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    "21": {
      "source": "pub mod hash;\npub mod aes128;\npub mod array;\npub mod vector;\npub mod ecdsa_secp256k1;\npub mod ecdsa_secp256r1;\npub mod embedded_curve_ops;\npub mod field;\npub mod collections;\npub mod compat;\npub mod convert;\npub mod option;\npub mod string;\npub mod test;\npub mod cmp;\npub mod ops;\npub mod default;\npub mod prelude;\npub mod runtime;\npub mod meta;\npub mod append;\npub mod mem;\npub mod panic;\npub mod hint;\n\nmod primitive_docs;\nmod internal;\n\n// Oracle calls are required to be wrapped in an unconstrained function\n// Thus, the only argument to the `println` oracle is expected to always be an ident\n#[oracle(print)]\nunconstrained fn print_oracle<T>(with_newline: bool, input: T) {}\n\nunconstrained fn print_unconstrained<T>(with_newline: bool, input: T) {\n    print_oracle(with_newline, input);\n}\n\n/// Print the given input to stdout followed by a newline\npub fn println<T>(input: T) {\n    // Safety: a print statement cannot be constrained\n    unsafe {\n        print_unconstrained(true, input);\n    }\n}\n\n/// Print the given input to stdout\npub fn print<T>(input: T) {\n    // Safety: a print statement cannot be constrained\n    unsafe {\n        print_unconstrained(false, input);\n    }\n}\n\n/// Asserts the validity of the provided proof and public inputs against the provided verification key and hash.\n///\n/// The ACVM cannot determine whether the provided proof is valid during execution as this requires knowledge of\n/// the backend against which the program is being proven. However if an invalid proof if submitted, the program may\n/// fail to prove or the backend may generate a proof which will subsequently fail to verify.\n///\n/// # Important Note\n///\n/// If you are not developing your own backend such as [Barretenberg](https://github.com/AztecProtocol/barretenberg)\n/// you probably shouldn't need to interact with this function directly. It's easier and safer to use a verification\n/// library which is published by the developers of the backend which will document or enforce any safety requirements.\n///\n/// If you use this directly, you're liable to introduce underconstrainedness bugs and *your circuit will be insecure*.\n///\n/// # Arguments\n/// - verification_key: The verification key of the circuit to be verified.\n/// - proof: The proof to be verified.\n/// - public_inputs: The public inputs associated with `proof`\n/// - key_hash: The hash of `verification_key` of the form expected by the backend.\n/// - proof_type: An identifier for the proving scheme used to generate the proof to be verified. This allows\n///               for a single backend to support verifying multiple proving schemes.\n///\n/// # Constraining `key_hash`\n///\n/// The Noir compiler does not by itself constrain that `key_hash` is a valid hash of `verification_key`.\n/// This is because different backends may differ in how they hash their verification keys.\n/// It is then the responsibility of either the noir developer (by explicitly hashing the verification key\n/// in the correct manner) or by the proving system itself internally asserting the correctness of `key_hash`.\npub fn verify_proof_with_type<let N: u32, let M: u32, let K: u32>(\n    verification_key: [Field; N],\n    proof: [Field; M],\n    public_inputs: [Field; K],\n    key_hash: Field,\n    proof_type: u32,\n) {\n    if !crate::runtime::is_unconstrained() {\n        crate::assert_constant(proof_type);\n    }\n    verify_proof_internal(verification_key, proof, public_inputs, key_hash, proof_type);\n}\n\n#[foreign(recursive_aggregation)]\nfn verify_proof_internal<let N: u32, let M: u32, let K: u32>(\n    verification_key: [Field; N],\n    proof: [Field; M],\n    public_inputs: [Field; K],\n    key_hash: Field,\n    proof_type: u32,\n) {}\n\n/// Asserts that the given value is known at compile-time.\n/// Useful for debugging for-loop bounds.\n#[builtin(assert_constant)]\npub fn assert_constant<T>(x: T) {}\n\n/// Asserts that the given value is both true and known at compile-time.\n/// The message can be a string, a format string, or any value, as long as it is known at compile-time\n#[builtin(static_assert)]\npub fn static_assert<T>(predicate: bool, message: T) {}\n\n/// Force a field value to be a witness instead of a constant in the compiled output.\n/// This is often only useful for debugging compiler optimizations.\n///\n/// This has no effect in unconstrained or comptime code.\n#[builtin(as_witness)]\npub fn as_witness(x: Field) {}\n",
      "path": "std/lib.nr",
      "function_locations": [
        {
          "start": 676,
          "name": "print_oracle"
        },
        {
          "start": 750,
          "name": "print_unconstrained"
        },
        {
          "start": 880,
          "name": "println"
        },
        {
          "start": 1063,
          "name": "print"
        },
        {
          "start": 3264,
          "name": "verify_proof_with_type"
        },
        {
          "start": 3681,
          "name": "verify_proof_internal"
        },
        {
          "start": 3846,
          "name": "assert_constant"
        },
        {
          "start": 4105,
          "name": "static_assert"
        },
        {
          "start": 4376,
          "name": "as_witness"
        }
      ]
    },
    "51": {
      "source": "use mock_types::{\n    KernelPublicInputs, MAX_COMMITMENT_READ_REQUESTS_PER_TX, MEGA_VK_LENGTH_IN_FIELDS,\n    PrivateKernelPublicInputs, PROOF_TYPE_HN_TAIL, VerificationKey,\n};\n\n// The tail kernel finishes the chonk chain exposing the final public inputs with no remaining calls or unfulfilled read requests.\nfn main(\n    prev_kernel_public_inputs: call_data(0) PrivateKernelPublicInputs,\n    kernel_vk: VerificationKey<MEGA_VK_LENGTH_IN_FIELDS>,\n) -> return_data KernelPublicInputs {\n    std::verify_proof_with_type(kernel_vk.key, [], [], kernel_vk.hash, PROOF_TYPE_HN_TAIL);\n\n    assert_eq(prev_kernel_public_inputs.remaining_calls, 0);\n    for i in 0..MAX_COMMITMENT_READ_REQUESTS_PER_TX {\n        assert_eq(prev_kernel_public_inputs.read_requests[i], 0);\n    }\n\n    KernelPublicInputs { commitments: prev_kernel_public_inputs.commitments }\n}\n",
      "path": "/home/aztec-dev/aztec-packages-private/noir-projects/mock-protocol-circuits/crates/mock-private-kernel-tail/src/main.nr",
      "function_locations": [
        {
          "start": 482,
          "name": "main"
        }
      ]
    }
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