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Ingy döt Net 2013-04-10 23:57:08 -07:00
parent 47bf37c096
commit b83f433714
12433 changed files with 156208 additions and 123 deletions
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Task/Numerical-integration/Python/numerical-integration-2.py Normal file
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for a, b, steps, func in ((0., 1., 100, cube), (1., 100., 1000, reciprocal)):
for rule in (left_rect, mid_rect, right_rect, trapezium, simpson):
print('%s integrated using %s\n from %r to %r (%i steps) = %r' %
(func.__name__, rule.__name__, a, b, steps,
integrate( func, a, b, steps, rule)))
a, b = Fraction.from_float(a), Fraction.from_float(b)
for rule in (left_rect, mid_rect, right_rect, trapezium, simpson):
print('%s integrated using %s\n from %r to %r (%i steps and fractions) = %r' %
(func.__name__, rule.__name__, a, b, steps,
float(integrate( func, a, b, steps, rule))))
# Extra tests (compute intensive)
for a, b, steps, func in ((1., 5000., 5000000, identity),
(1., 6000., 6000000, identity)):
for rule in (left_rect, mid_rect, right_rect, trapezium, simpson):
print('%s integrated using %s\n from %r to %r (%i steps) = %r' %
(func.__name__, rule.__name__, a, b, steps,
integrate( func, a, b, steps, rule)))
a, b = Fraction.from_float(a), Fraction.from_float(b)
for rule in (left_rect, mid_rect, right_rect, trapezium, simpson):
print('%s integrated using %s\n from %r to %r (%i steps and fractions) = %r' %
(func.__name__, rule.__name__, a, b, steps,
float(integrate( func, a, b, steps, rule))))