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Exercise 1.7
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;; good-enough? | |
The good-enough? test used in computing square roots will not be very effective for | |
finding the square roots of very small numbers. Also, in real computers, arithmetic operations are | |
almost always performed with limited precision. This makes our test inadequate for very large | |
numbers. Explain these statements, with examples showing how the test fails for small and large | |
numbers. An alternative strategy for implementing good-enough? is to watch how guess changes | |
from one iteration to the next and to stop when the change is a very small fraction of the guess. Design | |
a square-root procedure that uses this kind of end test. Does this work better for small and large | |
numbers? |
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