I have to write a program using IAS Instruction set for multiplying two 2*2 matrices and store the result in another matrix C. I saw a program posted by another guy for matrix addition:
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* Initialize a variable 'count' to 999
Label: TOP
00000001 LOAD M(A[count]) Transfer M(A[count]) to the accumulator
00000101 ADD M(B[count]) Add M(B[count]) to AC and store result in AC
00100001 STOR M(C[count]) Transfer contents of accumulator to memory location C[count]
00001010 LOAD M(address of count) Transfer the contents of M(address of count) to the AC
00000110 SUB M(the number 1) Subtract one from AC and store in AC
00100001 STOR M(D) Transfer contents of AC to location M(D)
00001111 JUMP+ M(X,0:19) If number in accumulator is non-negative take next
instruction from left half of M(X)
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How do we initialize a variable 'count' to 999?
Answer: IAS doesn't have immediates, but assumes that memory has already the correct constants somewhere, just as it is assumed that the memory has somehow the program.
Hack: It is possible to use otherwise unused bits of e.g.
LorAC <<= 1instruction, but one would be required to waste 6 instructions to encode the value 999 there:Effectively this would subtract (garbage + 1998) - (garbage + 999) => 999
Other hacks would also need to rely on instructions being encoded with non-zero values, then forcing a negative value to be produced, and repeatedly shifting it right to form the constant -1.