0.21166, 0.0029, -0.17908, -0.73766, 0.2529, 7.5, -0.5096,  0.    ,  0.    , 6.75, 1000, 750, 2.5, 3.2, -0.94634, -0.21655, 0.7226, 0.3724, 0.8129),            ( 1.8  , -0.273  , 0.0029, -0.18438, -0.72996, 0.2529, 7.5, -0.5096,  0.    , -0.003 , 6.75, 1000, 750, 2.5, 3.2, -0.93606, -0.20302, 0.7241, 0.371 , 0.8136),            ( 1.9  , -0.35366, 0.0029, -0.18741, -0.72279, 0.2529, 7.5, -0.5096,  0.    , -0.006 , 6.75, 1000, 750, 2.5, 3.2, -0.91408, -0.18228, 0.7266, 0.3745, 0.8174),            ( 2.   , -0.42891, 0.0029, -0.19029, -0.72033, 0.2529, 7.5, -0.5096,  0.    , -0.009 , 6.75, 1000, 750, 2.5, 3.2, -0.91007, -0.17336, 0.7254, 0.3717, 0.8151),            ( 2.2  , -0.55307, 0.0029, -0.19683, -0.71662, 0.2529, 7.5, -0.5096,  0.    , -0.0141, 6.75, 1000, 750, 2.5, 3.2, -0.89376, -0.15463, 0.7207, 0.3758, 0.8128),            ( 2.4  , -0.67806, 0.0029, -0.20339, -0.70452, 0.2529, 7.5, -0.5096,  0.    , -0.0284, 6.75, 1000, 750, 2.5, 3.2, -0.87052, -0.13181, 0.7144, 0.3973, 0.8174),            ( 2.6  , -0.80494, 0.0029, -0.20703, -0.69691, 0.2529, 7.5, -0.5096,  0.    , -0.0408, 6.75, 1000, 750, 2.5, 3.2, -0.85889, -0.14066, 0.7122, 0.4001, 0.8169),            ( 2.8  , -0.91278, 0.0029, -0.21074, -0.6956 , 0.2529, 7.5, -0.5096,  0.    , -0.0534, 6.75, 1000, 750, 2.5, 3.2, -0.86106, -0.13882, 0.7129, 0.4025, 0.8187),            ( 3.   , -1.05642, 0.0029, -0.21392, -0.69085, 0.2529, 7.5, -0.5096,  0.    , -0.0683, 6.75, 1000, 750, 2.5, 3.2, -0.85793, -0.13336, 0.6997, 0.4046, 0.8083),            ( 3.2  , -1.17715, 0.0029, -0.21361, -0.67711, 0.2529, 7.5, -0.5096,  0.    , -0.078 , 6.75, 1000, 750, 2.5, 3.2, -0.82094, -0.1377 , 0.682 , 0.4194, 0.8006),            ( 3.4  , -1.22091, 0.0029, -0.21951, -0.68177, 0.2529, 7.5, -0.5096,  0.    , -0.0943, 6.75, 1000, 750, 2.5, 3.2, -0.84449, -0.15337, 0.6682, 0.3971, 0.7773),            ( 3.6  , -1.34547, 0.0029, -0.22724, -0.65918, 0.2529, 7.5, -0.5096,  0.    , -0.1278, 6.75, 1000, 750, 2.5, 3.2, -0.83216, -0.10884, 0.6508, 0.4211, 0.7752),            ( 3.8  , -1.3979 , 0.0029, -0.2318 , -0.65298, 0.2529, 7.5, -0.5096,  0.    , -0.1744, 6.75, 1000, 750, 2.5, 3.2, -0.79216, -0.08884, 0.6389, 0.415 , 0.7619),            ( 4.   , -1.37536, 0.0029, -0.23848, -0.66482, 0.2529, 7.5, -0.5096,  0.    , -0.2231, 6.75, 1000, 750, 2.5, 3.2, -0.75645, -0.07749, 0.6196, 0.3566, 0.7149)],           dtype=[('period', '<f8'), ('a_1', '<f8'), ('a_2', '<f8'), ('a_3', '<f8'), ('a_4', '<f8'), ('a_5', '<f8'), ('a_6', '<f8'), ('a_7', '<f8'), ('a_8', '<f8'), ('a_9', '<f8'), ('c_1', '<f8'), ('v_con', '<i8'), ('v_ref', '<i8'), ('c', '<f8'), ('n', '<f8'), ('b_1', '<f8'), ('b_2', '<f8'), ('sd_within', '<f8'), ('sd_between', '<f8'), ('sd_total', '<f8')])}

PERIODS = array([ 0.   , -1.   ,  0.01 ,  0.02 ,  0.03 ,  0.04 ,  0.05 ,  0.075,         0.1  ,  0.11 ,  0.12 ,  0.13 ,  0.14 ,  0.15 ,  0.16 ,  0.17 ,         0.18 ,  0.19 ,  0.2  ,  0.22 ,  0.24 ,  0.26 ,  0.28 ,  0.3  ,         0.32 ,  0.34 ,  0.36 ,  0.38 ,  0.4  ,  0.42 ,  0.44 ,  0.46 ,         0.48 ,  0.5  ,  0.55 ,  0.6  ,  0.65 ,  0.7  ,  0.75 ,  0.8  ,         0.85 ,  0.9  ,  0.95 ,  1.   ,  1.1  ,  1.2  ,  1.3  ,  1.4  ,         1.5  ,  1.6  ,  1.7  ,  1.8  ,  1.9  ,  2.   ,  2.2  ,  2.4  ,         2.6  ,  2.8  ,  3.   ,  3.2  ,  3.4  ,  3.6  ,  3.8  ,  4.   ])

Indices of the periods

INDICES_PSA = array([ 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])

Indices for the spectral accelerations

INDEX_PGA = 0

Index of the peak ground acceleration

INDEX_PGV = 1

Index of the peak ground velocity

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

class pygmm.AtkinsonBoore2006(scenario: Scenario)

Bases: GroundMotionModel

Atkinson and Boore (2006, []) model.

Developed for the Eastern North America with a reference velocity of 760 or 2000 m/s.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Atkinson and Boore (2006)'

Long name of the model

ABBREV = 'AB06'

Short name of the model

COEFF = {'bc': rec.array([(-2.   , -3.09  , 0.828 , -0.008541, -2.381, 0.1782, -1.643 , 0.1628 ,  0.581  , -0.145  , -0.0002337),            (-1.   , -1.662 , 1.05  , -0.06035 , -2.496, 0.184 , -2.301 , 0.25   ,  0.1268 , -0.08704, -0.0004266),            ( 0.   ,  0.5233, 0.9686, -0.06196 , -2.439, 0.1465, -2.335 , 0.1912 , -0.08695, -0.08285, -0.0006304),            ( 0.025,  1.052 , 0.903 , -0.05768 , -2.571, 0.1483, -2.652 , 0.2065 , -0.4084 , -0.05769, -0.0005122),            ( 0.031,  1.191 , 0.8884, -0.05642 , -2.577, 0.1451, -2.84  , 0.2121 , -0.437  , -0.05866, -0.0004329),            ( 0.04 ,  1.261 , 0.8789, -0.05515 , -2.536, 0.1388, -2.994 , 0.2158 , -0.3908 , -0.06746, -0.0003881),            ( 0.05 ,  1.209 , 0.883 , -0.05441 , -2.44 , 0.1295, -3.035 , 0.2133 , -0.2098 , -0.08997, -0.0004145),            ( 0.063,  1.109 , 0.8875, -0.05386 , -2.334, 0.1229, -2.881 , 0.2007 , -0.03189, -0.1069 , -0.0005483),            ( 0.079,  0.9667, 0.9033, -0.05476 , -2.249, 0.1215, -2.53  , 0.1775 ,  0.1001 , -0.1147 , -0.0007724),            ( 0.1  ,  0.7818, 0.9235, -0.05555 , -2.165, 0.1191, -2.097 , 0.1483 ,  0.2847 , -0.1319 , -0.0009897),            ( 0.125,  0.5356, 0.9647, -0.05835 , -2.11 , 0.1205, -1.672 , 0.1156 ,  0.3433 , -0.1322 , -0.00113  ),            ( 0.158,  0.1194, 1.057 , -0.06473 , -2.054, 0.119 , -1.355 , 0.0916 ,  0.5164 , -0.1503 , -0.001178 ),            ( 0.199, -0.3056, 1.156 , -0.07211 , -2.038, 0.122 , -1.147 , 0.07375,  0.5082 , -0.143  , -0.00114  ),            ( 0.251, -0.8756, 1.293 , -0.08193 , -2.014, 0.1226, -1.027 , 0.06341,  0.5808 , -0.1491 , -0.001053 ),            ( 0.315, -1.56  , 1.455 , -0.09312 , -1.977, 0.1209, -0.9466, 0.05576,  0.6499 , -0.1558 , -0.0009552),            ( 0.397, -2.281 , 1.629 , -0.1054  , -1.967, 0.1227, -0.888 , 0.05033,  0.6839 , -0.1582 , -0.0008587),            ( 0.5  , -3.007 , 1.803 , -0.1178  , -1.982, 0.1274, -0.8466, 0.04698,  0.667  , -0.1546 , -0.0007676),            ( 0.629, -3.748 , 1.973 , -0.1294  , -1.997, 0.1313, -0.8417, 0.0482 ,  0.6772 , -0.1557 , -0.0006763),            ( 0.794, -4.446 , 2.119 , -0.1387  , -2.009, 0.1356, -0.8576, 0.04976,  0.7084 , -0.1589 , -0.0005751),            ( 1.   , -5.058 , 2.233 , -0.1454  , -2.03 , 0.1408, -0.8744, 0.05412,  0.7922 , -0.1697 , -0.0004886),            ( 1.25 , -5.489 , 2.289 , -0.1476  , -2.081, 0.1501, -0.9   , 0.05794,  0.8208 , -0.1719 , -0.000407 ),            ( 1.587, -5.754 , 2.287 , -0.145   , -2.131, 0.1582, -0.9568, 0.06762,  0.867  , -0.1789 , -0.0003429),            ( 2.   , -5.853 , 2.233 , -0.1385  , -2.195, 0.1688, -1.037 , 0.08002,  0.8666 , -0.179  , -0.000286 ),            ( 2.5  , -5.8   , 2.126 , -0.1278  , -2.257, 0.179 , -1.123 , 0.09539,  0.8911 , -0.1797 , -0.0002601),            ( 3.125, -5.59  , 1.972 , -0.1136  , -2.331, 0.1908, -1.204 , 0.1099 ,  0.8449 , -0.1723 , -0.0002452),            ( 4.   , -5.256 , 1.787 , -0.09785 , -2.435, 0.2068, -1.307 , 0.121  ,  0.734  , -0.156  , -0.0001959),            ( 5.   , -4.852 , 1.58  , -0.08066 , -2.53 , 0.2216, -1.426 , 0.1361 ,  0.634  , -0.1413 , -0.0001608)],           dtype=[('period', '<f8'), ('c_1', '<f8'), ('c_2', '<f8'), ('c_3', '<f8'), ('c_4', '<f8'), ('c_5', '<f8'), ('c_6', '<f8'), ('c_7', '<f8'), ('c_8', '<f8'), ('c_9', '<f8'), ('c_10', '<f8')]), 'rock': rec.array([(-2.   , -2.82  , 0.7491, -0.004196, -2.611, 0.2157, -1.671 , 0.1643 ,  0.7452 , -0.1547 , -1.917e-04),            (-1.   , -1.442 , 0.9909, -0.05848 , -2.701, 0.2155, -2.436 , 0.2659 ,  0.08479, -0.06927, -3.734e-04),            ( 0.   ,  0.9069, 0.983 , -0.06595 , -2.698, 0.1594, -2.795 , 0.212  , -0.3011 , -0.06532, -4.484e-04),            ( 0.025,  1.522 , 0.9597, -0.06351 , -2.813, 0.1458, -3.654 , 0.2362 , -0.6544 , -0.055  , -4.848e-05),            ( 0.031,  1.436 , 0.9592, -0.06276 , -2.714, 0.14  , -3.728 , 0.2343 , -0.543  , -0.06448, -3.230e-05),            ( 0.04 ,  1.264 , 0.968 , -0.06232 , -2.581, 0.1317, -3.644 , 0.2276 , -0.3506 , -0.08126, -1.225e-04),            ( 0.05 ,  1.105 , 0.9719, -0.06197 , -2.466, 0.1276, -3.39  , 0.2144 , -0.1391 , -0.09839, -3.167e-04),            ( 0.063,  0.9109, 0.9802, -0.06208 , -2.36 , 0.1263, -2.972 , 0.191  ,  0.1069 , -0.1173 , -5.786e-04),            ( 0.079,  0.6906, 0.9974, -0.06276 , -2.262, 0.1246, -2.487 , 0.1636 ,  0.2139 , -0.1207 , -8.469e-04),            ( 0.1  ,  0.4797, 1.017 , -0.06404 , -2.201, 0.127 , -2.007 , 0.1326 ,  0.3371 , -0.1266 , -1.047e-03),            ( 0.125,  0.2144, 1.054 , -0.06664 , -2.154, 0.1295, -1.608 , 0.1046 ,  0.4273 , -0.1303 , -1.153e-03),            ( 0.158, -0.1455, 1.123 , -0.07143 , -2.116, 0.1302, -1.303 , 0.08311,  0.5617 , -0.1438 , -1.182e-03),            ( 0.199, -0.6153, 1.227 , -0.07886 , -2.087, 0.1312, -1.12  , 0.06788,  0.6055 , -0.1459 , -1.125e-03),            ( 0.251, -1.121 , 1.342 , -0.08722 , -2.082, 0.1349, -0.9714, 0.05628,  0.614  , -0.1432 , -1.055e-03),            ( 0.315, -1.721 , 1.483 , -0.09739 , -2.08 , 0.1382, -0.8893, 0.04869,  0.6101 , -0.1389 , -9.538e-04),            ( 0.397, -2.437 , 1.649 , -0.1084  , -2.051, 0.1363, -0.8426, 0.04483,  0.7386 , -0.1557 , -8.509e-04),            ( 0.5  , -3.216 , 1.826 , -0.1201  , -2.018, 0.1344, -0.8134, 0.04437,  0.8839 , -0.1751 , -7.704e-04),            ( 0.629, -3.917 , 1.987 , -0.1314  , -2.045, 0.1419, -0.7818, 0.04297,  0.7878 , -0.159  , -6.948e-04),            ( 0.794, -4.604 , 2.132 , -0.1406  , -2.062, 0.1468, -0.7974, 0.04345,  0.7748 , -0.1558 , -5.790e-04),            ( 1.   , -5.272 , 2.264 , -0.1483  , -2.069, 0.1497, -0.8132, 0.04666,  0.8262 , -0.1622 , -4.862e-04),            ( 1.25 , -5.724 , 2.324 , -0.1505  , -2.104, 0.1565, -0.8202, 0.05186,  0.8563 , -0.1661 , -4.329e-04),            ( 1.587, -6.043 , 2.342 , -0.1496  , -2.157, 0.1662, -0.8704, 0.06047,  0.9207 , -0.1734 , -3.748e-04),            ( 2.   , -6.183 , 2.302 , -0.1442  , -2.223, 0.177 , -0.937 , 0.07067,  0.9518 , -0.1768 , -3.220e-04),            ( 2.5  , -6.169 , 2.211 , -0.1348  , -2.299, 0.1898, -0.986 , 0.0786 ,  0.9683 , -0.1765 , -2.823e-04),            ( 3.125, -6.038 , 2.08  , -0.1221  , -2.367, 0.2002, -1.073 , 0.0895 ,  1.002  , -0.1803 , -2.306e-04),            ( 4.   , -5.791 , 1.916 , -0.1071  , -2.441, 0.2113, -1.162 , 0.1018 ,  1.012  , -0.1824 , -2.010e-04),            ( 5.   , -5.408 , 1.714 , -0.09012 , -2.537, 0.2267, -1.268 , 0.1162 ,  0.9792 , -0.1767 , -1.757e-04)],           dtype=[('period', '<f8'), ('c_1', '<f8'), ('c_2', '<f8'), ('c_3', '<f8'), ('c_4', '<f8'), ('c_5', '<f8'), ('c_6', '<f8'), ('c_7', '<f8'), ('c_8', '<f8'), ('c_9', '<f8'), ('c_10', '<f8')])}

PERIODS = array([-2.   , -1.   ,  0.   ,  0.025,  0.031,  0.04 ,  0.05 ,  0.063,         0.079,  0.1  ,  0.125,  0.158,  0.199,  0.251,  0.315,  0.397,         0.5  ,  0.629,  0.794,  1.   ,  1.25 ,  1.587,  2.   ,  2.5  ,         3.125,  4.   ,  5.   ])

Indices of the periods

COEFF_SITE = rec.array([(-1.    , -0.6  , -0.495, -0.06 ),            ( 0.    , -0.361, -0.641, -0.144),            ( 0.025 , -0.33 , -0.624, -0.115),            ( 0.0313, -0.322, -0.618, -0.108),            ( 0.04  , -0.314, -0.609, -0.105),            ( 0.05  , -0.286, -0.643, -0.105),            ( 0.0629, -0.249, -0.642, -0.105),            ( 0.0794, -0.232, -0.637, -0.117),            ( 0.1   , -0.25 , -0.595, -0.132),            ( 0.125 , -0.26 , -0.56 , -0.14 ),            ( 0.1587, -0.28 , -0.528, -0.185),            ( 0.2   , -0.306, -0.521, -0.185),            ( 0.25  , -0.39 , -0.518, -0.16 ),            ( 0.3125, -0.445, -0.513, -0.13 ),            ( 0.4   , -0.5  , -0.508, -0.095),            ( 0.5   , -0.6  , -0.495, -0.06 ),            ( 0.625 , -0.67 , -0.48 , -0.031),            ( 0.7692, -0.69 , -0.465, -0.002),            ( 1.    , -0.7  , -0.44 ,  0.   ),            ( 1.5873, -0.726, -0.395,  0.   ),            ( 2.    , -0.73 , -0.375,  0.   ),            ( 3.125 , -0.74 , -0.33 ,  0.   ),            ( 4.    , -0.745, -0.31 ,  0.   ),            ( 5.    , -0.752, -0.3  ,  0.   )],           dtype=[('period', '<f8'), ('b_lin', '<f8'), ('b_1', '<f8'), ('b_2', '<f8')])

COEFF_SF = rec.array([(-1.    , 0.11, 2.  , 5.5 ), ( 0.0101, 0.15, 0.5 , 5.5 ),            ( 0.025 , 0.15, 0.  , 5.  ), ( 0.0315, 0.15, 0.  , 5.  ),            ( 0.0396, 0.15, 0.  , 5.  ), ( 0.0499, 0.15, 0.  , 5.  ),            ( 0.0629, 0.15, 0.17, 5.17), ( 0.0791, 0.15, 0.34, 5.34),            ( 0.0996, 0.15, 0.5 , 5.5 ), ( 0.1255, 0.15, 1.15, 5.67),            ( 0.158 , 0.15, 1.85, 5.84), ( 0.1988, 0.15, 2.5 , 6.  ),            ( 0.2506, 0.15, 2.9 , 6.12), ( 0.3155, 0.15, 3.3 , 6.25),            ( 0.3968, 0.15, 3.65, 6.37), ( 0.5   , 0.15, 4.  , 6.5 ),            ( 0.6289, 0.15, 4.17, 6.7 ), ( 0.7937, 0.15, 4.34, 6.95),            ( 1.    , 0.15, 4.5 , 7.2 ), ( 1.25  , 0.15, 4.67, 7.45),            ( 1.5873, 0.15, 4.84, 7.7 ), ( 2.    , 0.15, 5.  , 8.  ),            ( 2.5   , 0.15, 5.25, 8.12), ( 3.125 , 0.15, 5.5 , 8.25),            ( 4.    , 0.15, 5.75, 8.37), ( 5.    , 0.15, 6.  , 8.5 )],           dtype=[('period', '<f8'), ('delta', '<f8'), ('m_1', '<f8'), ('m_h', '<f8')])

INDEX_PGD = 0

Index of the peak ground displacement

INDEX_PGV = 1

Index of the peak ground velocity

INDEX_PGA = 2

Index of the peak ground acceleration

INDICES_PSA = array([ 3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19,        20, 21, 22, 23, 24, 25, 26])

Indices for the spectral accelerations

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>]

Model parameters

class pygmm.BaylessAbrahamson2019(scenario: Scenario)

Bases: Model

Bayless and Abrahamson (2019, []) model.

This Fourier-amplitude spectra model was developed for active tectonic regions.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Bayless and Abrahamson (2019)'

Long name of the model

ABBREV = 'BA19'

Short name of the model

V_REF = 760.0

COEFF = rec.array([(  0.1       , -3.64999999, 1.27, 3.48570651,  1.55229047, 6.79837319, -1.86, 7.5818    , 0.45      , 3.838     , -9.93000000e-11, -0.74323172, -0.03120535, -0.2,  4.35485418e-01,  2.64594096e-01,  0.20682464,  0.07692587,  1.62699640e-01, 0.55708674, 0.42874443, 0.35      , 0.35      , 0.40357117, 0.40357117, 1.        , -1.00000000e-04, -0.02      ),            (  0.1023293 , -3.64774629, 1.27, 3.48135744,  1.56280494, 6.78618509, -1.86, 7.5818    , 0.45      , 3.838     , -2.63000000e-05, -0.74951119, -0.03121739, -0.2,  4.36075163e-01,  2.65781871e-01,  0.20791936,  0.07910148,  1.71104361e-01, 0.55708674, 0.42874443, 0.350891  , 0.350891  , 0.40385913, 0.40385913, 1.        , -1.00000000e-04, -0.02      ),            (  0.1047129 , -3.64549259, 1.27, 3.47697321,  1.57347045, 6.77400788, -1.86, 7.5818    , 0.45      , 3.838     , -5.26000000e-05, -0.75578438, -0.03122943, -0.2,  4.36647677e-01,  2.66947551e-01,  0.20901142,  0.08127697,  1.78404274e-01, 0.55708674, 0.42874443, 0.35178199, 0.35178199, 0.40414709, 0.40414709, 1.        , -1.00000000e-04, -0.02      ),            (  0.10715192, -3.64323888, 1.27, 3.47255445,  1.5842909 , 6.76184117, -1.86, 7.5818    , 0.45      , 3.838     , -7.89000000e-05, -0.76205216, -0.03124147, -0.2,  4.37202834e-01,  2.68090625e-01,  0.21010067,  0.08345206,  1.84615660e-01, 0.55708674, 0.42874443, 0.35267298, 0.35267298, 0.40443505, 0.40443505, 1.        , -1.00000000e-04, -0.02      ),            (  0.10964782, -3.64098518, 1.27, 3.46810037,  1.59526954, 6.74968441, -1.86, 7.5818    , 0.45      , 3.838     , -1.05206598e-04, -0.76831565, -0.03125351, -0.2,  4.37740687e-01,  2.69210781e-01,  0.21118699,  0.08562641,  1.89759046e-01, 0.55708674, 0.42874443, 0.35356397, 0.35356397, 0.40472301, 0.40472301, 1.        , -1.00000000e-04, -0.02      ),            (  0.11220184, -3.63873148, 1.27, 3.46361152,  1.60641087, 6.7375368 , -1.86, 7.5818    , 0.45      , 3.838     , -1.31508223e-04, -0.7745762 , -0.03126555, -0.2,  4.38261360e-01,  2.70307895e-01,  0.21227027,  0.08779961,  1.93857986e-01, 0.55708674, 0.42874443, 0.35445497, 0.35445497, 0.40501097, 0.40501097, 1.        , -1.00000000e-04, -0.02      ),            (  0.1148154 , -3.63647778, 1.27, 3.45908794,  1.61771926, 6.72539724, -1.86, 7.5818    , 0.45      , 3.838     , -1.57809847e-04, -0.78083528, -0.03127759, -0.2,  4.38764986e-01,  2.71382000e-01,  0.21335041,  0.08997123,  1.96938218e-01, 0.55708674, 0.42874443, 0.35534596, 0.35534596, 0.40529893, 0.40529893, 1.        , -1.00000000e-04, -0.02      ),            (  0.1174898 , -3.63422408, 1.27, 3.45453058,  1.62919996, 6.71326429, -1.86, 7.5818    , 0.45      , 3.838     , -1.84111472e-04, -0.78709441, -0.03128962, -0.2,  4.39251717e-01,  2.72433283e-01,  0.21442731,  0.09214076,  1.99026826e-01, 0.55708674, 0.42874443, 0.35623695, 0.35623695, 0.40558689, 0.40558689, 1.        , -1.00000000e-04, -0.02      ),            (  0.12022643, -3.63197038, 1.27, 3.44994029,  1.64085838, 6.70113615, -1.86, 7.5818    , 0.45      , 3.838     , -2.10413097e-04, -0.79335512, -0.03130166, -0.2,  4.39721764e-01,  2.73462104e-01,  0.21550088,  0.09430763,  2.00151100e-01, 0.55708674, 0.42874443, 0.35712794, 0.35712794, 0.40587485, 0.40587485, 1.        , -1.00000000e-04, -0.02      ),            (  0.1230269 , -3.62971667, 1.27, 3.4453173 ,  1.65269966, 6.68901072, -1.86, 7.5818    , 0.45      , 3.838     , -2.36714721e-04, -0.79961884, -0.03131369, -0.2,  4.40175424e-01,  2.74469003e-01,  0.21657103,  0.09647125,  2.00337034e-01, 0.55708674, 0.42874443, 0.35801894, 0.35801894, 0.40616281, 0.40616281, 1.        , -1.00000000e-04, -0.02      ),            (  0.12589254, -3.62746297, 1.27, 3.4406634 ,  1.6647304 , 6.67688561, -1.86, 7.5818    , 0.45      , 3.838     , -2.63016346e-04, -0.80588681, -0.03132572, -0.2,  4.40613064e-01,  2.75454661e-01,  0.2176377 ,  0.09863105,  1.99606688e-01, 0.55708674, 0.42874443, 0.35890993, 0.35890993, 0.40645077, 0.40645077, 1.        , -1.00000000e-04, -0.02      ),            (  0.12882494, -3.62520927, 1.27, 3.4359795 ,  1.6769569 , 6.66475824, -1.86, 7.5818    , 0.45      , 3.838     , -2.89317971e-04, -0.8121601 , -0.03133776, -0.2,  4.41035083e-01,  2.76419831e-01,  0.21870083,  0.10078644,  1.97975809e-01, 0.55708674, 0.42874443, 0.35980092, 0.35980092, 0.40673872, 0.40673872, 1.        , -1.00000000e-04, -0.02      ),            (  0.1318257 , -3.62295557, 1.27, 3.4312665 ,  1.68938576, 6.65262624, -1.86, 7.5818    , 0.45      , 3.838     , -3.15619596e-04, -0.81843972, -0.03134979, -0.2,  4.41441852e-01,  2.77365244e-01,  0.21976031,  0.10293683,  1.95453497e-01, 0.55708674, 0.42874443, 0.36069191, 0.36069191, 0.40702668, 0.40702668, 1.        , -1.00000000e-04, -0.02      ),            (  0.1348963 , -3.62070187, 1.27, 3.42652573,  1.70202156, 6.64048763, -1.86, 7.5818    , 0.45      , 3.8379885 , -3.41921221e-04, -0.82472668, -0.03136182, -0.2,  4.41833690e-01,  2.78291566e-01,  0.22081605,  0.10508167,  1.92038028e-01, 0.55708674, 0.42874443, 0.3615829 , 0.3615829 , 0.40731464, 0.40731464, 1.        , -1.00000000e-04, -0.02      ),            (  0.13803841, -3.61844816, 1.27, 3.42175761,  1.71485141, 6.62834081, -1.86, 7.5818    , 0.45      , 3.83796579, -3.68222845e-04, -0.83102193, -0.03137384, -0.2,  4.42210907e-01,  2.79199401e-01,  0.22186789,  0.10722044,  1.87709097e-01, 0.55708674, 0.42874443, 0.3624739 , 0.3624739 , 0.4076026 , 0.4076026 , 1.        , -1.00000000e-04, -0.02      ),            (  0.14125373, -3.61619446, 1.27, 3.41696142,  1.72752951, 6.61618457, -1.86, 7.5818    , 0.45      , 3.83794307, -3.94524470e-04, -0.83732632, -0.03138587, -0.2,  4.42573860e-01,  2.80089336e-01,  0.22291563,  0.10935264,  1.82414872e-01, 0.55708674, 0.42874443, 0.36336489, 0.36336489, 0.40789056, 0.40789056, 1.        , -1.00000000e-04, -0.02      ),            (  0.144544  , -3.61394076, 1.27, 3.41213798,  1.74029162, 6.60401805, -1.86, 7.5818    , 0.45      , 3.83792036, -4.20826095e-04, -0.84364062, -0.0313979 , -0.2,  4.42922975e-01,  2.80961992e-01,  0.22395903,  0.11147785,  1.76049654e-01, 0.55708674, 0.42874443, 0.36425588, 0.36425588, 0.40817852, 0.40817852, 1.        , -1.00000000e-04, -0.02      ),            (  0.14791083, -3.61168706, 1.27, 3.40728778,  1.7531346 , 6.59184074, -1.86, 7.5818    , 0.45      , 3.83789764, -4.47127719e-04, -0.84996549, -0.03140992, -0.2,  4.43258704e-01,  2.81818010e-01,  0.22499779,  0.1135957 ,  1.68417047e-01, 0.55708674, 0.42874443, 0.36514687, 0.36514687, 0.40846648, 0.40846648, 1.        , -1.00000000e-04, -0.02      ),            (  0.15135611, -3.60943336, 1.27, 3.40241023,  1.76605581, 6.57965251, -1.86, 7.5818    , 0.45      , 3.83787493, -4.73429344e-04, -0.85630156, -0.03142194, -0.2,  4.43581473e-01,  2.82658039e-01,  0.22603157,  0.11570591,  1.59203968e-01, 0.55708674, 0.42874443, 0.36603787, 0.36603787, 0.40875444, 0.40875444, 1.        , -1.00000000e-04, -0.02      ),            (  0.1548817 , -3.60717965, 1.27, 3.39750478,  1.77905379, 6.56745354, -1.86, 7.5818    , 0.45      , 3.83785221, -4.99730969e-04, -0.86264932, -0.03143396, -0.2,  4.43891662e-01,  2.83482760e-01,  0.22705998,  0.11780827,  1.48232307e-01, 0.55708674, 0.42874443, 0.36692886, 0.36692886, 0.4090424 , 0.4090424 , 1.        , -1.00000000e-04, -0.02      ),            (  0.15848931, -3.60492595, 1.27, 3.39257144,  1.79212834, 6.5552443 , -1.86, 7.5818    , 0.45      , 3.83782949, -5.26032594e-04, -0.86900917, -0.03144598, -0.2,  4.44189606e-01,  2.84292919e-01,  0.22808262,  0.11990269,  1.37219962e-01, 0.55708674, 0.42874443, 0.36781985, 0.36781985, 0.40933036, 0.40933036, 1.        , -1.00000000e-04, -0.02      ),            (  0.162181  , -3.60267225, 1.27, 3.38760893,  1.8052788 , 6.54302549, -1.86, 7.5818    , 0.45      , 3.83780678, -5.52334219e-04, -0.87538129, -0.03145799, -0.2,  4.44475599e-01,  2.85089344e-01,  0.22909909,  0.12198913,  1.26377006e-01, 0.55708674, 0.42874443, 0.36871084, 0.36871084, 0.40961832, 0.40961832, 1.        , -1.00000000e-04, -0.02      ),            (  0.1659587 , -3.60041855, 1.27, 3.38261647,  1.81850605, 6.53079809, -1.86, 7.5818    , 0.45      , 3.83778406, -5.78635845e-04, -0.88176553, -0.03147001, -0.2,  4.44749897e-01,  2.85872960e-01,  0.23010899,  0.12406772,  1.15998203e-01, 0.55708674, 0.42874443, 0.36960184, 0.36960184, 0.40990627, 0.40990627, 1.        , -1.00000000e-04, -0.02      ),            (  0.1698244 , -3.59816484, 1.27, 3.37759297,  1.83181273, 6.51856346, -1.86, 7.5818    , 0.45      , 3.83776135, -6.04937470e-04, -0.88816132, -0.03148202, -0.2,  4.45012757e-01,  2.86644771e-01,  0.2311119 ,  0.1261387 ,  1.06304706e-01, 0.55708674, 0.42874443, 0.37049283, 0.37049283, 0.41019423, 0.41019423, 1.        , -1.00000000e-04, -0.02      ),            (  0.1737801 , -3.59591114, 1.27, 3.37253717,  1.84520415, 6.50632343, -1.86, 7.5818    , 0.45      , 3.83773863, -6.31239096e-04, -0.89456781, -0.03149403, -0.2,  4.45264495e-01,  2.87405784e-01,  0.23210739,  0.12820243,  9.74321324e-02, 0.55708674, 0.42874443, 0.37138382, 0.37138382, 0.41048219, 0.41048219, 1.        , -1.00000000e-04, -0.02      ),            (  0.177828  , -3.59365744, 1.27, 3.36744707,  1.85868862, 6.49408025, -1.86, 7.5818    , 0.45      , 3.83771592, -6.57540725e-04, -0.9009839 , -0.03150603, -0.2,  4.45505529e-01,  2.88156953e-01,  0.23309507,  0.13025938,  8.94077653e-02, 0.55708674, 0.42874443, 0.37227481, 0.37227481, 0.41077015, 0.41077015, 1.        , -1.00000000e-04, -0.02      ),            (  0.1819701 , -3.59140374, 1.27, 3.36232121,  1.8722793 , 6.48183657, -1.86, 7.5818    , 0.45      , 3.8376932 , -6.83842411e-04, -0.9074081 , -0.03151804, -0.2,  4.45736362e-01,  2.88899146e-01,  0.23407451,  0.13231013,  8.21907201e-02, 0.55708674, 0.42874443, 0.37316581, 0.37316581, 0.41105811, 0.41105811, 1.        , -1.00000000e-04, -0.02      ),            (  0.18620871, -3.58915003, 1.27, 3.35715707,  1.88599317, 6.4695954 , -1.86, 7.5818    , 0.45      , 3.83767049, -7.10144418e-04, -0.91383849, -0.03153004, -0.2,  4.45957520e-01,  2.89633146e-01,  0.23504537,  0.13435543,  7.57189860e-02, 0.55708674, 0.42874443, 0.3740568 , 0.3740568 , 0.41134607, 0.41134607, 1.        , -1.00000000e-04, -0.02      ),            (  0.1905461 , -3.58689633, 1.27, 3.35195215,  1.89985191, 6.45736023, -1.86, 7.5818    , 0.45      , 3.83764777, -7.36447635e-04, -0.9202726 , -0.03154204, -0.2,  4.46169524e-01,  2.90359633e-01,  0.23600733,  0.13639623,  6.99598465e-02, 0.55708674, 0.42874443, 0.37494779, 0.37494779, 0.41163403, 0.41163403, 1.        , -1.00000000e-04, -0.02      ),            (  0.19498443, -3.58464263, 1.27, 3.34670401,  1.91388139, 6.44513523, -1.86, 7.5818    , 0.45      , 3.83762506, -7.62754267e-04, -0.92670733, -0.03155403, -0.2,  4.46372810e-01,  2.91079127e-01,  0.23696022,  0.1384338 ,  6.48942802e-02, 0.55708674, 0.42874443, 0.37583878, 0.37583878, 0.41192199, 0.41192199, 1.        , -1.00000000e-04, -0.02      ),            (  0.1995262 , -3.58238893, 1.27, 3.34140878,  1.92810884, 6.43292547, -1.86, 7.5818    , 0.45      , 3.83760234, -7.89068807e-04, -0.9331388 , -0.03156523, -0.2,  4.46567496e-01,  2.91791912e-01,  0.23790401,  0.14046975,  6.04319743e-02, 0.55708674, 0.42874443, 0.37672978, 0.37672978, 0.41220995, 0.41220995, 1.        , -1.00000000e-04, -0.02      ),            (  0.2041738 , -3.58013523, 1.27, 3.33606229,  1.94256181, 6.42073733, -1.86, 7.5818    , 0.45000926, 3.83753521, -8.15399187e-04, -0.93956212, -0.03157553, -0.2,  4.46753212e-01,  2.92497912e-01,  0.23883882,  0.14250618,  5.63546477e-02, 0.55708674, 0.42874443, 0.37762077, 0.37762077, 0.41249791, 0.41249791, 1.        , -1.00000000e-04, -0.02      ),            (  0.20892961, -3.57788153, 1.27, 3.33065952,  1.95726483, 6.4085788 , -1.86, 7.5818    , 0.45001957, 3.83746298, -8.41757961e-04, -0.94597097, -0.0315843 , -0.2,  4.46929003e-01,  2.93196447e-01,  0.23976496,  0.14454567,  5.24246342e-02, 0.55708674, 0.42874443, 0.37851176, 0.37851176, 0.41278586, 0.41278586, 1.        , -1.00000000e-04, -0.02      ),            (  0.2137962 , -3.57562782, 1.27, 3.32519371,  1.97223559, 6.39646012, -1.86, 7.5818    , 0.45002989, 3.83739074, -8.68163368e-04, -0.95235724, -0.03159071, -0.2,  4.47093038e-01,  2.93885751e-01,  0.24068279,  0.14659135,  4.84484274e-02, 0.55708674, 0.42874443, 0.37940275, 0.37940275, 0.41307382, 0.41307382, 1.        , -1.00000000e-04, -0.02      ),            (  0.2187762 , -3.57337412, 1.27, 3.31965613,  1.98748237, 6.38439468, -1.86, 7.5818    , 0.45004021, 3.83731851, -8.94640164e-04, -0.95871043, -0.03159372, -0.2,  4.47241879e-01,  2.94562040e-01,  0.24159265,  0.14864696,  4.43139384e-02, 0.55708674, 0.42874443, 0.38029375, 0.38029375, 0.41336178, 0.41336178, 1.        , -1.00000000e-04, -0.02      ),            (  0.22387212, -3.57112042, 1.27, 3.31403581,  2.00300333, 6.37240032, -1.86, 7.5818    , 0.45005053, 3.83724628, 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0.38563972, 0.41508954, 0.41508954, 1.        , -1.00000000e-04, -0.02      ),            (  0.25703954, -3.55759821, 1.27, 3.27807181,  2.10127408, 6.30269841, -1.86, 7.5818    , 0.4501    , 3.83682278, -1.08549345e-03, -1.00159257, -0.03139488, -0.2,  4.45296679e-01,  2.96294780e-01,  0.2468242 ,  0.16292813,  1.48275716e-02, 0.55708674, 0.42874443, 0.38653069, 0.38653091, 0.4153775 , 0.4153775 , 1.        , -1.00008216e-04, -0.02      ),            (  0.2630268 , -3.55534451, 1.27, 3.27185953,  2.11858573, 6.29119463, -1.86, 7.5818    , 0.4501    , 3.83675875, -1.11421755e-03, -1.00759719, -0.03131439, -0.2,  4.44055056e-01,  2.95672221e-01,  0.24714784,  0.16470088,  1.18021773e-02, 0.55708674, 0.42874443, 0.38742168, 0.38742259, 0.41566546, 0.41566546, 1.        , -1.00089076e-04, -0.02      ),            (  0.26915344, -3.5530908 , 1.27, 3.26562049,  2.13616828, 6.27966286, -1.86, 7.5818    , 0.4501    , 3.83669472, -1.14349637e-03, -1.01354782, -0.03121558, -0.2,  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2.93929705e-03, 0.55708674, 0.42874443, 0.39544042, 0.39557016, 0.41825709, 0.41825709, 1.        , -1.84528103e-04, -0.02      ),            (  0.3311311 , -3.53280749, 1.27, 3.20979696,  2.30652971, 6.17196976, -1.86, 7.5818    , 0.4501    , 3.83611843, -1.44022352e-03, -1.06425592, -0.02926686, -0.2,  4.22970035e-01,  2.83358636e-01,  0.24685037,  0.17841643,  3.38770329e-03, 0.55708674, 0.42874443, 0.39633079, 0.39649742, 0.41854505, 0.41854505, 1.        , -2.15501715e-04, -0.02      ),            (  0.33884412, -3.53055378, 1.27, 3.20364308,  2.32672451, 6.15953718, -1.86, 7.5818    , 0.45011213, 3.83597463, -1.47748453e-03, -1.06951222, -0.02891352, -0.2,  4.19972393e-01,  2.81514557e-01,  0.24643332,  0.17929449,  3.93118555e-03, 0.55708674, 0.42874443, 0.39722018, 0.39742878, 0.41883301, 0.41883301, 1.        , -2.53167707e-04, -0.02      ),            (  0.34673681, -3.52830008, 1.27, 3.19746871,  2.3471448 , 6.14705806, -1.86, 7.5818    , 0.45012917, 3.83579859, -1.51566922e-03, -1.07467838, -0.02853044, -0.2,  4.16827953e-01,  2.79565068e-01,  0.24593726,  0.18007563,  4.41249125e-03, 0.55708674, 0.42874443, 0.39810786, 0.39836339, 0.41912096, 0.41912096, 1.        , -2.98257145e-04, -0.02      ),            (  0.3548134 , -3.52604638, 1.27, 3.19126182,  2.36778682, 6.13455107, -1.86, 7.5818    , 0.45014621, 3.83562254, -1.55478415e-03, -1.07974815, -0.02811736, -0.2,  4.13543993e-01,  2.77515617e-01,  0.24536017,  0.18076056,  4.66571069e-03, 0.55708674, 0.42874443, 0.39899286, 0.39930014, 0.41940892, 0.41940892, 1.        , -3.51514244e-04, -0.02      ),            (  0.3630781 , -3.52379268, 1.27, 3.18501062,  2.38864926, 6.12203478, -1.86, 7.5818    , 0.45016324, 3.8354465 , -1.59483267e-03, -1.0847164 , -0.02767411, -0.2,  4.10127529e-01,  2.75371793e-01,  0.24470047,  0.18135106,  4.53641537e-03, 0.55708674, 0.42874443, 0.39987407, 0.40023769, 0.41969688, 0.41969688, 1.        , -4.13627070e-04, -0.02      ),            (  0.37153521, -3.52153897, 1.27, 3.17870378,  2.40973274, 6.10952696, -1.86, 7.5818    , 0.45018028, 3.83527045, -1.63581472e-03, -1.08957749, -0.0272006 , -0.2,  4.06585666e-01,  2.73139054e-01,  0.24395716,  0.18184978,  3.91027610e-03, 0.55708669, 0.42874437, 0.40075018, 0.40117448, 0.41998484, 0.41998484, 1.        , -4.85175379e-04, -0.02      ),            (  0.3801894 , -3.51928527, 1.27, 3.17233095,  2.43103929, 6.0970429 , -1.86, 7.5818    , 0.45019732, 3.83509441, -1.67772650e-03, -1.09432454, -0.02669688, -0.2,  4.02925446e-01,  2.70823084e-01,  0.24313   ,  0.18226002,  2.75596954e-03, 0.5570862 , 0.42874385, 0.40161979, 0.40210877, 0.4202728 , 0.4202728 , 1.        , -5.66594770e-04, -0.02      ),            (  0.38904511, -3.51703157, 1.27, 3.16588403,  2.45257291, 6.08459518, -1.86, 7.5818    , 0.45021435, 3.83491836, -1.72056017e-03, -1.09895047, -0.02616307, -0.2,  3.99153738e-01,  2.68429748e-01,  0.24221943,  0.18258568,  1.11352486e-03, 0.55708442, 0.42874191, 0.4024814 , 0.40303865, 0.42056076, 0.42056076, 1.        , -6.58155275e-04, -0.01999998),            (  0.39810714, -3.51477787, 1.27, 3.15935557,  2.4743365 , 6.07219457, -1.86, 7.5818    , 0.45023139, 3.83474232, -1.76430367e-03, -1.10344718, -0.02559942, -0.2,  3.95277069e-01,  2.65964499e-01,  0.24122619,  0.18283119, -9.39065739e-04, 0.55707985, 0.42873691, 0.4033335 , 0.40396211, 0.42084872, 0.42084872, 1.        , -7.59950648e-04, -0.01999994),            (  0.4073803 , -3.51252416, 1.27, 3.15273924,  2.49633166, 6.05985023, -1.86, 7.5818    , 0.45024843, 3.83456627, -1.80894067e-03, -1.10780489, -0.02500629, -0.2,  3.91301165e-01,  2.63431879e-01,  0.24015113,  0.18300116, -3.33690389e-03, 0.55707032, 0.42872643, 0.40417454, 0.40487706, 0.42113668, 0.42113668, 0.99999888, -8.71896069e-04, -0.01999983),            (  0.4168694 , -3.51027046, 1.27, 3.14602988,  2.51855806, 6.04756971, -1.86, 7.5818    , 0.45026546, 3.83439023, -1.85445105e-03, -1.11201309, -0.0243842 , -0.2,  3.87230227e-01,  2.60834870e-01,  0.23899518,  0.1831    , -5.99049302e-03, 0.55705302, 0.42870734, 0.40500302, 0.40578135, 0.42142464, 0.42142464, 0.99999007, -9.93742766e-04, -0.01999962),            (  0.42657953, -3.50801676, 1.27, 3.13922353,  2.5410133 , 6.03535812, -1.86, 7.5818    , 0.4502825 , 3.83421418, -1.90081169e-03, -1.11606252, -0.02373383, -0.2,  3.83067303e-01,  2.58174404e-01,  0.23775948,  0.18313156, -8.78412038e-03, 0.55702451, 0.42867579, 0.4058175 , 0.40667286, 0.4217126 , 0.4217126 , 0.99995892, -1.12513276e-03, -0.01999922),            (  0.4365158 , -3.50576306, 1.27, 3.13231831,  2.56369409, 6.0232175 , -1.86, 7.5818    , 0.45029953, 3.83403814, -1.94799775e-03, -1.1199435 , -0.02305603, -0.2,  3.78814803e-01,  2.55449892e-01,  0.23644549,  0.18309939, -1.15636867e-02, 0.55698079, 0.42862731, 0.40661662, 0.40754945, 0.42200055, 0.42200055, 0.99988228, -1.26574204e-03, -0.01999856),            (  0.4466836 , -3.50350936, 1.27, 3.12531328,  2.58659516, 6.01114793, -1.86, 7.5818    , 0.45031657, 3.83386209, -1.99598423e-03, -1.12364565, -0.02235189, -0.2,  3.74473409e-01,  2.52660476e-01,  0.23505509,  0.18300717, -1.41764670e-02, 0.55691741, 0.42855694, 0.40739911, 0.40840906, 0.42228851, 0.42228851, 0.99972943, -1.41574632e-03, -0.01999749),            (  0.4570882 , -3.50125565, 1.27, 3.11820782,  2.60970898, 5.99914954, -1.86, 7.5818    , 0.45033361, 3.83368605, -2.04474768e-03, -1.12715913, -0.02162268, -0.2,  3.70042023e-01,  2.49805958e-01,  0.23359056,  0.18285885, -1.65084456e-02, 0.55682949, 0.42845935, 0.40816381, 0.40924972, 0.42257647, 0.42257647, 0.99946377, -1.57624958e-03, -0.01999574),            (  0.4677351 , -3.49900195, 1.27, 3.11100019,  2.63302455, 5.98722411, -1.86, 7.5818    , 0.45035064, 3.83351   , -2.09426777e-03, -1.13047502, -0.02086989, -0.2,  3.65519046e-01,  2.46886629e-01,  0.23205439,  0.18265796, -1.85189423e-02, 0.55671186, 0.42832894, 0.40890971, 0.41006954, 0.42286443, 0.42286443, 0.9990449 , -1.74917527e-03, -0.01999298),            (  0.4786301 , -3.49674825, 1.27, 3.10368758,  2.6565285 , 5.97537468, -1.86, 7.5818    , 0.45036768, 3.83333396, -2.14452858e-03, -1.13358522, -0.02009525, -0.2,  3.60903279e-01,  2.43903139e-01,  0.23044919,  0.18240752, -2.01992738e-02, 0.5565591 , 0.42816001, 0.4096359 , 0.41086676, 0.42315239, 0.42315239, 0.99843066, -1.93667347e-03, -0.01998884),            (  0.48977881, -3.49449455, 1.27, 3.09626732,  2.68020808, 5.96360485, -1.86, 7.5818    , 0.45038472, 3.83315791, -2.19551952e-03, -1.13648222, -0.01930069, -0.2,  3.56194377e-01,  2.40856892e-01,  0.2287776 ,  0.18211012, -2.15323204e-02, 0.55636564, 0.42794683, 0.41034161, 0.41163978, 0.42344035, 0.42344035, 0.99757895, -2.14066575e-03, -0.01998293),            (  0.5011872 , -3.49224085, 1.27, 3.08873672,  2.70405233, 5.95191775, -1.86, 7.58179918, 0.45040247, 3.83296208, -2.24723589e-03, -1.13915845, -0.01848837, -0.2,  3.51393859e-01,  2.37750473e-01,  0.22704207,  0.18176751, -2.24853832e-02, 0.55612584, 0.42768381, 0.41102619, 0.41238713, 0.42372831, 0.42372831, 0.99644934, -2.36285439e-03, -0.0199749 ),            (  0.51286131, -3.48998714, 1.27, 3.08109359,  2.72805432, 5.94031585, -1.86, 7.58179117, 0.45042648, 3.8325939 , -2.29967897e-03, -1.1416057 , -0.01766063, -0.2,  3.46505561e-01,  2.34587335e-01,  0.22524454,  0.18138037, -2.30313444e-02, 0.55583404, 0.42736554, 0.41168911, 0.4131075 , 0.42401627, 0.42401627, 0.99500422, -2.60481757e-03, -0.0199644 ),            (  0.5248075 , -3.48773344, 1.27, 3.07333527,  2.75221085, 5.92880206, -1.86, 7.58178317, 0.4504505 , 3.83222572, -2.35285564e-03, -1.14381706, -0.01681997, -0.2,  3.41534197e-01,  2.31371447e-01,  0.2233864 ,  0.18094898, -2.31390740e-02, 0.55548464, 0.42698692, 0.41232996, 0.41379976, 0.42430395, 0.42430398, 0.99320957, -2.86803476e-03, -0.0199511 ),            (  0.5370318 , -3.48547974, 1.27, 3.06545911,  2.77652413, 5.91738025, -1.86, 7.58177516, 0.45047451, 3.83185754, -2.40677766e-03, -1.14578754, -0.01596904, -0.2,  3.36483057e-01,  2.28106221e-01,  0.2214688 ,  0.18047402, -2.28013944e-02, 0.55507214, 0.42654322, 0.41294842, 0.41446292, 0.42458989, 0.42459013, 0.99103536, -3.15382984e-03, -0.01993473),            (  0.5495409 , -3.48322604, 1.27, 3.05746091,  2.8009997 , 5.90605578, -1.86, 7.58176716, 0.45049852, 3.83148936, -2.46146042e-03, -1.14751254, -0.01511057, -0.2,  3.31352995e-01,  2.24793728e-01,  0.21949265,  0.179957  , -2.20692035e-02, 0.5545912 , 0.42603011, 0.41354426, 0.41509618, 0.42487174, 0.42487236, 0.98845567, -3.46331425e-03, -0.01991504),            (  0.5623413 , -3.48097234, 1.27, 3.04933661,  2.82564891, 5.89483457, -1.86, 7.58175916, 0.45052253, 3.83112118, -2.51692142e-03, -1.14898798, -0.01424737, -0.2,  3.26143725e-01,  2.21435038e-01,  0.21745823,  0.17939961, -2.10137471e-02, 0.55403668, 0.42544373, 0.41411733, 0.41569889, 0.4251467 , 0.42514761, 0.98544846, -3.79734392e-03, -0.01989185),            (  0.57543992, -3.47871863, 1.27, 3.04108304,  2.85048999, 5.8837205 , -1.86, 7.58175115, 0.45054654, 3.830753  , -2.57317840e-03, -1.15021254, -0.01338224, -0.2,  3.20854693e-01,  2.18030058e-01,  0.21536494,  0.17880283, -1.96785153e-02, 0.55340367, 0.42478067, 0.41466752, 0.41627143, 0.42541192, 0.42541231, 0.98199518, -4.15648887e-03, -0.01986501),            (  0.5888436 , -3.47646493, 1.27, 3.03269944,  2.87554998, 5.8727141 , -1.86, 7.58174315, 0.45057056, 3.83038482, -2.63024737e-03, -1.15118853, -0.01251797, -0.2,  3.15484880e-01,  2.14577073e-01,  0.21321197,  0.17816679, -1.80939474e-02, 0.55268747, 0.42403805, 0.41519481, 0.41681777, 0.42566474, 0.4256626 , 0.97808014, -4.54101138e-03, -0.01983444),            (  0.6025595 , -3.47421123, 1.27, 3.02418705,  2.90086387, 5.86181239, -1.86, 7.58173514, 0.45059457, 3.83001664, -2.68814081e-03, -1.15192165, -0.01165723, -0.2,  3.10032672e-01,  2.11073182e-01,  0.21099905,  0.17749093, -1.63160474e-02, 0.55188365, 0.42321344, 0.41569915, 0.41734408, 0.42590291, 0.42589454, 0.97368987, -4.95082667e-03, -0.01980008),            (  0.61659491, -3.47195753, 1.27, 3.01554921,  2.92647422, 5.85100899, -1.86, 7.58172714, 0.45061858, 3.82964846, -2.74686609e-03, -1.15242004, -0.01080256, -0.2,  3.04497660e-01,  2.07515386e-01,  0.20872674,  0.17677456, -1.44588183e-02, 0.550988  , 0.42230491, 0.41618057, 0.41785695, 0.42612467, 0.42610423, 0.96881227, -5.38551882e-03, -0.01976195),            (  0.6309573 , -3.46970382, 1.27, 3.00679135,  2.9524305 , 5.84029411, -1.86, 7.58171914, 0.45064259, 3.82928027, -2.80642429e-03, -1.15269279, -0.00995632, -0.2,  2.98882118e-01,  2.03901385e-01,  0.20639635,  0.17601738, -1.26671886e-02, 0.54999654, 0.42131101, 0.41663904, 0.41836219, 0.42632884, 0.42628796, 0.96343585, -5.84465910e-03, -0.01972005),            (  0.6456543 , -3.46745012, 1.27, 2.99791981,  2.97878644, 5.82965647, -1.86, 7.58171113, 0.4506666 , 3.82891209, -2.86680965e-03, -1.15274867, -0.00912062, -0.2,  2.93190564e-01,  2.00229594e-01,  0.20400971,  0.17521955, -1.10679162e-02, 0.54890549, 0.42023075, 0.41707461, 0.41886404, 0.42651483, 0.42644228, 0.95754914, -6.32820799e-03, -0.0196744 ),            (  0.6606934 , -3.46519642, 1.27, 2.98894132,  3.00559842, 5.81908469, -1.86, 7.58170313, 0.45069061, 3.82854391, -2.92800933e-03, -1.15259634, -0.00829731, -0.2,  2.87428908e-01,  1.96499084e-01,  0.20156912,  0.17438161, -9.74093317e-03, 0.54771126, 0.41906355, 0.4174873 , 0.41936481, 0.42668266, 0.42656409, 0.95114127, -6.83645978e-03, -0.01962499),            (  0.676083  , -3.46294272, 1.27, 2.97986136,  3.03292223, 5.80856806, -1.86, 7.58168962, 0.45073459, 3.82791572, -2.99000362e-03, -1.15224402, -0.0074879 , -0.2,  2.81605093e-01,  1.92710223e-01,  0.19907752,  0.1735046 , -8.73241974e-03, 0.5464104 , 0.41780926, 0.41787722, 0.41986467, 0.42683287, 0.42665068, 0.94420282, -7.36988617e-03, -0.01957181),            (  0.69183093, -3.46068901, 1.27, 2.97068531,  3.06081458, 5.79809731, -1.86, 7.58167259, 0.45079138, 3.82712068, -3.05276646e-03, -1.15169905, -0.0066936 , -0.2,  2.75728472e-01,  1.88865142e-01,  0.19653848,  0.17258983, -8.07543317e-03, 0.54499961, 0.4164681 , 0.41824452, 0.42036173, 0.42696652, 0.42669978, 0.93672672, -7.92911513e-03, -0.0195148 ),            (  0.7079458 , -3.45843531, 1.27, 2.96141706,  3.08933065, 5.78766456, -1.86, 7.58165555, 0.45084817, 3.82632563, -3.11626604e-03, -1.15096708, -0.00591531, -0.2,  2.69808791e-01,  1.84967784e-01,  0.19395552,  0.17163825, -7.79746499e-03, 0.5434757 , 0.41504063, 0.41858943, 0.42085224, 0.4270851 , 0.42670953, 0.92870906, -8.51534163e-03, -0.01945385),            (  0.72443592, -3.45618161, 1.27, 2.95205969,  3.1185252 , 5.77726402, -1.86, 7.58163851, 0.45090496, 3.82553059, -3.18046569e-03, -1.15005094, -0.00515358, -0.2,  2.63856836e-01,  1.81023586e-01,  0.19133157,  0.1706502 , -7.91988000e-03, 0.54183556, 0.41352772, 0.41891088, 0.42133081, 0.42719047, 0.4266785 , 0.9201498 , -9.13080612e-03, -0.01938881),            (  0.74131023, -3.45392791, 1.27, 2.94261491,  3.14845141, 5.76689144, -1.86, 7.58162148, 0.45096175, 3.82473555, -3.24532478e-03, -1.14895166, -0.00440873, -0.2,  2.57885753e-01,  1.77038691e-01,  0.18866907,  0.16962519, -8.43709593e-03, 0.5400762 , 0.41193049, 0.41920217, 0.42179081, 0.42728476, 0.42660569, 0.91105342, -9.77912866e-03, -0.01931946),            (  0.7585776 , -3.45167421, 1.27, 2.93308342,  3.17916144, 5.75654462, -1.86, 7.58160444, 0.45101854, 3.82394051, -3.31079983e-03, -1.14767061, -0.00368085, -0.2,  2.51912391e-01,  1.73019439e-01,  0.18597036,  0.16856241, -9.30482554e-03, 0.53819473, 0.41025037, 0.41945274, 0.4222246 , 0.42737033, 0.42649047, 0.90142928, -1.04654023e-02, -0.01924551),            (  0.7762471 , -3.4494205 , 1.27, 2.9234643 ,  3.21070478, 5.74622403, -1.86, 7.5815874 , 0.45107532, 3.82314547, -3.37684559e-03, -1.14620954, -0.00296983, -0.2,  2.45957960e-01,  1.68972805e-01,  0.18323807,  0.1674613 , -1.04556016e-02, 0.53618853, 0.40848913, 0.41965093, 0.422624  , 0.42744966, 0.42633254, 0.89129177, -1.11958752e-02, -0.01916663),            (  0.79432821, -3.4471668 , 1.27, 2.91375497,  3.24312754, 5.73593262, -1.86, 7.58157037, 0.45113211, 3.82235042, -3.44341625e-03, -1.14456963, -0.00227545, -0.2,  2.40047300e-01,  1.64906383e-01,  0.18047481,  0.16632225, -1.18001019e-02, 0.53405523, 0.40664893, 0.41978589, 0.42298051, 0.42752532, 0.42613193, 0.88066007, -1.19775861e-02, -0.01908244),            (  0.81283044, -3.4449131 , 1.27, 2.903952  ,  3.27647328, 5.72567503, -1.86, 7.58155333, 0.4511889 , 3.82155538, -3.51046656e-03, -1.14275081, -0.00159735, -0.2,  2.34207050e-01,  1.60827698e-01,  0.17768288,  0.16514635, -1.32543071e-02, 0.53179286, 0.40473234, 0.41984888, 0.42328567, 0.42759986, 0.42588891, 0.86955757, -1.28180428e-02, -0.01899256),            (  0.8317637 , -3.4426594 , 1.27, 2.89405107,  3.31078211, 5.71545718, -1.86, 7.58153629, 0.45124569, 3.82076034, -3.57795299e-03, -1.14075291, -0.00093509, -0.2,  2.28463243e-01,  1.56743211e-01,  0.1748642 ,  0.16393517, -1.47515889e-02, 0.52939987, 0.4027424 , 0.41983405, 0.42353127, 0.4276758 , 0.42560398, 0.85801084, -1.37248076e-02, -0.01889659),            (  0.8511381 , -3.44040569, 1.27, 2.88404749,  3.34609101, 5.7052857 , -1.86, 7.58151926, 0.45130248, 3.81996529, -3.64583485e-03, -1.13857673, -0.00028816, -0.2,  2.22838220e-01,  1.52657892e-01,  0.17202081,  0.16269073, -1.62371897e-02, 0.52687524, 0.40068261, 0.41973876, 0.42370962, 0.42775555, 0.4252778 , 0.84604813, -1.47046843e-02, -0.01879415),            (  0.8709636 , -3.43815199, 1.27, 2.87393686,  3.38243481, 5.69516736, -1.86, 7.58150222, 0.45135927, 3.81917025, -3.71407520e-03, -1.13622446,  0.00034407, -0.2,  2.17349940e-01,  1.48575381e-01,  0.16915509,  0.16141543, -1.76620315e-02, 0.52421849, 0.39855697, 0.4195636 , 0.42381367, 0.42784139, 0.42491115, 0.83369753, -1.57631286e-02, -0.01868488),            (  0.8912509 , -3.43589829, 1.27, 2.86371479,  3.41984545, 5.68510824, -1.86, 7.58148518, 0.45141606, 3.81837521, -3.78264177e-03, -1.13369781,  0.00096228, -0.2,  2.12012831e-01,  1.44498849e-01,  0.16626945,  0.16011154, -1.89745198e-02, 0.52142982, 0.39636995, 0.41931218, 0.42383717, 0.4279354 , 0.42450488, 0.82098481, -1.69042722e-02, -0.01856845),            (  0.9120108 , -3.43364459, 1.27, 2.85337815,  3.45835457, 5.67511261, -1.86, 7.58146815, 0.45147284, 3.81758017, -3.85150773e-03, -1.13099635,  0.00156725, -0.2,  2.06838191e-01,  1.40431767e-01,  0.16336582,  0.15878088, -2.01395677e-02, 0.51851008, 0.39412654, 0.41899067, 0.42377472, 0.42803947, 0.4240599 , 0.80793121, -1.81311504e-02, -0.01844457),            (  0.93325424, -3.43139089, 1.27, 2.84292497,  3.49799365, 5.66518294, -1.86, 7.58145111, 0.45152963, 3.81678513, -3.92065227e-03, -1.12811795,  0.00215984, -0.2,  2.01833760e-01,  1.36378092e-01,  0.16044568,  0.15742506, -2.11471198e-02, 0.51546089, 0.39183217, 0.41860735, 0.42362184, 0.42815529, 0.4235771 , 0.79455142, -1.94462581e-02, -0.01831298),            (  0.9549925 , -3.42913719, 1.27, 2.83235389,  3.53879295, 5.65532064, -1.86, 7.58143407, 0.45158642, 3.81599009, -3.99006117e-03, -1.12505928,  0.00274098, -0.2,  1.97004742e-01,  1.32341901e-01,  0.15750992,  0.15604552, -2.19947176e-02, 0.51228462, 0.38949274, 0.41817201, 0.42337497, 0.42828429, 0.42305733, 0.78085231, -2.08525149e-02, -0.01817347),            (  0.9772371 , -3.42688348, 1.27, 2.82166412,  3.5807816 , 5.64552621, -1.86, 7.58141704, 0.45164321, 3.81519505, -4.05972724e-03, -1.12181533,  0.00331167, -0.2,  1.92354712e-01,  1.28326946e-01,  0.1545585 ,  0.15464329, -2.26690491e-02, 0.50898444, 0.38711456, 0.41769542, 0.42303142, 0.42842765, 0.42250138, 0.76683299, -2.23541957e-02, -0.01802584),            (  1.        , -3.42462978, 1.27, 2.81085525,  3.62398753, 5.63579925, -1.86, 7.5814    , 0.4517    , 3.8144    , -4.12965063e-03, -1.1183794 ,  0.00387299, -0.2,  1.87885794e-01,  1.24336361e-01,  0.15159095,  0.15321913, -2.31363922e-02, 0.50556432, 0.3847043 , 0.4171887 , 0.42258933, 0.42858635, 0.42190994, 0.75248712, -2.39576963e-02, -0.01786996),            (  1.023293  , -3.42237608, 1.27, 2.79992718,  3.66843769, 5.62613947, -1.86, 7.58135198, 0.45181205, 3.8127752 , -4.19983904e-03, -1.11474382,  0.00442606, -0.2,  1.83598176e-01,  1.20372935e-01,  0.14860684,  0.1517736 , -2.33889977e-02, 0.50202903, 0.38226896, 0.41666286, 0.42204759, 0.42876108, 0.42128359, 0.73780709, -2.56720800e-02, -0.01770573),            (  1.047129  , -3.42012237, 1.27, 2.78887894,  3.71415591, 5.61654702, -1.86, 7.58130395, 0.45192411, 3.81115038, -4.27030782e-03, -1.11090072,  0.00497205, -0.2,  1.79490031e-01,  1.16439763e-01,  0.14560594,  0.15030674, -2.34571358e-02, 0.49838411, 0.37981578, 0.41612829, 0.42140577, 0.4289524 , 0.42062278, 0.72278511, -2.75087344e-02, -0.01753308),            (  1.0715192 , -3.41786867, 1.27, 2.77771136,  3.7611703 , 5.60702146, -1.86, 7.58125593, 0.45203616, 3.80952562, -4.34107993e-03, -1.10684262,  0.0055122 , -0.2,  1.75557152e-01,  1.12540924e-01,  0.14258807,  0.14881802, -2.33980826e-02, 0.49463584, 0.37735214, 0.41559434, 0.42066399, 0.42916098, 0.41992814, 0.70741323, -2.94796603e-02, -0.01735201),            (  1.096478  , -3.41561497, 1.27, 2.76642398,  3.80950694, 5.59756094, -1.86, 7.58120791, 0.45214822, 3.80790083, -4.41218566e-03, -1.10256361,  0.00604772, -0.2,  1.71794094e-01,  1.08681533e-01,  0.13955286,  0.14730664, -2.32765319e-02, 0.49079117, 0.3748855 , 0.41506904, 0.41982283, 0.42938766, 0.4192005 , 0.6916833 , -3.15959752e-02, -0.01716256),            (  1.1220182 , -3.41336126, 1.27, 2.75428287,  3.85728772, 5.58816202, -1.86, 7.58115988, 0.45226027, 3.80627603, -4.48366224e-03, -1.09805964,  0.00657988, -0.2,  1.68196955e-01,  1.04867725e-01,  0.13650006,  0.14577152, -2.31372129e-02, 0.48685765, 0.37242322, 0.41455878, 0.41888324, 0.42963351, 0.41844094, 0.67558696, -3.38672092e-02, -0.01696483),            (  1.1481534 , -3.41110756, 1.27, 2.74195669,  3.90619798, 5.57881992, -1.86, 7.58111186, 0.45237233, 3.80465124, -4.55555323e-03, -1.09332887,  0.00710993, -0.2,  1.64763790e-01,  1.01106487e-01,  0.13342948,  0.1442114 , -2.30088778e-02, 0.48284336, 0.36997247, 0.41406818, 0.41784643, 0.42989977, 0.41765082, 0.6591157 , -3.63008948e-02, -0.01675899),            (  1.1748973 , -3.40885386, 1.27, 2.72947921,  3.95634823, 5.5695288 , -1.86, 7.58106384, 0.45248438, 3.80302644, -4.62790776e-03, -1.08837159,  0.0076391 , -0.2,  1.61492558e-01,  9.74046834e-02,  0.13034071,  0.14262499, -2.29304878e-02, 0.47875675, 0.36754008, 0.41359997, 0.41671383, 0.43018786, 0.41683181, 0.64226077, -3.89024367e-02, -0.01654529),            (  1.2022641 , -3.40660016, 1.27, 2.71689438,  4.00788619, 5.56028271, -1.86, 7.58101581, 0.45259644, 3.80140165, -4.70077956e-03, -1.08318949,  0.00816858, -0.2,  1.58379767e-01,  9.37681565e-02,  0.12723327,  0.1410109 , -2.29454059e-02, 0.47460661, 0.36513237, 0.41315504, 0.41548697, 0.4304994 , 0.41598591, 0.62501324, -4.16753433e-02, -0.01632402),            (  1.230269  , -3.40434645, 1.27, 2.7042572 ,  4.06100149, 5.55107595, -1.86, 7.58096779, 0.4527085 , 3.79977682, -4.77422588e-03, -1.07778572,  0.00869954, -0.2,  1.55421172e-01,  9.02011249e-02,  0.12410677,  0.13936771, -2.30881505e-02, 0.47040187, 0.36275504, 0.41273245, 0.41416748, 0.43083617, 0.41511541, 0.60736396, -4.46214676e-02, -0.01609554),            (  1.258926  , -3.40209275, 1.27, 2.69161814,  4.11588318, 5.54190378, -1.86, 7.58091976, 0.45282055, 3.798152  , -4.84830628e-03, -1.07216449,  0.00923304, -0.2,  1.52612994e-01,  8.67060504e-02,  0.12096083,  0.13769378, -2.33689836e-02, 0.46615155, 0.36041303, 0.41232968, 0.41275705, 0.43120008, 0.41422297, 0.58930703, -4.77407443e-02, -0.01586024),            (  1.28825   , -3.39983905, 1.27, 2.6790193 ,  4.17270567, 5.532763  , -1.86, 7.58087174, 0.45293261, 3.79652722, -4.92308139e-03, -1.06633039,  0.00977011, -0.2,  1.49951382e-01,  8.32841212e-02,  0.11779504,  0.13598691, -2.38042703e-02, 0.46186457, 0.35811038, 0.41194266, 0.41125745, 0.43159317, 0.41331152, 0.57085319, -5.10309435e-02, -0.01561859),            (  1.318257  , -3.39758535, 1.27, 2.66649674,  4.231632  , 5.52365161, -1.86, 7.58082372, 0.45304466, 3.79490243, -4.99861161e-03, -1.06028747,  0.01031164, -0.2,  1.47431635e-01,  7.99355890e-02,  0.11460892,  0.13424474, -2.44016852e-02, 0.45754974, 0.35585023, 0.411566  , 0.40967052, 0.43201756, 0.4123843 , 0.55203791, -5.44876287e-02, -0.01537108),            (  1.348963  , -3.39533164, 1.27, 2.65408142,  4.29281352, 5.51456818, -1.86, 7.58071377, 0.45321497, 3.79254791, -5.07495591e-03, -1.0540389 ,  0.01085845, -0.2,  1.45047526e-01,  7.66599019e-02,  0.11140174,  0.132465  , -2.51156738e-02, 0.45321566, 0.35363471, 0.41119311, 0.40799826, 0.43247537, 0.41144479, 0.53292269, -5.81042764e-02, -0.01511825),            (  1.3803842 , -3.39307794, 1.27, 2.6417911 ,  4.35636217, 5.50551152, -1.86, 7.58054341, 0.45344212, 3.78948133, -5.15217067e-03, -1.04758874,  0.01141119, -0.2,  1.42791135e-01,  7.34555988e-02,  0.10817259,  0.13064553, -2.58798191e-02, 0.44887068, 0.35146507, 0.41081646, 0.40624283, 0.43296873, 0.41049667, 0.51359224, -6.18724608e-02, -0.0148607 ),            (  1.4125374 , -3.39082424, 1.27, 2.62962651,  4.4223327 , 5.49648058, -1.86, 7.58037304, 0.45366928, 3.78641475, -5.23030869e-03, -1.04094232,  0.01197042, -0.2,  1.40653429e-01,  7.03202252e-02,  0.10492056,  0.12878431, -2.66439460e-02, 0.44452302, 0.34934175, 0.41042775, 0.40440668, 0.43349968, 0.40954375, 0.49414912, -6.57820250e-02, -0.01459904),            (  1.44544   , -3.38857054, 1.27, 2.61757217,  4.49071887, 5.48747442, -1.86, 7.58020267, 0.45389644, 3.78334812, -5.30941839e-03, -1.03410621,  0.01253651, -0.2,  1.38624621e-01,  6.72510836e-02,  0.10164523,  0.12687967, -2.73759090e-02, 0.4401809 , 0.34726468, 0.41001851, 0.40249268, 0.43407011, 0.40858992, 0.47470744, -6.98210750e-02, -0.01433394),            (  1.4791082 , -3.38631683, 1.27, 2.60561064,  4.56149572, 5.47849215, -1.86, 7.58003231, 0.45412359, 3.78028157, -5.38954327e-03, -1.02708818,  0.01310972, -0.2,  1.36695392e-01,  6.42454690e-02,  0.09834687,  0.12493086, -2.80466147e-02, 0.43585273, 0.34523359, 0.40958163, 0.4005046 , 0.43468173, 0.40763903, 0.45538654, -7.39758852e-02, -0.01406607),            (  1.513561  , -3.38406313, 1.27, 2.5937335 ,  4.63465773, 5.46953428, -1.86, 7.57986194, 0.45435074, 3.77721498, -5.47072154e-03, -1.01989747,  0.01369013, -0.2,  1.34859103e-01,  6.13006048e-02,  0.09502608,  0.1229381 , -2.86363967e-02, 0.43154714, 0.34324818, 0.4091118 , 0.39844727, 0.43533594, 0.40669483, 0.43630521, -7.82316444e-02, -0.01379613),            (  1.5488164 , -3.38180943, 1.27, 2.58194282,  4.71022934, 5.4606033 , -1.86, 7.57969158, 0.4545779 , 3.77414839, -5.55298606e-03, -1.01254363,  0.01427769, -0.2,  1.33112345e-01,  5.84135457e-02,  0.09168381,  0.12090174, -2.91291383e-02, 0.42727295, 0.3413082 , 0.40860546, 0.39632651, 0.43603381, 0.40576088, 0.41757688, -8.25735184e-02, -0.01352479),            (  1.584893  , -3.37955573, 1.27, 2.57024847,  4.7882621 , 5.4517034 , -1.86, 7.57952121, 0.45480505, 3.77108179, -5.63636442e-03, -1.00503485,  0.01487222, -0.2,  1.31452126e-01,  5.55814808e-02,  0.08832154,  0.11882177, -2.94970403e-02, 0.42303911, 0.33941351, 0.40806078, 0.39414907, 0.436776  , 0.4048404 , 0.39930604, -8.69875523e-02, -0.01325272),            (  1.62181   , -3.37730203, 1.27, 2.55866476,  4.86882829, 5.44283948, -1.86, 7.57935084, 0.45503221, 3.76801519, -5.72087923e-03, -0.99737758,  0.01547337, -0.2,  1.29873740e-01,  5.28021069e-02,  0.0849413 ,  0.11669763, -2.97318841e-02, 0.41885466, 0.33756419, 0.4074776 , 0.39192254, 0.43756271, 0.40393622, 0.38158577, -9.14617219e-02, -0.01298054),            (  1.659587  , -3.37504833, 1.27, 2.54721164,  4.95203061, 5.43401636, -1.86, 7.57918048, 0.45525936, 3.76494858, -5.80654850e-03, -0.9895761 ,  0.01608073, -0.2,  1.28372252e-01,  5.00732730e-02,  0.0815454 ,  0.11452807, -2.98524368e-02, 0.41472868, 0.33576054, 0.40685733, 0.38965539, 0.43839359, 0.40305065, 0.36449648, -9.59872415e-02, -0.01270884),            (  1.698244  , -3.37279463, 1.27, 2.53591547,  5.03801036, 5.4252389 , -1.86, 7.57901011, 0.45548652, 3.76188197, -5.89338612e-03, -0.98163364,  0.01669374, -0.2,  1.26944168e-01,  4.73926249e-02,  0.0781361 ,  0.11231113, -2.98642580e-02, 0.41067026, 0.33400322, 0.40620281, 0.38735682, 0.43926776, 0.40218541, 0.34810569, -1.00559768e-01, -0.01243815),            (  1.737801  , -3.37054092, 1.27, 2.52480196,  5.12692368, 5.4165122 , -1.86, 7.57883974, 0.45571367, 3.75881539, -5.98140236e-03, -0.97355329,  0.0173118 , -0.2,  1.25588390e-01,  4.47577225e-02,  0.07471577,  0.11004467, -2.97531402e-02, 0.40668839, 0.33229318, 0.4055182 , 0.38503676, 0.44018379, 0.40134153, 0.33246856, -1.05180256e-01, -0.01216894),            (  1.7782794 , -3.36828722, 1.27, 2.51388882,  5.21891204, 5.40784178, -1.86, 7.57866938, 0.45594083, 3.75574882, -6.07060427e-03, -0.96533744,  0.01793419, -0.2,  1.24305722e-01,  4.21658679e-02,  0.07128715,  0.10772667, -2.94982424e-02, 0.40279198, 0.33063178, 0.40480874, 0.38270569, 0.44113968, 0.40051936, 0.31762925, -1.09855317e-01, -0.01190159),            (  1.819701  , -3.36603352, 1.27, 2.50318549,  5.31409766, 5.39923395, -1.86, 7.57849901, 0.45616798, 3.75268221, -6.16099615e-03, -0.95698724,  0.01856018, -0.2,  1.23098280e-01,  3.96140864e-02,  0.06785309,  0.10535543, -2.90819230e-02, 0.39898973, 0.32902073, 0.40408056, 0.38037456, 0.44213298, 0.39971848, 0.30362266, -1.14597188e-01, -0.01163648),            (  1.862087  , -3.36377982, 1.27, 2.49269154,  5.41257296, 5.39069536, -1.86, 7.57832865, 0.45639514, 3.74961564, -6.25257982e-03, -0.94850197,  0.01918899, -0.2,  1.21967784e-01,  3.70993734e-02,  0.06441639,  0.1029298 , -2.85040063e-02, 0.39529013, 0.32746215, 0.40334046, 0.37805464, 0.44316085, 0.39893785, 0.29047665, -1.19423241e-01, -0.01137388),            (  1.905461  , -3.36152611, 1.27, 2.48240457,  5.51443168, 5.38223217, -1.86, 7.57815828, 0.45662229, 3.74654902, -6.34535489e-03, -0.93987924,  0.01981979, -0.2,  1.20914244e-01,  3.46186672e-02,  0.06097955,  0.10044881, -2.77816738e-02, 0.39170134, 0.3259585 , 0.40259556, 0.37575731, 0.44422027, 0.39817588, 0.27821436, -1.24354052e-01, -0.01111405),            (  1.9498444 , -3.35927241, 1.27, 2.4723186 ,  5.6197621 , 5.3738502 , -1.86, 7.57798791, 0.45684945, 3.74348246, -6.43931891e-03, -0.93111692,  0.02045175, -0.2,  1.19936106e-01,  3.21690588e-02,  0.05754463,  0.09791166, -2.69476009e-02, 0.38823116, 0.32451261, 0.4018531 , 0.37349391, 0.44530828, 0.39743062, 0.26685684, -1.29409440e-01, -0.0108572 ),            (  1.9952621 , -3.35702047, 1.27, 2.46242923,  5.72867197, 5.36555549, -1.86, 7.57781755, 0.4570766 , 3.74041587, -6.53446745e-03, -0.92221347,  0.02108403, -0.2,  1.19032048e-01,  2.97485236e-02,  0.05411346,  0.09531793, -2.60396773e-02, 0.38488694, 0.32312761, 0.4011201 , 0.37127552, 0.44642231, 0.39670017, 0.25642472, -1.34604978e-01, -0.01060351),            (  2.041738  , -3.35477582, 1.27, 2.45274145,  5.84133184, 5.35735455, -1.86, 7.57740199, 0.45743322, 3.73587925, -6.63079415e-03, -0.91316798,  0.02171576, -0.2,  1.18201916e-01,  2.73566555e-02,  0.0506878 ,  0.09266759, -2.50948079e-02, 0.38167558, 0.32180692, 0.40040311, 0.36911279, 0.4475606 , 0.3959831 , 0.24693642, -1.39949642e-01, -0.01035315),            (  2.089296  , -3.35254096, 1.27, 2.44325913,  5.95793157, 5.34925463, -1.86, 7.57695828, 0.45780469, 3.73117387, -6.72829074e-03, -0.90397968,  0.02234611, -0.2,  1.17445870e-01,  2.49946887e-02,  0.04726903,  0.08996102, -2.41439780e-02, 0.3786034 , 0.32055425, 0.39970791, 0.36701574, 0.44872251, 0.39527882, 0.23840549, -1.45445764e-01, -0.01010623),            (  2.137962  , -3.35031722, 1.27, 2.43397214,  6.07861622, 5.3412638 , -1.86, 7.57651457, 0.45817617, 3.72646847, -6.82694714e-03, -0.89464766,  0.02297422, -0.2,  1.16764052e-01,  2.26646522e-02,  0.04385808,  0.08719863, -2.32088090e-02, 0.37567618, 0.31937351, 0.3990393 , 0.36499353, 0.4499075 , 0.39458697, 0.2308379 , -1.51093213e-01, -0.00986287),            (  2.187761  , -3.34809674, 1.27, 2.42485383,  6.20346442, 5.33339228, -1.86, 7.57607087, 0.45854765, 3.72176313, -6.92675149e-03, -0.88517069,  0.02359925, -0.2,  1.16156638e-01,  2.03691806e-02,  0.0404555 ,  0.08438035, -2.23074334e-02, 0.37289909, 0.31826888, 0.39840085, 0.36305432, 0.45111487, 0.39390717, 0.22422949, -1.56893575e-01, -0.00962314),            (  2.2387211 , -3.34585517, 1.27, 2.41587354,  6.33254546, 5.32565273, -1.86, 7.57562715, 0.45891913, 3.71705768, -7.02769026e-03, -0.87554798,  0.02422038, -0.2,  1.15624329e-01,  1.81114774e-02,  0.03706176,  0.08150545, -2.14415417e-02, 0.37027666, 0.31724472, 0.39779483, 0.36120514, 0.45234375, 0.39323907, 0.21856371, -1.62853392e-01, -0.00938709),            (  2.290868  , -3.34357244, 1.27, 2.40700755,  6.46597689, 5.31805972, -1.86, 7.57518344, 0.45929061, 3.71235225, -7.12974835e-03, -0.86578046,  0.0248368 , -0.2,  1.15169188e-01,  1.58952453e-02,  0.03367761,  0.07857269, -2.05917031e-02, 0.36781283, 0.31630561, 0.39722207, 0.35945172, 0.45359308, 0.39258231, 0.2138097 , -1.68985983e-01, -0.00915473),            (  2.344229  , -3.34124229, 1.27, 2.39823954,  6.60393004, 5.31062854, -1.86, 7.57473973, 0.45966209, 3.70764686, -7.23290921e-03, -0.85586945,  0.02544774, -0.2,  1.14793758e-01,  1.37242327e-02,  0.03030396,  0.07558045, -1.97271374e-02, 0.36551092, 0.31545633, 0.39668202, 0.35779844, 0.45486161, 0.39193651, 0.20992111, -1.75310317e-01, -0.00892608),            (  2.398833  , -3.33886436, 1.27, 2.38957045,  6.74669212, 5.30337412, -1.86, 7.57429602, 0.46003357, 3.70294148, -7.33715490e-03, -0.84581619,  0.02605247, -0.2,  1.14499440e-01,  1.16020066e-02,  0.02694195,  0.07252713, -1.88194754e-02, 0.36337364, 0.31470186, 0.3961729 , 0.35624831, 0.45614785, 0.39130127, 0.20683567, -1.81847815e-01, -0.00870116),            (  2.454709  , -3.33644407, 1.27, 2.38102011,  6.89468689, 5.29631005, -1.86, 7.57385231, 0.46040505, 3.69823608, -7.44246612e-03, -0.83562327,  0.0266503 , -0.2,  1.14285286e-01,  9.53188558e-03,  0.02359301,  0.06941138, -1.78618380e-02, 0.36140315, 0.31404736, 0.39569195, 0.35480292, 0.45745012, 0.39067615, 0.20447582, -1.88619044e-01, -0.00848001),            (  2.5118863 , -3.33398941, 1.27, 2.37259984,  7.04831057, 5.28944849, -1.86, 7.57327741, 0.46079563, 3.69332442, -7.54882218e-03, -0.82529526,  0.02724061, -0.2,  1.14148324e-01,  7.51664914e-03,  0.02025871,  0.06623204, -1.68451192e-02, 0.35960103, 0.31349819, 0.39523592, 0.35346259, 0.45876652, 0.3900607 , 0.20275062, -1.95640181e-01, -0.0082627 ),            (  2.570396  , -3.33150822, 1.27, 2.36429882,  7.20782718, 5.28280012, -1.86, 7.57219688, 0.46125986, 3.68761759, -7.65620096e-03, -0.81483741,  0.02782284, -0.2,  1.14083971e-01,  5.55838475e-03,  0.01694057,  0.0629883 , -1.57487768e-02, 0.35796837, 0.31305986, 0.3948017 , 0.35222644, 0.46009491, 0.38945437, 0.20155887, -2.02920188e-01, -0.00804938),            (  2.630268  , -3.32901189, 1.27, 2.35609078,  7.3733816 , 5.27637368, -1.86, 7.57111635, 0.46172409, 3.68191081, -7.76457876e-03, -0.80425472,  0.0283965 , -0.2,  1.14084817e-01,  3.65857063e-03,  0.01363986,  0.05967977, -1.45564342e-02, 0.35650577, 0.31273805, 0.39438716, 0.35109262, 0.46143298, 0.38885662, 0.20079369, -2.10459337e-01, -0.00784024),            (  2.691535  , -3.32651098, 1.27, 2.34794326,  7.54503605, 5.27017568, -1.86, 7.57003582, 0.46218831, 3.676204  , -7.87393022e-03, -0.79355226,  0.02896118, -0.2,  1.14140841e-01,  1.81806343e-03,  0.01035744,  0.05630652, -1.32664138e-02, 0.35521336, 0.31253858, 0.39399236, 0.35005858, 0.46277819, 0.38826683, 0.20034828, -2.18249143e-01, -0.00763558),            (  2.7542283 , -3.32402811, 1.27, 2.33982331,  7.72279141, 5.26421015, -1.86, 7.5689553 , 0.46265254, 3.67049725, -7.98422814e-03, -0.78273533,  0.02951656, -0.2,  1.14241099e-01,  3.64000000e-05,  0.00709377,  0.05286947, -1.19009623e-02, 0.35409087, 0.31246739, 0.39362093, 0.34912137, 0.46412784, 0.38768437, 0.20012251, -2.26273035e-01, -0.00743576),            (  2.818383  , -3.32160207, 1.27, 2.33170304,  7.90661732, 5.25847827, -1.86, 7.56787476, 0.46311677, 3.66479041, -8.09544343e-03, -0.7718096 ,  0.03006237, -0.2,  1.14373813e-01, -1.68814426e-03,  0.00384901,  0.04937062, -1.04937644e-02, 0.35313762, 0.3125305 , 0.39328197, 0.34827804, 0.46547908, 0.38710857, 0.20002983, -2.34508497e-01, -0.00724124),            (  2.884031  , -3.31928195, 1.27, 2.32355662,  8.09642697, 5.25297819, -1.86, 7.56679424, 0.46358099, 3.65908367, -8.20754500e-03, -0.76078223,  0.03059845, -0.2,  1.14527231e-01, -3.35808761e-03,  0.00062313,  0.04581314, -9.07289422e-03, 0.3523526 , 0.31273398, 0.39299055, 0.34752604, 0.46682891, 0.38653878, 0.20000338, -2.42930016e-01, -0.00705243),            (  2.951209  , -3.31711912, 1.27, 2.31535452,  8.2920322 , 5.24770571, -1.86, 7.56571371, 0.46404522, 3.65337685, -8.32049981e-03, -0.74966275,  0.03112468, -0.2,  1.14689939e-01, -4.97686858e-03, -0.00258397,  0.04220095, -7.66086542e-03, 0.35173443, 0.3130839 , 0.39276243, 0.34686362, 0.46817423, 0.38597434, 0.2       , -2.51511437e-01, -0.00686971),            (  3.019952  , -3.3151561 , 1.27, 2.30706007,  8.49311256, 5.24265501, -1.86, 7.56463317, 0.46450945, 3.64767001, -8.43427289e-03, -0.73846291,  0.03164104, -0.2,  1.14851408e-01, -6.54873642e-03, -0.00577231,  0.03853853, -6.27987806e-03, 0.35128145, 0.3135864 , 0.39261232, 0.34629028, 0.46951185, 0.38541462, 0.2       , -2.60227277e-01, -0.00669339),            (  3.090296  , -3.31341671, 1.27, 2.29864244,  8.69932152, 5.23781827, -1.86, 7.56355264, 0.46497368, 3.64196319, -8.54882753e-03, -0.72719548,  0.03214755, -0.2,  1.15003021e-01, -8.07845435e-03, -0.00894141,  0.03483064, -4.95365978e-03, 0.35099168, 0.31424782, 0.39255365, 0.34580708, 0.47083855, 0.38485907, 0.2       , -2.69053507e-01, -0.00652373),            (  3.162278  , -3.31190437, 1.27, 2.29009295,  8.91044376, 5.23318533, -1.86, 7.56247211, 0.46543791, 3.63625641, -8.66412554e-03, -0.71587376,  0.03264427, -0.2,  1.15137090e-01, -9.57096043e-03, -0.01209008,  0.03108234, -3.69611447e-03, 0.35086289, 0.31507408, 0.39259841, 0.34541685, 0.47215109, 0.3843072 , 0.2       , -2.77968571e-01, -0.00636093),            (  3.235937  , -3.31061484, 1.27, 2.28141611,  9.1263527 , 5.22874411, -1.86, 7.56139158, 0.46590214, 3.63054961, -8.78012756e-03, -0.70450965,  0.03313132, -0.2,  1.15247424e-01, -1.10312140e-02, -0.01521635,  0.02729878, -2.52155787e-03, 0.35089257, 0.31607055, 0.39275706, 0.34512426, 0.47344622, 0.3837586 , 0.2       , -2.86955548e-01, -0.00620512),            (  3.311311  , -3.30954013, 1.27, 2.27262068,  9.34695324, 5.22448142, -1.86, 7.56031106, 0.46636636, 3.62484286, -8.89679345e-03, -0.69311378,  0.03360886, -0.2,  1.15329840e-01, -1.24638236e-02, -0.01831751,  0.02348507, -1.46391222e-03, 0.35107797, 0.31724167, 0.39303845, 0.34493553, 0.47472075, 0.38321301, 0.2       , -2.96005464e-01, -0.00605629),            (  3.3884413 , -3.30867575, 1.27, 2.26372431,  9.5722365 , 5.22038392, -1.86, 7.55834518, 0.46686874, 3.61882912, -9.01408272e-03, -0.68169587,  0.03407708, -0.2,  1.15382290e-01, -1.38729437e-02, -0.02138995,  0.01964613, -5.60678946e-04, 0.35141608, 0.31859035, 0.39344987, 0.34485781, 0.47597157, 0.38267028, 0.2       , -3.05119884e-01, -0.00591435),            (  3.4673681 , -3.30802822, 1.27, 2.25476744,  9.80243198, 5.21643957, -1.86, 7.5560214 , 0.46738653, 3.61269132, -9.13195492e-03, -0.67026293,  0.03453621, -0.2,  1.15403686e-01, -1.52623656e-02, -0.02442936,  0.01578681,  1.60017102e-04, 0.35190369, 0.32011782, 0.39399699, 0.34489806, 0.47719566, 0.38213042, 0.2       , -3.14311768e-01, -0.00577909),            (  3.548134  , -3.30761479, 1.27, 2.24579899, 10.0378942 , 5.21263943, -1.86, 7.55369761, 0.46790434, 3.60655346, -9.25037007e-03, -0.65881886,  0.03498649, -0.2,  1.15392640e-01, -1.66350029e-02, -0.02743117,  0.01191204,  6.79464617e-04, 0.35253737, 0.32182443, 0.394684  , 0.34506117, 0.47839015, 0.38159356, 0.2       , -3.23602902e-01, -0.00565019),            (  3.63078   , -3.30745793, 1.27, 2.23685727, 10.2789083 , 5.20897737, -1.86, 7.55137384, 0.46842213, 3.60041569, -9.36928894e-03, -0.64736563,  0.03542819, -0.2,  1.15347455e-01, -1.79922546e-02, -0.03039142,  0.00802662,  9.89587304e-04, 0.35331349, 0.32371008, 0.3955136 , 0.34534848, 0.47955232, 0.38106002, 0.2       , -3.33020847e-01, -0.00552725),            (  3.715352  , -3.30759139, 1.27, 2.22795578, 10.52550659, 5.20544854, -1.86, 7.54905005, 0.46893993, 3.59427786, -9.48867338e-03, -0.63590409,  0.03586164, -0.2,  1.15266642e-01, -1.93342342e-02, -0.03330712,  0.00413505,  1.10315733e-03, 0.35422824, 0.32577361, 0.39648715, 0.34576015, 0.48067964, 0.38053025, 0.2       , -3.42596460e-01, -0.00540979),            (  3.8018932 , -3.30806151, 1.27, 2.2190947 , 10.77754097, 5.20204807, -1.86, 7.54672628, 0.46945773, 3.58814007, -9.60848640e-03, -0.62443434,  0.03628715, -0.2,  1.15148774e-01, -2.06602463e-02, -0.03617624,  0.00024144,  1.05528107e-03, 0.35527769, 0.32801265, 0.39760475, 0.34629609, 0.48176982, 0.38000482, 0.2       , -3.52361675e-01, -0.0052973 ),            (  3.890451  , -3.30891105, 1.27, 2.21026339, 11.03467247, 5.198771  , -1.86, 7.54440249, 0.46997553, 3.58200223, -9.72869229e-03, -0.61295557,  0.0367051 , -0.2,  1.14993073e-01, -2.19693363e-02, -0.03899748, -0.00365046,  8.90165489e-04, 0.35645777, 0.33042388, 0.3988654 , 0.34695594, 0.48282078, 0.37948445, 0.2       , -3.62347586e-01, -0.00518922),            (  3.981071  , -3.31016812, 1.27, 2.2014442 , 11.29638254, 5.19561036, -1.86, 7.54207872, 0.47049333, 3.57586443, -9.84925656e-03, -0.60146559,  0.03711585, -0.2,  1.14800328e-01, -2.32606267e-02, -0.04177007, -0.00753687,  6.62738000e-04, 0.35776431, 0.33300296, 0.40026711, 0.34773916, 0.48383074, 0.37896994, 0.2       , -3.72583164e-01, -0.005085  ),            (  4.073803  , -3.31184059, 1.27, 2.1926257 , 11.56211709, 5.19255814, -1.86, 7.53796222, 0.47100147, 3.56968408, -9.97014579e-03, -0.58996074,  0.03751981, -0.2,  1.14573468e-01, -2.45336960e-02, -0.04449379, -0.01141401,  4.31437476e-04, 0.35919311, 0.33574424, 0.40180709, 0.34864506, 0.48479818, 0.37846219, 0.2       , -3.83094451e-01, -0.00498409),            (  4.168694  , -3.31392748, 1.27, 2.18380579, 11.83133736, 5.18960558, -1.86, 7.53338065, 0.47150709, 3.56349277, -1.00913274e-02, -0.57843678,  0.03791742, -0.2,  1.14317493e-01, -2.57889559e-02, -0.04716884, -0.01527816,  2.39450413e-04, 0.36073994, 0.33864055, 0.40348192, 0.34967285, 0.48572191, 0.37796214, 0.2       , -3.93903535e-01, -0.00488593),            (  4.2657952 , -3.31643136, 1.27, 2.17498967, 12.10351851, 5.18674246, -1.86, 7.52879909, 0.47201271, 3.55730147, -1.02127693e-02, -0.56688917,  0.03830909, -0.2,  1.14038876e-01, -2.70274224e-02, -0.04979572, -0.01912548,  1.08065284e-04, 0.36240064, 0.34168301, 0.40528773, 0.35082168, 0.48660107, 0.37747077, 0.2       , -4.05027494e-01, -0.00479004),            (  4.365158  , -3.31935892, 1.27, 2.16619085, 12.37818966, 5.18395736, -1.86, 7.52421753, 0.47251834, 3.55111018, -1.03344396e-02, -0.55531321,  0.03869527, -0.2,  1.13744465e-01, -2.82506281e-02, -0.05237485, -0.02295178,  3.72000000e-05, 0.36417107, 0.34486221, 0.4072204 , 0.35209079, 0.48743515, 0.37698911, 0.2       , -4.16477504e-01, -0.00469594),            (  4.4668354 , -3.32272405, 1.27, 2.157418  , 12.65477453, 5.1812383 , -1.86, 7.51963597, 0.47302396, 3.54491888, -1.04563058e-02, -0.54370403,  0.03907641, -0.2,  1.13439552e-01, -2.94601936e-02, -0.05490691, -0.02675264,  8.65000000e-06, 0.36604727, 0.34816911, 0.40927574, 0.3534795 , 0.48822404, 0.37651817, 0.2       , -4.28258551e-01, -0.00460324),            (  4.5708813 , -3.32654152, 1.27, 2.14866717, 12.93247143, 5.17857296, -1.86, 7.51505441, 0.47352958, 3.53872758, -1.05783347e-02, -0.53205616,  0.03945294, -0.2,  1.13126524e-01, -3.06575456e-02, -0.05739289, -0.03052373,  9.59000000e-07, 0.3680254 , 0.35159485, 0.41144968, 0.35498734, 0.48896803, 0.37605897, 0.2       , -4.40369574e-01, -0.00451162),            (  4.677351  , -3.33083483, 1.27, 2.1399352 , 13.21042624, 5.17594776, -1.86, 7.51047283, 0.47403521, 3.53253625, -1.07004916e-02, -0.52036373,  0.03982528, -0.2,  1.12805112e-01, -3.18437613e-02, -0.05983398, -0.03426129,  0.00000000e+00, 0.37010185, 0.35513027, 0.41373849, 0.35661398, 0.48966781, 0.37561254, 0.2       , -4.52803898e-01, -0.00442077),            (  4.7863001 , -3.33563526, 1.27, 2.13123619, 13.48798271, 5.17334783, -1.86, 7.50589127, 0.47454083, 3.52634497, -1.08227397e-02, -0.50862014,  0.04019383, -0.2,  1.12472763e-01, -3.30194725e-02, -0.06223146, -0.03796229,  0.00000000e+00, 0.37227324, 0.35876599, 0.41613892, 0.35835929, 0.49032457, 0.37517989, 0.2       , -4.65550093e-01, -0.00433045),            (  4.897787  , -3.34098028, 1.27, 2.12259999, 13.76468831, 5.17075809, -1.86, 7.50130972, 0.47504645, 3.52015367, -1.09450398e-02, -0.49681762,  0.04055896, -0.2,  1.12125608e-01, -3.41845794e-02, -0.06458681, -0.04162438,  0.00000000e+00, 0.37453642, 0.36249261, 0.41864837, 0.36022326, 0.49093995, 0.37476206, 0.2       , -4.78593201e-01, -0.00424042),            (  5.011872  , -3.34690044, 1.27, 2.11406939, 14.04027728, 5.16816458, -1.86, 7.49631422, 0.4755467 , 3.51393166, -1.10673495e-02, -0.48494718,  0.04092101, -0.2,  1.11759269e-01, -3.53383340e-02, -0.06690185, -0.04524527,  0.00000000e+00, 0.37688852, 0.36630077, 0.42126508, 0.36220597, 0.49151606, 0.37436012, 0.2       , -4.91916041e-01, -0.00415048),            (  5.128613  , -3.35342544, 1.27, 2.10570193, 14.31473379, 5.16555325, -1.86, 7.48771422, 0.47600007, 3.50744269, -1.11896232e-02, -0.47299824,  0.04128031, -0.2,  1.11369510e-01, -3.64796510e-02, -0.06917873, -0.04882263,  0.00000000e+00, 0.37932692, 0.37018124, 0.42398822, 0.36430749, 0.49205555, 0.37397517, 0.2       , -5.05500490e-01, -0.00406045),            (  5.248074  , -3.36057527, 1.27, 2.09756016, 14.58816711, 5.1629099 , -1.86, 7.47911416, 0.47645345, 3.50095369, -1.13118112e-02, -0.46095993,  0.04163713, -0.2,  1.10953881e-01, -3.76074540e-02, -0.07141982, -0.05235454,  0.00000000e+00, 0.38184921, 0.37412533, 0.42681827, 0.36652787, 0.49256157, 0.37360838, 0.2       , -5.19328253e-01, -0.00397018),            (  5.3703184 , -3.36837563, 1.27, 2.08969889, 14.8606155 , 5.16022081, -1.86, 7.47051405, 0.47690684, 3.49446464, -1.14338597e-02, -0.44882231,  0.04199172, -0.2,  1.10511833e-01, -3.87207875e-02, -0.07362734, -0.05583974,  0.00000000e+00, 0.38445317, 0.37812523, 0.42975714, 0.368867  , 0.49303781, 0.37326099, 0.2       , -5.33379921e-01, -0.00387954),            (  5.495409  , -3.37686334, 1.27, 2.08215321, 15.13183265, 5.15747273, -1.86, 7.46191403, 0.47736022, 3.48797566, -1.15557109e-02, -0.43657746,  0.04234432, -0.2,  1.10043291e-01, -3.98192687e-02, -0.07580332, -0.0592774 ,  0.00000000e+00, 0.38713668, 0.38217346, 0.43280817, 0.37132458, 0.49348849, 0.37293437, 0.2       , -5.47633455e-01, -0.00378847),            (  5.623413  , -3.3860648 , 1.27, 2.07493966, 15.40129173, 5.15465303, -1.86, 7.45331402, 0.47781359, 3.48148669, -1.16773024e-02, -0.42421956,  0.04269512, -0.2,  1.09547591e-01, -4.09036186e-02, -0.07794964, -0.06266671,  0.00000000e+00, 0.38989765, 0.38626324, 0.43597601, 0.37390002, 0.49391828, 0.37263001, 0.2       , -5.62062787e-01, -0.00369692),            (  5.7543992 , -3.39599091, 1.27, 2.06805865, 15.6682158 , 5.15174979, -1.86, 7.44471398, 0.47826697, 3.4749977 , -1.17985673e-02, -0.41174449,  0.04304428, -0.2,  1.09022302e-01, -4.19757357e-02, -0.08006825, -0.06600682,  0.00000000e+00, 0.392734  , 0.39038883, 0.43926628, 0.37659241, 0.49433229, 0.37234956, 0.2       , -5.76636520e-01, -0.00360492),            (  5.8884363 , -3.40665346, 1.27, 2.06149315, 15.93153481, 5.14875248, -1.86, 7.43588558, 0.47871734, 3.46847958, -1.19194348e-02, -0.39914977,  0.04339195, -0.2,  1.08463805e-01, -4.30380556e-02, -0.08216095, -0.06929691,  0.00000000e+00, 0.39564356, 0.3945452 , 0.44268529, 0.37940049, 0.49473597, 0.37209482, 0.2       , -5.91317424e-01, -0.00351251),            (  6.025596  , -3.4180625 , 1.27, 2.05520865, 16.18985958, 5.14565248, -1.86, 7.42219842, 0.47910367, 3.46134165, -1.20398294e-02, -0.38643471,  0.04373821, -0.2,  1.07868798e-01, -4.40931801e-02, -0.0842291 , -0.07253639,  0.00000000e+00, 0.39862406, 0.39872737, 0.44623968, 0.38232256, 0.49513505, 0.37186776, 0.2       , -6.06063103e-01, -0.00341975),            (  6.1659493 , -3.43023633, 1.27, 2.04916325, 16.44166327, 5.14244484, -1.86, 7.40851138, 0.47949   , 3.45420378, -1.21596721e-02, -0.37360099,  0.04408314, -0.2,  1.07233911e-01, -4.51440982e-02, -0.0862738 , -0.07572481,  0.00000000e+00, 0.40167309, 0.40292957, 0.44993608, 0.38535648, 0.49553547, 0.37167054, 0.2       , -6.20827332e-01, -0.00332676),            (  6.309573  , -3.44320281, 1.27, 2.0433111 , 16.68534661, 5.13912832, -1.86, 7.39482423, 0.47987633, 3.44706586, -1.22788793e-02, -0.36065244,  0.04442675, -0.2,  1.06554785e-01, -4.61946935e-02, -0.08829614, -0.07886164,  0.00000000e+00, 0.40478809, 0.4071451 , 0.45378085, 0.38849967, 0.49594332, 0.37150545, 0.2       , -6.35562082e-01, -0.00323364),            (  6.456542  , -3.4569964 , 1.27, 2.03761123, 16.91943013, 5.1357044 , -1.86, 7.38113709, 0.48026266, 3.43992795, -1.23973641e-02, -0.34759431,  0.044769  , -0.2,  1.05825662e-01, -4.72495806e-02, -0.09029698, -0.08194608,  0.00000000e+00, 0.4079663 , 0.41136704, 0.45777984, 0.39174908, 0.49636472, 0.37137496, 0.2       , -6.50220109e-01, -0.00314052),            (  6.606934  , -3.47166038, 1.27, 2.03203579, 17.14275582, 5.13217827, -1.86, 7.36744998, 0.48064899, 3.43279005, -1.25150353e-02, -0.33443234,  0.04510982, -0.2,  1.05040398e-01, -4.83139470e-02, -0.09227702, -0.08497721,  0.00000000e+00, 0.41120482, 0.41558798, 0.46193823, 0.39510121, 0.49680584, 0.37128166, 0.2       , -6.64757154e-01, -0.00304752),            (  6.7608284 , -3.48722432, 1.27, 2.02656074, 17.35430829, 5.12856002, -1.86, 7.34771903, 0.48098228, 3.42438715, -1.26317980e-02, -0.32117231,  0.04544907, -0.2,  1.04192957e-01, -4.93930095e-02, -0.0942369 , -0.08795399,  0.00000000e+00, 0.41450059, 0.41980047, 0.46626041, 0.3985521 , 0.49727278, 0.37122824, 0.2       , -6.79132562e-01, -0.0029548 ),            (  6.9183082 , -3.50369722, 1.27, 2.02116546, 17.55321332, 5.12486408, -1.86, 7.32410951, 0.48128152, 3.41517242, -1.27475532e-02, -0.30781965,  0.04578655, -0.2,  1.03276916e-01, -5.04914168e-02, -0.09617716, -0.09087495,  0.00000000e+00, 0.41785041, 0.42399787, 0.47074993, 0.4020974 , 0.49777152, 0.37121747, 0.2       , -6.93309381e-01, -0.00286249),            (  7.0794563 , -3.52106034, 1.27, 2.01584034, 17.7389259 , 5.12110678, -1.86, 7.30049998, 0.48158077, 3.40595769, -1.28621977e-02, -0.29437871,  0.04612202, -0.2,  1.02286113e-01, -5.16129673e-02, -0.09809788, -0.09373789,  0.00000000e+00, 0.42125092, 0.4281743 , 0.47540953, 0.40573233, 0.49830792, 0.37125218, 0.2       , -7.07254651e-01, -0.00277075),            (  7.24436   , -3.5392744 , 1.27, 2.01058619, 17.91123414, 5.11730455, -1.86, 7.27689017, 0.48188002, 3.39674284, -1.29756235e-02, -0.28085341,  0.04645516, -0.2,  1.01213773e-01, -5.27603874e-02, -0.09999876, -0.09654015,  0.00000000e+00, 0.42469871, 0.43232427, 0.48024115, 0.40945175, 0.49888764, 0.37133522, 0.2       , -7.20939638e-01, -0.00267975),            (  7.413103  , -3.55830203, 1.27, 2.00539975, 18.06991575, 5.11347328, -1.86, 7.25328062, 0.48217927, 3.3875281 , -1.30877180e-02, -0.26724785,  0.04678563, -0.2,  1.00051605e-01, -5.39352830e-02, -0.10187924, -0.09927892,  0.00000000e+00, 0.42819025, 0.43644293, 0.48524601, 0.41325021, 0.49951613, 0.37146943, 0.2       , -7.34340106e-01, -0.00258964),            (  7.585776  , -3.57810727, 1.27, 2.00027121, 18.21466146, 5.10962854, -1.86, 7.22967113, 0.48247851, 3.37831338, -1.31983636e-02, -0.25356547,  0.04711304, -0.2,  9.87904726e-02, -5.51378995e-02, -0.10373876, -0.10195178,  0.00000000e+00, 0.43172196, 0.44052584, 0.4904247 , 0.41712196, 0.5001986 , 0.37165761, 0.2       , -7.47436819e-01, -0.00250058),            (  7.762471  , -3.59866185, 1.27, 1.99519212, 18.34525689, 5.10578554, -1.86, 7.20606166, 0.48277776, 3.36909867, -1.33074368e-02, -0.23980929,  0.04743695, -0.2,  9.74207130e-02, -5.63675531e-02, -0.10557717, -0.10455652,  0.00000000e+00, 0.43529025, 0.44456869, 0.49577724, 0.42106102, 0.50093996, 0.37190251, 0.2       , -7.60216149e-01, -0.00241269),            (  7.9432821 , -3.61994961, 1.27, 1.99016595, 18.46185148, 5.10195818, -1.86, 7.18245213, 0.48307701, 3.35988394, -1.34148090e-02, -0.22598241,  0.04775692, -0.2,  9.59343129e-02, -5.76228029e-02, -0.10739472, -0.10709129,  0.00000000e+00, 0.43889149, 0.44856741, 0.50130317, 0.42506119, 0.50174488, 0.3722068 , 0.2       , -7.72670195e-01, -0.00232609),            (  8.1283044 , -3.64194462, 1.27, 1.98519455, 18.56462158, 5.09816018, -1.86, 7.15884267, 0.48337625, 3.35066923, -1.35203456e-02, -0.21208654,  0.04807248, -0.2,  9.43260652e-02, -5.89016521e-02, -0.10919179, -0.10955489,  0.00000000e+00, 0.44252208, 0.45251814, 0.50700162, 0.42911613, 0.50261771, 0.37257305, 0.2       , -7.84796359e-01, -0.00224087),            (  8.3176364 , -3.66460712, 1.27, 1.98027131, 18.65358487, 5.09440771, -1.86, 7.1352332 , 0.4836755 , 3.34145452, -1.36239066e-02, -0.19812172,  0.04838315, -0.2,  9.25932723e-02, -6.02014787e-02, -0.11096864, -0.11194658,  0.00000000e+00, 0.44617846, 0.45641717, 0.51287137, 0.43321936, 0.50356251, 0.37300375, 0.2       , -7.96596400e-01, -0.00215708),            (  8.5113792 , -3.6878901 , 1.27, 1.97537987, 18.72854576, 5.09071894, -1.86, 7.09818988, 0.48389712, 3.32880337, -1.37253471e-02, -0.18408622,  0.04868845, -0.2,  9.07349028e-02, -6.15189725e-02, -0.11272534, -0.11426598,  0.00000000e+00, 0.44985709, 0.46026102, 0.51891084, 0.43736434, 0.50458304, 0.37350126, 0.2       , -8.08075299e-01, -0.00207476),            (  8.709635  , -3.71174077, 1.27, 1.97050361, 18.78933364, 5.08711372, -1.86, 7.05994844, 0.48411182, 3.31584574, -1.38245175e-02, -0.16997694,  0.04898788, -0.2,  8.87507913e-02, -6.28507729e-02, -0.11446188, -0.11651318,  0.00000000e+00, 0.45355453, 0.46404686, 0.52511815, 0.44154448, 0.50568278, 0.37406788, 0.2       , -8.19240160e-01, -0.00199392),            (  8.912507  , -3.73610507, 1.27, 1.96562937, 18.83590117, 5.08361303, -1.86, 7.02170734, 0.48432651, 3.30288822, -1.39212647e-02, -0.15579028,  0.04928096, -0.2,  8.66421984e-02, -6.41937815e-02, -0.11617832, -0.11868892,  0.00000000e+00, 0.45726737, 0.4677723 , 0.53149099, 0.44575319, 0.50686489, 0.37470579, 0.2       , -8.30099580e-01, -0.00191453),            (  9.120107  , -3.76092681, 1.27, 1.96074612, 18.86828657, 5.08023813, -1.86, 6.98346577, 0.48454121, 3.28993054, -1.40154329e-02, -0.14152331,  0.04956722, -0.2,  8.44120855e-02, -6.55449583e-02, -0.11787482, -0.12079425,  0.00000000e+00, 0.46099232, 0.47143544, 0.53802668, 0.4499839 , 0.50813226, 0.37541711, 0.2       , -8.40662742e-01, -0.00183657),            (  9.332541  , -3.78613926, 1.27, 1.95584237, 18.88654049, 5.07700857, -1.86, 6.94522449, 0.48475591, 3.27697296, -1.41068650e-02, -0.12717451,  0.04984617, -0.2,  8.20653459e-02, -6.69012882e-02, -0.11955137, -0.12283054,  0.00000000e+00, 0.46472615, 0.4750342 , 0.54472203, 0.45423008, 0.50948753, 0.37620386, 0.2       , -8.50937848e-01, -0.00176002),            (  9.549923  , -3.81168384, 1.27, 1.95091159, 18.89086541, 5.07394175, -1.86, 6.90698325, 0.4849706 , 3.2640154 , -1.41954039e-02, -0.11274408,  0.05011738, -0.2,  7.96085848e-02, -6.82601097e-02, -0.12120794, -0.12479928,  0.00000000e+00, 0.46846574, 0.47856598, 0.55157326, 0.45848529, 0.51093302, 0.37706804, 0.2       , -8.60930945e-01, -0.00168486),            (  9.7723722 , -3.83753814, 1.27, 1.94596081, 18.88184845, 5.07105295, -1.86, 6.86874138, 0.4851853 , 3.25105761, -1.42808947e-02, -0.09823399,  0.0503804 , -0.2,  7.70505012e-02, -6.96189026e-02, -0.12284475, -0.1267017 ,  0.00000000e+00, 0.47220803, 0.48202699, 0.55857596, 0.46274317, 0.51247081, 0.3780116 , 0.2       , -8.70645053e-01, -0.00161109),            ( 10.        , -3.86372417, 1.27, 1.94100672, 18.86034689, 5.06951178, -1.86, 6.8305    , 0.4854    , 3.2381    , -1.43631865e-02, -0.08290216,  0.05063482, -0.2,  7.39812464e-02, -7.10183281e-02, -0.12437344, -0.1283027 ,  0.00000000e+00, 0.47595006, 0.48541315, 0.56572494, 0.46699754, 0.51410272, 0.37903644, 0.2       , -8.80079287e-01, -0.00153872),            ( 10.23293   , -3.89028457, 1.27, 1.93606955, 18.82730148, 5.06844117, -1.86, 6.80045326, 0.48554407, 3.22779895, -1.44421346e-02, -0.06757804,  0.05088025, -0.2,  7.09039346e-02, -7.23709509e-02, -0.12586143, -0.12986528,  0.00000000e+00, 0.47968891, 0.48872067, 0.5730142 , 0.47124265, 0.51583029, 0.38014447, 0.2       , -8.89228414e-01, -0.00146778),            ( 10.471284  , -3.91727022, 1.27, 1.93117832, 18.78386659, 5.06767668, -1.86, 6.77040673, 0.48568814, 3.21749797, -1.45176030e-02, -0.05227906,  0.05111636, -0.2,  6.78256465e-02, -7.36901603e-02, -0.1273234 , -0.13139906,  0.00000000e+00, 0.48342176, 0.49194583, 0.58043676, 0.47547337, 0.51765482, 0.38133758, 0.2       , -8.98083034e-01, -0.00139833),            ( 10.715192  , -3.94476121, 1.27, 1.92638344, 18.73175774, 5.0670923 , -1.86, 6.74035995, 0.48583221, 3.2071969 , -1.45894669e-02, -0.03700894,  0.05134283, -0.2,  6.47488923e-02, -7.49878117e-02, -0.1287707 , -0.13291224,  0.00000000e+00, 0.48714581, 0.49508497, 0.58798453, 0.47968515, 0.5195773 , 0.38261766, 0.2       , -9.06630304e-01, -0.00133044),            ( 10.96478   , -3.97284884, 1.27, 1.92175071, 18.67307967, 5.06660643, -1.86, 6.71031333, 0.48597628, 3.19689589, -1.46576149e-02, -0.02176428,  0.05155939, -0.2,  6.16736452e-02, -7.62726774e-02, -0.13021068, -0.13441065,  0.00000000e+00, 0.49085832, 0.49813548, 0.59564825, 0.48387396, 0.52159847, 0.38398659, 0.2       , -9.14855088e-01, -0.00126418),            ( 11.220183  , -4.00164599, 1.27, 1.91734027, 18.60972804, 5.06617056, -1.86, 6.68026655, 0.48612035, 3.18659482, -1.47219509e-02, -0.00653896,  0.05176584, -0.2,  5.85989060e-02, -7.75507602e-02, -0.13164769, -0.13589818,  0.00000000e+00, 0.49455662, 0.50109623, 0.60341742, 0.4880362 , 0.52371876, 0.38544626, 0.2       , -9.22741590e-01, -0.00119962),            ( 11.481534  , -4.03126106, 1.27, 1.91319344, 18.54300096, 5.06575739, -1.86, 6.6502199 , 0.48626442, 3.17629379, -1.47823968e-02,  0.00867357,  0.05196199, -0.2,  5.55234812e-02, -7.88260251e-02, -0.13308411, -0.13737741,  0.00000000e+00, 0.49823809, 0.50396839, 0.61128032, 0.49216848, 0.52593834, 0.38699853, 0.2       , -9.30275507e-01, -0.00113684),            ( 11.748973  , -4.06179442, 1.27, 1.90933895, 18.47375724, 5.06535236, -1.86, 6.6201732 , 0.48640849, 3.16599276, -1.48388932e-02,  0.02387939,  0.05214775, -0.2,  5.24463022e-02, -8.01010638e-02, -0.13452114, -0.1388501 ,  0.00000000e+00, 0.50190017, 0.50675571, 0.61922401, 0.49626756, 0.52825711, 0.38864524, 0.2       , -9.37446580e-01, -0.00107592),            ( 12.022642  , -4.09329462, 1.27, 1.90580161, 18.40269785, 5.06494833, -1.86, 6.59012645, 0.48655256, 3.1556917 , -1.48914017e-02,  0.03908368,  0.05232306, -0.2,  4.93665902e-02, -8.13775944e-02, -0.13595934, -0.14031753,  0.00000000e+00, 0.50554039, 0.50946398, 0.62723442, 0.50033019, 0.5306747 , 0.39038817, 0.2       , -9.44250102e-01, -0.00101693),            ( 12.302684  , -4.12575715, 1.27, 1.90259689, 18.33026916, 5.0645424 , -1.86, 6.56007986, 0.48669663, 3.1453907 , -1.49399055e-02,  0.05429073,  0.05248791, -0.2,  4.62838315e-02, -8.26567859e-02, -0.13739885, -0.14178061,  0.00000000e+00, 0.50915641, 0.51210005, 0.63529643, 0.50435298, 0.53319051, 0.39222905, 0.2       , -9.50685399e-01, -0.00095991),            ( 12.589251  , -4.15910234, 1.27, 1.89972539, 18.25656182, 5.06413394, -1.86, 6.53003306, 0.4868407 , 3.13508962, -1.49844103e-02,  0.06950397,  0.05259469, -0.2,  4.31977259e-02, -8.39394324e-02, -0.13883959, -0.14324008,  0.00000000e+00, 0.5127459 , 0.5146699 , 0.64339388, 0.50833239, 0.53580357, 0.39416939, 0.2       , -9.56752754e-01, -0.00090494),            ( 12.882492  , -4.19320122, 1.27, 1.89718092, 18.18158357, 5.06372383, -1.86, 6.49998637, 0.48698478, 3.12478859, -1.50249312e-02,  0.08472609,  0.05269464, -0.2,  4.01081220e-02, -8.52260493e-02, -0.14028134, -0.14469653,  0.00000000e+00, 0.51630636, 0.51717833, 0.65150928, 0.51226464, 0.53851203, 0.3962099 , 0.2       , -9.62449334e-01, -0.00085206),            ( 13.182563  , -4.22790177, 1.27, 1.8949596 , 18.10553625, 5.06331393, -1.86, 6.46993972, 0.48712885, 3.11448757, -1.50614596e-02,  0.09995921,  0.0527911 , -0.2,  3.70149296e-02, -8.65169276e-02, -0.14172378, -0.14615048,  0.00000000e+00, 0.51983487, 0.51962909, 0.65962364, 0.51614575, 0.54131275, 0.39835002, 0.2       , -9.67765565e-01, -0.00080137),            ( 13.489624  , -4.26305891, 1.27, 1.89305861, 18.0287733 , 5.06290678, -1.86, 6.4551    , 0.48723449, 3.10916145, -1.50939815e-02,  0.11520497,  0.05288587, -0.2,  3.39180465e-02, -8.78121774e-02, -0.14316654, -0.14760234,  0.00000000e+00, 0.52332806, 0.52202436, 0.66771661, 0.51997148, 0.54420104, 0.40058767, 0.2       , -9.72685722e-01, -0.00075291),            ( 13.80384   , -4.29855669, 1.27, 1.89147709, 17.95179593, 5.06250547, -1.86, 6.4551    , 0.48730264, 3.1086901 , -1.51225182e-02,  0.13046466,  0.05297968, -0.2,  3.08173445e-02, -8.91117395e-02, -0.14460921, -0.14905244,  0.00000000e+00, 0.52678204, 0.52436414, 0.67576664, 0.52373741, 0.54717072, 0.40291914, 0.2       , -9.77190405e-01, -0.00070678),            ( 14.12537   , -4.33430888, 1.27, 1.89021791, 17.87527104, 5.06211342, -1.86, 6.4551    , 0.48737078, 3.10821875, -1.51471571e-02,  0.14573932,  0.05307277, -0.2,  2.77126509e-02, -9.04153935e-02, -0.14605136, -0.15050103,  0.00000000e+00, 0.53019253, 0.5266469 , 0.68375141, 0.527439  , 0.5502141 , 0.40533912, 0.2       , -9.81260440e-01, -0.00066301),            ( 14.454392  , -4.37025756, 1.27, 1.88929397, 17.80017132, 5.06173437, -1.86, 6.4551    , 0.48743893, 3.10774741, -1.51680641e-02,  0.16102969,  0.05316513, -0.2,  2.46038012e-02, -9.17227935e-02, -0.14749254, -0.15194832,  0.00000000e+00, 0.53355494, 0.5288705 , 0.69164828, 0.53107162, 0.55332219, 0.40784085, 0.2       , -9.84881690e-01, -0.00062166),            ( 14.79108   , -4.40637224, 1.27, 1.88871318, 17.72731013, 5.06137226, -1.86, 6.4551    , 0.48750708, 3.10727606, -1.51854768e-02,  0.17633634,  0.05325672, -0.2,  2.14906376e-02, -9.30335282e-02, -0.14893227, -0.15339445,  0.00000000e+00, 0.53686446, 0.5310322 , 0.69943469, 0.53463062, 0.55648496, 0.41041626, 0.2       , -9.88048517e-01, -0.00058274),            ( 15.135614  , -4.44263217, 1.27, 1.88846094, 17.65681875, 5.06103121, -1.86, 6.4551    , 0.48757522, 3.1068047 , -1.51996871e-02,  0.19165957,  0.05334746, -0.2,  1.83729715e-02, -9.43471730e-02, -0.1503701 , -0.15483947,  0.00000000e+00, 0.54011623, 0.53312874, 0.70708877, 0.53811141, 0.55969152, 0.4130562 , 0.2       , -9.90765296e-01, -0.00054623),            ( 15.48817   , -4.4790123 , 1.27, 1.88850184, 17.58819648, 5.06071536, -1.86, 6.4551    , 0.48764337, 3.10633336, -1.52110189e-02,  0.20699957,  0.05343725, -0.2,  1.52506304e-02, -9.56632963e-02, -0.15180557, -0.15628338,  0.00000000e+00, 0.54330543, 0.53515696, 0.71458969, 0.54150952, 0.56293044, 0.41575074, 0.2       , -9.93047108e-01, -0.00051208),            ( 15.848933  , -4.51468404, 1.27, 1.88895338, 17.52524404, 5.06042882, -1.86, 6.4551    , 0.48771152, 3.10586201, -1.52198056e-02,  0.22235634,  0.05352603, -0.2,  1.21235260e-02, -9.69814429e-02, -0.15323827, -0.15772612,  0.00000000e+00, 0.54642741, 0.53711428, 0.72191819, 0.54482065, 0.56619003, 0.41848931, 0.2       , -9.94918990e-01, -0.00048024),            ( 16.218101  , -4.55064374, 1.27, 1.8894501 , 17.45805768, 5.06017575, -1.86, 6.4551    , 0.48777966, 3.10539067, -1.52263759e-02,  0.23772977,  0.05361373, -0.2,  8.99163972e-03, -9.83011289e-02, -0.15466781, -0.15916757,  0.00000000e+00, 0.54947777, 0.53899858, 0.72905688, 0.54804071, 0.56945852, 0.42126105, 0.2       , -9.96414299e-01, -0.00045059),            ( 16.59587   , -4.58693013, 1.27, 1.89004007, 17.38852248, 5.0599603 , -1.86, 6.4551    , 0.48784781, 3.10491932, -1.52310576e-02,  0.25311967,  0.05370029, -0.2,  5.85496677e-03, -9.96218188e-02, -0.15609379, -0.16060755,  0.00000000e+00, 0.55245241, 0.54080805, 0.73599058, 0.5511659 , 0.57272438, 0.42405496, 0.2       , -9.97572786e-01, -0.00042303),            ( 16.98244   , -4.62351252, 1.27, 1.89074513, 17.31779313, 5.05978648, -1.86, 6.4551    , 0.48791596, 3.10444797, -1.52341838e-02,  0.26852582,  0.05378565, -0.2,  2.71346831e-03, -1.00942933e-01, -0.15751582, -0.16204582,  0.00000000e+00, 0.55534763, 0.54254036, 0.74270652, 0.55419266, 0.57597643, 0.42686014, 0.2       , -9.98438541e-01, -0.00039742),            ( 17.37801   , -4.66035536, 1.27, 1.89156473, 17.24642709, 5.05965812, -1.86, 6.4551    , 0.4879841 , 3.10397663, -1.52360920e-02,  0.2839479 ,  0.05386977, -0.2, -4.32925644e-04, -1.02263873e-01, -0.15893355, -0.16348211,  0.00000000e+00, 0.55816011, 0.54419315, 0.74919445, 0.55711774, 0.57920406, 0.42966595, 0.2       , -9.99057586e-01, -0.00037361),            ( 17.782793  , -4.69743087, 1.27, 1.89269644, 17.17471938, 5.05957892, -1.86, 6.4551    , 0.48805225, 3.10350528, -1.52371154e-02,  0.29938549,  0.05395259, -0.2, -3.58431084e-03, -1.03584043e-01, -0.16034662, -0.16491618,  0.00000000e+00, 0.56088694, 0.5457649 , 0.75544668, 0.55993818, 0.5823973 , 0.43246218, 0.2       , -9.99476000e-01, -0.00035147),            ( 18.19701   , -4.73471982, 1.27, 1.89381134, 17.10285505, 5.0595525 , -1.86, 6.4551    , 0.4881204 , 3.10303393, -1.52375655e-02,  0.31483808,  0.05403407, -0.2, -6.74073899e-03, -1.04902847e-01, -0.16175474, -0.1663478 ,  0.00000000e+00, 0.56352561, 0.54725522, 0.76145794, 0.56265128, 0.58554697, 0.43523912, 0.2       , -9.99738610e-01, -0.00033083),            ( 18.62087   , -4.77221137, 1.27, 1.8949039 , 17.03095414, 5.05958235, -1.86, 6.4551    , 0.48818854, 3.10256259, -1.52377067e-02,  0.33030513,  0.05411417, -0.2, -9.90214310e-03, -1.06219704e-01, -0.16315764, -0.16777676,  0.00000000e+00, 0.56607402, 0.54866453, 0.76722527, 0.56525465, 0.58864465, 0.43798773, 0.2       , -9.99887610e-01, -0.00031156),            ( 19.05461   , -4.80990104, 1.27, 1.89597557, 16.95908447, 5.05967176, -1.86, 6.4551    , 0.48825669, 3.10209124, -1.52377286e-02,  0.34578606,  0.05419285, -0.2, -1.30683632e-02, -1.07534085e-01, -0.1645551 , -0.1692029 ,  0.00000000e+00, 0.5685304 , 0.54999409, 0.77274764, 0.56774615, 0.59168275, 0.44069961, 0.2       , -9.99960916e-01, -0.00029353),            ( 19.498443  , -4.84778936, 1.27, 1.89702754, 16.88728155, 5.05982377, -1.86, 6.4551    , 0.48832483, 3.1016199 , -1.52377292e-02,  0.36128019,  0.05427008, -0.2, -1.62391188e-02, -1.08845520e-01, -0.16594687, -0.17062606,  0.00000000e+00, 0.57089338, 0.55124622, 0.77802561, 0.57012391, 0.59465447, 0.44336709, 0.2       , -9.99990194e-01, -0.00027661),            ( 19.952621  , -4.88587971, 1.27, 1.89806024, 16.81556534, 5.06004123, -1.86, 6.4551    , 0.48839298, 3.10114855, -1.52377292e-02,  0.37678682,  0.05434584, -0.2, -1.94140622e-02, -1.10153607e-01, -0.1673327 , -0.17204608,  0.00000000e+00, 0.57316189, 0.55242392, 0.78306082, 0.57238631, 0.59755375, 0.44598324, 0.2       , -9.99998626e-01, -0.00026072),            ( 20.41738   , -4.92417717, 1.27, 1.89907351, 16.74394404, 5.06032671, -1.86, 6.4551    , 0.48843702, 3.10088711, -1.52377292e-02,  0.39230515,  0.0544201 , -0.2, -2.25928414e-02, -1.11457988e-01, -0.1687123 , -0.17346285,  0.00000000e+00, 0.57533521, 0.55353061, 0.78785555, 0.57453198, 0.60037522, 0.44854179, 0.2       , -9.99999934e-01, -0.00024578),            ( 20.89296   , -4.96268794, 1.27, 1.90006631, 16.67240261, 5.0606823 , -1.86, 6.4551    , 0.4884783 , 3.10064978, -1.52377292e-02,  0.40783434,  0.05449284, -0.2, -2.57750943e-02, -1.12758335e-01, -0.17008544, -0.17487623,  0.00000000e+00, 0.57741291, 0.55457016, 0.79241246, 0.57655984, 0.6031141 , 0.45103716, 0.2       , -1.00000000e+00, -0.00023173),            ( 21.37962   , -5.00141892, 1.27, 1.90103681, 16.6009039 , 5.06110954, -1.86, 6.4551    , 0.48851957, 3.10041244, -1.52377292e-02,  0.42337347,  0.05456407, -0.2, -2.89604663e-02, -1.14054357e-01, -0.17145191, -0.17628612,  0.00000000e+00, 0.5793949 , 0.55554729, 0.79673453, 0.57846906, 0.60576622, 0.45346435, 0.2       , -1.00000000e+00, -0.00021853),            ( 21.877611  , -5.04037743, 1.27, 1.90198201, 16.52938017, 5.06160939, -1.86, 6.4551    , 0.48856085, 3.10017511, -1.52377292e-02,  0.43892153,  0.05463379, -0.2, -3.21486251e-02, -1.15345789e-01, -0.17281158, -0.17769239,  0.00000000e+00, 0.58128133, 0.55646679, 0.80082495, 0.58025915, 0.60832787, 0.45581891, 0.2       , -1.00000000e+00, -0.00020614),            ( 22.38721   , -5.07957083, 1.27, 1.90289759, 16.45772953, 5.06218213, -1.86, 6.4551    , 0.48860213, 3.09993778, -1.52377292e-02,  0.4544775 ,  0.054702  , -0.2, -3.53392806e-02, -1.16632389e-01, -0.17416439, -0.17909496,  0.00000000e+00, 0.5830726 , 0.55733347, 0.80468715, 0.58192992, 0.6107958 , 0.45809682, 0.2       , -1.00000000e+00, -0.00019452),            ( 22.908672  , -5.1190064 , 1.27, 1.90377734, 16.38580391, 5.06282731, -1.86, 6.4551    , 0.4886434 , 3.09970045, -1.52377292e-02,  0.47004036,  0.05476873, -0.2, -3.85321741e-02, -1.17913953e-01, -0.17551035, -0.18049378,  0.00000000e+00, 0.58476931, 0.55815244, 0.80832473, 0.58348158, 0.6131671 , 0.46029445, 0.2       , -1.00000000e+00, -0.00018364),            ( 23.442283  , -5.15869113, 1.27, 1.90461466, 16.31344921, 5.06354391, -1.86, 6.4551    , 0.48868468, 3.09946311, -1.52377292e-02,  0.48560914,  0.05483401, -0.2, -4.17270942e-02, -1.19190352e-01, -0.17684956, -0.1818888 ,  0.00000000e+00, 0.58637219, 0.55892908, 0.81174144, 0.58491473, 0.61543914, 0.46240844, 0.2       , -1.00000000e+00, -0.0001735 ),            ( 23.988321  , -5.19863168, 1.27, 1.90540486, 16.24056556, 5.06433043, -1.86, 6.4551    , 0.48872595, 3.09922578, -1.52377292e-02,  0.50118298,  0.05489789, -0.2, -4.49238382e-02, -1.20461531e-01, -0.17818218, -0.18328005,  0.00000000e+00, 0.58788211, 0.5596687 , 0.81494111, 0.58623043, 0.61760947, 0.4644356 , 0.2       , -1.00000000e+00, -0.00016407),            ( 24.54708   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.58929997, 0.56037601, 0.81792767, 0.58743019, 0.61967573, 0.46637287, 0.2       , -1.00000000e+00, -0.00015535),            ( 25.11886   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.59062672, 0.56105468, 0.82070509, 0.58851604, 0.62163559, 0.46821716, 0.2       , -1.00000000e+00, -0.00014733),            ( 25.70395   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.59186335, 0.56170773, 0.8232775 , 0.58949051, 0.62348683, 0.46996552, 0.2       , -1.00000000e+00, -0.00014002),            ( 26.30267   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.59301098, 0.56233687, 0.82564925, 0.59035663, 0.62522743, 0.47161517, 0.2       , -1.00000000e+00, -0.00013342),            ( 26.91534   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.59407089, 0.5629422 , 0.82782507, 0.59111794, 0.62685567, 0.4731636 , 0.2       , -1.00000000e+00, -0.0001275 ),            ( 27.542291  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.59504455, 0.56352271, 0.82981012, 0.59177845, 0.62837023, 0.47460872, 0.2       , -1.00000000e+00, -0.00012227),            ( 28.183832  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.59593368, 0.56407662, 0.83161007, 0.5923426 , 0.62977027, 0.4759489 , 0.2       , -1.00000000e+00, -0.00011769),            ( 28.84032   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.5967403 , 0.56460132, 0.83323116, 0.59281526, 0.63105557, 0.47718312, 0.2       , -1.00000000e+00, -0.00011376),            ( 29.512094  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.59746671, 0.56509382, 0.83468028, 0.59320173, 0.63222655, 0.478311  , 0.2       , -1.00000000e+00, -0.00011044),            ( 30.19952   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.59811561, 0.5655509 , 0.83596494, 0.59350765, 0.63328441, 0.47933294, 0.2       , -1.00000000e+00, -0.0001077 ),            ( 30.902954  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.59869003, 0.56596913, 0.83709333, 0.59373902, 0.63423113, 0.48025015, 0.2       , -1.00000000e+00, -0.00010551),            ( 31.62278   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.59919339, 0.56634525, 0.83807431, 0.59390215, 0.63506957, 0.48106473, 0.2       , -1.00000000e+00, -0.00010381),            ( 32.359363  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.59962949, 0.5666764 , 0.83891736, 0.59400356, 0.6358035 , 0.48177969, 0.2       , -1.00000000e+00, -0.00010253),            ( 33.11311   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60000252, 0.56696011, 0.83963254, 0.59405   , 0.63643754, 0.48239898, 0.2       , -1.00000000e+00, -0.00010161),            ( 33.884414  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60031699, 0.56719442, 0.84023042, 0.59404833, 0.63697724, 0.48292746, 0.2       , -1.00000000e+00, -0.00010098),            ( 34.673683  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60057775, 0.56737859, 0.84072197, 0.59400547, 0.63742896, 0.48337087, 0.2       , -1.00000000e+00, -0.00010056),            ( 35.481334  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60078991, 0.56751369, 0.84111845, 0.59392831, 0.6377998 , 0.48373576, 0.2       , -1.00000000e+00, -0.00010029),            ( 36.3078    ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60095877, 0.56760334, 0.84143124, 0.59382363, 0.63809753, 0.4840294 , 0.2       , -1.00000000e+00, -0.00010014),            ( 37.153514  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60108974, 0.56765345, 0.84167172, 0.59369802, 0.63833043, 0.48425961, 0.2       , -1.00000000e+00, -0.00010006),            ( 38.018932  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60118828, 0.56767182, 0.84185103, 0.59355775, 0.63850708, 0.4844346 , 0.2       , -1.00000000e+00, -0.00010002),            ( 38.90451   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60125975, 0.5676667 , 0.84197989, 0.59340875, 0.6386362 , 0.48456277, 0.2       , -1.00000000e+00, -0.00010001),            ( 39.81071   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.6013093 , 0.56764653, 0.84206842, 0.59325644, 0.63872641, 0.4846525 , 0.2       , -1.00000000e+00, -0.0001    ),            ( 40.73802   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60134177, 0.56761973, 0.84212591, 0.59310568, 0.63878595, 0.48471184, 0.2       , -1.00000000e+00, -0.0001    ),            ( 41.68693   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60136155, 0.56759351, 0.84216062, 0.59306879, 0.63882249, 0.48474833, 0.2       , -1.00000000e+00, -0.0001    ),            ( 42.65794   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60137249, 0.56757271, 0.84217963, 0.59303861, 0.63884282, 0.48476866, 0.2       , -1.00000000e+00, -0.0001    ),            ( 43.65157   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60137776, 0.56755945, 0.8421887 , 0.59301717, 0.63885267, 0.48477854, 0.2       , -1.00000000e+00, -0.0001    ),            ( 44.668342  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60137981, 0.56755301, 0.8421922 , 0.59300322, 0.63885654, 0.48478242, 0.2       , -1.00000000e+00, -0.0001    ),            ( 45.70881   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138037, 0.56755095, 0.84219315, 0.59299437, 0.6388576 , 0.48478348, 0.2       , -1.00000000e+00, -0.0001    ),            ( 46.7735    ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59298837, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 47.862991  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59298341, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 48.97789   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59297818, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 50.11873   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59297171, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 51.286144  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59296334, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 52.480751  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59295262, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 53.703182  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59293924, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 54.95409   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59292298, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 56.23413   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59290375, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 57.543991  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59288147, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 58.884361  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59285613, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 60.255954  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59282773, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 61.6595    ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59279631, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 63.09573   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59276193, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 64.565414  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59272464, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 66.06933   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59268451, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 67.608283  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59264162, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 69.183082  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59259606, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 70.79456   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59254789, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 72.443572  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.5924972 , 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 74.131004  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59244407, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 75.857734  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59238859, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 77.62469   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59233082, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 79.432792  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59227084, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 81.28303   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59220873, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 83.17635   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59214456, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 85.11377   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.5920784 , 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 87.096321  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59201031, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 89.1251    ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59194035, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 91.2011    ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59186859, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 93.32544   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59179508, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 95.49926   ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59171987, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            ( 97.723724  ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.591643  , 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    ),            (100.        ,         nan,  nan,        nan,         nan,        nan,   nan,        nan,        nan,        nan,             nan,         nan,         nan,  nan,             nan,             nan,         nan,         nan,             nan, 0.60138044, 0.56755068, 0.84219326, 0.59156452, 0.63885773, 0.48478361, 0.2       , -1.00000000e+00, -0.0001    )],           dtype=[('freq_hz', '<f8'), ('c1', '<f8'), ('c2', '<f8'), ('c3', '<f8'), ('cn', '<f8'), ('cM', '<f8'), ('c4', '<f8'), ('c5', '<f8'), ('c6', '<f8'), ('chm', '<f8'), ('c7', '<f8'), ('c8', '<f8'), ('c9', '<f8'), ('c10', '<f8'), ('c11a', '<f8'), ('c11b', '<f8'), ('c11c', '<f8'), ('c11d', '<f8'), ('c1a', '<f8'), ('s1', '<f8'), ('s2', '<f8'), ('s3', '<f8'), ('s4', '<f8'), ('s5', '<f8'), ('s6', '<f8'), ('f3', '<f8'), ('f4', '<f8'), ('f5', '<f8')])

FREQS = array([  0.1       ,   0.1023293 ,   0.1047129 ,   0.10715192,          0.10964782,   0.11220184,   0.1148154 ,   0.1174898 ,          0.12022643,   0.1230269 ,   0.12589254,   0.12882494,          0.1318257 ,   0.1348963 ,   0.13803841,   0.14125373,          0.144544  ,   0.14791083,   0.15135611,   0.1548817 ,          0.15848931,   0.162181  ,   0.1659587 ,   0.1698244 ,          0.1737801 ,   0.177828  ,   0.1819701 ,   0.18620871,          0.1905461 ,   0.19498443,   0.1995262 ,   0.2041738 ,          0.20892961,   0.2137962 ,   0.2187762 ,   0.22387212,          0.2290868 ,   0.2344229 ,   0.2398833 ,   0.2454709 ,          0.2511886 ,   0.25703954,   0.2630268 ,   0.26915344,          0.2754229 ,   0.2818383 ,   0.28840312,   0.29512092,          0.3019952 ,   0.30902954,   0.3162278 ,   0.32359364,          0.3311311 ,   0.33884412,   0.34673681,   0.3548134 ,          0.3630781 ,   0.37153521,   0.3801894 ,   0.38904511,          0.39810714,   0.4073803 ,   0.4168694 ,   0.42657953,          0.4365158 ,   0.4466836 ,   0.4570882 ,   0.4677351 ,          0.4786301 ,   0.48977881,   0.5011872 ,   0.51286131,          0.5248075 ,   0.5370318 ,   0.5495409 ,   0.5623413 ,          0.57543992,   0.5888436 ,   0.6025595 ,   0.61659491,          0.6309573 ,   0.6456543 ,   0.6606934 ,   0.676083  ,          0.69183093,   0.7079458 ,   0.72443592,   0.74131023,          0.7585776 ,   0.7762471 ,   0.79432821,   0.81283044,          0.8317637 ,   0.8511381 ,   0.8709636 ,   0.8912509 ,          0.9120108 ,   0.93325424,   0.9549925 ,   0.9772371 ,          1.        ,   1.023293  ,   1.047129  ,   1.0715192 ,          1.096478  ,   1.1220182 ,   1.1481534 ,   1.1748973 ,          1.2022641 ,   1.230269  ,   1.258926  ,   1.28825   ,          1.318257  ,   1.348963  ,   1.3803842 ,   1.4125374 ,          1.44544   ,   1.4791082 ,   1.513561  ,   1.5488164 ,          1.584893  ,   1.62181   ,   1.659587  ,   1.698244  ,          1.737801  ,   1.7782794 ,   1.819701  ,   1.862087  ,          1.905461  ,   1.9498444 ,   1.9952621 ,   2.041738  ,          2.089296  ,   2.137962  ,   2.187761  ,   2.2387211 ,          2.290868  ,   2.344229  ,   2.398833  ,   2.454709  ,          2.5118863 ,   2.570396  ,   2.630268  ,   2.691535  ,          2.7542283 ,   2.818383  ,   2.884031  ,   2.951209  ,          3.019952  ,   3.090296  ,   3.162278  ,   3.235937  ,          3.311311  ,   3.3884413 ,   3.4673681 ,   3.548134  ,          3.63078   ,   3.715352  ,   3.8018932 ,   3.890451  ,          3.981071  ,   4.073803  ,   4.168694  ,   4.2657952 ,          4.365158  ,   4.4668354 ,   4.5708813 ,   4.677351  ,          4.7863001 ,   4.897787  ,   5.011872  ,   5.128613  ,          5.248074  ,   5.3703184 ,   5.495409  ,   5.623413  ,          5.7543992 ,   5.8884363 ,   6.025596  ,   6.1659493 ,          6.309573  ,   6.456542  ,   6.606934  ,   6.7608284 ,          6.9183082 ,   7.0794563 ,   7.24436   ,   7.413103  ,          7.585776  ,   7.762471  ,   7.9432821 ,   8.1283044 ,          8.3176364 ,   8.5113792 ,   8.709635  ,   8.912507  ,          9.120107  ,   9.332541  ,   9.549923  ,   9.7723722 ,         10.        ,  10.23293   ,  10.471284  ,  10.715192  ,         10.96478   ,  11.220183  ,  11.481534  ,  11.748973  ,         12.022642  ,  12.302684  ,  12.589251  ,  12.882492  ,         13.182563  ,  13.489624  ,  13.80384   ,  14.12537   ,         14.454392  ,  14.79108   ,  15.135614  ,  15.48817   ,         15.848933  ,  16.218101  ,  16.59587   ,  16.98244   ,         17.37801   ,  17.782793  ,  18.19701   ,  18.62087   ,         19.05461   ,  19.498443  ,  19.952621  ,  20.41738   ,         20.89296   ,  21.37962   ,  21.877611  ,  22.38721   ,         22.908672  ,  23.442283  ,  23.988321  ,  24.54708   ,         25.11886   ,  25.70395   ,  26.30267   ,  26.91534   ,         27.542291  ,  28.183832  ,  28.84032   ,  29.512094  ,         30.19952   ,  30.902954  ,  31.62278   ,  32.359363  ,         33.11311   ,  33.884414  ,  34.673683  ,  35.481334  ,         36.3078    ,  37.153514  ,  38.018932  ,  38.90451   ,         39.81071   ,  40.73802   ,  41.68693   ,  42.65794   ,         43.65157   ,  44.668342  ,  45.70881   ,  46.7735    ,         47.862991  ,  48.97789   ,  50.11873   ,  51.286144  ,         52.480751  ,  53.703182  ,  54.95409   ,  56.23413   ,         57.543991  ,  58.884361  ,  60.255954  ,  61.6595    ,         63.09573   ,  64.565414  ,  66.06933   ,  67.608283  ,         69.183082  ,  70.79456   ,  72.443572  ,  74.131004  ,         75.857734  ,  77.62469   ,  79.432792  ,  81.28303   ,         83.17635   ,  85.11377   ,  87.096321  ,  89.1251    ,         91.2011    ,  93.32544   ,  95.49926   ,  97.723724  ,        100.        ])

IDX_5Hz = 170

IDX_MAX = 238

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

property freqs

property ln_eas

property eas

property ln_std

static calc_depth_1_0(v_s30: float) → float

Compute the generic depth to 1 km/sec based on Vs30.

Parameters

v_s30 (float) – site condition. Set v_s30 to the reference velocity (e.g., 1180 m/s) for the reference response.

Returns

depth_1_0 – depth to a shear-wave velocity of 1,000 m/sec (\(Z_{1.0}\), km).

Return type

float

class pygmm.BooreStewartSeyhanAtkinson2014(scenario: Scenario)

Bases: GroundMotionModel

Boore, Stewart, Seyhan, and Atkinson (2014, []) model.

This model was developed for active tectonic regions as part of the NGA-West2 effort.

The BSSA14 model defines the following distance attenuation models:

Name	Description
global	Global; California and Taiwan
china_turkey	China and Turkey
italy_japan	Italy and Japan

and the following basin region models:

Name	Description
global	Global / California
japan	Japan

These are simplified into one regional parameter with the following possibilities:

Region	Attenuation	Basin
global	global	global
california	global	global
china	china_turkey	global
italy	italy_japan	global
japan	italy_japan	japan
new zealand	italy_japan	global
taiwan	global	global
turkey	china_turkey	global

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Boore, Stewart, Seyhan, and Atkinson (2014)'

Long name of the model

ABBREV = 'BSSA14'

Short name of the model

V_REF = 760.0

COEFF = rec.array([(-1.   ,  5.037  ,  5.078  ,  4.849   ,  5.033  , 1.073  , -0.1536  ,  0.2252   , 6.2 , -1.243 , 0.1489  , -3.440e-03, 4.5, 1, 5.3 , 0, 0.004345 , -3.3000e-04, -0.84   , 1300.  , 760, 0, 0.1, -1.0000e-01, -0.00844, -9.9000e+00, -9.9000e+00, 105.  , 272.  , 0.082, 0.08 , 225, 300, 0.644, 0.552, 0.401, 0.346),            ( 0.   ,  0.4473 ,  0.4856 ,  0.2459  ,  0.4539 , 1.431  ,  0.05053 , -0.1662   , 5.5 , -1.134 , 0.1917  , -8.088e-03, 4.5, 1, 4.5 , 0, 0.0028576, -2.5500e-03, -0.6    , 1500.  , 760, 0, 0.1, -1.5000e-01, -0.00701, -9.9000e+00, -9.9000e+00, 110.  , 270.  , 0.1  , 0.07 , 225, 300, 0.695, 0.495, 0.398, 0.348),            ( 0.01 ,  0.4534 ,  0.4916 ,  0.2519  ,  0.4599 , 1.421  ,  0.04932 , -0.1659   , 5.5 , -1.134 , 0.1916  , -8.088e-03, 4.5, 1, 4.5 , 0, 0.0028159, -2.4367e-03, -0.60372, 1500.2 , 760, 0, 0.1, -1.4833e-01, -0.00701, -9.9000e+00, -9.9000e+00, 111.67, 270.  , 0.096, 0.07 , 225, 300, 0.698, 0.499, 0.402, 0.345),            ( 0.02 ,  0.48598,  0.52359,  0.29707 ,  0.48875, 1.4331 ,  0.053388, -0.16561  , 5.5 , -1.1394, 0.18962 , -8.074e-03, 4.5, 1, 4.5 , 0, 0.0027795, -2.3400e-03, -0.57388, 1500.36, 760, 0, 0.1, -1.4710e-01, -0.00728, -9.9000e+00, -9.9000e+00, 113.1 , 270.  , 0.092, 0.03 , 225, 300, 0.702, 0.502, 0.409, 0.346),            ( 0.022,  0.49866,  0.53647,  0.31347 ,  0.49973, 1.4336 ,  0.054888, -0.1652   , 5.5 , -1.1405, 0.18924 , -8.095e-03, 4.5, 1, 4.5 , 0, 0.0027597, -2.2886e-03, -0.56675, 1500.68, 760, 0, 0.1, -1.4801e-01, -0.00732, -9.9000e+00, -9.9000e+00, 113.37, 270.  , 0.088, 0.027, 225, 300, 0.707, 0.505, 0.418, 0.349),            ( 0.025,  0.52283,  0.5613 ,  0.34426 ,  0.51999, 1.4328 ,  0.057529, -0.16499  , 5.5 , -1.1419, 0.18875 , -8.153e-03, 4.5, 1, 4.5 , 0, 0.0027542, -2.2500e-03, -0.5552 , 1501.04, 760, 0, 0.1, -1.5015e-01, -0.00736, -9.9000e+00, -9.9000e+00, 113.07, 270.  , 0.086, 0.026, 225, 300, 0.711, 0.508, 0.427, 0.354),            ( 0.029,  0.55949,  0.59923,  0.39146 ,  0.54995, 1.4279 ,  0.060732, -0.16632  , 5.5 , -1.1423, 0.18844 , -8.290e-03, 4.5, 1, 4.5 , 0, 0.0027616, -2.2145e-03, -0.5385 , 1501.26, 760, 0, 0.1, -1.5387e-01, -0.00737, -9.9000e+00, -9.9000e+00, 112.36, 270.  , 0.084, 0.028, 225, 300, 0.716, 0.51 , 0.436, 0.359),            ( 0.03 ,  0.56916,  0.6092 ,  0.40391 ,  0.55783, 1.4261 ,  0.061444, -0.1669   , 5.5 , -1.1421, 0.18842 , -8.336e-03, 4.5, 1, 4.49, 0, 0.0027646, -2.1676e-03, -0.53414, 1502.95, 760, 0, 0.1, -1.5485e-01, -0.00735, -9.9000e+00, -9.9000e+00, 112.13, 270.  , 0.081, 0.029, 225, 300, 0.721, 0.514, 0.445, 0.364),            ( 0.032,  0.58802,  0.62875,  0.42788 ,  0.5733 , 1.4227 ,  0.062806, -0.16813  , 5.5 , -1.1412, 0.1884  , -8.445e-03, 4.5, 1, 4.45, 0, 0.0027691, -2.1167e-03, -0.52529, 1503.12, 760, 0, 0.1, -1.5685e-01, -0.00731, -9.9000e+00, -9.9000e+00, 111.65, 270.  , 0.078, 0.03 , 225, 300, 0.726, 0.516, 0.454, 0.369),            ( 0.035,  0.61636,  0.65818,  0.46252 ,  0.59704, 1.4174 ,  0.064559, -0.17015  , 5.5 , -1.1388, 0.18839 , -8.642e-03, 4.5, 1, 4.4 , 0, 0.0027837, -2.0957e-03, -0.51192, 1503.24, 760, 0, 0.1, -1.6016e-01, -0.00721, -9.9000e+00, -9.9000e+00, 110.64, 270.  , 0.077, 0.031, 225, 300, 0.73 , 0.518, 0.462, 0.374),            ( 0.036,  0.62554,  0.66772,  0.47338 ,  0.60496, 1.4158 ,  0.065028, -0.17083  , 5.5 , -1.1378, 0.18837 , -8.715e-03, 4.5, 1, 4.38, 0, 0.002801 , -2.0748e-03, -0.50752, 1503.32, 760, 0, 0.1, -1.6142e-01, -0.00717, -9.9000e+00, -9.9000e+00, 109.53, 270.  , 0.075, 0.031, 225, 300, 0.734, 0.52 , 0.47 , 0.379),            ( 0.04 ,  0.66281,  0.70604,  0.51532 ,  0.63828, 1.409  ,  0.066183, -0.17357  , 5.5 , -1.1324, 0.18816 , -9.030e-03, 4.5, 1, 4.32, 0, 0.0028219, -2.0539e-03, -0.49065, 1503.35, 760, 0, 0.1, -1.6777e-01, -0.00698, -9.9000e+00, -9.9000e+00, 108.28, 270.  , 0.073, 0.032, 225, 300, 0.738, 0.521, 0.478, 0.384),            ( 0.042,  0.68087,  0.72443,  0.53445 ,  0.65505, 1.4059 ,  0.066438, -0.17485  , 5.5 , -1.1292, 0.18797 , -9.195e-03, 4.5, 1, 4.29, 0, 0.0028465, -2.0348e-03, -0.4829 , 1503.34, 760, 0, 0.1, -1.7193e-01, -0.00687, -9.9000e+00, -9.9000e+00, 106.99, 270.  , 0.072, 0.032, 225, 300, 0.742, 0.523, 0.484, 0.39 ),            ( 0.044,  0.69882,  0.74277,  0.55282 ,  0.67225, 1.4033 ,  0.066663, -0.17619  , 5.5 , -1.1259, 0.18775 , -9.360e-03, 4.5, 1, 4.27, 0, 0.0028738, -2.0157e-03, -0.47572, 1503.13, 760, 0, 0.1, -1.7664e-01, -0.00677, -9.9000e+00, -9.9000e+00, 105.41, 270.  , 0.07 , 0.031, 225, 300, 0.745, 0.525, 0.49 , 0.397),            ( 0.045,  0.70822,  0.75232,  0.56222 ,  0.68139, 1.4021 ,  0.066774, -0.17693  , 5.5 , -1.1242, 0.18764 , -9.441e-03, 4.5, 1, 4.25, 0, 0.0029002, -2.0011e-03, -0.47236, 1502.84, 760, 0, 0.1, -1.7914e-01, -0.00672, -9.9000e+00, -9.9000e+00, 103.61, 270.  , 0.069, 0.031, 225, 300, 0.748, 0.527, 0.496, 0.405),            ( 0.046,  0.71779,  0.76202,  0.57166 ,  0.69076, 1.4009 ,  0.066891, -0.17769  , 5.5 , -1.1224, 0.18752 , -9.521e-03, 4.5, 1, 4.24, 0, 0.0029229, -1.9929e-03, -0.46915, 1502.47, 760, 0, 0.1, -1.8170e-01, -0.00667, -9.9000e+00, -9.9000e+00, 101.7 , 270.  , 0.067, 0.031, 225, 300, 0.75 , 0.529, 0.499, 0.412),            ( 0.048,  0.73574,  0.78015,  0.58888 ,  0.70854, 1.3991 ,  0.067127, -0.1792   , 5.5 , -1.1192, 0.1873  , -9.676e-03, 4.5, 1, 4.22, 0, 0.0029439, -1.9884e-03, -0.46321, 1502.01, 760, 0, 0.1, -1.8688e-01, -0.00656, -9.9000e+00, -9.9000e+00,  99.76, 270.  , 0.065, 0.031, 225, 300, 0.752, 0.53 , 0.502, 0.419),            ( 0.05 ,  0.75436,  0.79905,  0.60652 ,  0.72726, 1.3974 ,  0.067357, -0.18082  , 5.5 , -1.1159, 0.18709 , -9.819e-03, 4.5, 1, 4.2 , 0, 0.0029566, -1.9911e-03, -0.45795, 1501.42, 760, 0, 0.1, -1.9200e-01, -0.00647, -9.9000e+00, -9.9000e+00,  97.93, 270.  , 0.063, 0.03 , 225, 300, 0.753, 0.532, 0.503, 0.426),            ( 0.055,  0.7996 ,  0.8445 ,  0.6477  ,  0.7737 , 1.3947 ,  0.067797, -0.1848   , 5.5 , -1.1082, 0.18655 , -1.012e-02, 4.5, 1, 4.15, 0, 0.0029639, -2.0011e-03, -0.44787, 1500.71, 760, 0, 0.1, -2.0369e-01, -0.00625, -9.9000e+00, -9.9000e+00,  96.03, 270.  , 0.062, 0.029, 225, 300, 0.753, 0.534, 0.502, 0.434),            ( 0.06 ,  0.84394,  0.88884,  0.68562 ,  0.82067, 1.3954 ,  0.068591, -0.18858  , 5.5 , -1.1009, 0.18582 , -1.033e-02, 4.5, 1, 4.11, 0, 0.0029675, -2.0193e-03, -0.44186, 1499.83, 760, 0, 0.1, -2.1374e-01, -0.00607, -9.9000e+00, -9.9000e+00,  94.1 , 270.01, 0.061, 0.027, 225, 300, 0.753, 0.536, 0.499, 0.441),            ( 0.065,  0.88655,  0.93116,  0.71941 ,  0.86724, 1.4004 ,  0.070127, -0.19176  , 5.5 , -1.0942, 0.18485 , -1.048e-02, 4.5, 1, 4.08, 0, 0.0029684, -2.0448e-03, -0.43951, 1498.74, 760, 0, 0.1, -2.2225e-01, -0.00593, -9.9000e+00, -9.9000e+00,  92.08, 270.02, 0.061, 0.025, 225, 300, 0.752, 0.538, 0.495, 0.448),            ( 0.067,  0.9027 ,  0.94711,  0.73171 ,  0.88526, 1.4032 ,  0.070895, -0.19291  , 5.5 , -1.0918, 0.18442 , -1.052e-02, 4.5, 1, 4.07, 0, 0.0029675, -2.0766e-03, -0.4395 , 1497.42, 760, 0, 0.1, -2.2524e-01, -0.00588, -9.9000e+00, -9.9000e+00,  90.01, 270.02, 0.061, 0.025, 225, 300, 0.75 , 0.54 , 0.489, 0.455),            ( 0.07 ,  0.92652,  0.97057,  0.7494  ,  0.91227, 1.4082 ,  0.072075, -0.19451  , 5.5 , -1.0884, 0.18369 , -1.056e-02, 4.5, 1, 4.06, 0, 0.0029639, -2.1148e-03, -0.4404 , 1495.85, 760, 0, 0.1, -2.2931e-01, -0.00582, -9.9000e+00, -9.9000e+00,  87.97, 270.03, 0.062, 0.024, 225, 300, 0.748, 0.541, 0.483, 0.461),            ( 0.075,  0.96447,  1.0077 ,  0.77678 ,  0.9563 , 1.4174 ,  0.073549, -0.19665  , 5.5 , -1.0831, 0.18225 , -1.058e-02, 4.5, 1, 4.04, 0, 0.0029566, -2.1594e-03, -0.44411, 1494.  , 760, 0, 0.1, -2.3500e-01, -0.00573, -9.9000e+00, -9.9000e+00,  85.99, 270.04, 0.064, 0.022, 225, 300, 0.745, 0.542, 0.474, 0.466),            ( 0.08 ,  1.0003 ,  1.0426 ,  0.80161 ,  0.99818, 1.4261 ,  0.073735, -0.19816  , 5.5 , -1.0785, 0.18052 , -1.056e-02, 4.5, 1, 4.02, 0, 0.0029448, -2.2122e-03, -0.4502 , 1491.82, 760, 0, 0.1, -2.3944e-01, -0.00567, -9.9000e+00, -9.9000e+00,  84.23, 270.05, 0.067, 0.02 , 225, 300, 0.741, 0.543, 0.464, 0.468),            ( 0.085,  1.034  ,  1.0755 ,  0.82423 ,  1.0379 , 1.4322 ,  0.07194 , -0.19902  , 5.51, -1.0745, 0.17856 , -1.051e-02, 4.5, 1, 4.03, 0, 0.0029302, -2.2695e-03, -0.45813, 1489.29, 760, 0, 0.1, -2.4285e-01, -0.00563, -9.9000e+00, -9.9000e+00,  82.74, 270.06, 0.072, 0.019, 225, 300, 0.737, 0.543, 0.452, 0.468),            ( 0.09 ,  1.0666 ,  1.1076 ,  0.84591 ,  1.0762 , 1.435  ,  0.068097, -0.19929  , 5.52, -1.0709, 0.17643 , -1.042e-02, 4.5, 1, 4.07, 0, 0.0029138, -2.3269e-03, -0.46732, 1486.36, 760, 0, 0.1, -2.4544e-01, -0.00561, -9.9000e+00, -9.9000e+00,  81.54, 270.07, 0.076, 0.017, 225, 300, 0.734, 0.542, 0.44 , 0.466),            ( 0.095,  1.0981 ,  1.1385 ,  0.86703 ,  1.1127 , 1.4339 ,  0.062327, -0.199    , 5.53, -1.0678, 0.1742  , -1.032e-02, 4.5, 1, 4.1 , 0, 0.0028965, -2.3833e-03, -0.47721, 1482.98, 760, 0, 0.1, -2.4747e-01, -0.0056 , -9.9000e+00, -9.9000e+00,  80.46, 270.08, 0.082, 0.016, 225, 300, 0.731, 0.542, 0.428, 0.464),            ( 0.1  ,  1.1268 ,  1.1669 ,  0.8871  ,  1.1454 , 1.4293 ,  0.055231, -0.19838  , 5.54, -1.0652, 0.17203 , -1.020e-02, 4.5, 1, 4.13, 0, 0.0028792, -2.4388e-03, -0.48724, 1479.12, 760, 0, 0.1, -2.4916e-01, -0.0056 , -9.9000e+00, -9.9000e+00,  79.59, 270.09, 0.087, 0.014, 225, 300, 0.728, 0.541, 0.415, 0.458),            ( 0.11 ,  1.1785 ,  1.2179 ,  0.92702 ,  1.203  , 1.411  ,  0.037389, -0.19601  , 5.57, -1.0607, 0.1677  , -9.964e-03, 4.5, 1, 4.19, 0, 0.0028629, -2.4916e-03, -0.50632, 1474.74, 760, 0, 0.1, -2.5213e-01, -0.00562, -9.9000e+00, -9.9000e+00,  79.05, 270.11, 0.093, 0.012, 225, 300, 0.726, 0.54 , 0.403, 0.451),            ( 0.12 ,  1.223  ,  1.2621 ,  0.96616 ,  1.2502 , 1.3831 ,  0.016373, -0.19265  , 5.62, -1.0572, 0.16352 , -9.722e-03, 4.5, 1, 4.24, 0, 0.0028465, -2.5398e-03, -0.52438, 1469.75, 760, 0, 0.1, -2.5455e-01, -0.00567, -9.9000e+00, -9.9000e+00,  78.85, 270.13, 0.099, 0.011, 225, 300, 0.724, 0.539, 0.392, 0.441),            ( 0.13 ,  1.2596 ,  1.2986 ,  1.0031  ,  1.2869 , 1.3497 , -0.005158, -0.18898  , 5.66, -1.0549, 0.15982 , -9.476e-03, 4.5, 1, 4.29, 0, 0.002831 , -2.5844e-03, -0.54214, 1464.09, 760, 0, 0.1, -2.5628e-01, -0.00572, -9.9000e+00, -9.9000e+00,  78.99, 270.15, 0.104, 0.011, 225, 300, 0.723, 0.538, 0.381, 0.43 ),            ( 0.133,  1.2692 ,  1.3082 ,  1.0135  ,  1.2961 , 1.3395 , -0.011354, -0.18792  , 5.67, -1.0545, 0.15882 , -9.402e-03, 4.5, 1, 4.3 , 0, 0.0028165, -2.6263e-03, -0.54752, 1457.76, 760, 0, 0.1, -2.5665e-01, -0.00574, -9.9000e+00, -9.9000e+00,  79.47, 270.15, 0.11 , 0.011, 225, 300, 0.722, 0.538, 0.371, 0.417),            ( 0.14 ,  1.2883 ,  1.327  ,  1.036   ,  1.3137 , 1.3162 , -0.024711, -0.18566  , 5.7 , -1.0537, 0.15672 , -9.228e-03, 4.5, 1, 4.34, 0, 0.0028019, -2.6663e-03, -0.56032, 1450.71, 760, 0, 0.1, -2.5719e-01, -0.00578, -9.9000e+00, -9.9000e+00,  80.26, 270.16, 0.115, 0.012, 225, 300, 0.721, 0.537, 0.362, 0.403),            ( 0.15 ,  1.3095 ,  1.3481 ,  1.0648  ,  1.3324 , 1.2844 , -0.042065, -0.18234  , 5.74, -1.0532, 0.15401 , -8.977e-03, 4.5, 1, 4.39, 0, 0.0027864, -2.7063e-03, -0.57962, 1442.85, 760, 0, 0.1, -2.5713e-01, -0.00585, -9.9000e+00, -9.9000e+00,  81.33, 270.16, 0.12 , 0.015, 225, 300, 0.72 , 0.537, 0.354, 0.388),            ( 0.16 ,  1.3235 ,  1.3615 ,  1.0876  ,  1.3437 , 1.2541 , -0.057593, -0.17853  , 5.78, -1.0533, 0.15158 , -8.725e-03, 4.5, 1, 4.44, 0, 0.0027646, -2.7509e-03, -0.60052, 1434.22, 760, 0, 0.1, -2.5604e-01, -0.00591, -9.9000e+00, -9.9000e+00,  82.86, 270.16, 0.125, 0.02 , 225, 300, 0.72 , 0.536, 0.349, 0.372),            ( 0.17 ,  1.3306 ,  1.3679 ,  1.104   ,  1.3487 , 1.2244 , -0.071861, -0.17421  , 5.82, -1.0541, 0.14948 , -8.472e-03, 4.5, 1, 4.49, 0, 0.0027336, -2.8019e-03, -0.62252, 1424.85, 760, 0, 0.1, -2.5414e-01, -0.00597, -9.9000e+00, -9.9000e+00,  84.72, 270.14, 0.128, 0.026, 225, 300, 0.718, 0.536, 0.346, 0.357),            ( 0.18 ,  1.3327 ,  1.3689 ,  1.1149  ,  1.3492 , 1.1941 , -0.08564 , -0.16939  , 5.85, -1.0556, 0.14768 , -8.219e-03, 4.5, 1, 4.53, 0, 0.0026991, -2.8547e-03, -0.64486, 1414.77, 760, 0, 0.1, -2.5173e-01, -0.00602, -9.9000e+00, -9.9000e+00,  86.67, 270.11, 0.131, 0.033, 225, 300, 0.717, 0.536, 0.344, 0.341),            ( 0.19 ,  1.3307 ,  1.3656 ,  1.1208  ,  1.3463 , 1.1635 , -0.098884, -0.16404  , 5.89, -1.0579, 0.14616 , -7.967e-03, 4.5, 1, 4.57, 0, 0.0026599, -2.9111e-03, -0.66681, 1403.99, 760, 0, 0.1, -2.4911e-01, -0.00608, -9.9000e+00, -9.9000e+00,  88.73, 270.06, 0.134, 0.039, 225, 300, 0.714, 0.537, 0.343, 0.324),            ( 0.2  ,  1.3255 ,  1.359  ,  1.122   ,  1.3414 , 1.1349 , -0.11096 , -0.15852  , 5.92, -1.0607, 0.14489 , -7.717e-03, 4.5, 1, 4.61, 0, 0.0026117, -2.9702e-03, -0.68762, 1392.61, 760, 0, 0.1, -2.4658e-01, -0.00614, -9.9000e+00, -9.9000e+00,  90.91, 270.  , 0.136, 0.045, 225, 300, 0.711, 0.539, 0.344, 0.309),            ( 0.22 ,  1.3091 ,  1.3394 ,  1.1133  ,  1.3281 , 1.0823 , -0.133   , -0.14704  , 5.97, -1.067 , 0.14263 , -7.224e-03, 4.5, 1, 4.68, 0, 0.0025598, -3.0285e-03, -0.72431, 1380.72, 760, 0, 0.1, -2.4235e-01, -0.00626, -9.9000e+00, -9.9000e+00,  93.04, 269.83, 0.138, 0.052, 225, 300, 0.708, 0.541, 0.345, 0.294),            ( 0.24 ,  1.2881 ,  1.315  ,  1.0945  ,  1.3132 , 1.0366 , -0.15299 , -0.13445  , 6.03, -1.0737, 0.14035 , -6.747e-03, 4.5, 1, 4.75, 0, 0.0025052, -3.0849e-03, -0.75646, 1368.51, 760, 0, 0.1, -2.3823e-01, -0.00638, -9.9000e+00, -9.9000e+00,  95.08, 269.59, 0.14 , 0.055, 225, 300, 0.703, 0.544, 0.347, 0.28 ),            ( 0.25 ,  1.2766 ,  1.3017 ,  1.0828  ,  1.3052 , 1.0166 , -0.16213 , -0.12784  , 6.05, -1.0773, 0.13925 , -6.517e-03, 4.5, 1, 4.78, 0, 0.0024443, -3.1395e-03, -0.77177, 1356.21, 760, 0, 0.1, -2.3574e-01, -0.00644, -9.9000e+00, -9.9000e+00,  97.04, 269.45, 0.141, 0.055, 225, 300, 0.698, 0.547, 0.35 , 0.266),            ( 0.26 ,  1.2651 ,  1.2886 ,  1.071   ,  1.2972 , 0.99932, -0.17041 , -0.12115  , 6.07, -1.0808, 0.13818 , -6.293e-03, 4.5, 1, 4.82, 0, 0.0023797, -3.1896e-03, -0.78697, 1343.89, 760, 0, 0.1, -2.3280e-01, -0.0065 , -9.9000e+00, -9.9000e+00,  98.87, 269.3 , 0.141, 0.055, 225, 300, 0.693, 0.55 , 0.353, 0.255),            ( 0.28 ,  1.2429 ,  1.2635 ,  1.0476  ,  1.2815 , 0.97282, -0.18463 , -0.10714  , 6.11, -1.0879, 0.13604 , -5.866e-03, 4.5, 1, 4.88, 0, 0.0023141, -3.2351e-03, -0.81613, 1331.67, 760, 0, 0.1, -2.2601e-01, -0.0066 , -9.9000e+00, -9.9000e+00, 100.53, 268.96, 0.14 , 0.053, 225, 300, 0.687, 0.554, 0.357, 0.244),            ( 0.29 ,  1.2324 ,  1.2517 ,  1.0363  ,  1.2736 , 0.96348, -0.19057 , -0.10011  , 6.12, -1.0913, 0.13499 , -5.666e-03, 4.5, 1, 4.9 , 0, 0.0022504, -3.2742e-03, -0.8295 , 1319.83, 760, 0, 0.1, -2.2250e-01, -0.00665, -9.9000e+00, -9.9000e+00, 102.01, 268.78, 0.139, 0.051, 225, 300, 0.681, 0.557, 0.36 , 0.236),            ( 0.3  ,  1.2217 ,  1.2401 ,  1.0246  ,  1.2653 , 0.95676, -0.1959  , -0.092855 , 6.14, -1.0948, 0.13388 , -5.475e-03, 4.5, 1, 4.93, 0, 0.0021958, -3.2969e-03, -0.84165, 1308.47, 760, 0, 0.1, -2.1912e-01, -0.0067 , -9.9000e+00, -9.9000e+00, 103.15, 268.59, 0.138, 0.05 , 225, 300, 0.675, 0.561, 0.363, 0.229),            ( 0.32 ,  1.2007 ,  1.2177 ,  1.0011  ,  1.2479 , 0.95004, -0.20454 , -0.078923 , 6.16, -1.1013, 0.13179 , -5.122e-03, 4.5, 1, 4.98, 0, 0.0021549, -3.3033e-03, -0.86175, 1297.65, 760, 0, 0.1, -2.1318e-01, -0.0068 , -9.9000e+00, -9.9000e+00, 104.  , 268.2 , 0.135, 0.048, 225, 300, 0.67 , 0.566, 0.366, 0.223),            ( 0.34 ,  1.179  ,  1.1955 ,  0.97677 ,  1.2286 , 0.94956, -0.21134 , -0.065134 , 6.18, -1.1074, 0.12984 , -4.808e-03, 4.5, 1, 5.03, 0, 0.0021239, -3.2997e-03, -0.87726, 1287.5 , 760, 0, 0.1, -2.0816e-01, -0.00689, -9.9000e+00, -9.9000e+00, 104.7 , 267.79, 0.133, 0.047, 225, 300, 0.664, 0.57 , 0.369, 0.218),            ( 0.35 ,  1.1674 ,  1.1836 ,  0.9638  ,  1.2177 , 0.95077, -0.21446 , -0.057921 , 6.18, -1.1105, 0.1289  , -4.663e-03, 4.5, 1, 5.06, 0, 0.0021039, -3.2869e-03, -0.88375, 1278.06, 760, 0, 0.1, -2.0592e-01, -0.00693, -9.9000e+00, -9.9000e+00, 105.26, 267.58, 0.13 , 0.047, 225, 300, 0.658, 0.573, 0.372, 0.215),            ( 0.36 ,  1.1558 ,  1.172  ,  0.9512  ,  1.2066 , 0.95278, -0.21716 , -0.05104  , 6.19, -1.1133, 0.12806 , -4.527e-03, 4.5, 1, 5.08, 0, 0.0020966, -3.2669e-03, -0.88965, 1269.19, 760, 0, 0.1, -2.0379e-01, -0.00697, -9.9000e+00, -9.9000e+00, 105.61, 267.37, 0.128, 0.047, 225, 300, 0.653, 0.576, 0.375, 0.212),            ( 0.38 ,  1.1305 ,  1.1468 ,  0.9244  ,  1.1816 , 0.95899, -0.22214 , -0.036755 , 6.19, -1.119 , 0.12647 , -4.276e-03, 4.5, 1, 5.12, 0, 0.0020976, -3.2423e-03, -0.90038, 1260.74, 760, 0, 0.1, -1.9978e-01, -0.00705, -9.9000e+00, -9.9000e+00, 105.87, 266.95, 0.125, 0.048, 225, 300, 0.648, 0.578, 0.378, 0.21 ),            ( 0.4  ,  1.1046 ,  1.1214 ,  0.89765 ,  1.1552 , 0.96766, -0.22608 , -0.023189 , 6.2 , -1.1243, 0.12512 , -4.053e-03, 4.5, 1, 5.16, 0, 0.0021067, -3.2123e-03, -0.91092, 1252.66, 760, 0, 0.1, -1.9582e-01, -0.00713, -9.9000e+00, -9.9000e+00, 106.02, 266.54, 0.122, 0.049, 225, 300, 0.643, 0.58 , 0.381, 0.21 ),            ( 0.42 ,  1.0782 ,  1.0955 ,  0.87067 ,  1.1276 , 0.97862, -0.22924 , -0.010417 , 6.2 , -1.1291, 0.12389 , -3.853e-03, 4.5, 1, 5.2 , 0, 0.0021267, -3.1768e-03, -0.92241, 1244.8 , 760, 0, 0.1, -1.9171e-01, -0.00719, -9.9000e+00, -9.9000e+00, 106.03, 266.16, 0.12 , 0.051, 225, 300, 0.638, 0.583, 0.384, 0.21 ),            ( 0.44 ,  1.0515 ,  1.0697 ,  0.84355 ,  1.0995 , 0.99144, -0.23166 ,  0.0011678, 6.2 , -1.1337, 0.12278 , -3.673e-03, 4.5, 1, 5.24, 0, 0.0021603, -3.1322e-03, -0.93459, 1237.03, 760, 0, 0.1, -1.8747e-01, -0.00726, -9.9000e+00, -9.9000e+00, 105.92, 265.8 , 0.117, 0.053, 225, 300, 0.634, 0.585, 0.388, 0.211),            ( 0.45 ,  1.0376 ,  1.0562 ,  0.82941 ,  1.0847 , 0.99876, -0.23263 ,  0.0065887, 6.2 , -1.1359, 0.12227 , -3.590e-03, 4.5, 1, 5.25, 0, 0.0022022, -3.0794e-03, -0.94075, 1229.23, 760, 0, 0.1, -1.8534e-01, -0.00729, -9.9000e+00, -9.9000e+00, 105.79, 265.64, 0.115, 0.054, 225, 300, 0.629, 0.589, 0.393, 0.213),            ( 0.46 ,  1.0234 ,  1.0426 ,  0.81509 ,  1.0696 , 1.0064 , -0.2335  ,  0.011871 , 6.2 , -1.1381, 0.12177 , -3.510e-03, 4.5, 1, 5.27, 0, 0.0022495, -3.0212e-03, -0.94686, 1221.16, 760, 0, 0.1, -1.8321e-01, -0.00732, -9.9000e+00, -9.9000e+00, 105.69, 265.48, 0.113, 0.055, 225, 300, 0.624, 0.592, 0.398, 0.216),            ( 0.48 ,  0.99719,  1.0172 ,  0.7886  ,  1.0415 , 1.0215 , -0.23464 ,  0.020767 , 6.2 , -1.142 , 0.12093 , -3.360e-03, 4.5, 1, 5.3 , 0, 0.0022978, -2.9639e-03, -0.95863, 1212.74, 760, 0, 0.1, -1.7902e-01, -0.00738, -9.9000e+00, -9.9000e+00, 105.59, 265.21, 0.111, 0.057, 225, 300, 0.619, 0.595, 0.404, 0.219),            ( 0.5  ,  0.96991,  0.99106,  0.7615  ,  1.012  , 1.0384 , -0.23522 ,  0.029119 , 6.2 , -1.1459, 0.12015 , -3.220e-03, 4.5, 1, 5.34, 0, 0.0023478, -2.9065e-03, -0.9693 , 1203.91, 760, 0, 0.1, -1.7500e-01, -0.00744, -9.9000e+00, -9.9000e+00, 105.54, 265.  , 0.109, 0.06 , 225, 300, 0.615, 0.599, 0.41 , 0.224),            ( 0.55 ,  0.9048 ,  0.9283 ,  0.6984  ,  0.9417 , 1.0833 , -0.23449 ,  0.046932 , 6.2 , -1.1543, 0.11847 , -2.897e-03, 4.5, 1, 5.41, 0, 0.0023988, -2.8483e-03, -0.98925, 1194.59, 760, 0, 0.1, -1.6601e-01, -0.00758, -9.9000e+00, -9.9000e+00, 105.61, 264.74, 0.108, 0.066, 225, 300, 0.61 , 0.603, 0.417, 0.229),            ( 0.6  ,  0.84165,  0.86715,  0.63875 ,  0.87351, 1.1336 , -0.23128 ,  0.062667 , 6.2 , -1.1615, 0.11671 , -2.610e-03, 4.5, 1, 5.48, 0, 0.0024515, -2.7892e-03, -1.0012 , 1184.93, 760, 0, 0.1, -1.5830e-01, -0.00773, -9.9000e+00, -9.9000e+00, 105.83, 264.83, 0.106, 0.071, 225, 300, 0.605, 0.607, 0.424, 0.235),            ( 0.65 ,  0.78181,  0.80876,  0.58231 ,  0.80948, 1.1861 , -0.22666 ,  0.077997 , 6.2 , -1.1676, 0.11465 , -2.356e-03, 4.5, 1, 5.53, 0, 0.002508 , -2.7273e-03, -1.0078 , 1175.19, 760, 0, 0.1, -1.5144e-01, -0.00787,  5.8286e-03,  3.7620e-03, 106.2 , 265.2 , 0.105, 0.073, 225, 300, 0.599, 0.611, 0.431, 0.243),            ( 0.667,  0.76262,  0.78994,  0.56422 ,  0.78916, 1.2035 , -0.22497 ,  0.083058 , 6.2 , -1.1694, 0.11394 , -2.276e-03, 4.5, 1, 5.54, 0, 0.002568 , -2.6618e-03, -1.0093 , 1165.69, 760, 0, 0.1, -1.4923e-01, -0.00792,  2.6446e-02,  1.7100e-02, 106.75, 265.38, 0.103, 0.074, 225, 300, 0.593, 0.615, 0.44 , 0.25 ),            ( 0.7  ,  0.72513,  0.75302,  0.52878 ,  0.74985, 1.2375 , -0.22143 ,  0.093185 , 6.2 , -1.1728, 0.11253 , -2.131e-03, 4.5, 1, 5.56, 0, 0.002629 , -2.5953e-03, -1.0117 , 1156.46, 760, 0, 0.1, -1.4503e-01, -0.008  ,  5.5495e-02,  3.5728e-02, 107.48, 265.78, 0.102, 0.073, 225, 300, 0.587, 0.619, 0.448, 0.258),            ( 0.75 ,  0.66903,  0.69737,  0.47523 ,  0.69173, 1.2871 , -0.21591 ,  0.10829  , 6.2 , -1.1777, 0.11054 , -1.931e-03, 4.5, 1, 5.6 , 0, 0.00269  , -2.5271e-03, -1.0154 , 1147.59, 760, 0, 0.1, -1.3866e-01, -0.00812,  9.2259e-02,  5.9024e-02, 108.39, 266.51, 0.1  , 0.07 , 225, 300, 0.581, 0.622, 0.457, 0.266),            ( 0.8  ,  0.61346,  0.64196,  0.42173 ,  0.63519, 1.3341 , -0.21047 ,  0.12256  , 6.2 , -1.1819, 0.10873 , -1.754e-03, 4.5, 1, 5.63, 0, 0.0027464, -2.4561e-03, -1.021  , 1139.21, 760, 0, 0.1, -1.3201e-01, -0.00822,  1.4040e-01,  8.8481e-02, 109.62, 267.32, 0.099, 0.063, 225, 300, 0.576, 0.624, 0.466, 0.274),            ( 0.85 ,  0.55853,  0.58698,  0.36813 ,  0.57969, 1.378  , -0.20528 ,  0.13608  , 6.2 , -1.1854, 0.10709 , -1.597e-03, 4.5, 1, 5.66, 0, 0.0027973, -2.3787e-03, -1.0282 , 1131.34, 760, 0, 0.1, -1.2517e-01, -0.0083 ,  1.9495e-01,  1.2029e-01, 111.08, 268.14, 0.099, 0.053, 225, 300, 0.57 , 0.625, 0.475, 0.281),            ( 0.9  ,  0.50296,  0.53136,  0.31376 ,  0.52361, 1.4208 , -0.20011 ,  0.14983  , 6.2 , -1.1884, 0.10548 , -1.456e-03, 4.5, 1, 5.69, 0, 0.0028428, -2.2932e-03, -1.036  , 1123.91, 760, 0, 0.1, -1.1831e-01, -0.00836,  2.5203e-01,  1.5159e-01, 112.71, 268.9 , 0.098, 0.042, 225, 300, 0.564, 0.626, 0.483, 0.288),            ( 0.95 ,  0.44701,  0.47541,  0.25919 ,  0.46706, 1.4623 , -0.1949  ,  0.16432  , 6.2 , -1.1909, 0.10389 , -1.328e-03, 4.5, 1, 5.72, 0, 0.0028847, -2.1958e-03, -1.0436 , 1116.83, 760, 0, 0.1, -1.1160e-01, -0.00841,  3.0940e-01,  1.8077e-01, 114.5 , 269.55, 0.098, 0.03 , 225, 300, 0.558, 0.626, 0.491, 0.294),            ( 1.   ,  0.3932 ,  0.4218 ,  0.207   ,  0.4124 , 1.5004 , -0.18983 ,  0.17895  , 6.2 , -1.193 , 0.10248 , -1.210e-03, 4.5, 1, 5.74, 0, 0.0029211, -2.0894e-03, -1.05   , 1109.95, 760, 0, 0.1, -1.0521e-01, -0.00844,  3.6695e-01,  2.0789e-01, 116.39, 270.  , 0.098, 0.02 , 225, 300, 0.553, 0.625, 0.498, 0.298),            ( 1.1  ,  0.28484,  0.31374,  0.10182 ,  0.30209, 1.569  , -0.18001 ,  0.21042  , 6.2 , -1.1966, 0.10016 , -9.940e-04, 4.5, 1, 5.82, 0, 0.0029539, -1.9774e-03, -1.0573 , 1103.07, 760, 0, 0.1, -9.3837e-02, -0.00847,  4.2452e-01,  2.3310e-01, 118.3 , 270.18, 0.099, 0.007, 225, 300, 0.548, 0.624, 0.505, 0.302),            ( 1.2  ,  0.1734 ,  0.20259, -0.006195,  0.18866, 1.6282 , -0.1709  ,  0.2441   , 6.2 , -1.1996, 0.098482, -8.030e-04, 4.5, 1, 5.92, 0, 0.0029821, -1.8619e-03, -1.0584 , 1096.04, 760, 0, 0.1, -8.4144e-02, -0.00842,  4.8116e-01,  2.5606e-01, 120.19, 269.42, 0.1  , 0.002, 225, 300, 0.543, 0.623, 0.511, 0.306),            ( 1.3  ,  0.06152,  0.09106, -0.11345 ,  0.07433, 1.6794 , -0.16233 ,  0.27799  , 6.2 , -1.2018, 0.097375, -6.350e-04, 4.5, 1, 6.01, 0, 0.0030066, -1.7454e-03, -1.0554 , 1088.67, 760, 0, 0.1, -7.5819e-02, -0.00829,  5.3597e-01,  2.7648e-01, 122.01, 267.82, 0.101, 0.003, 225, 300, 0.539, 0.622, 0.516, 0.309),            ( 1.4  , -0.04575, -0.0157 , -0.2155  , -0.03607, 1.7239 , -0.15413 ,  0.30956  , 6.2 , -1.2039, 0.096743, -4.900e-04, 4.5, 1, 6.1 , 0, 0.0030258, -1.6298e-03, -1.0504 , 1080.77, 760, 0, 0.1, -6.8543e-02, -0.00806,  5.8832e-01,  2.9424e-01, 123.75, 265.45, 0.102, 0.006, 225, 300, 0.535, 0.62 , 0.521, 0.312),            ( 1.5  , -0.14954, -0.11866, -0.3138  , -0.1437 , 1.7622 , -0.1467  ,  0.33896  , 6.2 , -1.2063, 0.096445, -3.650e-04, 4.5, 1, 6.18, 0, 0.0030394, -1.5179e-03, -1.0454 , 1072.39, 760, 0, 0.1, -6.2000e-02, -0.00771,  6.3789e-01,  3.0944e-01, 125.38, 262.41, 0.104, 0.01 , 225, 300, 0.532, 0.619, 0.525, 0.315),            ( 1.6  , -0.2486 , -0.21672, -0.40682 , -0.24708, 1.7955 , -0.13997 ,  0.36616  , 6.2 , -1.2086, 0.096338, -2.590e-04, 4.5, 1, 6.26, 0, 0.0030412, -1.4114e-03, -1.0421 , 1061.77, 760, 0, 0.1, -5.5927e-02, -0.00723,  6.8889e-01,  3.2449e-01, 126.9 , 258.78, 0.105, 0.012, 225, 300, 0.529, 0.618, 0.528, 0.318),            ( 1.7  , -0.34145, -0.3084 , -0.49295 , -0.34465, 1.8259 , -0.13361 ,  0.39065  , 6.2 , -1.2106, 0.096254, -1.710e-04, 4.5, 1, 6.33, 0, 0.0030258, -1.3231e-03, -1.0404 , 1049.29, 760, 0, 0.1, -5.0286e-02, -0.00666,  7.3578e-01,  3.3720e-01, 128.14, 254.66, 0.106, 0.012, 225, 300, 0.527, 0.618, 0.53 , 0.321),            ( 1.8  , -0.42975, -0.39558, -0.57388 , -0.43818, 1.8564 , -0.12686 ,  0.41244  , 6.2 , -1.2123, 0.096207, -9.900e-05, 4.5, 1, 6.4 , 0, 0.0030003, -1.2531e-03, -1.0397 , 1036.42, 760, 0, 0.1, -4.5096e-02, -0.00603,  7.7992e-01,  3.4963e-01, 129.11, 250.11, 0.106, 0.012, 225, 300, 0.526, 0.618, 0.531, 0.323),            ( 1.9  , -0.51276, -0.47731, -0.64899 , -0.52682, 1.8868 , -0.11959 ,  0.43151  , 6.2 , -1.2141, 0.096255, -4.200e-05, 4.5, 1, 6.48, 0, 0.0029675, -1.2012e-03, -1.0395 , 1023.14, 760, 0, 0.1, -4.0373e-02, -0.0054 ,  8.2427e-01,  3.6413e-01, 129.86, 245.25, 0.106, 0.01 , 225, 300, 0.526, 0.618, 0.532, 0.326),            ( 2.   , -0.58669, -0.55003, -0.71466 , -0.60658, 1.9152 , -0.11237 ,  0.44788  , 6.2 , -1.2159, 0.096361,  0.000e+00, 4.5, 1, 6.54, 0, 0.0029229, -1.1703e-03, -1.0392 , 1009.49, 760, 0, 0.1, -3.6136e-02, -0.00479,  8.7138e-01,  3.8245e-01, 130.37, 240.14, 0.105, 0.008, 225, 300, 0.526, 0.618, 0.532, 0.329),            ( 2.2  , -0.72143, -0.6822 , -0.83003 , -0.75402, 1.9681 , -0.098017,  0.48024  , 6.2 , -1.219 , 0.096497,  0.000e+00, 4.5, 1, 6.66, 0, 0.0028701, -1.1566e-03, -1.0368 ,  995.52, 760, 0, 0.1, -2.9105e-02, -0.00378,  9.2033e-01,  4.0402e-01, 130.67, 229.55, 0.103, 0.005, 225, 300, 0.527, 0.619, 0.533, 0.332),            ( 2.4  , -0.8481 , -0.8069 , -0.9326  , -0.8941 , 2.017  , -0.083765,  0.51873  , 6.2 , -1.2202, 0.096198,  0.000e+00, 4.5, 1, 6.73, 0, 0.0028146, -1.1548e-03, -1.0323 ,  981.33, 760, 0, 0.1, -2.3710e-02, -0.00302,  9.6931e-01,  4.2742e-01, 130.81, 219.05, 0.1  , 0.003, 225, 300, 0.528, 0.619, 0.533, 0.335),            ( 2.5  , -0.90966, -0.86765, -0.98228 , -0.96187, 2.0406 , -0.076308,  0.53883  , 6.2 , -1.2201, 0.096106,  0.000e+00, 4.5, 1, 6.77, 0, 0.0027609, -1.1593e-03, -1.0294 ,  966.94, 760, 0, 0.1, -2.1509e-02, -0.00272,  1.0167e+00,  4.5142e-01, 130.81, 214.04, 0.097, 0.002, 225, 300, 0.53 , 0.619, 0.534, 0.337),            ( 2.6  , -0.96863, -0.92577, -1.0313  , -1.0266 , 2.0628 , -0.068925,  0.5581   , 6.2 , -1.2198, 0.096136,  0.000e+00, 4.5, 1, 6.81, 0, 0.0027082, -1.1684e-03, -1.0262 ,  952.34, 760, 0, 0.1, -1.9576e-02, -0.00246,  1.0601e+00,  4.7422e-01, 130.72, 209.32, 0.094, 0.001, 225, 300, 0.531, 0.62 , 0.535, 0.34 ),            ( 2.8  , -1.0817 , -1.0367 , -1.1301  , -1.1495 , 2.1014 , -0.055229,  0.59394  , 6.2 , -1.2189, 0.096667,  0.000e+00, 4.5, 1, 6.87, 0, 0.0026581, -1.1803e-03, -1.019  ,  937.52, 760, 0, 0.1, -1.6324e-02, -0.00208,  1.0990e+00,  4.9536e-01, 130.57, 201.08, 0.091, 0.   , 225, 300, 0.532, 0.619, 0.536, 0.342),            ( 3.   , -1.1898 , -1.142  , -1.23    , -1.2664 , 2.1323 , -0.04332 ,  0.62694  , 6.2 , -1.2179, 0.097638,  0.000e+00, 4.5, 1, 6.93, 0, 0.0026163, -1.1885e-03, -1.0112 ,  922.43, 760, 0, 0.1, -1.3577e-02, -0.00183,  1.1348e+00,  5.1585e-01, 130.36, 195.  , 0.088, 0.   , 225, 300, 0.534, 0.619, 0.537, 0.344),            ( 3.2  , -1.2914 , -1.2406 , -1.3255  , -1.376  , 2.1545 , -0.03444 ,  0.65811  , 6.2 , -1.2169, 0.098649, -2.300e-05, 4.5, 1, 6.99, 0, 0.002588 , -1.1921e-03, -1.0032 ,  908.79, 760, 0, 0.1, -1.1030e-02, -0.00167,  1.1638e+00,  5.3411e-01, 130.13, 191.61, 0.084, 0.   , 225, 300, 0.535, 0.618, 0.538, 0.345),            ( 3.4  , -1.386  , -1.3322 , -1.415   , -1.4786 , 2.1704 , -0.027889,  0.68755  , 6.2 , -1.216 , 0.099553, -4.000e-05, 4.5, 1, 7.08, 0, 0.0025753, -1.1866e-03, -0.99512,  896.15, 760, 0, 0.1, -8.6652e-03, -0.00158,  1.1882e+00,  5.5145e-01, 129.9 , 190.73, 0.081, 0.   , 225, 300, 0.535, 0.618, 0.54 , 0.346),            ( 3.5  , -1.4332 , -1.3778 , -1.4599  , -1.5297 , 2.1775 , -0.024997,  0.70216  , 6.2 , -1.2156, 0.099989, -4.500e-05, 4.5, 1, 7.12, 0, 0.0025717, -1.1739e-03, -0.991  ,  883.16, 760, 0, 0.1, -7.5682e-03, -0.00155,  1.2114e+00,  5.6981e-01, 129.71, 191.11, 0.078, 0.   , 225, 300, 0.536, 0.617, 0.541, 0.347),            ( 3.6  , -1.4762 , -1.4193 , -1.5014  , -1.5764 , 2.1834 , -0.022575,  0.71523  , 6.2 , -1.2156, 0.10043 , -4.900e-05, 4.5, 1, 7.16, 0, 0.0025735, -1.1539e-03, -0.98682,  870.05, 760, 0, 0.1, -6.5374e-03, -0.00154,  1.2336e+00,  5.8932e-01, 129.56, 191.98, 0.075, 0.   , 225, 300, 0.536, 0.616, 0.542, 0.348),            ( 3.8  , -1.5617 , -1.5014 , -1.5865  , -1.6685 , 2.1938 , -0.018362,  0.74028  , 6.2 , -1.2158, 0.10142 , -5.300e-05, 4.5, 1, 7.24, 0, 0.0025862, -1.1229e-03, -0.97826,  857.07, 760, 0, 0.1, -4.7016e-03, -0.00152,  1.2534e+00,  6.0918e-01, 129.49, 195.01, 0.072, 0.   , 225, 300, 0.536, 0.616, 0.543, 0.349),            ( 4.   , -1.6388 , -1.5748 , -1.6673  , -1.7516 , 2.204  , -0.014642,  0.76303  , 6.2 , -1.2162, 0.10218 , -5.200e-05, 4.5, 1, 7.32, 0, 0.0026053, -1.0829e-03, -0.96938,  844.48, 760, 0, 0.1, -3.2123e-03, -0.00152,  1.2711e+00,  6.2939e-01, 129.49, 199.45, 0.07 , 0.   , 225, 300, 0.536, 0.616, 0.543, 0.349),            ( 4.2  , -1.7116 , -1.6439 , -1.7451  , -1.829  , 2.2123 , -0.012248,  0.78552  , 6.2 , -1.2165, 0.10269 , -4.700e-05, 4.5, 1, 7.39, 0, 0.002619 , -1.0247e-03, -0.96012,  832.45, 760, 0, 0.1, -2.1033e-03, -0.00152,  1.2870e+00,  6.5157e-01, 129.57, 204.93, 0.068, 0.   , 225, 300, 0.535, 0.616, 0.542, 0.349),            ( 4.4  , -1.7798 , -1.7089 , -1.8192  , -1.9011 , 2.2181 , -0.011459,  0.80792  , 6.2 , -1.2169, 0.10304 , -3.900e-05, 4.5, 1, 7.46, 0, 0.0026235, -9.4640e-04, -0.95049,  821.18, 760, 0, 0.1, -1.3244e-03, -0.0015 ,  1.3004e+00,  6.7421e-01, 129.71, 211.09, 0.066, 0.   , 225, 300, 0.534, 0.617, 0.54 , 0.347),            ( 4.6  , -1.8469 , -1.7731 , -1.8923  , -1.9712 , 2.223  , -0.01176 ,  0.83126  , 6.2 , -1.2175, 0.10324 , -2.700e-05, 4.5, 1, 7.52, 0, 0.0026217, -8.4448e-04, -0.9405 ,  810.79, 760, 0, 0.1, -8.0422e-04, -0.00148,  1.3125e+00,  6.9698e-01, 129.87, 217.56, 0.064, 0.   , 225, 300, 0.533, 0.619, 0.538, 0.345),            ( 4.8  , -1.9063 , -1.8303 , -1.9573  , -2.0326 , 2.2268 , -0.012879,  0.8524   , 6.2 , -1.2182, 0.10337 , -1.400e-05, 4.5, 1, 7.64, 0, 0.0026153, -7.1799e-04, -0.93018,  801.41, 760, 0, 0.1, -4.7145e-04, -0.00146,  1.3225e+00,  7.1888e-01, 130.05, 223.99, 0.063, 0.   , 225, 300, 0.531, 0.621, 0.535, 0.341),            ( 5.   , -1.966  , -1.8882 , -2.0245  , -2.0928 , 2.2299 , -0.014855,  0.87314  , 6.2 , -1.2189, 0.10353 ,  0.000e+00, 4.5, 1, 7.78, 0, 0.0026035, -5.7148e-04, -0.91954,  793.13, 760, 0, 0.1, -2.5480e-04, -0.00144,  1.3289e+00,  7.3806e-01, 130.22, 230.  , 0.061, 0.   , 225, 300, 0.528, 0.622, 0.532, 0.335),            ( 5.5  , -2.1051 , -2.0232 , -2.1908  , -2.2288 , 2.2389 , -0.019502,  0.91466  , 6.2 , -1.2204, 0.1046  ,  0.000e+00, 4.5, 1, 8.07, 0, 0.0025908, -4.0768e-04, -0.89176,  785.73, 760, 0, 0.1,  7.2383e-05, -0.0014 ,  1.3450e+00,  7.7790e-01, 130.39, 241.86, 0.06 , 0.   , 225, 300, 0.526, 0.624, 0.528, 0.329),            ( 6.   , -2.2421 , -2.1563 , -2.3659  , -2.3579 , 2.2377 , -0.026383,  0.9487   , 6.2 , -1.2232, 0.1075  ,  0.000e+00, 4.5, 1, 8.48, 0, 0.0025835, -2.2841e-04, -0.86286,  779.91, 760, 0, 0.1,  1.8770e-04, -0.00138,  1.3496e+00,  8.0278e-01, 130.53, 249.34, 0.059, 0.   , 225, 300, 0.524, 0.625, 0.524, 0.321),            ( 6.5  , -2.3686 , -2.2785 , -2.5322  , -2.477  , 2.215  , -0.039505,  0.97643  , 6.2 , -1.2299, 0.11231 ,  0.000e+00, 4.5, 1, 8.9 , 0, 0.0025862, -3.6400e-05, -0.83355,  775.6 , 760, 0, 0.1,  1.5945e-04, -0.00137,  1.3489e+00,  8.1480e-01, 130.63, 252.94, 0.059, 0.   , 225, 300, 0.52 , 0.634, 0.517, 0.312),            ( 7.   , -2.4827 , -2.3881 , -2.6818  , -2.5854 , 2.172  , -0.05914 ,  0.99757  , 6.2 , -1.2408, 0.11853 ,  0.000e+00, 4.5, 1, 9.2 , 0, 0.0026026,  1.6835e-04, -0.80457,  772.68, 760, 0, 0.1,  5.5920e-05, -0.00137,  1.3422e+00,  8.1615e-01, 130.7 , 253.12, 0.059, 0.   , 225, 300, 0.515, 0.636, 0.514, 0.302),            ( 7.5  , -2.5865 , -2.4874 , -2.8176  , -2.6854 , 2.1187 , -0.081606,  1.0121   , 6.2 , -1.2543, 0.12507 ,  0.000e+00, 4.5, 1, 9.48, 0, 0.0026   ,  3.8493e-04, -0.77665,  771.01, 760, 0, 0.1, -5.4600e-05, -0.00137,  1.3288e+00,  8.0900e-01, 130.72, 250.39, 0.058, 0.   , 225, 300, 0.512, 0.634, 0.511, 0.27 ),            ( 8.   , -2.6861 , -2.5829 , -2.9438  , -2.7823 , 2.0613 , -0.10382 ,  1.0232   , 6.2 , -1.2688, 0.13146 ,  0.000e+00, 4.5, 1, 9.57, 0, 0.00263  ,  7.2000e-04, -0.75033,  760.81, 760, 0, 0.1, -1.1724e-04, -0.00137,  1.3084e+00,  7.9538e-01, 130.87, 245.23, 0.059, 0.   , 225, 300, 0.51 , 0.63 , 0.507, 0.278),            ( 8.5  , -2.782  , -2.6752 , -3.0597  , -2.8776 , 2.0084 , -0.12114 ,  1.0335   , 6.2 , -1.2839, 0.13742 ,  0.000e+00, 4.5, 1, 9.62, 0, 0.00267  ,  9.4000e-04, -0.72544,  764.5 , 760, 0, 0.1, -1.3084e-04, -0.00137,  1.2822e+00,  7.7671e-01, 130.71, 238.13, 0.059, 0.   , 225, 300, 0.509, 0.622, 0.503, 0.265),            ( 9.   , -2.8792 , -2.7687 , -3.1713  , -2.9759 , 1.9605 , -0.13407 ,  1.0453   , 6.2 , -1.2989, 0.14294 ,  0.000e+00, 4.5, 1, 9.66, 0, 0.00276  ,  1.1300e-03, -0.70161,  768.07, 760, 0, 0.1, -1.0766e-04, -0.00137,  1.2515e+00,  7.5425e-01, 130.5 , 229.56, 0.06 , 0.   , 225, 300, 0.509, 0.613, 0.498, 0.252),            ( 9.5  , -2.9769 , -2.8634 , -3.2785  , -3.076  , 1.9189 , -0.14364 ,  1.0567   , 6.2 , -1.313 , 0.14781 ,  0.000e+00, 4.5, 1, 9.66, 0, 0.00289  ,  1.3100e-03, -0.6785 ,  771.55, 760, 0, 0.1, -5.9962e-05, -0.00136,  1.2179e+00,  7.2925e-01, 130.26, 220.02, 0.06 , 0.   , 225, 300, 0.509, 0.604, 0.492, 0.239),            (10.   , -3.0702 , -2.9537 , -3.3776  , -3.1726 , 1.8837 , -0.15096 ,  1.0651   , 6.2 , -1.3253, 0.15183 ,  0.000e+00, 4.5, 1, 9.66, 0, 0.00303  ,  1.4900e-03, -0.65575,  775.  , 760, 0, 0.1,  0.0000e+00, -0.00136,  1.1829e+00,  7.0300e-01, 130.  , 210.  , 0.06 , 0.   , 225, 300, 0.51 , 0.604, 0.487, 0.239)],           dtype=[('period', '<f8'), ('e_0', '<f8'), ('e_1', '<f8'), ('e_2', '<f8'), ('e_3', '<f8'), ('e_4', '<f8'), ('e_5', '<f8'), ('e_6', '<f8'), ('M_h', '<f8'), ('c_1', '<f8'), ('c_2', '<f8'), ('c_3', '<f8'), ('M_ref', '<f8'), ('R_ref', '<i8'), ('h', '<f8'), ('dc_3global', '<i8'), ('dc_3ct', '<f8'), ('dc_3ij', '<f8'), ('c', '<f8'), ('V_c', '<f8'), ('V_ref', '<i8'), ('f_1', '<i8'), ('f_3', '<f8'), ('f_4', '<f8'), ('f_5', '<f8'), ('f_6', '<f8'), ('f_7', '<f8'), ('R_1', '<f8'), ('R_2', '<f8'), ('dphi_R', '<f8'), ('dphi_V', '<f8'), ('V_1', '<i8'), ('V_2', '<i8'), ('phi_1', '<f8'), ('phi_2', '<f8'), ('tau_1', '<f8'), ('tau_2', '<f8')])

PERIODS = array([-1.   ,  0.   ,  0.01 ,  0.02 ,  0.022,  0.025,  0.029,  0.03 ,         0.032,  0.035,  0.036,  0.04 ,  0.042,  0.044,  0.045,  0.046,         0.048,  0.05 ,  0.055,  0.06 ,  0.065,  0.067,  0.07 ,  0.075,         0.08 ,  0.085,  0.09 ,  0.095,  0.1  ,  0.11 ,  0.12 ,  0.13 ,         0.133,  0.14 ,  0.15 ,  0.16 ,  0.17 ,  0.18 ,  0.19 ,  0.2  ,         0.22 ,  0.24 ,  0.25 ,  0.26 ,  0.28 ,  0.29 ,  0.3  ,  0.32 ,         0.34 ,  0.35 ,  0.36 ,  0.38 ,  0.4  ,  0.42 ,  0.44 ,  0.45 ,         0.46 ,  0.48 ,  0.5  ,  0.55 ,  0.6  ,  0.65 ,  0.667,  0.7  ,         0.75 ,  0.8  ,  0.85 ,  0.9  ,  0.95 ,  1.   ,  1.1  ,  1.2  ,         1.3  ,  1.4  ,  1.5  ,  1.6  ,  1.7  ,  1.8  ,  1.9  ,  2.   ,         2.2  ,  2.4  ,  2.5  ,  2.6  ,  2.8  ,  3.   ,  3.2  ,  3.4  ,         3.5  ,  3.6  ,  3.8  ,  4.   ,  4.2  ,  4.4  ,  4.6  ,  4.8  ,         5.   ,  5.5  ,  6.   ,  6.5  ,  7.   ,  7.5  ,  8.   ,  8.5  ,         9.   ,  9.5  , 10.   ])

Indices of the periods

INDEX_PGV = 0

Index of the peak ground velocity

INDEX_PGA = 1

Index of the peak ground acceleration

INDICES_PSA = array([  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])

Indices for the spectral accelerations

LIMITS = {'dist_jb': (0.0, 300.0), 'mag': (3.0, 8.5), 'v_s30': (150.0, 1500.0)}

Limits of model applicability

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

classmethod calc_site_term(pga_ref: float, v_s30: float, depth_1_0: Optional[float], region: str = 'california') → Union[List[float], ndarray]

Calculate the site term, which includes site and basin effects.

Parameters

• pga_ref (float) – peak ground acceleration (g) at the reference condition. If np.nan, then no site term is applied.

• v_s30 (float) – site condition. Set v_s30 to the reference velocity (e.g., 1180 m/s) for the reference response.

• depth_1_0 (float) – depth to the 1.0 km∕s shear-wave velocity horizon beneath the site, \(Z_{1.0}\) in (km).

• region (str, optional) – region of basin model. Valid options: ‘california’, ‘japan’. If None, then ‘california’ is used as the default value.

Returns

site_term – site term that is applied to the natural log response.

Return type

np.ndarray

class pygmm.Campbell2003(scenario: Scenario)

Bases: GroundMotionModel

Campbell (2003, []) model.

This model was developed for the Eastern US.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Campbell (2003)'

Long name of the model

ABBREV = 'C03'

Short name of the model

V_REF = 2800.0

COEFF = rec.array([(0.01 ,  0.0305, 0.633, -0.0427, -1.591, -0.00428, 4.83e-04, 0.683, 0.416, 1.14 , -0.873, 1.03 , -0.086 , 0.414),            (0.02 ,  1.3535, 0.63 , -0.0404, -1.787, -0.00388, 4.97e-04, 1.02 , 0.363, 0.851, -0.715, 1.03 , -0.086 , 0.414),            (0.03 ,  1.186 , 0.622, -0.0362, -1.691, -0.00367, 5.01e-04, 0.922, 0.376, 0.759, -0.922, 1.03 , -0.086 , 0.414),            (0.05 ,  0.3736, 0.616, -0.0353, -1.469, -0.00378, 5.00e-04, 0.63 , 0.423, 0.771, -1.239, 1.042, -0.0838, 0.443),            (0.075, -0.0395, 0.615, -0.0353, -1.383, -0.00421, 4.86e-04, 0.491, 0.463, 0.955, -1.349, 1.052, -0.0838, 0.453),            (0.1  , -0.1475, 0.613, -0.0353, -1.369, -0.00454, 4.60e-04, 0.484, 0.467, 1.096, -1.284, 1.059, -0.0838, 0.46 ),            (0.15 , -0.1901, 0.616, -0.0478, -1.368, -0.00473, 3.93e-04, 0.461, 0.478, 1.239, -1.079, 1.068, -0.0838, 0.469),            (0.2  , -0.4328, 0.617, -0.0586, -1.32 , -0.0046 , 3.37e-04, 0.399, 0.493, 1.25 , -0.928, 1.077, -0.0838, 0.478),            (0.3  , -0.6906, 0.609, -0.0786, -1.28 , -0.00414, 2.63e-04, 0.349, 0.502, 1.241, -0.753, 1.081, -0.0838, 0.482),            (0.5  , -0.5907, 0.534, -0.1379, -1.216, -0.00341, 1.94e-04, 0.318, 0.503, 1.166, -0.606, 1.098, -0.0824, 0.508),            (0.75 , -0.5429, 0.48 , -0.1806, -1.184, -0.00288, 1.60e-04, 0.304, 0.504, 1.11 , -0.526, 1.105, -0.0806, 0.528),            (1.   , -0.6104, 0.451, -0.209 , -1.158, -0.00255, 1.41e-04, 0.299, 0.503, 1.067, -0.482, 1.11 , -0.0793, 0.543),            (1.5  , -0.9666, 0.441, -0.2405, -1.135, -0.00213, 1.19e-04, 0.304, 0.5  , 1.029, -0.438, 1.099, -0.0771, 0.547),            (2.   , -1.4306, 0.459, -0.2552, -1.124, -0.00187, 1.03e-04, 0.31 , 0.499, 1.015, -0.417, 1.093, -0.0758, 0.551),            (3.   , -2.2331, 0.492, -0.2646, -1.121, -0.00154, 8.40e-05, 0.31 , 0.499, 1.014, -0.393, 1.09 , -0.0737, 0.562),            (4.   , -2.7975, 0.507, -0.2738, -1.119, -0.00135, 7.40e-05, 0.294, 0.506, 1.018, -0.386, 1.092, -0.0722, 0.575)],           dtype=[('period', '<f8'), ('c_1', '<f8'), ('c_2', '<f8'), ('c_3', '<f8'), ('c_4', '<f8'), ('c_5', '<f8'), ('c_6', '<f8'), ('c_7', '<f8'), ('c_8', '<f8'), ('c_9', '<f8'), ('c_10', '<f8'), ('c_11', '<f8'), ('c_12', '<f8'), ('c_13', '<f8')])

PERIODS = array([0.01 , 0.02 , 0.03 , 0.05 , 0.075, 0.1  , 0.15 , 0.2  , 0.3  ,        0.5  , 0.75 , 1.   , 1.5  , 2.   , 3.   , 4.   ])

Indices of the periods

INDICES_PSA = array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15])

Indices for the spectral accelerations

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>]

Model parameters

class pygmm.CampbellBozorgnia2014(scenario: Scenario)

Bases: GroundMotionModel

Campbell and Bozorgnia (2014, []) model.

This model was developed for active tectonic regions as part of the NGA-West2 effort.

NAME = 'Campbell & Bozorgnia (2014)'

Long name of the model

ABBREV = 'CB14'

Short name of the model

V_REF = 1100.0

COEFF = rec.array([( 0.01 ,  -4.365, 0.977,  0.533, -1.485, -0.499, -2.773, 0.248, 6.753, 0, -0.214, 0.72 ,  1.094,  2.191, 1.416, -0.007 , -0.207, 0.39 ,  0.0981, 0.0334, 0.00755,  865, -1.186, 1.839, 0.168, 0.242, 1.471, -0.714, 1, -0.336, -0.27 , -0.0055, 0, -0.0035, 0.0036, 0.404, 0.325, 0.734, 0.492, 0.3, 0.166, 0.838, 0.854, 0.59 , 0.613, 1.   ),            ( 0.02 ,  -4.348, 0.976,  0.549, -1.488, -0.501, -2.772, 0.247, 6.502, 0, -0.208, 0.73 ,  1.149,  2.189, 1.453, -0.0167, -0.199, 0.387,  0.1009, 0.0327, 0.00759,  865, -1.219, 1.84 , 0.166, 0.244, 1.467, -0.711, 1, -0.339, -0.263, -0.0055, 0, -0.0035, 0.0036, 0.417, 0.326, 0.738, 0.496, 0.3, 0.166, 0.848, 0.864, 0.594, 0.617, 0.998),            ( 0.03 ,  -4.024, 0.931,  0.628, -1.494, -0.517, -2.782, 0.246, 6.291, 0, -0.213, 0.759,  1.29 ,  2.164, 1.476, -0.0422, -0.202, 0.378,  0.1095, 0.0331, 0.0079 ,  908, -1.273, 1.841, 0.167, 0.246, 1.467, -0.713, 1, -0.338, -0.259, -0.0057, 0, -0.0034, 0.0037, 0.446, 0.344, 0.747, 0.503, 0.3, 0.165, 0.87 , 0.886, 0.609, 0.631, 0.986),            ( 0.05 ,  -3.479, 0.887,  0.674, -1.388, -0.615, -2.791, 0.24 , 6.317, 0, -0.244, 0.826,  1.449,  2.138, 1.549, -0.0663, -0.339, 0.295,  0.1226, 0.027 , 0.00803, 1054, -1.346, 1.843, 0.173, 0.251, 1.449, -0.701, 1, -0.338, -0.263, -0.0063, 0, -0.0037, 0.004 , 0.508, 0.377, 0.777, 0.52 , 0.3, 0.162, 0.928, 0.942, 0.642, 0.662, 0.938),            ( 0.075,  -3.293, 0.902,  0.726, -1.469, -0.596, -2.745, 0.227, 6.861, 0, -0.266, 0.815,  1.535,  2.446, 1.772, -0.0794, -0.404, 0.322,  0.1165, 0.0288, 0.00811, 1086, -1.471, 1.845, 0.198, 0.26 , 1.435, -0.695, 1, -0.347, -0.219, -0.007 , 0, -0.0037, 0.0039, 0.504, 0.418, 0.782, 0.535, 0.3, 0.158, 0.93 , 0.943, 0.679, 0.697, 0.887),            ( 0.1  ,  -3.666, 0.993,  0.698, -1.572, -0.536, -2.633, 0.21 , 7.294, 0, -0.229, 0.831,  1.615,  2.969, 1.916, -0.0294, -0.416, 0.384,  0.0998, 0.0325, 0.00744, 1032, -1.624, 1.847, 0.174, 0.259, 1.449, -0.708, 1, -0.391, -0.201, -0.0073, 0, -0.0034, 0.0042, 0.445, 0.426, 0.769, 0.543, 0.3, 0.17 , 0.888, 0.904, 0.69 , 0.711, 0.87 ),            ( 0.15 ,  -4.866, 1.267,  0.51 , -1.669, -0.49 , -2.458, 0.183, 8.031, 0, -0.211, 0.749,  1.877,  3.544, 2.161,  0.0642, -0.407, 0.417,  0.076 , 0.0388, 0.00716,  878, -1.931, 1.852, 0.198, 0.254, 1.461, -0.715, 1, -0.449, -0.099, -0.0069, 0, -0.003 , 0.0042, 0.382, 0.387, 0.769, 0.543, 0.3, 0.18 , 0.859, 0.878, 0.667, 0.691, 0.876),            ( 0.2  ,  -5.411, 1.366,  0.447, -1.75 , -0.451, -2.421, 0.182, 8.385, 0, -0.163, 0.764,  2.069,  3.707, 2.465,  0.0968, -0.311, 0.404,  0.0571, 0.0437, 0.00688,  748, -2.188, 1.856, 0.204, 0.237, 1.484, -0.721, 1, -0.393, -0.198, -0.006 , 0, -0.0031, 0.0041, 0.339, 0.338, 0.761, 0.552, 0.3, 0.186, 0.833, 0.854, 0.647, 0.673, 0.87 ),            ( 0.25 ,  -5.962, 1.458,  0.274, -1.711, -0.404, -2.392, 0.189, 7.534, 0, -0.15 , 0.716,  2.205,  3.343, 2.766,  0.1441, -0.172, 0.466,  0.0437, 0.0463, 0.00556,  654, -2.381, 1.861, 0.185, 0.206, 1.581, -0.787, 1, -0.339, -0.21 , -0.0055, 0, -0.0033, 0.0036, 0.34 , 0.316, 0.744, 0.545, 0.3, 0.191, 0.818, 0.84 , 0.63 , 0.658, 0.85 ),            ( 0.3  ,  -6.403, 1.528,  0.193, -1.77 , -0.321, -2.376, 0.195, 6.99 , 0, -0.131, 0.737,  2.306,  3.334, 3.011,  0.1597, -0.084, 0.528,  0.0323, 0.0508, 0.00458,  587, -2.518, 1.865, 0.164, 0.21 , 1.586, -0.795, 1, -0.447, -0.121, -0.0049, 0, -0.0035, 0.0031, 0.34 , 0.3  , 0.727, 0.568, 0.3, 0.198, 0.803, 0.827, 0.642, 0.672, 0.819),            ( 0.4  ,  -7.566, 1.739, -0.02 , -1.594, -0.426, -2.303, 0.185, 7.012, 0, -0.159, 0.738,  2.398,  3.544, 3.203,  0.141 ,  0.085, 0.54 ,  0.0209, 0.0432, 0.00401,  503, -2.657, 1.874, 0.16 , 0.226, 1.544, -0.77 , 1, -0.525, -0.086, -0.0037, 0, -0.0034, 0.0028, 0.356, 0.264, 0.69 , 0.593, 0.3, 0.206, 0.776, 0.803, 0.649, 0.681, 0.743),            ( 0.5  ,  -8.379, 1.872, -0.121, -1.577, -0.44 , -2.296, 0.186, 6.902, 0, -0.153, 0.718,  2.355,  3.016, 3.333,  0.1474,  0.233, 0.638,  0.0092, 0.0405, 0.00388,  457, -2.669, 1.883, 0.184, 0.217, 1.554, -0.77 , 1, -0.407, -0.281, -0.0027, 0, -0.0034, 0.0025, 0.379, 0.263, 0.663, 0.611, 0.3, 0.208, 0.764, 0.792, 0.665, 0.697, 0.684),            ( 0.75 ,  -9.841, 2.021, -0.042, -1.757, -0.443, -2.232, 0.186, 5.522, 0, -0.09 , 0.795,  1.995,  2.616, 3.054,  0.1764,  0.411, 0.776, -0.0082, 0.042 , 0.0042 ,  410, -2.401, 1.906, 0.216, 0.154, 1.626, -0.78 , 1, -0.371, -0.285, -0.0016, 0, -0.0032, 0.0016, 0.43 , 0.326, 0.606, 0.633, 0.3, 0.221, 0.743, 0.775, 0.712, 0.746, 0.562),            ( 1.   , -11.011, 2.18 , -0.069, -1.707, -0.527, -2.158, 0.169, 5.65 , 0, -0.105, 0.556,  1.447,  2.47 , 2.562,  0.2593,  0.479, 0.771, -0.0131, 0.0426, 0.00409,  400, -1.955, 1.929, 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756, -0.0006, 0, -0.003 , 0.0006, 0.47 , 0.353, 0.579, 0.628, 0.3, 0.225, 0.746, 0.779, 0.72 , 0.754, 0.467),            ( 1.5  , -12.469, 2.27 ,  0.047, -1.621, -0.63 , -2.063, 0.158, 5.795, 0, -0.058, 0.48 ,  0.33 ,  2.108, 1.453,  0.2881,  0.566, 0.748, -0.0187, 0.038 , 0.00424,  400, -1.025, 1.974, 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756,  0.    , 0, -0.0019, 0.    , 0.497, 0.399, 0.541, 0.603, 0.3, 0.222, 0.735, 0.768, 0.723, 0.756, 0.364),            ( 2.   , -12.969, 2.271,  0.149, -1.512, -0.768, -2.104, 0.158, 6.632, 0, -0.028, 0.401, -0.514,  1.327, 0.657,  0.3112,  0.562, 0.763, -0.0258, 0.0252, 0.00448,  400, -0.299, 2.019, 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756,  0.    , 0, -0.0005, 0.    , 0.499, 0.4  , 0.529, 0.588, 0.3, 0.226, 0.727, 0.761, 0.711, 0.746, 0.298),            ( 3.   , -13.306, 2.15 ,  0.368, -1.315, -0.89 , -2.051, 0.148, 6.759, 0,  0.   , 0.206, -0.848,  0.601, 0.367,  0.3478,  0.534, 0.686, -0.0311, 0.0236, 0.00345,  400,  0.   , 2.11 , 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756,  0.    , 0,  0.    , 0.    , 0.5  , 0.417, 0.527, 0.578, 0.3, 0.229, 0.726, 0.761, 0.713, 0.749, 0.234),            ( 4.   , -14.02 , 2.132,  0.726, -1.506, -0.885, -1.986, 0.135, 7.978, 0,  0.   , 0.105, -0.793,  0.568, 0.306,  0.3747,  0.522, 0.691, -0.0413, 0.0102, 0.00603,  400,  0.   , 2.2  , 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756,  0.    , 0,  0.    , 0.    , 0.543, 0.393, 0.521, 0.559, 0.3, 0.237, 0.753, 0.789, 0.683, 0.723, 0.202),            ( 5.   , -14.558, 2.116,  1.027, -1.721, -0.878, -2.021, 0.135, 8.538, 0,  0.   , 0.   , -0.748,  0.356, 0.268,  0.3382,  0.477, 0.67 , -0.0281, 0.0034, 0.00805,  400,  0.   , 2.291, 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756,  0.    , 0,  0.    , 0.    , 0.534, 0.421, 0.502, 0.551, 0.3, 0.237, 0.733, 0.77 , 0.693, 0.732, 0.184),            ( 7.5  , -15.509, 2.223,  0.169, -0.756, -1.077, -2.179, 0.165, 8.468, 0,  0.   , 0.   , -0.664,  0.075, 0.374,  0.3754,  0.321, 0.757, -0.0205, 0.005 , 0.0028 ,  400,  0.   , 2.517, 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756,  0.    , 0,  0.    , 0.    , 0.523, 0.438, 0.457, 0.546, 0.3, 0.271, 0.695, 0.746, 0.7  , 0.751, 0.176),            (10.   , -15.975, 2.132,  0.367, -0.8  , -1.282, -2.244, 0.18 , 6.564, 0,  0.   , 0.   , -0.576, -0.027, 0.297,  0.3506,  0.174, 0.621,  0.0009, 0.0099, 0.00458,  400,  0.   , 2.744, 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756,  0.    , 0,  0.    , 0.    , 0.466, 0.438, 0.441, 0.543, 0.3, 0.29 , 0.642, 0.704, 0.698, 0.756, 0.154),            ( 0.   ,  -4.416, 0.984,  0.537, -1.499, -0.496, -2.773, 0.248, 6.768, 0, -0.212, 0.72 ,  1.09 ,  2.186, 1.42 , -0.0064, -0.202, 0.393,  0.0977, 0.0333, 0.00757,  865, -1.186, 1.839, 0.167, 0.241, 1.474, -0.715, 1, -0.337, -0.27 , -0.0055, 0, -0.0035, 0.0036, 0.409, 0.322, 0.734, 0.492, 0.3, 0.166, 0.84 , 0.856, 0.588, 0.611, 1.   ),            (-1.   ,  -2.895, 1.51 ,  0.27 , -1.299, -0.453, -2.466, 0.204, 5.837, 0, -0.168, 0.305,  1.713,  2.602, 2.457,  0.106 ,  0.332, 0.585,  0.0517, 0.0327, 0.00613,  400, -1.955, 1.929, 0.596, 0.117, 1.616, -0.733, 1, -0.128, -0.756, -0.0017, 0, -0.0006, 0.0017, 0.317, 0.297, 0.655, 0.494, 0.3, 0.19 , 0.728, 0.752, 0.576, 0.607, 0.684)],           dtype=[('period', '<f8'), ('c_0', '<f8'), ('c_1', '<f8'), ('c_2', '<f8'), ('c_3', '<f8'), ('c_4', '<f8'), ('c_5', '<f8'), ('c_6', '<f8'), ('c_7', '<f8'), ('c_8', '<i8'), ('c_9', '<f8'), ('c_10', '<f8'), ('c_11', '<f8'), ('c_12', '<f8'), ('c_13', '<f8'), ('c_14', '<f8'), ('c_15', '<f8'), ('c_16', '<f8'), ('c_17', '<f8'), ('c_18', '<f8'), ('c_19', '<f8'), ('k_1', '<i8'), ('k_2', '<f8'), ('k_3', '<f8'), ('a_2', '<f8'), ('h_1', '<f8'), ('h_2', '<f8'), ('h_3', '<f8'), ('h_4', '<i8'), ('h_5', '<f8'), ('h_6', '<f8'), ('c_20', '<f8'), ('dc_20ca', '<i8'), ('dc_20jp', '<f8'), ('dc_20ch', '<f8'), ('tau_1', '<f8'), ('tau_2', '<f8'), ('phi_1', '<f8'), ('phi_2', '<f8'), ('phi_lnAF', '<f8'), ('phi_c', '<f8'), ('sigma_s', '<f8'), ('sigma_arbs', '<f8'), ('sigma_l', '<f8'), ('sigma_arbl', '<f8'), ('rho_lnPGAlnY', '<f8')])

PERIODS = array([ 0.01 ,  0.02 ,  0.03 ,  0.05 ,  0.075,  0.1  ,  0.15 ,  0.2  ,         0.25 ,  0.3  ,  0.4  ,  0.5  ,  0.75 ,  1.   ,  1.5  ,  2.   ,         3.   ,  4.   ,  5.   ,  7.5  , 10.   ,  0.   , -1.   ])

Indices of the periods

COEFF_C = 1.88

COEFF_N = 1.18

COEEF_H_4 = 1

INDICES_PSA = array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,        17, 18, 19, 20])

Indices for the spectral accelerations

INDEX_PGA = -2

Index of the peak ground acceleration

INDEX_PGV = -1

Index of the peak ground velocity

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

classmethod calc_site_term(pga_ref: float, v_s30: float, depth_2_5: float, region: str = 'california') → Union[List[float], ndarray]

Calculate the site term, which includes site and basin effects.

Parameters

• resp_ref (array_like, optional) – response at the reference condition

• v_s30 (float) – site condition. Set v_s30 to the reference velocity (e.g., 1180 m/s) for the reference response.

• depth_2_5 (float) – depth to the 2.5 km∕s shear-wave velocity horizon beneath the site, \(Z_{2.5}\) in (km).

• region (str, optional) – region of basin model. Valid options: “global”, “california”, “japan”, “italy”, “china”. If None, then “global” is used as the default value.

Returns

site_term – site term that is applied to the natural log response.

Return type

np.ndarray

static calc_depth_2_5(v_s30: float, region: str = 'global', depth_1_0: Optional[float] = None) → float

Calculate the depth to a shear-wave velocity of 2.5 km/sec (\(Z_{2.5}\)).

Provide either v_s30 or depth_1_0.

Parameters

• v_s30 (Optional[float]) – time-averaged shear-wave velocity over the top 30 m of the site (\(V_{s30}\), m/s). Keyword Args:

• region (Optional[str]) – region of the basin model. Valid values: “california”, “japan”. (Default value = ‘global’)

• depth_1_0 (Optional[float]) – depth to the 1.0 km∕s shear-wave velocity horizon beneath the site, \(Z_{1.0}\) in (km). (Default value = None)

Returns

• float – estimated depth to a shear-wave velocity of 2.5 km/sec

• float – estimated depth to a shear-wave velocity of 2.5 km/sec (km).

static calc_depth_hyp(mag: float, dip: float, depth_tor: float, depth_bor: float) → float

Estimate the depth to hypocenter.

Parameters

• mag (float) – moment magnitude of the event (\(M_w\))

• dip (float) – fault dip angle (\(\phi\), deg).

• depth_tor (float) – depth to the top of the rupture plane (\(Z_{tor}\), km).

• depth_bor (float) – depth to the bottom of the rupture plane (\(Z_{bor}\), km).

Returns

estimated hypocenter depth (km)

Return type

float

static calc_width(mag: float, dip: float, depth_tor: float, depth_bot: float = 15.0) → float

Estimate the fault width using Equation (39) of CB14.

Parameters

• mag (float) – moment magnitude of the event (\(M_w\))

• dip (float) – fault dip angle (\(\phi\), deg).

• depth_tor (float) – depth to the top of the rupture plane (\(Z_{tor}\), km). Keyword Args:

• depth_bot (Optional[float]) – depth to bottom of seismogenic crust (km). Used to calculate fault width if none is specified. If None, then a value of 15 km is used. (Default value = 15.0)

Returns

estimated fault width (km)

Return type

float

static calc_depth_bor(depth_tor: float, dip: float, width: float) → float

Compute the depth to bottom of the rupture (km).

Parameters

• dip (float) – fault dip angle (\(\phi\), deg).

• depth_tor (float) – depth to the top of the rupture plane (\(Z_{tor}\), km).

• width (float) – Down-dip width of the fault.

Returns

depth to bottom of the fault rupture (km)

Return type

float

class pygmm.ChiouYoungs2014(scenario: Scenario)

Bases: GroundMotionModel

Chiou and Youngs (2014, []) model.

This model was developed for active tectonic regions as part of the NGA-West2 effort.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Chiou and Youngs (2014)'

Long name of the model

ABBREV = 'CY14'

Short name of the model

V_REF = 1130.0

COEFF = rec.array([( 0.01 , -1.5065, 0.165 , -0.255 , -0.165 , 0.255 , 1.06, 1.9636, -2.1, -0.5, 6.4551, 0.4908, 0.0352,  0.0462, 0.    , 0.2695, 0.4833, 0.9228, 0.1202, 6.8607, 0., -0.4536, 3.0956, 4.9993, 16.0875, 50, -0.007146, -0.006758, 4.2542, 1.5817, 0.7594, -0.521 , -0.6846, -0.1417, -0.00701 , 1.02151e-01, 0.    , 0.459 , 300, 800, 0.4   , 0.26  , 0.4912, 0.3762, 0.4528, 0.8   ),            ( 0.02 , -1.4798, 0.165 , -0.255 , -0.165 , 0.255 , 1.06, 1.9636, -2.1, -0.5, 6.4551, 0.4925, 0.0352,  0.0472, 0.    , 0.2695, 1.2144, 0.9296, 0.1217, 6.8697, 0., -0.4536, 3.0963, 4.9993, 15.7118, 50, -0.007249, -0.006758, 4.2386, 1.574 , 0.7606, -0.5055, -0.6681, -0.1364, -0.007279, 1.08360e-01, 0.    , 0.458 , 300, 800, 0.4026, 0.2637, 0.4904, 0.3762, 0.4551, 0.8   ),            ( 0.03 , -1.2972, 0.165 , -0.255 , -0.165 , 0.255 , 1.06, 1.9636, -2.1, -0.5, 6.4551, 0.4992, 0.0352,  0.0533, 0.    , 0.2695, 1.6421, 0.9396, 0.1194, 6.9113, 0., -0.4536, 3.0974, 4.9993, 15.8819, 50, -0.007869, -0.006758, 4.2519, 1.5544, 0.7642, -0.4368, -0.6314, -0.1403, -0.007354, 1.19888e-01, 0.    , 0.462 , 300, 800, 0.4063, 0.2689, 0.4988, 0.3849, 0.4571, 0.8   ),            ( 0.04 , -1.1007, 0.165 , -0.255 , -0.165 , 0.255 , 1.06, 1.9636, -2.1, -0.5, 6.4551, 0.5037, 0.0352,  0.0596, 0.    , 0.2695, 1.9456, 0.9661, 0.1166, 7.0271, 0., -0.4536, 3.0988, 4.9993, 16.4556, 50, -0.008316, -0.006758, 4.296 , 1.5502, 0.7676, -0.3752, -0.5855, -0.1591, -0.006977, 1.33641e-01, 0.    , 0.453 , 300, 800, 0.4095, 0.2736, 0.5049, 0.391 , 0.4642, 0.8   ),            ( 0.05 , -0.9292, 0.165 , -0.255 , -0.165 , 0.255 , 1.06, 1.9636, -2.1, -0.5, 6.4551, 0.5048, 0.0352,  0.0639, 0.    , 0.2695, 2.181 , 0.9794, 0.1176, 7.0959, 0., -0.4536, 3.1011, 4.9993, 17.6453, 50, -0.008743, -0.006758, 4.3578, 1.5391, 0.7739, -0.3469, -0.5457, -0.1862, -0.006467, 1.48927e-01, 0.    , 0.436 , 300, 800, 0.4124, 0.2777, 0.5096, 0.3957, 0.4716, 0.8   ),            ( 0.075, -0.658 , 0.165 , -0.254 , -0.165 , 0.254 , 1.06, 1.9636, -2.1, -0.5, 6.4551, 0.5048, 0.0352,  0.063 , 0.    , 0.2695, 2.6087, 1.026 , 0.1171, 7.3298, 0., -0.4536, 3.1094, 5.0031, 20.1772, 50, -0.009537, -0.00619 , 4.5455, 1.4804, 0.7956, -0.3747, -0.4685, -0.2538, -0.005734, 1.90596e-01, 0.    , 0.383 , 300, 800, 0.4179, 0.2855, 0.5179, 0.4043, 0.5022, 0.8   ),            ( 0.1  , -0.5613, 0.165 , -0.253 , -0.165 , 0.253 , 1.06, 1.9636, -2.1, -0.5, 6.8305, 0.5048, 0.0352,  0.0532, 0.    , 0.2695, 2.9122, 1.0177, 0.1146, 7.2588, 0., -0.4536, 3.2381, 5.0172, 19.9992, 50, -0.00983 , -0.005332, 4.7603, 1.4094, 0.7932, -0.444 , -0.4985, -0.2943, -0.005604, 2.30662e-01, 0.    , 0.375 , 300, 800, 0.4219, 0.2913, 0.5236, 0.4104, 0.523 , 0.8   ),            ( 0.12 , -0.5342, 0.165 , -0.252 , -0.165 , 0.252 , 1.06, 1.9795, -2.1, -0.5, 7.1333, 0.5048, 0.0352,  0.0452, 0.    , 0.2695, 3.1045, 1.0008, 0.1128, 7.2372, 0., -0.4536, 3.3407, 5.0315, 18.7106, 50, -0.009913, -0.004732, 4.8963, 1.3682, 0.7768, -0.4895, -0.5603, -0.3077, -0.005696, 2.53169e-01, 0.    , 0.377 , 300, 800, 0.4244, 0.2949, 0.527 , 0.4143, 0.5278, 0.8   ),            ( 0.15 , -0.5462, 0.165 , -0.25  , -0.165 , 0.25  , 1.06, 2.0362, -2.1, -0.5, 7.3621, 0.5045, 0.0352,  0.0345, 0.    , 0.2695, 3.3399, 0.9801, 0.1106, 7.2109, 0., -0.4536, 3.43  , 5.0547, 16.6246, 50, -0.009896, -0.003806, 5.0644, 1.3241, 0.7437, -0.5477, -0.6451, -0.3113, -0.005845, 2.66468e-01, 0.    , 0.379 , 300, 800, 0.4275, 0.2993, 0.5308, 0.4191, 0.5304, 0.8   ),            ( 0.17 , -0.5858, 0.165 , -0.248 , -0.165 , 0.248 , 1.06, 2.0823, -2.1, -0.5, 7.4365, 0.5036, 0.0352,  0.0283, 0.    , 0.2695, 3.4719, 0.9652, 0.115 , 7.2491, 0., -0.4536, 3.4688, 5.0704, 15.3709, 50, -0.009787, -0.00328 , 5.1371, 1.3071, 0.7219, -0.5922, -0.6981, -0.3062, -0.005959, 2.65060e-01, 0.    , 0.38  , 300, 800, 0.4292, 0.3017, 0.5328, 0.4217, 0.531 , 0.8   ),            ( 0.2  , -0.6798, 0.165 , -0.2449, -0.165 , 0.2449, 1.06, 2.1521, -2.1, -0.5, 7.4972, 0.5016, 0.0352,  0.0202, 0.    , 0.2695, 3.6434, 0.9459, 0.1208, 7.2988, 0., -0.444 , 3.5146, 5.0939, 13.7012, 50, -0.009505, -0.00269 , 5.188 , 1.2931, 0.6922, -0.6693, -0.7653, -0.2927, -0.006141, 2.55253e-01, 0.    , 0.384 , 300, 800, 0.4313, 0.3047, 0.5351, 0.4252, 0.5312, 0.8   ),            ( 0.25 , -0.8663, 0.165 , -0.2382, -0.165 , 0.2382, 1.06, 2.2574, -2.1, -0.5, 7.5416, 0.4971, 0.0352,  0.009 , 0.    , 0.2695, 3.8787, 0.9196, 0.1208, 7.3691, 0., -0.3539, 3.5746, 5.1315, 11.2667, 50, -0.008918, -0.002128, 5.2164, 1.315 , 0.6579, -0.7766, -0.8469, -0.2662, -0.006439, 2.31541e-01, 0.    , 0.393 , 300, 800, 0.4341, 0.3087, 0.5377, 0.4299, 0.5309, 0.7999),            ( 0.3  , -1.0514, 0.165 , -0.2313, -0.165 , 0.2313, 1.06, 2.344 , -2.1, -0.5, 7.56  , 0.4919, 0.0352, -0.0004, 0.    , 0.2695, 4.0711, 0.8829, 0.1175, 6.8789, 0., -0.2688, 3.6232, 5.167 ,  9.1908, 50, -0.008251, -0.001812, 5.1954, 1.3514, 0.6362, -0.8501, -0.8999, -0.2405, -0.006704, 2.07277e-01, 0.001 , 0.408 , 300, 800, 0.4363, 0.3119, 0.5395, 0.4338, 0.5307, 0.7997),            ( 0.4  , -1.3794, 0.165 , -0.2146, -0.165 , 0.2146, 1.06, 2.4709, -2.1, -0.5, 7.5735, 0.4807, 0.0352, -0.0155, 0.    , 0.2695, 4.3745, 0.8302, 0.106 , 6.5334, 0., -0.1793, 3.6945, 5.2317,  6.5459, 50, -0.007267, -0.001274, 5.0899, 1.4051, 0.6049, -0.9431, -0.9618, -0.1975, -0.007125, 1.65464e-01, 0.004 , 0.462 , 300, 800, 0.4396, 0.3165, 0.5422, 0.4399, 0.531 , 0.7988),            ( 0.5  , -1.6508, 0.165 , -0.1972, -0.165 , 0.1972, 1.06, 2.5567, -2.1, -0.5, 7.5778, 0.4707, 0.0352, -0.0278, 0.0991, 0.2695, 4.6099, 0.7884, 0.1061, 6.526 , 0., -0.1428, 3.7401, 5.2893,  5.2305, 50, -0.006492, -0.001074, 4.7854, 1.4402, 0.5507, -1.0044, -0.9945, -0.1633, -0.007435, 1.33828e-01, 0.01  , 0.524 , 300, 800, 0.4419, 0.3199, 0.5433, 0.4446, 0.5313, 0.7966),            ( 0.75 , -2.1511, 0.165 , -0.162 , -0.165 , 0.162 , 1.06, 2.6812, -2.1, -0.5, 7.5808, 0.4575, 0.0352, -0.0477, 0.1982, 0.2695, 5.0376, 0.6754, 0.1   , 6.5   , 0., -0.1138, 3.7941, 5.4109,  3.7896, 50, -0.005147, -0.001115, 4.3304, 1.528 , 0.3582, -1.0602, -1.0225, -0.1028, -0.00812 , 8.51530e-02, 0.034 , 0.658 , 300, 800, 0.4459, 0.3255, 0.5294, 0.4533, 0.5309, 0.7792),            ( 1.   , -2.5365, 0.165 , -0.14  , -0.165 , 0.14  , 1.06, 2.7474, -2.1, -0.5, 7.5814, 0.4522, 0.0352, -0.0559, 0.2154, 0.2695, 5.3411, 0.6196, 0.1   , 6.5   , 0., -0.1062, 3.8144, 5.5106,  3.3024, 50, -0.004277, -0.001197, 4.1667, 1.6523, 0.2003, -1.0941, -1.0002, -0.0699, -0.008444, 5.85950e-02, 0.067 , 0.78  , 300, 800, 0.4484, 0.3291, 0.5105, 0.4594, 0.5302, 0.7504),            ( 1.5  , -3.0686, 0.165 , -0.1184, -0.165 , 0.1184, 1.06, 2.8161, -2.1, -0.5, 7.5817, 0.4501, 0.0352, -0.063 , 0.2154, 0.2695, 5.7688, 0.5101, 0.1   , 6.5   , 0., -0.102 , 3.8284, 5.6705,  2.8498, 50, -0.002979, -0.001675, 4.0029, 1.8872, 0.0356, -1.1142, -0.9245, -0.0425, -0.007707, 3.17870e-02, 0.143 , 0.96  , 300, 800, 0.4515, 0.3335, 0.4783, 0.468 , 0.5276, 0.7136),            ( 2.   , -3.4148, 0.1645, -0.11  , -0.1645, 0.11  , 1.06, 2.8514, -2.1, -0.5, 7.5818, 0.45  , 0.0352, -0.0665, 0.2154, 0.2695, 6.0723, 0.3917, 0.1   , 6.5   , 0., -0.1009, 3.833 , 5.7981,  2.5417, 50, -0.002301, -0.002349, 3.8949, 2.1348, 0.    , -1.1154, -0.8626, -0.0302, -0.004792, 1.97160e-02, 0.203 , 1.11  , 300, 800, 0.4534, 0.3363, 0.4681, 0.4681, 0.5167, 0.7035),            ( 3.   , -3.9013, 0.1168, -0.104 , -0.1168, 0.104 , 1.06, 2.8875, -2.1, -0.5, 7.5818, 0.45  , 0.016 , -0.0516, 0.2154, 0.2695, 6.5   , 0.1244, 0.1   , 6.5   , 0., -0.1003, 3.8361, 5.9983,  2.1488, 50, -0.001344, -0.003306, 3.7928, 3.5752, 0.    , -1.1081, -0.7882, -0.0129, -0.001828, 9.64300e-03, 0.277 , 1.291 , 300, 800, 0.4558, 0.3398, 0.4617, 0.4617, 0.4917, 0.7006),            ( 4.   , -4.2466, 0.0732, -0.102 , -0.0732, 0.102 , 1.06, 2.9058, -2.1, -0.5, 7.5818, 0.45  , 0.0062, -0.0448, 0.2154, 0.2695, 6.8035, 0.0086, 0.1   , 6.5   , 0., -0.1001, 3.8369, 6.1552,  1.8957, 50, -0.001084, -0.003566, 3.7443, 3.8646, 0.    , -1.0603, -0.7195, -0.0016, -0.001523, 5.37900e-03, 0.309 , 1.387 , 300, 800, 0.4574, 0.3419, 0.4571, 0.4571, 0.4682, 0.7001),            ( 5.   , -4.5143, 0.0484, -0.101 , -0.0484, 0.101 , 1.06, 2.9169, -2.1, -0.5, 7.5818, 0.45  , 0.0029, -0.0424, 0.2154, 0.2695, 7.0389, 0.    , 0.1   , 6.5   , 0., -0.1001, 3.8376, 6.2856,  1.7228, 50, -0.00101 , -0.00364 , 3.709 , 3.7292, 0.    , -0.9872, -0.656 ,  0.    , -0.00144 , 3.22300e-03, 0.321 , 1.433 , 300, 800, 0.4584, 0.3435, 0.4535, 0.4535, 0.4517, 0.7   ),            ( 7.5  , -5.0009, 0.022 , -0.101 , -0.022 , 0.101 , 1.06, 2.932 , -2.1, -0.5, 7.5818, 0.45  , 0.0007, -0.0348, 0.2154, 0.2695, 7.4666, 0.    , 0.1   , 6.5   , 0., -0.1   , 3.838 , 6.5428,  1.5737, 50, -0.000964, -0.003686, 3.6632, 2.3763, 0.    , -0.8274, -0.5202,  0.    , -0.001369, 1.13400e-03, 0.329 , 1.46  , 300, 800, 0.4601, 0.3459, 0.4471, 0.4471, 0.4167, 0.7   ),            (10.   , -5.3461, 0.0124, -0.1   , -0.0124, 0.1   , 1.06, 2.9396, -2.1, -0.5, 7.5818, 0.45  , 0.0003, -0.0253, 0.2154, 0.2695, 7.77  , 0.    , 0.1   , 6.5   , 0., -0.1   , 3.838 , 6.7415,  1.5265, 50, -0.00095 , -0.0037  , 3.623 , 1.7679, 0.    , -0.7053, -0.4068,  0.    , -0.001361, 5.15000e-04, 0.33  , 1.464 , 300, 800, 0.4612, 0.3474, 0.4426, 0.4426, 0.3755, 0.7   ),            ( 0.   , -1.5065, 0.165 , -0.255 , -0.165 , 0.255 , 1.06, 1.9636, -2.1, -0.5, 6.4551, 0.4908, 0.0352,  0.0462, 0.    , 0.2695, 0.4833, 0.9228, 0.1202, 6.8607, 0., -0.4536, 3.0956, 4.9993, 16.0875, 50, -0.007146, -0.006758, 4.2542, 1.5817, 0.7594, -0.521 , -0.6846, -0.1417, -0.00701 , 1.02151e-01, 0.    , 0.459 , 300, 800, 0.4   , 0.26  , 0.4912, 0.3762, 0.4528, 0.8   ),            (-1.   ,  2.3549, 0.165 , -0.0626, -0.165 , 0.0626, 1.06, 2.3152, -2.1, -0.5, 5.8096, 0.4407, 0.0324,  0.0097, 0.2154, 0.2695, 5.    , 0.3079, 0.1   , 6.5   , 0., -0.3834, 3.0514, 5.423 ,  3.3024, 50, -0.001852, -0.007403, 4.3439, 2.2306, 0.335 , -0.7936, -0.7966, -0.0699, -0.008444, 5.41000e+00, 0.0202, 0.9488, 300, 800, 0.3894, 0.2578, 0.4785, 0.3629, 0.3918, 0.7504)],           dtype=[('period', '<f8'), ('c_1', '<f8'), ('c_1a', '<f8'), ('c_1b', '<f8'), ('c_1c', '<f8'), ('c_1d', '<f8'), ('c_2', '<f8'), ('c_3', '<f8'), ('c_4', '<f8'), ('c_4a', '<f8'), ('c_5', '<f8'), ('c_6', '<f8'), ('c_7', '<f8'), ('c_7b', '<f8'), ('c_8', '<f8'), ('c_8a', '<f8'), ('c_8b', '<f8'), ('c_9', '<f8'), ('c_9a', '<f8'), ('c_9b', '<f8'), ('c_11', '<f8'), ('c_11b', '<f8'), ('c_hm', '<f8'), ('c_m', '<f8'), ('c_n', '<f8'), ('c_rb', '<i8'), ('c_gamma1', '<f8'), ('c_gamma2', '<f8'), ('c_gamma3', '<f8'), ('gamma_ji', '<f8'), ('gamma_c', '<f8'), ('phi_1', '<f8'), ('phi_1jp', '<f8'), ('phi_2', '<f8'), ('phi_3', '<f8'), ('phi_4', '<f8'), ('phi_5', '<f8'), ('phi_5jp', '<f8'), ('phi_6', '<i8'), ('phi_6jp', '<i8'), ('tau_1', '<f8'), ('tau_2', '<f8'), ('sigma_1', '<f8'), ('sigma_2', '<f8'), ('sigma_2jp', '<f8'), ('sigma_3', '<f8')])

PERIODS = array([ 0.01 ,  0.02 ,  0.03 ,  0.04 ,  0.05 ,  0.075,  0.1  ,  0.12 ,         0.15 ,  0.17 ,  0.2  ,  0.25 ,  0.3  ,  0.4  ,  0.5  ,  0.75 ,         1.   ,  1.5  ,  2.   ,  3.   ,  4.   ,  5.   ,  7.5  , 10.   ,         0.   , -1.   ])

Indices of the periods

INDICES_PSA = array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,        17, 18, 19, 20, 21, 22, 23])

Indices for the spectral accelerations

INDEX_PGA = 24

Index of the peak ground acceleration

INDEX_PGV = 25

Index of the peak ground velocity

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

classmethod calc_site_term(resp_ref: Union[List[float], ndarray], v_s30: float, depth_1_0: float, region: Optional[str]) → Union[List[float], ndarray]

Calculate the site term, which includes site and basin effects.

Parameters

• resp_ref (np.array) – natural logarithm of the response at the reference site condition at each of the periods specified by the model coefficients.

• v_s30 (float) – site condition. Set v_s30 to the reference velocity (e.g., 1180 m/s) for the reference response.

• depth_1_0 (float) – depth to the 1.0 km∕s shear-wave velocity horizon beneath the site, \(Z_{1.0}\) in (km).

• region (str, optional) – region of basin model. Valid options: ‘california’, ‘japan’. If None, then ‘california’ is used as the default value.

Returns

site_term – site term that is applied to the natural log response.

Return type

np.ndarray

static calc_depth_1_0(v_s30: float, region: str) → float

Calculate the depth to 1 km/sec (\(Z_{1.0}\)).

Parameters

• v_s30 (float) – time-averaged shear-wave velocity over the top 30 m of the site (\(V_{s30}\), m/s).

• region (str) – basin region. Valid options: “california”, “japan”

Returns

depth_1_0 – estimated depth to a shear-wave velocity of 1 km/sec (km)

Return type

float

static calc_depth_tor(mag: float, mechanism: str) → float

Calculate an estimate of the depth to top of rupture (km).

Parameters

• mag (float) – moment magnitude of the event (\(M_w\))

• mechanism (str) – fault mechanism. Valid options: “U”, “SS”, “NS”, “RS”.

Returns

depth_tor – estimated depth to top of rupture (km)

Return type

float

class pygmm.CoppersmithBommer2014(scenario, scale_atten=1.0)

Bases: AbrahamsonGregorAddo2016

Coppersmith and Bommer (2014) ground motion model developed as part of the PNNL hazard study for the Hanford site.

This model was developed for subduction regions and is a modified version of the BCHydro model.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Coppersmith and Bommer (2014)'

Long name of the model

ABBREV = 'CB14'

Short name of the model

COEFF = rec.array([( 0.01,  865.1 , -1.186, 1.18, 1.88, 10,  3.8796 , -1.1337 , 0.1, 0.9, 0, -0.00555  , 0.4,  0.98 , -0.0135, -0.2247 , 0.6, 0.43, 0.738),            ( 0.02,  865.1 , -1.186, 1.18, 1.88, 10,  3.8796 , -1.1337 , 0.1, 0.9, 0, -0.00555  , 0.4,  0.98 , -0.0135, -0.2247 , 0.6, 0.43, 0.738),            ( 0.03,  944.57, -1.239, 1.18, 1.88, 10,  4.1522 , -1.1864 , 0.1, 0.9, 0, -0.00555  , 0.4,  1.081, -0.0135, -0.24475, 0.6, 0.43, 0.738),            ( 0.05, 1053.5 , -1.346, 1.18, 1.88, 10,  4.5683 , -1.236  , 0.1, 0.9, 0, -0.00555  , 0.4,  1.288, -0.0138, -0.27108, 0.6, 0.43, 0.738),            ( 0.1 , 1032.5 , -1.624, 1.18, 1.88, 10,  4.9937 , -1.215  , 0.1, 0.9, 0, -0.0064455, 0.4,  1.613, -0.0145, -0.27869, 0.6, 0.43, 0.738),            ( 0.2 ,  748.2 , -2.188, 1.18, 1.88, 10,  5.0182 , -1.1468 , 0.1, 0.9, 0, -0.0066776, 0.4,  2.076, -0.0162, -0.21139, 0.6, 0.43, 0.738),            ( 0.3 ,  587.1 , -2.518, 1.18, 1.88, 10,  4.7475 , -1.091  , 0.1, 0.9, 0, -0.0064   , 0.4,  2.348, -0.0183, -0.13422, 0.6, 0.43, 0.738),            ( 0.5 ,  456.6 , -2.669, 1.18, 1.88, 10,  4.1181 , -1.0061 , 0.1, 0.9, 0, -0.00605  , 0.4,  2.399, -0.0231, -0.04057, 0.6, 0.43, 0.738),            ( 1.  ,  400.  , -1.955, 1.18, 1.88, 10,  2.9005 , -0.86825, 0.1, 0.9, 0, -0.005576 , 0.4,  1.47 , -0.0363, -0.01279, 0.6, 0.43, 0.738),            ( 2.  ,  400.  , -0.299, 1.18, 1.88, 10,  1.5317 , -0.72143, 0.1, 0.9, 0, -0.005102 , 0.4, -0.401, -0.061 , -0.00894, 0.6, 0.43, 0.738),            ( 3.  ,  400.  ,  0.   , 1.18, 1.88, 10,  0.69726, -0.63711, 0.1, 0.9, 0, -0.004824 , 0.4, -0.673, -0.0798, -0.00669, 0.6, 0.43, 0.738),            ( 5.  ,  400.  ,  0.   , 1.18, 1.88, 10, -0.4776 , -0.53089, 0.1, 0.9, 0, -0.004474 , 0.4, -0.596, -0.098 , -0.00385, 0.6, 0.43, 0.738),            ( 7.5 ,  400.  ,  0.   , 1.18, 1.88, 10, -1.5093 , -0.44657, 0.1, 0.9, 0, -0.004196 , 0.4, -0.528, -0.098 , -0.0016 , 0.6, 0.43, 0.738),            (10.  ,  400.  ,  0.   , 1.18, 1.88, 10, -2.2565 , -0.38675, 0.1, 0.9, 0, -0.004    , 0.4, -0.504, -0.098 ,  0.     , 0.6, 0.43, 0.738)],           dtype=[('period', '<f8'), ('v_lin', '<f8'), ('b', '<f8'), ('n', '<f8'), ('c', '<f8'), ('c_4', '<i8'), ('t_1', '<f8'), ('t_2', '<f8'), ('t_3', '<f8'), ('t_4', '<f8'), ('t_5', '<i8'), ('t_6', '<f8'), ('t_9', '<f8'), ('t_12', '<f8'), ('t_13', '<f8'), ('t_16', '<f8'), ('phi', '<f8'), ('tau', '<f8'), ('sigma', '<f8')])

PERIODS = array([ 0.01,  0.02,  0.03,  0.05,  0.1 ,  0.2 ,  0.3 ,  0.5 ,  1.  ,         2.  ,  3.  ,  5.  ,  7.5 , 10.  ])

Indices of the periods

INDEX_PGA = 0

Index of the peak ground acceleration

INDEX_PGV = None

Index of the peak ground velocity

INDICES_PSA = array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13])

Indices for the spectral accelerations

LIMITS = {'dist_jb': (0.0, 300.0), 'mag': (3.0, 8.5), 'v_s30': (150.0, 1500.0)}

Limits of model applicability

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

class pygmm.DerrasBardCotton2014(scenario: Scenario)

Bases: GroundMotionModel

Derras, Bard and Cotton (2014, []) model.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Derras, Bard & Cotton (2014)'

Long name of the model

ABBREV = 'DBC13'

Short name of the model

COEFF = {'b_1': [-1.271232488, 1.512611028, 0.591089009, -0.126622688, -0.415721222], 'b_2': [-0.076472745, -0.143493078, -0.141251167, -0.1402921, -0.142446238, -0.169403545, -0.168605778, -0.154859216, -0.169019709, -0.176613627, -0.170419807, -0.169012965, -0.163928953, -0.174008354, -0.194478386, -0.200801472, -0.203141294, -0.212134795, -0.214788445, -0.214182427, -0.213932639, -0.212008293, -0.227037484, -0.246738859, -0.24795058, -0.2518272, -0.212879565, -0.215512278, -0.232808829, -0.242614348, -0.230743172, -0.219657843, -0.210397231, -0.197795308, -0.160530216, -0.140822986, -0.107838684, -0.094014862, -0.073895337, -0.05799372, -0.042284114, -0.043692208, -0.027928475, -0.005401146, 0.01643085, 0.056436981, 0.076415498, 0.080005285, 0.07403565, 0.09299877, 0.098090915, 0.094946234, 0.087002098, 0.080633932, 0.091510963, 0.09495708, 0.095220431, 0.086504663, 0.080948314, 0.069604068, 0.059710513, 0.051176846, 0.053684364, 0.056169376], 'log10_std': {'between': [0.149, 0.155, 0.155, 0.157, 0.16, 0.162, 0.163, 0.165, 0.168, 0.17, 0.17, 0.169, 0.17, 0.169, 0.168, 0.168, 0.167, 0.165, 0.164, 0.164, 0.164, 0.163, 0.161, 0.161, 0.163, 0.164, 0.165, 0.166, 0.165, 0.165, 0.164, 0.164, 0.164, 0.164, 0.165, 0.166, 0.166, 0.166, 0.167, 0.166, 0.165, 0.166, 0.167, 0.168, 0.17, 0.172, 0.174, 0.177, 0.179, 0.18, 0.181, 0.183, 0.185, 0.184, 0.186, 0.186, 0.187, 0.188, 0.189, 0.19, 0.19, 0.189, 0.188, 0.188], 'total': [0.298, 0.309, 0.31, 0.313, 0.319, 0.323, 0.325, 0.328, 0.335, 0.338, 0.338, 0.337, 0.338, 0.337, 0.335, 0.334, 0.333, 0.33, 0.328, 0.328, 0.326, 0.325, 0.322, 0.322, 0.326, 0.328, 0.329, 0.33, 0.33, 0.329, 0.327, 0.328, 0.328, 0.327, 0.33, 0.331, 0.332, 0.332, 0.332, 0.331, 0.33, 0.331, 0.333, 0.335, 0.339, 0.343, 0.346, 0.353, 0.356, 0.359, 0.362, 0.365, 0.368, 0.368, 0.37, 0.37, 0.373, 0.375, 0.377, 0.378, 0.378, 0.376, 0.375, 0.375], 'within': [0.258, 0.267, 0.268, 0.27, 0.276, 0.279, 0.281, 0.284, 0.29, 0.293, 0.292, 0.292, 0.293, 0.292, 0.29, 0.289, 0.288, 0.285, 0.284, 0.284, 0.282, 0.281, 0.279, 0.279, 0.282, 0.284, 0.285, 0.286, 0.285, 0.284, 0.283, 0.283, 0.284, 0.283, 0.285, 0.286, 0.287, 0.287, 0.287, 0.287, 0.285, 0.286, 0.288, 0.29, 0.293, 0.297, 0.299, 0.305, 0.308, 0.31, 0.313, 0.316, 0.319, 0.319, 0.32, 0.32, 0.323, 0.324, 0.326, 0.327, 0.327, 0.326, 0.325, 0.324]}, 'min_max': {'depth_hyp': [0.0, 25.0], 'log10_dist_jb': [-1.0, 2.738], 'log10_resp': [[-3.849485002, -0.060923911], [-2.979303657, 0.98101835], [-2.985196725, 0.99145166], [-2.986059277, 1.007712442], [-2.984175815, 1.08949524], [-2.982552276, 1.156662115], [-2.956637722, 1.157095399], [-2.945980456, 1.260733107], [-2.936307635, 1.410814288], [-2.932216636, 1.457727792], [-2.930531138, 1.444991459], [-2.928542596, 1.453062036], [-2.919667313, 1.385037364], [-2.911697131, 1.471769235], [-2.8705569, 1.489542018], [-2.85933557, 1.490888494], [-2.873058765, 1.486617287], [-2.850059029, 1.50374993], [-2.834673005, 1.535394915], [-2.781647452, 1.409036446], [-2.758712763, 1.261319049], [-2.767214299, 1.232880087], [-2.753912978, 1.267300559], [-2.685249329, 1.269455682], [-2.699180576, 1.248427106], [-2.657061356, 1.26168743], [-2.743779615, 1.245493493], [-2.719549792, 1.212558872], [-2.667871945, 1.206737632], [-2.619043181, 1.183978702], [-2.667081411, 1.188206731], [-2.715295253, 1.187534293], [-2.744937774, 1.195017056], [-2.791616858, 1.162867247], [-2.908517633, 1.149294497], [-2.952789244, 1.226266131], [-3.002621528, 1.174170755], [-3.090715515, 1.128224702], [-3.186100033, 1.052990942], [-3.242837714, 1.035664147], [-3.309818391, 1.006674652], [-3.347867863, 1.022366733], [-3.376363292, 0.993946952], [-3.411540737, 0.96655149], [-3.499349533, 0.88712674], [-3.59867812, 0.786452684], [-3.699971186, 0.773370902], [-3.787935025, 0.749136058], [-3.858485145, 0.780103015], [-3.919735723, 0.735773313], [-3.986529186, 0.64299905], [-4.037034701, 0.610951381], [-4.084673593, 0.59822423], [-4.123668528, 0.587317187], [-4.238777883, 0.494881369], [-4.343911322, 0.437831896], [-4.425698673, 0.419551103], [-4.470029056, 0.427769901], [-4.531743129, 0.455067137], [-4.600329725, 0.466260482], [-4.644941317, 0.475656195], [-4.694669918, 0.47363989], [-4.750844723, 0.467695635], [-4.79929973, 0.444726741]], 'log10_v_s30': [1.9638, 3.2035], 'mag': [3.6, 7.6], 'mechanism': [1.0, 4.0]}, 'period': [-1, 0, 0.01, 0.02, 0.03, 0.04, 0.05, 0.075, 0.1, 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.22, 0.24, 0.26, 0.28, 0.3, 0.32, 0.34, 0.36, 0.38, 0.4, 0.42, 0.44, 0.46, 0.48, 0.5, 0.55, 0.6, 0.65, 0.7, 0.75, 0.8, 0.85, 0.9, 0.95, 1, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2, 2.2, 2.4, 2.6, 2.8, 3, 3.2, 3.4, 3.6, 3.8, 4], 'w_1': [[2.647891635, -1.07021796, 0.174087758, 0.092191287, -0.013763679], [-1.908675436, -0.535017369, -0.705141623, 0.167611583, -0.02661049], [0.203542143, 1.780557636, -0.080494591, 0.013596356, 0.061508209], [-0.692737498, 0.441505232, 0.775579973, -0.031717733, -0.16306571], [0.016162821, 0.218141339, -1.606099447, -0.041636256, 0.026057983]], 'w_2': [[-0.510826776, 0.070554779, 0.220914175, 0.168815839, 0.170928164], [-0.54101415, 0.254251327, 0.109777617, 0.075959095, -0.020347572], [-0.539773537, 0.254301257, 0.107974037, 0.074881998, -0.021585429], [-0.539375931, 0.248942044, 0.099446671, 0.081987137, -0.017662836], [-0.537208413, 0.240441278, 0.083145677, 0.087421772, -0.018053459], [-0.520634258, 0.229422592, 0.064081989, 0.087723565, -0.026990211], [-0.536143529, 0.237932202, 0.052958747, 0.079850429, -0.040505524], [-0.554628064, 0.271755601, 0.050356632, 0.055594074, -0.076045335], [-0.532266517, 0.291446897, 0.064617059, 0.055270794, -0.09645035], [-0.521512879, 0.29658671, 0.069576025, 0.056273712, -0.099062435], [-0.5198772, 0.301189055, 0.074326652, 0.054844753, -0.10296585], [-0.514898774, 0.30375476, 0.081772384, 0.055068191, -0.102310668], [-0.516215894, 0.313439795, 0.091938911, 0.052380539, -0.102390682], [-0.4979795, 0.317018727, 0.102152195, 0.049835913, -0.09816729], [-0.493176711, 0.327007863, 0.11418295, 0.049209182, -0.094872584], [-0.485747878, 0.331253599, 0.127205614, 0.046418473, -0.091736341], [-0.478191252, 0.335381467, 0.137325066, 0.044229522, -0.088439399], [-0.472577837, 0.335355736, 0.144140467, 0.044729064, -0.083059358], [-0.460675639, 0.331629622, 0.148101401, 0.05134718, -0.074474238], [-0.455401286, 0.345362019, 0.168485452, 0.057154914, -0.06449186], [-0.45629014, 0.359907531, 0.19163738, 0.058118391, -0.055195467], [-0.448942858, 0.352037712, 0.206011412, 0.061961861, -0.044676346], [-0.437033339, 0.340535007, 0.214707559, 0.064792403, -0.031257631], [-0.449973961, 0.343550607, 0.23202436, 0.066267603, -0.021772794], [-0.435914287, 0.327845458, 0.237413306, 0.068819597, -0.011293778], [-0.42465784, 0.321408865, 0.247731596, 0.077612939, 0.002352304], [-0.415678041, 0.314753909, 0.255990159, 0.081865016, 0.015181998], [-0.415314256, 0.31326253, 0.266736228, 0.090005027, 0.027379773], [-0.414839332, 0.313509014, 0.276335858, 0.101142858, 0.0395314], [-0.418038972, 0.304164889, 0.279426675, 0.109541013, 0.055573293], [-0.412223333, 0.294185023, 0.28018961, 0.10824389, 0.065720829], [-0.405732831, 0.287156033, 0.283138956, 0.108857627, 0.074589338], [-0.404244295, 0.282654061, 0.289679834, 0.110693756, 0.082047467], [-0.398349555, 0.275134246, 0.293426945, 0.11309985, 0.091428891], [-0.382933503, 0.253450948, 0.297505456, 0.122089801, 0.115887837], [-0.373349488, 0.240256546, 0.303362656, 0.136961296, 0.139021525], [-0.373729759, 0.228657553, 0.312794291, 0.14701375, 0.160696896], [-0.359574788, 0.213839065, 0.31311436, 0.151168709, 0.17805053], [-0.345784509, 0.197187139, 0.311285387, 0.158730867, 0.193066308], [-0.341037761, 0.18153626, 0.315005438, 0.166201307, 0.206400745], [-0.336228384, 0.171930075, 0.320637744, 0.170489, 0.214822499], [-0.33108553, 0.161317428, 0.322442037, 0.17349243, 0.222366883], [-0.32867094, 0.149886402, 0.323389852, 0.176411536, 0.229013406], [-0.323017173, 0.137567256, 0.32307006, 0.180835711, 0.230941347], [-0.318080249, 0.124328971, 0.331785162, 0.188006751, 0.238824085], [-0.314220923, 0.115845087, 0.342820043, 0.196252312, 0.246883255], [-0.310585172, 0.101115508, 0.345417663, 0.202331199, 0.251746491], [-0.30818647, 0.084023406, 0.341089481, 0.200767673, 0.250394494], [-0.306686047, 0.07470381, 0.3420609, 0.202142239, 0.245542794], [-0.313876883, 0.071033507, 0.355192942, 0.204450416, 0.244608387], [-0.314688542, 0.061555107, 0.356189983, 0.205736257, 0.242747231], [-0.315962674, 0.049823613, 0.354471767, 0.201790944, 0.236930639], [-0.313927933, 0.042350961, 0.353760318, 0.199163146, 0.233971037], [-0.311733532, 0.038001598, 0.35386736, 0.200105369, 0.233066656], [-0.320665749, 0.017504398, 0.355023584, 0.200108312, 0.232755627], [-0.321798843, 0.003176592, 0.352301716, 0.204816304, 0.233308677], [-0.322225722, -0.004659656, 0.353407995, 0.207387911, 0.229388839], [-0.322062703, -0.015891113, 0.347245916, 0.209002388, 0.228579043], [-0.323754946, -0.022829634, 0.345746481, 0.208617193, 0.229073638], [-0.326085151, -0.025158168, 0.346081206, 0.206000081, 0.228036961], [-0.326322457, -0.028077633, 0.344256668, 0.202713665, 0.222630727], [-0.328791942, -0.033029489, 0.343646922, 0.200033424, 0.219921594], [-0.330966628, -0.03828204, 0.343568322, 0.201457449, 0.219779751], [-0.331991914, -0.041837648, 0.344006313, 0.203514758, 0.220175879]]}

GRAVITY = 9.80665

PERIODS = array([-1.   ,  0.   ,  0.01 ,  0.02 ,  0.03 ,  0.04 ,  0.05 ,  0.075,         0.1  ,  0.11 ,  0.12 ,  0.13 ,  0.14 ,  0.15 ,  0.16 ,  0.17 ,         0.18 ,  0.19 ,  0.2  ,  0.22 ,  0.24 ,  0.26 ,  0.28 ,  0.3  ,         0.32 ,  0.34 ,  0.36 ,  0.38 ,  0.4  ,  0.42 ,  0.44 ,  0.46 ,         0.48 ,  0.5  ,  0.55 ,  0.6  ,  0.65 ,  0.7  ,  0.75 ,  0.8  ,         0.85 ,  0.9  ,  0.95 ,  1.   ,  1.1  ,  1.2  ,  1.3  ,  1.4  ,         1.5  ,  1.6  ,  1.7  ,  1.8  ,  1.9  ,  2.   ,  2.2  ,  2.4  ,         2.6  ,  2.8  ,  3.   ,  3.2  ,  3.4  ,  3.6  ,  3.8  ,  4.   ])

Indices of the periods

INDICES_PSA = array([ 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])

Indices for the spectral accelerations

INDEX_PGA = 1

Index of the peak ground acceleration

INDEX_PGV = 0

Index of the peak ground velocity

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

class pygmm.GulerceAbrahamson2011(*args, **kwargs)

Bases: Model

Gülerce and Abrahamson (2011, []) V/H model.

This model was developed for active tectonic regions.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Gülerce & Abrahamson (2011)'

Long name of the model

ABBREV = 'GA11'

Short name of the model

V_REF = 1100.0

COEFF = rec.array([( 0.   ,  865.1, -1.186, 1.88, 1.18, 6.75, 10,  0.14 , -0.16 , 0.0147, 0.0334, -0.034, -0.105, 0.   ,  0.003, -1.23 , 0.422, 0.333, 0.213, 0.161),            (-1.   ,  400. , -1.955, 1.88, 1.18, 6.75, 10, -1.2  ,  0.09 , 0.0147, 0.0334, -0.034,  0.05 , 0.15 ,  0.022, -1.847, 0.373, 0.369, 0.234, 0.17 ),            ( 0.01 ,  865.1, -1.186, 1.88, 1.18, 6.75, 10,  0.14 , -0.16 , 0.0147, 0.0334, -0.034, -0.105, 0.   ,  0.003, -1.23 , 0.45 , 0.33 , 0.23 , 0.15 ),            ( 0.02 ,  865.1, -1.219, 1.88, 1.18, 6.75, 10,  0.14 , -0.16 , 0.0147, 0.0334, -0.034, -0.105, 0.   ,  0.003, -1.268, 0.45 , 0.33 , 0.23 , 0.15 ),            ( 0.029,  898.6, -1.269, 1.88, 1.18, 6.75, 10,  0.335, -0.185, 0.0147, 0.0334, -0.034, -0.14 , 0.   ,  0.003, -1.366, 0.45 , 0.33 , 0.23 , 0.15 ),            ( 0.04 ,  994.5, -1.308, 1.88, 1.18, 6.75, 10,  0.562, -0.238, 0.0147, 0.0334, -0.034, -0.16 , 0.   ,  0.003, -1.457, 0.45 , 0.341, 0.23 , 0.15 ),            ( 0.05 , 1053.5, -1.346, 1.88, 1.18, 6.75, 10,  0.72 , -0.275, 0.0147, 0.0334, -0.034, -0.136, 0.   , -0.001, -1.533, 0.45 , 0.351, 0.23 , 0.15 ),            ( 0.075, 1085.7, -1.471, 1.88, 1.18, 6.75, 10,  0.552, -0.24 , 0.0147, 0.0334, -0.034, -0.019, 0.   , -0.007, -1.706, 0.45 , 0.37 , 0.23 , 0.15 ),            ( 0.1  , 1032.5, -1.624, 1.88, 1.18, 6.75, 10,  0.214, -0.169, 0.0147, 0.0334, -0.034,  0.   , 0.017, -0.01 , -1.831, 0.45 , 0.384, 0.23 , 0.15 ),            ( 0.15 ,  877.6, -1.931, 1.88, 1.18, 6.75, 10, -0.262, -0.069, 0.0147, 0.0334, -0.034,  0.   , 0.04 , -0.008, -2.114, 0.45 , 0.403, 0.23 , 0.15 ),            ( 0.2  ,  748.2, -2.188, 1.88, 1.18, 6.75, 10, -0.6  ,  0.002, 0.0147, 0.0334, -0.034,  0.   , 0.057, -0.003, -2.362, 0.45 , 0.416, 0.23 , 0.15 ),            ( 0.26 ,  639. , -2.412, 1.88, 1.18, 6.75, 10, -0.769,  0.023, 0.0147, 0.0334, -0.034,  0.   , 0.072,  0.001, -2.527, 0.45 , 0.429, 0.23 , 0.15 ),            ( 0.3  ,  587.1, -2.518, 1.88, 1.18, 6.75, 10, -0.861,  0.034, 0.0147, 0.0334, -0.034,  0.   , 0.08 ,  0.006, -2.598, 0.45 , 0.436, 0.23 , 0.15 ),            ( 0.4  ,  503. , -2.657, 1.88, 1.18, 6.75, 10, -1.045,  0.057, 0.0147, 0.0334, -0.034,  0.   , 0.097,  0.015, -2.685, 0.45 , 0.449, 0.23 , 0.15 ),            ( 0.5  ,  456.6, -2.669, 1.88, 1.18, 6.75, 10, -1.189,  0.075, 0.0147, 0.0334, -0.034,  0.   , 0.11 ,  0.022, -2.657, 0.45 , 0.46 , 0.23 , 0.15 ),            ( 0.75 ,  410.5, -2.401, 1.88, 1.18, 6.75, 10, -1.25 ,  0.09 , 0.0147, 0.0334, -0.034,  0.   , 0.133,  0.022, -2.265, 0.45 , 0.479, 0.237, 0.15 ),            ( 1.   ,  400. , -1.955, 1.88, 1.18, 6.75, 10, -1.209,  0.09 , 0.0147, 0.0334, -0.034,  0.   , 0.15 ,  0.022, -1.685, 0.45 , 0.492, 0.266, 0.15 ),            ( 1.5  ,  400. , -1.025, 1.88, 1.18, 6.75, 10, -1.152,  0.09 , 0.0147, 0.0334, -0.034,  0.029, 0.15 ,  0.022, -0.57 , 0.45 , 0.511, 0.307, 0.15 ),            ( 2.   ,  400. , -0.299, 1.88, 1.18, 6.75, 10, -1.111,  0.09 , 0.0147, 0.0334, -0.034,  0.05 , 0.15 ,  0.022,  0.25 , 0.532, 0.52 , 0.337, 0.15 ),            ( 3.   ,  400. ,  0.   , 1.88, 1.18, 6.75, 10, -1.054,  0.09 , 0.0147, 0.0334, -0.034,  0.079, 0.15 ,  0.022,  0.46 , 0.648, 0.52 , 0.378, 0.213),            ( 4.   ,  400. ,  0.   , 1.88, 1.18, 6.75, 10, -1.014,  0.09 , 0.0147, 0.0334, -0.034,  0.1  , 0.15 ,  0.022,  0.46 , 0.7  , 0.52 , 0.407, 0.258),            ( 5.   ,  400. ,  0.   , 1.88, 1.18, 6.75, 10, -1.   ,  0.09 , 0.0147, 0.0334, -0.034,  0.1  , 0.15 ,  0.022,  0.46 , 0.7  , 0.52 , 0.43 , 0.292),            ( 7.5  ,  400. ,  0.   , 1.88, 1.18, 6.75, 10, -1.   ,  0.09 , 0.0147, 0.0334, -0.034,  0.1  , 0.15 ,  0.022,  0.46 , 0.7  , 0.52 , 0.471, 0.355),            (10.   ,  400. ,  0.   , 1.88, 1.18, 6.75, 10, -1.   ,  0.09 , 0.0147, 0.0334, -0.034,  0.1  , 0.15 ,  0.022,  0.46 , 0.7  , 0.52 , 0.5  , 0.4  )],           dtype=[('period', '<f8'), ('v_lin', '<f8'), ('b', '<f8'), ('c', '<f8'), ('n', '<f8'), ('c1', '<f8'), ('c4', '<i8'), ('a1', '<f8'), ('a2', '<f8'), ('a3', '<f8'), ('a4', '<f8'), ('a5', '<f8'), ('a6', '<f8'), ('a7', '<f8'), ('a8', '<f8'), ('a10', '<f8'), ('s1', '<f8'), ('s2', '<f8'), ('s3', '<f8'), ('s4', '<f8')])

PERIODS = array([ 0.   , -1.   ,  0.01 ,  0.02 ,  0.029,  0.04 ,  0.05 ,  0.075,         0.1  ,  0.15 ,  0.2  ,  0.26 ,  0.3  ,  0.4  ,  0.5  ,  0.75 ,         1.   ,  1.5  ,  2.   ,  3.   ,  4.   ,  5.   ,  7.5  , 10.   ])

INDEX_PGA = 0

INDEX_PGV = 1

INDICES_PSA = array([ 2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17, 18,        19, 20, 21, 22, 23])

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

property ratio

property ln_std

interp_ratio(periods: Union[List[float], ndarray]) → ndarray

Interpolate the spectral ratio.

Interpolation of the spectral ratio done in log-period and log-ratio space.

Parameters

periods (array_like) – spectral periods to interpolate the response.

Returns

ratio – interpolated ratio

Return type

np.ndarray

interp_ln_std(periods: Union[List[float], ndarray]) → ndarray

Interpolate the spectral ratio.

Interpolation of the spectral ratio done in log-period space.

Parameters

periods (array_like) – spectral periods to interpolate the response.

Returns

ratio – interpolated ratio

Return type

np.ndarray

class pygmm.KemptonStewart2006(scenario)

Bases: Model

Kempton and Stewart (2006, []) duration model.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Kempton Stewart (2006)'

Long name of the model

ABBREV = 'KS06'

Short name of the model

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>]

Model parameters

property duration

property std_err

class pygmm.Idriss2014(scenario: Scenario)

Bases: GroundMotionModel

Idriss (2014, []) model.

This model was developed for active tectonic regions as part of the NGA-West2 effort.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Idriss (2014)'

Long name of the model

ABBREV = 'I14'

Short name of the model

V_REF = 1200.0

COEFF = {'large': rec.array([( 0.01 ,  9.0138, -0.0794,  0.0589, 2.9935, -0.2287, -0.854, -0.0027, 0.08),            ( 0.02 ,  9.0408, -0.0794,  0.0589, 2.9935, -0.2287, -0.854, -0.0027, 0.08),            ( 0.03 ,  9.1338, -0.0794,  0.0589, 2.9935, -0.2287, -0.854, -0.0027, 0.08),            ( 0.04 ,  9.2538, -0.0794,  0.0589, 2.9935, -0.2287, -0.854, -0.0027, 0.08),            ( 0.05 ,  7.9837, -0.1923,  0.0417, 2.7995, -0.2319, -0.631, -0.0061, 0.08),            ( 0.075,  7.756 , -0.1614,  0.0527, 2.8143, -0.2326, -0.591, -0.0056, 0.08),            ( 0.1  ,  9.4252, -0.1887,  0.0442, 2.8131, -0.2211, -0.757, -0.0042, 0.08),            ( 0.15 ,  9.6242, -0.0665,  0.0329, 2.4091, -0.1676, -0.911, -0.0046, 0.08),            ( 0.2  , 11.13  , -0.1698,  0.0188, 2.4938, -0.1685, -0.998, -0.003 , 0.08),            ( 0.25 , 11.3629, -0.1766,  0.0095, 2.3773, -0.1531, -1.042, -0.0028, 0.08),            ( 0.3  , 11.7818, -0.2798, -0.0039, 2.3772, -0.1595, -1.03 , -0.0029, 0.08),            ( 0.4  , 11.6097, -0.3048, -0.0133, 2.3413, -0.1594, -1.019, -0.0028, 0.08),            ( 0.5  , 11.4484, -0.2911, -0.0224, 2.3477, -0.1584, -1.023, -0.0021, 0.08),            ( 0.75 , 10.9065, -0.3097, -0.0267, 2.2042, -0.1577, -1.056, -0.0029, 0.08),            ( 1.   ,  9.8565, -0.2565, -0.0198, 2.1493, -0.1532, -1.009, -0.0032, 0.06),            ( 1.5  ,  8.3363, -0.232 , -0.0367, 2.0408, -0.147 , -0.898, -0.0033, 0.04),            ( 2.   ,  6.8656, -0.1226, -0.0291, 2.0013, -0.1439, -0.851, -0.0032, 0.02),            ( 3.   ,  4.1178,  0.1724, -0.0214, 1.9408, -0.1278, -0.761, -0.0031, 0.02),            ( 4.   ,  1.8102,  0.3001, -0.024 , 1.7763, -0.1326, -0.675, -0.0051, 0.  ),            ( 5.   ,  0.0977,  0.4609, -0.0202, 1.703 , -0.1291, -0.629, -0.0059, 0.  ),            ( 7.5  , -3.0563,  0.6948, -0.0219, 1.5212, -0.122 , -0.531, -0.0057, 0.  ),            (10.   , -4.4387,  0.8393, -0.0035, 1.4195, -0.1145, -0.586, -0.0061, 0.  )],           dtype=[('period', '<f8'), ('alpha_1', '<f8'), ('alpha_2', '<f8'), ('alpha_3', '<f8'), ('beta_1', '<f8'), ('beta_2', '<f8'), ('epsilon', '<f8'), ('gamma', '<f8'), ('phi', '<f8')]), 'small': rec.array([( 0.01 ,  7.0887, 2.0580e-01,  0.0589, 2.9935, -0.2287, -0.854, -0.0027, 0.08),            ( 0.02 ,  7.1157, 2.0580e-01,  0.0589, 2.9935, -0.2287, -0.854, -0.0027, 0.08),            ( 0.03 ,  7.2087, 2.0580e-01,  0.0589, 2.9935, -0.2287, -0.854, -0.0027, 0.08),            ( 0.04 ,  7.3287, 2.0580e-01,  0.0589, 2.9935, -0.2287, -0.854, -0.0027, 0.08),            ( 0.05 ,  6.2638, 6.2500e-02,  0.0417, 2.8664, -0.2418, -0.631, -0.0061, 0.08),            ( 0.075,  5.9051, 1.1280e-01,  0.0527, 2.9406, -0.2513, -0.591, -0.0056, 0.08),            ( 0.1  ,  7.5791, 8.4800e-02,  0.0442, 3.019 , -0.2516, -0.757, -0.0042, 0.08),            ( 0.15 ,  8.019 , 1.7130e-01,  0.0329, 2.7871, -0.2236, -0.911, -0.0046, 0.08),            ( 0.2  ,  9.2812, 1.0410e-01,  0.0188, 2.8611, -0.2229, -0.998, -0.003 , 0.08),            ( 0.25 ,  9.5804, 8.7500e-02,  0.0095, 2.8289, -0.22  , -1.042, -0.0028, 0.08),            ( 0.3  ,  9.8912, 3.0000e-04, -0.0039, 2.8423, -0.2284, -1.03 , -0.0029, 0.08),            ( 0.4  ,  9.5342, 2.7000e-03, -0.0133, 2.83  , -0.2318, -1.019, -0.0028, 0.08),            ( 0.5  ,  9.2142, 3.9900e-02, -0.0224, 2.856 , -0.2337, -1.023, -0.0021, 0.08),            ( 0.75 ,  8.3517, 6.8900e-02, -0.0267, 2.7544, -0.2392, -1.056, -0.0029, 0.08),            ( 1.   ,  7.0453, 1.6000e-01, -0.0198, 2.7339, -0.2398, -1.009, -0.0032, 0.06),            ( 1.5  ,  5.1307, 2.4290e-01, -0.0367, 2.68  , -0.2417, -0.898, -0.0033, 0.04),            ( 2.   ,  3.361 , 3.9660e-01, -0.0291, 2.6837, -0.245 , -0.851, -0.0032, 0.02),            ( 3.   ,  0.1784, 7.5600e-01, -0.0214, 2.6907, -0.2389, -0.761, -0.0031, 0.02),            ( 4.   , -2.4301, 9.2830e-01, -0.024 , 2.5782, -0.2514, -0.675, -0.0051, 0.  ),            ( 5.   , -4.357 , 1.1209e+00, -0.0202, 2.5468, -0.2541, -0.629, -0.0059, 0.  ),            ( 7.5  , -7.8275, 1.4016e+00, -0.0219, 2.4478, -0.2593, -0.531, -0.0057, 0.  ),            (10.   , -9.2857, 1.5574e+00, -0.0035, 2.3922, -0.2586, -0.586, -0.0061, 0.  )],           dtype=[('period', '<f8'), ('alpha_1', '<f8'), ('alpha_2', '<f8'), ('alpha_3', '<f8'), ('beta_1', '<f8'), ('beta_2', '<f8'), ('epsilon', '<f8'), ('gamma', '<f8'), ('phi', '<f8')])}

PERIODS = array([ 0.01 ,  0.02 ,  0.03 ,  0.04 ,  0.05 ,  0.075,  0.1  ,  0.15 ,         0.2  ,  0.25 ,  0.3  ,  0.4  ,  0.5  ,  0.75 ,  1.   ,  1.5  ,         2.   ,  3.   ,  4.   ,  5.   ,  7.5  , 10.   ])

Indices of the periods

INDEX_PGA = 0

Index of the peak ground acceleration

INDICES_PSA = array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,        17, 18, 19, 20, 21])

Indices for the spectral accelerations

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>, <pygmm.model.CategoricalParameter object>]

Model parameters

class pygmm.PezeshkZandiehTavakoli2011(scenario: Scenario)

Bases: GroundMotionModel

Pezeshk, Zandieh, and Tavakoli (2011, []) model.

Developed for the Eastern North America with a reference velocity of 2000 m/s.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Pezeshk et al. (2011)'

Long name of the model

ABBREV = 'Pea11'

Short name of the model

V_REF = 2000.0

COEFF = rec.array([( 0.   ,  1.5828, 0.2298, -0.03847, -3.8325, 0.3535,  0.3321 , -0.09165, -2.5517, 0.1831 , -4.224e-04, 6.6521, -0.02105 , 0.3778, 0.2791, 0.021),            ( 0.01 ,  2.0434, 0.1987, -0.03837, -4.0521, 0.3688,  0.1995 , -0.08918, -2.5948, 0.1847 , -3.965e-04, 7.0645, -0.01974 , 0.3688, 0.2792, 0.022),            ( 0.02 ,  2.305 , 0.1877, -0.03697, -4.0443, 0.3616, -0.1222 , -0.09157, -2.9998, 0.1941 , -1.707e-04, 7.3314, -0.01974 , 0.3691, 0.2796, 0.023),            ( 0.03 ,  1.9848, 0.2203, -0.03616, -3.8032, 0.3384,  0.07814, -0.1126 , -3.3125, 0.2017 , -5.322e-05, 7.1183, -0.02094 , 0.3817, 0.2838, 0.022),            ( 0.04 ,  1.6854, 0.2404, -0.03578, -3.6129, 0.3247,  0.2956 , -0.118  , -3.332 , 0.1977 , -1.113e-04, 6.8113, -0.0218  , 0.3914, 0.2874, 0.024),            ( 0.05 ,  1.4517, 0.2414, -0.03468, -3.4683, 0.3177,  0.5224 , -0.1296 , -3.2109, 0.1956 , -2.669e-04, 6.3705, -0.02244 , 0.399 , 0.2905, 0.025),            ( 0.075,  1.0698, 0.2989, -0.03897, -3.377 , 0.318 ,  0.7422 , -0.1215 , -2.6889, 0.1723 , -6.659e-04, 6.0817, -0.02312 , 0.4108, 0.2976, 0.025),            ( 0.1  ,  0.9314, 0.3088, -0.03844, -3.2926, 0.3063,  0.7064 , -0.09521, -2.209 , 0.1472 , -9.254e-04, 6.1621, -0.02259 , 0.4102, 0.3007, 0.022),            ( 0.15 ,  0.3964, 0.4317, -0.04578, -3.2112, 0.2937,  0.6084 , -0.06727, -1.6121, 0.1072 , -1.077e-03, 6.2667, -0.02185 , 0.4066, 0.3023, 0.016),            ( 0.2  , -0.4883, 0.6278, -0.05654, -3.0304, 0.2673,  0.5422 , -0.05347, -1.3516, 0.08784, -1.045e-03, 6.1905, -0.02046 , 0.3979, 0.3033, 0.014),            ( 0.25 , -1.0098, 0.7401, -0.06309, -2.9959, 0.2623,  0.4421 , -0.03625, -1.2309, 0.07733, -9.648e-04, 6.0635, -0.01933 , 0.3908, 0.3041, 0.015),            ( 0.3  , -1.68  , 0.886 , -0.07162, -2.8894, 0.2481,  0.4869 , -0.04324, -1.149 , 0.07056, -9.049e-04, 5.9891, -0.01837 , 0.3867, 0.3068, 0.015),            ( 0.4  , -2.3106, 1.022 , -0.07965, -2.9265, 0.2515,  0.4716 , -0.04039, -1.0923, 0.06554, -7.853e-04, 6.0263, -0.01683 , 0.3774, 0.3082, 0.017),            ( 0.5  , -3.1365, 1.201 , -0.09037, -2.8823, 0.2456,  0.3333 , -0.02105, -1.0022, 0.05519, -7.069e-04, 5.9117, -0.01556 , 0.3722, 0.3119, 0.017),            ( 0.75 , -4.5494, 1.508 , -0.1087 , -2.8614, 0.2424,  0.4023 , -0.03092, -0.975 , 0.05536, -5.685e-04, 5.9835, -0.01339 , 0.3654, 0.3203, 0.021),            ( 1.   , -5.4113, 1.69  , -0.1196 , -2.8998, 0.2465,  0.3766 , -0.02928, -0.947 , 0.05249, -4.563e-04, 6.1234, -0.0118  , 0.3588, 0.3249, 0.022),            ( 1.5  , -6.4806, 1.867 , -0.1282 , -2.9338, 0.2525,  0.2633 , -0.01442, -0.9007, 0.04974, -3.540e-04, 5.9875, -0.0104  , 0.3569, 0.3327, 0.019),            ( 2.   , -6.934 , 1.907 , -0.1287 , -3.0128, 0.2639,  0.3172 , -0.0215 , -0.8749, 0.04774, -3.025e-04, 6.1355, -0.009443, 0.3561, 0.3387, 0.021),            ( 3.   , -7.4264, 1.881 , -0.1205 , -2.9742, 0.2576,  0.2585 , -0.0152 , -0.8821, 0.05376, -2.641e-04, 6.0598, -0.008509, 0.354 , 0.3431, 0.024),            ( 4.   , -7.8064, 1.895 , -0.1183 , -3.005 , 0.2588,  0.3069 , -0.02545, -0.8808, 0.05703, -2.423e-04, 6.2536, -0.007859, 0.3527, 0.3463, 0.03 ),            ( 5.   , -8.2704, 1.938 , -0.118  , -2.9501, 0.2503,  0.3296 , -0.03023, -1.0125, 0.07332, -2.002e-04, 6.3423, -0.0069  , 0.3577, 0.358 , 0.032),            ( 7.5  , -8.3376, 1.806 , -0.1042 , -2.9839, 0.2542,  0.2879 , -0.02252, -1.1817, 0.09598, -1.624e-04, 6.5181, -0.00724 , 0.373 , 0.371 , 0.03 ),            (10.   , -9.1046, 1.899 , -0.1076 , -2.8611, 0.2395,  0.2868 , -0.0229 , -1.3786, 0.1222 , -1.268e-04, 6.5384, -0.007485, 0.3848, 0.381 , 0.024)],           dtype=[('period', '<f8'), ('c_1', '<f8'), ('c_2', '<f8'), ('c_3', '<f8'), ('c_4', '<f8'), ('c_5', '<f8'), ('c_6', '<f8'), ('c_7', '<f8'), ('c_8', '<f8'), ('c_9', '<f8'), ('c_10', '<f8'), ('c_11', '<f8'), ('c_12', '<f8'), ('c_13', '<f8'), ('c_14', '<f8'), ('sigma_reg', '<f8')])

PERIODS = array([ 0.   ,  0.01 ,  0.02 ,  0.03 ,  0.04 ,  0.05 ,  0.075,  0.1  ,         0.15 ,  0.2  ,  0.25 ,  0.3  ,  0.4  ,  0.5  ,  0.75 ,  1.   ,         1.5  ,  2.   ,  3.   ,  4.   ,  5.   ,  7.5  , 10.   ])

Indices of the periods

INDEX_PGA = 0

Index of the peak ground acceleration

INDICES_PSA = array([ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,        18, 19, 20, 21, 22])

Indices for the spectral accelerations

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>]

Model parameters

class pygmm.TavakoliPezeshk05(scenario: Scenario)

Bases: GroundMotionModel

Tavakoli and Pezeshk (2005, []) model.

Developed for the Eastern North America with a reference velocity of 2880 m/s.

Parameters

scenario (pygmm.model.Scenario) – earthquake scenario

NAME = 'Tavakoli and Pezeshk (2005)'

Long name of the model

ABBREV = 'TP05'

Short name of the model

V_REF = 2880.0

COEFF = rec.array([(0.  ,  1.14 , 0.623, -0.0483, -1.81, -0.652, 0.446, -2.93e-05, -0.00405,  0.00946 , 1.41, -0.961, 0.000432, 0.000133, 1.21, -0.111 , 0.409),            (0.05,  1.82 , 0.533, -0.0475, -1.63, -0.567, 0.454,  7.77e-03, -0.00491, -0.00314 , 0.98, -0.939, 0.000512, 0.00093 , 1.22, -0.108 , 0.441),            (0.08,  0.683, 0.743, -0.0293, -1.71, -0.756, 0.46 , -9.68e-04, -0.00494, -0.0055  , 1.13, -0.916, 0.000482, 0.000733, 1.22, -0.108 , 0.449),            (0.1 ,  0.869, 0.607, -0.0474, -1.52, -0.704, 0.449, -6.19e-03, -0.0047 , -0.00424 , 1.04, -0.913, 0.000411, 0.000358, 1.23, -0.108 , 0.456),            (0.15,  2.38 , 0.501, -0.0642, -1.73, -0.976, 0.414,  6.60e-03, -0.0048 ,  0.00393 , 1.51, -0.865, 0.000364, 0.000684, 1.24, -0.108 , 0.464),            (0.2 , -0.548, 0.857, -0.0262, -1.68, -0.861, 0.433,  2.79e-03, -0.00365, -0.00202 , 1.64, -0.925, 0.000161, 0.000643, 1.24, -0.108 , 0.469),            (0.3 , -0.513, 0.667, -0.0443, -1.42, -0.47 , 0.468,  1.08e-02, -0.00541,  0.00644 , 1.52, -0.915, 0.000432, 0.000287, 1.26, -0.109 , 0.479),            (0.5 ,  0.24 , 0.611, -0.0789, -1.55, -0.844, 0.414,  7.89e-03, -0.00365, -0.000265, 1.59, -0.859, 0.000277, 0.000146, 1.28, -0.173 , 0.505),            (0.75, -0.679, 0.666, -0.083 , -1.48, -0.734, 0.435,  9.53e-03, -0.00337, -0.00119 , 1.55, -0.784, 0.000245, 0.000547, 1.28, -0.105 , 0.522),            (1.  , -1.55 , 0.764, -0.0859, -1.49, -0.941, 0.424, -5.84e-03, -0.00209,  0.0033  , 1.52, -0.757, 0.000117, 0.000759, 1.28, -0.103 , 0.537),            (1.5 , -2.3  , 0.794, -0.0884, -1.45, -0.886, 0.412,  8.30e-03, -0.00327,  0.00251 , 1.71, -0.769, 0.000233, 0.000166, 1.27, -0.0999, 0.551),            (2.  , -2.7  , 0.805, -0.0929, -1.44, -0.923, 0.408,  2.06e-02, -0.00214,  0.0023  , 1.43, -0.755, 0.000214, 0.000391, 1.26, -0.0978, 0.562),            (3.  , -2.42 , 0.801, -0.108 , -1.65, -0.898, 0.437,  1.67e-02, -0.00203,  0.00358 , 1.93, -0.818, 0.000116, 0.000398, 1.26, -0.0952, 0.573),            (4.  , -3.69 , 0.817, -0.118 , -1.46, -0.845, 0.425,  1.13e-02, -0.00172, -0.00334 , 1.69, -0.737, 0.00011 , 0.000359, 1.25, -0.0926, 0.589)],           dtype=[('period', '<f8'), ('c_1', '<f8'), ('c_2', '<f8'), ('c_3', '<f8'), ('c_4', '<f8'), ('c_5', '<f8'), ('c_6', '<f8'), ('c_7', '<f8'), ('c_8', '<f8'), ('c_9', '<f8'), ('c_10', '<f8'), ('c_11', '<f8'), ('c_12', '<f8'), ('c_13', '<f8'), ('c_14', '<f8'), ('c_15', '<f8'), ('c_16', '<f8')])

PERIODS = array([0.  , 0.05, 0.08, 0.1 , 0.15, 0.2 , 0.3 , 0.5 , 0.75, 1.  , 1.5 ,        2.  , 3.  , 4.  ])

Indices of the periods

INDEX_PGA = 0

Index of the peak ground acceleration

INDICES_PSA = array([ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13])

Indices for the spectral accelerations

PARAMS = [<pygmm.model.NumericParameter object>, <pygmm.model.NumericParameter object>]

Model parameters