diff --git a/.tool-versions b/.tool-versions index c851524..e14f110 100644 --- a/.tool-versions +++ b/.tool-versions @@ -1 +1 @@ -scarb nightly-2025-06-07 \ No newline at end of file +scarb 2.14.0 \ No newline at end of file diff --git a/Makefile b/Makefile index 7a9cd51..f1d8e91 100644 --- a/Makefile +++ b/Makefile @@ -1,11 +1,11 @@ TARGET_DIR = target +PROVING_UTILS_REV=efbaeebfdce3463aa61e16d7d8e6069f03df0994 -install-cairo-prove: - RUSTFLAGS="-C target-cpu=native -C opt-level=3" \ - cargo install \ - --git https://github.com/starkware-libs/stwo-cairo \ - --rev adc68829b0e913d5a8bdf14932a45fde27a2e335 \ - cairo-prove +install-stwo-run-and-prove: + cargo +nightly-2025-07-14 install \ + --git ssh://git@github.com/m-kus/proving-utils.git \ + --rev $(PROVING_UTILS_REV) \ + stwo_run_and_prove --force falcon-execute: rm -rf $(TARGET_DIR)/execute/falcon \ @@ -19,14 +19,14 @@ falcon-args: falcon-build: scarb --profile release build --package falcon -falcon-prove: falcon-build - rm -rf $(TARGET_DIR)/execute/falcon - mkdir -p $(TARGET_DIR)/execute/falcon - cairo-prove prove \ - $(TARGET_DIR)/release/falcon.executable.json \ - $(TARGET_DIR)/execute/falcon/proof.json \ - --arguments-file packages/falcon/tests/data/args_512_1.json \ - --proof-format cairo-serde +falcon-prove: + stwo_run_and_prove \ + --program resources/simple_bootloader_compiled.json \ + --program_input packages/falcon/proving_task.json \ + --prover_params_json prover_params.json \ + --proofs_dir $(TARGET_DIR) \ + --proof-format cairo-serde \ + --verify falcon-burn: scarb burn --package falcon \ @@ -52,11 +52,11 @@ sphincs-burn: sphincs-build --arguments-file packages/sphincs-plus/tests/data/sha2_simple_128s.json \ --open-in-browser -sphincs-prove: sphincs-build - rm -rf $(TARGET_DIR)/execute/sphincs_plus - mkdir -p $(TARGET_DIR)/execute/sphincs_plus - cairo-prove prove \ - $(TARGET_DIR)/release/sphincs_plus.executable.json \ - $(TARGET_DIR)/execute/sphincs_plus/proof.json \ - --arguments-file packages/sphincs-plus/tests/data/sha2_simple_128s.json \ - --proof-format cairo-serde +sphincs-prove: + stwo_run_and_prove \ + --program resources/simple_bootloader_compiled.json \ + --program_input packages/sphincs-plus/proving_task.json \ + --prover_params_json prover_params.json \ + --proofs_dir $(TARGET_DIR) \ + --proof-format cairo-serde \ + --verify diff --git a/packages/falcon/proving_task.json b/packages/falcon/proving_task.json new file mode 100644 index 0000000..b267b80 --- /dev/null +++ b/packages/falcon/proving_task.json @@ -0,0 +1,9 @@ +{ + "single_page": true, + "tasks": [{ + "type": "Cairo1Executable", + "path": "target/release/falcon.executable.json", + "program_hash_function": "blake", + "user_args_file": "packages/falcon/tests/data/args_512_1.json" + }] +} \ No newline at end of file diff --git a/packages/falcon/src/lib.cairo b/packages/falcon/src/lib.cairo index 4afca11..0e1866c 100644 --- a/packages/falcon/src/lib.cairo +++ b/packages/falcon/src/lib.cairo @@ -25,8 +25,10 @@ fn main(args: Args) { let Args { attestations, n } = args; println!("Verifying {} signatures", attestations.len()); - for attestation in attestations { - falcon::verify_uncompressed::<512>(attestation.s1, attestation.pk, attestation.msg_point, n) + for attestation in attestations.span() { + falcon::verify_uncompressed::< + 512, + >(*attestation.s1, *attestation.pk, *attestation.msg_point, n) .expect('Invalid signature'); } println!("OK"); diff --git a/packages/sphincs-plus/proving_task.json b/packages/sphincs-plus/proving_task.json new file mode 100644 index 0000000..fc14ac7 --- /dev/null +++ b/packages/sphincs-plus/proving_task.json @@ -0,0 +1,9 @@ +{ + "single_page": true, + "tasks": [{ + "type": "Cairo1Executable", + "path": "target/release/sphincs_plus.executable.json", + "program_hash_function": "blake", + "user_args_file": "packages/sphincs-plus/tests/data/sha2_simple_128s.json" + }] +} \ No newline at end of file diff --git a/packages/sphincs-plus/src/hasher.cairo b/packages/sphincs-plus/src/hasher.cairo index 31fe6a1..086aaa3 100644 --- a/packages/sphincs-plus/src/hasher.cairo +++ b/packages/sphincs-plus/src/hasher.cairo @@ -8,11 +8,11 @@ mod sha256; // Cairo-friendly hash function (custom AIR in Stwo) #[cfg(feature: "blake_hash")] -pub use blake2s::{HashState, hash_finalize, hash_init, hash_update}; +pub use blake2s::{HashState, hash_finalize, hash_init, hash_update, hash_update_block}; // Default hash function according to the sha256-128s parameters. #[cfg(not(feature: "blake_hash"))] -pub use sha256::{HashState, hash_finalize, hash_init, hash_update}; +pub use sha256::{HashState, hash_finalize, hash_init, hash_update, hash_update_block}; // Imports. use crate::address::{Address, AddressTrait, AddressType}; @@ -32,13 +32,10 @@ pub struct SpxCtx { /// This initializes state_seeded and state_seeded_512, which can then be /// reused input thash pub fn initialize_hash_function(pk_seed: HashOutput) -> SpxCtx { - let mut data = pk_seed.span().into(); - data.append_span(array![0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0].span()); - let mut state: HashState = Default::default(); + let [a, b, c, d] = pk_seed; hash_init(ref state); - hash_update(ref state, data.span()); - + hash_update_block(ref state, [a, b, c, d, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]); SpxCtx { state_seeded: state } } diff --git a/packages/sphincs-plus/src/hasher/blake2s.cairo b/packages/sphincs-plus/src/hasher/blake2s.cairo index b81344d..9a3bca5 100644 --- a/packages/sphincs-plus/src/hasher/blake2s.cairo +++ b/packages/sphincs-plus/src/hasher/blake2s.cairo @@ -28,6 +28,15 @@ pub fn hash_init(ref state: HashState) { state.byte_len = 0; } +pub fn hash_update_block(ref state: HashState, data: [u32; 16]) { + state.byte_len += 64; + state.h = blake2s_compress(state.h, state.byte_len, BoxImpl::new(data)); +} + +pub fn hash_finalize_block(ref state: HashState, data: [u32; 16]) -> [u32; 8] { + blake2s_finalize(state.h, state.byte_len + 64, BoxImpl::new(data)).unbox() +} + /// Updates the Blake2s hasher state with the given data (data length must be a multiple of 16). pub fn hash_update(ref state: HashState, mut data: Span) { while let Some(chunk) = data.multi_pop_front::<16>() { @@ -59,13 +68,13 @@ pub fn hash_finalize( buffer.append(last_input_word * 0x100); } + state.byte_len += buffer.len() * 4; + for _ in buffer.len()..16 { buffer.append(0); } let msg = buffer.span().try_into().expect('Cast to @Blake2sInput failed'); - state.byte_len += 64; - let res = blake2s_finalize(state.h, state.byte_len, *msg); res.unbox() } diff --git a/packages/sphincs-plus/src/hasher/sha256.cairo b/packages/sphincs-plus/src/hasher/sha256.cairo index a5ac30f..b4f35b1 100644 --- a/packages/sphincs-plus/src/hasher/sha256.cairo +++ b/packages/sphincs-plus/src/hasher/sha256.cairo @@ -31,6 +31,12 @@ pub fn hash_update(ref state: HashState, mut data: Span) { state.byte_len += data_len * 4; } +/// Updates the SHA-256 hasher state with the given data (data length must be a multiple of 16). +pub fn hash_update_block(ref state: HashState, data: [u32; 16]) { + state.byte_len += 64; + state.h = sha256_inner(data.span(), state.h); +} + /// Finalizes the SHA-256 hasher state and returns the hash. /// /// Adds padding to the input array for SHA-256. The padding is defined as follows: diff --git a/packages/sphincs-plus/src/lib.cairo b/packages/sphincs-plus/src/lib.cairo index 8c9afdf..141a19e 100644 --- a/packages/sphincs-plus/src/lib.cairo +++ b/packages/sphincs-plus/src/lib.cairo @@ -26,12 +26,12 @@ pub struct Args { fn main(args: Args) { let Args { pk, sig, message } = args; let res = sphincs::verify_128s(message.span(), sig, pk); - // TODO: generate a valid signature for blake_hash check_result(res); } #[cfg(feature: "blake_hash")] -fn check_result(res: bool) {} +fn check_result(res: bool) { // TODO: generate a valid signature for blake_hash +} #[cfg(not(feature: "blake_hash"))] fn check_result(res: bool) { diff --git a/packages/sphincs-plus/src/sphincs.cairo b/packages/sphincs-plus/src/sphincs.cairo index 24d30ff..3d696bd 100644 --- a/packages/sphincs-plus/src/sphincs.cairo +++ b/packages/sphincs-plus/src/sphincs.cairo @@ -11,20 +11,20 @@ use crate::params_128s::{SPX_D, SPX_DGST_BYTES, SPX_TREE_HEIGHT}; use crate::word_array::{WordArrayTrait, WordSpan, WordSpanTrait}; use crate::wots::{WotsSignature, WotsSignatureDefault, WotsSignatureSerde, wots_pk_from_sig}; -#[derive(Drop, Serde, Default)] +#[derive(Drop, Serde, Default, Copy)] pub struct SphincsSignature { pub randomizer: HashOutput, pub fors_sig: ForsSignature, pub wots_merkle_sig_list: [WotsMerkleSignature; SPX_D], } -#[derive(Drop, Serde, Default)] +#[derive(Drop, Serde, Default, Copy)] pub struct SphincsPublicKey { pub pk_seed: HashOutput, pub pk_root: HashOutput, } -#[derive(Drop, Serde, Default)] +#[derive(Drop, Serde, Default, Copy)] pub struct WotsMerkleSignature { pub wots_sig: WotsSignature, pub auth_path: [HashOutput; SPX_TREE_HEIGHT], diff --git a/prover_params.json b/prover_params.json new file mode 100644 index 0000000..6345db2 --- /dev/null +++ b/prover_params.json @@ -0,0 +1,12 @@ +{ + "channel_hash": "blake2s", + "pcs_config": { + "pow_bits": 26, + "fri_config": { + "log_last_layer_degree_bound": 0, + "log_blowup_factor": 1, + "n_queries": 70 + } + }, + "preprocessed_trace": "canonical_without_pedersen" +} \ No newline at end of file diff --git a/resources/simple_bootloader_compiled.json b/resources/simple_bootloader_compiled.json new file mode 100644 index 0000000..cfdfbfb --- /dev/null +++ b/resources/simple_bootloader_compiled.json @@ -0,0 +1,297715 @@ +{ + "attributes": [], + "builtins": [ + "output", + "pedersen", + "range_check", + "ecdsa", + "bitwise", + "ec_op", + "keccak", + "poseidon", + "range_check96", + "add_mod", + "mul_mod" + ], + "compiler_version": "0.14.0", + "data": [ + "0x40780017fff7fff", + "0xb", + "0x1104800180018000", + "0xc57", + "0x10780017fff7fff", + "0x0", + "0x208b7fff7fff7ffe", + "0x1104800180018000", + "0x800000000000011000000000000000000000000000000000000000000000000", + "0x482480017ffe8000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffff", + "0x208b7fff7fff7ffe", + "0x20780017fff7ffd", + "0x4", + "0x480a7ffb7fff8000", + 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"0x480280377ff48000", + "0x484480017fff8000", + "0x100000000000000", + "0x48307fff7ffd8000", + "0x400280157ffd7fff", + "0x4802802f7ff48000", + "0x480280137ffd8000", + "0x484480017fff8000", + "0x10000", + "0x48307fff7ffd8000", + "0x480280147ffd8000", + "0x484480017fff8000", + "0x100000000000000000000", + "0x48307fff7ffd8000", + "0x480280367ff48000", + "0x484480017fff8000", + "0x1000000000000000000000000000000000000", + "0x40317fff7ffd7ffb", + "0x480280167ffd8000", + "0x4002803a7ff47fff", + "0x480280167ffd8000", + "0x482480017fff8000", + "0xffffffffffffffff0000000000000000", + "0x4002803b7ff47fff", + "0x480280177ffd8000", + "0x4002803c7ff47fff", + "0x480280177ffd8000", + "0x482480017fff8000", + "0xffffffffffffffff0000000000000000", + "0x4002803d7ff47fff", + "0x480280187ffd8000", + "0x4002803e7ff47fff", + "0x480280187ffd8000", + "0x482480017fff8000", + "0xffffffffffffffff0000000000000000", + "0x4002803f7ff47fff", + "0x480280377ff48000", + "0x480280167ffd8000", + "0x484480017fff8000", + "0x100", + "0x48307fff7ffd8000", + "0x480280177ffd8000", + "0x484480017fff8000", + "0x1000000000000000000", + "0x48307fff7ffd8000", + "0x480280187ffd8000", + "0x484480017fff8000", + "0x10000000000000000000000000000000000", + "0x40317fff7ffd7ffc", + "0x482680017ff48000", + "0x40", + "0x208b7fff7fff7ffe", + "0x48297ffd80007ffc", + "0x20680017fff7fff", + "0x3", + "0x208b7fff7fff7ffe", + "0x480280007ffc8000", + "0x480280017ffc8000", + "0x480280027ffc8000", + "0x480280037ffc8000", + "0x480280047ffc8000", + "0x480280057ffc8000", + "0x480280067ffc8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffff7ef", + "0x482680017ffc8000", + "0x7", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffff1", + "0x208b7fff7fff7ffe", + "0x20780017fff7ffd", + "0x4", + "0x10780017fff7fff", + "0x4", + "0x480a7ffd7fff8000", + "0x208b7fff7fff7ffe", + "0x40780017fff7fff", + "0x1", + "0x480a80007fff8000", + "0x208b7fff7fff7ffe", + "0x20780017fff7ffc", + "0x4", + "0x10780017fff7fff", + "0x4", + "0x480a7ffb7fff8000", + "0x208b7fff7fff7ffe", + "0x480a7ffd7fff8000", + "0x480a7ffb7fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffdc", + "0x480a7ffc7fff8000", + "0x208b7fff7fff7ffe", + "0x48297ffc80007ffb", + "0x20680017fff7fff", + "0x5", + "0x480a7ffa7fff8000", + "0x480a7ffd7fff8000", + "0x208b7fff7fff7ffe", + "0x480a7ffa7fff8000", + "0x480280007ffb8000", + "0x480280017ffb8000", + "0x480280027ffb8000", + "0x480280037ffb8000", + "0x480280047ffb8000", + "0x480280057ffb8000", + "0x480280067ffb8000", + "0x480280077ffb8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffe8f", + "0x480280087ffb8000", + "0x480280097ffb8000", + "0x4802800a7ffb8000", + "0x4802800b7ffb8000", + "0x4802800c7ffb8000", + "0x4802800d7ffb8000", + "0x4802800e7ffb8000", + "0x4802800f7ffb8000", + "0x482680017ffd8000", + "0x19", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffe83", + "0x482680017ffb8000", + "0x10", + "0x480a7ffc7fff8000", + "0x482680017ffd8000", + "0x32", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffde", + "0x208b7fff7fff7ffe", + "0x20780017fff7ffd", + "0x4", + "0x10780017fff7fff", + "0x4", + "0x480a7ffd7fff8000", + "0x208b7fff7fff7ffe", + "0x40780017fff7fff", + "0x1", + "0x480a80007fff8000", + "0x208b7fff7fff7ffe", + "0x20780017fff7ffc", + "0x4", + "0x10780017fff7fff", + "0x6", + "0x480a7ff97fff8000", + "0x480a7ffa7fff8000", + "0x480a7ffb7fff8000", + "0x208b7fff7fff7ffe", + "0x40780017fff7fff", + "0x1", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffff4bd", + "0x40137fff7fff8000", + "0x480a7ff97fff8000", + "0x480a7ffd7fff8000", + "0x480a7ffb7fff8000", + "0x480a80007fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffc0", + "0x48127ffe7fff8000", + "0x480a7ffa7fff8000", + "0x480a80007fff8000", + "0x48127ffc7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffffdde", + "0x480a7ffc7fff8000", + "0x208b7fff7fff7ffe", + "0x48297ffd80007ffc", + "0x20680017fff7fff", + "0x5", + "0x480a7ffa7fff8000", + "0x480a7ffb7fff8000", + "0x208b7fff7fff7ffe", + "0x40780017fff7fff", + "0x1", + "0x40780017fff7fff", + "0x1", + "0x480a7ffa7fff8000", + "0x480a7ffb7fff8000", + "0x480280017ffc8000", + "0x480280007ffc8000", + "0x48127ffa7fff8000", + "0x48127ffa7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffff963", + "0x400680017fff7fff", + "0x1", + "0x48127ffd7fff8000", + "0x48127ffd7fff8000", + "0x482680017ffc8000", + "0x2", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffe8", + "0x208b7fff7fff7ffe", + "0x20780017fff7ffd", + "0x4", + "0x10780017fff7fff", + "0x4", + "0x480a7ffd7fff8000", + "0x208b7fff7fff7ffe", + "0x40780017fff7fff", + "0x1", + "0x480a80007fff8000", + "0x208b7fff7fff7ffe", + "0x20780017fff7ffc", + "0x4", + "0x10780017fff7fff", + "0x6", + "0x480a7ff97fff8000", + "0x480a7ffa7fff8000", + "0x480a7ffb7fff8000", + "0x208b7fff7fff7ffe", + "0x480a7ffa7fff8000", + "0x480a7ff97fff8000", + "0x480a7ffd7fff8000", + "0x480a7ffb7fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffcf", + "0x48127ffe7fff8000", + "0x480a7ffc7fff8000", + "0x208b7fff7fff7ffe", + "0x40780017fff7fff", + "0x18", + "0x400b7ff87fff8000", + "0x480a7ff87fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffff65", + "0x40137fff7fff8001", + "0x400b80017fff8002", + "0x400b7ff97fff8003", + "0x480a7ff97fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffff9b", + "0x40137fff7fff8004", + "0x400b80047fff8005", + "0x400b7ff67fff8006", + "0x480a7ff67fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffd6", + "0x40137fff7fff8007", + "0x400b80077fff8008", + "0x480a7ff37fff8000", + "0x480a7ff47fff8000", + "0x480a7ff57fff8000", + "0x480a80077fff8000", + "0x480a7ff77fff8000", + "0x480a80017fff8000", + "0x480a80047fff8000", + "0x480a7ffa7fff8000", + "0x480a7ffb7fff8000", + "0x480a7ffc7fff8000", + "0x480a7ffd7fff8000", + "0x1104800180018000", + "0x800000000000010fffffffffffffffffffffffffffffffffffffffffffff62e", + "0x40137ffb7fff8009", + "0x40137ff77fff800a", + "0x40137ff97fff800b", + "0x40137ff87fff800c", + "0x40137fff7fff800d", + "0x40137ffd7fff800e", + "0x40137ff57fff800f", + "0x40137ff67fff8010", + "0x40137ffc7fff8011", + "0x40137ffe7fff8012", + "0x48127ffa7fff8000", + "0x480a80007fff8000", + "0x480a80027fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffff45", + "0x40137fff7fff8013", + "0x480a800a7fff8000", + "0x480a800b7fff8000", + "0x480a80097fff8000", + "0x480a80037fff8000", + "0x480a80057fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffff79", + "0x40137fff7fff8014", + "0x40137ffd7fff8015", + "0x40137ffe7fff8016", + "0x480a800d7fff8000", + "0x480a800e7fff8000", + "0x480a800c7fff8000", + "0x480a80067fff8000", + "0x480a80087fff8000", + "0x1104800180018000", + "0x800000000000010ffffffffffffffffffffffffffffffffffffffffffffffb0", + "0x40137fff7fff8017", + "0x480a800f7fff8000", + "0x480a80107fff8000", + "0x480a80157fff8000", + "0x480a80177fff8000", + "0x480a80167fff8000", + "0x480a80137fff8000", + "0x480a80147fff8000", + "0x480a80117fff8000", + "0x48127ff67fff8000", + "0x480a80127fff8000", + "0x48127ff37fff8000", + "0x208b7fff7fff7ffe" + ], + "debug_info": { + "file_contents": { + "/var/lib/engflow/worker/exec/bazel-out/k8-opt-exec-4C6BFEDB-ST-03cbce6a7308/bin/src/starkware/cairo/lang/compiler/cairo_compile_exe.runfiles/__main__/src/starkware/cairo/common/alloc.cairo": "// Allocates a new memory segment.\nfunc alloc() -> (ptr: felt*) {\n %{ memory[ap] = segments.add() %}\n ap += 1;\n return (ptr=cast([ap - 1], felt*));\n}\n", + "/var/lib/engflow/worker/exec/bazel-out/k8-opt-exec-4C6BFEDB-ST-03cbce6a7308/bin/src/starkware/cairo/lang/compiler/cairo_compile_exe.runfiles/__main__/src/starkware/cairo/common/bitwise.cairo": "from starkware.cairo.common.cairo_builtins import BitwiseBuiltin\n\nconst ALL_ONES = 2 ** 251 - 1;\n\n// Computes the bitwise operations and, xor and or.\n//\n// Arguments:\n// bitwise_ptr - the bitwise builtin pointer.\n// x, y - the two field elements to operate on, in this order. Both inputs should be 251-bit\n// integers, and are taken as unsigned ints.\n//\n// Returns:\n// x_and_y = x & y (bitwise and).\n// x_xor_y = x ^ y (bitwise xor).\n// x_or_y = x | y (bitwise or).\nfunc bitwise_operations{bitwise_ptr: BitwiseBuiltin*}(x: felt, y: felt) -> (\n x_and_y: felt, x_xor_y: felt, x_or_y: felt\n) {\n bitwise_ptr.x = x;\n bitwise_ptr.y = y;\n let x_and_y = bitwise_ptr.x_and_y;\n let x_xor_y = bitwise_ptr.x_xor_y;\n let x_or_y = bitwise_ptr.x_or_y;\n let bitwise_ptr = bitwise_ptr + BitwiseBuiltin.SIZE;\n return (x_and_y=x_and_y, x_xor_y=x_xor_y, x_or_y=x_or_y);\n}\n\n// Computes the bitwise and of two inputs.\n//\n// Arguments:\n// bitwise_ptr - the bitwise builtin pointer.\n// x, y - the two field elements to operate on, in this order. Both inputs should be 251-bit\n// integers, and are taken as unsigned ints.\n//\n// Returns:\n// x_and_y = x & y (bitwise and).\nfunc bitwise_and{bitwise_ptr: BitwiseBuiltin*}(x: felt, y: felt) -> (x_and_y: felt) {\n bitwise_ptr.x = x;\n bitwise_ptr.y = y;\n let x_and_y = bitwise_ptr.x_and_y;\n let x_xor_y = bitwise_ptr.x_xor_y;\n let x_or_y = bitwise_ptr.x_or_y;\n let bitwise_ptr = bitwise_ptr + BitwiseBuiltin.SIZE;\n return (x_and_y=x_and_y);\n}\n\n// Computes the bitwise xor of two inputs.\n//\n// Arguments:\n// bitwise_ptr - the bitwise builtin pointer.\n// x, y - the two field elements to operate on, in this order. Both inputs should be 251-bit\n// integers, and are taken as unsigned ints.\n//\n// Returns:\n// x_xor_y = x ^ y (bitwise xor).\nfunc bitwise_xor{bitwise_ptr: BitwiseBuiltin*}(x: felt, y: felt) -> (x_xor_y: felt) {\n bitwise_ptr.x = x;\n bitwise_ptr.y = y;\n let x_and_y = bitwise_ptr.x_and_y;\n let x_xor_y = bitwise_ptr.x_xor_y;\n let x_or_y = bitwise_ptr.x_or_y;\n let bitwise_ptr = bitwise_ptr + BitwiseBuiltin.SIZE;\n return (x_xor_y=x_xor_y);\n}\n\n// Computes the bitwise or of two inputs.\n//\n// Arguments:\n// bitwise_ptr - the bitwise builtin pointer.\n// x, y - the two field elements to operate on, in this order. Both inputs should be 251-bit\n// integers, and are taken as unsigned ints.\n//\n// Returns:\n// x_or_y = x | y (bitwise or).\nfunc bitwise_or{bitwise_ptr: BitwiseBuiltin*}(x: felt, y: felt) -> (x_or_y: felt) {\n bitwise_ptr.x = x;\n bitwise_ptr.y = y;\n let x_and_y = bitwise_ptr.x_and_y;\n let x_xor_y = bitwise_ptr.x_xor_y;\n let x_or_y = bitwise_ptr.x_or_y;\n let bitwise_ptr = bitwise_ptr + BitwiseBuiltin.SIZE;\n return (x_or_y=x_or_y);\n}\n\n// Computes the bitwise not of a single 251-bit integer.\n//\n// Argument:\n// x - the field element to operate on. The input should be a 251-bit\n// integer, and is taken as unsigned int.\n//\n// Returns:\n// not_x = ~x (bitwise not).\nfunc bitwise_not(x: felt) -> (not_x: felt) {\n return (not_x=ALL_ONES - x);\n}\n", + "/var/lib/engflow/worker/exec/bazel-out/k8-opt-exec-4C6BFEDB-ST-03cbce6a7308/bin/src/starkware/cairo/lang/compiler/cairo_compile_exe.runfiles/__main__/src/starkware/cairo/common/bool.cairo": "// Represents boolean values in Cairo.\nconst FALSE = 0;\nconst TRUE = 1;\n", + "/var/lib/engflow/worker/exec/bazel-out/k8-opt-exec-4C6BFEDB-ST-03cbce6a7308/bin/src/starkware/cairo/lang/compiler/cairo_compile_exe.runfiles/__main__/src/starkware/cairo/common/builtin_poseidon/poseidon.cairo": "from starkware.cairo.common.cairo_builtins import PoseidonBuiltin\nfrom starkware.cairo.common.poseidon_state import PoseidonBuiltinState\n\n// Hashes two elements and retrieves a single field element output.\nfunc poseidon_hash{poseidon_ptr: PoseidonBuiltin*}(x: felt, y: felt) -> (res: felt) {\n // To distinguish between the use cases the capacity element is initialized to 2.\n assert poseidon_ptr.input = PoseidonBuiltinState(s0=x, s1=y, s2=2);\n\n let res = poseidon_ptr.output.s0;\n let poseidon_ptr = poseidon_ptr + PoseidonBuiltin.SIZE;\n\n return (res=res);\n}\n\n// Hashes one element and retrieves a single field element output.\nfunc poseidon_hash_single{poseidon_ptr: PoseidonBuiltin*}(x: felt) -> (res: felt) {\n // Pad the rate with a zero.\n // To distinguish between the use cases the capacity element is initialized to 1.\n assert poseidon_ptr.input = PoseidonBuiltinState(s0=x, s1=0, s2=1);\n\n let res = poseidon_ptr.output.s0;\n let poseidon_ptr = poseidon_ptr + PoseidonBuiltin.SIZE;\n\n return (res=res);\n}\n\n// Hashes n elements and retrieves a single field element output.\nfunc poseidon_hash_many{poseidon_ptr: PoseidonBuiltin*}(n: felt, elements: felt*) -> (res: felt) {\n let elements_end = &elements[n];\n // Apply the sponge construction to digest many elements.\n // To distinguish between the use cases the capacity element is initialized to 0.\n // To distinguish between different input sizes always pad with 1 and possibly with another 0 to\n // complete to an even sized input.\n tempvar state = PoseidonBuiltinState(s0=0, s1=0, s2=0);\n tempvar elements = elements;\n tempvar poseidon_ptr = poseidon_ptr;\n\n loop:\n if (nondet %{ ids.elements_end - ids.elements >= 10 %} != 0) {\n assert poseidon_ptr.input = PoseidonBuiltinState(\n s0=state.s0 + elements[0], s1=state.s1 + elements[1], s2=state.s2\n );\n let state = poseidon_ptr.output;\n let poseidon_ptr = poseidon_ptr + PoseidonBuiltin.SIZE;\n\n assert poseidon_ptr.input = PoseidonBuiltinState(\n s0=state.s0 + elements[2], s1=state.s1 + elements[3], s2=state.s2\n );\n let state = poseidon_ptr.output;\n let poseidon_ptr = poseidon_ptr + PoseidonBuiltin.SIZE;\n\n assert poseidon_ptr.input = PoseidonBuiltinState(\n s0=state.s0 + elements[4], s1=state.s1 + elements[5], s2=state.s2\n );\n let state = poseidon_ptr.output;\n let poseidon_ptr = poseidon_ptr + PoseidonBuiltin.SIZE;\n\n assert poseidon_ptr.input = PoseidonBuiltinState(\n s0=state.s0 + elements[6], s1=state.s1 + elements[7], s2=state.s2\n );\n let state = poseidon_ptr.output;\n let poseidon_ptr = poseidon_ptr + PoseidonBuiltin.SIZE;\n\n assert poseidon_ptr.input = PoseidonBuiltinState(\n s0=state.s0 + elements[8], s1=state.s1 + elements[9], s2=state.s2\n );\n let state = poseidon_ptr.output;\n let poseidon_ptr = poseidon_ptr + PoseidonBuiltin.SIZE;\n\n tempvar state = state;\n tempvar elements = &elements[10];\n tempvar poseidon_ptr = poseidon_ptr;\n jmp loop;\n }\n\n if (nondet %{ ids.elements_end - ids.elements >= 2 %} != 0) {\n assert poseidon_ptr.input = PoseidonBuiltinState(\n s0=state.s0 + elements[0], s1=state.s1 + elements[1], s2=state.s2\n );\n let state = poseidon_ptr.output;\n let poseidon_ptr = poseidon_ptr + PoseidonBuiltin.SIZE;\n\n tempvar state = state;\n tempvar elements = &elements[2];\n tempvar poseidon_ptr = poseidon_ptr;\n jmp loop;\n }\n\n tempvar n = elements_end - elements;\n\n if (n == 0) {\n // Pad input with [1, 0].\n assert poseidon_ptr.input = PoseidonBuiltinState(s0=state.s0 + 1, s1=state.s1, s2=state.s2);\n let res = poseidon_ptr.output.s0;\n let poseidon_ptr = poseidon_ptr + PoseidonBuiltin.SIZE;\n return (res=res);\n }\n\n assert n = 1;\n // Pad input with [1].\n assert poseidon_ptr.input = PoseidonBuiltinState(\n s0=state.s0 + elements[0], s1=state.s1 + 1, s2=state.s2\n );\n let res = poseidon_ptr.output.s0;\n let poseidon_ptr = poseidon_ptr + PoseidonBuiltin.SIZE;\n return (res=res);\n}\n", + "/var/lib/engflow/worker/exec/bazel-out/k8-opt-exec-4C6BFEDB-ST-03cbce6a7308/bin/src/starkware/cairo/lang/compiler/cairo_compile_exe.runfiles/__main__/src/starkware/cairo/common/cairo_blake2s/blake2s.cairo": "// This module provides a set of functions to compute the blake2s hash function.\n//\n// This module is similar to the keccak.cairo module. See more info there.\n\nfrom starkware.cairo.common.alloc import alloc\nfrom starkware.cairo.common.cairo_blake2s.packed_blake2s import N_PACKED_INSTANCES, blake2s_compress\nfrom starkware.cairo.common.cairo_builtins import BitwiseBuiltin\nfrom starkware.cairo.common.math import assert_nn_le, split_felt, unsigned_div_rem\nfrom starkware.cairo.common.math_cmp import is_le\nfrom starkware.cairo.common.memcpy import memcpy\nfrom starkware.cairo.common.memset import memset\nfrom starkware.cairo.common.pow import pow\nfrom starkware.cairo.common.registers import get_fp_and_pc, get_label_location\nfrom starkware.cairo.common.uint256 import Uint256\n\nconst INPUT_BLOCK_FELTS = 16;\nconst INPUT_BLOCK_BYTES = 64;\nconst STATE_SIZE_FELTS = 8;\n// Each instance consists of 8 words for the input state, 16 words of message,\n// 2 words for t0 and f0, and 8 words for the output state.\nconst INSTANCE_SIZE = STATE_SIZE_FELTS + INPUT_BLOCK_FELTS + 2 + STATE_SIZE_FELTS;\n\n// Computes blake2s of 'input'.\n// To use this function, split the input into words of 32 bits (little endian).\n// For example, to compute blake2s('Hello world'), use:\n// input = [1819043144, 1870078063, 6581362]\n// where:\n// 1819043144 == int.from_bytes(b'Hell', 'little')\n// 1870078063 == int.from_bytes(b'o wo', 'little')\n// 6581362 == int.from_bytes(b'rld', 'little')\n//\n// Returns the hash as a Uint256.\n//\n// Note: You must call finalize_blake2s() at the end of the program. Otherwise, this function\n// is not sound and a malicious prover may return a wrong result.\n// Note: the interface of this function may change in the future.\n// Note: Each input word is verified to be in the range [0, 2 ** 32) by this function.\nfunc blake2s{range_check_ptr, blake2s_ptr: felt*}(data: felt*, n_bytes: felt) -> (res: Uint256) {\n let (output) = blake2s_as_words(data=data, n_bytes=n_bytes);\n let res_low = output[3] * 2 ** 96 + output[2] * 2 ** 64 + output[1] * 2 ** 32 + output[0];\n let res_high = output[7] * 2 ** 96 + output[6] * 2 ** 64 + output[5] * 2 ** 32 + output[4];\n return (res=Uint256(low=res_low, high=res_high));\n}\n\n// Computes blake2s of 'input', and returns the hash in big endian representation.\n// See blake2s().\n// Note that the input is still treated as little endian.\nfunc blake2s_bigend{bitwise_ptr: BitwiseBuiltin*, range_check_ptr, blake2s_ptr: felt*}(\n data: felt*, n_bytes: felt\n) -> (res: Uint256) {\n let (num) = blake2s(data=data, n_bytes=n_bytes);\n\n // Reverse byte endianness of 128-bit words.\n tempvar value = num.high;\n assert bitwise_ptr[0].x = value;\n assert bitwise_ptr[0].y = 0x00ff00ff00ff00ff00ff00ff00ff00ff;\n tempvar value = value + (2 ** 16 - 1) * bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].x = value;\n assert bitwise_ptr[1].y = 0x00ffff0000ffff0000ffff0000ffff00;\n tempvar value = value + (2 ** 32 - 1) * bitwise_ptr[1].x_and_y;\n assert bitwise_ptr[2].x = value;\n assert bitwise_ptr[2].y = 0x00ffffffff00000000ffffffff000000;\n tempvar value = value + (2 ** 64 - 1) * bitwise_ptr[2].x_and_y;\n assert bitwise_ptr[3].x = value;\n assert bitwise_ptr[3].y = 0x00ffffffffffffffff00000000000000;\n tempvar value = value + (2 ** 128 - 1) * bitwise_ptr[3].x_and_y;\n tempvar high = value / 2 ** (8 + 16 + 32 + 64);\n let bitwise_ptr = bitwise_ptr + 4 * BitwiseBuiltin.SIZE;\n\n tempvar value = num.low;\n assert bitwise_ptr[0].x = value;\n assert bitwise_ptr[0].y = 0x00ff00ff00ff00ff00ff00ff00ff00ff;\n tempvar value = value + (2 ** 16 - 1) * bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].x = value;\n assert bitwise_ptr[1].y = 0x00ffff0000ffff0000ffff0000ffff00;\n tempvar value = value + (2 ** 32 - 1) * bitwise_ptr[1].x_and_y;\n assert bitwise_ptr[2].x = value;\n assert bitwise_ptr[2].y = 0x00ffffffff00000000ffffffff000000;\n tempvar value = value + (2 ** 64 - 1) * bitwise_ptr[2].x_and_y;\n assert bitwise_ptr[3].x = value;\n assert bitwise_ptr[3].y = 0x00ffffffffffffffff00000000000000;\n tempvar value = value + (2 ** 128 - 1) * bitwise_ptr[3].x_and_y;\n tempvar low = value / 2 ** (8 + 16 + 32 + 64);\n let bitwise_ptr = bitwise_ptr + 4 * BitwiseBuiltin.SIZE;\n\n return (res=Uint256(low=high, high=low));\n}\n\n// Same as blake2s, but outputs a pointer to 8 32-bit little endian words instead.\nfunc blake2s_as_words{range_check_ptr, blake2s_ptr: felt*}(data: felt*, n_bytes: felt) -> (\n output: felt*\n) {\n // Set the initial state to IV (IV[0] is modified).\n assert blake2s_ptr[0] = 0x6B08E647; // IV[0] ^ 0x01010020 (config: no key, 32 bytes output).\n assert blake2s_ptr[1] = 0xBB67AE85;\n assert blake2s_ptr[2] = 0x3C6EF372;\n assert blake2s_ptr[3] = 0xA54FF53A;\n assert blake2s_ptr[4] = 0x510E527F;\n assert blake2s_ptr[5] = 0x9B05688C;\n assert blake2s_ptr[6] = 0x1F83D9AB;\n assert blake2s_ptr[7] = 0x5BE0CD19;\n static_assert STATE_SIZE_FELTS == 8;\n let blake2s_ptr = blake2s_ptr + STATE_SIZE_FELTS;\n\n let (output) = blake2s_inner(data=data, n_bytes=n_bytes, counter=0);\n return (output=output);\n}\n\n// Inner loop for blake2s. blake2s_ptr points to the middle of an instance: after the initial state,\n// before the message.\nfunc blake2s_inner{range_check_ptr, blake2s_ptr: felt*}(\n data: felt*, n_bytes: felt, counter: felt\n) -> (output: felt*) {\n alloc_locals;\n let is_last_block = is_le(n_bytes, INPUT_BLOCK_BYTES);\n if (is_last_block != 0) {\n return blake2s_last_block(data=data, n_bytes=n_bytes, counter=counter);\n }\n\n memcpy(blake2s_ptr, data, INPUT_BLOCK_FELTS);\n let blake2s_ptr = blake2s_ptr + INPUT_BLOCK_FELTS;\n\n assert blake2s_ptr[0] = counter + INPUT_BLOCK_BYTES; // n_bytes.\n assert blake2s_ptr[1] = 0; // Is last byte = False.\n let blake2s_ptr = blake2s_ptr + 2;\n\n // Write output.\n let output = blake2s_ptr;\n %{\n from starkware.cairo.common.cairo_blake2s.blake2s_utils import compute_blake2s_func\n compute_blake2s_func(segments=segments, output_ptr=ids.output)\n %}\n let blake2s_ptr = blake2s_ptr + STATE_SIZE_FELTS;\n\n // Write the current output to the input state for the next instance.\n memcpy(blake2s_ptr, output, STATE_SIZE_FELTS);\n let blake2s_ptr = blake2s_ptr + STATE_SIZE_FELTS;\n return blake2s_inner(\n data=data + INPUT_BLOCK_FELTS,\n n_bytes=n_bytes - INPUT_BLOCK_BYTES,\n counter=counter + INPUT_BLOCK_BYTES,\n );\n}\n\nfunc blake2s_last_block{range_check_ptr, blake2s_ptr: felt*}(\n data: felt*, n_bytes: felt, counter: felt\n) -> (output: felt*) {\n alloc_locals;\n let (n_felts, _) = unsigned_div_rem(n_bytes + 3, 4);\n memcpy(blake2s_ptr, data, n_felts);\n memset(blake2s_ptr + n_felts, 0, INPUT_BLOCK_FELTS - n_felts);\n let blake2s_ptr = blake2s_ptr + INPUT_BLOCK_FELTS;\n\n assert blake2s_ptr[0] = counter + n_bytes; // n_bytes.\n assert blake2s_ptr[1] = 0xffffffff; // Is last byte = True.\n let blake2s_ptr = blake2s_ptr + 2;\n\n // Write output.\n let output = blake2s_ptr;\n %{\n from starkware.cairo.common.cairo_blake2s.blake2s_utils import compute_blake2s_func\n compute_blake2s_func(segments=segments, output_ptr=ids.output)\n %}\n let blake2s_ptr = blake2s_ptr + STATE_SIZE_FELTS;\n\n return (output=output);\n}\n\n// Verifies that the results of blake2s() are valid.\nfunc finalize_blake2s{range_check_ptr, bitwise_ptr: BitwiseBuiltin*}(\n blake2s_ptr_start: felt*, blake2s_ptr_end: felt*\n) {\n alloc_locals;\n\n let (__fp__, _) = get_fp_and_pc();\n\n let (sigma) = _get_sigma();\n\n tempvar n = (blake2s_ptr_end - blake2s_ptr_start) / INSTANCE_SIZE;\n if (n == 0) {\n return ();\n }\n\n %{\n # Add dummy pairs of input and output.\n from starkware.cairo.common.cairo_blake2s.blake2s_utils import IV, blake2s_compress\n\n _n_packed_instances = int(ids.N_PACKED_INSTANCES)\n assert 0 <= _n_packed_instances < 20\n _blake2s_input_chunk_size_felts = int(ids.INPUT_BLOCK_FELTS)\n assert 0 <= _blake2s_input_chunk_size_felts < 100\n\n message = [0] * _blake2s_input_chunk_size_felts\n modified_iv = [IV[0] ^ 0x01010020] + IV[1:]\n output = blake2s_compress(\n message=message,\n h=modified_iv,\n t0=0,\n t1=0,\n f0=0xffffffff,\n f1=0,\n )\n padding = (modified_iv + message + [0, 0xffffffff] + output) * (_n_packed_instances - 1)\n segments.write_arg(ids.blake2s_ptr_end, padding)\n %}\n\n // Compute the amount of chunks (rounded up).\n let (local n_chunks, _) = unsigned_div_rem(n + N_PACKED_INSTANCES - 1, N_PACKED_INSTANCES);\n let blake2s_ptr = blake2s_ptr_start;\n _finalize_blake2s_inner{blake2s_ptr=blake2s_ptr}(n=n_chunks, sigma=sigma);\n return ();\n}\n\nfunc _get_sigma() -> (sigma: felt*) {\n alloc_locals;\n let (sigma_address) = get_label_location(data);\n return (sigma=cast(sigma_address, felt*));\n\n data:\n dw 0;\n dw 1;\n dw 2;\n dw 3;\n dw 4;\n dw 5;\n dw 6;\n dw 7;\n dw 8;\n dw 9;\n dw 10;\n dw 11;\n dw 12;\n dw 13;\n dw 14;\n dw 15;\n dw 14;\n dw 10;\n dw 4;\n dw 8;\n dw 9;\n dw 15;\n dw 13;\n dw 6;\n dw 1;\n dw 12;\n dw 0;\n dw 2;\n dw 11;\n dw 7;\n dw 5;\n dw 3;\n dw 11;\n dw 8;\n dw 12;\n dw 0;\n dw 5;\n dw 2;\n dw 15;\n dw 13;\n dw 10;\n dw 14;\n dw 3;\n dw 6;\n dw 7;\n dw 1;\n dw 9;\n dw 4;\n dw 7;\n dw 9;\n dw 3;\n dw 1;\n dw 13;\n dw 12;\n dw 11;\n dw 14;\n dw 2;\n dw 6;\n dw 5;\n dw 10;\n dw 4;\n dw 0;\n dw 15;\n dw 8;\n dw 9;\n dw 0;\n dw 5;\n dw 7;\n dw 2;\n dw 4;\n dw 10;\n dw 15;\n dw 14;\n dw 1;\n dw 11;\n dw 12;\n dw 6;\n dw 8;\n dw 3;\n dw 13;\n dw 2;\n dw 12;\n dw 6;\n dw 10;\n dw 0;\n dw 11;\n dw 8;\n dw 3;\n dw 4;\n dw 13;\n dw 7;\n dw 5;\n dw 15;\n dw 14;\n dw 1;\n dw 9;\n dw 12;\n dw 5;\n dw 1;\n dw 15;\n dw 14;\n dw 13;\n dw 4;\n dw 10;\n dw 0;\n dw 7;\n dw 6;\n dw 3;\n dw 9;\n dw 2;\n dw 8;\n dw 11;\n dw 13;\n dw 11;\n dw 7;\n dw 14;\n dw 12;\n dw 1;\n dw 3;\n dw 9;\n dw 5;\n dw 0;\n dw 15;\n dw 4;\n dw 8;\n dw 6;\n dw 2;\n dw 10;\n dw 6;\n dw 15;\n dw 14;\n dw 9;\n dw 11;\n dw 3;\n dw 0;\n dw 8;\n dw 12;\n dw 2;\n dw 13;\n dw 7;\n dw 1;\n dw 4;\n dw 10;\n dw 5;\n dw 10;\n dw 2;\n dw 8;\n dw 4;\n dw 7;\n dw 6;\n dw 1;\n dw 5;\n dw 15;\n dw 11;\n dw 9;\n dw 14;\n dw 3;\n dw 12;\n dw 13;\n dw 0;\n}\n\n// Handles n chunks of N_PACKED_INSTANCES blake2s instances.\nfunc _finalize_blake2s_inner{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, blake2s_ptr: felt*}(\n n: felt, sigma: felt*\n) {\n if (n == 0) {\n return ();\n }\n\n alloc_locals;\n let blake2s_start = blake2s_ptr;\n\n // Load instance data.\n let (local data: felt*) = alloc();\n _pack_ints(INSTANCE_SIZE, data);\n\n let input_state: felt* = data;\n let message: felt* = input_state + STATE_SIZE_FELTS;\n let t0_and_f0: felt* = message + INPUT_BLOCK_FELTS;\n let output_state: felt* = t0_and_f0 + 2;\n\n // Run blake2s on N_PACKED_INSTANCES instances.\n blake2s_compress(\n h=input_state,\n message=message,\n t0=t0_and_f0[0],\n f0=t0_and_f0[1],\n sigma=sigma,\n output=output_state,\n );\n let blake2s_ptr = blake2s_start + INSTANCE_SIZE * N_PACKED_INSTANCES;\n\n return _finalize_blake2s_inner(n=n - 1, sigma=sigma);\n}\n\n// Given N_PACKED_INSTANCES sets of m (32-bit) integers in the blake2s implicit argument,\n// where each set starts at offset INSTANCE_SIZE from the previous set,\n// computes m packed integers.\n// blake2s_ptr is advanced m steps (just after the first set).\nfunc _pack_ints{range_check_ptr, blake2s_ptr: felt*}(m, packed_values: felt*) {\n static_assert N_PACKED_INSTANCES == 7;\n alloc_locals;\n\n local MAX_VALUE = 2 ** 32 - 1;\n\n tempvar packed_values = packed_values;\n tempvar blake2s_ptr = blake2s_ptr;\n tempvar range_check_ptr = range_check_ptr;\n tempvar m = m;\n\n loop:\n tempvar x0 = blake2s_ptr[0 * INSTANCE_SIZE];\n assert [range_check_ptr + 0] = x0;\n assert [range_check_ptr + 1] = MAX_VALUE - x0;\n tempvar x1 = blake2s_ptr[1 * INSTANCE_SIZE];\n assert [range_check_ptr + 2] = x1;\n assert [range_check_ptr + 3] = MAX_VALUE - x1;\n tempvar x2 = blake2s_ptr[2 * INSTANCE_SIZE];\n assert [range_check_ptr + 4] = x2;\n assert [range_check_ptr + 5] = MAX_VALUE - x2;\n tempvar x3 = blake2s_ptr[3 * INSTANCE_SIZE];\n assert [range_check_ptr + 6] = x3;\n assert [range_check_ptr + 7] = MAX_VALUE - x3;\n tempvar x4 = blake2s_ptr[4 * INSTANCE_SIZE];\n assert [range_check_ptr + 8] = x4;\n assert [range_check_ptr + 9] = MAX_VALUE - x4;\n tempvar x5 = blake2s_ptr[5 * INSTANCE_SIZE];\n assert [range_check_ptr + 10] = x5;\n assert [range_check_ptr + 11] = MAX_VALUE - x5;\n tempvar x6 = blake2s_ptr[6 * INSTANCE_SIZE];\n assert [range_check_ptr + 12] = x6;\n assert [range_check_ptr + 13] = MAX_VALUE - x6;\n assert packed_values[0] = (\n x0 +\n 2 ** 35 * x1 +\n 2 ** (35 * 2) * x2 +\n 2 ** (35 * 3) * x3 +\n 2 ** (35 * 4) * x4 +\n 2 ** (35 * 5) * x5 +\n 2 ** (35 * 6) * x6\n );\n\n tempvar packed_values = packed_values + 1;\n tempvar blake2s_ptr = blake2s_ptr + 1;\n tempvar range_check_ptr = range_check_ptr + 14;\n tempvar m = m - 1;\n jmp loop if m != 0;\n\n return ();\n}\n\n// Helper functions.\n// These functions serialize data to a data array to be used with blake2s().\n// They use the property that each data word is verified by blake2s() to be in range [0, 2 ** 32).\n\n// Serializes a uint256 number in a blake2s compatible way (little-endian).\nfunc blake2s_add_uint256{data: felt*}(num: Uint256) {\n let high = num.high;\n let low = num.low;\n %{\n B = 32\n MASK = 2 ** 32 - 1\n segments.write_arg(ids.data, [(ids.low >> (B * i)) & MASK for i in range(4)])\n segments.write_arg(ids.data + 4, [(ids.high >> (B * i)) & MASK for i in range(4)])\n %}\n assert data[3] * 2 ** 96 + data[2] * 2 ** 64 + data[1] * 2 ** 32 + data[0] = low;\n assert data[7] * 2 ** 96 + data[6] * 2 ** 64 + data[5] * 2 ** 32 + data[4] = high;\n let data = data + 8;\n return ();\n}\n\n// Serializes a uint256 number in a blake2s compatible way (big-endian).\nfunc blake2s_add_uint256_bigend{bitwise_ptr: BitwiseBuiltin*, data: felt*}(num: Uint256) {\n // Reverse byte endianness of 32-bit chunks.\n tempvar value = num.high;\n assert bitwise_ptr[0].x = value;\n assert bitwise_ptr[0].y = 0x00ff00ff00ff00ff00ff00ff00ff00ff;\n tempvar value = value + (2 ** 16 - 1) * bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].x = value;\n assert bitwise_ptr[1].y = 0x00ffff0000ffff0000ffff0000ffff00;\n tempvar value = value + (2 ** 32 - 1) * bitwise_ptr[1].x_and_y;\n tempvar high = value / 2 ** (8 + 16);\n\n tempvar value = num.low;\n assert bitwise_ptr[2].x = value;\n assert bitwise_ptr[2].y = 0x00ff00ff00ff00ff00ff00ff00ff00ff;\n tempvar value = value + (2 ** 16 - 1) * bitwise_ptr[2].x_and_y;\n assert bitwise_ptr[3].x = value;\n assert bitwise_ptr[3].y = 0x00ffff0000ffff0000ffff0000ffff00;\n tempvar value = value + (2 ** 32 - 1) * bitwise_ptr[3].x_and_y;\n tempvar low = value / 2 ** (8 + 16);\n\n let bitwise_ptr = bitwise_ptr + 4 * BitwiseBuiltin.SIZE;\n\n %{\n B = 32\n MASK = 2 ** 32 - 1\n segments.write_arg(ids.data, [(ids.high >> (B * (3 - i))) & MASK for i in range(4)])\n segments.write_arg(ids.data + 4, [(ids.low >> (B * (3 - i))) & MASK for i in range(4)])\n %}\n\n assert data[0] * 2 ** 96 + data[1] * 2 ** 64 + data[2] * 2 ** 32 + data[3] = high;\n assert data[4] * 2 ** 96 + data[5] * 2 ** 64 + data[6] * 2 ** 32 + data[7] = low;\n let data = data + 8;\n return ();\n}\n\n// Serializes a field element in a blake2s compatible way.\nfunc blake2s_add_felt{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, data: felt*}(\n num: felt, bigend: felt\n) {\n let (high, low) = split_felt(num);\n if (bigend != 0) {\n blake2s_add_uint256_bigend(Uint256(low=low, high=high));\n return ();\n } else {\n blake2s_add_uint256(Uint256(low=low, high=high));\n return ();\n }\n}\n\n// Serializes multiple field elements in a blake2s compatible way.\n// Note: This function does not serialize the number of elements. If desired, this is the caller's\n// responsibility.\nfunc blake2s_add_felts{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, data: felt*}(\n n_elements: felt, elements: felt*, bigend: felt\n) -> () {\n if (n_elements == 0) {\n return ();\n }\n blake2s_add_felt(num=elements[0], bigend=bigend);\n return blake2s_add_felts(n_elements=n_elements - 1, elements=&elements[1], bigend=bigend);\n}\n\n// Computes the blake2s hash for multiple field elements.\nfunc blake2s_felts{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, blake2s_ptr: felt*}(\n n_elements: felt, elements: felt*, bigend: felt\n) -> (res: Uint256) {\n alloc_locals;\n let (data) = alloc();\n let data_start = data;\n with data {\n blake2s_add_felts(n_elements=n_elements, elements=elements, bigend=bigend);\n }\n let (res) = blake2s(data=data_start, n_bytes=n_elements * 32);\n return (res=res);\n}\n\n// Takes an array of `packed_values_len` felt252s at `packed_values` and encodes them into an array\n// of u32s at `unpacked_u32s` in the following way:\n// * If a felt is less than 2^63, it's unpacked to 2 felts, each representing 32 bits.\n// * Otherwise, it's unpacked into 8 felts, each under 2^32, where the most significant\n// limb has its MSB set (Note that the prime is less than 2^255 so the MSB could not be\n// set prior to this intervention).\n// All 32-bit limbs are arranged in big-endian order.\n// Returns the size of the unpacked array in felts.\n// Assumes:\n// * All output felts in `upnacked_u32s` are extrenally verified to be in [0, 2^32).\n// Note: This function can nondeterministically choose between several encodings of felts,\n// x < PRIME can be encoded as x + PRIME, x + 2 * PRIME, etc. The canonical encoding is\n// given when x < PRIME.\n// TODO(alont): Write custom hints and integrate with VM.\n// TODO(alont): Consider adding cases for 1 u32 (small immediates, including negatives)\n// and 3 u32s (extended opcodes).\n// TODO(alont): Consider unrolling this loop to avoid state copy overhead.\nfunc encode_felt252_to_u32s{range_check_ptr: felt}(\n packed_values_len: felt, packed_values: felt*, unpacked_u32s: felt*\n) -> felt {\n alloc_locals;\n\n local U63_MAX = 2 ** 63 - 1;\n local EXP31 = 2 ** 31;\n local end = cast(packed_values, felt) + packed_values_len;\n\n %{\n offset = 0\n for i in range(ids.packed_values_len):\n val = (memory[ids.packed_values + i] % PRIME)\n val_len = 2 if val < 2**63 else 8\n if val_len == 8:\n val += 2**255\n for i in range(val_len - 1, -1, -1):\n val, memory[ids.unpacked_u32s + offset + i] = divmod(val, 2**32)\n assert val == 0\n offset += val_len\n %}\n tempvar out = unpacked_u32s;\n tempvar packed_values = packed_values;\n tempvar range_check_ptr = range_check_ptr;\n\n loop:\n // Guess if number is small or big.\n if (nondet %{ (ids.end != ids.packed_values) and (memory[ids.packed_values] < 2**63) %} != 0) {\n // Unpack small felt.\n\n tempvar current_val = packed_values[0];\n // Assert that the value is in [0, 2^63).\n assert [range_check_ptr] = U63_MAX - current_val;\n // Assert that the limbs represent the number.\n assert current_val = out[1] + 2 ** 32 * out[0];\n\n tempvar out = &out[2];\n tempvar packed_values = &packed_values[1];\n tempvar range_check_ptr = range_check_ptr + 1;\n jmp loop;\n }\n\n if (end - cast(packed_values, felt) == 0) {\n return out - unpacked_u32s;\n }\n\n // Handle big felt.\n // Assert that the top limb is over 2^31, as its MSB is artificially set for encoding.\n tempvar raw_out_0 = out[0] - EXP31;\n assert [range_check_ptr] = raw_out_0;\n // Assert that the limbs represent the number. Set the MSB of the most significant limb.\n assert packed_values[0] = (\n (out[7] + (2 ** 32 * out[6])) +\n 2 ** (32 * 2) * (out[5] + 2 ** 32 * out[4]) +\n 2 ** (32 * 4) * (out[3] + 2 ** 32 * out[2]) +\n 2 ** (32 * 6) * (out[1] + 2 ** 32 * raw_out_0)\n );\n\n tempvar out = &out[8];\n tempvar packed_values = &packed_values[1];\n tempvar range_check_ptr = range_check_ptr + 1;\n jmp loop;\n}\n\nconst OP1_AP = 4;\nconst BLAKE2S_OPCODE_EXT = 1;\nconst BLAKE2S_FINALIZE_OPCODE_EXT = 2;\nconst BLAKE2S_AP_FLAGS = OP1_AP * (2 ** 2);\n\nconst OFF_MINUS_1 = 2 ** 15 - 1;\nconst OFF_MINUS_2 = 2 ** 15 - 2;\nconst OFF_MINUS_3 = 2 ** 15 - 3;\nconst OFF_MINUS_4 = 2 ** 15 - 4;\n\nconst COUNTER_OFFSET = 1;\nconst STATE_OFFSET = 2 ** 16;\nconst MESSAGE_OFFSET = 2 ** 32;\nconst FLAGS_OFFSET = 2 ** 48;\nconst OPCODE_EXT_OFFSET = 2 ** 63;\n\nconst BLAKE2S_INSTRUCTION = OFF_MINUS_1 * COUNTER_OFFSET + OFF_MINUS_4 * STATE_OFFSET +\n OFF_MINUS_3 * MESSAGE_OFFSET + BLAKE2S_AP_FLAGS * FLAGS_OFFSET + BLAKE2S_OPCODE_EXT *\n OPCODE_EXT_OFFSET;\nconst BLAKE2S_FINALIZE_INSTRUCTION = OFF_MINUS_1 * COUNTER_OFFSET + OFF_MINUS_3 * STATE_OFFSET +\n OFF_MINUS_2 * MESSAGE_OFFSET + BLAKE2S_AP_FLAGS * FLAGS_OFFSET + BLAKE2S_FINALIZE_OPCODE_EXT *\n OPCODE_EXT_OFFSET;\n\n// Computes blake2s of `input` of size `len` felts, representing 32 bits each.\n// Note: this function guarantees that len > 0.\nfunc blake_with_opcode{range_check_ptr}(len: felt, data: felt*, out: felt*) {\n alloc_locals;\n\n let (local state: felt*) = alloc();\n assert state[0] = 0x6B08E647; // IV[0] ^ 0x01010020 (config: no key, 32 bytes output).\n assert state[1] = 0xBB67AE85;\n assert state[2] = 0x3C6EF372;\n assert state[3] = 0xA54FF53A;\n assert state[4] = 0x510E527F;\n assert state[5] = 0x9B05688C;\n assert state[6] = 0x1F83D9AB;\n assert state[7] = 0x5BE0CD19;\n\n // Express the length in bytes, subtract the remainder for finalize.\n let (_, rem) = unsigned_div_rem(len - 1, 16);\n local rem = rem + 1;\n local len_in_bytes = (len - rem) * 4;\n\n local range_check_ptr = range_check_ptr;\n\n // Copy remaining data and pad with zeroes.\n let (local final_data: felt*) = alloc();\n memcpy(final_data, &data[len - rem], rem);\n memset(&final_data[rem], 0, 16 - rem);\n\n tempvar counter = 0;\n tempvar state = state;\n tempvar data = data;\n\n loop:\n if (counter - len_in_bytes == 0) {\n // Add remainder bytes to counter.\n tempvar counter = counter + (rem * 4);\n [ap] = state, ap++;\n [ap] = final_data, ap++;\n [ap] = counter, ap++;\n [ap] = out;\n dw BLAKE2S_FINALIZE_INSTRUCTION;\n // Increment AP after blake opcode.\n ap += 1;\n\n let range_check_ptr = [fp + 3];\n return ();\n }\n\n tempvar counter = counter + 64;\n\n // Blake output pointer / the next state.\n [ap] = &state[8];\n dw BLAKE2S_INSTRUCTION;\n\n let state = cast([ap - 4], felt*);\n let data = cast([ap - 3], felt*);\n\n // Increment AP after blake opcode.\n ap += 1;\n\n tempvar data = data + 16;\n jmp loop;\n}\n\n// Given `data_len` felt252s at `data`, encodes them as u32s as defined in `encode_felt252_to_u32s`\n// and computes the blake2s hash of the result using the dedicated opcodes.\n// The 256 bit result is then returned as a felt252 (i.e. modulo PRIME).\nfunc encode_felt252_data_and_calc_blake_hash{range_check_ptr: felt}(\n data_len: felt, data: felt*\n) -> (hash: felt) {\n alloc_locals;\n let (local encoded_data: felt*) = alloc();\n let encoded_data_len = encode_felt252_to_u32s(\n packed_values_len=data_len, packed_values=data, unpacked_u32s=encoded_data\n );\n let (local blake_output: felt*) = alloc();\n blake_with_opcode(len=encoded_data_len, data=encoded_data, out=blake_output);\n return (\n hash=blake_output[7] * 2 ** 224 + blake_output[6] * 2 ** 192 + blake_output[5] * 2 ** 160 +\n blake_output[4] * 2 ** 128 + blake_output[3] * 2 ** 96 + blake_output[2] * 2 ** 64 +\n blake_output[1] * 2 ** 32 + blake_output[0],\n );\n}\n", + "/var/lib/engflow/worker/exec/bazel-out/k8-opt-exec-4C6BFEDB-ST-03cbce6a7308/bin/src/starkware/cairo/lang/compiler/cairo_compile_exe.runfiles/__main__/src/starkware/cairo/common/cairo_blake2s/packed_blake2s.cairo": "from starkware.cairo.common.alloc import alloc\nfrom starkware.cairo.common.cairo_builtins import BitwiseBuiltin\nfrom starkware.cairo.common.registers import get_fp_and_pc\n\nconst N_PACKED_INSTANCES = 7;\nconst ALL_ONES = 2 ** 251 - 1;\nconst SHIFTS = (\n 1 + 2 ** 35 + 2 ** (35 * 2) + 2 ** (35 * 3) + 2 ** (35 * 4) + 2 ** (35 * 5) + 2 ** (35 * 6)\n);\n\nfunc mix{bitwise_ptr: BitwiseBuiltin*}(a: felt, b: felt, c: felt, d: felt, m0: felt, m1: felt) -> (\n a: felt, b: felt, c: felt, d: felt\n) {\n alloc_locals;\n\n // Defining the following constant as local variables saves some instructions.\n local mask32ones = SHIFTS * (2 ** 32 - 1);\n\n // a = (a + b + m0) % 2**32.\n assert bitwise_ptr[0].x = a + b + m0;\n assert bitwise_ptr[0].y = mask32ones;\n tempvar a = bitwise_ptr[0].x_and_y;\n let bitwise_ptr = bitwise_ptr + BitwiseBuiltin.SIZE;\n\n // d = right_rot((d ^ a), 16).\n assert bitwise_ptr[0].x = a;\n assert bitwise_ptr[0].y = d;\n tempvar a_xor_d = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = a_xor_d;\n assert bitwise_ptr[1].y = SHIFTS * (2 ** 32 - 2 ** 16);\n tempvar d = (\n (2 ** (32 - 16)) * a_xor_d + (1 / 2 ** 16 - 2 ** (32 - 16)) * bitwise_ptr[1].x_and_y\n );\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n // c = (c + d) % 2**32.\n assert bitwise_ptr[0].x = c + d;\n assert bitwise_ptr[0].y = mask32ones;\n tempvar c = bitwise_ptr[0].x_and_y;\n let bitwise_ptr = bitwise_ptr + BitwiseBuiltin.SIZE;\n\n // b = right_rot((b ^ c), 12).\n assert bitwise_ptr[0].x = b;\n assert bitwise_ptr[0].y = c;\n tempvar b_xor_c = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = b_xor_c;\n assert bitwise_ptr[1].y = SHIFTS * (2 ** 32 - 2 ** 12);\n tempvar b = (\n (2 ** (32 - 12)) * b_xor_c + (1 / 2 ** 12 - 2 ** (32 - 12)) * bitwise_ptr[1].x_and_y\n );\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n // a = (a + b + m1) % 2**32.\n assert bitwise_ptr[0].x = a + b + m1;\n assert bitwise_ptr[0].y = mask32ones;\n tempvar a = bitwise_ptr[0].x_and_y;\n let bitwise_ptr = bitwise_ptr + BitwiseBuiltin.SIZE;\n\n // d = right_rot((d ^ a), 8).\n assert bitwise_ptr[0].x = d;\n assert bitwise_ptr[0].y = a;\n tempvar d_xor_a = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = d_xor_a;\n assert bitwise_ptr[1].y = SHIFTS * (2 ** 32 - 2 ** 8);\n tempvar d = (2 ** (32 - 8)) * d_xor_a + (1 / 2 ** 8 - 2 ** (32 - 8)) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n // c = (c + d) % 2**32.\n assert bitwise_ptr[0].x = c + d;\n assert bitwise_ptr[0].y = mask32ones;\n tempvar c = bitwise_ptr[0].x_and_y;\n let bitwise_ptr = bitwise_ptr + BitwiseBuiltin.SIZE;\n\n // b = right_rot((b ^ c), 7).\n assert bitwise_ptr[0].x = b;\n assert bitwise_ptr[0].y = c;\n tempvar b_xor_c = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = b_xor_c;\n assert bitwise_ptr[1].y = SHIFTS * (2 ** 32 - 2 ** 7);\n tempvar b = (2 ** (32 - 7)) * b_xor_c + (1 / 2 ** 7 - 2 ** (32 - 7)) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n return (a, b, c, d);\n}\n\nfunc blake_round{bitwise_ptr: BitwiseBuiltin*}(state: felt*, message: felt*, sigma: felt*) -> (\n new_state: felt*\n) {\n let state0 = state[0];\n let state1 = state[1];\n let state2 = state[2];\n let state3 = state[3];\n let state4 = state[4];\n let state5 = state[5];\n let state6 = state[6];\n let state7 = state[7];\n let state8 = state[8];\n let state9 = state[9];\n let state10 = state[10];\n let state11 = state[11];\n let state12 = state[12];\n let state13 = state[13];\n let state14 = state[14];\n let state15 = state[15];\n\n let (state0, state4, state8, state12) = mix(\n state0, state4, state8, state12, message[sigma[0]], message[sigma[1]]\n );\n let (state1, state5, state9, state13) = mix(\n state1, state5, state9, state13, message[sigma[2]], message[sigma[3]]\n );\n let (state2, state6, state10, state14) = mix(\n state2, state6, state10, state14, message[sigma[4]], message[sigma[5]]\n );\n let (state3, state7, state11, state15) = mix(\n state3, state7, state11, state15, message[sigma[6]], message[sigma[7]]\n );\n\n let (state0, state5, state10, state15) = mix(\n state0, state5, state10, state15, message[sigma[8]], message[sigma[9]]\n );\n let (state1, state6, state11, state12) = mix(\n state1, state6, state11, state12, message[sigma[10]], message[sigma[11]]\n );\n let (state2, state7, state8, state13) = mix(\n state2, state7, state8, state13, message[sigma[12]], message[sigma[13]]\n );\n let (state3, state4, state9, state14) = mix(\n state3, state4, state9, state14, message[sigma[14]], message[sigma[15]]\n );\n\n let (new_state: felt*) = alloc();\n assert new_state[0] = state0;\n assert new_state[1] = state1;\n assert new_state[2] = state2;\n assert new_state[3] = state3;\n assert new_state[4] = state4;\n assert new_state[5] = state5;\n assert new_state[6] = state6;\n assert new_state[7] = state7;\n assert new_state[8] = state8;\n assert new_state[9] = state9;\n assert new_state[10] = state10;\n assert new_state[11] = state11;\n assert new_state[12] = state12;\n assert new_state[13] = state13;\n assert new_state[14] = state14;\n assert new_state[15] = state15;\n\n return (new_state=new_state);\n}\n\n// Performs the blake compression function.\n//\n// h is a list of 8 32-bit words.\n// message is a list of 16 32-bit words.\n// t1 and f1 are assumed to be 0.\nfunc blake2s_compress{bitwise_ptr: BitwiseBuiltin*}(\n h: felt*, message: felt*, t0: felt, f0: felt, sigma: felt*, output: felt*\n) {\n alloc_locals;\n let (__fp__, _) = get_fp_and_pc();\n\n // Compute state[12].\n assert bitwise_ptr[0].x = 0x510e527f * SHIFTS;\n assert bitwise_ptr[0].y = t0;\n let state12 = bitwise_ptr[0].x_xor_y;\n let bitwise_ptr = bitwise_ptr + BitwiseBuiltin.SIZE;\n\n // Compute state[14].\n assert bitwise_ptr[0].x = 0x1f83d9ab * SHIFTS;\n assert bitwise_ptr[0].y = f0;\n let state14 = bitwise_ptr[0].x_xor_y;\n let bitwise_ptr = bitwise_ptr + BitwiseBuiltin.SIZE;\n\n local initial_state = h[0];\n local initial_state_ = h[1];\n local initial_state_ = h[2];\n local initial_state_ = h[3];\n local initial_state_ = h[4];\n local initial_state_ = h[5];\n local initial_state_ = h[6];\n local initial_state_ = h[7];\n local initial_state_ = 0x6a09e667 * SHIFTS;\n local initial_state_ = 0xbb67ae85 * SHIFTS;\n local initial_state_ = 0x3c6ef372 * SHIFTS;\n local initial_state_ = 0xa54ff53a * SHIFTS;\n local initial_state_ = state12;\n local initial_state_ = 0x9b05688c * SHIFTS;\n local initial_state_ = state14;\n local initial_state_ = 0x5be0cd19 * SHIFTS;\n\n let state = &initial_state;\n\n let (state) = blake_round(state, message, sigma + 16 * 0);\n let (state) = blake_round(state, message, sigma + 16 * 1);\n let (state) = blake_round(state, message, sigma + 16 * 2);\n let (state) = blake_round(state, message, sigma + 16 * 3);\n let (state) = blake_round(state, message, sigma + 16 * 4);\n let (state) = blake_round(state, message, sigma + 16 * 5);\n let (state) = blake_round(state, message, sigma + 16 * 6);\n let (state) = blake_round(state, message, sigma + 16 * 7);\n let (state) = blake_round(state, message, sigma + 16 * 8);\n let (state) = blake_round(state, message, sigma + 16 * 9);\n\n tempvar old_h = h;\n tempvar last_state = state;\n tempvar new_h = output;\n tempvar bitwise_ptr = bitwise_ptr;\n tempvar n = 8;\n\n loop:\n assert bitwise_ptr[0].x = old_h[0];\n assert bitwise_ptr[0].y = last_state[0];\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].y = last_state[8];\n assert new_h[0] = bitwise_ptr[1].x_xor_y;\n\n tempvar old_h = old_h + 1;\n tempvar last_state = last_state + 1;\n tempvar new_h = new_h + 1;\n tempvar bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n tempvar n = n - 1;\n jmp loop if n != 0;\n\n return ();\n}\n", + "/var/lib/engflow/worker/exec/bazel-out/k8-opt-exec-4C6BFEDB-ST-03cbce6a7308/bin/src/starkware/cairo/lang/compiler/cairo_compile_exe.runfiles/__main__/src/starkware/cairo/common/cairo_keccak/packed_keccak.cairo": "from starkware.cairo.common.alloc import alloc\nfrom starkware.cairo.common.cairo_builtins import BitwiseBuiltin\nfrom starkware.cairo.common.registers import get_fp_and_pc\n\nconst ALL_ONES = 2 ** 251 - 1;\nconst BLOCK_SIZE = 3;\nconst SHIFTS = 1 + 2 ** 64 + 2 ** 128;\n\nfunc keccak_round{bitwise_ptr: BitwiseBuiltin*}(values: felt*, rc: felt) -> (values_b: felt*) {\n ap += SIZEOF_LOCALS;\n\n // ***************************************************************************************.\n // Compute: c[x] = a[0][x] ^ a[1][x] ^ a[2][x] ^ a[3][x] ^ a[4][x]. .\n // ***************************************************************************************.\n\n let values_start = values;\n\n assert bitwise_ptr[0].x = values[0];\n assert bitwise_ptr[0].y = values[5];\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].y = values[10];\n assert bitwise_ptr[2].x = bitwise_ptr[1].x_xor_y;\n assert bitwise_ptr[2].y = values[15];\n assert bitwise_ptr[3].x = bitwise_ptr[2].x_xor_y;\n assert bitwise_ptr[3].y = values[20];\n tempvar c0 = bitwise_ptr[3].x_xor_y;\n let values = values + 1;\n let bitwise_ptr = bitwise_ptr + 4 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[0];\n assert bitwise_ptr[0].y = values[5];\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].y = values[10];\n assert bitwise_ptr[2].x = bitwise_ptr[1].x_xor_y;\n assert bitwise_ptr[2].y = values[15];\n assert bitwise_ptr[3].x = bitwise_ptr[2].x_xor_y;\n assert bitwise_ptr[3].y = values[20];\n tempvar c1 = bitwise_ptr[3].x_xor_y;\n let values = values + 1;\n let bitwise_ptr = bitwise_ptr + 4 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[0];\n assert bitwise_ptr[0].y = values[5];\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].y = values[10];\n assert bitwise_ptr[2].x = bitwise_ptr[1].x_xor_y;\n assert bitwise_ptr[2].y = values[15];\n assert bitwise_ptr[3].x = bitwise_ptr[2].x_xor_y;\n assert bitwise_ptr[3].y = values[20];\n tempvar c2 = bitwise_ptr[3].x_xor_y;\n let values = values + 1;\n let bitwise_ptr = bitwise_ptr + 4 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[0];\n assert bitwise_ptr[0].y = values[5];\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].y = values[10];\n assert bitwise_ptr[2].x = bitwise_ptr[1].x_xor_y;\n assert bitwise_ptr[2].y = values[15];\n assert bitwise_ptr[3].x = bitwise_ptr[2].x_xor_y;\n assert bitwise_ptr[3].y = values[20];\n tempvar c3 = bitwise_ptr[3].x_xor_y;\n let values = values + 1;\n let bitwise_ptr = bitwise_ptr + 4 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[0];\n assert bitwise_ptr[0].y = values[5];\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].y = values[10];\n assert bitwise_ptr[2].x = bitwise_ptr[1].x_xor_y;\n assert bitwise_ptr[2].y = values[15];\n assert bitwise_ptr[3].x = bitwise_ptr[2].x_xor_y;\n assert bitwise_ptr[3].y = values[20];\n tempvar c4 = bitwise_ptr[3].x_xor_y;\n let values = values + 1;\n let bitwise_ptr = bitwise_ptr + 4 * BitwiseBuiltin.SIZE;\n\n // ***************************************************************************************.\n // Compute: d[x] = c[(x - 1) % 5] ^ rot_left(c[(x + 1) % 5], 1). .\n // ***************************************************************************************.\n\n // Saving constants as local variables is more efficient in some instructions.\n local mask = 0x800000000000000080000000000000008000000000000000;\n\n let x = c1;\n let y = c4;\n assert bitwise_ptr[0].x = x;\n assert bitwise_ptr[0].y = mask;\n tempvar x0 = bitwise_ptr[0].x_and_y;\n let rotx = 2 * x + (1 / 2 ** 63 - 2) * x0;\n assert bitwise_ptr[1].x = rotx;\n assert bitwise_ptr[1].y = y;\n tempvar d0 = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n let x = c2;\n let y = c0;\n assert bitwise_ptr[0].x = x;\n assert bitwise_ptr[0].y = mask;\n tempvar x0 = bitwise_ptr[0].x_and_y;\n let rotx = 2 * x + (1 / 2 ** 63 - 2) * x0;\n assert bitwise_ptr[1].x = rotx;\n assert bitwise_ptr[1].y = y;\n tempvar d1 = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n let x = c3;\n let y = c1;\n assert bitwise_ptr[0].x = x;\n assert bitwise_ptr[0].y = mask;\n tempvar x0 = bitwise_ptr[0].x_and_y;\n let rotx = 2 * x + (1 / 2 ** 63 - 2) * x0;\n assert bitwise_ptr[1].x = rotx;\n assert bitwise_ptr[1].y = y;\n tempvar d2 = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n let x = c4;\n let y = c2;\n assert bitwise_ptr[0].x = x;\n assert bitwise_ptr[0].y = mask;\n tempvar x0 = bitwise_ptr[0].x_and_y;\n let rotx = 2 * x + (1 / 2 ** 63 - 2) * x0;\n assert bitwise_ptr[1].x = rotx;\n assert bitwise_ptr[1].y = y;\n tempvar d3 = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n let x = c0;\n let y = c3;\n assert bitwise_ptr[0].x = x;\n assert bitwise_ptr[0].y = mask;\n tempvar x0 = bitwise_ptr[0].x_and_y;\n let rotx = 2 * x + (1 / 2 ** 63 - 2) * x0;\n assert bitwise_ptr[1].x = rotx;\n assert bitwise_ptr[1].y = y;\n tempvar d4 = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n // ***************************************************************************************.\n // Compute: b[(2 * x + 3 * y) % 5][y] = rot_left([a[y][x] ^ d[x], OFFSETS[x][y]) .\n // ***************************************************************************************.\n\n let values = values_start;\n\n assert bitwise_ptr[0].x = values[0];\n assert bitwise_ptr[0].y = d0;\n tempvar b0 = bitwise_ptr[0].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 1 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[5];\n assert bitwise_ptr[0].y = d0;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xfffffffff0000000fffffffff0000000fffffffff0000000;\n tempvar b16 = 2 ** 36 * x + (1 / 2 ** 28 - 2 ** 36) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[10];\n assert bitwise_ptr[0].y = d0;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xe000000000000000e000000000000000e000000000000000;\n tempvar b7 = 2 ** 3 * x + (1 / 2 ** 61 - 2 ** 3) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[15];\n assert bitwise_ptr[0].y = d0;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xffffffffff800000ffffffffff800000ffffffffff800000;\n tempvar b23 = 2 ** 41 * x + (1 / 2 ** 23 - 2 ** 41) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[20];\n assert bitwise_ptr[0].y = d0;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xffffc00000000000ffffc00000000000ffffc00000000000;\n tempvar b14 = 2 ** 18 * x + (1 / 2 ** 46 - 2 ** 18) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[1];\n assert bitwise_ptr[0].y = d1;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0x800000000000000080000000000000008000000000000000;\n tempvar b10 = 2 ** 1 * x + (1 / 2 ** 63 - 2 ** 1) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[6];\n assert bitwise_ptr[0].y = d1;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xfffffffffff00000fffffffffff00000fffffffffff00000;\n tempvar b1 = 2 ** 44 * x + (1 / 2 ** 20 - 2 ** 44) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[11];\n assert bitwise_ptr[0].y = d1;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xffc0000000000000ffc0000000000000ffc0000000000000;\n tempvar b17 = 2 ** 10 * x + (1 / 2 ** 54 - 2 ** 10) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[16];\n assert bitwise_ptr[0].y = d1;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xfffffffffff80000fffffffffff80000fffffffffff80000;\n tempvar b8 = 2 ** 45 * x + (1 / 2 ** 19 - 2 ** 45) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[21];\n assert bitwise_ptr[0].y = d1;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xc000000000000000c000000000000000c000000000000000;\n tempvar b24 = 2 ** 2 * x + (1 / 2 ** 62 - 2 ** 2) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[2];\n assert bitwise_ptr[0].y = d2;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xfffffffffffffffcfffffffffffffffcfffffffffffffffc;\n tempvar b20 = 2 ** 62 * x + (1 / 2 ** 2 - 2 ** 62) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[7];\n assert bitwise_ptr[0].y = d2;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xfc00000000000000fc00000000000000fc00000000000000;\n tempvar b11 = 2 ** 6 * x + (1 / 2 ** 58 - 2 ** 6) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[12];\n assert bitwise_ptr[0].y = d2;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xffffffffffe00000ffffffffffe00000ffffffffffe00000;\n tempvar b2 = 2 ** 43 * x + (1 / 2 ** 21 - 2 ** 43) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[17];\n assert bitwise_ptr[0].y = d2;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xfffe000000000000fffe000000000000fffe000000000000;\n tempvar b18 = 2 ** 15 * x + (1 / 2 ** 49 - 2 ** 15) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[22];\n assert bitwise_ptr[0].y = d2;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xfffffffffffffff8fffffffffffffff8fffffffffffffff8;\n tempvar b9 = 2 ** 61 * x + (1 / 2 ** 3 - 2 ** 61) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[3];\n assert bitwise_ptr[0].y = d3;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xfffffff000000000fffffff000000000fffffff000000000;\n tempvar b5 = 2 ** 28 * x + (1 / 2 ** 36 - 2 ** 28) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[8];\n assert bitwise_ptr[0].y = d3;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xfffffffffffffe00fffffffffffffe00fffffffffffffe00;\n tempvar b21 = 2 ** 55 * x + (1 / 2 ** 9 - 2 ** 55) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[13];\n assert bitwise_ptr[0].y = d3;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xffffff8000000000ffffff8000000000ffffff8000000000;\n tempvar b12 = 2 ** 25 * x + (1 / 2 ** 39 - 2 ** 25) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[18];\n assert bitwise_ptr[0].y = d3;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xfffff80000000000fffff80000000000fffff80000000000;\n tempvar b3 = 2 ** 21 * x + (1 / 2 ** 43 - 2 ** 21) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[23];\n assert bitwise_ptr[0].y = d3;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xffffffffffffff00ffffffffffffff00ffffffffffffff00;\n tempvar b19 = 2 ** 56 * x + (1 / 2 ** 8 - 2 ** 56) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[4];\n assert bitwise_ptr[0].y = d4;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xffffffe000000000ffffffe000000000ffffffe000000000;\n tempvar b15 = 2 ** 27 * x + (1 / 2 ** 37 - 2 ** 27) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[9];\n assert bitwise_ptr[0].y = d4;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xfffff00000000000fffff00000000000fffff00000000000;\n tempvar b6 = 2 ** 20 * x + (1 / 2 ** 44 - 2 ** 20) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[14];\n assert bitwise_ptr[0].y = d4;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xfffffffffe000000fffffffffe000000fffffffffe000000;\n tempvar b22 = 2 ** 39 * x + (1 / 2 ** 25 - 2 ** 39) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[19];\n assert bitwise_ptr[0].y = d4;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xff00000000000000ff00000000000000ff00000000000000;\n tempvar b13 = 2 ** 8 * x + (1 / 2 ** 56 - 2 ** 8) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = values[24];\n assert bitwise_ptr[0].y = d4;\n tempvar x = bitwise_ptr[0].x_xor_y;\n assert bitwise_ptr[1].x = x;\n assert bitwise_ptr[1].y = 0xfffc000000000000fffc000000000000fffc000000000000;\n tempvar b4 = 2 ** 14 * x + (1 / 2 ** 50 - 2 ** 14) * bitwise_ptr[1].x_and_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n // ***************************************************************************************.\n // Compute: a[y][x] = [[a[y][x] ^ ((~a[y][(x + 1) % 5]) & a[y][(x + 2) % 5]) .\n // ***************************************************************************************.\n\n let (local output: felt*) = alloc();\n\n assert bitwise_ptr[0].x = ALL_ONES - b1;\n assert bitwise_ptr[0].y = b2;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b0;\n assert bitwise_ptr[2].x = bitwise_ptr[1].x_xor_y;\n assert bitwise_ptr[2].y = rc;\n assert output[0] = bitwise_ptr[2].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 3 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b6;\n assert bitwise_ptr[0].y = b7;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b5;\n assert output[5] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b11;\n assert bitwise_ptr[0].y = b12;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b10;\n assert output[10] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b16;\n assert bitwise_ptr[0].y = b17;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b15;\n assert output[15] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b21;\n assert bitwise_ptr[0].y = b22;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b20;\n assert output[20] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b2;\n assert bitwise_ptr[0].y = b3;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b1;\n assert output[1] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b7;\n assert bitwise_ptr[0].y = b8;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b6;\n assert output[6] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b12;\n assert bitwise_ptr[0].y = b13;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b11;\n assert output[11] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b17;\n assert bitwise_ptr[0].y = b18;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b16;\n assert output[16] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b22;\n assert bitwise_ptr[0].y = b23;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b21;\n assert output[21] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b3;\n assert bitwise_ptr[0].y = b4;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b2;\n assert output[2] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b8;\n assert bitwise_ptr[0].y = b9;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b7;\n assert output[7] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b13;\n assert bitwise_ptr[0].y = b14;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b12;\n assert output[12] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b18;\n assert bitwise_ptr[0].y = b19;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b17;\n assert output[17] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b23;\n assert bitwise_ptr[0].y = b24;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b22;\n assert output[22] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b4;\n assert bitwise_ptr[0].y = b0;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b3;\n assert output[3] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b9;\n assert bitwise_ptr[0].y = b5;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b8;\n assert output[8] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b14;\n assert bitwise_ptr[0].y = b10;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b13;\n assert output[13] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b19;\n assert bitwise_ptr[0].y = b15;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b18;\n assert output[18] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b24;\n assert bitwise_ptr[0].y = b20;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b23;\n assert output[23] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b0;\n assert bitwise_ptr[0].y = b1;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b4;\n assert output[4] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b5;\n assert bitwise_ptr[0].y = b6;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b9;\n assert output[9] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b10;\n assert bitwise_ptr[0].y = b11;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b14;\n assert output[14] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b15;\n assert bitwise_ptr[0].y = b16;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b19;\n assert output[19] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n assert bitwise_ptr[0].x = ALL_ONES - b20;\n assert bitwise_ptr[0].y = b21;\n assert bitwise_ptr[1].x = bitwise_ptr[0].x_and_y;\n assert bitwise_ptr[1].y = b24;\n assert output[24] = bitwise_ptr[1].x_xor_y;\n let bitwise_ptr = bitwise_ptr + 2 * BitwiseBuiltin.SIZE;\n\n return (values_b=output);\n}\n\nfunc packed_keccak_func{bitwise_ptr: BitwiseBuiltin*}(values: felt*) -> (values: felt*) {\n let (values) = keccak_round(values, 0x0000000000000001 * SHIFTS);\n let (values) = keccak_round(values, 0x0000000000008082 * SHIFTS);\n let (values) = keccak_round(values, 0x800000000000808A * SHIFTS);\n let (values) = keccak_round(values, 0x8000000080008000 * SHIFTS);\n let (values) = keccak_round(values, 0x000000000000808B * SHIFTS);\n let (values) = keccak_round(values, 0x0000000080000001 * SHIFTS);\n let (values) = keccak_round(values, 0x8000000080008081 * SHIFTS);\n let (values) = keccak_round(values, 0x8000000000008009 * SHIFTS);\n let (values) = keccak_round(values, 0x000000000000008A * SHIFTS);\n let (values) = keccak_round(values, 0x0000000000000088 * SHIFTS);\n let (values) = keccak_round(values, 0x0000000080008009 * SHIFTS);\n let (values) = keccak_round(values, 0x000000008000000A * SHIFTS);\n let (values) = keccak_round(values, 0x000000008000808B * SHIFTS);\n let (values) = keccak_round(values, 0x800000000000008B * SHIFTS);\n let (values) = keccak_round(values, 0x8000000000008089 * SHIFTS);\n let (values) = keccak_round(values, 0x8000000000008003 * SHIFTS);\n let (values) = keccak_round(values, 0x8000000000008002 * SHIFTS);\n let (values) = keccak_round(values, 0x8000000000000080 * SHIFTS);\n let (values) = keccak_round(values, 0x000000000000800A * SHIFTS);\n let (values) = keccak_round(values, 0x800000008000000A * SHIFTS);\n let (values) = keccak_round(values, 0x8000000080008081 * SHIFTS);\n let (values) = keccak_round(values, 0x8000000000008080 * SHIFTS);\n let (values) = keccak_round(values, 0x0000000080000001 * SHIFTS);\n let (values) = keccak_round(values, 0x8000000080008008 * SHIFTS);\n\n return (values=values);\n}\n", + "/var/lib/engflow/worker/exec/bazel-out/k8-opt-exec-4C6BFEDB-ST-03cbce6a7308/bin/src/starkware/cairo/lang/compiler/cairo_compile_exe.runfiles/__main__/src/starkware/cairo/common/keccak_utils/keccak_utils.cairo": "// These functions serialize input to an array of 64-bit little endian words to be used with\n// keccak() or keccak_as_words().\n// Note: These functions assume that 'inputs' points to a sequence of elements that are guaranteed\n// to be 8 bytes each, otherwise they are not sound.\n\nfrom starkware.cairo.common.cairo_builtins import BitwiseBuiltin\nfrom starkware.cairo.common.math import split_felt\nfrom starkware.cairo.common.uint256 import Uint256, uint256_reverse_endian\n\n// Serializes a uint256 number in a keccak compatible way.\n// The argument 'bigend' is either 0 or 1, representing the endianness of the given number.\nfunc keccak_add_uint256{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, inputs: felt*}(\n num: Uint256, bigend: felt\n) {\n if (bigend != 0) {\n let (num_reversed) = uint256_reverse_endian(num=num);\n tempvar bitwise_ptr = bitwise_ptr;\n tempvar high = num_reversed.high;\n tempvar low = num_reversed.low;\n } else {\n tempvar bitwise_ptr = bitwise_ptr;\n tempvar high = num.high;\n tempvar low = num.low;\n }\n\n %{\n segments.write_arg(ids.inputs, [ids.low % 2 ** 64, ids.low // 2 ** 64])\n segments.write_arg(ids.inputs + 2, [ids.high % 2 ** 64, ids.high // 2 ** 64])\n %}\n\n assert inputs[1] * 2 ** 64 + inputs[0] = low;\n assert inputs[3] * 2 ** 64 + inputs[2] = high;\n\n let inputs = inputs + 4;\n return ();\n}\n\n// Serializes multiple uint256 numbers in a keccak compatible way.\n// The argument 'bigend' is either 0 or 1, representing the endianness of the given numbers.\n// Note: This function does not serialize the number of elements. If desired, this is the caller's\n// responsibility.\nfunc keccak_add_uint256s{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, inputs: felt*}(\n n_elements: felt, elements: Uint256*, bigend: felt\n) {\n if (n_elements == 0) {\n return ();\n }\n\n keccak_add_uint256(num=elements[0], bigend=bigend);\n return keccak_add_uint256s(n_elements=n_elements - 1, elements=&elements[1], bigend=bigend);\n}\n\n// Serializes a field element in a keccak compatible way.\n// The argument 'bigend' is either 0 or 1, representing the endianness of the given element.\nfunc keccak_add_felt{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, inputs: felt*}(\n num: felt, bigend: felt\n) {\n let (high, low) = split_felt(value=num);\n keccak_add_uint256(num=Uint256(low=low, high=high), bigend=bigend);\n\n return ();\n}\n\n// Serializes multiple field elements in a keccak compatible way.\n// The argument 'bigend' is either 0 or 1, representing the endianness of the given elements.\n// Note: This function does not serialize the number of elements. If desired, this is the caller's\n// responsibility.\nfunc keccak_add_felts{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, inputs: felt*}(\n n_elements: felt, elements: felt*, bigend: felt\n) {\n if (n_elements == 0) {\n return ();\n }\n\n keccak_add_felt(num=elements[0], bigend=bigend);\n return keccak_add_felts(n_elements=n_elements - 1, elements=&elements[1], bigend=bigend);\n}\n", + "/var/lib/engflow/worker/exec/bazel-out/k8-opt-exec-4C6BFEDB-ST-03cbce6a7308/bin/src/starkware/cairo/lang/compiler/cairo_compile_exe.runfiles/__main__/src/starkware/cairo/common/math.cairo": "from starkware.cairo.common.bool import FALSE, TRUE\n\n// Inline functions with no locals.\n\n// Verifies that value != 0. The proof will fail otherwise.\nfunc assert_not_zero(value) {\n %{\n from starkware.cairo.common.math_utils import assert_integer\n assert_integer(ids.value)\n assert ids.value % PRIME != 0, f'assert_not_zero failed: {ids.value} = 0.'\n %}\n if (value == 0) {\n // If value == 0, add an unsatisfiable requirement.\n value = 1;\n }\n\n return ();\n}\n\n// Verifies that ptr != nullptr. The proof will fail otherwise.\nfunc assert_not_nullptr(ptr: felt*) {\n if (ptr == 0) {\n // If ptr == 0, add an unsatisfiable requirement.\n ptr = 1;\n }\n\n return ();\n}\n\n// Verifies that a != b. The proof will fail otherwise.\nfunc assert_not_equal(a, b) {\n %{\n from starkware.cairo.lang.vm.relocatable import RelocatableValue\n both_ints = isinstance(ids.a, int) and isinstance(ids.b, int)\n both_relocatable = (\n isinstance(ids.a, RelocatableValue) and isinstance(ids.b, RelocatableValue) and\n ids.a.segment_index == ids.b.segment_index)\n assert both_ints or both_relocatable, \\\n f'assert_not_equal failed: non-comparable values: {ids.a}, {ids.b}.'\n assert (ids.a - ids.b) % PRIME != 0, f'assert_not_equal failed: {ids.a} = {ids.b}.'\n %}\n if (a == b) {\n // If a == b, add an unsatisfiable requirement.\n a = a + 1;\n }\n\n return ();\n}\n\n// Verifies that a >= 0 (or more precisely 0 <= a < RANGE_CHECK_BOUND).\nfunc assert_nn{range_check_ptr}(a) {\n %{\n from starkware.cairo.common.math_utils import assert_integer\n assert_integer(ids.a)\n assert 0 <= ids.a % PRIME < range_check_builtin.bound, f'a = {ids.a} is out of range.'\n %}\n a = [range_check_ptr];\n let range_check_ptr = range_check_ptr + 1;\n return ();\n}\n\n// Verifies that a <= b (or more precisely 0 <= b - a < RANGE_CHECK_BOUND).\nfunc assert_le{range_check_ptr}(a, b) {\n assert_nn(b - a);\n return ();\n}\n\n// Verifies that a <= b - 1 (or more precisely 0 <= b - 1 - a < RANGE_CHECK_BOUND).\nfunc assert_lt{range_check_ptr}(a, b) {\n assert_le(a, b - 1);\n return ();\n}\n\n// Verifies that 0 <= a <= b.\n//\n// Prover assumption: b < RANGE_CHECK_BOUND.\n//\n// This function is still sound without the prover assumptions. In that case, it is guaranteed\n// that a < RANGE_CHECK_BOUND and b < 2 * RANGE_CHECK_BOUND.\nfunc assert_nn_le{range_check_ptr}(a, b) {\n assert_nn(a);\n assert_le(a, b);\n return ();\n}\n\n// Asserts that value is in the range [lower, upper).\n// Or more precisely:\n// (0 <= value - lower < RANGE_CHECK_BOUND) and (0 <= upper - 1 - value < RANGE_CHECK_BOUND).\n//\n// Prover assumption: 0 <= upper - lower <= RANGE_CHECK_BOUND.\nfunc assert_in_range{range_check_ptr}(value, lower, upper) {\n assert_le(lower, value);\n assert_le(value, upper - 1);\n return ();\n}\n\n// Asserts that 'value' is in the range [0, 2**250).\n@known_ap_change\nfunc assert_250_bit{range_check_ptr}(value) {\n const UPPER_BOUND = 2 ** 250;\n const SHIFT = 2 ** 128;\n const HIGH_BOUND = UPPER_BOUND / SHIFT;\n\n let low = [range_check_ptr];\n let high = [range_check_ptr + 1];\n\n %{\n from starkware.cairo.common.math_utils import as_int\n\n # Correctness check.\n value = as_int(ids.value, PRIME) % PRIME\n assert value < ids.UPPER_BOUND, f'{value} is outside of the range [0, 2**250).'\n\n # Calculation for the assertion.\n ids.high, ids.low = divmod(ids.value, ids.SHIFT)\n %}\n\n assert [range_check_ptr + 2] = HIGH_BOUND - 1 - high;\n\n // The assert below guarantees that\n // value = high * SHIFT + low <= (HIGH_BOUND - 1) * SHIFT + 2**128 - 1 =\n // HIGH_BOUND * SHIFT - SHIFT + SHIFT - 1 = 2**250 - 1.\n assert value = high * SHIFT + low;\n\n let range_check_ptr = range_check_ptr + 3;\n return ();\n}\n\n// Splits the unsigned integer lift of a field element into the higher 128 bit and lower 128 bit.\n// The unsigned integer lift is the unique integer in the range [0, PRIME) that represents the field\n// element.\n// For example, if value=17 * 2^128 + 8, then high=17 and low=8.\n@known_ap_change\nfunc split_felt{range_check_ptr}(value) -> (high: felt, low: felt) {\n // Note: the following code works because PRIME - 1 is divisible by 2**128.\n const MAX_HIGH = (-1) / 2 ** 128;\n const MAX_LOW = 0;\n\n // Guess the low and high parts of the integer.\n let low = [range_check_ptr];\n let high = [range_check_ptr + 1];\n let range_check_ptr = range_check_ptr + 2;\n\n %{\n from starkware.cairo.common.math_utils import assert_integer\n assert ids.MAX_HIGH < 2**128 and ids.MAX_LOW < 2**128\n assert PRIME - 1 == ids.MAX_HIGH * 2**128 + ids.MAX_LOW\n assert_integer(ids.value)\n ids.low = ids.value & ((1 << 128) - 1)\n ids.high = ids.value >> 128\n %}\n assert value = high * (2 ** 128) + low;\n if (high == MAX_HIGH) {\n assert_le(low, MAX_LOW);\n } else {\n assert_le(high, MAX_HIGH - 1);\n }\n return (high=high, low=low);\n}\n\n// Asserts that the unsigned integer lift (as a number in the range [0, PRIME)) of a is lower than\n// or equal to that of b.\n@known_ap_change\nfunc assert_le_felt{range_check_ptr}(a, b) {\n // ceil(PRIME / 3 / 2 ** 128).\n const PRIME_OVER_3_HIGH = 0x2aaaaaaaaaaaab05555555555555556;\n // ceil(PRIME / 2 / 2 ** 128).\n const PRIME_OVER_2_HIGH = 0x4000000000000088000000000000001;\n // The numbers [0, a, b, PRIME - 1] should be ordered. To prove that, we show that two of the\n // 3 arcs {0 -> a, a -> b, b -> PRIME - 1} are small:\n // One is less than PRIME / 3 + 2 ** 129.\n // Another is less than PRIME / 2 + 2 ** 129.\n // Since the sum of the lengths of these two arcs is less than PRIME, there is no wrap-around.\n %{\n import itertools\n\n from starkware.cairo.common.math_utils import assert_integer\n assert_integer(ids.a)\n assert_integer(ids.b)\n a = ids.a % PRIME\n b = ids.b % PRIME\n assert a <= b, f'a = {a} is not less than or equal to b = {b}.'\n\n # Find an arc less than PRIME / 3, and another less than PRIME / 2.\n lengths_and_indices = [(a, 0), (b - a, 1), (PRIME - 1 - b, 2)]\n lengths_and_indices.sort()\n assert lengths_and_indices[0][0] <= PRIME // 3 and lengths_and_indices[1][0] <= PRIME // 2\n excluded = lengths_and_indices[2][1]\n\n memory[ids.range_check_ptr + 1], memory[ids.range_check_ptr + 0] = (\n divmod(lengths_and_indices[0][0], ids.PRIME_OVER_3_HIGH))\n memory[ids.range_check_ptr + 3], memory[ids.range_check_ptr + 2] = (\n divmod(lengths_and_indices[1][0], ids.PRIME_OVER_2_HIGH))\n %}\n // Guess two arc lengths.\n tempvar arc_short = [range_check_ptr] + [range_check_ptr + 1] * PRIME_OVER_3_HIGH;\n tempvar arc_long = [range_check_ptr + 2] + [range_check_ptr + 3] * PRIME_OVER_2_HIGH;\n let range_check_ptr = range_check_ptr + 4;\n\n // First, choose which arc to exclude from {0 -> a, a -> b, b -> PRIME - 1}.\n // Then, to compare the set of two arc lengths, compare their sum and product.\n let arc_sum = arc_short + arc_long;\n let arc_prod = arc_short * arc_long;\n\n // Exclude \"0 -> a\".\n %{ memory[ap] = 1 if excluded != 0 else 0 %}\n jmp skip_exclude_a if [ap] != 0, ap++;\n assert arc_sum = (-1) - a;\n assert arc_prod = (a - b) * (1 + b);\n return ();\n\n // Exclude \"a -> b\".\n skip_exclude_a:\n %{ memory[ap] = 1 if excluded != 1 else 0 %}\n jmp skip_exclude_b_minus_a if [ap] != 0, ap++;\n tempvar m1mb = (-1) - b;\n assert arc_sum = a + m1mb;\n assert arc_prod = a * m1mb;\n return ();\n\n // Exclude \"b -> PRIME - 1\".\n skip_exclude_b_minus_a:\n %{ assert excluded == 2 %}\n assert arc_sum = b;\n assert arc_prod = a * (b - a);\n ap += 2;\n return ();\n}\n\n// Asserts that the unsigned integer lift (as a number in the range [0, PRIME)) of a is lower than\n// that of b.\n@known_ap_change\nfunc assert_lt_felt{range_check_ptr}(a, b) {\n %{\n from starkware.cairo.common.math_utils import assert_integer\n assert_integer(ids.a)\n assert_integer(ids.b)\n assert (ids.a % PRIME) < (ids.b % PRIME), \\\n f'a = {ids.a % PRIME} is not less than b = {ids.b % PRIME}.'\n %}\n if (a == b) {\n // If a == b, add an unsatisfiable requirement.\n a = a + 1;\n }\n assert_le_felt(a, b);\n return ();\n}\n\n// Returns the absolute value of value.\n// Prover asumption: -rc_bound < value < rc_bound.\n@known_ap_change\nfunc abs_value{range_check_ptr}(value) -> felt {\n tempvar is_positive: felt;\n %{\n from starkware.cairo.common.math_utils import is_positive\n ids.is_positive = 1 if is_positive(\n value=ids.value, prime=PRIME, rc_bound=range_check_builtin.bound) else 0\n %}\n if (is_positive == 0) {\n tempvar new_range_check_ptr = range_check_ptr + 1;\n tempvar abs_value = value * (-1);\n [range_check_ptr] = abs_value;\n let range_check_ptr = new_range_check_ptr;\n return abs_value;\n } else {\n [range_check_ptr] = value;\n let range_check_ptr = range_check_ptr + 1;\n return value;\n }\n}\n\n// Returns the sign of value: -1, 0 or 1.\n// Prover asumption: -rc_bound < value < rc_bound.\n@known_ap_change\nfunc sign{range_check_ptr}(value) -> felt {\n if (value == 0) {\n ap += 2;\n return 0;\n }\n\n tempvar is_positive: felt;\n %{\n from starkware.cairo.common.math_utils import is_positive\n ids.is_positive = 1 if is_positive(\n value=ids.value, prime=PRIME, rc_bound=range_check_builtin.bound) else 0\n %}\n if (is_positive == 0) {\n assert [range_check_ptr] = value * (-1);\n let range_check_ptr = range_check_ptr + 1;\n return -1;\n } else {\n ap += 1;\n [range_check_ptr] = value;\n let range_check_ptr = range_check_ptr + 1;\n return 1;\n }\n}\n\n// Returns q and r such that:\n// 0 <= q < rc_bound, 0 <= r < div and value = q * div + r.\n//\n// Assumption: 0 < div <= PRIME / rc_bound.\n// Prover assumption: value / div < rc_bound.\n//\n// The value of div is restricted to make sure there is no overflow.\n// q * div + r < (q + 1) * div <= rc_bound * (PRIME / rc_bound) = PRIME.\nfunc unsigned_div_rem{range_check_ptr}(value, div) -> (q: felt, r: felt) {\n let r = [range_check_ptr];\n let q = [range_check_ptr + 1];\n let range_check_ptr = range_check_ptr + 2;\n %{\n from starkware.cairo.common.math_utils import assert_integer\n assert_integer(ids.div)\n assert 0 < ids.div <= PRIME // range_check_builtin.bound, \\\n f'div={hex(ids.div)} is out of the valid range.'\n ids.q, ids.r = divmod(ids.value, ids.div)\n %}\n assert_le(r, div - 1);\n\n assert value = q * div + r;\n return (q, r);\n}\n\n// Returns q and r such that. -bound <= q < bound, 0 <= r < div and value = q * div + r.\n// value < PRIME / 2 is considered positive and value > PRIME / 2 is considered negative.\n//\n// Assumptions:\n// 0 < div <= PRIME / (rc_bound)\n// bound <= rc_bound / 2.\n// Prover assumption: -bound <= value / div < bound.\n//\n// The values of div and bound are restricted to make sure there is no overflow.\n// q * div + r < (q + 1) * div <= rc_bound / 2 * (PRIME / rc_bound)\n// q * div + r >= q * div >= -rc_bound / 2 * (PRIME / rc_bound).\nfunc signed_div_rem{range_check_ptr}(value, div, bound) -> (q: felt, r: felt) {\n let r = [range_check_ptr];\n let biased_q = [range_check_ptr + 1]; // == q + bound.\n let range_check_ptr = range_check_ptr + 2;\n %{\n from starkware.cairo.common.math_utils import as_int, assert_integer\n\n assert_integer(ids.div)\n assert 0 < ids.div <= PRIME // range_check_builtin.bound, \\\n f'div={hex(ids.div)} is out of the valid range.'\n\n assert_integer(ids.bound)\n assert ids.bound <= range_check_builtin.bound // 2, \\\n f'bound={hex(ids.bound)} is out of the valid range.'\n\n int_value = as_int(ids.value, PRIME)\n q, ids.r = divmod(int_value, ids.div)\n\n assert -ids.bound <= q < ids.bound, \\\n f'{int_value} / {ids.div} = {q} is out of the range [{-ids.bound}, {ids.bound}).'\n\n ids.biased_q = q + ids.bound\n %}\n let q = biased_q - bound;\n assert value = q * div + r;\n assert_le(r, div - 1);\n assert_le(biased_q, 2 * bound - 1);\n return (q, r);\n}\n\n// Computes value / div as integers and fails if value is not divisible by div.\n// Namely, verifies that 1 <= div < PRIME / rc_bound\n// and returns q such that:\n// 0 <= q < rc_bound and q = value / div.\nfunc safe_div{range_check_ptr}(value: felt, div: felt) -> felt {\n // floor(PRIME / 2 ** 128).\n const PRIME_OVER_RC_BOUND = 0x8000000000000110000000000000000;\n assert [range_check_ptr] = div - 1;\n assert [range_check_ptr + 1] = div + (2 ** 128 - PRIME_OVER_RC_BOUND);\n // Prepare the result at the end of the stack.\n let q = [ap + 1];\n q = value / div;\n tempvar range_check_ptr = range_check_ptr + 3;\n [range_check_ptr - 1] = q, ap++;\n static_assert &q + 1 == ap;\n return q;\n}\n\n// Computes first * second if there is no overflow.\n// Namely, returns the product of first and second if:\n// 0 <= first < rc_bound and 0 <= second < PRIME / rc_bound\n// and fails otherwise.\nfunc safe_mult{range_check_ptr}(first: felt, second: felt) -> felt {\n // floor(PRIME / 2 ** 128).\n const PRIME_OVER_RC_BOUND = 0x8000000000000110000000000000000;\n assert [range_check_ptr] = first;\n assert [range_check_ptr + 1] = second;\n assert [range_check_ptr + 2] = second + (2 ** 128 - PRIME_OVER_RC_BOUND);\n let range_check_ptr = range_check_ptr + 3;\n return first * second;\n}\n\n// Splits the given (unsigned) value into n \"limbs\", where each limb is in the range [0, bound),\n// as follows:\n// value = x[0] + x[1] * base + x[2] * base**2 + ... + x[n - 1] * base**(n - 1).\n// bound must be less than the range check bound (2**128).\n// Note that bound may be smaller than base, in which case the function will fail if there is a\n// limb which is >= bound.\n// Assumptions:\n// 1 < bound <= base\n// base**n < field characteristic.\nfunc split_int{range_check_ptr}(value, n, base, bound, output: felt*) {\n if (n == 0) {\n %{ assert ids.value == 0, 'split_int(): value is out of range.' %}\n assert value = 0;\n return ();\n }\n\n %{\n memory[ids.output] = res = (int(ids.value) % PRIME) % ids.base\n assert res < ids.bound, f'split_int(): Limb {res} is out of range.'\n %}\n tempvar low_part = [output];\n assert_nn_le(low_part, bound - 1);\n\n return split_int(\n value=(value - low_part) / base, n=n - 1, base=base, bound=bound, output=output + 1\n );\n}\n\n// Returns the floor value of the square root of the given value.\n// Assumptions: 0 <= value < 2**250.\n@known_ap_change\nfunc sqrt{range_check_ptr}(value) -> felt {\n alloc_locals;\n local root: felt;\n\n %{\n from starkware.python.math_utils import isqrt\n value = ids.value % PRIME\n assert value < 2 ** 250, f\"value={value} is outside of the range [0, 2**250).\"\n assert 2 ** 250 < PRIME\n ids.root = isqrt(value)\n %}\n\n assert_nn_le(root, 2 ** 125 - 1);\n tempvar root_plus_one = root + 1;\n assert_in_range(value, root * root, root_plus_one * root_plus_one);\n\n return root;\n}\n\n// Computes the evaluation of a polynomial on the given point.\nfunc horner_eval(n_coefficients: felt, coefficients: felt*, point: felt) -> (res: felt) {\n if (n_coefficients == 0) {\n return (res=0);\n }\n\n let (n_minus_one_res) = horner_eval(\n n_coefficients=n_coefficients - 1, coefficients=&coefficients[1], point=point\n );\n return (res=n_minus_one_res * point + coefficients[0]);\n}\n\n// Returns TRUE if `x` is a quadratic residue modulo the STARK prime. Returns FALSE otherwise.\n// Returns TRUE on 0.\n@known_ap_change\nfunc is_quad_residue(x: felt) -> felt {\n alloc_locals;\n local y;\n %{\n from starkware.crypto.signature.signature import FIELD_PRIME\n from starkware.python.math_utils import div_mod, is_quad_residue, sqrt\n\n x = ids.x\n if is_quad_residue(x, FIELD_PRIME):\n ids.y = sqrt(x, FIELD_PRIME)\n else:\n ids.y = sqrt(div_mod(x, 3, FIELD_PRIME), FIELD_PRIME)\n %}\n // Relies on the fact that 3 is not a quadratic residue modulo the prime, so for every field\n // element x, either:\n // * x is a quadratic residue and there exists y such that y^2 = x.\n // * x is not a quadratic residue and there exists y such that 3 * y^2 = x.\n tempvar y_squared = y * y;\n if (y_squared == x) {\n ap += 1;\n return TRUE;\n } else {\n assert 3 * y_squared = x;\n return FALSE;\n }\n}\n\n// Asserts that x = 2^n for some 0 <= n <= max_pow.\nfunc assert_is_power_of_2(x: felt, max_pow: felt) {\n if (max_pow == 0) {\n assert x = 1;\n }\n if (x == 1) {\n return ();\n }\n return assert_is_power_of_2(x=x / 2, max_pow=max_pow - 1);\n}\n", + "/var/lib/engflow/worker/exec/bazel-out/k8-opt-exec-4C6BFEDB-ST-03cbce6a7308/bin/src/starkware/cairo/lang/compiler/cairo_compile_exe.runfiles/__main__/src/starkware/cairo/common/math_cmp.cairo": "from starkware.cairo.common.math import assert_le_felt, assert_lt_felt\n\nconst RC_BOUND = 2 ** 128;\n\n// Returns 1 if value != 0. Returns 0 otherwise.\n@known_ap_change\nfunc is_not_zero(value) -> felt {\n if (value == 0) {\n return 0;\n }\n\n return 1;\n}\n\n// Returns 1 if a >= 0 (or more precisely 0 <= a < RANGE_CHECK_BOUND).\n// Returns 0 otherwise.\n@known_ap_change\nfunc is_nn{range_check_ptr}(a) -> felt {\n %{ memory[ap] = 0 if 0 <= (ids.a % PRIME) < range_check_builtin.bound else 1 %}\n jmp out_of_range if [ap] != 0, ap++;\n [range_check_ptr] = a;\n ap += 20;\n let range_check_ptr = range_check_ptr + 1;\n return 1;\n\n out_of_range:\n %{ memory[ap] = 0 if 0 <= ((-ids.a - 1) % PRIME) < range_check_builtin.bound else 1 %}\n jmp need_felt_comparison if [ap] != 0, ap++;\n assert [range_check_ptr] = (-a) - 1;\n ap += 17;\n let range_check_ptr = range_check_ptr + 1;\n return 0;\n\n need_felt_comparison:\n assert_le_felt(RC_BOUND, a);\n return 0;\n}\n\n// Returns 1 if a <= b (or more precisely 0 <= b - a < RANGE_CHECK_BOUND).\n// Returns 0 otherwise.\n@known_ap_change\nfunc is_le{range_check_ptr}(a, b) -> felt {\n return is_nn(b - a);\n}\n\n// Returns 1 if 0 <= a <= b < RANGE_CHECK_BOUND.\n// Returns 0 otherwise.\n//\n// Assumption: b < RANGE_CHECK_BOUND.\n@known_ap_change\nfunc is_nn_le{range_check_ptr}(a, b) -> felt {\n let res = is_nn(a);\n if (res == 0) {\n ap += 25;\n return res;\n }\n return is_nn(b - a);\n}\n\n// Returns 1 if value is in the range [lower, upper).\n// Returns 0 otherwise.\n// Assumptions:\n// upper - lower <= RANGE_CHECK_BOUND.\n@known_ap_change\nfunc is_in_range{range_check_ptr}(value, lower, upper) -> felt {\n let res = is_le(lower, value);\n if (res == 0) {\n ap += 26;\n return res;\n }\n return is_nn(upper - 1 - value);\n}\n\n// Checks if the unsigned integer lift (as a number in the range [0, PRIME)) of a is lower than\n// or equal to that of b.\n// See split_felt() for more details.\n// Returns 1 if true, 0 otherwise.\n// TODO(spapini,14/02/2021): Consider adding unsigned to the name of this function and\n// the asset_le_felt function.\n@known_ap_change\nfunc is_le_felt{range_check_ptr}(a, b) -> felt {\n %{ memory[ap] = 0 if (ids.a % PRIME) <= (ids.b % PRIME) else 1 %}\n jmp not_le if [ap] != 0, ap++;\n ap += 6;\n assert_le_felt(a, b);\n return 1;\n\n not_le:\n assert_lt_felt(b, a);\n return 0;\n}\n", + "/var/lib/engflow/worker/exec/bazel-out/k8-opt-exec-4C6BFEDB-ST-03cbce6a7308/bin/src/starkware/cairo/lang/compiler/cairo_compile_exe.runfiles/__main__/src/starkware/cairo/common/memcpy.cairo": "// Copies len field elements from src to dst.\nfunc memcpy(dst: felt*, src: felt*, len) {\n struct LoopFrame {\n dst: felt*,\n src: felt*,\n }\n\n if (len == 0) {\n return ();\n }\n\n %{ vm_enter_scope({'n': ids.len}) %}\n tempvar frame = LoopFrame(dst=dst, src=src);\n\n loop:\n let frame = [cast(ap - LoopFrame.SIZE, LoopFrame*)];\n assert [frame.dst] = [frame.src];\n\n let continue_copying = [ap];\n // Reserve space for continue_copying.\n let next_frame = cast(ap + 1, LoopFrame*);\n next_frame.dst = frame.dst + 1, ap++;\n next_frame.src = frame.src + 1, ap++;\n %{\n n -= 1\n ids.continue_copying = 1 if n > 0 else 0\n %}\n static_assert next_frame + LoopFrame.SIZE == ap + 1;\n jmp loop if continue_copying != 0, ap++;\n // Assert that the loop executed len times.\n len = cast(next_frame.src, felt) - cast(src, felt);\n\n %{ vm_exit_scope() %}\n return ();\n}\n", + "/var/lib/engflow/worker/exec/bazel-out/k8-opt-exec-4C6BFEDB-ST-03cbce6a7308/bin/src/starkware/cairo/lang/compiler/cairo_compile_exe.runfiles/__main__/src/starkware/cairo/common/memset.cairo": "// Writes value into [dst + 0], ..., [dst + n - 1].\nfunc memset(dst: felt*, value: felt, n) {\n struct LoopFrame {\n dst: felt*,\n }\n\n if (n == 0) {\n return ();\n }\n\n %{ vm_enter_scope({'n': ids.n}) %}\n tempvar frame = LoopFrame(dst=dst);\n\n loop:\n let frame = [cast(ap - LoopFrame.SIZE, LoopFrame*)];\n assert [frame.dst] = value;\n\n let continue_loop = [ap];\n // Reserve space for continue_loop.\n let next_frame = cast(ap + 1, LoopFrame*);\n next_frame.dst = frame.dst + 1, ap++;\n %{\n n -= 1\n ids.continue_loop = 1 if n > 0 else 0\n %}\n static_assert next_frame + LoopFrame.SIZE == ap + 1;\n jmp loop if continue_loop != 0, ap++;\n // Assert that the loop executed n times.\n n = cast(next_frame.dst, felt) - cast(dst, felt);\n\n %{ vm_exit_scope() %}\n return ();\n}\n", + "/var/lib/engflow/worker/exec/bazel-out/k8-opt-exec-4C6BFEDB-ST-03cbce6a7308/bin/src/starkware/cairo/lang/compiler/cairo_compile_exe.runfiles/__main__/src/starkware/cairo/common/pow.cairo": "from starkware.cairo.common.math import assert_le, sign\nfrom starkware.cairo.common.registers import get_ap, get_fp_and_pc\n\n// Returns base ** exp, for 0 <= exp < 2**251.\nfunc pow{range_check_ptr}(base, exp) -> (res: felt) {\n struct LoopLocals {\n bit: felt,\n temp0: felt,\n\n res: felt,\n base: felt,\n exp: felt,\n }\n\n if (exp == 0) {\n return (res=1);\n }\n\n let initial_locs: LoopLocals* = cast(fp - 2, LoopLocals*);\n initial_locs.res = 1, ap++;\n initial_locs.base = base, ap++;\n initial_locs.exp = exp, ap++;\n\n loop:\n let prev_locs: LoopLocals* = cast(ap - LoopLocals.SIZE, LoopLocals*);\n let locs: LoopLocals* = cast(ap, LoopLocals*);\n locs.base = prev_locs.base * prev_locs.base, ap++;\n %{ ids.locs.bit = (ids.prev_locs.exp % PRIME) & 1 %}\n jmp odd if locs.bit != 0, ap++;\n\n even:\n locs.exp = prev_locs.exp / 2, ap++;\n locs.res = prev_locs.res, ap++;\n // exp cannot be 0 here.\n static_assert ap + 1 == locs + LoopLocals.SIZE;\n jmp loop, ap++;\n\n odd:\n locs.temp0 = prev_locs.exp - 1;\n locs.exp = locs.temp0 / 2, ap++;\n locs.res = prev_locs.res * prev_locs.base, ap++;\n static_assert ap + 1 == locs + LoopLocals.SIZE;\n jmp loop if locs.exp != 0, ap++;\n\n // Cap the number of steps.\n let (__ap__) = get_ap();\n let (__fp__, _) = get_fp_and_pc();\n let n_steps = (__ap__ - cast(initial_locs, felt*)) / LoopLocals.SIZE - 1;\n assert_le(n_steps, 251);\n return (res=locs.res);\n}\n\n// Returns base ** exp, for -rc_bound < exp < rc_bound.\n// exp < PRIME / 2 is considered positive and exp > PRIME / 2 is considered negative.\nfunc signed_pow{range_check_ptr}(base, exp) -> felt {\n let exp_sign = sign(exp);\n if (exp_sign == -1) {\n %{ assert ids.base != 0, \"Cannot raise 0 to a negative power.\" %}\n let pos_exp = exp * (-1);\n let (pow_res) = pow(base, pos_exp);\n return 1 / pow_res;\n }\n let (res) = pow(base, exp);\n return res;\n}\n", + "/var/lib/engflow/worker/exec/bazel-out/k8-opt-exec-4C6BFEDB-ST-03cbce6a7308/bin/src/starkware/cairo/lang/compiler/cairo_compile_exe.runfiles/__main__/src/starkware/cairo/common/segments.cairo": "// Relocates src_ptr to dest_ptr.\n// 'src_ptr' must point to the start of a temporary segment.\n//\n// See add_relocation_rule() in src/starkware/cairo/lang/vm/memory_dict.py for more details.\nfunc relocate_segment(src_ptr: felt*, dest_ptr: felt*) {\n %{ memory.add_relocation_rule(src_ptr=ids.src_ptr, dest_ptr=ids.dest_ptr) %}\n\n // Add a verifier side assert that src_ptr and dest_ptr are indeed equal.\n assert src_ptr = dest_ptr;\n return ();\n}\n", + "/var/lib/engflow/worker/exec/bazel-out/k8-opt-exec-4C6BFEDB-ST-03cbce6a7308/bin/src/starkware/cairo/lang/compiler/cairo_compile_exe.runfiles/__main__/src/starkware/cairo/common/uint256.cairo": "from starkware.cairo.common.bitwise import bitwise_and, bitwise_or, bitwise_xor\nfrom starkware.cairo.common.cairo_builtins import BitwiseBuiltin\nfrom starkware.cairo.common.math import (\n assert_in_range,\n assert_le,\n assert_nn_le,\n assert_not_zero,\n split_felt,\n)\nfrom starkware.cairo.common.math_cmp import is_le\nfrom starkware.cairo.common.pow import pow\nfrom starkware.cairo.common.registers import get_ap, get_fp_and_pc\n\n// Represents an integer in the range [0, 2^256).\nstruct Uint256 {\n // The low 128 bits of the value.\n low: felt,\n // The high 128 bits of the value.\n high: felt,\n}\n\nconst SHIFT = 2 ** 128;\nconst ALL_ONES = 2 ** 128 - 1;\nconst HALF_SHIFT = 2 ** 64;\n\n// Verifies that the given integer is valid.\nfunc uint256_check{range_check_ptr}(a: Uint256) {\n [range_check_ptr] = a.low;\n [range_check_ptr + 1] = a.high;\n let range_check_ptr = range_check_ptr + 2;\n return ();\n}\n\n// Converters.\n\n// Converts a Uint256 value in the range [0, PRIME) to a felt. Fails if value is out of range.\nfunc uint256_to_felt{range_check_ptr}(value: Uint256) -> felt {\n // The maximal accepted value is PRIME - 1 = -1 = 2**251 + 17 * 2**192 =\n // SHIFT * (2**123 + 17*2**64).\n // Denote HIGH_PART = -1 / SHIFT.\n // If value.low = 0 then value is valid only if value.high <= HIGH_PART.\n // Otherwise, value is valid if value.high <= HIGH_PART - 1.\n\n const HIGH_PART = (-1) / SHIFT;\n // Derive the upper bound based on value.low.\n if (value.low == 0) {\n tempvar high_part_max_value = HIGH_PART;\n } else {\n tempvar high_part_max_value = HIGH_PART - 1;\n }\n\n with_attr error_message(\"OUT_OF_RANGE_UINT256_VALUE\") {\n // Assert value.high <= high_part_max_value.\n assert [range_check_ptr] = high_part_max_value - value.high;\n let range_check_ptr = range_check_ptr + 1;\n }\n // Express the value as felt.\n return value.high * SHIFT + value.low;\n}\n\n// Converts a felt to a uint256.\nfunc felt_to_uint256{range_check_ptr}(value: felt) -> Uint256 {\n let (high, low) = split_felt(value=value);\n return (Uint256(low=low, high=high));\n}\n\n// Arithmetics.\n\n// Adds two integers. Returns the result as a 256-bit integer and the (1-bit) carry.\nfunc uint256_add{range_check_ptr}(a: Uint256, b: Uint256) -> (res: Uint256, carry: felt) {\n alloc_locals;\n local res: Uint256;\n local carry_low: felt;\n local carry_high: felt;\n %{\n sum_low = ids.a.low + ids.b.low\n ids.carry_low = 1 if sum_low >= ids.SHIFT else 0\n sum_high = ids.a.high + ids.b.high + ids.carry_low\n ids.carry_high = 1 if sum_high >= ids.SHIFT else 0\n %}\n\n assert carry_low * carry_low = carry_low;\n assert carry_high * carry_high = carry_high;\n\n assert res.low = a.low + b.low - carry_low * SHIFT;\n assert res.high = a.high + b.high + carry_low - carry_high * SHIFT;\n uint256_check(res);\n\n return (res, carry_high);\n}\n\n// Splits a field element in the range [0, 2^192) to its low 64-bit and high 128-bit parts.\n// Soundness guarantee: a is in the range [0, 2^192).\nfunc split_64{range_check_ptr}(a: felt) -> (low: felt, high: felt) {\n alloc_locals;\n local low: felt;\n local high: felt;\n\n %{\n ids.low = ids.a & ((1<<64) - 1)\n ids.high = ids.a >> 64\n %}\n assert a = low + high * HALF_SHIFT;\n assert [range_check_ptr + 0] = low;\n assert [range_check_ptr + 1] = HALF_SHIFT - 1 - low;\n assert [range_check_ptr + 2] = high;\n let range_check_ptr = range_check_ptr + 3;\n return (low, high);\n}\n\n// Multiplies two integers. Returns the result as two 256-bit integers (low and high parts).\nfunc uint256_mul{range_check_ptr}(a: Uint256, b: Uint256) -> (low: Uint256, high: Uint256) {\n alloc_locals;\n let (a0, a1) = split_64(a.low);\n let (a2, a3) = split_64(a.high);\n let (b0, b1) = split_64(b.low);\n let (b2, b3) = split_64(b.high);\n\n let (res0, carry) = split_64(a0 * b0);\n let (res1, carry) = split_64(a1 * b0 + a0 * b1 + carry);\n let (res2, carry) = split_64(a2 * b0 + a1 * b1 + a0 * b2 + carry);\n let (res3, carry) = split_64(a3 * b0 + a2 * b1 + a1 * b2 + a0 * b3 + carry);\n let (res4, carry) = split_64(a3 * b1 + a2 * b2 + a1 * b3 + carry);\n let (res5, carry) = split_64(a3 * b2 + a2 * b3 + carry);\n let (res6, carry) = split_64(a3 * b3 + carry);\n\n return (\n low=Uint256(low=res0 + HALF_SHIFT * res1, high=res2 + HALF_SHIFT * res3),\n high=Uint256(low=res4 + HALF_SHIFT * res5, high=res6 + HALF_SHIFT * carry),\n );\n}\n\n// Returns the floor value of the square root of a uint256 integer.\nfunc uint256_sqrt{range_check_ptr}(n: Uint256) -> (res: Uint256) {\n alloc_locals;\n local root: Uint256;\n\n %{\n from starkware.python.math_utils import isqrt\n n = (ids.n.high << 128) + ids.n.low\n root = isqrt(n)\n assert 0 <= root < 2 ** 128\n ids.root.low = root\n ids.root.high = 0\n %}\n\n // Verify that 0 <= root < 2**128.\n assert root.high = 0;\n [range_check_ptr] = root.low;\n let range_check_ptr = range_check_ptr + 1;\n\n // Verify that n >= root**2.\n let (root_squared, carry) = uint256_mul(root, root);\n assert carry = Uint256(0, 0);\n let (check_lower_bound) = uint256_le(root_squared, n);\n assert check_lower_bound = 1;\n\n // Verify that n <= (root+1)**2 - 1.\n // In the case where root = 2**128 - 1, we will have next_root_squared=0.\n // Since (root+1)**2 = 2**256. Therefore next_root_squared - 1 = 2**256 - 1, as desired.\n let (next_root, add_carry) = uint256_add(root, Uint256(1, 0));\n assert add_carry = 0;\n let (next_root_squared, _) = uint256_mul(next_root, next_root);\n let (next_root_squared_minus_one) = uint256_sub(next_root_squared, Uint256(1, 0));\n let (check_upper_bound) = uint256_le(n, next_root_squared_minus_one);\n assert check_upper_bound = 1;\n\n return (res=root);\n}\n\n// Returns 1 if the first unsigned integer is less than the second unsigned integer.\nfunc uint256_lt{range_check_ptr}(a: Uint256, b: Uint256) -> (res: felt) {\n if (a.high == b.high) {\n return (is_le(a.low + 1, b.low),);\n }\n return (is_le(a.high + 1, b.high),);\n}\n\n// Returns 1 if the first signed integer is less than the second signed integer.\nfunc uint256_signed_lt{range_check_ptr}(a: Uint256, b: Uint256) -> (res: felt) {\n let (a, _) = uint256_add(a, cast((low=0, high=2 ** 127), Uint256));\n let (b, _) = uint256_add(b, cast((low=0, high=2 ** 127), Uint256));\n return uint256_lt(a, b);\n}\n\n// Returns 1 if the first unsigned integer is less than or equal to the second unsigned integer.\nfunc uint256_le{range_check_ptr}(a: Uint256, b: Uint256) -> (res: felt) {\n let (not_le) = uint256_lt(a=b, b=a);\n return (res=1 - not_le);\n}\n\n// Returns 1 if the first signed integer is less than or equal to the second signed integer.\nfunc uint256_signed_le{range_check_ptr}(a: Uint256, b: Uint256) -> (res: felt) {\n let (not_le) = uint256_signed_lt(a=b, b=a);\n return (res=1 - not_le);\n}\n\n// Returns 1 if the signed integer is nonnegative.\n@known_ap_change\nfunc uint256_signed_nn{range_check_ptr}(a: Uint256) -> (res: felt) {\n %{ memory[ap] = 1 if 0 <= (ids.a.high % PRIME) < 2 ** 127 else 0 %}\n jmp non_negative if [ap] != 0, ap++;\n\n assert [range_check_ptr] = a.high - 2 ** 127;\n let range_check_ptr = range_check_ptr + 1;\n return (res=0);\n\n non_negative:\n assert [range_check_ptr] = a.high + 2 ** 127;\n let range_check_ptr = range_check_ptr + 1;\n return (res=1);\n}\n\n// Returns 1 if the first signed integer is less than or equal to the second signed integer\n// and is greater than or equal to zero.\nfunc uint256_signed_nn_le{range_check_ptr}(a: Uint256, b: Uint256) -> (res: felt) {\n let (is_le) = uint256_signed_le(a=a, b=b);\n if (is_le == 0) {\n return (res=0);\n }\n let (is_nn) = uint256_signed_nn(a=a);\n return (res=is_nn);\n}\n\n// Unsigned integer division between two integers. Returns the quotient and the remainder.\n// Conforms to EVM specifications: division by 0 yields 0.\nfunc uint256_unsigned_div_rem{range_check_ptr}(a: Uint256, div: Uint256) -> (\n quotient: Uint256, remainder: Uint256\n) {\n alloc_locals;\n\n // If div == 0, return (0, 0).\n if (div.low + div.high == 0) {\n return (quotient=Uint256(0, 0), remainder=Uint256(0, 0));\n }\n\n // Guess the quotient and the remainder.\n local quotient: Uint256;\n local remainder: Uint256;\n %{\n a = (ids.a.high << 128) + ids.a.low\n div = (ids.div.high << 128) + ids.div.low\n quotient, remainder = divmod(a, div)\n\n ids.quotient.low = quotient & ((1 << 128) - 1)\n ids.quotient.high = quotient >> 128\n ids.remainder.low = remainder & ((1 << 128) - 1)\n ids.remainder.high = remainder >> 128\n %}\n uint256_check(quotient);\n uint256_check(remainder);\n let (res_mul, carry) = uint256_mul(quotient, div);\n assert carry = Uint256(0, 0);\n\n let (check_val, add_carry) = uint256_add(res_mul, remainder);\n assert check_val = a;\n assert add_carry = 0;\n\n let (is_valid) = uint256_lt(remainder, div);\n assert is_valid = 1;\n return (quotient=quotient, remainder=remainder);\n}\n\n// Computes:\n// 1. The integer division `(a * b) // div` (as a 512-bit number).\n// 2. The remainder `(a * b) modulo div`.\n// Assumption: div != 0.\nfunc uint256_mul_div_mod{range_check_ptr}(a: Uint256, b: Uint256, div: Uint256) -> (\n quotient_low: Uint256, quotient_high: Uint256, remainder: Uint256\n) {\n alloc_locals;\n\n // Compute a * b (512 bits).\n let (ab_low, ab_high) = uint256_mul(a, b);\n\n // Guess the quotient and remainder of (a * b) / d.\n local quotient_low: Uint256;\n local quotient_high: Uint256;\n local remainder: Uint256;\n\n %{\n a = (ids.a.high << 128) + ids.a.low\n b = (ids.b.high << 128) + ids.b.low\n div = (ids.div.high << 128) + ids.div.low\n quotient, remainder = divmod(a * b, div)\n\n ids.quotient_low.low = quotient & ((1 << 128) - 1)\n ids.quotient_low.high = (quotient >> 128) & ((1 << 128) - 1)\n ids.quotient_high.low = (quotient >> 256) & ((1 << 128) - 1)\n ids.quotient_high.high = quotient >> 384\n ids.remainder.low = remainder & ((1 << 128) - 1)\n ids.remainder.high = remainder >> 128\n %}\n\n // Compute x = quotient * div + remainder.\n uint256_check(quotient_high);\n let (quotient_mod10, quotient_mod11) = uint256_mul(quotient_high, div);\n uint256_check(quotient_low);\n let (quotient_mod00, quotient_mod01) = uint256_mul(quotient_low, div);\n // Since x should equal a * b, the high 256 bits must be zero.\n assert quotient_mod11 = Uint256(0, 0);\n\n // The low 256 bits of x must be ab_low.\n uint256_check(remainder);\n let (x0, carry0) = uint256_add(quotient_mod00, remainder);\n assert x0 = ab_low;\n\n let (x1, carry1) = uint256_add(quotient_mod01, quotient_mod10);\n assert carry1 = 0;\n let (x1, carry2) = uint256_add(x1, Uint256(low=carry0, high=0));\n assert carry2 = 0;\n\n assert x1 = ab_high;\n\n // Verify that 0 <= remainder < div.\n let (is_valid) = uint256_lt(remainder, div);\n assert is_valid = 1;\n\n return (quotient_low=quotient_low, quotient_high=quotient_high, remainder=remainder);\n}\n\n// Returns the bitwise NOT of an integer.\nfunc uint256_not{range_check_ptr}(a: Uint256) -> (res: Uint256) {\n return (res=Uint256(low=ALL_ONES - a.low, high=ALL_ONES - a.high));\n}\n\n// Returns the negation of an integer.\n// Note that the negation of -2**255 is -2**255.\nfunc uint256_neg{range_check_ptr}(a: Uint256) -> (res: Uint256) {\n let (not_num) = uint256_not(a);\n let (res, _) = uint256_add(not_num, Uint256(low=1, high=0));\n return (res=res);\n}\n\n// Conditionally negates an integer.\nfunc uint256_cond_neg{range_check_ptr}(a: Uint256, should_neg) -> (res: Uint256) {\n if (should_neg != 0) {\n return uint256_neg(a);\n } else {\n return (res=a);\n }\n}\n\n// Signed integer division between two integers. Returns the quotient and the remainder.\n// Conforms to EVM specifications.\n// See ethereum yellow paper (https://ethereum.github.io/yellowpaper/paper.pdf, page 29).\n// Note that the remainder may be negative if one of the inputs is negative and that\n// (-2**255) / (-1) = -2**255 because 2*255 is out of range.\nfunc uint256_signed_div_rem{range_check_ptr}(a: Uint256, div: Uint256) -> (\n quot: Uint256, rem: Uint256\n) {\n alloc_locals;\n\n // When div=-1, simply return -a.\n if (div.low == SHIFT - 1 and div.high == SHIFT - 1) {\n let (quot) = uint256_neg(a);\n return (quot, cast((0, 0), Uint256));\n }\n\n // Take the absolute value of a.\n local a_sign = is_le(2 ** 127, a.high);\n local range_check_ptr = range_check_ptr;\n let (local a) = uint256_cond_neg(a, should_neg=a_sign);\n\n // Take the absolute value of div.\n local div_sign = is_le(2 ** 127, div.high);\n local range_check_ptr = range_check_ptr;\n let (div) = uint256_cond_neg(div, should_neg=div_sign);\n\n // Unsigned division.\n let (local quot, local rem) = uint256_unsigned_div_rem(a, div);\n local range_check_ptr = range_check_ptr;\n\n // Fix the remainder according to the sign of a.\n let (rem) = uint256_cond_neg(rem, should_neg=a_sign);\n\n // Fix the quotient according to the signs of a and div.\n if (a_sign == div_sign) {\n return (quot=quot, rem=rem);\n }\n let (local quot_neg) = uint256_neg(quot);\n\n return (quot=quot_neg, rem=rem);\n}\n\n// Subtracts two integers. Returns the result as a 256-bit integer.\nfunc uint256_sub{range_check_ptr}(a: Uint256, b: Uint256) -> (res: Uint256) {\n let (b_neg) = uint256_neg(b);\n let (res, _) = uint256_add(a, b_neg);\n return (res=res);\n}\n\n// Bitwise.\n\n// Return true if both integers are equal.\nfunc uint256_eq{range_check_ptr}(a: Uint256, b: Uint256) -> (res: felt) {\n if (a.high != b.high) {\n return (res=0);\n }\n if (a.low != b.low) {\n return (res=0);\n }\n return (res=1);\n}\n\n// Computes the bitwise XOR of 2 uint256 integers.\nfunc uint256_xor{range_check_ptr, bitwise_ptr: BitwiseBuiltin*}(a: Uint256, b: Uint256) -> (\n res: Uint256\n) {\n let (low) = bitwise_xor(a.low, b.low);\n let (high) = bitwise_xor(a.high, b.high);\n return (res=Uint256(low, high));\n}\n\n// Computes the bitwise AND of 2 uint256 integers.\nfunc uint256_and{range_check_ptr, bitwise_ptr: BitwiseBuiltin*}(a: Uint256, b: Uint256) -> (\n res: Uint256\n) {\n let (low) = bitwise_and(a.low, b.low);\n let (high) = bitwise_and(a.high, b.high);\n return (res=Uint256(low, high));\n}\n\n// Computes the bitwise OR of 2 uint256 integers.\nfunc uint256_or{range_check_ptr, bitwise_ptr: BitwiseBuiltin*}(a: Uint256, b: Uint256) -> (\n res: Uint256\n) {\n let (low) = bitwise_or(a.low, b.low);\n let (high) = bitwise_or(a.high, b.high);\n return (res=Uint256(low, high));\n}\n\n// Computes 2**exp % 2**256 as a uint256 integer.\nfunc uint256_pow2{range_check_ptr}(exp: Uint256) -> (res: Uint256) {\n // If exp >= 256, the result will be zero modulo 2**256.\n let (res) = uint256_lt(exp, Uint256(256, 0));\n if (res == 0) {\n return (res=Uint256(0, 0));\n }\n\n if (is_le(exp.low, 127) != 0) {\n let (x) = pow(2, exp.low);\n return (res=Uint256(x, 0));\n } else {\n let (x) = pow(2, exp.low - 128);\n return (res=Uint256(0, x));\n }\n}\n\n// Computes the logical left shift of a uint256 integer.\nfunc uint256_shl{range_check_ptr}(a: Uint256, b: Uint256) -> (res: Uint256) {\n let (c) = uint256_pow2(b);\n let (res, _) = uint256_mul(a, c);\n return (res=res);\n}\n\n// Computes the logical right shift of a uint256 integer.\nfunc uint256_shr{range_check_ptr}(a: Uint256, b: Uint256) -> (res: Uint256) {\n let (c) = uint256_pow2(b);\n let (res, _) = uint256_unsigned_div_rem(a, c);\n return (res=res);\n}\n\n// Reverses byte endianness of a 128-bit word.\n//\n// The algorithm works in steps. Generally\u00a0speaking, on the i-th step,\n// we switch between every two consecutive sequences of 2 ** i bytes.\n// To illustrate how it works, here are the steps when running\n// on a 64-bit word = [b0, b1, b2, b3, b4, b5, b6, b7] (3 steps instead of 4):\n//\n// step 1:\n// [b0, b1, b2, b3, b4, b5, b6, b7] -\n// [b0,\u00a00,\u00a0 b2, 0,\u00a0 b4, 0,\u00a0 b6, 0 ] +\n// [0,\u00a0 0,\u00a0 b0, 0,\u00a0 b2, 0,\u00a0 b4, 0, b6] =\n// [0,\u00a0 b1, b0, b3, b2, b5, b4, b7, b6]\n//\n// step 2:\n// [0, b1, b0, b3, b2, b5, b4, b7, b6] -\n// [0, b1, b0, 0,\u00a0 0,\u00a0 b5, b4, 0,\u00a0 0 ]\u00a0+\n// [0, 0,\u00a0 0,\u00a0\u00a00,\u00a0 0,\u00a0\u00a0b1, b0, 0,\u00a0\u00a00,\u00a0 b5, b4] =\n// [0, 0,\u00a0 0,\u00a0\u00a0b3, b2, b1, b0,\u00a0b7, b6, b5, b4]\n//\n// step 3:\n// [0, 0, 0, b3, b2, b1, b0,\u00a0b7, b6, b5, b4] -\n// [0, 0, 0, b3, b2, b1, b0, 0,\u00a0 0,\u00a0\u00a00,\u00a0\u00a00 ] +\n// [0, 0, 0, 0,\u00a0 0,\u00a0\u00a00,\u00a0\u00a00,\u00a0\u00a00,\u00a0\u00a00,\u00a0\u00a00,\u00a0\u00a00, b3, b2, b1, b0] =\n// [0, 0, 0, 0,\u00a0 0,\u00a0\u00a00,\u00a0\u00a00,\u00a0\u00a0b7, b6, b5, b4, b3, b2, b1, b0]\n//\n// Next, we divide by 2 ** (8\u00a0+ 16\u00a0+ 32) and get [b7, b6, b5, b4, b3, b2, b1, b0].\nfunc word_reverse_endian{bitwise_ptr: BitwiseBuiltin*}(word: felt) -> (res: felt) {\n // Step 1.\n assert bitwise_ptr[0].x = word;\n assert bitwise_ptr[0].y = 0x00ff00ff00ff00ff00ff00ff00ff00ff;\n tempvar word = word + (2 ** 16 - 1) * bitwise_ptr[0].x_and_y;\n // Step 2.\n assert bitwise_ptr[1].x = word;\n assert bitwise_ptr[1].y = 0x00ffff0000ffff0000ffff0000ffff00;\n tempvar word = word + (2 ** 32 - 1) * bitwise_ptr[1].x_and_y;\n // Step 3.\n assert bitwise_ptr[2].x = word;\n assert bitwise_ptr[2].y = 0x00ffffffff00000000ffffffff000000;\n tempvar word = word + (2 ** 64 - 1) * bitwise_ptr[2].x_and_y;\n // Step 4.\n assert bitwise_ptr[3].x = word;\n assert bitwise_ptr[3].y = 0x00ffffffffffffffff00000000000000;\n tempvar word = word + (2 ** 128 - 1) * bitwise_ptr[3].x_and_y;\n\n let bitwise_ptr = bitwise_ptr + 4 * BitwiseBuiltin.SIZE;\n return (res=word / 2 ** (8 + 16 + 32 + 64));\n}\n\n// Reverses byte endianness of a uint256 integer.\nfunc uint256_reverse_endian{bitwise_ptr: BitwiseBuiltin*}(num: Uint256) -> (res: Uint256) {\n let (high) = word_reverse_endian(num.high);\n let (low) = word_reverse_endian(num.low);\n\n return (res=Uint256(low=high, high=low));\n}\n\n// Assertions:\n\nfunc assert_uint256_eq{range_check_ptr}(a: Uint256, b: Uint256) {\n let (res) = uint256_eq(a, b);\n with_attr error_message(\"assert_uint256_eq failed\") {\n assert res = 1;\n }\n return ();\n}\n\nfunc assert_uint256_lt{range_check_ptr}(a: Uint256, b: Uint256) {\n let (res) = uint256_lt(a, b);\n with_attr error_message(\"assert_uint256_lt failed\") {\n assert res = 1;\n }\n return ();\n}\n\nfunc assert_uint256_le{range_check_ptr}(a: Uint256, b: Uint256) {\n let (res) = uint256_le(a, b);\n with_attr error_message(\"assert_uint256_le failed\") {\n assert res = 1;\n }\n return ();\n}\n", + "/var/lib/engflow/worker/exec/bazel-out/k8-opt-exec-4C6BFEDB-ST-03cbce6a7308/bin/src/starkware/cairo/lang/compiler/cairo_compile_exe.runfiles/__main__/src/starkware/cairo/lang/compiler/lib/registers.cairo": "// Returns the contents of the fp and pc registers of the calling function.\n// The pc register's value is the address of the instruction that follows directly after the\n// invocation of get_fp_and_pc().\nfunc get_fp_and_pc() -> (fp_val: felt*, pc_val: felt*) {\n // The call instruction itself already places the old fp and the return pc at\n // [ap - 2], [ap - 1].\n return (fp_val=cast([ap - 2], felt*), pc_val=cast([ap - 1], felt*));\n}\n\n// Returns the content of the ap register just before this function was invoked.\n@known_ap_change\nfunc get_ap() -> (ap_val: felt*) {\n // Once get_ap() is invoked, fp points to ap + 2 (since the call instruction placed the old fp\n // and pc in memory, advancing ap accordingly).\n // Hence, the desired ap value is fp - 2.\n let (fp_val, pc_val) = get_fp_and_pc();\n return (ap_val=fp_val - 2);\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/bootloaders/simple_bootloader/execute_task.cairo": "from starkware.cairo.builtin_selection.inner_select_builtins import inner_select_builtins\nfrom starkware.cairo.builtin_selection.select_input_builtins import select_input_builtins\nfrom starkware.cairo.builtin_selection.validate_builtins import validate_builtins\nfrom starkware.cairo.common.builtin_poseidon.poseidon import PoseidonBuiltin, poseidon_hash_many\nfrom starkware.cairo.common.cairo_blake2s.blake2s import encode_felt252_data_and_calc_blake_hash\nfrom starkware.cairo.common.cairo_builtins import HashBuiltin\nfrom starkware.cairo.common.hash_chain import hash_chain\nfrom starkware.cairo.common.math import assert_not_nullptr\nfrom starkware.cairo.common.registers import get_ap, get_fp_and_pc\n\nconst BOOTLOADER_VERSION = 0;\n\nconst PEDERSEN_HASH = 0;\nconst POSEIDON_HASH = 1;\nconst BLAKE_HASH = 2;\n\n// This struct contains the previous task hash, segment and hash function.\n// It is used to optimize the execution of the tasks by reusing the previous task's hash and segment\n// if the current task is identical to the previous one.\nstruct PrevProgramTaskParams {\n prev_hash: felt,\n prev_program_segment_ptr: felt*,\n prev_program_hash_function: felt,\n}\n\n// Use an empty struct to encode an arbitrary-length array.\nstruct BuiltinList {\n}\n\nstruct ProgramHeader {\n // The data length field specifies the length of the data (i.e., program header + program)\n // and guarantees unique decoding of the program hash.\n data_length: felt,\n bootloader_version: felt,\n program_main: felt,\n n_builtins: felt,\n // 'builtin_list' is a continuous memory segment containing the ASCII encoding of the (ordered)\n // builtins used by the program.\n builtin_list: BuiltinList,\n}\n\nstruct BuiltinData {\n output: felt,\n pedersen: felt,\n range_check: felt,\n ecdsa: felt,\n bitwise: felt,\n ec_op: felt,\n keccak: felt,\n poseidon: felt,\n range_check96: felt,\n add_mod: felt,\n mul_mod: felt,\n}\n\n// Computes the hash of a program.\n// Arguments:\n// * program_segment_ptr - the pointer to the program to be hashed.\n// * program_hash_function - determines which hash function is to be used.\n// Return values:\n// * hash - the computed program hash.\nfunc compute_program_hash{\n pedersen_ptr: HashBuiltin*, poseidon_ptr: PoseidonBuiltin*, self_range_check_ptr: felt\n}(program_segment_ptr: felt*, program_hash_function: felt) -> (hash: felt) {\n if (program_hash_function == BLAKE_HASH) {\n let (hash) = encode_felt252_data_and_calc_blake_hash{range_check_ptr=self_range_check_ptr}(\n data_len=program_segment_ptr[0], data=&program_segment_ptr[1]\n );\n return (hash=hash);\n }\n if (program_hash_function == PEDERSEN_HASH) {\n let (hash) = hash_chain{hash_ptr=pedersen_ptr}(data_ptr=program_segment_ptr);\n return (hash=hash);\n }\n assert program_hash_function = POSEIDON_HASH;\n let (hash) = poseidon_hash_many{poseidon_ptr=poseidon_ptr}(\n n=program_segment_ptr[0], elements=&program_segment_ptr[1]\n );\n return (hash=hash);\n}\n\n// Loads the program header and calculates the program hash.\n// Arguments:\n// * program_hash_function - determines the hashing type.\n// Return values:\n// * program_hash - the computed program hash.\n// * program_segment_ptr - the pointer to the program segment.\nfunc load_program_segment{\n pedersen_ptr: HashBuiltin*,\n poseidon_ptr: PoseidonBuiltin*,\n self_range_check_ptr: felt,\n prev_program_task_params: PrevProgramTaskParams*,\n}(program_hash_function: felt) -> (program_hash: felt, program_segment_ptr: felt*) {\n // Allocate memory for local variables.\n alloc_locals;\n\n local use_prev_hash: felt;\n\n %{ DETERMINE_USE_PREV_HASH %}\n\n if (use_prev_hash != 0) {\n assert program_hash_function = prev_program_task_params.prev_program_hash_function;\n assert_not_nullptr(prev_program_task_params.prev_program_segment_ptr);\n return (\n prev_program_task_params.prev_hash, prev_program_task_params.prev_program_segment_ptr\n );\n }\n\n local program_segment_ptr: felt*;\n let program_header = cast(program_segment_ptr, ProgramHeader*);\n\n %{ LOAD_PROGRAM_SEGMENT %}\n\n // Verify that the bootloader version is compatible with the bootloader.\n assert program_header.bootloader_version = BOOTLOADER_VERSION;\n\n // Call hash_chain, to verify the program hash.\n let (program_hash) = compute_program_hash(\n program_segment_ptr=program_segment_ptr, program_hash_function=program_hash_function\n );\n // Update `prev_program_task_params`.\n tempvar prev_program_task_params = new PrevProgramTaskParams(\n prev_hash=program_hash,\n prev_program_segment_ptr=program_segment_ptr,\n prev_program_hash_function=program_hash_function,\n );\n\n return (program_hash, program_segment_ptr);\n}\n\n// Executes a single task.\n// The task is passed in the 'task' hint variable.\n// Outputs of the task are prefixed by:\n// a. Output size (including this prefix)\n// b. hash_chain(ProgramHeader || task.program.data) where ProgramHeader is defined below.\n// The function returns a pointer to the updated builtin pointers after executing the task.\n// Hint argument: `vm_ecdsa_additional_data` - stores the signatures if the ecdsa builtin was\n// used, but the ecdsa runner wasn't initialized.\nfunc execute_task{\n builtin_ptrs: BuiltinData*,\n self_range_check_ptr: felt,\n prev_program_task_params: PrevProgramTaskParams*,\n}(\n builtin_encodings: BuiltinData*,\n builtin_instance_sizes: BuiltinData*,\n program_hash_function: felt,\n) {\n // Allocate memory for local variables.\n alloc_locals;\n\n // Load the builtin pointers for computing the program hash.\n let pedersen_ptr = cast(builtin_ptrs.pedersen, HashBuiltin*);\n let poseidon_ptr = cast(builtin_ptrs.poseidon, PoseidonBuiltin*);\n with pedersen_ptr, poseidon_ptr {\n // Load the program segment and compute the program hash.\n let (program_hash: felt, program_segment_ptr: felt*) = load_program_segment(\n program_hash_function=program_hash_function\n );\n }\n\n // Get the value of fp.\n let (local __fp__, _) = get_fp_and_pc();\n // The struct of input builtin pointers pointed by the given builtin_ptrs.\n local output_ptr = builtin_ptrs.output;\n\n // Write hash_chain result to output_ptr + 1.\n assert [output_ptr + 1] = program_hash;\n\n let program_header: ProgramHeader* = cast(program_segment_ptr, ProgramHeader*);\n\n // Set the program entry point, so the bootloader can later run the program.\n local builtin_list: felt* = &program_header.builtin_list;\n local n_builtins = program_header.n_builtins;\n tempvar program_address = builtin_list + n_builtins;\n %{\n # Sanity check.\n assert ids.program_address == program_address\n %}\n tempvar program_main = program_header.program_main;\n // The address in memory where the main function of the task is loaded.\n local program_entry_point: felt* = program_address + program_main;\n\n // Fill in all builtin pointers which may be used by the task.\n // Skip the 2 slots prefix that we add to the task output.\n local pre_execution_builtin_ptrs: BuiltinData = BuiltinData(\n output=output_ptr + 2,\n pedersen=cast(pedersen_ptr, felt),\n range_check=builtin_ptrs.range_check,\n ecdsa=builtin_ptrs.ecdsa,\n bitwise=builtin_ptrs.bitwise,\n ec_op=builtin_ptrs.ec_op,\n keccak=builtin_ptrs.keccak,\n poseidon=cast(poseidon_ptr, felt),\n range_check96=builtin_ptrs.range_check96,\n add_mod=builtin_ptrs.add_mod,\n mul_mod=builtin_ptrs.mul_mod,\n );\n\n // Call select_input_builtins to get the relevant input builtin pointers for the task.\n select_input_builtins(\n all_encodings=builtin_encodings,\n all_ptrs=&pre_execution_builtin_ptrs,\n n_all_builtins=BuiltinData.SIZE,\n selected_encodings=builtin_list,\n n_selected_builtins=n_builtins,\n );\n\n call_task:\n %{\n from starkware.cairo.bootloaders.simple_bootloader.objects import (\n CairoPieTask,\n RunProgramTask,\n Task,\n )\n from starkware.cairo.bootloaders.simple_bootloader.utils import (\n load_cairo_pie,\n prepare_output_runner,\n )\n\n assert isinstance(task, Task)\n n_builtins = len(task.get_program().builtins)\n new_task_locals = {}\n if isinstance(task, RunProgramTask):\n new_task_locals['program_input'] = task.program_input\n new_task_locals['WITH_BOOTLOADER'] = True\n\n vm_load_program(task.program, program_address)\n elif isinstance(task, CairoPieTask):\n ret_pc = ids.ret_pc_label.instruction_offset_ - ids.call_task.instruction_offset_ + pc\n load_cairo_pie(\n task=task.cairo_pie, memory=memory, segments=segments,\n program_address=program_address, execution_segment_address= ap - n_builtins,\n builtin_runners=builtin_runners, ret_fp=fp, ret_pc=ret_pc,\n ecdsa_additional_data=vm_ecdsa_additional_data)\n else:\n raise NotImplementedError(f'Unexpected task type: {type(task).__name__}.')\n\n output_runner_data = prepare_output_runner(\n task=task,\n output_builtin=output_builtin,\n output_ptr=ids.pre_execution_builtin_ptrs.output)\n vm_enter_scope(new_task_locals)\n %}\n\n // Call the inner program's main() function.\n call abs program_entry_point;\n\n ret_pc_label:\n %{\n vm_exit_scope()\n # Note that bootloader_input will only be available in the next hint.\n %}\n\n // Note that used_builtins_addr cannot be set in a hint because doing so will allow a malicious\n // prover to lie about the outputs of a valid program.\n let (ap_val) = get_ap();\n local used_builtins_addr: felt* = cast(ap_val - n_builtins, felt*);\n\n // Call inner_select_builtins to validate that the values of the builtin pointers for the next\n // task are updated according to the task return builtin pointers.\n\n // Allocate a struct containing all builtin pointers just after the program returns.\n local return_builtin_ptrs: BuiltinData;\n %{\n from starkware.cairo.bootloaders.simple_bootloader.utils import write_return_builtins\n\n # Fill the values of all builtin pointers after executing the task.\n builtins = task.get_program().builtins\n write_return_builtins(\n memory=memory, return_builtins_addr=ids.return_builtin_ptrs.address_,\n used_builtins=builtins, used_builtins_addr=ids.used_builtins_addr,\n pre_execution_builtins_addr=ids.pre_execution_builtin_ptrs.address_, task=task)\n\n vm_enter_scope({'n_selected_builtins': n_builtins})\n %}\n let select_builtins_ret = inner_select_builtins(\n all_encodings=builtin_encodings,\n all_ptrs=&return_builtin_ptrs,\n selected_encodings=builtin_list,\n selected_ptrs=used_builtins_addr,\n n_builtins=BuiltinData.SIZE,\n );\n %{ vm_exit_scope() %}\n\n // Assert that the correct number of builtins was selected.\n // Note that builtin_list is a pointer to the list containing the selected encodings.\n assert n_builtins = select_builtins_ret.selected_encodings_end - builtin_list;\n\n // Call validate_builtins to validate that the builtin pointers have advanced correctly.\n validate_builtins{range_check_ptr=self_range_check_ptr}(\n prev_builtin_ptrs=&pre_execution_builtin_ptrs,\n new_builtin_ptrs=&return_builtin_ptrs,\n builtin_instance_sizes=builtin_instance_sizes,\n n_builtins=BuiltinData.SIZE,\n );\n\n // Verify that [output_ptr] = return_builtin_ptrs.output - output_ptr.\n // Output size should be 2 + the number of output slots that were consumed by the task.\n local output_size = return_builtin_ptrs.output - output_ptr;\n assert [output_ptr] = output_size;\n\n %{\n from starkware.cairo.bootloaders.simple_bootloader.utils import get_task_fact_topology\n\n # Add the fact topology of the current task to 'fact_topologies'.\n output_start = ids.pre_execution_builtin_ptrs.output\n output_end = ids.return_builtin_ptrs.output\n fact_topologies.append(get_task_fact_topology(\n output_size=output_end - output_start,\n task=task,\n output_builtin=output_builtin,\n output_runner_data=output_runner_data,\n ))\n %}\n\n let builtin_ptrs = &return_builtin_ptrs;\n\n return ();\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/bootloaders/simple_bootloader/run_simple_bootloader.cairo": "from starkware.cairo.bootloaders.simple_bootloader.execute_task import (\n BuiltinData,\n PrevProgramTaskParams,\n execute_task,\n)\nfrom starkware.cairo.common.cairo_builtins import HashBuiltin, PoseidonBuiltin\nfrom starkware.cairo.common.registers import get_fp_and_pc\nfrom starkware.cairo.common.segments import relocate_segment\n\n// Loads the given tasks and executes them.\n// Outputs the program hashes of the tasks, and their outputs.\n//\n// Hint Arguments:\n// simple_bootloader_input - contains the tasks to execute.\n//\n// Returns (written to output_ptr):\n// - The number of tasks executed.\n// - For each task:\n// - Size.\n// - Program hash.\n// - The output of the program (of length=Size-2).\n//\n// Furthermore, returns:\n// Updated builtin pointers after executing all programs.\n// fact_topologies - that corresponds to the tasks (hint variable).\nfunc run_simple_bootloader{\n output_ptr: felt*,\n pedersen_ptr: HashBuiltin*,\n range_check_ptr,\n ecdsa_ptr,\n bitwise_ptr,\n ec_op_ptr,\n keccak_ptr,\n poseidon_ptr: PoseidonBuiltin*,\n range_check96_ptr,\n add_mod_ptr,\n mul_mod_ptr,\n}() {\n alloc_locals;\n\n local initial_subtasks_range_check_ptr;\n\n // The following hint is used to:\n // 1. Write the number of tasks into `output_ptr[0]`.\n // 2. Set `initial_subtasks_range_check_ptr` to a new temporary segment.\n // 3. Initialize the `fact_topologies` hint variable to an empty array.\n %{ SETUP_RUN_SIMPLE_BOOTLOADER_BEFORE_TASK_EXECUTION %}\n\n let n_tasks = [output_ptr];\n let output_ptr = output_ptr + 1;\n\n // A struct containing the pointer to each builtin.\n local builtin_ptrs_before: BuiltinData = BuiltinData(\n output=cast(output_ptr, felt),\n pedersen=cast(pedersen_ptr, felt),\n range_check=initial_subtasks_range_check_ptr,\n ecdsa=ecdsa_ptr,\n bitwise=bitwise_ptr,\n ec_op=ec_op_ptr,\n keccak=keccak_ptr,\n poseidon=cast(poseidon_ptr, felt),\n range_check96=range_check96_ptr,\n add_mod=add_mod_ptr,\n mul_mod=mul_mod_ptr,\n );\n\n // A struct containing the encoding of each builtin.\n local builtin_encodings: BuiltinData = BuiltinData(\n output='output',\n pedersen='pedersen',\n range_check='range_check',\n ecdsa='ecdsa',\n bitwise='bitwise',\n ec_op='ec_op',\n keccak='keccak',\n poseidon='poseidon',\n range_check96='range_check96',\n add_mod='add_mod',\n mul_mod='mul_mod',\n );\n\n local builtin_instance_sizes: BuiltinData = BuiltinData(\n output=1,\n pedersen=3,\n range_check=1,\n ecdsa=2,\n bitwise=5,\n ec_op=7,\n keccak=16,\n poseidon=6,\n range_check96=1,\n add_mod=7,\n mul_mod=7,\n );\n\n // Call execute_tasks.\n let (__fp__, _) = get_fp_and_pc();\n\n %{ tasks = simple_bootloader_input.tasks %}\n let builtin_ptrs = &builtin_ptrs_before;\n let self_range_check_ptr = range_check_ptr;\n // The first prev task is a dummy task as we don't have a previous task to compare to.\n tempvar prev_program_task_params = new PrevProgramTaskParams(\n prev_hash=0, prev_program_segment_ptr=cast(0, felt*), prev_program_hash_function=-1\n );\n with builtin_ptrs, self_range_check_ptr, prev_program_task_params {\n execute_tasks(\n builtin_encodings=&builtin_encodings,\n builtin_instance_sizes=&builtin_instance_sizes,\n n_tasks=n_tasks,\n );\n }\n\n // Relocate the range checks used by the subtasks after the range checks used by the bootloader.\n relocate_segment(\n src_ptr=cast(initial_subtasks_range_check_ptr, felt*),\n dest_ptr=cast(self_range_check_ptr, felt*),\n );\n\n // Return the updated builtin pointers.\n local builtin_ptrs: BuiltinData* = builtin_ptrs;\n let output_ptr = cast(builtin_ptrs.output, felt*);\n let pedersen_ptr = cast(builtin_ptrs.pedersen, HashBuiltin*);\n let range_check_ptr = builtin_ptrs.range_check;\n let ecdsa_ptr = builtin_ptrs.ecdsa;\n let bitwise_ptr = builtin_ptrs.bitwise;\n let ec_op_ptr = builtin_ptrs.ec_op;\n let keccak_ptr = builtin_ptrs.keccak;\n let poseidon_ptr = cast(builtin_ptrs.poseidon, PoseidonBuiltin*);\n let range_check96_ptr = builtin_ptrs.range_check96;\n let add_mod_ptr = builtin_ptrs.add_mod;\n let mul_mod_ptr = builtin_ptrs.mul_mod;\n\n // 'execute_tasks' runs untrusted code and uses the range_check builtin to verify that\n // the builtin pointers were advanced correctly by said code.\n // Since range_check itself is used for the verification, we cannot assume that the verification\n // above is sound unless we know that the self range checks that were used during verification\n // are indeed valid (that is, within the segment of the range_check builtin).\n // Following the Cairo calling convention, we can guarantee the validity of the self range\n // checks by making sure that range_check_ptr >= self_range_check_ptr.\n // The following check validates that the inequality above holds without using the range check\n // builtin.\n let additional_range_checks = range_check_ptr - self_range_check_ptr;\n verify_non_negative(num=additional_range_checks, n_bits=64);\n\n return ();\n}\n\n// Verifies that a field element is in the range [0, 2^n_bits), without relying on the range_check\n// builtin.\nfunc verify_non_negative(num: felt, n_bits: felt) {\n if (n_bits == 0) {\n assert num = 0;\n return ();\n }\n\n tempvar num_div2 = nondet %{ ids.num // 2 %};\n tempvar bit = num - (num_div2 + num_div2);\n // Check that bit is 0 or 1.\n assert bit = bit * bit;\n return verify_non_negative(num=num_div2, n_bits=n_bits - 1);\n}\n\n// Executes the last n_tasks from simple_bootloader_input.tasks.\n//\n// Arguments:\n// builtin_encodings - String encodings of the builtins.\n// builtin_instance_sizes - Mapping to builtin sizes.\n// n_tasks - The number of tasks to execute.\n//\n// Implicit arguments:\n// builtin_ptrs - Pointer to the builtin pointers before/after executing the tasks.\n// self_range_check_ptr - range_check pointer (used for validating the builtins).\n// prev_program_task_params - The parameters of the previous program task. Used for\n// optimization by reusing the previous task's hash and segment if the current\n// task is identical to the previous one.\n//\n// Hint arguments:\n// tasks - A list of tasks to execute.\nfunc execute_tasks{\n builtin_ptrs: BuiltinData*,\n self_range_check_ptr,\n prev_program_task_params: PrevProgramTaskParams*,\n}(builtin_encodings: BuiltinData*, builtin_instance_sizes: BuiltinData*, n_tasks: felt) {\n if (n_tasks == 0) {\n return ();\n }\n\n %{ SIMPLE_BOOTLOADER_SET_CURRENT_TASK %}\n tempvar program_hash_function = nondet %{ task.program_hash_function %};\n // Call execute_task to execute the current task.\n execute_task(\n builtin_encodings=builtin_encodings,\n builtin_instance_sizes=builtin_instance_sizes,\n program_hash_function=program_hash_function,\n );\n\n return execute_tasks(\n builtin_encodings=builtin_encodings,\n builtin_instance_sizes=builtin_instance_sizes,\n n_tasks=n_tasks - 1,\n );\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/bootloaders/simple_bootloader/verify_builtins.cairo": "from starkware.cairo.common.alloc import alloc\nfrom starkware.cairo.common.cairo_builtins import (\n BitwiseBuiltin,\n EcOpBuiltin,\n KeccakBuiltin,\n ModBuiltin,\n SignatureBuiltin,\n)\nfrom starkware.cairo.common.cairo_ec_op.ec_op import verify_simulate_builtin_ec_op_with_cairo\nfrom starkware.cairo.common.cairo_ecdsa.ecdsa import check_ecdsa_signature_cairo\nfrom starkware.cairo.common.cairo_keccak.keccak import KECCAK_STATE_SIZE_FELTS, finalize_keccak\nfrom starkware.cairo.common.ec_point import EcPoint\nfrom starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak import (\n keccak_builtin_state_to_felts,\n)\n\n// Given a range in a memory segment, assumed to contain only EcOpBuiltin instances, verifies that\n// all the EcOpBuiltin instances have the correct values in memory.\nfunc verify_ec_op_builtin(start: EcOpBuiltin*, end: EcOpBuiltin*) {\n if (start == end) {\n return ();\n }\n verify_simulate_builtin_ec_op_with_cairo(input=[start]);\n return verify_ec_op_builtin(start=start + EcOpBuiltin.SIZE, end=end);\n}\n\n// Handles the case where the ec_op pointer is uninitialized. That is, not included in the layout.\n// If the pointer is uninitialized, it is initialized to a new pointer, and an auto-deduction rule\n// is added to the segment to mimic the behavior of the ec_op builtin.\n// If the pointer is initialized, it is left unchanged.\nfunc handle_uninitialized_ec_op_builtin(ec_op_ptr: felt) -> (ec_op_ptr: felt) {\n if (ec_op_ptr != 0) {\n return (ec_op_ptr=ec_op_ptr);\n }\n alloc_locals;\n local new_ec_op_ptr;\n %{\n from starkware.cairo.lang.builtins.ec.ec_op_builtin_runner import (\n ec_op_auto_deduction_rule_wrapper,\n )\n ids.new_ec_op_ptr = segments.add()\n vm_add_auto_deduction_rule(\n segment_index=ids.new_ec_op_ptr.segment_index,\n rule=ec_op_auto_deduction_rule_wrapper(ec_op_cache={}),\n )\n %}\n return (ec_op_ptr=new_ec_op_ptr);\n}\n\n// Handles the verification of the ec_op builtin if it was simulated and not included in the layout.\n// If the pointer was initialized by the layout, the function does nothing.\nfunc handle_ec_op_builtin_verification(\n ec_op_ptr: felt, ec_op_ptr_orig: felt, ec_op_start_ptr: felt\n) -> (ec_op_ptr: felt) {\n if (ec_op_ptr_orig != 0) {\n return (ec_op_ptr=ec_op_ptr);\n }\n verify_ec_op_builtin(\n start=cast(ec_op_start_ptr, EcOpBuiltin*), end=cast(ec_op_ptr, EcOpBuiltin*)\n );\n return (ec_op_ptr=ec_op_ptr_orig);\n}\n\n// Given a range in a memory segment, assumed to contain only KeccakBuiltin instances, converts\n// the input-output pairs of each instance into a representation of 25 felts each, and writes them\n// to a new memory segment pointed by output_array.\nfunc convert_keccak_builtin_into_25_rep_array{range_check_ptr: felt}(\n builtin_start: KeccakBuiltin*, builtin_end: KeccakBuiltin*, output_array: felt*\n) -> (output_array_end: felt*) {\n if (builtin_start == builtin_end) {\n return (output_array_end=output_array);\n }\n keccak_builtin_state_to_felts(\n keccak_builtin_state=builtin_start.input, felt_array=output_array\n );\n let output_array = output_array + KECCAK_STATE_SIZE_FELTS;\n keccak_builtin_state_to_felts(\n keccak_builtin_state=builtin_start.output, felt_array=output_array\n );\n let output_array = output_array + KECCAK_STATE_SIZE_FELTS;\n return convert_keccak_builtin_into_25_rep_array(\n builtin_start=builtin_start + KeccakBuiltin.SIZE,\n builtin_end=builtin_end,\n output_array=output_array,\n );\n}\n\n// Handles the case where the keccak pointer is uninitialized. That is, not included in the layout.\n// If the pointer is uninitialized, it is initialized to a new pointer, and an auto-deduction rule\n// is added to the segment to mimic the behavior of the keccak builtin.\n// If the pointer is initialized, it is left unchanged.\nfunc handle_uninitialized_keccak_builtin(keccak_ptr: felt) -> (keccak_ptr: felt) {\n if (keccak_ptr != 0) {\n return (keccak_ptr=keccak_ptr);\n }\n alloc_locals;\n local new_keccak_ptr;\n %{\n from starkware.cairo.common.keccak_utils.keccak_utils import keccak_func\n from starkware.cairo.lang.builtins.keccak.keccak_builtin_runner import (\n keccak_auto_deduction_rule_wrapper,\n )\n ids.new_keccak_ptr = segments.add()\n vm_add_auto_deduction_rule(\n segment_index=ids.new_keccak_ptr.segment_index,\n rule=keccak_auto_deduction_rule_wrapper(keccak_cache={}),\n )\n %}\n return (keccak_ptr=new_keccak_ptr);\n}\n\n// Handles the verification of the keccak builtin if it was simulated and not included in the\n// layout. If the pointer was initialized by the layout, the function does nothing.\nfunc handle_keccak_builtin_verification{range_check_ptr: felt, bitwise_ptr: felt}(\n keccak_ptr: felt, keccak_ptr_orig: felt, keccak_start_ptr: felt\n) -> (keccak_ptr: felt) {\n if (keccak_ptr_orig != 0) {\n return (keccak_ptr=keccak_ptr);\n }\n alloc_locals;\n let (local keccak_25_rep_array_start: felt*) = alloc();\n let (keccak_25_rep_array_end) = convert_keccak_builtin_into_25_rep_array(\n builtin_start=cast(keccak_start_ptr, KeccakBuiltin*),\n builtin_end=cast(keccak_ptr, KeccakBuiltin*),\n output_array=keccak_25_rep_array_start,\n );\n let bitwise_ptr_cast: BitwiseBuiltin* = cast(bitwise_ptr, BitwiseBuiltin*);\n finalize_keccak{bitwise_ptr=bitwise_ptr_cast}(\n keccak_ptr_start=keccak_25_rep_array_start, keccak_ptr_end=keccak_25_rep_array_end\n );\n let bitwise_ptr = cast(bitwise_ptr_cast, felt);\n return (keccak_ptr=keccak_ptr_orig);\n}\n\n// Given a range in a memory segment, assumed to contain only ECDSA builtin instances, verifies\n// that all the ECDSA instances have the correct values in memory.\nfunc verify_ecdsa_builtin{range_check96_ptr: felt, mul_mod_ptr: ModBuiltin*}(\n start: SignatureBuiltin*, end: SignatureBuiltin*\n) {\n if (start == end) {\n return ();\n }\n tempvar r;\n tempvar s;\n %{ (ids.r, ids.s) = vm_ecdsa_additional_data[ids.start.address_] %}\n let (res) = check_ecdsa_signature_cairo(\n message=start.message, public_key=start.pub_key, signature_r=r, signature_s=s\n );\n assert res = 1;\n return verify_ecdsa_builtin(start=start + SignatureBuiltin.SIZE, end=end);\n}\n\n// Handles the case where the ecdsa pointer is uninitialized. That is, not included in the layout.\n// If the pointer is uninitialized, it is initialized to a new pointer, and a validation rule is\n// added to the segment to mimic the behavior of the ecdsa builtin.\n// If the pointer is initialized, it is left unchanged.\nfunc handle_uninitialized_ecdsa_builtin(ecdsa_ptr: felt) -> (ecdsa_ptr: felt) {\n if (ecdsa_ptr != 0) {\n return (ecdsa_ptr=ecdsa_ptr);\n }\n alloc_locals;\n local new_ecdsa_ptr;\n %{\n from starkware.cairo.lang.builtins.signature.signature_builtin_runner import (\n signature_rule_wrapper,\n )\n from starkware.cairo.lang.vm.cairo_runner import verify_ecdsa_sig\n ids.new_ecdsa_ptr = segments.add()\n vm_add_validation_rule(\n segment_index=ids.new_ecdsa_ptr.segment_index,\n rule=signature_rule_wrapper(\n verify_signature_func=verify_ecdsa_sig,\n # Store signatures inside the vm's state. vm_ecdsa_additional_data is dropped\n # into the execution scope by the vm.\n signature_cache=vm_ecdsa_additional_data,\n ),\n )\n %}\n return (ecdsa_ptr=new_ecdsa_ptr);\n}\n\n// Handles the verification of the ecdsa builtin if it was simulated and not included in the\n// layout. If the pointer was initialized by the layout, the function does nothing.\nfunc handle_ecdsa_builtin_verification{mul_mod_ptr: felt, range_check96_ptr: felt}(\n ecdsa_ptr: felt, ecdsa_ptr_orig: felt, ecdsa_start_ptr: felt\n) -> (ecdsa_ptr: felt) {\n if (ecdsa_ptr_orig != 0) {\n return (ecdsa_ptr=ecdsa_ptr);\n }\n let mul_mod_ptr_cast: ModBuiltin* = cast(mul_mod_ptr, ModBuiltin*);\n verify_ecdsa_builtin{mul_mod_ptr=mul_mod_ptr_cast}(\n start=cast(ecdsa_start_ptr, SignatureBuiltin*), end=cast(ecdsa_ptr, SignatureBuiltin*)\n );\n let mul_mod_ptr = cast(mul_mod_ptr_cast, felt);\n return (ecdsa_ptr=ecdsa_ptr_orig);\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/builtin_selection/inner_select_builtins.cairo": "// An helper function to extract selected_ptrs from all_ptrs according to the builtin encodings\n// that appear in the selected_encodings list.\n// The caller needs to pass n_selected_builtins as a hint.\n// Returns a pointer to the next memory slot after the selected_encodings list, see \"Assumptions\".\n//\n// For example, given the following setup:\n// - all_encodings points to [\"output\", \"pedersen\", \"range-check\"].\n// - selected_encodings points to [\"output\", \"range-check\"]\n// - all_ptrs points to [output_ptr, pedersen_ptr, range_check_ptr]\n// - The caller asserts that the return value is selected_encodings + n_selected_builtins(2).\n// The function will check that selected_encodings points to [output_ptr, range_check_ptr].\n//\n// n_builtins is the length of the list of *all pointers*.\n// Assumptions:\n// * The caller has to check that n_selected_builtins = selected_encodings_end - selected_encodings.\n// * All lists are sorted according to the order of builtins input in Cairo programs.\n// * len(selected_encodings) <= len(all_encodings) == len(all_ptrs).\nfunc inner_select_builtins(\n all_encodings: felt*,\n all_ptrs: felt*,\n selected_encodings: felt*,\n selected_ptrs: felt*,\n n_builtins,\n) -> (selected_encodings_end: felt*) {\n // Number of memory cells used when n_builtins = 0.\n const FUNC_MEMORY_NO_BUILTINS = 1;\n // Number of memory cells used *in a single iteration* when n_builtins > 0.\n const FUNC_MEMORY_WITH_BUILTINS = 10;\n\n if (n_builtins == 0) {\n // Return a pointer to the end of the selected_encodings list.\n return (selected_encodings_end=selected_encodings);\n }\n\n alloc_locals;\n // select_builtin equals 1 if the first builtin should be selected and 0 otherwise.\n local select_builtin;\n %{\n # A builtin should be selected iff its encoding appears in the selected encodings list\n # and the list wasn't exhausted.\n # Note that testing inclusion by a single comparison is possible since the lists are sorted.\n ids.select_builtin = int(\n n_selected_builtins > 0 and memory[ids.selected_encodings] == memory[ids.all_encodings])\n if ids.select_builtin:\n n_selected_builtins = n_selected_builtins - 1\n %}\n // Verify that select_builtin is a bit.\n select_builtin = select_builtin * select_builtin;\n\n local curr_builtin_encoding = [all_encodings];\n local curr_builtin_ptr = [all_ptrs];\n\n if (select_builtin != 0) {\n // Verify that the current builtin is indeed selected, by asserting that its encoding\n // appears in the selected encodings list.\n curr_builtin_encoding = [selected_encodings];\n // Copy the current builtin pointer between selected_ptrs and all_ptrs.\n curr_builtin_ptr = [selected_ptrs];\n }\n\n // Advance all list pointers accordingly and continue selection by calling inner_select_builtins\n // recursively.\n // Lists of selected builtins/encodings should advance only if the current builtin was selected.\n return inner_select_builtins(\n all_encodings=all_encodings + 1,\n all_ptrs=all_ptrs + 1,\n selected_encodings=selected_encodings + select_builtin,\n selected_ptrs=selected_ptrs + select_builtin,\n n_builtins=n_builtins - 1,\n );\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/builtin_selection/select_input_builtins.cairo": "from starkware.cairo.builtin_selection.inner_select_builtins import inner_select_builtins\nfrom starkware.cairo.common.registers import get_fp_and_pc\n\n// A wrapper for 'inner_select_builtins' function (see its documentation).\n// Returns the selected builtin pointers (e.g., if n_selected_builtins=2, returns two values).\nfunc select_input_builtins(\n all_encodings: felt*,\n all_ptrs: felt*,\n n_all_builtins: felt,\n selected_encodings: felt*,\n n_selected_builtins,\n) {\n // Number of memory cells used, without taking the inner function memory into account.\n const FUNC_MEMORY_WITHOUT_INNER_FUNC = 11;\n const INNER_FUNC_MEMORY_PER_ITERATION = inner_select_builtins.FUNC_MEMORY_WITH_BUILTINS;\n const INNER_FUNC_MEMORY_FINAL_ITERATION = inner_select_builtins.FUNC_MEMORY_NO_BUILTINS;\n // 'inner_select_builtins' has n_all_builtins iterations, until the final halting one, when\n // called with n_builtins = n_all_builtins.\n let inner_func_memory = n_all_builtins * INNER_FUNC_MEMORY_PER_ITERATION +\n INNER_FUNC_MEMORY_FINAL_ITERATION;\n let total_func_memory = inner_func_memory + FUNC_MEMORY_WITHOUT_INNER_FUNC;\n\n let frame = call get_fp_and_pc;\n // The selected builtin pointers are the return values at the end of the function memory.\n let selected_ptrs = frame.fp_val + total_func_memory;\n %{ vm_enter_scope({'n_selected_builtins': ids.n_selected_builtins}) %}\n let inner_ret = inner_select_builtins(\n all_encodings=all_encodings,\n all_ptrs=all_ptrs,\n selected_encodings=selected_encodings,\n selected_ptrs=selected_ptrs,\n n_builtins=n_all_builtins,\n );\n %{ vm_exit_scope() %}\n // Assert that the correct number of builtins was selected.\n n_selected_builtins = inner_ret.selected_encodings_end - selected_encodings;\n\n ap += n_selected_builtins;\n ret;\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/builtin_selection/validate_builtins.cairo": "// Validates that the builtin pointer of a single builtin was advanced correctly.\n// The inputs are:\n// The previous builtin pointer.\n// The new builtin pointer.\n// The size of the builtin instances.\n// The function validates that the difference between the new builtin pointer and the old builtin\n// pointer is a positive integer divisible by the given builtin instance size.\n//\n// The function consumes 1 range check instance starting at range_check_ptr and returns the\n// updated range check pointer.\nfunc validate_builtin{range_check_ptr}(\n prev_builtin_ptr: felt*, new_builtin_ptr: felt*, builtin_instance_size: felt\n) {\n // Check that the difference is positive and divisible by builtin_instance_size by checking that\n // 0 <= div_res < RANGE_CHECK_BOUND and diff = div_res * builtin_instance_size.\n tempvar diff = new_builtin_ptr - prev_builtin_ptr;\n tempvar div_res = diff / builtin_instance_size;\n div_res = [range_check_ptr];\n let range_check_ptr = range_check_ptr + 1;\n return ();\n}\n\n// Validates that the builtin pointers were advanced correctly.\n//\n// The inputs are:\n// The previous list of builtin pointers.\n// The new list of builtin pointers.\n// The sizes of the builtin instances.\n// The number of builtins.\n//\n// For each builtin the function validates that the difference between the new builtin pointer and\n// the old builtin pointer is a nonnegative integer divisible by the corresponding builtin\n// instance size.\n//\n// The function consumes n_builtins range check instances starting at range_check_ptr and returns\n// the updated range check pointer.\nfunc validate_builtins{range_check_ptr}(\n prev_builtin_ptrs: felt*, new_builtin_ptrs: felt*, builtin_instance_sizes: felt*, n_builtins\n) {\n if (n_builtins == 0) {\n return ();\n }\n\n validate_builtin(\n prev_builtin_ptr=cast([prev_builtin_ptrs], felt*),\n new_builtin_ptr=cast([new_builtin_ptrs], felt*),\n builtin_instance_size=[builtin_instance_sizes],\n );\n\n return validate_builtins(\n prev_builtin_ptrs=prev_builtin_ptrs + 1,\n new_builtin_ptrs=new_builtin_ptrs + 1,\n builtin_instance_sizes=builtin_instance_sizes + 1,\n n_builtins=n_builtins - 1,\n );\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/common/cairo_builtins.cairo": "from starkware.cairo.common.ec_point import EcPoint\nfrom starkware.cairo.common.keccak_state import KeccakBuiltinState\nfrom starkware.cairo.common.poseidon_state import PoseidonBuiltinState\n\n// Specifies the hash builtin memory structure.\nstruct HashBuiltin {\n x: felt,\n y: felt,\n result: felt,\n}\n\n// Specifies the signature builtin memory structure.\nstruct SignatureBuiltin {\n pub_key: felt,\n message: felt,\n}\n\n// Specifies the bitwise builtin memory structure.\nstruct BitwiseBuiltin {\n x: felt,\n y: felt,\n x_and_y: felt,\n x_xor_y: felt,\n x_or_y: felt,\n}\n\n// Specifies the EC operation builtin memory structure.\nstruct EcOpBuiltin {\n p: EcPoint,\n q: EcPoint,\n m: felt,\n r: EcPoint,\n}\n\n// Specifies the Keccak builtin memory structure.\nstruct KeccakBuiltin {\n input: KeccakBuiltinState,\n output: KeccakBuiltinState,\n}\n\n// Specifies the Poseidon builtin memory structure.\nstruct PoseidonBuiltin {\n input: PoseidonBuiltinState,\n output: PoseidonBuiltinState,\n}\n\n// Represents a 384-bit unsigned integer d0 + 2**96 * d1 + 2**192 * d2 + 2**288 * d3\n// where each di is in [0, 2**96).\nstruct UInt384 {\n d0: felt,\n d1: felt,\n d2: felt,\n d3: felt,\n}\n\n// Specifies the Add and Mul Mod builtins memory structure.\nstruct ModBuiltin {\n // The modulus.\n p: UInt384,\n // A pointer to input values, the intermediate results and the output.\n values_ptr: UInt384*,\n // A pointer to offsets inside the values array, defining the circuit.\n // The offsets array should contain 3 * n elements.\n offsets_ptr: felt*,\n // The number of operations to perform.\n n: felt,\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/common/cairo_ec_op/ec_op.cairo": "from src.starkware.cairo.common.ec import StarkCurve, assert_on_curve, ec_add\n\nfrom starkware.cairo.common.alloc import alloc\nfrom starkware.cairo.common.cairo_builtins import EcOpBuiltin\nfrom starkware.cairo.common.ec_point import EcPoint\nfrom starkware.cairo.common.memset import memset\n\nconst M_MAX_BITS = 252;\nconst FIRST_P_POWER = 251;\nconst SECOND_P_POWER = 196;\nconst THIRD_P_POWER = 192;\nconst FOURTH_P_POWER = 0;\n\nfunc ec_mul_cairo{}(m: felt, p: EcPoint) -> (r: EcPoint) {\n return cairo_ec_op(p=EcPoint(x=0, y=0), m=m, q=p);\n}\n\n// Computes p + m * q on the elliptic curve.\n// Because the simulate_builtin_ec_op_with_cairo function cannot handle inputs where additions of\n// points with the same x coordinate arise during the computation, this function adds and subtracts\n// a nondeterministic point s to the computation, so that regardless of input, the probability that\n// such additions arise will become negligibly small.\n// The precise computation is therefore:\n// ((p + s) + m * q) - s\n// so that the inputs to the builtin itself are (p + s), m, and q.\n//\n// Arguments:\n// ec_op_ptr - the ec_op builtin pointer.\n// p - an EC point.\n// m - the multiplication coefficient of Q.\n// q - an EC point.\n//\n// Returns:\n// r = p + m * q.\n//\n// Assumptions:\n// p and q are valid points on the curve.\nfunc cairo_ec_op{}(p: EcPoint, m: felt, q: EcPoint) -> (r: EcPoint) {\n alloc_locals;\n\n // (0, 0), which represents the point at infinity, is the only point with y = 0.\n if (q.y == 0) {\n return (r=p);\n }\n\n local s: EcPoint;\n %{\n from starkware.crypto.signature.signature import ALPHA, BETA, FIELD_PRIME\n from starkware.python.math_utils import random_ec_point\n from starkware.python.utils import to_bytes\n\n # Define a seed for random_ec_point that's dependent on all the input, so that:\n # (1) The added point s is deterministic.\n # (2) It's hard to choose inputs for which the builtin will fail.\n seed = b\"\".join(map(to_bytes, [ids.p.x, ids.p.y, ids.m, ids.q.x, ids.q.y]))\n ids.s.x, ids.s.y = random_ec_point(FIELD_PRIME, ALPHA, BETA, seed)\n %}\n assert_on_curve(s);\n let p_plus_s: EcPoint = ec_add(p, s);\n\n let (r_plus_s) = simulate_builtin_ec_op_with_cairo(p=p_plus_s, m=m, q=q);\n let r: EcPoint = ec_add(r_plus_s, EcPoint(x=s.x, y=-s.y));\n return (r=r);\n}\n\n// Returns the result of the EC operation P + m * Q.\n// where P = (p_x, p_y), Q = (q_x, q_y) are points on the elliptic curve defined as\n// y^2 = x^3 + alpha * x + beta (mod prime).\n\n// Mimics the operation of the AIR, so that this function fails whenever the builtin AIR\n// would not yield a correct result, i.e. when any part of the computation attempts to add\n// two points with the same x coordinate.\nfunc simulate_builtin_ec_op_with_cairo{}(p: EcPoint, m: felt, q: EcPoint) -> (r: EcPoint) {\n alloc_locals;\n // Assert that the points are on the curve and are not the point at infinity.\n tempvar rhs_p = (p.x * p.x + StarkCurve.ALPHA) * p.x + StarkCurve.BETA;\n assert p.y * p.y = rhs_p;\n tempvar rhs_q = (q.x * q.x + StarkCurve.ALPHA) * q.x + StarkCurve.BETA;\n assert q.y * q.y = rhs_q;\n\n let (local m_bit_unpacking: felt*) = alloc(); // Starts from lsb.\n %{\n curr_m = ids.m\n for i in range(ids.M_MAX_BITS):\n memory[ids.m_bit_unpacking + i] = curr_m % 2\n curr_m = curr_m >> 1\n %}\n\n // Verify that the bit unpacking is of a number num smaller than PRIME.\n verify_bit_unpacking_is_reduced(num=m, unpacking=m_bit_unpacking);\n\n // Compute the result.\n let result = _ec_op_inner(\n partial_sum=p, doubled_point=q, m_bit_unpacking=m_bit_unpacking, index=0, curr_m=m\n );\n\n // Assert that the result is on the curve.\n assert_on_curve(p=result);\n\n // Output the result.\n return (r=result);\n}\n\n// Asserts that an EcOpBuiltin instance is valid.\nfunc verify_simulate_builtin_ec_op_with_cairo{}(input: EcOpBuiltin) {\n let (r) = simulate_builtin_ec_op_with_cairo(p=input.p, m=input.m, q=input.q);\n assert input.r = r;\n return ();\n}\n\n// Computes the EC operation partial_sum + curr_m * doubled_point.\n// It is called recursively, with the recursion being terminated when the index reaches M_MAX_BITS.\n// The function also verifies that the bit unpacking is indeed of curr_m (modulo PRIME).\nfunc _ec_op_inner{}(\n partial_sum: EcPoint, doubled_point: EcPoint, m_bit_unpacking: felt*, index: felt, curr_m: felt\n) -> EcPoint {\n alloc_locals;\n if (index == M_MAX_BITS) {\n assert curr_m = 0;\n return partial_sum;\n }\n\n if (doubled_point.x == partial_sum.x) {\n %{ assert False, \"ec_op failed.\" %}\n jmp rel 0;\n }\n\n if (m_bit_unpacking[0] == 1) {\n // Inline ec_add for input p=partial_sum, q=doubled_point.\n // Note: no need to compare doubled_point.y to 0 since simulate_builtin_ec_op_with_cairo\n // has already verified that p is not the point at infinity and every time partial_sum\n // gets updated, it is the addition of two points with different x coordinates.\n // We also do not need to address the case where partial_sum.x == doubled_point.x because\n // we have already verified that it is not the case.\n tempvar slope = (partial_sum.y - doubled_point.y) / (partial_sum.x - doubled_point.x);\n tempvar r_x = slope * slope - partial_sum.x - doubled_point.x;\n tempvar partial_sum = EcPoint(x=r_x, y=slope * (partial_sum.x - r_x) - partial_sum.y);\n } else {\n assert m_bit_unpacking[0] = 0;\n tempvar partial_sum = partial_sum;\n }\n\n // Inline ec_double for input p=doubled_point.\n // Note: we do not need to compare doubled_point.y to 0 since simulate_builtin_ec_op_with_cairo\n // has already verified that q is not the point at infinity and doubled_point = 2**index * q\n // and the EC group is of an odd order.\n tempvar slope = (3 * doubled_point.x * doubled_point.x + StarkCurve.ALPHA) / (\n doubled_point.y + doubled_point.y\n );\n tempvar r_x = slope * slope - doubled_point.x - doubled_point.x;\n local doubled_point: EcPoint = EcPoint(\n x=r_x, y=slope * (doubled_point.x - r_x) - doubled_point.y\n );\n\n if (doubled_point.x == partial_sum.x) {\n %{ assert False, \"ec_op failed.\" %}\n jmp rel 0;\n }\n\n if (m_bit_unpacking[1] == 1) {\n // Inline ec_add for input p=partial_sum, q=doubled_point.\n tempvar slope = (partial_sum.y - doubled_point.y) / (partial_sum.x - doubled_point.x);\n tempvar r_x = slope * slope - partial_sum.x - doubled_point.x;\n tempvar partial_sum = EcPoint(x=r_x, y=slope * (partial_sum.x - r_x) - partial_sum.y);\n } else {\n assert m_bit_unpacking[1] = 0;\n tempvar partial_sum = partial_sum;\n }\n\n // Inline ec_double for input p=doubled_point.\n tempvar slope = (3 * doubled_point.x * doubled_point.x + StarkCurve.ALPHA) / (\n doubled_point.y + doubled_point.y\n );\n tempvar r_x = slope * slope - doubled_point.x - doubled_point.x;\n let doubled_point: EcPoint = EcPoint(\n x=r_x, y=slope * (doubled_point.x - r_x) - doubled_point.y\n );\n\n return _ec_op_inner(\n partial_sum=partial_sum,\n doubled_point=doubled_point,\n m_bit_unpacking=m_bit_unpacking + 2,\n index=index + 2,\n curr_m=(curr_m - m_bit_unpacking[0] - m_bit_unpacking[1] - m_bit_unpacking[1]) / 4,\n );\n}\n\n// Asserts that the bit unpacking is of a number num smaller than PRIME.\nfunc verify_bit_unpacking_is_reduced{}(num: felt, unpacking: felt*) {\n if (unpacking[FIRST_P_POWER] == 0) {\n return ();\n }\n memset(dst=unpacking + SECOND_P_POWER + 1, value=0, n=FIRST_P_POWER - SECOND_P_POWER - 1);\n if (unpacking[SECOND_P_POWER] == 0) {\n return ();\n }\n memset(dst=unpacking + THIRD_P_POWER + 1, value=0, n=SECOND_P_POWER - THIRD_P_POWER - 1);\n if (unpacking[THIRD_P_POWER] == 0) {\n return ();\n }\n memset(dst=unpacking + FOURTH_P_POWER + 1, value=0, n=THIRD_P_POWER - FOURTH_P_POWER - 1);\n assert unpacking[FOURTH_P_POWER] = 0;\n return ();\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/common/cairo_ecdsa/ecdsa.cairo": "from src.starkware.cairo.common.cairo_ec_op.ec_op import ec_mul_cairo\n\nfrom starkware.cairo.common.alloc import alloc\nfrom starkware.cairo.common.bool import FALSE, TRUE\nfrom starkware.cairo.common.cairo_builtins import ModBuiltin, UInt384\nfrom starkware.cairo.common.ec import StarkCurve, ec_add, ec_sub, is_x_on_curve, recover_y\nfrom starkware.cairo.common.ec_point import EcPoint\nfrom starkware.cairo.common.registers import get_label_location\n\n// StarkCurve.ORDER partitioned into 4 96-bit limbs, as required by the ModBuiltin.\nconst ORDER0 = 0xcae7b2321e66a241adc64d2f;\nconst ORDER1 = 0xffffffffffffffffb781126d;\nconst ORDER2 = 0x800000000000010;\nconst ORDER3 = 0;\n\n// Checks if (signature_r, signature_s) is a valid signature for the given public_key\n// on the given message.\n//\n// Arguments:\n// message - the signed message.\n// public_key - the public key corresponding to the key with which the message was signed.\n// signature_r - the r component of the ECDSA signature.\n// signature_s - the s component of the ECDSA signature.\n//\n// Returns:\n// res - TRUE if the signature is valid, FALSE otherwise.\nfunc check_ecdsa_signature_cairo{range_check96_ptr, mul_mod_ptr: ModBuiltin*}(\n message, public_key, signature_r, signature_s\n) -> (res: felt) {\n alloc_locals;\n // Check that s != 0 (mod StarkCurve.ORDER).\n if (signature_s == 0) {\n return (res=FALSE);\n }\n if (signature_s == StarkCurve.ORDER) {\n return (res=FALSE);\n }\n if (signature_r == StarkCurve.ORDER) {\n return (res=FALSE);\n }\n\n // Check that the public key is the x coordinate of a point on the curve.\n let on_curve: felt = is_x_on_curve(public_key);\n if (on_curve == FALSE) {\n return (res=FALSE);\n }\n // Check that r is the x coordinate of a point on the curve.\n // Note that this ensures that r != 0.\n let on_curve: felt = is_x_on_curve(signature_r);\n if (on_curve == FALSE) {\n return (res=FALSE);\n }\n\n // Compute w=1/s (mod StarkCurve.ORDER).\n // also compute wz = w * message and wr = w * signature_r.\n local w;\n local wz;\n local wr;\n %{\n # ids.StarkCurve.ORDER is parsed as a negative number.\n order = ids.StarkCurve.ORDER + PRIME\n ids.w = pow(ids.signature_s, -1, order)\n ids.wz = ids.w*ids.message % order\n ids.wr = ids.w*ids.signature_r % order\n %}\n verify_mod_curve_order_mul(a=signature_s, b=w, c=1);\n verify_mod_curve_order_mul(a=w, b=message, c=wz);\n verify_mod_curve_order_mul(a=w, b=signature_r, c=wr);\n\n // To verify ECDSA, obtain:\n // wzG = wz * G, where G is a generator of the EC.\n // wrQ = wr * Q, where Q.x = public_key.\n // and check that:\n // wzG +/- wrQ = +/- R, or more efficiently that:\n // (wzG +/- wrQ).x = R.x.\n let (wzG: EcPoint) = ec_mul_cairo(m=wz, p=EcPoint(x=StarkCurve.GEN_X, y=StarkCurve.GEN_Y));\n let (public_key_point: EcPoint) = recover_y(public_key);\n let (wrQ: EcPoint) = ec_mul_cairo(wr, public_key_point);\n\n let (candidate: EcPoint) = ec_add(wzG, wrQ);\n if (candidate.x == signature_r) {\n return (res=TRUE);\n }\n\n let (candidate: EcPoint) = ec_sub(wzG, wrQ);\n if (candidate.x == signature_r) {\n return (res=TRUE);\n }\n\n return (res=FALSE);\n}\n\n// Assert that the product of a and b modulo StarkCurve.ORDER is equal to c.\nfunc verify_mod_curve_order_mul{range_check96_ptr, mul_mod_ptr: ModBuiltin*}(\n a: felt, b: felt, c: felt\n) {\n alloc_locals;\n\n let (a384) = mod_curve_felt_to_uint384(a);\n let (b384) = mod_curve_felt_to_uint384(b);\n let (c384) = mod_curve_felt_to_uint384(c);\n\n let values_arr = cast(range_check96_ptr, UInt384*);\n assert values_arr[0] = a384;\n assert values_arr[1] = b384;\n assert values_arr[2] = c384;\n\n let (mul_mod_offsets_ptr) = get_label_location(mul_mod_offsets_values);\n\n assert mul_mod_ptr[0].p = UInt384(ORDER0, ORDER1, ORDER2, ORDER3);\n assert mul_mod_ptr[0].values_ptr = values_arr;\n assert mul_mod_ptr[0].offsets_ptr = mul_mod_offsets_ptr;\n assert mul_mod_ptr[0].n = 1;\n\n let range_check96_ptr = range_check96_ptr + 12;\n let mul_mod_ptr = mul_mod_ptr + ModBuiltin.SIZE;\n\n return ();\n\n mul_mod_offsets_values:\n dw 0; // a384\n dw 4; // b384\n dw 8; // a384 * b384.\n}\n\n// Partitions a felt into 4 96-bit limbs as required by the ModBuiltin and verifies that partition.\n// Assumes that the limbs of the output will be range checked 96 by the caller.\n// Under that assumption it also verifies the partition represents a number in the range [0, PRIME).\nfunc mod_curve_felt_to_uint384{range_check96_ptr}(num: felt) -> (res: UInt384) {\n alloc_locals;\n let (local res_96_felts: felt*) = alloc();\n %{\n num = ids.num\n memory[ids.res_96_felts] = num % (2**96)\n memory[ids.res_96_felts+1] = (num>>96) % (2**96)\n memory[ids.res_96_felts+2] = (num>>(2*96)) % (2**96)\n %}\n assert res_96_felts[0] + res_96_felts[1] * (2 ** 96) + res_96_felts[2] * (2 ** 192) = num;\n let res = UInt384(d0=res_96_felts[0], d1=res_96_felts[1], d2=res_96_felts[2], d3=0);\n if (res_96_felts[2] == (2 ** 59 + 17)) {\n assert res_96_felts[1] = 0;\n assert res_96_felts[0] = 0;\n return (res=res);\n }\n // res_96_felts[2] will be range checked 96 by the caller.\n assert [range_check96_ptr] = res_96_felts[2] + (2 ** 96 - 2 ** 59 - 17);\n let range_check96_ptr = range_check96_ptr + 1;\n return (res=res);\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/common/cairo_keccak/keccak.cairo": "// This module provides a set of functions to compute the (Ethereuem compatible) keccak hash\n// function.\n//\n// In order to use the functions that get the ``keccak_ptr`` implicit argument\n// (e.g., ``cairo_keccak_uint256s()``, ``cairo_keccak()``, ...) you should:\n//\n// 1. Create a new memory segment using ``alloc()`` and store it in a variable named\n// ``keccak_ptr``.\n// 2. Create a copy of the pointer, and name it ``keccak_ptr_start``, before using keccak.\n// 3. Use the keccak functions with the ``keccak_ptr`` implicit argument\n// (either use the ``with`` statement or write ``{keccak_ptr=keccak_ptr}`` explicitly).\n// 4. Call ``finalize_keccak()`` (once) at the end of your program/transaction.\n//\n// For example:\n//\n// let (keccak_ptr: felt*) = alloc();\n// local keccak_ptr_start: felt* = keccak_ptr;\n//\n// with keccak_ptr {\n// cairo_keccak_uint256s(...);\n// cairo_keccak_uint256s(...);\n// }\n//\n// finalize_keccak(keccak_ptr_start=keccak_ptr_start, keccak_ptr_end=keccak_ptr);\n//\n// It's more efficient to reuse the ``keccak_ptr`` segment for all the keccak functions you need,\n// and call ``finalize_keccak()`` once, because of an internal batching done inside\n// ``finalize_keccak()``.\n//\n// Failing to call ``finalize_keccak()``, will make the keccak function unsound - the prover will be\n// able to choose any value as the keccak's result.\n//\n// The module also uses a set of helper functions to prepare the input data for keccak,\n// such as ``keccak_add_uint256()`` and ``keccak_add_felt()``. To use them, you should allocate\n// a new memory segment to variable named ``inputs`` (this value is an implicit argument to those\n// functions). Once the input is ready, you should call ``cairo_keccak()`` or\n// ``cairo_keccak_bigend()``.\n// Don't forget to call ``finalize_keccak()`` at the end of the program/transaction.\n\nfrom starkware.cairo.common.alloc import alloc\nfrom starkware.cairo.common.bitwise import bitwise_xor\nfrom starkware.cairo.common.cairo_builtins import BitwiseBuiltin\nfrom starkware.cairo.common.keccak_utils.keccak_utils import keccak_add_felts, keccak_add_uint256s\nfrom starkware.cairo.common.cairo_keccak.packed_keccak import BLOCK_SIZE, packed_keccak_func\nfrom starkware.cairo.common.math import assert_nn_le, unsigned_div_rem\nfrom starkware.cairo.common.memcpy import memcpy\nfrom starkware.cairo.common.memset import memset\nfrom starkware.cairo.common.pow import pow\nfrom starkware.cairo.common.uint256 import Uint256, uint256_reverse_endian\n\nconst KECCAK_STATE_SIZE_FELTS = 25;\nconst KECCAK_FULL_RATE_IN_BYTES = 136;\nconst KECCAK_FULL_RATE_IN_WORDS = 17;\nconst KECCAK_CAPACITY_IN_WORDS = 8;\nconst BYTES_IN_WORD = 8;\n\n// Computes the keccak hash of multiple uint256 numbers.\nfunc cairo_keccak_uint256s{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, keccak_ptr: felt*}(\n n_elements: felt, elements: Uint256*\n) -> (res: Uint256) {\n alloc_locals;\n\n let (inputs) = alloc();\n let inputs_start = inputs;\n\n keccak_add_uint256s{inputs=inputs}(n_elements=n_elements, elements=elements, bigend=0);\n\n return cairo_keccak(inputs=inputs_start, n_bytes=n_elements * 32);\n}\n\n// Computes the keccak hash of multiple uint256 numbers (big-endian).\n// Note that both the output and the input are in big endian representation.\nfunc cairo_keccak_uint256s_bigend{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, keccak_ptr: felt*}(\n n_elements: felt, elements: Uint256*\n) -> (res: Uint256) {\n alloc_locals;\n\n let (inputs) = alloc();\n let inputs_start = inputs;\n\n keccak_add_uint256s{inputs=inputs}(n_elements=n_elements, elements=elements, bigend=1);\n\n return cairo_keccak_bigend(inputs=inputs_start, n_bytes=n_elements * 32);\n}\n\n// Computes the keccak hash of multiple field elements.\nfunc cairo_keccak_felts{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, keccak_ptr: felt*}(\n n_elements: felt, elements: felt*\n) -> (res: Uint256) {\n alloc_locals;\n\n let (inputs) = alloc();\n let inputs_start = inputs;\n\n keccak_add_felts{inputs=inputs}(n_elements=n_elements, elements=elements, bigend=0);\n\n return cairo_keccak(inputs=inputs_start, n_bytes=n_elements * 32);\n}\n\n// Computes the keccak hash of multiple field elements (big-endian).\n// Note that both the output and the input are in big endian representation.\nfunc cairo_keccak_felts_bigend{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, keccak_ptr: felt*}(\n n_elements: felt, elements: felt*\n) -> (res: Uint256) {\n alloc_locals;\n\n let (inputs) = alloc();\n let inputs_start = inputs;\n\n keccak_add_felts{inputs=inputs}(n_elements=n_elements, elements=elements, bigend=1);\n\n return cairo_keccak_bigend(inputs=inputs_start, n_bytes=n_elements * 32);\n}\n\n// Computes the keccak of 'input'.\n// To use this function, split the input into words of 64 bits (little endian).\n// For example, to compute keccak('Hello world!'), use:\n// inputs = [8031924123371070792, 560229490]\n// where:\n// 8031924123371070792 == int.from_bytes(b'Hello wo', 'little')\n// 560229490 == int.from_bytes(b'rld!', 'little')\n//\n// Returns the hash as a Uint256.\n//\n// Note: You must call finalize_keccak() at the end of the program. Otherwise, this function\n// is not sound and a malicious prover may return a wrong result.\nfunc cairo_keccak{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, keccak_ptr: felt*}(\n inputs: felt*, n_bytes: felt\n) -> (res: Uint256) {\n let (output) = cairo_keccak_as_words(inputs=inputs, n_bytes=n_bytes);\n\n let res_low = output[1] * 2 ** 64 + output[0];\n let res_high = output[3] * 2 ** 64 + output[2];\n\n return (res=Uint256(low=res_low, high=res_high));\n}\n\n// Same as keccak, but outputs the hash in big endian representation.\n// Note that the input is still treated as little endian.\nfunc cairo_keccak_bigend{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, keccak_ptr: felt*}(\n inputs: felt*, n_bytes: felt\n) -> (res: Uint256) {\n let (hash) = cairo_keccak(inputs=inputs, n_bytes=n_bytes);\n let (res) = uint256_reverse_endian(num=hash);\n return (res=res);\n}\n\n// Same as keccak, but outputs a pointer to 4 64-bit little endian words instead.\nfunc cairo_keccak_as_words{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, keccak_ptr: felt*}(\n inputs: felt*, n_bytes: felt\n) -> (output: felt*) {\n alloc_locals;\n\n let (local state) = alloc();\n memset(dst=state, value=0, n=KECCAK_STATE_SIZE_FELTS);\n\n return _keccak(inputs=inputs, n_bytes=n_bytes, state=state);\n}\n\n// Prepares a block for the block permutation: adds padding (of the form 100...001, see the\n// _padding function) and capacity (8 64-bits words of zeros) to the input, xors the result\n// with the previous block permutation's output, and writes it to keccak_ptr.\n//\n// This function is called for every block that is sent to the _block_permutation\n// function. Each time it is called with a chunk of the input of at\n// most 17 64-bit words. That is, with n_bytes <= 136. When it is called with exactly 136\n// bytes, no padding is added. Only the last block is padded.\n//\n// Arguments:\n// inputs - chunk of the input, in little endian.\n// n_bytes - the length of inputs in bytes. Must be in the range [0, 136].\n// state - the output of the previous block permutation that contains 25 64-bits words.\nfunc _prepare_block{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, keccak_ptr: felt*}(\n inputs: felt*, n_bytes: felt, state: felt*\n) {\n alloc_locals;\n\n let inputs_start = inputs;\n _copy_inputs{inputs=inputs, n_bytes=n_bytes, state=state}();\n // n_words_written is the number of words written to keccak_ptr.\n let n_words_written = inputs - inputs_start;\n\n tempvar padding_len = (KECCAK_FULL_RATE_IN_WORDS - n_words_written);\n local input_word;\n if (n_bytes == 0) {\n input_word = 0;\n } else {\n input_word = inputs[0];\n }\n\n _padding(input_word=input_word, n_bytes=n_bytes, state=state, padding_len=padding_len);\n let state = state + padding_len;\n\n // Since the capacity part consists of zeros, we simply copy the state.\n memcpy(dst=keccak_ptr, src=state, len=KECCAK_CAPACITY_IN_WORDS);\n let keccak_ptr = keccak_ptr + KECCAK_CAPACITY_IN_WORDS;\n\n return ();\n}\n\n// Xors full words from the input with the corresponding words from the output of the\n// previous block permutation, and writes the restult to keccak_ptr.\nfunc _copy_inputs{\n range_check_ptr,\n bitwise_ptr: BitwiseBuiltin*,\n keccak_ptr: felt*,\n inputs: felt*,\n n_bytes: felt,\n state: felt*,\n}() {\n if (nondet %{ ids.n_bytes < ids.BYTES_IN_WORD %} != 0) {\n assert_nn_le(n_bytes, BYTES_IN_WORD - 1);\n return ();\n }\n\n let (next_word) = bitwise_xor(inputs[0], state[0]);\n assert keccak_ptr[0] = next_word;\n\n let inputs = &inputs[1];\n let state = &state[1];\n let keccak_ptr = &keccak_ptr[1];\n let n_bytes = n_bytes - BYTES_IN_WORD;\n\n return _copy_inputs();\n}\n\n// Adds padding of the form 100...001 to the last bytes of the input, to a total of\n// padding_len words, xors the result with the output of the last block permutation,\n// from the corresponding offset, and writes it to keccak_ptr.\n//\n// Arguments:\n// input_word - the last word of the input to cairo_keccak (given in little endian)\n// if it has less than 8 bytes, otherwise 0.\n// n_bytes - the number of bytes in input_word. Must be in the range [0, 8).\n// state - the output of the last block permutation, from the word that corresponds\n// to the input_word. (i.e., if input_word is the i-th word in the current block,\n// then state points to the i-th word of the last block permutation's output).\n// padding_len - the length of the required padding (in words). Must be in the range [0, 17].\nfunc _padding{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, keccak_ptr: felt*}(\n input_word: felt, n_bytes: felt, state: felt*, padding_len: felt\n) {\n if (padding_len == 0) {\n return ();\n }\n\n let (first_one) = pow(256, n_bytes);\n // The beginning of the padding with the last bytes of the input and the first 1.\n let input_word_with_initial_padding = input_word + first_one;\n\n if (padding_len == 1) {\n let both_ones = 2 ** 63 + input_word_with_initial_padding;\n let (word) = bitwise_xor(both_ones, state[0]);\n\n assert keccak_ptr[0] = word;\n let keccak_ptr = &keccak_ptr[1];\n\n return ();\n }\n\n return _long_padding(\n input_word_with_initial_padding=input_word_with_initial_padding,\n state=state,\n padding_len=padding_len,\n );\n}\n\n// Padding of more than 1 word.\nfunc _long_padding{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, keccak_ptr: felt*}(\n input_word_with_initial_padding: felt, state: felt*, padding_len: felt\n) {\n alloc_locals;\n\n // First word.\n let (first_one) = bitwise_xor(input_word_with_initial_padding, state[0]);\n assert keccak_ptr[0] = first_one;\n let keccak_ptr = &keccak_ptr[1];\n let state = state + 1;\n\n // The padding of the inner words is zero, so we should simply copy them.\n memcpy(dst=keccak_ptr, src=state, len=padding_len - 2);\n let keccak_ptr = keccak_ptr + padding_len - 2;\n let state = state + padding_len - 2;\n\n // Last word.\n let (second_one) = bitwise_xor(2 ** 63, state[0]);\n assert keccak_ptr[0] = second_one;\n let keccak_ptr = &keccak_ptr[1];\n\n return ();\n}\n\nfunc _block_permutation{keccak_ptr: felt*}() {\n %{\n from starkware.cairo.common.keccak_utils.keccak_utils import keccak_func\n _keccak_state_size_felts = int(ids.KECCAK_STATE_SIZE_FELTS)\n assert 0 <= _keccak_state_size_felts < 100\n\n output_values = keccak_func(memory.get_range(\n ids.keccak_ptr - _keccak_state_size_felts, _keccak_state_size_felts))\n segments.write_arg(ids.keccak_ptr, output_values)\n %}\n let keccak_ptr = keccak_ptr + KECCAK_STATE_SIZE_FELTS;\n\n return ();\n}\n\nfunc _keccak{range_check_ptr, bitwise_ptr: BitwiseBuiltin*, keccak_ptr: felt*}(\n inputs: felt*, n_bytes: felt, state: felt*\n) -> (output: felt*) {\n if (nondet %{ ids.n_bytes >= ids.KECCAK_FULL_RATE_IN_BYTES %} != 0) {\n _prepare_block(inputs=inputs, n_bytes=KECCAK_FULL_RATE_IN_BYTES, state=state);\n _block_permutation();\n\n return _keccak(\n inputs=inputs + KECCAK_FULL_RATE_IN_WORDS,\n n_bytes=n_bytes - KECCAK_FULL_RATE_IN_BYTES,\n state=keccak_ptr - KECCAK_STATE_SIZE_FELTS,\n );\n }\n\n assert_nn_le(n_bytes, KECCAK_FULL_RATE_IN_BYTES - 1);\n\n _prepare_block(inputs=inputs, n_bytes=n_bytes, state=state);\n _block_permutation();\n\n return (output=keccak_ptr - KECCAK_STATE_SIZE_FELTS);\n}\n\n// Verifies that the results of cairo_keccak() are valid. For optimization, this can be called only\n// once after all the keccak calculations are completed.\nfunc finalize_keccak{range_check_ptr, bitwise_ptr: BitwiseBuiltin*}(\n keccak_ptr_start: felt*, keccak_ptr_end: felt*\n) {\n alloc_locals;\n\n tempvar n = (keccak_ptr_end - keccak_ptr_start) / (2 * KECCAK_STATE_SIZE_FELTS);\n if (n == 0) {\n return ();\n }\n\n %{\n # Add dummy pairs of input and output.\n _keccak_state_size_felts = int(ids.KECCAK_STATE_SIZE_FELTS)\n _block_size = int(ids.BLOCK_SIZE)\n assert 0 <= _keccak_state_size_felts < 100\n assert 0 <= _block_size < 10\n inp = [0] * _keccak_state_size_felts\n padding = (inp + keccak_func(inp)) * _block_size\n segments.write_arg(ids.keccak_ptr_end, padding)\n %}\n\n // Compute the amount of blocks (rounded up).\n let (local q, r) = unsigned_div_rem(n + BLOCK_SIZE - 1, BLOCK_SIZE);\n _finalize_keccak_inner(keccak_ptr_start, n=q);\n return ();\n}\n\n// Handles n blocks of BLOCK_SIZE keccak instances.\nfunc _finalize_keccak_inner{range_check_ptr, bitwise_ptr: BitwiseBuiltin*}(\n keccak_ptr: felt*, n: felt\n) {\n if (n == 0) {\n return ();\n }\n\n ap += SIZEOF_LOCALS;\n\n local MAX_VALUE = 2 ** 64 - 1;\n\n let keccak_ptr_start = keccak_ptr;\n\n let (local inputs_start: felt*) = alloc();\n\n // Handle inputs.\n\n tempvar inputs = inputs_start;\n tempvar keccak_ptr = keccak_ptr;\n tempvar range_check_ptr = range_check_ptr;\n tempvar m = 25;\n\n input_loop:\n tempvar x0 = keccak_ptr[0];\n assert [range_check_ptr] = x0;\n assert [range_check_ptr + 1] = MAX_VALUE - x0;\n tempvar x1 = keccak_ptr[50];\n assert [range_check_ptr + 2] = x1;\n assert [range_check_ptr + 3] = MAX_VALUE - x1;\n tempvar x2 = keccak_ptr[100];\n assert [range_check_ptr + 4] = x2;\n assert [range_check_ptr + 5] = MAX_VALUE - x2;\n assert inputs[0] = x0 + 2 ** 64 * x1 + 2 ** 128 * x2;\n\n tempvar inputs = inputs + 1;\n tempvar keccak_ptr = keccak_ptr + 1;\n tempvar range_check_ptr = range_check_ptr + 6;\n tempvar m = m - 1;\n jmp input_loop if m != 0;\n\n // Run keccak on the 3 instances.\n\n let (outputs) = packed_keccak_func(inputs_start);\n local bitwise_ptr: BitwiseBuiltin* = bitwise_ptr;\n\n // Handle outputs.\n\n tempvar outputs = outputs;\n tempvar keccak_ptr = keccak_ptr;\n tempvar range_check_ptr = range_check_ptr;\n tempvar m = 25;\n\n output_loop:\n tempvar x0 = keccak_ptr[0];\n assert [range_check_ptr] = x0;\n assert [range_check_ptr + 1] = MAX_VALUE - x0;\n tempvar x1 = keccak_ptr[50];\n assert [range_check_ptr + 2] = x1;\n assert [range_check_ptr + 3] = MAX_VALUE - x1;\n tempvar x2 = keccak_ptr[100];\n assert [range_check_ptr + 4] = x2;\n assert [range_check_ptr + 5] = MAX_VALUE - x2;\n assert outputs[0] = x0 + 2 ** 64 * x1 + 2 ** 128 * x2;\n\n tempvar outputs = outputs + 1;\n tempvar keccak_ptr = keccak_ptr + 1;\n tempvar range_check_ptr = range_check_ptr + 6;\n tempvar m = m - 1;\n jmp output_loop if m != 0;\n\n return _finalize_keccak_inner(keccak_ptr=keccak_ptr_start + 150, n=n - 1);\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/common/ec.cairo": "// Functions for various actions on the STARK curve:\n// y^2 = x^3 + alpha * x + beta\n// where alpha = 1 and beta = 0x6f21413efbe40de150e596d72f7a8c5609ad26c15c915c1f4cdfcb99cee9e89.\n// The point at infinity is represented as (0, 0).\n\nfrom starkware.cairo.common.cairo_builtins import EcOpBuiltin\nfrom starkware.cairo.common.ec_point import EcPoint\nfrom starkware.cairo.common.math import is_quad_residue\n\nnamespace StarkCurve {\n const ALPHA = 1;\n const BETA = 0x6f21413efbe40de150e596d72f7a8c5609ad26c15c915c1f4cdfcb99cee9e89;\n const ORDER = 0x800000000000010ffffffffffffffffb781126dcae7b2321e66a241adc64d2f;\n const GEN_X = 0x1ef15c18599971b7beced415a40f0c7deacfd9b0d1819e03d723d8bc943cfca;\n const GEN_Y = 0x5668060aa49730b7be4801df46ec62de53ecd11abe43a32873000c36e8dc1f;\n}\n\n// Asserts that an EC point is on the STARK curve.\n//\n// Arguments:\n// p - an EC point.\nfunc assert_on_curve(p: EcPoint) {\n // Because the curve order is odd, there is no point (except (0, 0), which represents the point\n // at infinity) with y = 0.\n if (p.y == 0) {\n assert p.x = 0;\n return ();\n }\n tempvar rhs = (p.x * p.x + StarkCurve.ALPHA) * p.x + StarkCurve.BETA;\n assert p.y * p.y = rhs;\n return ();\n}\n\n// Doubles a point (computes p + p) on the elliptic curve.\n//\n// Arguments:\n// p - an EC point.\n//\n// Returns:\n// r = p + p.\n//\n// Assumptions:\n// p is a valid point on the curve.\nfunc ec_double(p: EcPoint) -> (r: EcPoint) {\n // (0, 0), which represents the point at infinity, is the only point with y = 0.\n if (p.y == 0) {\n return (r=p);\n }\n tempvar slope = (3 * p.x * p.x + StarkCurve.ALPHA) / (2 * p.y);\n tempvar r_x = slope * slope - p.x - p.x;\n return (r=EcPoint(x=r_x, y=slope * (p.x - r_x) - p.y));\n}\n\n// Adds two points on the EC.\n//\n// Arguments:\n// p - an EC point.\n// q - an EC point.\n//\n// Returns:\n// r = p + q.\n//\n// Assumptions:\n// p and q are valid points on the curve.\nfunc ec_add(p: EcPoint, q: EcPoint) -> (r: EcPoint) {\n // (0, 0), which represents the point at infinity, is the only point with y = 0.\n if (p.y == 0) {\n return (r=q);\n }\n if (q.y == 0) {\n return (r=p);\n }\n if (p.x == q.x) {\n if (p.y == q.y) {\n return ec_double(p);\n }\n // In this case, because p and q are on the curve, p.y = -q.y.\n return (r=EcPoint(x=0, y=0));\n }\n tempvar slope = (p.y - q.y) / (p.x - q.x);\n tempvar r_x = slope * slope - p.x - q.x;\n return (r=EcPoint(x=r_x, y=slope * (p.x - r_x) - p.y));\n}\n\n// Subtracts a point from another on the EC.\n//\n// Arguments:\n// p - an EC point.\n// q - an EC point.\n//\n// Returns:\n// r = p - q.\n//\n// Assumptions:\n// p and q are valid points on the curve.\nfunc ec_sub(p: EcPoint, q: EcPoint) -> (r: EcPoint) {\n return ec_add(p=p, q=EcPoint(x=q.x, y=-q.y));\n}\n\n// Computes p + m * q on the elliptic curve.\n// Because the EC operation builtin cannot handle inputs where additions of points with the same x\n// coordinate arise during the computation, this function adds and subtracts a nondeterministic\n// point s to the computation, so that regardless of input, the probability that such additions\n// arise will become negligibly small.\n// The precise computation is therefore:\n// ((p + s) + m * q) - s\n// so that the inputs to the builtin itself are (p + s), m, and q.\n//\n// Arguments:\n// ec_op_ptr - the ec_op builtin pointer.\n// p - an EC point.\n// m - the multiplication coefficient of Q.\n// q - an EC point.\n//\n// Returns:\n// r = p + m * q.\n//\n// Assumptions:\n// p and q are valid points on the curve.\nfunc ec_op{ec_op_ptr: EcOpBuiltin*}(p: EcPoint, m: felt, q: EcPoint) -> (r: EcPoint) {\n alloc_locals;\n\n // (0, 0), which represents the point at infinity, is the only point with y = 0.\n if (q.y == 0) {\n return (r=p);\n }\n\n local s: EcPoint;\n %{\n from starkware.crypto.signature.signature import ALPHA, BETA, FIELD_PRIME\n from starkware.python.math_utils import random_ec_point\n from starkware.python.utils import to_bytes\n\n # Define a seed for random_ec_point that's dependent on all the input, so that:\n # (1) The added point s is deterministic.\n # (2) It's hard to choose inputs for which the builtin will fail.\n seed = b\"\".join(map(to_bytes, [ids.p.x, ids.p.y, ids.m, ids.q.x, ids.q.y]))\n ids.s.x, ids.s.y = random_ec_point(FIELD_PRIME, ALPHA, BETA, seed)\n %}\n assert_on_curve(s);\n let p_plus_s: EcPoint = ec_add(p, s);\n\n assert ec_op_ptr.p = p_plus_s;\n assert ec_op_ptr.m = m;\n assert ec_op_ptr.q = q;\n let r: EcPoint = ec_add(ec_op_ptr.r, EcPoint(x=s.x, y=-s.y));\n let ec_op_ptr = ec_op_ptr + EcOpBuiltin.SIZE;\n return (r=r);\n}\n\n// Computes m * p on the elliptic curve.\n//\n// Arguments:\n// ec_op_ptr - the ec_op builtin pointer.\n// m - the multiplication coefficient of p.\n// p - an EC point.\n//\n// Returns:\n// r = m * p.\n//\n// Assumptions:\n// p is a valid point on the curve.\nfunc ec_mul{ec_op_ptr: EcOpBuiltin*}(m: felt, p: EcPoint) -> (r: EcPoint) {\n return ec_op(p=EcPoint(x=0, y=0), m=m, q=p);\n}\n\n// Computes p + m[0] * q[0] + m[1] * q[1] + ... m[len - 1] * q[len - 1] on the elliptic curve.\n// Because the EC operation builtin cannot handle inputs where additions of points with the same x\n// coordinate arise during the computation, this function adds and removes a nondeterministic\n// point s to the computation, so that regardless of input, the probability that such additions\n// arise will become negligibly small.\n// The precise computation is therefore:\n// ((p + s) + m[0] * q[0] + m[1] + q[1] + ... + m[len - 1] * q[len - 1]) - s.\n//\n// Arguments:\n// ec_op_ptr - the ec_op builtin pointer.\n// p - an EC point.\n// m - an array of multiplication coefficients.\n// q - an array of EC points.\n// len - the number of points in q.\n//\n// Returns:\n// r = p + m[0] * q[0] + m[1] * q[1] + ... + m[len - 1] * q[len - 1].\n// Assumptions:\n// * All given EC points are on the STARK curve.\n// * len <= 1000.\nfunc chained_ec_op{ec_op_ptr: EcOpBuiltin*}(p: EcPoint, m: felt*, q: EcPoint*, len: felt) -> (\n r: EcPoint\n) {\n alloc_locals;\n local s: EcPoint;\n %{\n from starkware.crypto.signature.signature import ALPHA, BETA, FIELD_PRIME\n from starkware.python.math_utils import random_ec_point\n from starkware.python.utils import to_bytes\n\n n_elms = ids.len\n assert isinstance(n_elms, int) and n_elms >= 0, \\\n f'Invalid value for len. Got: {n_elms}.'\n if '__chained_ec_op_max_len' in globals():\n assert n_elms <= __chained_ec_op_max_len, \\\n f'chained_ec_op() can only be used with len<={__chained_ec_op_max_len}. ' \\\n f'Got: n_elms={n_elms}.'\n\n # Define a seed for random_ec_point that's dependent on all the input, so that:\n # (1) The added point s is deterministic.\n # (2) It's hard to choose inputs for which the builtin will fail.\n seed = b\"\".join(\n map(\n to_bytes,\n [\n ids.p.x,\n ids.p.y,\n *memory.get_range(ids.m, n_elms),\n *memory.get_range(ids.q.address_, 2 * n_elms),\n ],\n )\n )\n ids.s.x, ids.s.y = random_ec_point(FIELD_PRIME, ALPHA, BETA, seed)\n %}\n assert_on_curve(s);\n let p_plus_s: EcPoint = ec_add(p, s);\n let r_plus_s: EcPoint = _chained_ec_op_inner(p=p_plus_s, m=m, q=q, len=len);\n let r: EcPoint = ec_add(r_plus_s, EcPoint(x=s.x, y=-s.y));\n return (r=r);\n}\n\nfunc _chained_ec_op_inner{ec_op_ptr: EcOpBuiltin*}(\n p: EcPoint, m: felt*, q: EcPoint*, len: felt\n) -> (r: EcPoint) {\n if (len == 0) {\n return (r=p);\n }\n // (0, 0), representing the point at infinity, is the only point for which y = 0.\n if (q.y == 0) {\n return _chained_ec_op_inner(p=p, m=&m[1], q=&q[1], len=len - 1);\n }\n assert ec_op_ptr.p = p;\n assert ec_op_ptr.m = m[0];\n assert ec_op_ptr.q = q[0];\n let r = ec_op_ptr.r;\n let ec_op_ptr = &ec_op_ptr[1];\n return _chained_ec_op_inner(p=r, m=&m[1], q=&q[1], len=len - 1);\n}\n\n// Recovers the y coordinate of a point on the EC.\n//\n// Arguments:\n// x - the x coordinate of an EC point.\n//\n// Returns:\n// p - one of the two EC points with the given x coordinate (x, y).\n//\n// Assumptions:\n// There exists y such that (x, y) is on the curve. Otherwise the function's hint will throw a\n// python exception.\n//\n// Note:\n// This function will fail on x = 0 because there is no such point on the curve. The point at\n// infinity is represented as (0, 0), but this is just a representation, not actual coordinates.\nfunc recover_y(x: felt) -> (p: EcPoint) {\n alloc_locals;\n local p: EcPoint;\n %{\n from starkware.crypto.signature.signature import ALPHA, BETA, FIELD_PRIME\n from starkware.python.math_utils import recover_y\n ids.p.x = ids.x\n # This raises an exception if `x` is not on the curve.\n ids.p.y = recover_y(ids.x, ALPHA, BETA, FIELD_PRIME)\n %}\n assert p.x = x;\n assert_on_curve(p);\n return (p=p);\n}\n\n// Checks if `x` represents the x coordinate of a point on the curve.\n//\n// Arguments:\n// x - a field element.\n//\n// Returns:\n// res - TRUE if `x` represents the x coordinate of a point on the curve, FALSE otherwise.\n// Note:\n// Returns FALSE on x = 0 because there is no such point on the curve. The point at\n// infinity is represented as (0, 0), but this is just a representation, not actual coordinates.\nfunc is_x_on_curve(x: felt) -> felt {\n return is_quad_residue(x=x * x * x + StarkCurve.ALPHA * x + StarkCurve.BETA);\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/common/ec_point.cairo": "// Represents a point on an elliptic curve.\nstruct EcPoint {\n x: felt,\n y: felt,\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/common/hash_chain.cairo": "from starkware.cairo.common.cairo_builtins import HashBuiltin\n\n// Computes a hash chain of a sequence whose length is given at [data_ptr] and the data starts at\n// data_ptr + 1. The hash is calculated backwards (from the highest memory address to the lowest).\n// For example, for the 3-element sequence [x, y, z] the hash is:\n// h(3, h(x, h(y, z)))\n// If data_length = 0, the function does not return (takes more than field prime steps).\nfunc hash_chain{hash_ptr: HashBuiltin*}(data_ptr: felt*) -> (hash: felt) {\n struct LoopLocals {\n data_ptr: felt*,\n hash_ptr: HashBuiltin*,\n cur_hash: felt,\n }\n\n tempvar data_length = [data_ptr];\n tempvar data_ptr_end = data_ptr + data_length;\n // Prepare the loop_frame for the first iteration of the hash_loop.\n tempvar loop_frame = LoopLocals(\n data_ptr=data_ptr_end, hash_ptr=hash_ptr, cur_hash=[data_ptr_end]\n );\n\n hash_loop:\n let curr_frame = cast(ap - LoopLocals.SIZE, LoopLocals*);\n let current_hash: HashBuiltin* = curr_frame.hash_ptr;\n\n tempvar new_data = [curr_frame.data_ptr - 1];\n\n let n_elements_to_hash = [ap];\n // Assign current_hash inputs and allocate space for n_elements_to_hash.\n current_hash.x = new_data, ap++;\n current_hash.y = curr_frame.cur_hash;\n\n // Set the frame for the next loop iteration (going backwards).\n tempvar next_frame = LoopLocals(\n data_ptr=curr_frame.data_ptr - 1,\n hash_ptr=curr_frame.hash_ptr + HashBuiltin.SIZE,\n cur_hash=current_hash.result,\n );\n\n // Update n_elements_to_hash and loop accordingly. Note that the hash is calculated backwards.\n n_elements_to_hash = next_frame.data_ptr - data_ptr;\n jmp hash_loop if n_elements_to_hash != 0;\n\n // Set the hash_ptr implicit argument and return the result.\n let hash_ptr = next_frame.hash_ptr;\n return (hash=next_frame.cur_hash);\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/common/keccak_state.cairo": "// Represents 1600 bits of a Keccak state (8 felts each containing 200 bits).\nstruct KeccakBuiltinState {\n s0: felt,\n s1: felt,\n s2: felt,\n s3: felt,\n s4: felt,\n s5: felt,\n s6: felt,\n s7: felt,\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/common/poseidon_state.cairo": "// Represents a Poseidon state.\nstruct PoseidonBuiltinState {\n s0: felt,\n s1: felt,\n s2: felt,\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/common/registers.cairo": "from starkware.cairo.lang.compiler.lib.registers import get_ap, get_fp_and_pc\n\n// Takes the value of a label (relative to program base) and returns the actual runtime address of\n// that label in the memory.\n//\n// Usage example:\n//\n// func do_callback(...) {\n// ...\n// }\n//\n// func do_thing_then_callback(callback) {\n// ...\n// call abs callback;\n// }\n//\n// func main() {\n// let (callback_address) = get_label_location(do_callback);\n// do_thing_then_callback(callback=callback_address);\n// }\nfunc get_label_location(label_value: codeoffset) -> (res: felt*) {\n let (_, pc_val) = get_fp_and_pc();\n\n ret_pc_label:\n return (res=pc_val + (label_value - ret_pc_label));\n}\n", + "/var/lib/engflow/worker/exec/src/starkware/cairo/common/simulate_builtin_keccak_with_cairo/simulate_keccak.cairo": "from src.starkware.cairo.common.cairo_keccak.keccak import finalize_keccak\n\nfrom starkware.cairo.common.alloc import alloc\nfrom starkware.cairo.common.keccak_state import KeccakBuiltinState\n\n// This function converts a KeccakBuiltinState to an array of 25 felts, each representing 64 bits.\n// Receives a KeccakBuiltinState and a pointer to an array felts and writes 25 felts to the array.\nfunc keccak_builtin_state_to_felts{range_check_ptr}(\n keccak_builtin_state: KeccakBuiltinState, felt_array: felt*\n) {\n %{\n full_num = ids.keccak_builtin_state.s0\n full_num += (2**200) * ids.keccak_builtin_state.s1\n full_num += (2**400) * ids.keccak_builtin_state.s2\n full_num += (2**600) * ids.keccak_builtin_state.s3\n full_num += (2**800) * ids.keccak_builtin_state.s4\n full_num += (2**1000) * ids.keccak_builtin_state.s5\n full_num += (2**1200) * ids.keccak_builtin_state.s6\n full_num += (2**1400) * ids.keccak_builtin_state.s7\n for i in range(25):\n memory[ids.felt_array + i] = full_num % (2**64)\n full_num = full_num >> 64\n %}\n\n // Assert that felt_array[0], felt_array[1] and felt_array[2] consist of 8 bytes each.\n assert [range_check_ptr] = felt_array[0];\n assert [range_check_ptr + 1] = felt_array[0] - 256 ** 8 + 2 ** 128;\n assert [range_check_ptr + 2] = felt_array[1];\n assert [range_check_ptr + 3] = felt_array[1] - 256 ** 8 + 2 ** 128;\n assert [range_check_ptr + 4] = felt_array[2];\n assert [range_check_ptr + 5] = felt_array[2] - 256 ** 8 + 2 ** 128;\n\n // Split felt_array[3] into low3 (1 byte) and high3 (7 bytes).\n let low3 = [range_check_ptr + 6];\n let high3 = [range_check_ptr + 7];\n %{ ids.high3, ids.low3 = divmod(memory[ids.felt_array + 3], 256) %}\n assert [range_check_ptr + 8] = low3 - 256 + 2 ** 128;\n assert [range_check_ptr + 9] = high3 - 256 ** 7 + 2 ** 128;\n assert felt_array[3] = low3 + high3 * 256;\n\n // Assert that s0 is a concatenation of felt_array[0], felt_array[1], felt_array[2] and low3.\n assert keccak_builtin_state.s0 = felt_array[0] + felt_array[1] * 256 ** 8 + felt_array[2] *\n 256 ** 16 + low3 * 256 ** 24;\n\n // Assert that felt_array[4] and felt_array[5] consist of 8 bytes each.\n assert [range_check_ptr + 10] = felt_array[4];\n assert [range_check_ptr + 11] = felt_array[4] - 256 ** 8 + 2 ** 128;\n assert [range_check_ptr + 12] = felt_array[5];\n assert [range_check_ptr + 13] = felt_array[5] - 256 ** 8 + 2 ** 128;\n\n // Split felt_array[6] into low6 (2 byte) and high6 (6 bytes).\n let low6 = [range_check_ptr + 14];\n let high6 = [range_check_ptr + 15];\n %{ ids.high6, ids.low6 = divmod(memory[ids.felt_array + 6], 256 ** 2) %}\n assert [range_check_ptr + 16] = low6 - 256 ** 2 + 2 ** 128;\n assert [range_check_ptr + 17] = high6 - 256 ** 6 + 2 ** 128;\n assert felt_array[6] = low6 + high6 * 256 ** 2;\n\n // Assert that s1 is a concatenation of high3, felt_array[4], felt_array[5] and low6.\n assert keccak_builtin_state.s1 = high3 + felt_array[4] * 256 ** 7 + felt_array[5] * 256 ** 15 +\n low6 * 256 ** 23;\n\n // Assert that felt_array[7] and felt_array[8] consist of 8 bytes each.\n assert [range_check_ptr + 18] = felt_array[7];\n assert [range_check_ptr + 19] = felt_array[7] - 256 ** 8 + 2 ** 128;\n assert [range_check_ptr + 20] = felt_array[8];\n assert [range_check_ptr + 21] = felt_array[8] - 256 ** 8 + 2 ** 128;\n\n // Split felt_array[9] into low9 (3 byte) and high9 (5 bytes).\n let low9 = [range_check_ptr + 22];\n let high9 = [range_check_ptr + 23];\n %{ ids.high9, ids.low9 = divmod(memory[ids.felt_array + 9], 256 ** 3) %}\n assert [range_check_ptr + 24] = low9 - 256 ** 3 + 2 ** 128;\n assert [range_check_ptr + 25] = high9 - 256 ** 5 + 2 ** 128;\n assert felt_array[9] = low9 + high9 * 256 ** 3;\n\n // Assert that s2 is a concatenation of high6, felt_array[7], felt_array[8] and low9.\n assert keccak_builtin_state.s2 = high6 + felt_array[7] * 256 ** 6 + felt_array[8] * 256 ** 14 +\n low9 * 256 ** 22;\n\n // Assert that felt_array[10] and felt_array[11] consist of 8 bytes each.\n assert [range_check_ptr + 26] = felt_array[10];\n assert [range_check_ptr + 27] = felt_array[10] - 256 ** 8 + 2 ** 128;\n assert [range_check_ptr + 28] = felt_array[11];\n assert [range_check_ptr + 29] = felt_array[11] - 256 ** 8 + 2 ** 128;\n\n // Split felt_array[12] into low12 (4 byte) and high12 (4 bytes).\n let low12 = [range_check_ptr + 30];\n let high12 = [range_check_ptr + 31];\n %{ ids.high12, ids.low12 = divmod(memory[ids.felt_array + 12], 256 ** 4) %}\n assert [range_check_ptr + 32] = low12 - 256 ** 4 + 2 ** 128;\n assert [range_check_ptr + 33] = high12 - 256 ** 4 + 2 ** 128;\n assert felt_array[12] = low12 + high12 * 256 ** 4;\n\n // Assert that s3 is a concatenation of high9, felt_array[10], felt_array[11] and low12.\n assert keccak_builtin_state.s3 = high9 + felt_array[10] * 256 ** 5 + felt_array[11] * 256 **\n 13 + low12 * 256 ** 21;\n\n // Assert that felt_array[13] and felt_array[14] consist of 8 bytes each.\n assert [range_check_ptr + 34] = felt_array[13];\n assert [range_check_ptr + 35] = felt_array[13] - 256 ** 8 + 2 ** 128;\n assert [range_check_ptr + 36] = felt_array[14];\n assert [range_check_ptr + 37] = felt_array[14] - 256 ** 8 + 2 ** 128;\n\n // Split felt_array[15] into low15 (5 byte) and high15 (3 bytes).\n let low15 = [range_check_ptr + 38];\n let high15 = [range_check_ptr + 39];\n %{ ids.high15, ids.low15 = divmod(memory[ids.felt_array + 15], 256 ** 5) %}\n assert [range_check_ptr + 40] = low15 - 256 ** 5 + 2 ** 128;\n assert [range_check_ptr + 41] = high15 - 256 ** 3 + 2 ** 128;\n assert felt_array[15] = low15 + high15 * 256 ** 5;\n\n // Assert that s4 is a concatenation of high12, felt_array[13], felt_array[14] and low15.\n assert keccak_builtin_state.s4 = high12 + felt_array[13] * 256 ** 4 + felt_array[14] * 256 **\n 12 + low15 * 256 ** 20;\n\n // Assert that felt_array[16] and felt_array[17] consist of 8 bytes each..\n assert [range_check_ptr + 42] = felt_array[16];\n assert [range_check_ptr + 43] = felt_array[16] - 256 ** 8 + 2 ** 128;\n assert [range_check_ptr + 44] = felt_array[17];\n assert [range_check_ptr + 45] = felt_array[17] - 256 ** 8 + 2 ** 128;\n\n // Split felt_array[18] into low18 (6 byte) and high18 (2 bytes).\n let low18 = [range_check_ptr + 46];\n let high18 = [range_check_ptr + 47];\n %{ ids.high18, ids.low18 = divmod(memory[ids.felt_array + 18], 256 ** 6) %}\n assert [range_check_ptr + 48] = low18 - 256 ** 6 + 2 ** 128;\n assert [range_check_ptr + 49] = high18 - 256 ** 2 + 2 ** 128;\n assert felt_array[18] = low18 + high18 * 256 ** 6;\n\n // Assert that s5 is a concatenation of high15, felt_array[16], felt_array[17] and low18.\n assert keccak_builtin_state.s5 = high15 + felt_array[16] * 256 ** 3 + felt_array[17] * 256 **\n 11 + low18 * 256 ** 19;\n\n // Assert that felt_array[19] and felt_array[20] consist of 8 bytes each..\n assert [range_check_ptr + 50] = felt_array[19];\n assert [range_check_ptr + 51] = felt_array[19] - 256 ** 8 + 2 ** 128;\n assert [range_check_ptr + 52] = felt_array[20];\n assert [range_check_ptr + 53] = felt_array[20] - 256 ** 8 + 2 ** 128;\n\n // Split felt_array[21] into low21 (7 byte) and high21 (1 bytes).\n let low21 = [range_check_ptr + 54];\n let high21 = [range_check_ptr + 55];\n %{ ids.high21, ids.low21 = divmod(memory[ids.felt_array + 21], 256 ** 7) %}\n assert [range_check_ptr + 56] = low21 - 256 ** 7 + 2 ** 128;\n assert [range_check_ptr + 57] = high21 - 256 + 2 ** 128;\n assert felt_array[21] = low21 + high21 * 256 ** 7;\n\n // Assert that s6 is a concatenation of high18, felt_array[19], felt_array[20] and low21.\n assert keccak_builtin_state.s6 = high18 + felt_array[19] * 256 ** 2 + felt_array[20] * 256 **\n 10 + low21 * 256 ** 18;\n\n // Assert that felt_array[22], felt_array[23] and felt_array[24] consist of 8 bytes each..\n assert [range_check_ptr + 58] = felt_array[22];\n assert [range_check_ptr + 59] = felt_array[22] - 256 ** 8 + 2 ** 128;\n assert [range_check_ptr + 60] = felt_array[23];\n assert [range_check_ptr + 61] = felt_array[23] - 256 ** 8 + 2 ** 128;\n assert [range_check_ptr + 62] = felt_array[24];\n assert [range_check_ptr + 63] = felt_array[24] - 256 ** 8 + 2 ** 128;\n\n // Assert that s7 is a concatenation of high21, felt_array[22],\n // felt_array[23] and felt_array[24].\n assert keccak_builtin_state.s7 = high21 + felt_array[22] * 256 + felt_array[23] * 256 ** 9 +\n felt_array[24] * 256 ** 17;\n\n let range_check_ptr = range_check_ptr + 64;\n\n return ();\n}\n", + "": "__start__:\nap += main.Args.SIZE + main.ImplicitArgs.SIZE;\ncall main;\n\n__end__:\njmp rel 0;\n", + "src/starkware/cairo/bootloaders/simple_bootloader/simple_bootloader.cairo": "%builtins output pedersen range_check ecdsa bitwise ec_op keccak poseidon range_check96 add_mod mul_mod\n\nfrom starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader import (\n run_simple_bootloader,\n)\nfrom starkware.cairo.bootloaders.simple_bootloader.verify_builtins import (\n handle_ec_op_builtin_verification,\n handle_ecdsa_builtin_verification,\n handle_keccak_builtin_verification,\n handle_uninitialized_ec_op_builtin,\n handle_uninitialized_ecdsa_builtin,\n handle_uninitialized_keccak_builtin,\n)\nfrom starkware.cairo.common.cairo_builtins import HashBuiltin, PoseidonBuiltin\nfrom starkware.cairo.common.registers import get_fp_and_pc\n\n// For documentation of the simple bootloader, see the docstring of `run_simple_bootloader'.\n// Hint arguments:\n// program_input - contains the tasks to execute. Formatted as a SimpleBootloaderInput object.\nfunc main{\n output_ptr: felt*,\n pedersen_ptr: HashBuiltin*,\n range_check_ptr,\n ecdsa_ptr,\n bitwise_ptr,\n ec_op_ptr,\n keccak_ptr,\n poseidon_ptr: PoseidonBuiltin*,\n range_check96_ptr,\n add_mod_ptr,\n mul_mod_ptr,\n}() {\n alloc_locals;\n %{\n from starkware.cairo.bootloaders.simple_bootloader.objects import SimpleBootloaderInput\n simple_bootloader_input = SimpleBootloaderInput.Schema().load(program_input)\n %}\n\n // Handle ec_op builtin. See docstring of `handle_uninitialized_ec_op_builtin` for more info.\n local ec_op_ptr_orig = ec_op_ptr;\n let (local ec_op_ptr) = handle_uninitialized_ec_op_builtin(ec_op_ptr=ec_op_ptr);\n local ec_op_start_ptr = ec_op_ptr;\n\n // Handle keccak builtin. See docstring of `handle_uninitialized_keccak_builtin` for more info.\n local keccak_ptr_orig = keccak_ptr;\n let (local keccak_ptr) = handle_uninitialized_keccak_builtin(keccak_ptr=keccak_ptr);\n local keccak_start_ptr = keccak_ptr;\n\n // Handle ecdsa builtin. See docstring of `handle_uninitialized_ecdsa_builtin` for more info.\n local ecdsa_ptr_orig = ecdsa_ptr;\n let (local ecdsa_ptr) = handle_uninitialized_ecdsa_builtin(ecdsa_ptr=ecdsa_ptr);\n local ecdsa_start_ptr = ecdsa_ptr;\n\n // Execute tasks.\n run_simple_bootloader();\n\n // Verify the ec_op builtin. See docstring of `handle_ec_op_builtin_verification` for more info.\n let (local ec_op_ptr) = handle_ec_op_builtin_verification(\n ec_op_ptr=ec_op_ptr, ec_op_ptr_orig=ec_op_ptr_orig, ec_op_start_ptr=ec_op_start_ptr\n );\n\n // Verify the keccak builtin. See docstring of `handle_keccak_builtin_verification` for more\n // info.\n let (local keccak_ptr) = handle_keccak_builtin_verification(\n keccak_ptr=keccak_ptr, keccak_ptr_orig=keccak_ptr_orig, keccak_start_ptr=keccak_start_ptr\n );\n\n // Verify the ecdsa builtin. See docstring of `handle_ecdsa_builtin_verification` for more info.\n let (local ecdsa_ptr) = handle_ecdsa_builtin_verification(\n ecdsa_ptr=ecdsa_ptr, ecdsa_ptr_orig=ecdsa_ptr_orig, ecdsa_start_ptr=ecdsa_start_ptr\n );\n\n %{\n # Dump fact topologies to a json file.\n from starkware.cairo.bootloaders.simple_bootloader.utils import (\n configure_fact_topologies,\n write_to_fact_topologies_file,\n )\n\n # The task-related output is prefixed by a single word that contains the number of tasks.\n tasks_output_start = output_builtin.base + 1\n\n if not simple_bootloader_input.single_page:\n # Configure the memory pages in the output builtin, based on fact_topologies.\n configure_fact_topologies(\n fact_topologies=fact_topologies, output_start=tasks_output_start,\n output_builtin=output_builtin,\n )\n\n if simple_bootloader_input.fact_topologies_path is not None:\n write_to_fact_topologies_file(\n fact_topologies_path=simple_bootloader_input.fact_topologies_path,\n fact_topologies=fact_topologies,\n )\n %}\n return ();\n}\n" + }, + "instruction_locations": { + "0": { + "accessible_scopes": [ + "__main__" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 0 + }, + "reference_ids": {} + }, + "hints": [], + "inst": { + "end_col": 46, + "end_line": 2, + "input_file": { + "filename": "" + }, + "start_col": 1, + "start_line": 2 + } + }, + "2": { + "accessible_scopes": [ + "__main__" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 11 + }, + "reference_ids": {} + }, + "hints": [], + "inst": { + "end_col": 10, + "end_line": 3, + "input_file": { + "filename": "" + }, + "start_col": 1, + "start_line": 3 + } + }, + "4": { + "accessible_scopes": [ + "__main__" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 0 + }, + "reference_ids": {} + }, + "hints": [], + "inst": { + "end_col": 10, + "end_line": 6, + "input_file": { + "filename": "" + }, + "start_col": 1, + "start_line": 6 + } 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"starkware.cairo.builtin_selection.select_input_builtins.select_input_builtins.selected_ptrs": 21, + "starkware.cairo.builtin_selection.select_input_builtins.select_input_builtins.total_func_memory": 19 + } + } + } + ], + "57": [ + { + "accessible_scopes": [ + "starkware.cairo.builtin_selection.select_input_builtins", + "starkware.cairo.builtin_selection.select_input_builtins.select_input_builtins" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.builtin_selection.select_input_builtins.select_input_builtins.__temp1": 22, + "starkware.cairo.builtin_selection.select_input_builtins.select_input_builtins.__temp2": 23, + "starkware.cairo.builtin_selection.select_input_builtins.select_input_builtins.all_encodings": 13, + "starkware.cairo.builtin_selection.select_input_builtins.select_input_builtins.all_ptrs": 14, + "starkware.cairo.builtin_selection.select_input_builtins.select_input_builtins.frame": 20, + "starkware.cairo.builtin_selection.select_input_builtins.select_input_builtins.inner_func_memory": 18, + "starkware.cairo.builtin_selection.select_input_builtins.select_input_builtins.inner_ret": 24, + "starkware.cairo.builtin_selection.select_input_builtins.select_input_builtins.n_all_builtins": 15, + "starkware.cairo.builtin_selection.select_input_builtins.select_input_builtins.n_selected_builtins": 17, + "starkware.cairo.builtin_selection.select_input_builtins.select_input_builtins.selected_encodings": 16, + "starkware.cairo.builtin_selection.select_input_builtins.select_input_builtins.selected_ptrs": 21, + "starkware.cairo.builtin_selection.select_input_builtins.select_input_builtins.total_func_memory": 19 + } + } + } + ], + "95": [ + { + "accessible_scopes": [ + "starkware.cairo.common.builtin_poseidon.poseidon", + "starkware.cairo.common.builtin_poseidon.poseidon.poseidon_hash_many" + ], + "code": "memory[ap] = to_felt_or_relocatable(ids.elements_end - ids.elements >= 10)", + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 5 + }, + "reference_ids": { + "starkware.cairo.common.builtin_poseidon.poseidon.poseidon_hash_many.elements": 44, + "starkware.cairo.common.builtin_poseidon.poseidon.poseidon_hash_many.elements_end": 42, + "starkware.cairo.common.builtin_poseidon.poseidon.poseidon_hash_many.n": 39, + "starkware.cairo.common.builtin_poseidon.poseidon.poseidon_hash_many.poseidon_ptr": 45, + "starkware.cairo.common.builtin_poseidon.poseidon.poseidon_hash_many.state": 43 + } + } + } + ], + "157": [ + { + "accessible_scopes": [ + "starkware.cairo.common.builtin_poseidon.poseidon", + "starkware.cairo.common.builtin_poseidon.poseidon.poseidon_hash_many" + ], + "code": "memory[ap] = to_felt_or_relocatable(ids.elements_end - ids.elements >= 2)", + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 6 + }, + "reference_ids": { + "starkware.cairo.common.builtin_poseidon.poseidon.poseidon_hash_many.__temp3": 46, + "starkware.cairo.common.builtin_poseidon.poseidon.poseidon_hash_many.elements": 44, + "starkware.cairo.common.builtin_poseidon.poseidon.poseidon_hash_many.elements_end": 42, + "starkware.cairo.common.builtin_poseidon.poseidon.poseidon_hash_many.n": 39, + "starkware.cairo.common.builtin_poseidon.poseidon.poseidon_hash_many.poseidon_ptr": 45, + "starkware.cairo.common.builtin_poseidon.poseidon.poseidon_hash_many.state": 43 + } + } + } + ], + "205": [ + { + "accessible_scopes": [ + "starkware.cairo.common.alloc", + "starkware.cairo.common.alloc.alloc" + ], + "code": "memory[ap] = segments.add()", + "flow_tracking_data": { + "ap_tracking": { + "group": 15, + "offset": 0 + }, + "reference_ids": {} + } + } + ], + "213": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_nn" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert 0 <= ids.a % PRIME < range_check_builtin.bound, f'a = {ids.a} is out of range.'", + "flow_tracking_data": { + "ap_tracking": { + "group": 17, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_nn.a": 116, + "starkware.cairo.common.math.assert_nn.range_check_ptr": 117 + } + } + } + ], + "222": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.unsigned_div_rem" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.div)\nassert 0 < ids.div <= PRIME // range_check_builtin.bound, \\\n f'div={hex(ids.div)} is out of the valid range.'\nids.q, ids.r = divmod(ids.value, ids.div)", + "flow_tracking_data": { + "ap_tracking": { + "group": 19, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.unsigned_div_rem.div": 124, + "starkware.cairo.common.math.unsigned_div_rem.q": 127, + "starkware.cairo.common.math.unsigned_div_rem.r": 126, + "starkware.cairo.common.math.unsigned_div_rem.range_check_ptr": 128, + "starkware.cairo.common.math.unsigned_div_rem.value": 123 + } + } + } + ], + "239": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.is_quad_residue" + ], + "code": "from starkware.crypto.signature.signature import FIELD_PRIME\nfrom starkware.python.math_utils import div_mod, is_quad_residue, sqrt\n\nx = ids.x\nif is_quad_residue(x, FIELD_PRIME):\n ids.y = sqrt(x, FIELD_PRIME)\nelse:\n ids.y = sqrt(div_mod(x, 3, FIELD_PRIME), FIELD_PRIME)", + "flow_tracking_data": { + "ap_tracking": { + "group": 20, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.math.is_quad_residue.x": 133, + "starkware.cairo.common.math.is_quad_residue.y": 134 + } + } + } + ], + "257": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "vm_enter_scope({'n': ids.len})", + "flow_tracking_data": { + "ap_tracking": { + "group": 21, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.dst": 138, + "starkware.cairo.common.memcpy.memcpy.len": 140, + "starkware.cairo.common.memcpy.memcpy.src": 139 + } + } + } + ], + "265": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "n -= 1\nids.continue_copying = 1 if n > 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 21, + "offset": 5 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.__temp51": 143, + "starkware.cairo.common.memcpy.memcpy.continue_copying": 144, + "starkware.cairo.common.memcpy.memcpy.dst": 138, + "starkware.cairo.common.memcpy.memcpy.frame": 142, + "starkware.cairo.common.memcpy.memcpy.len": 140, + "starkware.cairo.common.memcpy.memcpy.next_frame": 145, + "starkware.cairo.common.memcpy.memcpy.src": 139 + } + } + } + ], + "268": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 21, + "offset": 6 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.__temp51": 143, + "starkware.cairo.common.memcpy.memcpy.continue_copying": 144, + "starkware.cairo.common.memcpy.memcpy.dst": 138, + "starkware.cairo.common.memcpy.memcpy.frame": 142, + "starkware.cairo.common.memcpy.memcpy.len": 140, + "starkware.cairo.common.memcpy.memcpy.next_frame": 145, + "starkware.cairo.common.memcpy.memcpy.src": 139 + } + } + } + ], + "272": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "vm_enter_scope({'n': ids.n})", + "flow_tracking_data": { + "ap_tracking": { + "group": 22, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.dst": 146, + "starkware.cairo.common.memset.memset.n": 148, + "starkware.cairo.common.memset.memset.value": 147 + } + } + } + ], + "276": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "n -= 1\nids.continue_loop = 1 if n > 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 22, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.continue_loop": 151, + "starkware.cairo.common.memset.memset.dst": 146, + "starkware.cairo.common.memset.memset.frame": 150, + "starkware.cairo.common.memset.memset.n": 148, + "starkware.cairo.common.memset.memset.next_frame": 152, + "starkware.cairo.common.memset.memset.value": 147 + } + } + } + ], + "279": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 22, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.continue_loop": 151, + "starkware.cairo.common.memset.memset.dst": 146, + "starkware.cairo.common.memset.memset.frame": 150, + "starkware.cairo.common.memset.memset.n": 148, + "starkware.cairo.common.memset.memset.next_frame": 152, + "starkware.cairo.common.memset.memset.value": 147 + } + } + } + ], + "287": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_blake2s.blake2s", + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s" + ], + "code": "offset = 0\nfor i in range(ids.packed_values_len):\n val = (memory[ids.packed_values + i] % PRIME)\n val_len = 2 if val < 2**63 else 8\n if val_len == 8:\n val += 2**255\n for i in range(val_len - 1, -1, -1):\n val, memory[ids.unpacked_u32s + offset + i] = divmod(val, 2**32)\n assert val == 0\n offset += val_len", + "flow_tracking_data": { + "ap_tracking": { + "group": 23, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s.EXP31": 158, + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s.U63_MAX": 157, + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s.end": 159, + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s.packed_values": 154, + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s.packed_values_len": 153, + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s.range_check_ptr": 156, + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s.unpacked_u32s": 155 + } + } + } + ], + "290": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_blake2s.blake2s", + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s" + ], + "code": "memory[ap] = to_felt_or_relocatable((ids.end != ids.packed_values) and (memory[ids.packed_values] < 2**63))", + "flow_tracking_data": { + "ap_tracking": { + "group": 23, + "offset": 6 + }, + "reference_ids": { + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s.EXP31": 158, + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s.U63_MAX": 157, + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s.end": 159, + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s.out": 160, + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s.packed_values": 161, + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s.packed_values_len": 153, + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s.range_check_ptr": 162, + "starkware.cairo.common.cairo_blake2s.blake2s.encode_felt252_to_u32s.unpacked_u32s": 155 + } + } + } + ], + "563": [ + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.execute_task", + "starkware.cairo.bootloaders.simple_bootloader.execute_task.load_program_segment" + ], + "code": "DETERMINE_USE_PREV_HASH", + "flow_tracking_data": { + "ap_tracking": { + "group": 38, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.execute_task.load_program_segment.pedersen_ptr": 300, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.load_program_segment.poseidon_ptr": 301, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.load_program_segment.prev_program_task_params": 303, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.load_program_segment.program_hash_function": 299, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.load_program_segment.self_range_check_ptr": 302, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.load_program_segment.use_prev_hash": 304 + } + } + } + ], + "578": [ + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.execute_task", + "starkware.cairo.bootloaders.simple_bootloader.execute_task.load_program_segment" + ], + "code": "LOAD_PROGRAM_SEGMENT", + "flow_tracking_data": { + "ap_tracking": { + "group": 38, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.execute_task.load_program_segment.pedersen_ptr": 300, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.load_program_segment.poseidon_ptr": 301, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.load_program_segment.prev_program_task_params": 303, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.load_program_segment.program_hash_function": 299, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.load_program_segment.program_header": 306, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.load_program_segment.program_segment_ptr": 305, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.load_program_segment.self_range_check_ptr": 302, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.load_program_segment.use_prev_hash": 304 + } + } + } + ], + "621": [ + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.execute_task", + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task" + ], + "code": "# Sanity check.\nassert ids.program_address == program_address", + "flow_tracking_data": { + "ap_tracking": { + "group": 41, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.__fp__": 330, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_encodings": 313, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_instance_sizes": 314, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_list": 333, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_ptrs": 316, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.n_builtins": 334, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.output_ptr": 331, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.pedersen_ptr": 321, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.poseidon_ptr": 322, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.prev_program_task_params": 328, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_address": 335, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_hash": 325, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_hash_function": 315, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_header": 332, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_segment_ptr": 326, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.self_range_check_ptr": 327 + } + } + } + ], + "644": [ + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.execute_task", + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task" + ], + "code": "from starkware.cairo.bootloaders.simple_bootloader.objects import (\n CairoPieTask,\n RunProgramTask,\n Task,\n)\nfrom starkware.cairo.bootloaders.simple_bootloader.utils import (\n load_cairo_pie,\n prepare_output_runner,\n)\n\nassert isinstance(task, Task)\nn_builtins = len(task.get_program().builtins)\nnew_task_locals = {}\nif isinstance(task, RunProgramTask):\n new_task_locals['program_input'] = task.program_input\n new_task_locals['WITH_BOOTLOADER'] = True\n\n vm_load_program(task.program, program_address)\nelif isinstance(task, CairoPieTask):\n ret_pc = ids.ret_pc_label.instruction_offset_ - ids.call_task.instruction_offset_ + pc\n load_cairo_pie(\n task=task.cairo_pie, memory=memory, segments=segments,\n program_address=program_address, execution_segment_address= ap - n_builtins,\n builtin_runners=builtin_runners, ret_fp=fp, ret_pc=ret_pc,\n ecdsa_additional_data=vm_ecdsa_additional_data)\nelse:\n raise NotImplementedError(f'Unexpected task type: {type(task).__name__}.')\n\noutput_runner_data = prepare_output_runner(\n task=task,\n output_builtin=output_builtin,\n output_ptr=ids.pre_execution_builtin_ptrs.output)\nvm_enter_scope(new_task_locals)", + "flow_tracking_data": { + "ap_tracking": { + "group": 42, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.__fp__": 330, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_encodings": 313, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_instance_sizes": 314, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_list": 333, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_ptrs": 316, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.n_builtins": 334, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.output_ptr": 331, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.pedersen_ptr": 321, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.poseidon_ptr": 322, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.pre_execution_builtin_ptrs": 338, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.prev_program_task_params": 328, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_address": 335, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_entry_point": 337, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_hash": 325, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_hash_function": 315, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_header": 332, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_main": 336, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_segment_ptr": 326, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.self_range_check_ptr": 327 + } + } + } + ], + "645": [ + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.execute_task", + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task" + ], + "code": "vm_exit_scope()\n# Note that bootloader_input will only be available in the next hint.", + "flow_tracking_data": { + "ap_tracking": { + "group": 43, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.__fp__": 330, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_encodings": 313, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_instance_sizes": 314, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_list": 333, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_ptrs": 316, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.n_builtins": 334, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.output_ptr": 331, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.pedersen_ptr": 321, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.poseidon_ptr": 322, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.pre_execution_builtin_ptrs": 338, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.prev_program_task_params": 328, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_address": 335, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_entry_point": 337, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_hash": 325, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_hash_function": 315, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_header": 332, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_main": 336, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_segment_ptr": 326, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.self_range_check_ptr": 327 + } + } + } + ], + "648": [ + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.execute_task", + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task" + ], + "code": "from starkware.cairo.bootloaders.simple_bootloader.utils import write_return_builtins\n\n# Fill the values of all builtin pointers after executing the task.\nbuiltins = task.get_program().builtins\nwrite_return_builtins(\n memory=memory, return_builtins_addr=ids.return_builtin_ptrs.address_,\n used_builtins=builtins, used_builtins_addr=ids.used_builtins_addr,\n pre_execution_builtins_addr=ids.pre_execution_builtin_ptrs.address_, task=task)\n\nvm_enter_scope({'n_selected_builtins': n_builtins})", + "flow_tracking_data": { + "ap_tracking": { + "group": 43, + "offset": 5 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.__fp__": 330, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.ap_val": 339, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_encodings": 313, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_instance_sizes": 314, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_list": 333, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_ptrs": 316, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.n_builtins": 334, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.output_ptr": 331, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.pedersen_ptr": 321, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.poseidon_ptr": 322, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.pre_execution_builtin_ptrs": 338, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.prev_program_task_params": 328, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_address": 335, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_entry_point": 337, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_hash": 325, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_hash_function": 315, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_header": 332, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_main": 336, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_segment_ptr": 326, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.return_builtin_ptrs": 341, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.self_range_check_ptr": 327, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.used_builtins_addr": 340 + } + } + } + ], + "657": [ + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.execute_task", + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 44, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.__fp__": 330, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.ap_val": 339, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_encodings": 313, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_instance_sizes": 314, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_list": 333, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_ptrs": 316, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.n_builtins": 334, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.output_ptr": 331, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.pedersen_ptr": 321, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.poseidon_ptr": 322, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.pre_execution_builtin_ptrs": 338, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.prev_program_task_params": 328, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_address": 335, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_entry_point": 337, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_hash": 325, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_hash_function": 315, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_header": 332, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_main": 336, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_segment_ptr": 326, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.return_builtin_ptrs": 341, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.select_builtins_ret": 342, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.self_range_check_ptr": 327, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.used_builtins_addr": 340 + } + } + } + ], + "670": [ + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.execute_task", + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task" + ], + "code": "from starkware.cairo.bootloaders.simple_bootloader.utils import get_task_fact_topology\n\n# Add the fact topology of the current task to 'fact_topologies'.\noutput_start = ids.pre_execution_builtin_ptrs.output\noutput_end = ids.return_builtin_ptrs.output\nfact_topologies.append(get_task_fact_topology(\n output_size=output_end - output_start,\n task=task,\n output_builtin=output_builtin,\n output_runner_data=output_runner_data,\n))", + "flow_tracking_data": { + "ap_tracking": { + "group": 45, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.__fp__": 330, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.ap_val": 339, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_encodings": 313, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_instance_sizes": 314, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_list": 333, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.builtin_ptrs": 316, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.n_builtins": 334, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.output_ptr": 331, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.output_size": 344, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.pedersen_ptr": 321, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.poseidon_ptr": 322, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.pre_execution_builtin_ptrs": 338, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.prev_program_task_params": 328, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_address": 335, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_entry_point": 337, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_hash": 325, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_hash_function": 315, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_header": 332, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_main": 336, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.program_segment_ptr": 326, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.return_builtin_ptrs": 341, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.select_builtins_ret": 342, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.self_range_check_ptr": 343, + "starkware.cairo.bootloaders.simple_bootloader.execute_task.execute_task.used_builtins_addr": 340 + } + } + } + ], + "675": [ + { + "accessible_scopes": [ + "starkware.cairo.common.segments", + "starkware.cairo.common.segments.relocate_segment" + ], + "code": "memory.add_relocation_rule(src_ptr=ids.src_ptr, dest_ptr=ids.dest_ptr)", + "flow_tracking_data": { + "ap_tracking": { + "group": 46, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.segments.relocate_segment.dest_ptr": 347, + "starkware.cairo.common.segments.relocate_segment.src_ptr": 346 + } + } + } + ], + "679": [ + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader", + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader" + ], + "code": "SETUP_RUN_SIMPLE_BOOTLOADER_BEFORE_TASK_EXECUTION", + "flow_tracking_data": { + "ap_tracking": { + "group": 47, + "offset": 35 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.add_mod_ptr": 357, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.bitwise_ptr": 352, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.ec_op_ptr": 353, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.ecdsa_ptr": 351, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.initial_subtasks_range_check_ptr": 359, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.keccak_ptr": 354, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.mul_mod_ptr": 358, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.output_ptr": 348, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.pedersen_ptr": 349, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.poseidon_ptr": 355, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.range_check96_ptr": 356, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.range_check_ptr": 350 + } + } + } + ], + "737": [ + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader", + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader" + ], + "code": "tasks = simple_bootloader_input.tasks", + "flow_tracking_data": { + "ap_tracking": { + "group": 47, + "offset": 37 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.__fp__": 365, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.add_mod_ptr": 357, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.bitwise_ptr": 352, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.builtin_encodings": 363, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.builtin_instance_sizes": 364, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.builtin_ptrs_before": 362, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.ec_op_ptr": 353, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.ecdsa_ptr": 351, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.initial_subtasks_range_check_ptr": 359, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.keccak_ptr": 354, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.mul_mod_ptr": 358, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.n_tasks": 360, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.output_ptr": 361, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.pedersen_ptr": 349, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.poseidon_ptr": 355, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.range_check96_ptr": 356, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.run_simple_bootloader.range_check_ptr": 350 + } + } + } + ], + "786": [ + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader", + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.verify_non_negative" + ], + "code": "memory[ap] = to_felt_or_relocatable(ids.num // 2)", + "flow_tracking_data": { + "ap_tracking": { + "group": 50, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.verify_non_negative.n_bits": 387, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.verify_non_negative.num": 386 + } + } + } + ], + "803": [ + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader", + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.execute_tasks" + ], + "code": "SIMPLE_BOOTLOADER_SET_CURRENT_TASK", + "flow_tracking_data": { + "ap_tracking": { + "group": 52, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.execute_tasks.builtin_encodings": 391, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.execute_tasks.builtin_instance_sizes": 392, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.execute_tasks.builtin_ptrs": 394, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.execute_tasks.n_tasks": 393, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.execute_tasks.prev_program_task_params": 396, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.execute_tasks.self_range_check_ptr": 395 + } + } + }, + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader", + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.execute_tasks" + ], + "code": "memory[ap] = to_felt_or_relocatable(task.program_hash_function)", + "flow_tracking_data": { + "ap_tracking": { + "group": 52, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.execute_tasks.builtin_encodings": 391, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.execute_tasks.builtin_instance_sizes": 392, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.execute_tasks.builtin_ptrs": 394, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.execute_tasks.n_tasks": 393, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.execute_tasks.prev_program_task_params": 396, + "starkware.cairo.bootloaders.simple_bootloader.run_simple_bootloader.execute_tasks.self_range_check_ptr": 395 + } + } + } + ], + "912": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_ec_op.ec_op", + "starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo" + ], + "code": "curr_m = ids.m\nfor i in range(ids.M_MAX_BITS):\n memory[ids.m_bit_unpacking + i] = curr_m % 2\n curr_m = curr_m >> 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 59, + "offset": 14 + }, + "reference_ids": { + "starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.__temp147": 437, + "starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.__temp148": 438, + "starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.__temp149": 439, + "starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.__temp150": 441, + "starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.__temp151": 442, + "starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.__temp152": 443, + "starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.m": 435, + "starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.m_bit_unpacking": 446, + "starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.p": 434, + "starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.q": 436, + "starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.rhs_p": 440, + "starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.rhs_q": 444 + } + } + } + ], + "959": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_ec_op.ec_op", + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner" + ], + "code": "assert False, \"ec_op failed.\"", + "flow_tracking_data": { + "ap_tracking": { + "group": 65, + "offset": 4 + }, + "reference_ids": { + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp153": 456, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp154": 457, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.curr_m": 455, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.doubled_point": 452, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.index": 454, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.m_bit_unpacking": 453, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.partial_sum": 451 + } + } + } + ], + "1001": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_ec_op.ec_op", + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner" + ], + "code": "assert False, \"ec_op failed.\"", + "flow_tracking_data": { + "ap_tracking": { + "group": 66, + "offset": 12 + }, + "reference_ids": { + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp153": 456, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp154": 457, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp155": 458, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp156": 459, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp164": 472, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp165": 473, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp166": 474, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp167": 475, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp168": 476, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp169": 478, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp170": 479, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp171": 481, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp172": 482, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp173": 484, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.curr_m": 455, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.doubled_point": 483, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.index": 454, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.m_bit_unpacking": 453, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.partial_sum": 471, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.r_x": 480, + "starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.slope": 477 + } + } + } + ], + "1114": [ + { + "accessible_scopes": [ + "src.starkware.cairo.common.cairo_ec_op.ec_op", + "src.starkware.cairo.common.cairo_ec_op.ec_op.cairo_ec_op" + ], + "code": "from starkware.crypto.signature.signature import ALPHA, BETA, FIELD_PRIME\nfrom starkware.python.math_utils import random_ec_point\nfrom starkware.python.utils import to_bytes\n\n# Define a seed for random_ec_point that's dependent on all the input, so that:\n# (1) The added point s is deterministic.\n# (2) It's hard to choose inputs for which the builtin will fail.\nseed = b\"\".join(map(to_bytes, [ids.p.x, ids.p.y, ids.m, ids.q.x, ids.q.y]))\nids.s.x, ids.s.y = random_ec_point(FIELD_PRIME, ALPHA, BETA, seed)", + "flow_tracking_data": { + "ap_tracking": { + "group": 75, + "offset": 2 + }, + "reference_ids": { + "src.starkware.cairo.common.cairo_ec_op.ec_op.cairo_ec_op.m": 526, + "src.starkware.cairo.common.cairo_ec_op.ec_op.cairo_ec_op.p": 525, + "src.starkware.cairo.common.cairo_ec_op.ec_op.cairo_ec_op.q": 527, + "src.starkware.cairo.common.cairo_ec_op.ec_op.cairo_ec_op.s": 528 + } + } + } + ], + "1154": [ + { + "accessible_scopes": [ + "src.starkware.cairo.common.cairo_ec_op.ec_op", + "src.starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo" + ], + "code": "curr_m = ids.m\nfor i in range(ids.M_MAX_BITS):\n memory[ids.m_bit_unpacking + i] = curr_m % 2\n curr_m = curr_m >> 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 80, + "offset": 14 + }, + "reference_ids": { + "src.starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.__temp202": 535, + "src.starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.__temp203": 536, + "src.starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.__temp204": 537, + "src.starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.__temp205": 539, + "src.starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.__temp206": 540, + "src.starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.__temp207": 541, + "src.starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.m": 533, + "src.starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.m_bit_unpacking": 544, + "src.starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.p": 532, + "src.starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.q": 534, + "src.starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.rhs_p": 538, + "src.starkware.cairo.common.cairo_ec_op.ec_op.simulate_builtin_ec_op_with_cairo.rhs_q": 542 + } + } + } + ], + "1191": [ + { + "accessible_scopes": [ + "src.starkware.cairo.common.cairo_ec_op.ec_op", + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner" + ], + "code": "assert False, \"ec_op failed.\"", + "flow_tracking_data": { + "ap_tracking": { + "group": 84, + "offset": 4 + }, + "reference_ids": { + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp208": 552, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp209": 553, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.curr_m": 551, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.doubled_point": 548, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.index": 550, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.m_bit_unpacking": 549, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.partial_sum": 547 + } + } + } + ], + "1233": [ + { + "accessible_scopes": [ + "src.starkware.cairo.common.cairo_ec_op.ec_op", + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner" + ], + "code": "assert False, \"ec_op failed.\"", + "flow_tracking_data": { + "ap_tracking": { + "group": 85, + "offset": 12 + }, + "reference_ids": { + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp208": 552, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp209": 553, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp210": 554, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp211": 555, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp219": 568, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp220": 569, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp221": 570, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp222": 571, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp223": 572, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp224": 574, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp225": 575, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp226": 577, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp227": 578, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.__temp228": 580, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.curr_m": 551, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.doubled_point": 579, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.index": 550, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.m_bit_unpacking": 549, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.partial_sum": 567, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.r_x": 576, + "src.starkware.cairo.common.cairo_ec_op.ec_op._ec_op_inner.slope": 573 + } + } + } + ], + "1412": [ + { + "accessible_scopes": [ + "starkware.cairo.common.ec", + "starkware.cairo.common.ec.recover_y" + ], + "code": "from starkware.crypto.signature.signature import ALPHA, BETA, FIELD_PRIME\nfrom starkware.python.math_utils import recover_y\nids.p.x = ids.x\n# This raises an exception if `x` is not on the curve.\nids.p.y = recover_y(ids.x, ALPHA, BETA, FIELD_PRIME)", + "flow_tracking_data": { + "ap_tracking": { + "group": 98, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.ec.recover_y.p": 652, + "starkware.cairo.common.ec.recover_y.x": 651 + } + } + } + ], + "1475": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_ecdsa.ecdsa", + "starkware.cairo.common.cairo_ecdsa.ecdsa.check_ecdsa_signature_cairo" + ], + "code": "# ids.StarkCurve.ORDER is parsed as a negative number.\norder = ids.StarkCurve.ORDER + PRIME\nids.w = pow(ids.signature_s, -1, order)\nids.wz = ids.w*ids.message % order\nids.wr = ids.w*ids.signature_r % order", + "flow_tracking_data": { + "ap_tracking": { + "group": 101, + "offset": 39 + }, + "reference_ids": { + "starkware.cairo.common.cairo_ecdsa.ecdsa.check_ecdsa_signature_cairo.__temp281": 663, + "starkware.cairo.common.cairo_ecdsa.ecdsa.check_ecdsa_signature_cairo.__temp282": 664, + "starkware.cairo.common.cairo_ecdsa.ecdsa.check_ecdsa_signature_cairo.message": 657, + "starkware.cairo.common.cairo_ecdsa.ecdsa.check_ecdsa_signature_cairo.mul_mod_ptr": 662, + "starkware.cairo.common.cairo_ecdsa.ecdsa.check_ecdsa_signature_cairo.on_curve": 666, + "starkware.cairo.common.cairo_ecdsa.ecdsa.check_ecdsa_signature_cairo.public_key": 658, + "starkware.cairo.common.cairo_ecdsa.ecdsa.check_ecdsa_signature_cairo.range_check96_ptr": 661, + "starkware.cairo.common.cairo_ecdsa.ecdsa.check_ecdsa_signature_cairo.signature_r": 659, + "starkware.cairo.common.cairo_ecdsa.ecdsa.check_ecdsa_signature_cairo.signature_s": 660, + "starkware.cairo.common.cairo_ecdsa.ecdsa.check_ecdsa_signature_cairo.w": 667, + "starkware.cairo.common.cairo_ecdsa.ecdsa.check_ecdsa_signature_cairo.wr": 669, + "starkware.cairo.common.cairo_ecdsa.ecdsa.check_ecdsa_signature_cairo.wz": 668 + } + } + } + ], + "1615": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_ecdsa.ecdsa", + "starkware.cairo.common.cairo_ecdsa.ecdsa.mod_curve_felt_to_uint384" + ], + "code": "num = ids.num\nmemory[ids.res_96_felts] = num % (2**96)\nmemory[ids.res_96_felts+1] = (num>>96) % (2**96)\nmemory[ids.res_96_felts+2] = (num>>(2*96)) % (2**96)", + "flow_tracking_data": { + "ap_tracking": { + "group": 117, + "offset": 4 + }, + "reference_ids": { + "starkware.cairo.common.cairo_ecdsa.ecdsa.mod_curve_felt_to_uint384.num": 709, + "starkware.cairo.common.cairo_ecdsa.ecdsa.mod_curve_felt_to_uint384.range_check96_ptr": 710, + "starkware.cairo.common.cairo_ecdsa.ecdsa.mod_curve_felt_to_uint384.res_96_felts": 712 + } + } + } + ], + "2565": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_keccak.keccak", + "starkware.cairo.common.cairo_keccak.keccak.finalize_keccak" + ], + "code": "# Add dummy pairs of input and output.\n_keccak_state_size_felts = int(ids.KECCAK_STATE_SIZE_FELTS)\n_block_size = int(ids.BLOCK_SIZE)\nassert 0 <= _keccak_state_size_felts < 100\nassert 0 <= _block_size < 10\ninp = [0] * _keccak_state_size_felts\npadding = (inp + keccak_func(inp)) * _block_size\nsegments.write_arg(ids.keccak_ptr_end, padding)", + "flow_tracking_data": { + "ap_tracking": { + "group": 120, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.common.cairo_keccak.keccak.finalize_keccak.__temp637": 1268, + "starkware.cairo.common.cairo_keccak.keccak.finalize_keccak.bitwise_ptr": 1267, + "starkware.cairo.common.cairo_keccak.keccak.finalize_keccak.keccak_ptr_end": 1265, + "starkware.cairo.common.cairo_keccak.keccak.finalize_keccak.keccak_ptr_start": 1264, + "starkware.cairo.common.cairo_keccak.keccak.finalize_keccak.n": 1269, + "starkware.cairo.common.cairo_keccak.keccak.finalize_keccak.range_check_ptr": 1266 + } + } + } + ], + "2677": [ + { + "accessible_scopes": [ + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak", + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts" + ], + "code": "full_num = ids.keccak_builtin_state.s0\nfull_num += (2**200) * ids.keccak_builtin_state.s1\nfull_num += (2**400) * ids.keccak_builtin_state.s2\nfull_num += (2**600) * ids.keccak_builtin_state.s3\nfull_num += (2**800) * ids.keccak_builtin_state.s4\nfull_num += (2**1000) * ids.keccak_builtin_state.s5\nfull_num += (2**1200) * ids.keccak_builtin_state.s6\nfull_num += (2**1400) * ids.keccak_builtin_state.s7\nfor i in range(25):\n memory[ids.felt_array + i] = full_num % (2**64)\n full_num = full_num >> 64", + "flow_tracking_data": { + "ap_tracking": { + "group": 124, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.felt_array": 1330, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.keccak_builtin_state": 1329, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.range_check_ptr": 1331 + } + } + } + ], + "2695": [ + { + "accessible_scopes": [ + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak", + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts" + ], + "code": "ids.high3, ids.low3 = divmod(memory[ids.felt_array + 3], 256)", + "flow_tracking_data": { + "ap_tracking": { + "group": 124, + "offset": 9 + }, + "reference_ids": { + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp656": 1332, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp657": 1333, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp658": 1334, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp659": 1335, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp660": 1336, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp661": 1337, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp662": 1338, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp663": 1339, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp664": 1340, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.felt_array": 1330, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.high3": 1342, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.keccak_builtin_state": 1329, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.low3": 1341, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.range_check_ptr": 1331 + } + } + } + ], + "2734": [ + { + "accessible_scopes": [ + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak", + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts" + ], + "code": "ids.high6, ids.low6 = divmod(memory[ids.felt_array + 6], 256 ** 2)", + "flow_tracking_data": { + "ap_tracking": { + "group": 124, + "offset": 32 + }, + "reference_ids": { + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp656": 1332, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp657": 1333, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp658": 1334, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp659": 1335, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp660": 1336, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp661": 1337, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp662": 1338, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp663": 1339, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp664": 1340, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp665": 1343, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp666": 1344, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp667": 1345, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp668": 1346, + 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"starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp764": 1450, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp765": 1451, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp766": 1452, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp767": 1453, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp768": 1454, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp769": 1455, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp770": 1456, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp771": 1457, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp772": 1458, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp773": 1459, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp774": 1460, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp775": 1461, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp776": 1462, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp777": 1463, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp778": 1464, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp779": 1465, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp780": 1468, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp781": 1469, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp782": 1470, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp783": 1471, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp784": 1472, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp785": 1473, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp786": 1474, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp787": 1475, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp788": 1476, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp789": 1477, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp790": 1478, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp791": 1479, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp792": 1480, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp793": 1481, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp794": 1482, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp795": 1483, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp796": 1484, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp797": 1485, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp798": 1486, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp799": 1487, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp800": 1488, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp801": 1489, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.__temp802": 1490, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.felt_array": 1330, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.high12": 1417, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.high15": 1442, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.high18": 1467, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.high21": 1492, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.high3": 1342, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.high6": 1367, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.high9": 1392, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.keccak_builtin_state": 1329, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.low12": 1416, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.low15": 1441, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.low18": 1466, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.low21": 1491, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.low3": 1341, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.low6": 1366, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.low9": 1391, + "starkware.cairo.common.simulate_builtin_keccak_with_cairo.simulate_keccak.keccak_builtin_state_to_felts.range_check_ptr": 1331 + } + } + } + ], + "3017": [ + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins", + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.handle_uninitialized_ec_op_builtin" + ], + "code": "from starkware.cairo.lang.builtins.ec.ec_op_builtin_runner import (\n ec_op_auto_deduction_rule_wrapper,\n)\nids.new_ec_op_ptr = segments.add()\nvm_add_auto_deduction_rule(\n segment_index=ids.new_ec_op_ptr.segment_index,\n rule=ec_op_auto_deduction_rule_wrapper(ec_op_cache={}),\n)", + "flow_tracking_data": { + "ap_tracking": { + "group": 128, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.handle_uninitialized_ec_op_builtin.ec_op_ptr": 1532, + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.handle_uninitialized_ec_op_builtin.new_ec_op_ptr": 1533 + } + } + } + ], + "3077": [ + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins", + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.handle_uninitialized_keccak_builtin" + ], + "code": "from starkware.cairo.common.keccak_utils.keccak_utils import keccak_func\nfrom starkware.cairo.lang.builtins.keccak.keccak_builtin_runner import (\n keccak_auto_deduction_rule_wrapper,\n)\nids.new_keccak_ptr = segments.add()\nvm_add_auto_deduction_rule(\n segment_index=ids.new_keccak_ptr.segment_index,\n rule=keccak_auto_deduction_rule_wrapper(keccak_cache={}),\n)", + "flow_tracking_data": { + "ap_tracking": { + "group": 133, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.handle_uninitialized_keccak_builtin.keccak_ptr": 1547, + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.handle_uninitialized_keccak_builtin.new_keccak_ptr": 1548 + } + } + } + ], + "3116": [ + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins", + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.verify_ecdsa_builtin" + ], + "code": "(ids.r, ids.s) = vm_ecdsa_additional_data[ids.start.address_]", + "flow_tracking_data": { + "ap_tracking": { + "group": 137, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.verify_ecdsa_builtin.__temp840": 1566, + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.verify_ecdsa_builtin.end": 1563, + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.verify_ecdsa_builtin.mul_mod_ptr": 1565, + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.verify_ecdsa_builtin.r": 1567, + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.verify_ecdsa_builtin.range_check96_ptr": 1564, + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.verify_ecdsa_builtin.s": 1568, + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.verify_ecdsa_builtin.start": 1562 + } + } + } + ], + "3142": [ + { + "accessible_scopes": [ + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins", + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.handle_uninitialized_ecdsa_builtin" + ], + "code": "from starkware.cairo.lang.builtins.signature.signature_builtin_runner import (\n signature_rule_wrapper,\n)\nfrom starkware.cairo.lang.vm.cairo_runner import verify_ecdsa_sig\nids.new_ecdsa_ptr = segments.add()\nvm_add_validation_rule(\n segment_index=ids.new_ecdsa_ptr.segment_index,\n rule=signature_rule_wrapper(\n verify_signature_func=verify_ecdsa_sig,\n # Store signatures inside the vm's state. vm_ecdsa_additional_data is dropped\n # into the execution scope by the vm.\n signature_cache=vm_ecdsa_additional_data,\n ),\n)", + "flow_tracking_data": { + "ap_tracking": { + "group": 140, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.handle_uninitialized_ecdsa_builtin.ecdsa_ptr": 1574, + "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.handle_uninitialized_ecdsa_builtin.new_ecdsa_ptr": 1575 + } + } + } + ], + "3163": [ + { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "code": "from starkware.cairo.bootloaders.simple_bootloader.objects import SimpleBootloaderInput\nsimple_bootloader_input = SimpleBootloaderInput.Schema().load(program_input)", + "flow_tracking_data": { + "ap_tracking": { + "group": 143, + "offset": 24 + }, + "reference_ids": { + "__main__.main.add_mod_ptr": 1594, + "__main__.main.bitwise_ptr": 1589, + "__main__.main.ec_op_ptr": 1590, + "__main__.main.ecdsa_ptr": 1588, + "__main__.main.keccak_ptr": 1591, + "__main__.main.mul_mod_ptr": 1595, + "__main__.main.output_ptr": 1585, + "__main__.main.pedersen_ptr": 1586, + "__main__.main.poseidon_ptr": 1592, + "__main__.main.range_check96_ptr": 1593, + "__main__.main.range_check_ptr": 1587 + } + } + } + ], + "3228": [ + { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "code": "# Dump fact topologies to a json file.\nfrom starkware.cairo.bootloaders.simple_bootloader.utils import (\n configure_fact_topologies,\n write_to_fact_topologies_file,\n)\n\n# The task-related output is prefixed by a single word that contains the number of tasks.\ntasks_output_start = output_builtin.base + 1\n\nif not simple_bootloader_input.single_page:\n # Configure the memory pages in the output builtin, based on fact_topologies.\n configure_fact_topologies(\n fact_topologies=fact_topologies, output_start=tasks_output_start,\n output_builtin=output_builtin,\n )\n\nif simple_bootloader_input.fact_topologies_path is not None:\n write_to_fact_topologies_file(\n fact_topologies_path=simple_bootloader_input.fact_topologies_path,\n fact_topologies=fact_topologies,\n )", + "flow_tracking_data": { + "ap_tracking": { + "group": 150, + "offset": 0 + }, + "reference_ids": { + "__main__.main.add_mod_ptr": 1628, + "__main__.main.bitwise_ptr": 1636, + "__main__.main.ec_op_ptr": 1630, + "__main__.main.ec_op_ptr_orig": 1596, + "__main__.main.ec_op_start_ptr": 1599, + "__main__.main.ecdsa_ptr": 1640, + "__main__.main.ecdsa_ptr_orig": 1604, + "__main__.main.ecdsa_start_ptr": 1607, + "__main__.main.keccak_ptr": 1634, + "__main__.main.keccak_ptr_orig": 1600, + "__main__.main.keccak_start_ptr": 1603, + "__main__.main.mul_mod_ptr": 1637, + "__main__.main.output_ptr": 1625, + "__main__.main.pedersen_ptr": 1626, + "__main__.main.poseidon_ptr": 1627, + "__main__.main.range_check96_ptr": 1638, + "__main__.main.range_check_ptr": 1635 + } + } + } + ] + }, + "identifiers": { + "__main__.HashBuiltin": { + "destination": "starkware.cairo.common.cairo_builtins.HashBuiltin", + "type": "alias" + }, + "__main__.PoseidonBuiltin": { + "destination": "starkware.cairo.common.cairo_builtins.PoseidonBuiltin", + "type": "alias" + }, + "__main__.__end__": { + "pc": 4, + "type": "label" + }, + "__main__.__start__": { + "pc": 0, + "type": "label" + }, + "__main__.get_fp_and_pc": { + "destination": "starkware.cairo.common.registers.get_fp_and_pc", + "type": "alias" + }, + "__main__.handle_ec_op_builtin_verification": { + "destination": "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.handle_ec_op_builtin_verification", + "type": "alias" + }, + "__main__.handle_ecdsa_builtin_verification": { + "destination": "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.handle_ecdsa_builtin_verification", + "type": "alias" + }, + "__main__.handle_keccak_builtin_verification": { + "destination": "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.handle_keccak_builtin_verification", + "type": "alias" + }, + "__main__.handle_uninitialized_ec_op_builtin": { + "destination": "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.handle_uninitialized_ec_op_builtin", + "type": "alias" + }, + "__main__.handle_uninitialized_ecdsa_builtin": { + "destination": "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.handle_uninitialized_ecdsa_builtin", + "type": "alias" + }, + "__main__.handle_uninitialized_keccak_builtin": { + "destination": "starkware.cairo.bootloaders.simple_bootloader.verify_builtins.handle_uninitialized_keccak_builtin", + "type": "alias" + }, + "__main__.main": { + "decorators": [], + "pc": 3161, + "type": "function" + }, + "__main__.main.Args": { + "full_name": "__main__.main.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.main.ImplicitArgs": { + "full_name": "__main__.main.ImplicitArgs", + "members": { + "add_mod_ptr": { + "cairo_type": "felt", + "offset": 9 + }, + "bitwise_ptr": { + "cairo_type": "felt", + "offset": 4 + }, + "ec_op_ptr": { + "cairo_type": "felt", + "offset": 5 + }, + "ecdsa_ptr": { + "cairo_type": "felt", + "offset": 3 + }, + "keccak_ptr": { + "cairo_type": "felt", + "offset": 6 + }, + "mul_mod_ptr": { + "cairo_type": "felt", + "offset": 10 + }, + "output_ptr": { + 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