The least number of temporary variables required to create a three-ad...
In compiler design, static single assignment form (often abbreviated as SSA form or simply SSA) is a property of an intermediate representation (IR), which requires that each variable is assigned exactly once, and every variable is defined before it is used. Existing variables in the original IR are split into versions, new variables.
We will need a temporary variable for storing the result of each binary operation as SSA (Static Single Assignment) implies the variable cannot be repeated on LHS of assignment.
t1 = d^f
t2 = a*b
t3 = t1*g
t4 = t2-c
t5 = t4-t3
Hence 5 temporary variables required.
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The least number of temporary variables required to create a three-ad...
To create a three-address code in static single assignment (SSA) form for the expression "a*b c-d^f*g", we need to determine the minimum number of temporary variables required.
The expression can be broken down into several sub-expressions:
1. Multiply a and b: temp1 = a * b
2. Subtract d from c: temp2 = c - d
3. Multiply f and g: temp3 = f * g
4. Compute the power of temp3 and temp2: temp4 = temp2 ^ temp3
5. Subtract temp4 from temp1: temp5 = temp1 - temp4
Thus, we require a total of 5 temporary variables (temp1, temp2, temp3, temp4, and temp5) to represent the expression "a*b c-d^f*g" in three-address code in SSA form.
Explanation:
1. We start by calculating the product of a and b, which is stored in temp1.
2. Next, we subtract d from c and store the result in temp2.
3. Then, we multiply f and g, storing the product in temp3.
4. We compute the power of temp3 and temp2, storing the result in temp4.
5. Finally, we subtract temp4 from temp1 and store the final result in temp5.
Each temporary variable represents an intermediate result in the computation of the expression. By using these temporary variables, we can break down the expression into simpler sub-expressions and perform the necessary calculations step by step. This helps in optimizing the code and reducing redundancy.
In this case, the expression "a*b c-d^f*g" involves multiple operations and sub-expressions. By using 5 temporary variables, we can represent the expression in a three-address code in SSA form without any redundancies or unnecessary computations.