
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Question
The following code is used to derive Fibonacci
int fib(int n){
if (n==0)
return 0;
else if (n == 1)
return 1;
else
return fib(n−1) + fib(n−2);
}
Explain why the following RISC-V assembly code works, you need to explain all the details using the comments as hints?
# IMPORTANT! Stack pointer must remain a multiple of 16!!!!
- addi x10,x10,8 # fib(8), you can change it
- fib:
- beq x10, x0, done # If n==0, return 0
- addi x5, x0, 1
- beq x10, x5, done # If n==1, return 1
- addi x2, x2, -16 # Allocate 2 words of stack space
- sd x1, 0(x2) # Save the return address
- sd x10, 8(x2) # Save the current n
- addi x10, x10, -1 # x10 = n-1
- jal x1, fib # fib(n-1)
- ld x5, 8(x2) # Load old n from the stack
- sd x10, 8(x2) # Push fib(n-1) onto the stack
- addi x10, x5, -2 # x10 = n-2
- jal x1, fib # Call fib(n-2)
- ld x5, 8(x2) # x5 = fib(n-1)
- add x10, x10, x5 # x10 = fib(n-1)+fib(n-2)
- # Clean up:
- ld x1, 0(x2) # Load saved return address
- addi x2, x2, 16 # Pop two words from the stack
- done:
- jalr x0, 0(x1)
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