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sav08:sign_analysis_of_expressions_and_programs [2008/05/06 23:50] vkuncak |
sav08:sign_analysis_of_expressions_and_programs [2008/05/07 00:03] vkuncak |
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| Suppose we want to test quickly whether the result of an expression is positive, negative or zero. | Suppose we want to test quickly whether the result of an expression is positive, negative or zero. | ||
| - | What is the sign of | + | What is (quickly) the sign of |
| \[ | \[ | ||
| (31283321 + 8629184) \times (-34234) \times (-4 + (123123 \times (-3))) | (31283321 + 8629184) \times (-34234) \times (-4 + (123123 \times (-3))) | ||
| Line 11: | Line 11: | ||
| \[ | \[ | ||
| (pos \oplus pos) \otimes neg \otimes (neg \oplus (pos \otimes neg)) = pos \otimes neg \otimes neg = pos | (pos \oplus pos) \otimes neg \otimes (neg \oplus (pos \otimes neg)) = pos \otimes neg \otimes neg = pos | ||
| + | \] | ||
| + | ++++ | ||
| + | |||
| + | What is (quickly) the sign of | ||
| + | \[ | ||
| + | (28166461706 + (723497 \times (- 38931))) \times 42 | ||
| + | \] | ||
| + | ++++| | ||
| + | \[ | ||
| + | (pos \oplus (pos \otimes neg)) \otimes pos = (pos \oplus neg) \otimes pos = ? \otimes pos = ? | ||
| \] | \] | ||
| ++++ | ++++ | ||