Description:
Proxy contract enabling upgradeable smart contract patterns. Delegates calls to an implementation contract.
Blockchain: Ethereum
Source Code: View Code On The Blockchain
Solidity Source Code:
{{
"language": "Solidity",
"sources": {
"starkware/solidity/verifier/cpu/CairoVerifierContract.sol": {
"content": "/*
Copyright 2019-2025 StarkWare Industries Ltd.
Licensed under the Apache License, Version 2.0 (the "License").
You may not use this file except in compliance with the License.
You may obtain a copy of the License at
https://www.starkware.co/open-source-license/
Unless required by applicable law or agreed to in writing,
software distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions
and limitations under the License.
*/
// SPDX-License-Identifier: Apache-2.0.
pragma solidity ^0.6.12;
abstract contract CairoVerifierContract {
function verifyProofExternal(
uint256[] calldata proofParams,
uint256[] calldata proof,
uint256[] calldata publicInput
) external virtual;
/*
Returns information that is related to the layout.
publicMemoryOffset is the offset of the public memory pages' information in the public input.
selectedBuiltins is a bit-map of builtins that are present in the layout.
*/
function getLayoutInfo()
external
pure
virtual
returns (uint256 publicMemoryOffset, uint256 selectedBuiltins);
uint256 internal constant OUTPUT_BUILTIN_BIT = 0;
uint256 internal constant PEDERSEN_BUILTIN_BIT = 1;
uint256 internal constant RANGE_CHECK_BUILTIN_BIT = 2;
uint256 internal constant ECDSA_BUILTIN_BIT = 3;
uint256 internal constant BITWISE_BUILTIN_BIT = 4;
uint256 internal constant EC_OP_BUILTIN_BIT = 5;
uint256 internal constant KECCAK_BUILTIN_BIT = 6;
uint256 internal constant POSEIDON_BUILTIN_BIT = 7;
}
"
},
"starkware/solidity/verifier/cpu/layout3/CpuConstraintPoly.sol": {
"content": "/*
Copyright 2019-2025 StarkWare Industries Ltd.
Licensed under the Apache License, Version 2.0 (the "License").
You may not use this file except in compliance with the License.
You may obtain a copy of the License at
https://www.starkware.co/open-source-license/
Unless required by applicable law or agreed to in writing,
software distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions
and limitations under the License.
*/
// ---------- The following code was auto-generated. PLEASE DO NOT EDIT. ----------
// SPDX-License-Identifier: Apache-2.0.
pragma solidity ^0.6.12;
contract CpuConstraintPoly {
// The Memory map during the execution of this contract is as follows:
// [0x0, 0x20) - periodic_column/pedersen/points/x.
// [0x20, 0x40) - periodic_column/pedersen/points/y.
// [0x40, 0x60) - periodic_column/ecdsa/generator_points/x.
// [0x60, 0x80) - periodic_column/ecdsa/generator_points/y.
// [0x80, 0xa0) - trace_length.
// [0xa0, 0xc0) - offset_size.
// [0xc0, 0xe0) - half_offset_size.
// [0xe0, 0x100) - initial_ap.
// [0x100, 0x120) - initial_pc.
// [0x120, 0x140) - final_ap.
// [0x140, 0x160) - final_pc.
// [0x160, 0x180) - memory/multi_column_perm/perm/interaction_elm.
// [0x180, 0x1a0) - memory/multi_column_perm/hash_interaction_elm0.
// [0x1a0, 0x1c0) - memory/multi_column_perm/perm/public_memory_prod.
// [0x1c0, 0x1e0) - range_check16/perm/interaction_elm.
// [0x1e0, 0x200) - range_check16/perm/public_memory_prod.
// [0x200, 0x220) - range_check_min.
// [0x220, 0x240) - range_check_max.
// [0x240, 0x260) - diluted_check/permutation/interaction_elm.
// [0x260, 0x280) - diluted_check/permutation/public_memory_prod.
// [0x280, 0x2a0) - diluted_check/first_elm.
// [0x2a0, 0x2c0) - diluted_check/interaction_z.
// [0x2c0, 0x2e0) - diluted_check/interaction_alpha.
// [0x2e0, 0x300) - diluted_check/final_cum_val.
// [0x300, 0x320) - pedersen/shift_point.x.
// [0x320, 0x340) - pedersen/shift_point.y.
// [0x340, 0x360) - initial_pedersen_addr.
// [0x360, 0x380) - initial_range_check_addr.
// [0x380, 0x3a0) - ecdsa/sig_config.alpha.
// [0x3a0, 0x3c0) - ecdsa/sig_config.shift_point.x.
// [0x3c0, 0x3e0) - ecdsa/sig_config.shift_point.y.
// [0x3e0, 0x400) - ecdsa/sig_config.beta.
// [0x400, 0x420) - initial_ecdsa_addr.
// [0x420, 0x440) - initial_bitwise_addr.
// [0x440, 0x460) - initial_ec_op_addr.
// [0x460, 0x480) - ec_op/curve_config.alpha.
// [0x480, 0x4a0) - trace_generator.
// [0x4a0, 0x4c0) - oods_point.
// [0x4c0, 0x580) - interaction_elements.
// [0x580, 0x5a0) - composition_alpha.
// [0x5a0, 0x2960) - oods_values.
// ----------------------- end of input data - -------------------------
// [0x2960, 0x2980) - intermediate_value/cpu/decode/opcode_range_check/bit_0.
// [0x2980, 0x29a0) - intermediate_value/cpu/decode/opcode_range_check/bit_2.
// [0x29a0, 0x29c0) - intermediate_value/cpu/decode/opcode_range_check/bit_4.
// [0x29c0, 0x29e0) - intermediate_value/cpu/decode/opcode_range_check/bit_3.
// [0x29e0, 0x2a00) - intermediate_value/cpu/decode/flag_op1_base_op0_0.
// [0x2a00, 0x2a20) - intermediate_value/cpu/decode/opcode_range_check/bit_5.
// [0x2a20, 0x2a40) - intermediate_value/cpu/decode/opcode_range_check/bit_6.
// [0x2a40, 0x2a60) - intermediate_value/cpu/decode/opcode_range_check/bit_9.
// [0x2a60, 0x2a80) - intermediate_value/cpu/decode/flag_res_op1_0.
// [0x2a80, 0x2aa0) - intermediate_value/cpu/decode/opcode_range_check/bit_7.
// [0x2aa0, 0x2ac0) - intermediate_value/cpu/decode/opcode_range_check/bit_8.
// [0x2ac0, 0x2ae0) - intermediate_value/cpu/decode/flag_pc_update_regular_0.
// [0x2ae0, 0x2b00) - intermediate_value/cpu/decode/opcode_range_check/bit_12.
// [0x2b00, 0x2b20) - intermediate_value/cpu/decode/opcode_range_check/bit_13.
// [0x2b20, 0x2b40) - intermediate_value/cpu/decode/fp_update_regular_0.
// [0x2b40, 0x2b60) - intermediate_value/cpu/decode/opcode_range_check/bit_1.
// [0x2b60, 0x2b80) - intermediate_value/npc_reg_0.
// [0x2b80, 0x2ba0) - intermediate_value/cpu/decode/opcode_range_check/bit_10.
// [0x2ba0, 0x2bc0) - intermediate_value/cpu/decode/opcode_range_check/bit_11.
// [0x2bc0, 0x2be0) - intermediate_value/cpu/decode/opcode_range_check/bit_14.
// [0x2be0, 0x2c00) - intermediate_value/memory/address_diff_0.
// [0x2c00, 0x2c20) - intermediate_value/range_check16/diff_0.
// [0x2c20, 0x2c40) - intermediate_value/pedersen/hash0/ec_subset_sum/bit_0.
// [0x2c40, 0x2c60) - intermediate_value/pedersen/hash0/ec_subset_sum/bit_neg_0.
// [0x2c60, 0x2c80) - intermediate_value/pedersen/hash1/ec_subset_sum/bit_0.
// [0x2c80, 0x2ca0) - intermediate_value/pedersen/hash1/ec_subset_sum/bit_neg_0.
// [0x2ca0, 0x2cc0) - intermediate_value/pedersen/hash2/ec_subset_sum/bit_0.
// [0x2cc0, 0x2ce0) - intermediate_value/pedersen/hash2/ec_subset_sum/bit_neg_0.
// [0x2ce0, 0x2d00) - intermediate_value/pedersen/hash3/ec_subset_sum/bit_0.
// [0x2d00, 0x2d20) - intermediate_value/pedersen/hash3/ec_subset_sum/bit_neg_0.
// [0x2d20, 0x2d40) - intermediate_value/range_check_builtin/value0_0.
// [0x2d40, 0x2d60) - intermediate_value/range_check_builtin/value1_0.
// [0x2d60, 0x2d80) - intermediate_value/range_check_builtin/value2_0.
// [0x2d80, 0x2da0) - intermediate_value/range_check_builtin/value3_0.
// [0x2da0, 0x2dc0) - intermediate_value/range_check_builtin/value4_0.
// [0x2dc0, 0x2de0) - intermediate_value/range_check_builtin/value5_0.
// [0x2de0, 0x2e00) - intermediate_value/range_check_builtin/value6_0.
// [0x2e00, 0x2e20) - intermediate_value/range_check_builtin/value7_0.
// [0x2e20, 0x2e40) - intermediate_value/ecdsa/signature0/doubling_key/x_squared.
// [0x2e40, 0x2e60) - intermediate_value/ecdsa/signature0/exponentiate_generator/bit_0.
// [0x2e60, 0x2e80) - intermediate_value/ecdsa/signature0/exponentiate_generator/bit_neg_0.
// [0x2e80, 0x2ea0) - intermediate_value/ecdsa/signature0/exponentiate_key/bit_0.
// [0x2ea0, 0x2ec0) - intermediate_value/ecdsa/signature0/exponentiate_key/bit_neg_0.
// [0x2ec0, 0x2ee0) - intermediate_value/bitwise/sum_var_0_0.
// [0x2ee0, 0x2f00) - intermediate_value/bitwise/sum_var_8_0.
// [0x2f00, 0x2f20) - intermediate_value/ec_op/doubling_q/x_squared_0.
// [0x2f20, 0x2f40) - intermediate_value/ec_op/ec_subset_sum/bit_0.
// [0x2f40, 0x2f60) - intermediate_value/ec_op/ec_subset_sum/bit_neg_0.
// [0x2f60, 0x3400) - expmods.
// [0x3400, 0x3780) - domains.
// [0x3780, 0x3a60) - denominator_invs.
// [0x3a60, 0x3d40) - denominators.
// [0x3d40, 0x3e00) - expmod_context.
fallback() external {
uint256 res;
assembly {
let PRIME := 0x800000000000011000000000000000000000000000000000000000000000001
// Copy input from calldata to memory.
calldatacopy(0x0, 0x0, /*Input data size*/ 0x2960)
let point := /*oods_point*/ mload(0x4a0)
function expmod(base, exponent, modulus) -> result {
let p := /*expmod_context*/ 0x3d40
mstore(p, 0x20) // Length of Base.
mstore(add(p, 0x20), 0x20) // Length of Exponent.
mstore(add(p, 0x40), 0x20) // Length of Modulus.
mstore(add(p, 0x60), base) // Base.
mstore(add(p, 0x80), exponent) // Exponent.
mstore(add(p, 0xa0), modulus) // Modulus.
// Call modexp precompile.
if iszero(staticcall(not(0), 0x05, p, 0xc0, p, 0x20)) {
revert(0, 0)
}
result := mload(p)
}
{
// Prepare expmods for denominators and numerators.
// expmods[0] = point^(trace_length / 8192).
mstore(0x2f60, expmod(point, div(/*trace_length*/ mload(0x80), 8192), PRIME))
// expmods[1] = point^(trace_length / 4096).
mstore(0x2f80, mulmod(
/*point^(trace_length / 8192)*/ mload(0x2f60),
/*point^(trace_length / 8192)*/ mload(0x2f60),
PRIME))
// expmods[2] = point^(trace_length / 1024).
mstore(0x2fa0, expmod(point, div(/*trace_length*/ mload(0x80), 1024), PRIME))
// expmods[3] = point^(trace_length / 512).
mstore(0x2fc0, mulmod(
/*point^(trace_length / 1024)*/ mload(0x2fa0),
/*point^(trace_length / 1024)*/ mload(0x2fa0),
PRIME))
// expmods[4] = point^(trace_length / 256).
mstore(0x2fe0, mulmod(
/*point^(trace_length / 512)*/ mload(0x2fc0),
/*point^(trace_length / 512)*/ mload(0x2fc0),
PRIME))
// expmods[5] = point^(trace_length / 128).
mstore(0x3000, mulmod(
/*point^(trace_length / 256)*/ mload(0x2fe0),
/*point^(trace_length / 256)*/ mload(0x2fe0),
PRIME))
// expmods[6] = point^(trace_length / 32).
mstore(0x3020, expmod(point, div(/*trace_length*/ mload(0x80), 32), PRIME))
// expmods[7] = point^(trace_length / 16).
mstore(0x3040, mulmod(
/*point^(trace_length / 32)*/ mload(0x3020),
/*point^(trace_length / 32)*/ mload(0x3020),
PRIME))
// expmods[8] = point^(trace_length / 2).
mstore(0x3060, expmod(point, div(/*trace_length*/ mload(0x80), 2), PRIME))
// expmods[9] = point^trace_length.
mstore(0x3080, mulmod(
/*point^(trace_length / 2)*/ mload(0x3060),
/*point^(trace_length / 2)*/ mload(0x3060),
PRIME))
// expmods[10] = trace_generator^(trace_length / 64).
mstore(0x30a0, expmod(/*trace_generator*/ mload(0x480), div(/*trace_length*/ mload(0x80), 64), PRIME))
// expmods[11] = trace_generator^(trace_length / 32).
mstore(0x30c0, mulmod(
/*trace_generator^(trace_length / 64)*/ mload(0x30a0),
/*trace_generator^(trace_length / 64)*/ mload(0x30a0),
PRIME))
// expmods[12] = trace_generator^(3 * trace_length / 64).
mstore(0x30e0, mulmod(
/*trace_generator^(trace_length / 64)*/ mload(0x30a0),
/*trace_generator^(trace_length / 32)*/ mload(0x30c0),
PRIME))
// expmods[13] = trace_generator^(trace_length / 16).
mstore(0x3100, mulmod(
/*trace_generator^(trace_length / 64)*/ mload(0x30a0),
/*trace_generator^(3 * trace_length / 64)*/ mload(0x30e0),
PRIME))
// expmods[14] = trace_generator^(5 * trace_length / 64).
mstore(0x3120, mulmod(
/*trace_generator^(trace_length / 64)*/ mload(0x30a0),
/*trace_generator^(trace_length / 16)*/ mload(0x3100),
PRIME))
// expmods[15] = trace_generator^(3 * trace_length / 32).
mstore(0x3140, mulmod(
/*trace_generator^(trace_length / 64)*/ mload(0x30a0),
/*trace_generator^(5 * trace_length / 64)*/ mload(0x3120),
PRIME))
// expmods[16] = trace_generator^(7 * trace_length / 64).
mstore(0x3160, mulmod(
/*trace_generator^(trace_length / 64)*/ mload(0x30a0),
/*trace_generator^(3 * trace_length / 32)*/ mload(0x3140),
PRIME))
// expmods[17] = trace_generator^(trace_length / 8).
mstore(0x3180, mulmod(
/*trace_generator^(trace_length / 64)*/ mload(0x30a0),
/*trace_generator^(7 * trace_length / 64)*/ mload(0x3160),
PRIME))
// expmods[18] = trace_generator^(9 * trace_length / 64).
mstore(0x31a0, mulmod(
/*trace_generator^(trace_length / 64)*/ mload(0x30a0),
/*trace_generator^(trace_length / 8)*/ mload(0x3180),
PRIME))
// expmods[19] = trace_generator^(5 * trace_length / 32).
mstore(0x31c0, mulmod(
/*trace_generator^(trace_length / 64)*/ mload(0x30a0),
/*trace_generator^(9 * trace_length / 64)*/ mload(0x31a0),
PRIME))
// expmods[20] = trace_generator^(11 * trace_length / 64).
mstore(0x31e0, mulmod(
/*trace_generator^(trace_length / 64)*/ mload(0x30a0),
/*trace_generator^(5 * trace_length / 32)*/ mload(0x31c0),
PRIME))
// expmods[21] = trace_generator^(3 * trace_length / 16).
mstore(0x3200, mulmod(
/*trace_generator^(trace_length / 64)*/ mload(0x30a0),
/*trace_generator^(11 * trace_length / 64)*/ mload(0x31e0),
PRIME))
// expmods[22] = trace_generator^(13 * trace_length / 64).
mstore(0x3220, mulmod(
/*trace_generator^(trace_length / 64)*/ mload(0x30a0),
/*trace_generator^(3 * trace_length / 16)*/ mload(0x3200),
PRIME))
// expmods[23] = trace_generator^(7 * trace_length / 32).
mstore(0x3240, mulmod(
/*trace_generator^(trace_length / 64)*/ mload(0x30a0),
/*trace_generator^(13 * trace_length / 64)*/ mload(0x3220),
PRIME))
// expmods[24] = trace_generator^(15 * trace_length / 64).
mstore(0x3260, mulmod(
/*trace_generator^(trace_length / 64)*/ mload(0x30a0),
/*trace_generator^(7 * trace_length / 32)*/ mload(0x3240),
PRIME))
// expmods[25] = trace_generator^(trace_length / 2).
mstore(0x3280, expmod(/*trace_generator*/ mload(0x480), div(/*trace_length*/ mload(0x80), 2), PRIME))
// expmods[26] = trace_generator^(3 * trace_length / 4).
mstore(0x32a0, expmod(/*trace_generator*/ mload(0x480), div(mul(3, /*trace_length*/ mload(0x80)), 4), PRIME))
// expmods[27] = trace_generator^(15 * trace_length / 16).
mstore(0x32c0, mulmod(
/*trace_generator^(3 * trace_length / 16)*/ mload(0x3200),
/*trace_generator^(3 * trace_length / 4)*/ mload(0x32a0),
PRIME))
// expmods[28] = trace_generator^(251 * trace_length / 256).
mstore(0x32e0, expmod(/*trace_generator*/ mload(0x480), div(mul(251, /*trace_length*/ mload(0x80)), 256), PRIME))
// expmods[29] = trace_generator^(63 * trace_length / 64).
mstore(0x3300, mulmod(
/*trace_generator^(3 * trace_length / 64)*/ mload(0x30e0),
/*trace_generator^(15 * trace_length / 16)*/ mload(0x32c0),
PRIME))
// expmods[30] = trace_generator^(255 * trace_length / 256).
mstore(0x3320, mulmod(
/*trace_generator^(trace_length / 64)*/ mload(0x30a0),
/*trace_generator^(251 * trace_length / 256)*/ mload(0x32e0),
PRIME))
// expmods[31] = trace_generator^(trace_length - 16).
mstore(0x3340, expmod(/*trace_generator*/ mload(0x480), sub(/*trace_length*/ mload(0x80), 16), PRIME))
// expmods[32] = trace_generator^(trace_length - 2).
mstore(0x3360, expmod(/*trace_generator*/ mload(0x480), sub(/*trace_length*/ mload(0x80), 2), PRIME))
// expmods[33] = trace_generator^(trace_length - 1).
mstore(0x3380, expmod(/*trace_generator*/ mload(0x480), sub(/*trace_length*/ mload(0x80), 1), PRIME))
// expmods[34] = trace_generator^(trace_length - 128).
mstore(0x33a0, expmod(/*trace_generator*/ mload(0x480), sub(/*trace_length*/ mload(0x80), 128), PRIME))
// expmods[35] = trace_generator^(trace_length - 8192).
mstore(0x33c0, expmod(/*trace_generator*/ mload(0x480), sub(/*trace_length*/ mload(0x80), 8192), PRIME))
// expmods[36] = trace_generator^(trace_length - 4096).
mstore(0x33e0, expmod(/*trace_generator*/ mload(0x480), sub(/*trace_length*/ mload(0x80), 4096), PRIME))
}
{
// Compute domains.
// Denominator for constraints: 'cpu/decode/opcode_range_check/bit', 'diluted_check/permutation/step0', 'diluted_check/step', 'pedersen/hash0/ec_subset_sum/booleanity_test', 'pedersen/hash0/ec_subset_sum/add_points/slope', 'pedersen/hash0/ec_subset_sum/add_points/x', 'pedersen/hash0/ec_subset_sum/add_points/y', 'pedersen/hash0/ec_subset_sum/copy_point/x', 'pedersen/hash0/ec_subset_sum/copy_point/y', 'pedersen/hash1/ec_subset_sum/booleanity_test', 'pedersen/hash1/ec_subset_sum/add_points/slope', 'pedersen/hash1/ec_subset_sum/add_points/x', 'pedersen/hash1/ec_subset_sum/add_points/y', 'pedersen/hash1/ec_subset_sum/copy_point/x', 'pedersen/hash1/ec_subset_sum/copy_point/y', 'pedersen/hash2/ec_subset_sum/booleanity_test', 'pedersen/hash2/ec_subset_sum/add_points/slope', 'pedersen/hash2/ec_subset_sum/add_points/x', 'pedersen/hash2/ec_subset_sum/add_points/y', 'pedersen/hash2/ec_subset_sum/copy_point/x', 'pedersen/hash2/ec_subset_sum/copy_point/y', 'pedersen/hash3/ec_subset_sum/booleanity_test', 'pedersen/hash3/ec_subset_sum/add_points/slope', 'pedersen/hash3/ec_subset_sum/add_points/x', 'pedersen/hash3/ec_subset_sum/add_points/y', 'pedersen/hash3/ec_subset_sum/copy_point/x', 'pedersen/hash3/ec_subset_sum/copy_point/y'.
// domains[0] = point^trace_length - 1.
mstore(0x3400,
addmod(/*point^trace_length*/ mload(0x3080), sub(PRIME, 1), PRIME))
// Denominator for constraints: 'memory/multi_column_perm/perm/step0', 'memory/diff_is_bit', 'memory/is_func', 'range_check16/perm/step0', 'range_check16/diff_is_bit'.
// domains[1] = point^(trace_length / 2) - 1.
mstore(0x3420,
addmod(/*point^(trace_length / 2)*/ mload(0x3060), sub(PRIME, 1), PRIME))
// Denominator for constraints: 'cpu/decode/opcode_range_check/zero'.
// Numerator for constraints: 'cpu/decode/opcode_range_check/bit'.
// domains[2] = point^(trace_length / 16) - trace_generator^(15 * trace_length / 16).
mstore(0x3440,
addmod(
/*point^(trace_length / 16)*/ mload(0x3040),
sub(PRIME, /*trace_generator^(15 * trace_length / 16)*/ mload(0x32c0)),
PRIME))
// Denominator for constraints: 'cpu/decode/opcode_range_check_input', 'cpu/decode/flag_op1_base_op0_bit', 'cpu/decode/flag_res_op1_bit', 'cpu/decode/flag_pc_update_regular_bit', 'cpu/decode/fp_update_regular_bit', 'cpu/operands/mem_dst_addr', 'cpu/operands/mem0_addr', 'cpu/operands/mem1_addr', 'cpu/operands/ops_mul', 'cpu/operands/res', 'cpu/update_registers/update_pc/tmp0', 'cpu/update_registers/update_pc/tmp1', 'cpu/update_registers/update_pc/pc_cond_negative', 'cpu/update_registers/update_pc/pc_cond_positive', 'cpu/update_registers/update_ap/ap_update', 'cpu/update_registers/update_fp/fp_update', 'cpu/opcodes/call/push_fp', 'cpu/opcodes/call/push_pc', 'cpu/opcodes/call/off0', 'cpu/opcodes/call/off1', 'cpu/opcodes/call/flags', 'cpu/opcodes/ret/off0', 'cpu/opcodes/ret/off2', 'cpu/opcodes/ret/flags', 'cpu/opcodes/assert_eq/assert_eq', 'public_memory_addr_zero', 'public_memory_value_zero', 'ecdsa/signature0/doubling_key/slope', 'ecdsa/signature0/doubling_key/x', 'ecdsa/signature0/doubling_key/y', 'ecdsa/signature0/exponentiate_key/booleanity_test', 'ecdsa/signature0/exponentiate_key/add_points/slope', 'ecdsa/signature0/exponentiate_key/add_points/x', 'ecdsa/signature0/exponentiate_key/add_points/y', 'ecdsa/signature0/exponentiate_key/add_points/x_diff_inv', 'ecdsa/signature0/exponentiate_key/copy_point/x', 'ecdsa/signature0/exponentiate_key/copy_point/y', 'ec_op/doubling_q/slope', 'ec_op/doubling_q/x', 'ec_op/doubling_q/y', 'ec_op/ec_subset_sum/booleanity_test', 'ec_op/ec_subset_sum/add_points/slope', 'ec_op/ec_subset_sum/add_points/x', 'ec_op/ec_subset_sum/add_points/y', 'ec_op/ec_subset_sum/add_points/x_diff_inv', 'ec_op/ec_subset_sum/copy_point/x', 'ec_op/ec_subset_sum/copy_point/y'.
// domains[3] = point^(trace_length / 16) - 1.
mstore(0x3460,
addmod(/*point^(trace_length / 16)*/ mload(0x3040), sub(PRIME, 1), PRIME))
// Denominator for constraints: 'ecdsa/signature0/exponentiate_generator/booleanity_test', 'ecdsa/signature0/exponentiate_generator/add_points/slope', 'ecdsa/signature0/exponentiate_generator/add_points/x', 'ecdsa/signature0/exponentiate_generator/add_points/y', 'ecdsa/signature0/exponentiate_generator/add_points/x_diff_inv', 'ecdsa/signature0/exponentiate_generator/copy_point/x', 'ecdsa/signature0/exponentiate_generator/copy_point/y'.
// domains[4] = point^(trace_length / 32) - 1.
mstore(0x3480,
addmod(/*point^(trace_length / 32)*/ mload(0x3020), sub(PRIME, 1), PRIME))
// Denominator for constraints: 'pedersen/input0_addr', 'pedersen/input1_addr', 'pedersen/output_addr', 'range_check_builtin/value', 'range_check_builtin/addr_step'.
// domains[5] = point^(trace_length / 128) - 1.
mstore(0x34a0,
addmod(/*point^(trace_length / 128)*/ mload(0x3000), sub(PRIME, 1), PRIME))
// Denominator for constraints: 'pedersen/hash0/ec_subset_sum/bit_unpacking/last_one_is_zero', 'pedersen/hash0/ec_subset_sum/bit_unpacking/zeroes_between_ones0', 'pedersen/hash0/ec_subset_sum/bit_unpacking/cumulative_bit192', 'pedersen/hash0/ec_subset_sum/bit_unpacking/zeroes_between_ones192', 'pedersen/hash0/ec_subset_sum/bit_unpacking/cumulative_bit196', 'pedersen/hash0/ec_subset_sum/bit_unpacking/zeroes_between_ones196', 'pedersen/hash0/copy_point/x', 'pedersen/hash0/copy_point/y', 'pedersen/hash1/ec_subset_sum/bit_unpacking/last_one_is_zero', 'pedersen/hash1/ec_subset_sum/bit_unpacking/zeroes_between_ones0', 'pedersen/hash1/ec_subset_sum/bit_unpacking/cumulative_bit192', 'pedersen/hash1/ec_subset_sum/bit_unpacking/zeroes_between_ones192', 'pedersen/hash1/ec_subset_sum/bit_unpacking/cumulative_bit196', 'pedersen/hash1/ec_subset_sum/bit_unpacking/zeroes_between_ones196', 'pedersen/hash1/copy_point/x', 'pedersen/hash1/copy_point/y', 'pedersen/hash2/ec_subset_sum/bit_unpacking/last_one_is_zero', 'pedersen/hash2/ec_subset_sum/bit_unpacking/zeroes_between_ones0', 'pedersen/hash2/ec_subset_sum/bit_unpacking/cumulative_bit192', 'pedersen/hash2/ec_subset_sum/bit_unpacking/zeroes_between_ones192', 'pedersen/hash2/ec_subset_sum/bit_unpacking/cumulative_bit196', 'pedersen/hash2/ec_subset_sum/bit_unpacking/zeroes_between_ones196', 'pedersen/hash2/copy_point/x', 'pedersen/hash2/copy_point/y', 'pedersen/hash3/ec_subset_sum/bit_unpacking/last_one_is_zero', 'pedersen/hash3/ec_subset_sum/bit_unpacking/zeroes_between_ones0', 'pedersen/hash3/ec_subset_sum/bit_unpacking/cumulative_bit192', 'pedersen/hash3/ec_subset_sum/bit_unpacking/zeroes_between_ones192', 'pedersen/hash3/ec_subset_sum/bit_unpacking/cumulative_bit196', 'pedersen/hash3/ec_subset_sum/bit_unpacking/zeroes_between_ones196', 'pedersen/hash3/copy_point/x', 'pedersen/hash3/copy_point/y'.
// domains[6] = point^(trace_length / 256) - 1.
mstore(0x34c0,
addmod(/*point^(trace_length / 256)*/ mload(0x2fe0), sub(PRIME, 1), PRIME))
// Denominator for constraints: 'pedersen/hash0/ec_subset_sum/zeros_tail', 'pedersen/hash1/ec_subset_sum/zeros_tail', 'pedersen/hash2/ec_subset_sum/zeros_tail', 'pedersen/hash3/ec_subset_sum/zeros_tail'.
// Numerator for constraints: 'pedersen/hash0/ec_subset_sum/booleanity_test', 'pedersen/hash0/ec_subset_sum/add_points/slope', 'pedersen/hash0/ec_subset_sum/add_points/x', 'pedersen/hash0/ec_subset_sum/add_points/y', 'pedersen/hash0/ec_subset_sum/copy_point/x', 'pedersen/hash0/ec_subset_sum/copy_point/y', 'pedersen/hash1/ec_subset_sum/booleanity_test', 'pedersen/hash1/ec_subset_sum/add_points/slope', 'pedersen/hash1/ec_subset_sum/add_points/x', 'pedersen/hash1/ec_subset_sum/add_points/y', 'pedersen/hash1/ec_subset_sum/copy_point/x', 'pedersen/hash1/ec_subset_sum/copy_point/y', 'pedersen/hash2/ec_subset_sum/booleanity_test', 'pedersen/hash2/ec_subset_sum/add_points/slope', 'pedersen/hash2/ec_subset_sum/add_points/x', 'pedersen/hash2/ec_subset_sum/add_points/y', 'pedersen/hash2/ec_subset_sum/copy_point/x', 'pedersen/hash2/ec_subset_sum/copy_point/y', 'pedersen/hash3/ec_subset_sum/booleanity_test', 'pedersen/hash3/ec_subset_sum/add_points/slope', 'pedersen/hash3/ec_subset_sum/add_points/x', 'pedersen/hash3/ec_subset_sum/add_points/y', 'pedersen/hash3/ec_subset_sum/copy_point/x', 'pedersen/hash3/ec_subset_sum/copy_point/y'.
// domains[7] = point^(trace_length / 256) - trace_generator^(255 * trace_length / 256).
mstore(0x34e0,
addmod(
/*point^(trace_length / 256)*/ mload(0x2fe0),
sub(PRIME, /*trace_generator^(255 * trace_length / 256)*/ mload(0x3320)),
PRIME))
// Denominator for constraints: 'pedersen/hash0/ec_subset_sum/bit_extraction_end', 'pedersen/hash1/ec_subset_sum/bit_extraction_end', 'pedersen/hash2/ec_subset_sum/bit_extraction_end', 'pedersen/hash3/ec_subset_sum/bit_extraction_end'.
// domains[8] = point^(trace_length / 256) - trace_generator^(63 * trace_length / 64).
mstore(0x3500,
addmod(
/*point^(trace_length / 256)*/ mload(0x2fe0),
sub(PRIME, /*trace_generator^(63 * trace_length / 64)*/ mload(0x3300)),
PRIME))
// Numerator for constraints: 'pedersen/hash0/copy_point/x', 'pedersen/hash0/copy_point/y', 'pedersen/hash1/copy_point/x', 'pedersen/hash1/copy_point/y', 'pedersen/hash2/copy_point/x', 'pedersen/hash2/copy_point/y', 'pedersen/hash3/copy_point/x', 'pedersen/hash3/copy_point/y'.
// domains[9] = point^(trace_length / 512) - trace_generator^(trace_length / 2).
mstore(0x3520,
addmod(
/*point^(trace_length / 512)*/ mload(0x2fc0),
sub(PRIME, /*trace_generator^(trace_length / 2)*/ mload(0x3280)),
PRIME))
// Denominator for constraints: 'pedersen/hash0/init/x', 'pedersen/hash0/init/y', 'pedersen/hash1/init/x', 'pedersen/hash1/init/y', 'pedersen/hash2/init/x', 'pedersen/hash2/init/y', 'pedersen/hash3/init/x', 'pedersen/hash3/init/y', 'pedersen/input0_value0', 'pedersen/input0_value1', 'pedersen/input0_value2', 'pedersen/input0_value3', 'pedersen/input1_value0', 'pedersen/input1_value1', 'pedersen/input1_value2', 'pedersen/input1_value3', 'pedersen/output_value0', 'pedersen/output_value1', 'pedersen/output_value2', 'pedersen/output_value3'.
// domains[10] = point^(trace_length / 512) - 1.
mstore(0x3540,
addmod(/*point^(trace_length / 512)*/ mload(0x2fc0), sub(PRIME, 1), PRIME))
// Denominator for constraints: 'bitwise/step_var_pool_addr', 'bitwise/partition'.
// domains[11] = point^(trace_length / 1024) - 1.
mstore(0x3560,
addmod(/*point^(trace_length / 1024)*/ mload(0x2fa0), sub(PRIME, 1), PRIME))
// Denominator for constraints: 'ecdsa/signature0/exponentiate_key/zeros_tail', 'ec_op/ec_subset_sum/zeros_tail'.
// Numerator for constraints: 'ecdsa/signature0/doubling_key/slope', 'ecdsa/signature0/doubling_key/x', 'ecdsa/signature0/doubling_key/y', 'ecdsa/signature0/exponentiate_key/booleanity_test', 'ecdsa/signature0/exponentiate_key/add_points/slope', 'ecdsa/signature0/exponentiate_key/add_points/x', 'ecdsa/signature0/exponentiate_key/add_points/y', 'ecdsa/signature0/exponentiate_key/add_points/x_diff_inv', 'ecdsa/signature0/exponentiate_key/copy_point/x', 'ecdsa/signature0/exponentiate_key/copy_point/y', 'ec_op/doubling_q/slope', 'ec_op/doubling_q/x', 'ec_op/doubling_q/y', 'ec_op/ec_subset_sum/booleanity_test', 'ec_op/ec_subset_sum/add_points/slope', 'ec_op/ec_subset_sum/add_points/x', 'ec_op/ec_subset_sum/add_points/y', 'ec_op/ec_subset_sum/add_points/x_diff_inv', 'ec_op/ec_subset_sum/copy_point/x', 'ec_op/ec_subset_sum/copy_point/y'.
// domains[12] = point^(trace_length / 4096) - trace_generator^(255 * trace_length / 256).
mstore(0x3580,
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(255 * trace_length / 256)*/ mload(0x3320)),
PRIME))
// Denominator for constraints: 'ecdsa/signature0/exponentiate_key/bit_extraction_end'.
// domains[13] = point^(trace_length / 4096) - trace_generator^(251 * trace_length / 256).
mstore(0x35a0,
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(251 * trace_length / 256)*/ mload(0x32e0)),
PRIME))
// Denominator for constraints: 'ecdsa/signature0/init_key/x', 'ecdsa/signature0/init_key/y', 'ecdsa/signature0/r_and_w_nonzero', 'bitwise/x_or_y_addr', 'bitwise/next_var_pool_addr', 'bitwise/or_is_and_plus_xor', 'bitwise/unique_unpacking192', 'bitwise/unique_unpacking193', 'bitwise/unique_unpacking194', 'bitwise/unique_unpacking195', 'ec_op/p_x_addr', 'ec_op/p_y_addr', 'ec_op/q_x_addr', 'ec_op/q_y_addr', 'ec_op/m_addr', 'ec_op/r_x_addr', 'ec_op/r_y_addr', 'ec_op/get_q_x', 'ec_op/get_q_y', 'ec_op/ec_subset_sum/bit_unpacking/last_one_is_zero', 'ec_op/ec_subset_sum/bit_unpacking/zeroes_between_ones0', 'ec_op/ec_subset_sum/bit_unpacking/cumulative_bit192', 'ec_op/ec_subset_sum/bit_unpacking/zeroes_between_ones192', 'ec_op/ec_subset_sum/bit_unpacking/cumulative_bit196', 'ec_op/ec_subset_sum/bit_unpacking/zeroes_between_ones196', 'ec_op/get_m', 'ec_op/get_p_x', 'ec_op/get_p_y', 'ec_op/set_r_x', 'ec_op/set_r_y'.
// domains[14] = point^(trace_length / 4096) - 1.
mstore(0x35c0,
addmod(/*point^(trace_length / 4096)*/ mload(0x2f80), sub(PRIME, 1), PRIME))
// Numerator for constraints: 'bitwise/step_var_pool_addr'.
// domains[15] = point^(trace_length / 4096) - trace_generator^(3 * trace_length / 4).
mstore(0x35e0,
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(3 * trace_length / 4)*/ mload(0x32a0)),
PRIME))
// Denominator for constraints: 'bitwise/addition_is_xor_with_and'.
// domains[16] = (point^(trace_length / 4096) - trace_generator^(trace_length / 64)) * (point^(trace_length / 4096) - trace_generator^(trace_length / 32)) * (point^(trace_length / 4096) - trace_generator^(3 * trace_length / 64)) * (point^(trace_length / 4096) - trace_generator^(trace_length / 16)) * (point^(trace_length / 4096) - trace_generator^(5 * trace_length / 64)) * (point^(trace_length / 4096) - trace_generator^(3 * trace_length / 32)) * (point^(trace_length / 4096) - trace_generator^(7 * trace_length / 64)) * (point^(trace_length / 4096) - trace_generator^(trace_length / 8)) * (point^(trace_length / 4096) - trace_generator^(9 * trace_length / 64)) * (point^(trace_length / 4096) - trace_generator^(5 * trace_length / 32)) * (point^(trace_length / 4096) - trace_generator^(11 * trace_length / 64)) * (point^(trace_length / 4096) - trace_generator^(3 * trace_length / 16)) * (point^(trace_length / 4096) - trace_generator^(13 * trace_length / 64)) * (point^(trace_length / 4096) - trace_generator^(7 * trace_length / 32)) * (point^(trace_length / 4096) - trace_generator^(15 * trace_length / 64)) * domain14.
{
let domain := mulmod(
mulmod(
mulmod(
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(trace_length / 64)*/ mload(0x30a0)),
PRIME),
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(trace_length / 32)*/ mload(0x30c0)),
PRIME),
PRIME),
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(3 * trace_length / 64)*/ mload(0x30e0)),
PRIME),
PRIME),
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(trace_length / 16)*/ mload(0x3100)),
PRIME),
PRIME)
domain := mulmod(
domain,
mulmod(
mulmod(
mulmod(
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(5 * trace_length / 64)*/ mload(0x3120)),
PRIME),
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(3 * trace_length / 32)*/ mload(0x3140)),
PRIME),
PRIME),
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(7 * trace_length / 64)*/ mload(0x3160)),
PRIME),
PRIME),
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(trace_length / 8)*/ mload(0x3180)),
PRIME),
PRIME),
PRIME)
domain := mulmod(
domain,
mulmod(
mulmod(
mulmod(
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(9 * trace_length / 64)*/ mload(0x31a0)),
PRIME),
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(5 * trace_length / 32)*/ mload(0x31c0)),
PRIME),
PRIME),
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(11 * trace_length / 64)*/ mload(0x31e0)),
PRIME),
PRIME),
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(3 * trace_length / 16)*/ mload(0x3200)),
PRIME),
PRIME),
PRIME)
domain := mulmod(
domain,
mulmod(
mulmod(
mulmod(
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(13 * trace_length / 64)*/ mload(0x3220)),
PRIME),
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(7 * trace_length / 32)*/ mload(0x3240)),
PRIME),
PRIME),
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(15 * trace_length / 64)*/ mload(0x3260)),
PRIME),
PRIME),
/*domains[14]*/ mload(0x35c0),
PRIME),
PRIME)
mstore(0x3600, domain)
}
// Denominator for constraints: 'ec_op/ec_subset_sum/bit_extraction_end'.
// domains[17] = point^(trace_length / 4096) - trace_generator^(63 * trace_length / 64).
mstore(0x3620,
addmod(
/*point^(trace_length / 4096)*/ mload(0x2f80),
sub(PRIME, /*trace_generator^(63 * trace_length / 64)*/ mload(0x3300)),
PRIME))
// Denominator for constraints: 'ecdsa/signature0/exponentiate_generator/zeros_tail'.
// Numerator for constraints: 'ecdsa/signature0/exponentiate_generator/booleanity_test', 'ecdsa/signature0/exponentiate_generator/add_points/slope', 'ecdsa/signature0/exponentiate_generator/add_points/x', 'ecdsa/signature0/exponentiate_generator/add_points/y', 'ecdsa/signature0/exponentiate_generator/add_points/x_diff_inv', 'ecdsa/signature0/exponentiate_generator/copy_point/x', 'ecdsa/signature0/exponentiate_generator/copy_point/y'.
// domains[18] = point^(trace_length / 8192) - trace_generator^(255 * trace_length / 256).
mstore(0x3640,
addmod(
/*point^(trace_length / 8192)*/ mload(0x2f60),
sub(PRIME, /*trace_generator^(255 * trace_length / 256)*/ mload(0x3320)),
PRIME))
// Denominator for constraints: 'ecdsa/signature0/exponentiate_generator/bit_extraction_end'.
// domains[19] = point^(trace_length / 8192) - trace_generator^(251 * trace_length / 256).
mstore(0x3660,
addmod(
/*point^(trace_length / 8192)*/ mload(0x2f60),
sub(PRIME, /*trace_generator^(251 * trace_length / 256)*/ mload(0x32e0)),
PRIME))
// Denominator for constraints: 'ecdsa/signature0/init_gen/x', 'ecdsa/signature0/init_gen/y', 'ecdsa/signature0/add_results/slope', 'ecdsa/signature0/add_results/x', 'ecdsa/signature0/add_results/y', 'ecdsa/signature0/add_results/x_diff_inv', 'ecdsa/signature0/extract_r/slope', 'ecdsa/signature0/extract_r/x', 'ecdsa/signature0/extract_r/x_diff_inv', 'ecdsa/signature0/z_nonzero', 'ecdsa/signature0/q_on_curve/x_squared', 'ecdsa/signature0/q_on_curve/on_curve', 'ecdsa/message_addr', 'ecdsa/pubkey_addr', 'ecdsa/message_value0', 'ecdsa/pubkey_value0'.
// domains[20] = point^(trace_length / 8192) - 1.
mstore(0x3680,
addmod(/*point^(trace_length / 8192)*/ mload(0x2f60), sub(PRIME, 1), PRIME))
// Denominator for constraints: 'final_ap', 'final_fp', 'final_pc'.
// Numerator for constraints: 'cpu/update_registers/update_pc/tmp0', 'cpu/update_registers/update_pc/tmp1', 'cpu/update_registers/update_pc/pc_cond_negative', 'cpu/update_registers/update_pc/pc_cond_positive', 'cpu/update_registers/update_ap/ap_update', 'cpu/update_registers/update_fp/fp_update'.
// domains[21] = point - trace_generator^(trace_length - 16).
mstore(0x36a0,
addmod(point, sub(PRIME, /*trace_generator^(trace_length - 16)*/ mload(0x3340)), PRIME))
// Denominator for constraints: 'initial_ap', 'initial_fp', 'initial_pc', 'memory/multi_column_perm/perm/init0', 'memory/initial_addr', 'range_check16/perm/init0', 'range_check16/minimum', 'diluted_check/permutation/init0', 'diluted_check/init', 'diluted_check/first_element', 'pedersen/init_addr', 'range_check_builtin/init_addr', 'ecdsa/init_addr', 'bitwise/init_var_pool_addr', 'ec_op/init_addr'.
// domains[22] = point - 1.
mstore(0x36c0,
addmod(point, sub(PRIME, 1), PRIME))
// Denominator for constraints: 'memory/multi_column_perm/perm/last', 'range_check16/perm/last', 'range_check16/maximum'.
// Numerator for constraints: 'memory/multi_column_perm/perm/step0', 'memory/diff_is_bit', 'memory/is_func', 'range_check16/perm/step0', 'range_check16/diff_is_bit'.
// domains[23] = point - trace_generator^(trace_length - 2).
mstore(0x36e0,
addmod(point, sub(PRIME, /*trace_generator^(trace_length - 2)*/ mload(0x3360)), PRIME))
// Denominator for constraints: 'diluted_check/permutation/last', 'diluted_check/last'.
// Numerator for constraints: 'diluted_check/permutation/step0', 'diluted_check/step'.
// domains[24] = point - trace_generator^(trace_length - 1).
mstore(0x3700,
addmod(point, sub(PRIME, /*trace_generator^(trace_length - 1)*/ mload(0x3380)), PRIME))
// Numerator for constraints: 'pedersen/input0_addr', 'range_check_builtin/addr_step'.
// domains[25] = point - trace_generator^(trace_length - 128).
mstore(0x3720,
addmod(point, sub(PRIME, /*trace_generator^(trace_length - 128)*/ mload(0x33a0)), PRIME))
// Numerator for constraints: 'ecdsa/pubkey_addr'.
// domains[26] = point - trace_generator^(trace_length - 8192).
mstore(0x3740,
addmod(point, sub(PRIME, /*trace_generator^(trace_length - 8192)*/ mload(0x33c0)), PRIME))
// Numerator for constraints: 'bitwise/next_var_pool_addr', 'ec_op/p_x_addr'.
// domains[27] = point - trace_generator^(trace_length - 4096).
mstore(0x3760,
addmod(point, sub(PRIME, /*trace_generator^(trace_length - 4096)*/ mload(0x33e0)), PRIME))
}
{
// Prepare denominators for batch inverse.
// denominators[0] = domains[0].
mstore(0x3a60, /*domains[0]*/ mload(0x3400))
// denominators[1] = domains[2].
mstore(0x3a80, /*domains[2]*/ mload(0x3440))
// denominators[2] = domains[3].
mstore(0x3aa0, /*domains[3]*/ mload(0x3460))
// denominators[3] = domains[21].
mstore(0x3ac0, /*domains[21]*/ mload(0x36a0))
// denominators[4] = domains[22].
mstore(0x3ae0, /*domains[22]*/ mload(0x36c0))
// denominators[5] = domains[1].
mstore(0x3b00, /*domains[1]*/ mload(0x3420))
// denominators[6] = domains[23].
mstore(0x3b20, /*domains[23]*/ mload(0x36e0))
// denominators[7] = domains[24].
mstore(0x3b40, /*domains[24]*/ mload(0x3700))
// denominators[8] = domains[6].
mstore(0x3b60, /*domains[6]*/ mload(0x34c0))
// denominators[9] = domains[7].
mstore(0x3b80, /*domains[7]*/ mload(0x34e0))
// denominators[10] = domains[8].
mstore(0x3ba0, /*domains[8]*/ mload(0x3500))
// denominators[11] = domains[10].
mstore(0x3bc0, /*domains[10]*/ mload(0x3540))
// denominators[12] = domains[5].
mstore(0x3be0, /*domains[5]*/ mload(0x34a0))
// denominators[13] = domains[12].
mstore(0x3c00, /*domains[12]*/ mload(0x3580))
// denominators[14] = domains[4].
mstore(0x3c20, /*domains[4]*/ mload(0x3480))
// denominators[15] = domains[18].
mstore(0x3c40, /*domains[18]*/ mload(0x3640))
// denominators[16] = domains[19].
mstore(0x3c60, /*domains[19]*/ mload(0x3660))
// denominators[17] = domains[13].
mstore(0x3c80, /*domains[13]*/ mload(0x35a0))
// denominators[18] = domains[20].
mstore(0x3ca0, /*domains[20]*/ mload(0x3680))
// denominators[19] = domains[14].
mstore(0x3cc0, /*domains[14]*/ mload(0x35c0))
// denominators[20] = domains[11].
mstore(0x3ce0, /*domains[11]*/ mload(0x3560))
// denominators[21] = domains[16].
mstore(0x3d00, /*domains[16]*/ mload(0x3600))
// denominators[22] = domains[17].
mstore(0x3d20, /*domains[17]*/ mload(0x3620))
}
{
// Compute the inverses of the denominators into denominatorInvs using batch inverse.
// Start by computing the cumulative product.
// Let (d_0, d_1, d_2, ..., d_{n-1}) be the values in denominators. After this loop
// denominatorInvs will be (1, d_0, d_0 * d_1, ...) and prod will contain the value of
// d_0 * ... * d_{n-1}.
// Compute the offset between the partialProducts array and the input values array.
let productsToValuesOffset := 0x2e0
let prod := 1
let partialProductEndPtr := 0x3a60
for { let partialProductPtr := 0x3780 }
lt(partialProductPtr, partialProductEndPtr)
{ partialProductPtr := add(partialProductPtr, 0x20) } {
mstore(partialProductPtr, prod)
// prod *= d_{i}.
prod := mulmod(prod,
mload(add(partialProductPtr, productsToValuesOffset)),
PRIME)
}
let firstPartialProductPtr := 0x3780
// Compute the inverse of the product.
let prodInv := expmod(prod, sub(PRIME, 2), PRIME)
if eq(prodInv, 0) {
// Solidity generates reverts with reason that look as follows:
// 1. 4 bytes with the constant 0x08c379a0 (== Keccak256(b'Error(string)')[:4]).
// 2. 32 bytes offset bytes (always 0x20 as far as i can tell).
// 3. 32 bytes with the length of the revert reason.
// 4. Revert reason string.
mstore(0, 0x08c379a000000000000000000000000000000000000000000000000000000000)
mstore(0x4, 0x20)
mstore(0x24, 0x1e)
mstore(0x44, "Batch inverse product is zero.")
revert(0, 0x62)
}
// Compute the inverses.
// Loop over denominator_invs in reverse order.
// currentPartialProductPtr is initialized to one past the end.
let currentPartialProductPtr := 0x3a60
for { } gt(currentPartialProductPtr, firstPartialProductPtr) { } {
currentPartialProductPtr := sub(currentPartialProductPtr, 0x20)
// Store 1/d_{i} = (d_0 * ... * d_{i-1}) * 1/(d_0 * ... * d_{i}).
mstore(currentPartialProductPtr,
mulmod(mload(currentPartialProductPtr), prodInv, PRIME))
// Update prodInv to be 1/(d_0 * ... * d_{i-1}) by multiplying by d_i.
prodInv := mulmod(prodInv,
mload(add(currentPartialProductPtr, productsToValuesOffset)),
PRIME)
}
}
{
// Compute the result of the composition polynomial.
{
// cpu/decode/opcode_range_check/bit_0 = column0_row0 - (column0_row1 + column0_row1).
let val := addmod(
/*column0_row0*/ mload(0x5a0),
sub(
PRIME,
addmod(/*column0_row1*/ mload(0x5c0), /*column0_row1*/ mload(0x5c0), PRIME)),
PRIME)
mstore(0x2960, val)
}
{
// cpu/decode/opcode_range_check/bit_2 = column0_row2 - (column0_row3 + column0_row3).
let val := addmod(
/*column0_row2*/ mload(0x5e0),
sub(
PRIME,
addmod(/*column0_row3*/ mload(0x600), /*column0_row3*/ mload(0x600), PRIME)),
PRIME)
mstore(0x2980, val)
}
{
// cpu/decode/opcode_range_check/bit_4 = column0_row4 - (column0_row5 + column0_row5).
let val := addmod(
/*column0_row4*/ mload(0x620),
sub(
PRIME,
addmod(/*column0_row5*/ mload(0x640), /*column0_row5*/ mload(0x640), PRIME)),
PRIME)
mstore(0x29a0, val)
}
{
// cpu/decode/opcode_range_check/bit_3 = column0_row3 - (column0_row4 + column0_row4).
let val := addmod(
/*column0_row3*/ mload(0x600),
sub(
PRIME,
addmod(/*column0_row4*/ mload(0x620), /*column0_row4*/ mload(0x620), PRIME)),
PRIME)
mstore(0x29c0, val)
}
{
// cpu/decode/flag_op1_base_op0_0 = 1 - (cpu__decode__opcode_range_check__bit_2 + cpu__decode__opcode_range_check__bit_4 + cpu__decode__opcode_range_check__bit_3).
let val := addmod(
1,
sub(
PRIME,
addmod(
addmod(
/*intermediate_value/cpu/decode/opcode_range_check/bit_2*/ mload(0x2980),
/*intermediate_value/cpu/decode/opcode_range_check/bit_4*/ mload(0x29a0),
PRIME),
/*intermediate_value/cpu/decode/opcode_range_check/bit_3*/ mload(0x29c0),
PRIME)),
PRIME)
mstore(0x29e0, val)
}
{
// cpu/decode/opcode_range_check/bit_5 = column0_row5 - (column0_row6 + column0_row6).
let val := addmod(
/*column0_row5*/ mload(0x640),
sub(
PRIME,
addmod(/*column0_row6*/ mload(0x660), /*column0_row6*/ mload(0x660), PRIME)),
PRIME)
mstore(0x2a00, val)
}
{
// cpu/decode/opcode_range_check/bit_6 = column0_row6 - (column0_row7 + column0_row7).
let val := addmod(
/*column0_row6*/ mload(0x660),
sub(
PRIME,
addmod(/*column0_row7*/ mload(0x680), /*column0_row7*/ mload(0x680), PRIME)),
PRIME)
mstore(0x2a20, val)
}
{
// cpu/decode/opcode_range_check/bit_9 = column0_row9 - (column0_row10 + column0_row10).
let val := addmod(
/*column0_row9*/ mload(0x6c0),
sub(
PRIME,
addmod(/*column0_row10*/ mload(0x6e0), /*column0_row10*/ mload(0x6e0), PRIME)),
PRIME)
mstore(0x2a40, val)
}
{
// cpu/decode/flag_res_op1_0 = 1 - (cpu__decode__opcode_range_check__bit_5 + cpu__decode__opcode_range_check__bit_6 + cpu__decode__opcode_range_check__bit_9).
let val := addmod(
1,
sub(
PRIME,
addmod(
addmod(
/*intermediate_value/cpu/decode/opcode_range_check/bit_5*/ mload(0x2a00),
/*intermediate_value/cpu/decode/opcode_range_check/bit_6*/ mload(0x2a20),
PRIME),
/*intermediate_value/cpu/decode/opcode_range_check/bit_9*/ mload(0x2a40),
PRIME)),
PRIME)
mstore(0x2a60, val)
}
{
// cpu/decode/opcode_range_check/bit_7 = column0_row7 - (column0_row8 + column0_row8).
let val := addmod(
/*column0_row7*/ mload(0x680),
sub(
PRIME,
addmod(/*column0_row8*/ mload(0x6a0), /*column0_row8*/ mload(0x6a0), PRIME)),
PRIME)
mstore(0x2a80, val)
}
{
// cpu/decode/opcode_range_check/bit_8 = column0_row8 - (column0_row9 + column0_row9).
let val := addmod(
/*column0_row8*/ mload(0x6a0),
sub(
PRIME,
addmod(/*column0_row9*/ mload(0x6c0), /*column0_row9*/ mload(0x6c0), PRIME)),
PRIME)
mstore(0x2aa0, val)
}
{
// cpu/decode/flag_pc_update_regular_0 = 1 - (cpu__decode__opcode_range_check__bit_7 + cpu__decode__opcode_range_check__bit_8 + cpu__decode__opcode_range_check__bit_9).
let val := addmod(
1,
sub(
PRIME,
addmod(
addmod(
/*intermediate_value/cpu/decode/opcode_range_check/bit_7*/ mload(0x2a80),
/*intermediate_value/cpu/decode/opcode_range_check/bit_8*/ mload(0x2aa0),
PRIME),
/*intermediate_value/cpu/decode/opcode_range_check/bit_9*/ mload(0x2a40),
PRIME)),
PRIME)
mstore(0x2ac0, val)
}
{
// cpu/decode/opcode_range_check/bit_12 = column0_row12 - (column0_row13 + column0_row13).
let val := addmod(
/*column0_row12*/ mload(0x720),
sub(
PRIME,
addmod(/*column0_row13*/ mload(0x740), /*column0_row13*/ mload(0x740), PRIME)),
PRIME)
mstore(0x2ae0, val)
}
{
// cpu/decode/opcode_range_check/bit_13 = column0_row13 - (column0_row14 + column0_row14).
let val := addmod(
/*column0_row13*/ mload(0x740),
sub(
PRIME,
addmod(/*column0_row14*/ mload(0x760), /*column0_row14*/ mload(0x760), PRIME)),
PRIME)
mstore(0x2b00, val)
}
{
// cpu/decode/fp_update_regular_0 = 1 - (cpu__decode__opcode_range_check__bit_12 + cpu__decode__opcode_range_check__bit_13).
let val := addmod(
1,
sub(
PRIME,
addmod(
/*intermediate_value/cpu/decode/opcode_range_check/bit_12*/ mload(0x2ae0),
/*intermediate_value/cpu/decode/opcode_range_check/bit_13*/ mload(0x2b00),
PRIME)),
PRIME)
mstore(0x2b20, val)
}
{
// cpu/decode/opcode_range_check/bit_1 = column0_row1 - (column0_row2 + column0_row2).
let val := addmod(
/*column0_row1*/ mload(0x5c0),
sub(
PRIME,
addmod(/*column0_row2*/ mload(0x5e0), /*column0_row2*/ mload(0x5e0), PRIME)),
PRIME)
mstore(0x2b40, val)
}
{
// npc_reg_0 = column19_row0 + cpu__decode__opcode_range_check__bit_2 + 1.
let val := addmod(
addmod(
/*column19_row0*/ mload(0x15e0),
/*intermediate_value/cpu/decode/opcode_range_check/bit_2*/ mload(0x2980),
PRIME),
1,
PRIME)
mstore(0x2b60, val)
}
{
// cpu/decode/opcode_range_check/bit_10 = column0_row10 - (column0_row11 + column0_row11).
let val := addmod(
/*column0_row10*/ mload(0x6e0),
sub(
PRIME,
addmod(/*column0_row11*/ mload(0x700), /*column0_row11*/ mload(0x700), PRIME)),
PRIME)
mstore(0x2b80, val)
}
{
// cpu/decode/opcode_range_check/bit_11 = column0_row11 - (column0_row12 + column0_row12).
let val := addmod(
/*column0_row11*/ mload(0x700),
sub(
PRIME,
addmod(/*column0_row12*/ mload(0x720), /*column0_row12*/ mload(0x720), PRIME)),
PRIME)
mstore(0x2ba0, val)
}
{
// cpu/decode/opcode_range_check/bit_14 = column0_row14 - (column0_row15 + column0_row15).
let val := addmod(
/*column0_row14*/ mload(0x760),
sub(
PRIME,
addmod(/*column0_row15*/ mload(0x780), /*column0_row15*/ mload(0x780), PRIME)),
PRIME)
mstore(0x2bc0, val)
}
{
// memory/address_diff_0 = column20_row3 - column20_row1.
let val := addmod(/*column20_row3*/ mload(0x1da0), sub(PRIME, /*column20_row1*/ mload(0x1d60)), PRIME)
mstore(0x2be0, val)
}
{
// range_check16/diff_0 = column21_row3 - column21_row1.
let val := addmod(/*column21_row3*/ mload(0x1f60), sub(PRIME, /*column21_row1*/ mload(0x1f20)), PRIME)
mstore(0x2c00, val)
}
{
// pedersen/hash0/ec_subset_sum/bit_0 = column5_row0 - (column5_row1 + column5_row1).
let val := addmod(
/*column5_row0*/ mload(0xd00),
sub(
PRIME,
addmod(/*column5_row1*/ mload(0xd20), /*column5_row1*/ mload(0xd20), PRIME)),
PRIME)
mstore(0x2c20, val)
}
{
// pedersen/hash0/ec_subset_sum/bit_neg_0 = 1 - pedersen__hash0__ec_subset_sum__bit_0.
let val := addmod(
1,
sub(PRIME, /*intermediate_value/pedersen/hash0/ec_subset_sum/bit_0*/ mload(0x2c20)),
PRIME)
mstore(0x2c40, val)
}
{
// pedersen/hash1/ec_subset_sum/bit_0 = column8_row0 - (column8_row1 + column8_row1).
let val := addmod(
/*column8_row0*/ mload(0xf40),
sub(
PRIME,
addmod(/*column8_row1*/ mload(0xf60), /*column8_row1*/ mload(0xf60), PRIME)),
PRIME)
mstore(0x2c60, val)
}
{
// pedersen/hash1/ec_subset_sum/bit_neg_0 = 1 - pedersen__hash1__ec_subset_sum__bit_0.
let val := addmod(
1,
sub(PRIME, /*intermediate_value/pedersen/hash1/ec_subset_sum/bit_0*/ mload(0x2c60)),
PRIME)
mstore(0x2c80, val)
}
{
// pedersen/hash2/ec_subset_sum/bit_0 = column11_row0 - (column11_row1 + column11_row1).
let val := addmod(
/*column11_row0*/ mload(0x1180),
sub(
PRIME,
addmod(/*column11_row1*/ mload(0x11a0), /*column11_row1*/ mload(0x11a0), PRIME)),
PRIME)
mstore(0x2ca0, val)
}
{
// pedersen/hash2/ec_subset_sum/bit_neg_0 = 1 - pedersen__hash2__ec_subset_sum__bit_0.
let val := addmod(
1,
sub(PRIME, /*intermediate_value/pedersen/hash2/ec_subset_sum/bit_0*/ mload(0x2ca0)),
PRIME)
mstore(0x2cc0, val)
}
{
// pedersen/hash3/ec_subset_sum/bit_0 = column14_row0 - (column14_row1 + column14_row1).
let val := addmod(
/*column14_row0*/ mload(0x13c0),
sub(
PRIME,
addmod(/*column14_row1*/ mload(0x13e0), /*column14_row1*/ mload(0x13e0), PRIME)),
PRIME)
mstore(0x2ce0, val)
}
{
// pedersen/hash3/ec_subset_sum/bit_neg_0 = 1 - pedersen__hash3__ec_subset_sum__bit_0.
let val := addmod(
1,
sub(PRIME, /*intermediate_value/pedersen/hash3/ec_subset_sum/bit_0*/ mload(0x2ce0)),
PRIME)
mstore(0x2d00, val)
}
{
// range_check_builtin/value0_0 = column20_row12.
let val := /*column20_row12*/ mload(0x1e00)
mstore(0x2d20, val)
}
{
// range_check_builtin/value1_0 = range_check_builtin__value0_0 * offset_size + column20_row28.
let val := addmod(
mulmod(
/*intermediate_value/range_check_builtin/value0_0*/ mload(0x2d20),
/*offset_size*/ mload(0xa0),
PRIME),
/*column20_row28*/ mload(0x1e20),
PRIME)
mstore(0x2d40, val)
}
{
// range_check_builtin/value2_0 = range_check_builtin__value1_0 * offset_size + column20_row44.
let val := addmod(
mulmod(
/*intermediSubmitted on: 2025-10-08 10:52:27
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