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Using bisect for linear interpolation
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#!/usr/bin/env python | |
# encoding: utf-8 | |
from bisect import bisect | |
# Roark's Table 26, Case 10, with three edges fixed | |
# a / b, and b1 are defined as lists below: | |
a_by_b = [0.25, 0.50, 0.75, 1.00, 1.50, 2.00, 3.00] | |
b1 = [0.020, 0.081, 0.173, 0.321, 0.727, 1.226, 2.105] | |
a, b = input("Enter a, b: ") | |
abyb = float(a) / b | |
try: | |
i = a_by_b.index(abyb) | |
beta1 = b1[i] | |
except ValueError: | |
# a/b did not match any value in a_by_b | |
i = bisect(a_by_b, abyb) | |
j = i - 1 | |
P = b1[i] - b1[j] | |
q = (abyb - a_by_b[j]) | |
Q = (a_by_b[i] - a_by_b[j]) | |
beta1 = b1[j] + (P * q / Q) | |
finally: | |
print "a/b : ", round(abyb, 2) | |
print "Index of a/b ratio: ", i | |
print "beta1 : ", beta1 | |
pass |
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