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a.) Give a short sequence of machine instructions for the task "Add the contents of memory location A to those of memory location B, and place the answer in location C". You have available the following instructions:
Load Ri, LOC
Store Ri, LOC
which are the only instructions to transfer data between the memory and the general purpose registers. After operands have been loaded from memory into processor registers, arithmetic computation can be performed, using the instructions:
ADD Ri, Rj, Rk
SUB Ri, Rj, Rk
where i, j, k need not be distinct. Do not change the content of either location A or B.
b.) Suppose now that you have Move and Add instructions available with the formats:
Move LOC1, LOC2
ADD LOC1, LOC2
These instructions move or add a copy of the operand at the second location to the first location, overwriting the original operand at the first location. Either or both of the operands can be in the memory or the general purpose registers. Is it possible to use fewer instructions of these types to accomplish the task of part (a)? If yes, give the sequence.
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How to solve the problems
Code and test Jacobi and Gauss-Sidel solvers for arbitrary diagonally dominant linear systems.
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