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#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
Created on Thu Feb 16 17:40:09 2017
<strong i="18">@author</strong>:
"""
import numpy as np
def f(x):
return 100*np.exp(-10*x)
def exact(x):
return 1.0-(1-np.exp(-10))*x-np.exp(-10*x)
# Hardcoded params for simplicity
#fileout = pyOutput
exponent = 4
#n = 4
for k in range(1, exponent):
# Weird thing we didn't understand
n = 10**k
# Append i to filename
fileout = 'pyOutputSimple'
fileout += str(k)
# descretization resolution
h = 1/n
hh = h*h
''''''
d = np.zeros(n+1)
b = np.zeros(n+1)
x = np.zeros(n+1)
solution = np.zeros(n+1)
d[0] = 2
d[n] = 2
solution[0] = 0
solution[n] = 0
for i in range(1,n):
d[i] = (i+1)/i
for i in range(0,n+1):
x[i] = i*h
b[i] = hh*f(i*h)
# FW sub
for i in range(2,n):
b[i] = b[i] + b[i-1]/d[i-1]
# Backward sub
solution[n-1] = b[n-1]/d[n-1]
for i in range((n-2),0):
solution[i] = (b[i]+solution[i+1])/d[i]
with open(fileout, 'w') as fout:
fout.write('x:\t\tApprox:\t\tExact:\t\tRelative Error:\n')
for j in range(0,n):
RelativeError = np.abs((exact(x[j])-solution[j])/exact(x[j]))
fout.writelines('{0:.8f}'.format(x[j]) + '\t')
fout.writelines('{0:.8f}'.format(solution[j]) + '\t')
fout.writelines('{0:.8f}'.format(exact(x[j])) + '\t')
fout.writelines('{0:.8f}'.format(np.log10(RelativeError)) + '\n')
fout.closed
print('File: ' + str(k) + '/' + str(exponent) + ' written.')
numpyã䜿çšãããŸã
pyflakes >=0.6.0 : 1.5.0 (OK)
pep8 >=0.6 : 1.7.0 (OK)
pygments >=2.0 : 2.1.3 (OK)
qtconsole >=4.2.0: 4.2.1 (OK)
nbconvert >=4.0 : 4.2.0 (OK)
pandas >=0.13.1 : 0.19.2 (OK)
numpy >=1.7 : 1.11.3 (OK)
sphinx >=0.6.6 : 1.5.1 (OK)
rope >=0.9.4 : 0.9.4-1 (OK)
jedi >=0.8.1 : 0.9.0 (OK)
psutil >=0.3 : 5.0.1 (OK)
matplotlib >=1.0 : 2.0.0 (OK)
sympy >=0.7.3 : 1.0 (OK)
pylint >=0.25 : 1.6.4 (OK)
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ipdb> sys.version_info
sys.version_info(major=3, minor=5, micro=2, releaselevel='final', serial=0)
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substitutions = dict(planet="World")
print("Hello {planet}".format(**substitutions))
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ipdb> !locals().keys()
dict_keys(['BoxPassage', '___', 'Engine', 'ticks_ms', 'loadStory', '_oh', '_iii', 'ChoicePassage', '_ih', 'storyUid', '__package__', 'ConfirmationPassage', '_sh', '_', 'uidInitTypes', '__name__', 'UidRegistry', '__file__', '_i1', 'boxUids', 'getStoryContext', 'Card', 'UidItem', '_ii', 'In', '__builtins__', '_i2', '_dh', 'Container', 'Uid', '_i', '__', 'ConditionalPassage', '__spec__', 'passageUids', 'Box', '__doc__', '__builtin__', 'Story', 'Out', 'AnonymousContainer', 'PagePassage', 'exit', 'story', 'Item', '__loader__', '_i3', 'MockEngine', 'Passage', 'unittest', 'quit', 'get_ipython'])
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sudo -H pip3 install --update spyder
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