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| 1 | +# This program fills an n by n matrix A with Fibonacci numbers, then computes the matrix product A*A. |
| 2 | + |
| 3 | + addi $4, $0, 4 # size of square matrix |
| 4 | + |
| 5 | + # number of generating Fibonacci-numbers |
| 6 | + mult $4, $4 |
| 7 | + mflo $16 |
| 8 | + addi $10, $16, 0 |
| 9 | + |
| 10 | + addi $1, $0, 1 # initializing Fib(-1) = 0 |
| 11 | + addi $2, $0, 1 # initializing Fib(0) = 1 |
| 12 | + addi $11, $0, 2000 # initializing the beginning of Data Section address in memory |
| 13 | + addi $15, $0, 4 # word size in byte |
| 14 | + |
| 15 | +loop: addi $3, $2, 0 # temp = Fib(n-1) |
| 16 | + add $2, $2, $1 # Fib(n)=Fib(n-1)+Fib(n-2) |
| 17 | + addi $1, $3, 0 # Fib(n-2)=temp=Fib(n-1) |
| 18 | + mult $10, $15 # $lo=4*$10, for word alignment |
| 19 | + mflo $12 # assume small numbers |
| 20 | + add $13, $11, $12 # Make data pointer [2000+($10)*4] |
| 21 | + sw $2, -4($13) # Mem[$10+2000-4] <-- Fib(n) |
| 22 | + addi $10, $10, -1 # loop index |
| 23 | + bne $10, $0, loop |
| 24 | + |
| 25 | + # Pass matrix parameters |
| 26 | + addi $5, $11, 0 |
| 27 | + addi $6, $11, 0 |
| 28 | + sll $7, $16, 2 |
| 29 | + add $7, $11, $7 |
| 30 | + |
| 31 | + jal multiply |
| 32 | +EoP: beq $0, $0, EoP # End of program (infinite loop) |
| 33 | + |
| 34 | +# n = $4 |
| 35 | +# &a = $5 |
| 36 | +# &b = $6 |
| 37 | +# &c = $7 |
| 38 | +# |
| 39 | +# Pseudo-code: |
| 40 | +# for (int i = 0; i < n; ++i) { |
| 41 | +# for (int j = 0; j < n; ++j) { |
| 42 | +# c[i][j] = 0; |
| 43 | +# for (int k = 0; k < n; ++k) { |
| 44 | +# c[i][j] += a[i][k] * b[k][j]; |
| 45 | +# } |
| 46 | +# } |
| 47 | +# } |
| 48 | +multiply: sll $16, $4, 2 |
| 49 | + addi $8, $0, 0 # i = 0 |
| 50 | +loop1: beq $8, $16, end1 |
| 51 | + addi $9, $0, 0 # j = 0 |
| 52 | +loop2: beq $9, $16, end2 |
| 53 | + addi $10, $0, 0 # k = 0 |
| 54 | + addi $11, $0, 0 # c[i][j] = 0 |
| 55 | +loop3: beq $10, $16, end3 |
| 56 | + |
| 57 | + # Compute &a[i][k] |
| 58 | + mult $10, $4 |
| 59 | + mflo $13 |
| 60 | + add $12, $5, $8 |
| 61 | + add $12, $12, $13 |
| 62 | + |
| 63 | + # Load a[i][k] |
| 64 | + lw $14, 0($12) |
| 65 | + |
| 66 | + # Compute &b[k][j] |
| 67 | + mult $9, $4 |
| 68 | + mflo $13 |
| 69 | + add $12, $6, $10 |
| 70 | + add $12, $12, $13 |
| 71 | + |
| 72 | + # Load b[k][j] |
| 73 | + lw $15, 0($12) |
| 74 | + |
| 75 | + # c[i][j] += a[i][k] * b[k][j] |
| 76 | + mult $14, $15 |
| 77 | + mflo $14 |
| 78 | + add $11, $11, $14 |
| 79 | + |
| 80 | + # ++k |
| 81 | + addi $10, $10, 4 |
| 82 | + |
| 83 | + j loop3 |
| 84 | + |
| 85 | + # Compute &c[i][j] |
| 86 | +end3: mult $9, $4 |
| 87 | + mflo $13 |
| 88 | + add $12, $7, $8 |
| 89 | + add $12, $12, $13 |
| 90 | + |
| 91 | + # Store c[i][j] |
| 92 | + sw $11, 0($12) |
| 93 | + |
| 94 | + # ++j |
| 95 | + addi $9, $9, 4 |
| 96 | + |
| 97 | + j loop2 |
| 98 | + |
| 99 | + # ++i |
| 100 | +end2: addi $8, $8, 4 |
| 101 | + |
| 102 | + j loop1 |
| 103 | + |
| 104 | +end1: jr $31 |
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