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| Strength Reduction |
| ------------------ |
| |
| Strength reduction replaces an expansive operation by a cheaper one, such as |
| multiplication by addition or subtraction, multiplication instead of |
| exponentiation; use compound assignment operators such as += wherever possible, |
| changing code of the form a[i] = a[i] + x to a[i] += x, since they result in |
| fewer bytecode instructions; use shifts instead of multiplication by powers of |
| two, etc. |
| |
| For example: |
| |
| x ** 2 = x * x |
| 2.0 * x = x + x |
| x / 2 = x * 0.5 |
| |
| |
| Induction Variable |
| ------------------ |
| |
| A variable is called an induction variables of a loop if every time the variable |
| changes values it is incremented or decrmented by some constant. |
| Basic induction variables i whose only assignments within the loop is of the |
| form i += c, where c is a constant. |