Lecture 7: MIPS Functions Part 2. Nested Function Calls. Lecture 7: Character and String Operations. SPIM Syscalls. Recursive Functions
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1 Part Part
2 Part What if we need to call a function inside of a function? Will this work? int twofun(int a, int b) { int res; res = addfun(a, b) a / ; return res; } twofun: addi $sp, $sp, -4 sw $s0, 0($sp) jal addfun srl $s0, $a0, 1 sub $v0, $v0, $s0 lw $s0, 0($sp) addi $sp, $sp, 4 jr $ra
3 Part The problem arises when the value of $ra changes after using jal How can we deal with this?
4 Part The problem arises when the value of $ra changes after using jal How can we deal with this? Save $ra to the stack before calling jal, then restore $ra before calling jr $ra twofun: addi $sp, $sp, -4 sw $s0, 0($sp) jal addfun srl $s0, $a0, 1 sub $v0, $v0, $s0 lw $s0, 0($sp) addi $sp, $sp, 4 jr $ra
5 Part twofun1: addi $sp, $sp, -4 sw $s0, 0($sp) addi $sp, $sp, -4 sw $ra, 0($sp) jal addfun srl $s0, $a0, 1 sub $v0, $v0, $s0, lw $ra, 0($sp) addi $sp, $sp, 4 lw $s0, 0($sp) addi $sp, $sp, 4 twofun: addi $sp, $sp, -8 sw $s0, 4($sp) sw $ra, 0($sp) jal addfun srl $s0, $a0, 1 sub $v0, $v0, $s0, lw $ra, 0($sp) lw $s0, 4($sp) addi $sp, $sp, 8 jr $ra jr $ra
6 Saving Registers Part Programmer should perform the following before calling nested functions: Save $t0 - $t9 (if needed later) Save $a0 - $a3 (if needed later) Save $ra (Will be needed later, and will be modified by jal) Save $s0 - $s7
7 Question 1 Part Which of the following statements are true about the stack? (a) If a function does not call another function, it does not have to save $ra on the stack (b) If $sp is modified inside the function, it must be saved on the stack (c) If a function calls another function, it must save $v0 on the stack (d) None of the above
8 Question 1 Part Which of the following statements are true about the stack? (a) If a function does not call another function, it does not have to save $ra on the stack
9 Question Part Suppose a function P10 funct0 calls P10 funct1 as shown below, while P10 funct0 is written according to conventions and has no bugs. Which of the following statements is true? P10_funct1: addi $sp, $sp, -4 sw $ra, 0($sp jal P10_funct lw $ra, 0($sp) jr $ra (a) P10 funct1 can return to P10 funct0 correctly (b) P10 funct0 cannot return to its caller correctly (c) Both of the above (d) None of the above
10 Question Part Suppose a function P10 funct0 calls P10 funct1 as shown below, while P10 funct0 is written according to conventions and has no bugs. Which of the following statements is true? P10_funct1: addi $sp, $sp, -4 sw $ra, 0($sp jal P10_funct lw $ra, 0($sp) jr $ra (c) Both of the above
11 Part Characters are encoded as 0 s and 1 s, most commonly using ASCII ASCII: American Standard Coded for Information Interchange Each character is represented using 8 bits (1 byte) provides instructions to move bytes (instead of words) Load byte (lb) loads a byte to the rightmost 8 bits of a register Store byte (sb) writes the rightmost 8 bits of a register to memory
12 Part Syscalls in let us perform OS-like system calls li $v0,1 # print an integer in $a0 li $a0,100 syscall li $v0,5 # read an integer into $v0 syscall li $v0,4 # print an ASCIIZ string at $a0 la $a0,msg_hello syscall li $v0,10 syscall #exit
13 Copy example Part void strcpy(char x[], char y[]) { int i; i = 0; while((x[i] = y[i])!= 0) i = i + 1; }
14 Copy example Part.data msg hello:.asciiz Hello\n msg empty:.space 400.text.globl main Main: li $v0,4 la $a0,msg hello syscall li $v0,4 la $a0,msg empty syscall la $a0,msg empty #dst la $a1,msg hello #src jal strcpy li $v0,4 la $a0,msg empty syscall li $v0,10 #exit syscall strcpy: lb $t0, 0($a1) sb $t0, 0($a0) addi $a0, $a0, 1 addi $a1, $a1, 1 bne $t0, $0, strcpy jr $ra
15 Stack Review Part Stack is a software concept last in, first out In, the programmer must maintain the stack by pointing the $sp to the top element Stack is used in functions to save/load register values There are other methods to store/load register values You can use the stack for other purposes too!
16 Copy example Part.data msg:.asciiz hello world endl:.asciiz \n.text.globl main main: addi $sp,$sp, 1 sb $0,0($sp) la $t1, msg L0: lb $t0,0($t1) beq $t0,$0, L1 addi $sp,$sp, 1 sb $t0,0($sp) addi $t1,$t1,1 j L0 L1: la $t1,msg L: lb $t0,0($sp) addi $sp,$sp,1 sb $t0,0($t1) beq $t0, $0, L3 j L addi $t1,$t1,1 L3: la $a0,msg li $v0,4 syscall la $a0,endl li $v0,4 syscall li $v0,10 #exit syscall
17 Part We now know how to write: A simple function A simple function that utilizes the stack to save/restore values A function that calls another function Now lets extend the third part by writing a recursive function
18 Part relations exist naturally Factorial: n! = n (n 1) (n ) 1 = n (n 1)! Fibonacci: F (n) = F (n 1) + F (n )
19 Factorial Example Part How are recursive relations implements in programs? In C: int fact(int n) { int res; if (n <= 1) res = 1; else res = n fact(n 1); return res; }
20 Implementing a Function Part It is recursive it calls itself It continues to call itself until a terminating condition is met This is very similar to writing a loop
21 Implementing a Function Part First, let s assume we have a function fact nm1 that calculates the factorial The initial goal is to implement the recursive part Easy: subtract n by 1, call fact nm1, then multiply n by $v0, i.e. (n-1)! fact: addi $a0, $a0, -1 jal fact_nm1 mul $v0, $v0, $a0 jr $ra
22 Implementing a Function Part This will not work $ra and $a0 are modified within the calling function fact: addi $sp, $sp, -8 sw $ra, 4($sp) sw $a0, 0($sp) addi $a0, $a0, -1 jal fact_nm1 lw $ra, 4($sp) lw $a0, 0($sp) addi $sp, $sp, 8 mul $v0, $v0, $a0 jr $ra
23 Implementing a Function Part Now let s implement the base case: n fact: addi $sp, $sp, -8 sw $ra, 4($sp) sw $a0, 0($sp) slti $t0, $a0, beq $t0, $0, fact_l1 ori $v0, $0, 1 lw $ra, 4($sp) lw $a0, 0($sp) addi $sp, $sp, 8 jr $ra fact_l1:addi $a0, $a0, -1 jal fact lw $ra, 4($sp) lw $a0, 0($sp) addi $sp, $sp, 8 mul $v0, $v0, $a0 jr $ra
24 Implementing a Function Part What happens if we call fact(3)? First call, compare 3 with 1, call fact() - Second call, compare with 1, call fact(1) Third call, compare 1 with 1, return 1 - Multiply with 1, return Multiply 3 with, return 6
25 The Stack During Recursion Part
26 Two Other Pointers Part $fp - The frame pointer points to the first word used by a function. When you call a C function, the function may declare an array of size 100 (i.e. A[100]). This will be on the stack. You can access it, but the stack pointer may keep changing. $gp - The global pointer is used to access the static data (i.e. the.data section)
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