Use the information given in the last section, in order to write a piece of code that when executed puts the current values of ap, fp and pc in memory (say, write ap into [ap], fp into [ap + 1] and pc into [ap + 2]).
Starknet
Cairo’s Function Exercise I
Compile and run (with at least 10 steps) the following code. Use the –print_memory and –relocate_prints flags for cairo-run.
func main():
call foo
call foo
call foo
ret
end
func foo():
[ap] = 1000; ap++
ret
end
Try to think what happens when the cpu gets to the ret instruction (which of the registers ap, fp, pc should change when ret is executed and to what values?).
Cario’s Reassigned and Revoked Reference Example
The example code found on this section of the Cairo docs helps us understand why references created with the let keyword are fundamentally different to values created with the tempvar and local keywords and why references are sometimes revoked when performing jumps.
func foo(x):
let y = 1
jmp x_not_zero if x != 0
x_is_zero:
[ap] = y; ap++ # y == 1.
let y = 2
[ap] = y; ap++ # y == 2.
jmp done
x_not_zero:
[ap] = y; ap++ # y == 1.
let y = 3
[ap] = y; ap++ # y == 3.
done:
# Here, y is revoked, and cannot be accessed.
ret
end
Cairo’s Local Variables Exercise II
Can you spot an inefficiency in the following code? Hint: take a look here. Fix the inefficiency in two ways (implement each of the following fixes separately):
- Move the instruction alloc_locals.
- Use tempvar instead of local.
func pow4(n) -> (m : felt):
alloc_locals
local x
jmp body if n != 0
[ap] = 0; ap++
ret
body:
x = n * n
[ap] = x * x; ap++
ret
end
func main():
pow4(n=5)
ret
end
Cairo’s Local Variables Exercise I
What’s wrong with the following code? (Hint: try to replace ap += SIZEOF_LOCALS with alloc_locals and see what happens) Can you fix it without changing the order of the variable definitions in the code?
func main():
tempvar x = 0
local y
ap += SIZEOF_LOCALS
y = 6
ret
end
Cairo’s Temporary Variables Exercise
Rewrite the solution to Exercise – A simple Cairo program using temporary variables.
func main():
[ap] = 100; ap++
[ap] = [ap - 1] * [ap - 1]; ap++ # x * x (x^2)
[ap] = [ap - 1] * [ap - 2]; ap++ # x^2 * x (x^3)
[ap] = [ap - 2] * 23; ap++ # x^2 * 23
[ap] = [ap - 4] * 45; ap++ # x * 45
[ap] = [ap - 3] + [ap - 2]; ap++ # x^3 + x^2 * 23
[ap] = [ap - 1] + [ap - 2]; ap++ # x^3 + x^2 * 23 + x * 45
[ap] = [ap - 1] + 67; ap++ # x^3 + x^2 * 23 + x * 45 + 67
ret
end
Cairo’s Revoked Reference Exercise
Run the following code, with –steps=32 –print_memory and explain what happens.
func main():
let x = [ap]
[ap] = 1; ap++
[ap] = 2; ap++
[ap] = x; ap++
jmp rel -1 # Jump to the previous instruction.
end
Cairo’s Relative Jump Exercise
What happens in the following code? (you can start by running it and looking at the memory; note that you will need the –no_end flag)
func main():
[fp + 1] = 2; ap++
[fp] = 5201798304953761792; ap++
jmp rel -1
end
Cairo’s Labeled Jump Exercise II
Edit the loop my_loop in the exercise below so that it starts by writing 10 to [ap], continues by writing the decreasing sequence and then returns. Don’t forget the ret instruction. Verify that your code works as expected by looking at the memory.
func main():
[ap] = 2; ap++
my_loop:
[ap] = [ap - 1] * [ap - 1]; ap++
[ap] = [ap - 1] + 1; ap++
jmp my_loop
end
Cairo’s Labeled Jump Exercise I
What does the following code do? (run with –no_end –step=16 to avoid the End of program was not reached error)
func main():
[ap] = 2; ap++
my_loop:
[ap] = [ap - 1] * [ap - 1]; ap++
[ap] = [ap - 1] + 1; ap++
jmp my_loop
end
Cairo’s Continuous Memory Exercise II
What’s wrong with the following code?
func main():
[ap] = 300
[ap + 10000000000] = 400
ret
end
Cairo’s Continuous Memory Exercise I
Run the following program:
func main():
[ap] = 100
[ap + 2] = 200
ret
end
Explain why the execution of this program creates a memory gap, and therefore an inefficiency (given what you’ve just read in the above section). Add one instruction at the end of the function (just before ret) so that there won’t be a memory gap.
Cairo’s Polynomial Exercise
Write a program poly.cairo that computes the expression x^3 + 23*(x^2) + 45*x + 67 where x = 100
func main():
[ap] = 100; ap++
# << Your code here >>
ret
end
Starknet’s Architecture Review
The architecture shown in this article has inaccuracies. Do not use it as a reference until updated (if ever). In the meantime, refer to the official Starknet docs.
tl;dr
- Starknet’s user accounts (wallets) are implemented as smart contracts.
- The system has 3 off-chain components (Sequencer, Prover and Full Nodes) and 2 on-chain (Verifier and Core).
- The current system architecture is able to handle more transactions than Ethereum but with a higher delay for finality.
- A dual checkpoint mechanism has been proposed to reduce time to finality without compromising cost.
- An L2 transaction can be on any of these states: NOT_RECEIVED, RECEIVED, PENDING, ACCEPTED_ON_L2, ACCEPTED_ON_L1 or REJECTED.