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data.py
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data.py
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import numpy as np
from . import tools
class IntervalTestData(object):
functions = [tools.f]
first_derivs = [tools.fd]
domains = [(1,2),(0,2),(-1,0),(-.2*np.pi,.2*np.e),(-1,1)]
integrals = [
[ 0.032346217980525, 0.030893429600387, -0.014887469493652,
-0.033389463703032, -0.016340257873789, ]
]
roots = [
[
np.array([
1.004742754531498, 1.038773298601836, 1.073913103930722,
1.115303578807479, 1.138876334576409, 1.186037005063195,
1.200100773491540, 1.251812490296546, 1.257982114030372,
1.312857486088040, 1.313296484543653, 1.365016316032836,
1.371027655848883, 1.414708808202124, 1.425447888640173,
1.462152640981920, 1.476924360913394, 1.507538306301423,
1.525765627652155, 1.551033406767893, 1.572233571395834,
1.592786143530423, 1.616552437657155, 1.632928169757349,
1.658915772490721, 1.671576942342459, 1.699491823230094,
1.708837673403015, 1.738427795274605, 1.744804960074507,
1.775853245044121, 1.779564153811983, 1.811882812082608,
1.813192517312102, 1.845760207165999, 1.846618439572035,
1.877331112646444, 1.880151194495009, 1.907963575049332,
1.912562771369236, 1.937711007329229, 1.943926743585850,
1.966622430081970, 1.974309611716701, 1.994742937003962,
]),
np.array([
0.038699154393837, 0.170621357069026, 0.196642349303247,
0.335710810755860, 0.360022217617733, 0.459687243605995,
0.515107092342894, 0.571365105600701, 0.646902333813374,
0.672854750953472, 0.761751991347867, 0.765783134619707,
0.851427319155724, 0.863669737544800, 0.930805860269712,
0.955368374256150,
1.004742754531498, 1.038773298601836, 1.073913103930722,
1.115303578807479, 1.138876334576409, 1.186037005063195,
1.200100773491540, 1.251812490296546, 1.257982114030372,
1.312857486088040, 1.313296484543653, 1.365016316032836,
1.371027655848883, 1.414708808202124, 1.425447888640173,
1.462152640981920, 1.476924360913394, 1.507538306301423,
1.525765627652155, 1.551033406767893, 1.572233571395834,
1.592786143530423, 1.616552437657155, 1.632928169757349,
1.658915772490721, 1.671576942342459, 1.699491823230094,
1.708837673403015, 1.738427795274605, 1.744804960074507,
1.775853245044121, 1.779564153811983, 1.811882812082608,
1.813192517312102, 1.845760207165999, 1.846618439572035,
1.877331112646444, 1.880151194495009, 1.907963575049332,
1.912562771369236, 1.937711007329229, 1.943926743585850,
1.966622430081970, 1.974309611716701, 1.994742937003962,
]),
np.array([
-0.928510879374692, -0.613329324979852, -0.437747415493617,
-0.357059979912156, -0.143371301774133, -0.075365172766102,
]),
np.array([
-0.613329324979852, -0.437747415493618, -0.357059979912156,
-0.143371301774133, -0.075365172766103, 0.038699154393837,
0.170621357069026, 0.196642349303248, 0.335710810755860,
0.360022217617734, 0.459687243605995, 0.515107092342894,
]),
np.array([
-0.928510879374692, -0.613329324979852, -0.437747415493617,
-0.357059979912156, -0.143371301774133, -0.075365172766102,
0.038699154393837, 0.170621357069026, 0.196642349303247,
0.335710810755860, 0.360022217617733, 0.459687243605995,
0.515107092342894, 0.571365105600701, 0.646902333813374,
0.672854750953472, 0.761751991347867, 0.765783134619707,
0.851427319155724, 0.863669737544800, 0.930805860269712,
0.955368374256150,
])
]
]
#------------------------------------------------------------------------------
# Variables utilised in the unit-tests
#------------------------------------------------------------------------------
flat_chebfun_vals = [
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0.999999997, 0.999999986,
0.999999941, 0.999999789, 0.999999393, 0.999998563, 0.999997184,
0.999995348, 0.999993366, 0.99999154, 0.999989915, 0.999988271,
0.999986403, 0.999984359, 0.999982364, 0.999980474, 0.999978307,
0.999975142, 0.999970324, 0.999963643, 0.999955361, 0.999945898,
0.999935363, 0.999923205, 0.999908262, 0.999889202, 0.999864879,
0.999834246, 0.999796326, 0.99975088, 0.99969903, 0.999642342,
0.999580651, 0.999510781, 0.999427251, 0.999323793, 0.999194567,
0.999035416, 0.998844745, 0.998622138, 0.998364734, 0.998065025,
0.997713245, 0.997302283, 0.996829434, 0.996292659, 0.995685794,
0.994998503, 0.994220762, 0.993346077, 0.992368917, 0.99127826,
0.990054121, 0.988671759, 0.98710944, 0.985350209, 0.983374834,
0.981155291, 0.978659102, 0.975861583, 0.972752611, 0.969329423,
0.965579958, 0.961469433, 0.956940511, 0.95192781, 0.94637807,
0.940262855, 0.93357411, 0.926305629, 0.918439616, 0.909957562,
0.90086621, 0.891201576, 0.880993483, 0.870226297, 0.858845216,
0.84680415, 0.834100554, 0.820763048, 0.806814451, 0.792250772,
0.777051706, 0.761210269, 0.744753854, 0.727735506, 0.710206105,
0.692195444, 0.673708895, 0.65473279, 0.635254799, 0.615298016,
0.594939271, 0.574286603, 0.553432126, 0.532428562, 0.511317921,
0.490178078, 0.46912582, 0.448268747, 0.427662956, 0.40732279,
0.387259893, 0.367495569, 0.348043802, 0.328916616, 0.310158617,
0.291852411, 0.274075761, 0.256866646, 0.240236008, 0.22419954,
0.208787517, 0.19403154, 0.179950519, 0.166547846, 0.15381606,
0.14174234, 0.130312476, 0.1195121, 0.109325601, 0.099737909,
0.090739786, 0.082329246, 0.074508439, 0.067280706, 0.060641503,
0.054562011, 0.048986606, 0.043855339, 0.039128943, 0.034791594,
0.030835863, 0.027249885, 0.024013122, 0.021095398, 0.018461179,
0.01608212, 0.013947278, 0.012058915, 0.010417872, 0.009010476,
0.00780443, 0.006757475, 0.00583398, 0.005014532, 0.004291684,
0.003660989, 0.003116582, 0.002650172, 0.002250345, 0.001904272,
0.001602206, 0.00133936, 0.001113409, 0.000922497, 0.000765091,
0.000638606, 0.000537747, 0.000455515, 0.000385761, 0.000324789,
0.000271423, 0.000225886, 0.000188349, 0.000158104, 0.000133678,
0.000113573, 9.67E-05, 8.23E-05, 6.91E-05, 5.67E-05, 4.53E-05,
3.54E-05, 2.74E-05, 2.12E-05, 1.65E-05, 1.32E-05, 1.12E-05, 9.83E-06,
8.52E-06, 6.74E-06, 4.57E-06, 2.55E-06, 1.13E-06, 3.89E-07, 1.03E-07,
2.06E-08, 3.12E-09, 3.54E-10, 3.00E-11, 1.88E-12, 7.43E-14, -1.68E-14,
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-4.74E-15, -2.88E-14, -4.28E-15, -2.94E-14, -4.26E-15, -2.95E-14,
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-4.72E-15, -2.98E-14, -4.25E-15, -3.04E-14, -4.33E-15, -3.05E-14,
-4.22E-15, -2.99E-14, -4.39E-15, -3.00E-14, -4.44E-15, -2.98E-14,
-4.11E-15, -2.98E-14, -3.89E-15, -2.96E-14, -3.83E-15, -2.91E-14,
-5.05E-15, -2.99E-14, -3.72E-15, -2.96E-14, -3.94E-15, -3.04E-14,
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-2.78E-15, -2.95E-14, -3.00E-15, -2.95E-14, -2.22E-15, -2.99E-14,
-4.27E-15, -2.89E-14, -2.28E-15, -2.93E-14, -4.16E-15, -2.98E-14,
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1.11E-16, -2.79E-14, 0, -2.82E-14, 2.78E-16, -2.82E-14, -7.22E-16,
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