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"YulIdentifier", "src": "29774:6:22" }, "nodeType": "YulFunctionCall", "src": "29774:30:22" }, "nodeType": "YulExpressionStatement", "src": "29774:30:22" }, { "expression": { "arguments": [ { "arguments": [ { "name": "headStart", "nodeType": "YulIdentifier", "src": "29824:9:22" }, { "kind": "number", "nodeType": "YulLiteral", "src": "29835:2:22", "type": "", "value": "64" } ], "functionName": { "name": "add", "nodeType": "YulIdentifier", "src": "29820:3:22" }, "nodeType": "YulFunctionCall", "src": "29820:18:22" }, { "kind": "string", "nodeType": "YulLiteral", "src": "29840:17:22", "type": "", "value": "LENGTH_MISMATCH" } ], "functionName": { "name": "mstore", "nodeType": "YulIdentifier", "src": "29813:6:22" }, "nodeType": "YulFunctionCall", "src": "29813:45:22" }, "nodeType": "YulExpressionStatement", "src": "29813:45:22" }, { "nodeType": "YulAssignment", "src": "29867:26:22", "value": { "arguments": [ { "name": "headStart", "nodeType": "YulIdentifier", "src": "29879:9:22" }, { "kind": "number", "nodeType": "YulLiteral", "src": "29890:2:22", "type": "", "value": "96" } ], "functionName": { "name": "add", "nodeType": "YulIdentifier", "src": "29875:3:22" }, "nodeType": "YulFunctionCall", "src": "29875:18:22" }, "variableNames": [ { "name": "tail", "nodeType": "YulIdentifier", "src": "29867:4:22" } ] } ] }, "name": "abi_encode_tuple_t_stringliteral_c58dd6910b3d398979b9081d1d6e7a265ec7a7fb91e9e38230c02220af4c5217__to_t_string_memory_ptr__fromStack_reversed", "nodeType": "YulFunctionDefinition", "parameters": [ { "name": "headStart", "nodeType": "YulTypedName", "src": "29711:9:22", "type": "" } ], "returnVariables": [ { "name": "tail", "nodeType": "YulTypedName", "src": "29725:4:22", "type": "" } ], "src": "29560:339:22" }, { "body": { "nodeType": "YulBlock", "src": "29998:498:22", "statements": [ { "nodeType": "YulVariableDeclaration", "src": "30008:51:22", "value": { "arguments": [ { "name": "ptr_to_tail", "nodeType": "YulIdentifier", "src": "30047:11:22" } ], "functionName": { "name": "calldataload", "nodeType": "YulIdentifier", "src": "30034:12:22" }, "nodeType": "YulFunctionCall", "src": "30034:25:22" }, "variables": [ { "name": "rel_offset_of_tail", "nodeType": "YulTypedName", "src": "30012:18:22", "type": "" } ] }, { "body": { "nodeType": "YulBlock", "src": "30207:22:22", "statements": [ { "expression": { "arguments": [ { "name": "addr", "nodeType": "YulIdentifier", "src": "30216:4:22" }, { "name": "addr", "nodeType": "YulIdentifier", "src": "30222:4:22" } ], "functionName": { "name": "revert", "nodeType": "YulIdentifier", "src": "30209:6:22" }, "nodeType": "YulFunctionCall", "src": "30209:18:22" }, "nodeType": "YulExpressionStatement", "src": "30209:18:22" } ] }, "condition": { "arguments": [ { "arguments": [ { "name": "rel_offset_of_tail", "nodeType": "YulIdentifier", "src": "30082:18:22" }, { "arguments": [ { "arguments": [ { "arguments": [], "functionName": { "name": "calldatasize", "nodeType": "YulIdentifier", "src": "30110:12:22" }, "nodeType": "YulFunctionCall", "src": "30110:14:22" }, { "name": "base_ref", "nodeType": "YulIdentifier", "src": "30126:8:22" } ], "functionName": { "name": "sub", "nodeType": "YulIdentifier", "src": "30106:3:22" }, "nodeType": "YulFunctionCall", "src": "30106:29:22" }, { "kind": "number", "nodeType": "YulLiteral", "src": "30137:66:22", "type": "", "value": "0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe1" } ], "functionName": { "name": "add", "nodeType": "YulIdentifier", "src": "30102:3:22" }, "nodeType": "YulFunctionCall", "src": "30102:102:22" } ], "functionName": { "name": "slt", "nodeType": "YulIdentifier", "src": "30078:3:22" }, "nodeType": "YulFunctionCall", "src": "30078:127:22" } ], "functionName": { "name": "iszero", "nodeType": "YulIdentifier", "src": "30071:6:22" }, "nodeType": "YulFunctionCall", "src": "30071:135:22" }, "nodeType": "YulIf", "src": "30068:2:22" }, { "nodeType": "YulVariableDeclaration", "src": "30238:47:22", "value": { "arguments": [ { "name": "base_ref", "nodeType": "YulIdentifier", "src": "30256:8:22" }, { "name": "rel_offset_of_tail", "nodeType": "YulIdentifier", "src": "30266:18:22" } ], "functionName": { "name": "add", "nodeType": "YulIdentifier", "src": "30252:3:22" }, "nodeType": "YulFunctionCall", "src": "30252:33:22" }, "variables": [ { "name": "addr_1", "nodeType": "YulTypedName", "src": "30242:6:22", "type": "" } ] }, { "nodeType": "YulAssignment", "src": "30294:30:22", "value": { "arguments": [ { "name": "addr_1", "nodeType": "YulIdentifier", "src": "30317:6:22" } ], "functionName": { "name": "calldataload", "nodeType": "YulIdentifier", "src": "30304:12:22" }, "nodeType": "YulFunctionCall", "src": "30304:20:22" }, "variableNames": [ { "name": "length", "nodeType": "YulIdentifier", "src": "30294:6:22" } ] }, { "body": { "nodeType": "YulBlock", "src": "30367:22:22", "statements": [ { "expression": { "arguments": [ { "name": "addr", "nodeType": "YulIdentifier", "src": "30376:4:22" }, { "name": "addr", "nodeType": "YulIdentifier", "src": "30382:4:22" } ], "functionName": { "name": "revert", "nodeType": "YulIdentifier", "src": "30369:6:22" }, "nodeType": "YulFunctionCall", "src": "30369:18:22" }, "nodeType": "YulExpressionStatement", "src": "30369:18:22" } ] }, "condition": { "arguments": [ { "name": "length", "nodeType": "YulIdentifier", "src": "30339:6:22" }, { "kind": "number", "nodeType": "YulLiteral", "src": "30347:18:22", "type": "", "value": "0xffffffffffffffff" } ], "functionName": { "name": "gt", "nodeType": "YulIdentifier", "src": "30336:2:22" }, "nodeType": "YulFunctionCall", "src": "30336:30:22" }, "nodeType": "YulIf", "src": "30333:2:22" }, { "nodeType": "YulAssignment", "src": "30398:25:22", "value": { "arguments": [ { "name": "addr_1", "nodeType": "YulIdentifier", "src": "30410:6:22" }, { "kind": "number", "nodeType": "YulLiteral", "src": "30418:4:22", "type": "", "value": "0x20" } ], "functionName": { "name": "add", "nodeType": "YulIdentifier", "src": "30406:3:22" }, "nodeType": "YulFunctionCall", "src": "30406:17:22" }, "variableNames": [ { "name": "addr", "nodeType": "YulIdentifier", "src": "30398:4:22" } ] }, { "body": { "nodeType": "YulBlock", "src": "30474:16:22", "statements": [ { "expression": { "arguments": [ { "kind": "number", "nodeType": "YulLiteral", "src": "30483:1:22", "type": "", "value": "0" }, { "kind": "number", "nodeType": "YulLiteral", "src": "30486:1:22", "type": "", "value": "0" } ], "functionName": { "name": "revert", "nodeType": "YulIdentifier", "src": "30476:6:22" }, "nodeType": "YulFunctionCall", "src": "30476:12:22" }, "nodeType": "YulExpressionStatement", "src": "30476:12:22" } ] }, "condition": { "arguments": [ { "name": "addr", "nodeType": "YulIdentifier", "src": "30439:4:22" }, { "arguments": [ { "arguments": [], "functionName": { "name": "calldatasize", "nodeType": "YulIdentifier", "src": "30449:12:22" }, "nodeType": "YulFunctionCall", "src": "30449:14:22" }, { "name": "length", "nodeType": "YulIdentifier", "src": "30465:6:22" } ], "functionName": { "name": "sub", "nodeType": "YulIdentifier", "src": "30445:3:22" }, "nodeType": "YulFunctionCall", "src": "30445:27:22" } ], "functionName": { "name": "sgt", "nodeType": "YulIdentifier", "src": "30435:3:22" }, "nodeType": "YulFunctionCall", "src": "30435:38:22" }, "nodeType": "YulIf", "src": "30432:2:22" } ] }, "name": "access_calldata_tail_t_bytes_calldata_ptr", "nodeType": "YulFunctionDefinition", "parameters": [ { "name": "base_ref", "nodeType": "YulTypedName", "src": "29955:8:22", "type": "" }, { "name": "ptr_to_tail", "nodeType": "YulTypedName", "src": "29965:11:22", "type": "" } ], "returnVariables": [ { "name": "addr", "nodeType": "YulTypedName", "src": "29981:4:22", "type": "" }, { "name": "length", "nodeType": "YulTypedName", "src": "29987:6:22", "type": "" } ], "src": "29904:592:22" } ] }, "contents": "{\n { }\n function abi_decode_t_array$_t_bytes32_$dyn_calldata(offset, end) -> arrayPos, length\n {\n if iszero(slt(add(offset, 0x1f), end)) { revert(arrayPos, arrayPos) }\n length := calldataload(offset)\n if gt(length, 0xffffffffffffffff) { revert(arrayPos, arrayPos) }\n arrayPos := add(offset, 0x20)\n if gt(add(add(offset, mul(length, 0x20)), 0x20), end) { revert(0, 0) }\n }\n function abi_decode_t_bytes_calldata(offset, end) -> arrayPos, length\n {\n if iszero(slt(add(offset, 0x1f), end)) { revert(arrayPos, arrayPos) }\n length := calldataload(offset)\n if gt(length, 0xffffffffffffffff) { revert(arrayPos, arrayPos) }\n arrayPos := add(offset, 0x20)\n if gt(add(add(offset, length), 0x20), end) { revert(0, 0) }\n }\n function abi_decode_tuple_t_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1\n {\n if slt(sub(dataEnd, headStart), 32) { revert(value0, value0) }\n let offset := calldataload(headStart)\n if gt(offset, 0xffffffffffffffff) { revert(value0, value0) }\n let value0_1, value1_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value0 := value0_1\n value1 := value1_1\n }\n function abi_decode_tuple_t_array$_t_bytes_calldata_ptr_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1\n {\n if slt(sub(dataEnd, headStart), 32) { revert(value0, value0) }\n let offset := calldataload(headStart)\n if gt(offset, 0xffffffffffffffff) { revert(value0, value0) }\n let value0_1, value1_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value0 := value0_1\n value1 := value1_1\n }\n function abi_decode_tuple_t_bytes32(headStart, dataEnd) -> value0\n {\n if slt(sub(dataEnd, headStart), 32) { revert(value0, value0) }\n value0 := calldataload(headStart)\n }\n function abi_decode_tuple_t_bytes32t_array$_t_bytes32_$dyn_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4\n {\n if slt(sub(dataEnd, headStart), 96) { revert(value4, value4) }\n value0 := calldataload(headStart)\n let offset := calldataload(add(headStart, 32))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value4, value4) }\n let value1_1, value2_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value1 := value1_1\n value2 := value2_1\n let offset_1 := calldataload(add(headStart, 64))\n if gt(offset_1, _1) { revert(value4, value4) }\n let value3_1, value4_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_1), dataEnd)\n value3 := value3_1\n value4 := value4_1\n }\n function abi_decode_tuple_t_bytes32t_array$_t_bytes32_$dyn_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5, value6\n {\n if slt(sub(dataEnd, headStart), 128) { revert(value5, value5) }\n value0 := calldataload(headStart)\n let offset := calldataload(add(headStart, 32))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value5, value5) }\n let value1_1, value2_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value1 := value1_1\n value2 := value2_1\n let offset_1 := calldataload(add(headStart, 64))\n if gt(offset_1, _1) { revert(value5, value5) }\n let value3_1, value4_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_1), dataEnd)\n value3 := value3_1\n value4 := value4_1\n let offset_2 := calldataload(add(headStart, 96))\n if gt(offset_2, _1) { revert(value5, value5) }\n let value5_1, value6_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_2), dataEnd)\n value5 := value5_1\n value6 := value6_1\n }\n function abi_decode_tuple_t_bytes32t_array$_t_bytes32_$dyn_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5, value6, value7, value8\n {\n if slt(sub(dataEnd, headStart), 160) { revert(value7, value7) }\n value0 := calldataload(headStart)\n let offset := calldataload(add(headStart, 32))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value7, value7) }\n let value1_1, value2_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value1 := value1_1\n value2 := value2_1\n let offset_1 := calldataload(add(headStart, 64))\n if gt(offset_1, _1) { revert(value7, value7) }\n let value3_1, value4_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_1), dataEnd)\n value3 := value3_1\n value4 := value4_1\n let offset_2 := calldataload(add(headStart, 96))\n if gt(offset_2, _1) { revert(value7, value7) }\n let value5_1, value6_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_2), dataEnd)\n value5 := value5_1\n value6 := value6_1\n let offset_3 := calldataload(add(headStart, 128))\n if gt(offset_3, _1) { revert(value7, value7) }\n let value7_1, value8_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_3), dataEnd)\n value7 := value7_1\n value8 := value8_1\n }\n function abi_decode_tuple_t_bytes32t_array$_t_bytes32_$dyn_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptrt_bytes32t_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5, value6, value7\n {\n if slt(sub(dataEnd, headStart), 160) { revert(value4, value4) }\n value0 := calldataload(headStart)\n let offset := calldataload(add(headStart, 32))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value4, value4) }\n let value1_1, value2_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value1 := value1_1\n value2 := value2_1\n let offset_1 := calldataload(add(headStart, 64))\n if gt(offset_1, _1) { revert(value4, value4) }\n let value3_1, value4_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_1), dataEnd)\n value3 := value3_1\n value4 := value4_1\n value5 := calldataload(add(headStart, 96))\n let offset_2 := calldataload(add(headStart, 128))\n if gt(offset_2, _1) { revert(value6, value6) }\n let value6_1, value7_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_2), dataEnd)\n value6 := value6_1\n value7 := value7_1\n }\n function abi_decode_tuple_t_bytes32t_array$_t_bytes32_$dyn_calldata_ptrt_bytes32t_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5\n {\n if slt(sub(dataEnd, headStart), 128) { revert(value4, value4) }\n value0 := calldataload(headStart)\n let offset := calldataload(add(headStart, 32))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value4, value4) }\n let value1_1, value2_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value1 := value1_1\n value2 := value2_1\n value3 := calldataload(add(headStart, 64))\n let offset_1 := calldataload(add(headStart, 96))\n if gt(offset_1, _1) { revert(value4, value4) }\n let value4_1, value5_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_1), dataEnd)\n value4 := value4_1\n value5 := value5_1\n }\n function abi_decode_tuple_t_bytes32t_array$_t_bytes_calldata_ptr_$dyn_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4\n {\n if slt(sub(dataEnd, headStart), 96) { revert(value4, value4) }\n value0 := calldataload(headStart)\n let offset := calldataload(add(headStart, 32))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value4, value4) }\n let value1_1, value2_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value1 := value1_1\n value2 := value2_1\n let offset_1 := calldataload(add(headStart, 64))\n if gt(offset_1, _1) { revert(value4, value4) }\n let value3_1, value4_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_1), dataEnd)\n value3 := value3_1\n value4 := value4_1\n }\n function abi_decode_tuple_t_bytes32t_array$_t_bytes_calldata_ptr_$dyn_calldata_ptrt_array$_t_bytes_calldata_ptr_$dyn_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5, value6\n {\n if slt(sub(dataEnd, headStart), 128) { revert(value6, value6) }\n value0 := calldataload(headStart)\n let offset := calldataload(add(headStart, 32))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value6, value6) }\n let value1_1, value2_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value1 := value1_1\n value2 := value2_1\n let offset_1 := calldataload(add(headStart, 64))\n if gt(offset_1, _1) { revert(value6, value6) }\n let value3_1, value4_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_1), dataEnd)\n value3 := value3_1\n value4 := value4_1\n let offset_2 := calldataload(add(headStart, 96))\n if gt(offset_2, _1) { revert(value6, value6) }\n let value5_1, value6_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_2), dataEnd)\n value5 := value5_1\n value6 := value6_1\n }\n function abi_decode_tuple_t_bytes32t_array$_t_bytes_calldata_ptr_$dyn_calldata_ptrt_array$_t_bytes_calldata_ptr_$dyn_calldata_ptrt_array$_t_bytes_calldata_ptr_$dyn_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5, value6, value7, value8\n {\n if slt(sub(dataEnd, headStart), 160) { revert(value6, value6) }\n value0 := calldataload(headStart)\n let offset := calldataload(add(headStart, 32))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value6, value6) }\n let value1_1, value2_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value1 := value1_1\n value2 := value2_1\n let offset_1 := calldataload(add(headStart, 64))\n if gt(offset_1, _1) { revert(value6, value6) }\n let value3_1, value4_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_1), dataEnd)\n value3 := value3_1\n value4 := value4_1\n let offset_2 := calldataload(add(headStart, 96))\n if gt(offset_2, _1) { revert(value6, value6) }\n let value5_1, value6_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_2), dataEnd)\n value5 := value5_1\n value6 := value6_1\n let offset_3 := calldataload(add(headStart, 128))\n if gt(offset_3, _1) { revert(value7, value7) }\n let value7_1, value8_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_3), dataEnd)\n value7 := value7_1\n value8 := value8_1\n }\n function abi_decode_tuple_t_bytes32t_array$_t_bytes_calldata_ptr_$dyn_calldata_ptrt_array$_t_bytes_calldata_ptr_$dyn_calldata_ptrt_bytes_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5, value6, value7, value8\n {\n if slt(sub(dataEnd, headStart), 160) { revert(value6, value6) }\n value0 := calldataload(headStart)\n let offset := calldataload(add(headStart, 32))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value6, value6) }\n let value1_1, value2_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value1 := value1_1\n value2 := value2_1\n let offset_1 := calldataload(add(headStart, 64))\n if gt(offset_1, _1) { revert(value6, value6) }\n let value3_1, value4_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_1), dataEnd)\n value3 := value3_1\n value4 := value4_1\n let offset_2 := calldataload(add(headStart, 96))\n if gt(offset_2, _1) { revert(value6, value6) }\n let value5_1, value6_1 := abi_decode_t_bytes_calldata(add(headStart, offset_2), dataEnd)\n value5 := value5_1\n value6 := value6_1\n let offset_3 := calldataload(add(headStart, 128))\n if gt(offset_3, _1) { revert(value7, value7) }\n let value7_1, value8_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_3), dataEnd)\n value7 := value7_1\n value8 := value8_1\n }\n function abi_decode_tuple_t_bytes32t_array$_t_bytes_calldata_ptr_$dyn_calldata_ptrt_bytes_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5, value6\n {\n if slt(sub(dataEnd, headStart), 128) { revert(value6, value6) }\n value0 := calldataload(headStart)\n let offset := calldataload(add(headStart, 32))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value6, value6) }\n let value1_1, value2_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value1 := value1_1\n value2 := value2_1\n let offset_1 := calldataload(add(headStart, 64))\n if gt(offset_1, _1) { revert(value6, value6) }\n let value3_1, value4_1 := abi_decode_t_bytes_calldata(add(headStart, offset_1), dataEnd)\n value3 := value3_1\n value4 := value4_1\n let offset_2 := calldataload(add(headStart, 96))\n if gt(offset_2, _1) { revert(value6, value6) }\n let value5_1, value6_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_2), dataEnd)\n value5 := value5_1\n value6 := value6_1\n }\n function abi_decode_tuple_t_bytes32t_bytes32t_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3\n {\n if slt(sub(dataEnd, headStart), 96) { revert(value2, value2) }\n value0 := calldataload(headStart)\n value1 := calldataload(add(headStart, 32))\n let offset := calldataload(add(headStart, 64))\n if gt(offset, 0xffffffffffffffff) { revert(value2, value2) }\n let value2_1, value3_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value2 := value2_1\n value3 := value3_1\n }\n function abi_decode_tuple_t_bytes32t_bytes_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4\n {\n if slt(sub(dataEnd, headStart), 96) { revert(value2, value2) }\n value0 := calldataload(headStart)\n let offset := calldataload(add(headStart, 32))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value2, value2) }\n let value1_1, value2_1 := abi_decode_t_bytes_calldata(add(headStart, offset), dataEnd)\n value1 := value1_1\n value2 := value2_1\n let offset_1 := calldataload(add(headStart, 64))\n if gt(offset_1, _1) { revert(value4, value4) }\n let value3_1, value4_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_1), dataEnd)\n value3 := value3_1\n value4 := value4_1\n }\n function abi_decode_tuple_t_bytes32t_uint256t_bytes32(headStart, dataEnd) -> value0, value1, value2\n {\n if slt(sub(dataEnd, headStart), 96) { revert(value2, value2) }\n value0 := calldataload(headStart)\n value1 := calldataload(add(headStart, 32))\n value2 := calldataload(add(headStart, 64))\n }\n function abi_decode_tuple_t_bytes32t_uint256t_bytes32t_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4\n {\n if slt(sub(dataEnd, headStart), 128) { revert(value2, value2) }\n value0 := calldataload(headStart)\n value1 := calldataload(add(headStart, 32))\n value2 := calldataload(add(headStart, 64))\n let offset := calldataload(add(headStart, 96))\n if gt(offset, 0xffffffffffffffff) { revert(value4, value4) }\n let value3_1, value4_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value3 := value3_1\n value4 := value4_1\n }\n function abi_decode_tuple_t_bytes32t_uint256t_bytes32t_array$_t_bytes32_$dyn_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5, value6\n {\n if slt(sub(dataEnd, headStart), 160) { revert(value6, value6) }\n value0 := calldataload(headStart)\n value1 := calldataload(add(headStart, 32))\n value2 := calldataload(add(headStart, 64))\n let offset := calldataload(add(headStart, 96))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value6, value6) }\n let value3_1, value4_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value3 := value3_1\n value4 := value4_1\n let offset_1 := calldataload(add(headStart, 128))\n if gt(offset_1, _1) { revert(value6, value6) }\n let value5_1, value6_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_1), dataEnd)\n value5 := value5_1\n value6 := value6_1\n }\n function abi_decode_tuple_t_bytes32t_uint256t_bytes32t_bytes32t_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5\n {\n if slt(sub(dataEnd, headStart), 160) { revert(value2, value2) }\n value0 := calldataload(headStart)\n value1 := calldataload(add(headStart, 32))\n value2 := calldataload(add(headStart, 64))\n value3 := calldataload(add(headStart, 96))\n let offset := calldataload(add(headStart, 128))\n if gt(offset, 0xffffffffffffffff) { revert(value4, value4) }\n let value4_1, value5_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value4 := value4_1\n value5 := value5_1\n }\n function abi_decode_tuple_t_bytes32t_uint256t_bytes32t_bytes32t_array$_t_bytes32_$dyn_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5, value6, value7\n {\n if slt(sub(dataEnd, headStart), 192) { revert(value6, value6) }\n value0 := calldataload(headStart)\n value1 := calldataload(add(headStart, 32))\n value2 := calldataload(add(headStart, 64))\n value3 := calldataload(add(headStart, 96))\n let offset := calldataload(add(headStart, 128))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value6, value6) }\n let value4_1, value5_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value4 := value4_1\n value5 := value5_1\n let offset_1 := calldataload(add(headStart, 160))\n if gt(offset_1, _1) { revert(value6, value6) }\n let value6_1, value7_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_1), dataEnd)\n value6 := value6_1\n value7 := value7_1\n }\n function abi_decode_tuple_t_bytes32t_uint256t_bytes32t_bytes32t_bytes32t_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5, value6\n {\n if slt(sub(dataEnd, headStart), 192) { revert(value6, value6) }\n value0 := calldataload(headStart)\n value1 := calldataload(add(headStart, 32))\n value2 := calldataload(add(headStart, 64))\n value3 := calldataload(add(headStart, 96))\n value4 := calldataload(add(headStart, 128))\n let offset := calldataload(add(headStart, 160))\n if gt(offset, 0xffffffffffffffff) { revert(value6, value6) }\n let value5_1, value6_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset), dataEnd)\n value5 := value5_1\n value6 := value6_1\n }\n function abi_decode_tuple_t_bytes32t_uint256t_bytes_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5\n {\n if slt(sub(dataEnd, headStart), 128) { revert(value2, value2) }\n value0 := calldataload(headStart)\n value1 := calldataload(add(headStart, 32))\n let offset := calldataload(add(headStart, 64))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value2, value2) }\n let value2_1, value3_1 := abi_decode_t_bytes_calldata(add(headStart, offset), dataEnd)\n value2 := value2_1\n value3 := value3_1\n let offset_1 := calldataload(add(headStart, 96))\n if gt(offset_1, _1) { revert(value4, value4) }\n let value4_1, value5_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_1), dataEnd)\n value4 := value4_1\n value5 := value5_1\n }\n function abi_decode_tuple_t_bytes32t_uint256t_bytes_calldata_ptrt_array$_t_bytes_calldata_ptr_$dyn_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5, value6, value7\n {\n if slt(sub(dataEnd, headStart), 160) { revert(value6, value6) }\n value0 := calldataload(headStart)\n value1 := calldataload(add(headStart, 32))\n let offset := calldataload(add(headStart, 64))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value6, value6) }\n let value2_1, value3_1 := abi_decode_t_bytes_calldata(add(headStart, offset), dataEnd)\n value2 := value2_1\n value3 := value3_1\n let offset_1 := calldataload(add(headStart, 96))\n if gt(offset_1, _1) { revert(value6, value6) }\n let value4_1, value5_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_1), dataEnd)\n value4 := value4_1\n value5 := value5_1\n let offset_2 := calldataload(add(headStart, 128))\n if gt(offset_2, _1) { revert(value6, value6) }\n let value6_1, value7_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_2), dataEnd)\n value6 := value6_1\n value7 := value7_1\n }\n function abi_decode_tuple_t_bytes32t_uint256t_bytes_calldata_ptrt_bytes_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5, value6, value7\n {\n if slt(sub(dataEnd, headStart), 160) { revert(value6, value6) }\n value0 := calldataload(headStart)\n value1 := calldataload(add(headStart, 32))\n let offset := calldataload(add(headStart, 64))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value6, value6) }\n let value2_1, value3_1 := abi_decode_t_bytes_calldata(add(headStart, offset), dataEnd)\n value2 := value2_1\n value3 := value3_1\n let offset_1 := calldataload(add(headStart, 96))\n if gt(offset_1, _1) { revert(value6, value6) }\n let value4_1, value5_1 := abi_decode_t_bytes_calldata(add(headStart, offset_1), dataEnd)\n value4 := value4_1\n value5 := value5_1\n let offset_2 := calldataload(add(headStart, 128))\n if gt(offset_2, _1) { revert(value6, value6) }\n let value6_1, value7_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_2), dataEnd)\n value6 := value6_1\n value7 := value7_1\n }\n function abi_decode_tuple_t_bytes32t_uint256t_bytes_calldata_ptrt_bytes_calldata_ptrt_array$_t_bytes_calldata_ptr_$dyn_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5, value6, value7, value8, value9\n {\n if slt(sub(dataEnd, headStart), 192) { revert(value6, value6) }\n value0 := calldataload(headStart)\n value1 := calldataload(add(headStart, 32))\n let offset := calldataload(add(headStart, 64))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value6, value6) }\n let value2_1, value3_1 := abi_decode_t_bytes_calldata(add(headStart, offset), dataEnd)\n value2 := value2_1\n value3 := value3_1\n let offset_1 := calldataload(add(headStart, 96))\n if gt(offset_1, _1) { revert(value6, value6) }\n let value4_1, value5_1 := abi_decode_t_bytes_calldata(add(headStart, offset_1), dataEnd)\n value4 := value4_1\n value5 := value5_1\n let offset_2 := calldataload(add(headStart, 128))\n if gt(offset_2, _1) { revert(value6, value6) }\n let value6_1, value7_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_2), dataEnd)\n value6 := value6_1\n value7 := value7_1\n let offset_3 := calldataload(add(headStart, 160))\n if gt(offset_3, _1) { revert(value9, value9) }\n let value8_1, value9_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_3), dataEnd)\n value8 := value8_1\n value9 := value9_1\n }\n function abi_decode_tuple_t_bytes32t_uint256t_bytes_calldata_ptrt_bytes_calldata_ptrt_bytes_calldata_ptrt_array$_t_bytes32_$dyn_calldata_ptr(headStart, dataEnd) -> value0, value1, value2, value3, value4, value5, value6, value7, value8, value9\n {\n if slt(sub(dataEnd, headStart), 192) { revert(value6, value6) }\n value0 := calldataload(headStart)\n value1 := calldataload(add(headStart, 32))\n let offset := calldataload(add(headStart, 64))\n let _1 := 0xffffffffffffffff\n if gt(offset, _1) { revert(value6, value6) }\n let value2_1, value3_1 := abi_decode_t_bytes_calldata(add(headStart, offset), dataEnd)\n value2 := value2_1\n value3 := value3_1\n let offset_1 := calldataload(add(headStart, 96))\n if gt(offset_1, _1) { revert(value6, value6) }\n let value4_1, value5_1 := abi_decode_t_bytes_calldata(add(headStart, offset_1), dataEnd)\n value4 := value4_1\n value5 := value5_1\n let offset_2 := calldataload(add(headStart, 128))\n if gt(offset_2, _1) { revert(value6, value6) }\n let value6_1, value7_1 := abi_decode_t_bytes_calldata(add(headStart, offset_2), dataEnd)\n value6 := value6_1\n value7 := value7_1\n let offset_3 := calldataload(add(headStart, 160))\n if gt(offset_3, _1) { revert(value8, value8) }\n let value8_1, value9_1 := abi_decode_t_array$_t_bytes32_$dyn_calldata(add(headStart, offset_3), dataEnd)\n value8 := value8_1\n value9 := value9_1\n }\n function abi_decode_tuple_t_bytes_calldata_ptr(headStart, dataEnd) -> value0, value1\n {\n if slt(sub(dataEnd, headStart), 32) { revert(value0, value0) }\n let offset := calldataload(headStart)\n if gt(offset, 0xffffffffffffffff) { revert(value0, value0) }\n let value0_1, value1_1 := abi_decode_t_bytes_calldata(add(headStart, offset), dataEnd)\n value0 := value0_1\n value1 := value1_1\n }\n function abi_encode_tuple_packed_t_bytes1_t_bytes32__to_t_bytes1_t_bytes32__nonPadded_inplace_fromStack_reversed(pos, value1, value0) -> end\n {\n mstore(pos, and(value0, 0xff00000000000000000000000000000000000000000000000000000000000000))\n mstore(add(pos, 1), value1)\n end := add(pos, 33)\n }\n function abi_encode_tuple_packed_t_bytes1_t_bytes_calldata_ptr__to_t_bytes1_t_bytes_memory_ptr__nonPadded_inplace_fromStack_reversed(pos, value2, value1, value0) -> end\n {\n mstore(pos, and(value0, 0xff00000000000000000000000000000000000000000000000000000000000000))\n calldatacopy(add(pos, 1), value1, value2)\n let _1 := add(add(pos, value2), 1)\n mstore(_1, end)\n end := _1\n }\n function abi_encode_tuple_t_bool__to_t_bool__fromStack_library_reversed(headStart, value0) -> tail\n {\n tail := add(headStart, 32)\n mstore(headStart, iszero(iszero(value0)))\n }\n function abi_encode_tuple_t_bytes32__to_t_bytes32__fromStack_library_reversed(headStart, value0) -> tail\n {\n tail := add(headStart, 32)\n mstore(headStart, value0)\n }\n function abi_encode_tuple_t_stringliteral_3d4674c7a24a849f99f84bc9e7d24d02a1b1940b7124f7d651f5ad32c06dc52b__to_t_string_memory_ptr__fromStack_reversed(headStart) -> tail\n {\n mstore(headStart, 32)\n mstore(add(headStart, 32), 13)\n mstore(add(headStart, 64), \"INVALID_PROOF\")\n tail := add(headStart, 96)\n }\n function abi_encode_tuple_t_stringliteral_4e220f8b6f749b0194f20634ede0b720d5eceef378539ca2169a81f56aa833b3__to_t_string_memory_ptr__fromStack_reversed(headStart) -> tail\n {\n mstore(headStart, 32)\n mstore(add(headStart, 32), 12)\n mstore(add(headStart, 64), \"INVALID_TREE\")\n tail := add(headStart, 96)\n }\n function abi_encode_tuple_t_stringliteral_c5175c4686dd4ece4bbe16375ff3b0dfad3fdc4d632ed417d86837fc8fd294b1__to_t_string_memory_ptr__fromStack_reversed(headStart) -> tail\n {\n mstore(headStart, 32)\n mstore(add(headStart, 32), 10)\n mstore(add(headStart, 64), \"EMPTY_TREE\")\n tail := add(headStart, 96)\n }\n function abi_encode_tuple_t_stringliteral_c58dd6910b3d398979b9081d1d6e7a265ec7a7fb91e9e38230c02220af4c5217__to_t_string_memory_ptr__fromStack_reversed(headStart) -> tail\n {\n mstore(headStart, 32)\n mstore(add(headStart, 32), 15)\n mstore(add(headStart, 64), \"LENGTH_MISMATCH\")\n tail := add(headStart, 96)\n }\n function access_calldata_tail_t_bytes_calldata_ptr(base_ref, ptr_to_tail) -> addr, length\n {\n let rel_offset_of_tail := calldataload(ptr_to_tail)\n if iszero(slt(rel_offset_of_tail, add(sub(calldatasize(), base_ref), 0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe1))) { revert(addr, addr) }\n let addr_1 := add(base_ref, rel_offset_of_tail)\n length := calldataload(addr_1)\n if gt(length, 0xffffffffffffffff) { revert(addr, addr) }\n addr := add(addr_1, 0x20)\n if sgt(addr, sub(calldatasize(), length)) { revert(0, 0) }\n }\n}", "id": 22, "language": "Yul", "name": "#utility.yul" } ], "sourceMap": "100:65519:1:-:0;;;;;;;;;;;;;;;;;;;;;;;;;", "deployedSourceMap": 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"source": "// SPDX-License-Identifier: MIT\n\npragma solidity >=0.6.0 <0.8.0;\npragma experimental ABIEncoderV2;\n\nlibrary External_Merkle_Library_Sorted_Hash {\n // Hashes a and b in the order they are passed\n function hash_node(bytes32 a, bytes32 b) internal pure returns (bytes32 hash) {\n assembly {\n mstore(0x00, a)\n mstore(0x20, b)\n hash := keccak256(0x00, 0x40)\n }\n }\n\n // Hashes a and b in sorted order\n function hash_pair(bytes32 a, bytes32 b) internal pure returns (bytes32 hash) {\n hash = a < b ? hash_node(a, b) : hash_node(b, a);\n }\n\n // Counts number of set bits (1's) in 32-bit unsigned integer\n function bit_count_32(uint32 n) internal pure returns (uint32) {\n n = n - ((n >> 1) & 0x55555555);\n n = (n & 0x33333333) + ((n >> 2) & 0x33333333);\n\n return (((n + (n >> 4)) & 0xF0F0F0F) * 0x1010101) >> 24;\n }\n\n // Round 32-bit unsigned integer up to the nearest power of 2\n function round_up_to_power_of_2(uint32 n) internal pure returns (uint32) {\n if (bit_count_32(n) == 1) return n;\n\n n |= n >> 1;\n n |= n >> 2;\n n |= n >> 4;\n n |= n >> 8;\n n |= n >> 16;\n\n return n + 1;\n }\n\n // Get the Element Merkle Root for a tree with just a single bytes element in calldata\n function get_root_from_one(bytes calldata element) internal pure returns (bytes32) {\n return keccak256(abi.encodePacked(bytes1(0), element));\n }\n\n // Get the Element Merkle Root for a tree with just a single bytes32 element in calldata\n function get_root_from_one(bytes32 element) internal pure returns (bytes32) {\n return keccak256(abi.encodePacked(bytes1(0), element));\n }\n\n // Get nodes (parent of leafs) from bytes elements in calldata\n function get_nodes_from_elements(bytes[] calldata elements) internal pure returns (bytes32[] memory nodes) {\n uint256 element_count = elements.length;\n uint256 node_count = (element_count >> 1) + (element_count & 1);\n nodes = new bytes32[](node_count);\n uint256 write_index;\n uint256 left_index;\n\n while (write_index < node_count) {\n left_index = write_index << 1;\n\n if (left_index == element_count - 1) {\n nodes[write_index] = keccak256(abi.encodePacked(bytes1(0), elements[left_index]));\n break;\n }\n\n nodes[write_index++] = hash_pair(\n keccak256(abi.encodePacked(bytes1(0), elements[left_index])),\n keccak256(abi.encodePacked(bytes1(0), elements[left_index + 1]))\n );\n }\n }\n\n // Get nodes (parent of leafs) from bytes32 elements in calldata\n function get_nodes_from_elements(bytes32[] calldata elements) internal pure returns (bytes32[] memory nodes) {\n uint256 element_count = elements.length;\n uint256 node_count = (element_count >> 1) + (element_count & 1);\n nodes = new bytes32[](node_count);\n uint256 write_index;\n uint256 left_index;\n\n while (write_index < node_count) {\n left_index = write_index << 1;\n\n if (left_index == element_count - 1) {\n nodes[write_index] = keccak256(abi.encodePacked(bytes1(0), elements[left_index]));\n break;\n }\n\n nodes[write_index++] = hash_pair(\n keccak256(abi.encodePacked(bytes1(0), elements[left_index])),\n keccak256(abi.encodePacked(bytes1(0), elements[left_index + 1]))\n );\n }\n }\n\n // Get the Element Merkle Root given nodes (parent of leafs)\n function get_root_from_nodes(bytes32[] memory nodes) internal pure returns (bytes32) {\n uint256 node_count = nodes.length;\n uint256 write_index;\n uint256 left_index;\n\n while (node_count > 1) {\n left_index = write_index << 1;\n\n if (left_index == node_count - 1) {\n nodes[write_index] = nodes[left_index];\n write_index = 0;\n node_count = (node_count >> 1) + (node_count & 1);\n continue;\n }\n\n if (left_index >= node_count) {\n write_index = 0;\n node_count = (node_count >> 1) + (node_count & 1);\n continue;\n }\n\n nodes[write_index++] = hash_pair(nodes[left_index], nodes[left_index + 1]);\n }\n\n return nodes[0];\n }\n\n // Get the Element Merkle Root for a tree with several bytes elements in calldata\n function get_root_from_many(bytes[] calldata elements) internal pure returns (bytes32) {\n return get_root_from_nodes(get_nodes_from_elements(elements));\n }\n\n // Get the Element Merkle Root for a tree with several bytes32 elements in calldata\n function get_root_from_many(bytes32[] calldata elements) internal pure returns (bytes32) {\n return get_root_from_nodes(get_nodes_from_elements(elements));\n }\n\n // get_root_from_size_proof cannot be implemented with sorted hashed pairs\n\n // Get the original Element Merkle Root, given an index, a leaf, and a Single Proof\n function get_root_from_leaf_and_single_proof(\n uint256 index,\n bytes32 leaf,\n bytes32[] calldata proof\n ) internal pure returns (bytes32) {\n uint256 proof_index = proof.length - 1;\n uint256 upper_bound = uint256(proof[0]) - 1;\n\n while (proof_index > 0) {\n if (index != upper_bound || (index & 1 == 1)) {\n leaf = hash_pair(proof[proof_index], leaf);\n proof_index -= 1;\n }\n\n index >>= 1;\n upper_bound >>= 1;\n }\n\n return leaf;\n }\n\n // Get the original Element Merkle Root, given an index, a bytes element in calldata, and a Single Proof\n function get_root_from_single_proof(\n uint256 index,\n bytes calldata element,\n bytes32[] calldata proof\n ) internal pure returns (bytes32 hash) {\n hash = keccak256(abi.encodePacked(bytes1(0), element));\n hash = get_root_from_leaf_and_single_proof(index, hash, proof);\n }\n\n // Get the original Element Merkle Root, given an index, a bytes32 element, and a Single Proof\n function get_root_from_single_proof(\n uint256 index,\n bytes32 element,\n bytes32[] calldata proof\n ) internal pure returns (bytes32 hash) {\n hash = keccak256(abi.encodePacked(bytes1(0), element));\n hash = get_root_from_leaf_and_single_proof(index, hash, proof);\n }\n\n // Get the original and updated Element Merkle Root, given an index, a leaf, an update leaf, and a Single Proof\n function get_roots_from_leaf_and_single_proof_update(\n uint256 index,\n bytes32 leaf,\n bytes32 update_leaf,\n bytes32[] calldata proof\n ) internal pure returns (bytes32 scratch, bytes32) {\n uint256 proof_index = proof.length - 1;\n uint256 upper_bound = uint256(proof[0]) - 1;\n\n while (proof_index > 0) {\n if ((index != upper_bound) || (index & 1 == 1)) {\n scratch = proof[proof_index];\n proof_index -= 1;\n leaf = hash_pair(scratch, leaf);\n update_leaf = hash_pair(scratch, update_leaf);\n }\n\n index >>= 1;\n upper_bound >>= 1;\n }\n\n return (leaf, update_leaf);\n }\n\n // Get the original and updated Element Merkle Root,\n // given an index, a bytes element in calldata, a bytes update element in calldata, and a Single Proof\n function get_roots_from_single_proof_update(\n uint256 index,\n bytes calldata element,\n bytes calldata update_element,\n bytes32[] calldata proof\n ) internal pure returns (bytes32 hash, bytes32 update_hash) {\n hash = keccak256(abi.encodePacked(bytes1(0), element));\n update_hash = keccak256(abi.encodePacked(bytes1(0), update_element));\n return get_roots_from_leaf_and_single_proof_update(index, hash, update_hash, proof);\n }\n\n // Get the original and updated Element Merkle Root, given an index, a bytes32 element, a bytes32 update element, and a Single Proof\n function get_roots_from_single_proof_update(\n uint256 index,\n bytes32 element,\n bytes32 update_element,\n bytes32[] calldata proof\n ) internal pure returns (bytes32 hash, bytes32 update_hash) {\n hash = keccak256(abi.encodePacked(bytes1(0), element));\n update_hash = keccak256(abi.encodePacked(bytes1(0), update_element));\n return get_roots_from_leaf_and_single_proof_update(index, hash, update_hash, proof);\n }\n\n // get_indices_from_multi_proof cannot be implemented with sorted hashed pairs\n\n // Get leafs from bytes elements in calldata, in reverse order\n function get_reversed_leafs_from_elements(bytes[] calldata elements) internal pure returns (bytes32[] memory leafs) {\n uint256 element_count = elements.length;\n leafs = new bytes32[](element_count);\n uint256 read_index = element_count - 1;\n uint256 write_index;\n\n while (write_index < element_count) {\n leafs[write_index] = keccak256(abi.encodePacked(bytes1(0), elements[read_index]));\n write_index += 1;\n read_index -= 1;\n }\n }\n\n // Get leafs from bytes32 elements in calldata, in reverse order\n function get_reversed_leafs_from_elements(bytes32[] calldata elements)\n internal\n pure\n returns (bytes32[] memory leafs)\n {\n uint256 element_count = elements.length;\n leafs = new bytes32[](element_count);\n uint256 read_index = element_count - 1;\n uint256 write_index;\n\n while (write_index < element_count) {\n leafs[write_index] = keccak256(abi.encodePacked(bytes1(0), elements[read_index]));\n write_index += 1;\n read_index -= 1;\n }\n }\n\n // Get the original Element Merkle Root, given leafs and an Existence Multi Proof\n function get_root_from_leafs_and_multi_proof(bytes32[] memory leafs, bytes32[] calldata proof)\n internal\n pure\n returns (bytes32 right)\n {\n uint256 leaf_count = leafs.length;\n uint256 read_index;\n uint256 write_index;\n uint256 proof_index = 3;\n bytes32 bit_check = 0x0000000000000000000000000000000000000000000000000000000000000001;\n bytes32 flags = proof[1];\n bytes32 skips = proof[2];\n\n while (true) {\n if (skips & bit_check == bit_check) {\n if (flags & bit_check == bit_check) return leafs[(write_index == 0 ? leaf_count : write_index) - 1];\n\n leafs[write_index] = leafs[read_index];\n\n read_index = (read_index + 1) % leaf_count;\n write_index = (write_index + 1) % leaf_count;\n bit_check <<= 1;\n continue;\n }\n\n right = (flags & bit_check == bit_check) ? leafs[read_index++] : proof[proof_index++];\n\n read_index %= leaf_count;\n\n leafs[write_index] = hash_pair(right, leafs[read_index]);\n\n read_index = (read_index + 1) % leaf_count;\n write_index = (write_index + 1) % leaf_count;\n bit_check <<= 1;\n }\n }\n\n // Get the original Element Merkle Root, given bytes elements in calldata and an Existence Multi Proof\n function get_root_from_multi_proof(bytes[] calldata elements, bytes32[] calldata proof)\n internal\n pure\n returns (bytes32)\n {\n return get_root_from_leafs_and_multi_proof(get_reversed_leafs_from_elements(elements), proof);\n }\n\n // Get the original Element Merkle Root, given bytes32 elements in calldata and an Existence Multi Proof\n function get_root_from_multi_proof(bytes32[] calldata elements, bytes32[] calldata proof)\n internal\n pure\n returns (bytes32)\n {\n return get_root_from_leafs_and_multi_proof(get_reversed_leafs_from_elements(elements), proof);\n }\n\n // Get current and update leafs from current bytes elements in calldata and update bytes elements in calldata, in reverse order\n function get_reversed_leafs_from_current_and_update_elements(\n bytes[] calldata elements,\n bytes[] calldata update_elements\n ) internal pure returns (bytes32[] memory leafs, bytes32[] memory update_leafs) {\n uint256 element_count = elements.length;\n require(update_elements.length == element_count, \"LENGTH_MISMATCH\");\n\n leafs = new bytes32[](element_count);\n update_leafs = new bytes32[](element_count);\n uint256 read_index = element_count - 1;\n uint256 write_index;\n\n while (write_index < element_count) {\n leafs[write_index] = keccak256(abi.encodePacked(bytes1(0), elements[read_index]));\n update_leafs[write_index] = keccak256(abi.encodePacked(bytes1(0), update_elements[read_index]));\n write_index += 1;\n read_index -= 1;\n }\n }\n\n // Get current and update leafs from current bytes32 elements in calldata and update bytes32 elements in calldata, in reverse order\n function get_reversed_leafs_from_current_and_update_elements(\n bytes32[] calldata elements,\n bytes32[] calldata update_elements\n ) internal pure returns (bytes32[] memory leafs, bytes32[] memory update_leafs) {\n uint256 element_count = elements.length;\n require(update_elements.length == element_count, \"LENGTH_MISMATCH\");\n\n leafs = new bytes32[](element_count);\n update_leafs = new bytes32[](element_count);\n uint256 read_index = element_count - 1;\n uint256 write_index;\n\n while (write_index < element_count) {\n leafs[write_index] = keccak256(abi.encodePacked(bytes1(0), elements[read_index]));\n update_leafs[write_index] = keccak256(abi.encodePacked(bytes1(0), update_elements[read_index]));\n write_index += 1;\n read_index -= 1;\n }\n }\n\n // Get the original and updated Element Merkle Root, given leafs, update leafs, and an Existence Multi Proof\n function get_roots_from_leafs_and_multi_proof_update(\n bytes32[] memory leafs,\n bytes32[] memory update_leafs,\n bytes32[] calldata proof\n ) internal pure returns (bytes32 flags, bytes32 skips) {\n uint256 leaf_count = update_leafs.length;\n uint256 read_index;\n uint256 write_index;\n uint256 proof_index = 3;\n bytes32 bit_check = 0x0000000000000000000000000000000000000000000000000000000000000001;\n flags = proof[1];\n skips = proof[2];\n bytes32 scratch;\n uint256 scratch_2;\n\n while (true) {\n if (skips & bit_check == bit_check) {\n if (flags & bit_check == bit_check) {\n read_index = (write_index == 0 ? leaf_count : write_index) - 1;\n\n return (leafs[read_index], update_leafs[read_index]);\n }\n\n leafs[write_index] = leafs[read_index];\n update_leafs[write_index] = update_leafs[read_index];\n\n read_index = (read_index + 1) % leaf_count;\n write_index = (write_index + 1) % leaf_count;\n bit_check <<= 1;\n continue;\n }\n\n if (flags & bit_check == bit_check) {\n scratch_2 = (read_index + 1) % leaf_count;\n leafs[write_index] = hash_pair(leafs[read_index], leafs[scratch_2]);\n update_leafs[write_index] = hash_pair(update_leafs[read_index], update_leafs[scratch_2]);\n read_index += 2;\n } else {\n scratch = proof[proof_index++];\n leafs[write_index] = hash_pair(scratch, leafs[read_index]);\n update_leafs[write_index] = hash_pair(scratch, update_leafs[read_index]);\n read_index += 1;\n }\n\n read_index %= leaf_count;\n write_index = (write_index + 1) % leaf_count;\n bit_check <<= 1;\n }\n }\n\n // Get the original and updated Element Merkle Root,\n // given bytes elements in calldata, bytes update elements in calldata, and an Existence Multi Proof\n function get_roots_from_multi_proof_update(\n bytes[] calldata elements,\n bytes[] calldata update_elements,\n bytes32[] calldata proof\n ) internal pure returns (bytes32, bytes32) {\n (bytes32[] memory leafs, bytes32[] memory update_leafs) = get_reversed_leafs_from_current_and_update_elements(\n elements,\n update_elements\n );\n return get_roots_from_leafs_and_multi_proof_update(leafs, update_leafs, proof);\n }\n\n // Get the original and updated Element Merkle Root,\n // given bytes32 elements in calldata, bytes32 update elements in calldata, and an Existence Multi Proof\n function get_roots_from_multi_proof_update(\n bytes32[] calldata elements,\n bytes32[] calldata update_elements,\n bytes32[] calldata proof\n ) internal pure returns (bytes32, bytes32) {\n (bytes32[] memory leafs, bytes32[] memory update_leafs) = get_reversed_leafs_from_current_and_update_elements(\n elements,\n update_elements\n );\n return get_roots_from_leafs_and_multi_proof_update(leafs, update_leafs, proof);\n }\n\n // Get the original Element Merkle Root, given an Append Proof\n function get_root_from_append_proof(bytes32[] calldata proof) internal pure returns (bytes32 hash) {\n uint256 proof_index = bit_count_32(uint32(uint256(proof[0])));\n hash = proof[proof_index];\n\n while (proof_index > 1) {\n proof_index -= 1;\n hash = hash_pair(proof[proof_index], hash);\n }\n }\n\n // Get the original and updated Element Merkle Root, given append leaf and an Append Proof\n function get_roots_from_leaf_and_append_proof_single_append(bytes32 append_leaf, bytes32[] calldata proof)\n internal\n pure\n returns (bytes32 hash, bytes32 scratch)\n {\n uint256 proof_index = bit_count_32(uint32(uint256(proof[0])));\n hash = proof[proof_index];\n append_leaf = hash_pair(hash, append_leaf);\n\n while (proof_index > 1) {\n proof_index -= 1;\n scratch = proof[proof_index];\n append_leaf = hash_pair(scratch, append_leaf);\n hash = hash_pair(scratch, hash);\n }\n\n return (hash, append_leaf);\n }\n\n // Get the original and updated Element Merkle Root, given a bytes append element in calldata and an Append Proof\n function get_roots_from_append_proof_single_append(bytes calldata append_element, bytes32[] calldata proof)\n internal\n pure\n returns (bytes32 append_leaf, bytes32)\n {\n append_leaf = keccak256(abi.encodePacked(bytes1(0), append_element));\n return get_roots_from_leaf_and_append_proof_single_append(append_leaf, proof);\n }\n\n // Get the original and updated Element Merkle Root, given a bytes32 append element in calldata and an Append Proof\n function get_roots_from_append_proof_single_append(bytes32 append_element, bytes32[] calldata proof)\n internal\n pure\n returns (bytes32 append_leaf, bytes32)\n {\n append_leaf = keccak256(abi.encodePacked(bytes1(0), append_element));\n return get_roots_from_leaf_and_append_proof_single_append(append_leaf, proof);\n }\n\n // Get leafs from bytes elements in calldata\n function get_leafs_from_elements(bytes[] calldata elements) internal pure returns (bytes32[] memory leafs) {\n uint256 element_count = elements.length;\n leafs = new bytes32[](element_count);\n\n while (element_count > 0) {\n element_count -= 1;\n leafs[element_count] = keccak256(abi.encodePacked(bytes1(0), elements[element_count]));\n }\n }\n\n // Get leafs from bytes32 elements in calldata\n function get_leafs_from_elements(bytes32[] calldata elements) internal pure returns (bytes32[] memory leafs) {\n uint256 element_count = elements.length;\n leafs = new bytes32[](element_count);\n\n while (element_count > 0) {\n element_count -= 1;\n leafs[element_count] = keccak256(abi.encodePacked(bytes1(0), elements[element_count]));\n }\n }\n\n // Get the original and updated Element Merkle Root, given append leafs and an Append Proof\n function get_roots_from_leafs_and_append_proof_multi_append(bytes32[] memory append_leafs, bytes32[] calldata proof)\n internal\n pure\n returns (bytes32 hash, bytes32)\n {\n uint256 leaf_count = append_leafs.length;\n uint256 write_index;\n uint256 read_index;\n uint256 offset = uint256(proof[0]);\n uint256 index = offset;\n\n // reuse leaf_count variable as upper_bound, since leaf_count no longer needed\n leaf_count += offset;\n leaf_count -= 1;\n uint256 proof_index = bit_count_32(uint32(offset));\n hash = proof[proof_index];\n\n while (leaf_count > 0) {\n if ((write_index == 0) && (index & 1 == 1)) {\n append_leafs[0] = hash_pair(proof[proof_index], append_leafs[read_index]);\n proof_index -= 1;\n read_index += 1;\n\n if (proof_index > 0) {\n hash = hash_pair(proof[proof_index], hash);\n }\n\n write_index = 1;\n index += 1;\n } else if (index < leaf_count) {\n append_leafs[write_index++] = hash_pair(append_leafs[read_index++], append_leafs[read_index]);\n read_index += 1;\n index += 2;\n }\n\n if (index >= leaf_count) {\n if (index == leaf_count) {\n append_leafs[write_index] = append_leafs[read_index];\n }\n\n read_index = 0;\n write_index = 0;\n leaf_count >>= 1;\n offset >>= 1;\n index = offset;\n }\n }\n\n return (hash, append_leafs[0]);\n }\n\n // Get the original and updated Element Merkle Root, given bytes append elements in calldata and an Append Proof\n function get_roots_from_append_proof_multi_append(bytes[] calldata append_elements, bytes32[] calldata proof)\n internal\n pure\n returns (bytes32, bytes32)\n {\n return get_roots_from_leafs_and_append_proof_multi_append(get_leafs_from_elements(append_elements), proof);\n }\n\n // Get the original and updated Element Merkle Root, given bytes32 append elements in calldata and an Append Proof\n function get_roots_from_append_proof_multi_append(bytes32[] calldata append_elements, bytes32[] calldata proof)\n internal\n pure\n returns (bytes32, bytes32)\n {\n return get_roots_from_leafs_and_append_proof_multi_append(get_leafs_from_elements(append_elements), proof);\n }\n\n // Get the updated Element Merkle Root, given an append leaf and an Append Proof\n function get_new_root_from_leafs_and_append_proof_single_append(bytes32 append_leaf, bytes32[] memory proof)\n internal\n pure\n returns (bytes32 append_hash)\n {\n uint256 proof_index = bit_count_32(uint32(uint256(proof[0])));\n append_hash = hash_pair(proof[proof_index], append_leaf);\n\n while (proof_index > 1) {\n proof_index -= 1;\n append_hash = hash_pair(proof[proof_index], append_hash);\n }\n }\n\n // Get the updated Element Merkle Root, given a bytes append elements in calldata and an Append Proof\n function get_new_root_from_append_proof_single_append(bytes calldata append_element, bytes32[] memory proof)\n internal\n pure\n returns (bytes32 append_leaf)\n {\n append_leaf = keccak256(abi.encodePacked(bytes1(0), append_element));\n return get_new_root_from_leafs_and_append_proof_single_append(append_leaf, proof);\n }\n\n // Get the updated Element Merkle Root, given a bytes32 append elements in calldata and an Append Proof\n function get_new_root_from_append_proof_single_append(bytes32 append_element, bytes32[] memory proof)\n internal\n pure\n returns (bytes32 append_leaf)\n {\n append_leaf = keccak256(abi.encodePacked(bytes1(0), append_element));\n return get_new_root_from_leafs_and_append_proof_single_append(append_leaf, proof);\n }\n\n // Get the updated Element Merkle Root, given append leafs and an Append Proof\n function get_new_root_from_leafs_and_append_proof_multi_append(bytes32[] memory append_leafs, bytes32[] memory proof)\n internal\n pure\n returns (bytes32)\n {\n uint256 leaf_count = append_leafs.length;\n uint256 write_index;\n uint256 read_index;\n uint256 offset = uint256(proof[0]);\n uint256 index = offset;\n\n // reuse leaf_count variable as upper_bound, since leaf_count no longer needed\n leaf_count += offset;\n leaf_count -= 1;\n uint256 proof_index = proof.length - 1;\n\n while (leaf_count > 0) {\n if ((write_index == 0) && (index & 1 == 1)) {\n append_leafs[0] = hash_pair(proof[proof_index], append_leafs[read_index]);\n\n read_index += 1;\n proof_index -= 1;\n write_index = 1;\n index += 1;\n } else if (index < leaf_count) {\n append_leafs[write_index++] = hash_pair(append_leafs[read_index++], append_leafs[read_index++]);\n\n index += 2;\n }\n\n if (index >= leaf_count) {\n if (index == leaf_count) {\n append_leafs[write_index] = append_leafs[read_index];\n }\n\n read_index = 0;\n write_index = 0;\n leaf_count >>= 1;\n offset >>= 1;\n index = offset;\n }\n }\n\n return append_leafs[0];\n }\n\n // Get the updated Element Merkle Root, given bytes append elements in calldata and an Append Proof\n function get_new_root_from_append_proof_multi_append(bytes[] calldata append_elements, bytes32[] memory proof)\n internal\n pure\n returns (bytes32)\n {\n return get_new_root_from_leafs_and_append_proof_multi_append(get_leafs_from_elements(append_elements), proof);\n }\n\n // Get the updated Element Merkle Root, given bytes32 append elements in calldata and an Append Proof\n function get_new_root_from_append_proof_multi_append(bytes32[] calldata append_elements, bytes32[] memory proof)\n internal\n pure\n returns (bytes32)\n {\n return get_new_root_from_leafs_and_append_proof_multi_append(get_leafs_from_elements(append_elements), proof);\n }\n\n // Get the original Element Merkle Root and derive Append Proof, given an index, an append leaf, and a Single Proof\n function get_append_proof_from_leaf_and_single_proof(\n uint256 index,\n bytes32 leaf,\n bytes32[] calldata proof\n ) internal pure returns (bytes32 append_hash, bytes32[] memory append_proof) {\n uint256 proof_index = proof.length - 1;\n uint256 append_node_index = uint256(proof[0]);\n uint256 upper_bound = append_node_index - 1;\n uint256 append_proof_index = bit_count_32(uint32(append_node_index)) + 1;\n append_proof = new bytes32[](append_proof_index);\n append_proof[0] = bytes32(append_node_index);\n bytes32 scratch;\n\n while (proof_index > 0) {\n if (index != upper_bound || (index & 1 == 1)) {\n scratch = proof[proof_index];\n leaf = hash_pair(scratch, leaf);\n\n if (append_node_index & 1 == 1) {\n append_proof_index -= 1;\n append_proof[append_proof_index] = scratch;\n append_hash = hash_pair(scratch, append_hash);\n }\n\n proof_index -= 1;\n } else if (append_node_index & 1 == 1) {\n append_proof_index -= 1;\n append_proof[append_proof_index] = leaf;\n append_hash = leaf;\n }\n\n index >>= 1;\n upper_bound >>= 1;\n append_node_index >>= 1;\n }\n\n require(append_proof_index == 2 || append_hash == leaf, \"INVALID_PROOF\");\n\n if (append_proof_index == 2) {\n append_proof[1] = leaf;\n }\n }\n\n // Get the original Element Merkle Root and derive Append Proof, given an index, a bytes element in calldata, and a Single Proof\n function get_append_proof_from_single_proof(\n uint256 index,\n bytes calldata element,\n bytes32[] calldata proof\n ) internal pure returns (bytes32 leaf, bytes32[] memory) {\n leaf = keccak256(abi.encodePacked(bytes1(0), element));\n return get_append_proof_from_leaf_and_single_proof(index, leaf, proof);\n }\n\n // Get the original Element Merkle Root and derive Append Proof, given an index, a bytes32 element, and a Single Proof\n function get_append_proof_from_single_proof(\n uint256 index,\n bytes32 element,\n bytes32[] calldata proof\n ) internal pure returns (bytes32 leaf, bytes32[] memory) {\n leaf = keccak256(abi.encodePacked(bytes1(0), element));\n return get_append_proof_from_leaf_and_single_proof(index, leaf, proof);\n }\n\n // Get the original Element Merkle Root and derive Append Proof, given an index, a leaf, an update leaf, and a Single Proof\n function get_append_proof_from_leaf_and_single_proof_update(\n uint256 index,\n bytes32 leaf,\n bytes32 update_leaf,\n bytes32[] calldata proof\n ) internal pure returns (bytes32 append_hash, bytes32[] memory append_proof) {\n uint256 proof_index = proof.length - 1;\n uint256 append_node_index = uint256(proof[0]);\n uint256 upper_bound = append_node_index - 1;\n uint256 append_proof_index = bit_count_32(uint32(append_node_index)) + 1;\n append_proof = new bytes32[](append_proof_index);\n append_proof[0] = bytes32(append_node_index);\n bytes32 scratch;\n\n while (proof_index > 0) {\n if (index != upper_bound || (index & 1 == 1)) {\n scratch = proof[proof_index];\n leaf = hash_pair(scratch, leaf);\n update_leaf = hash_pair(scratch, update_leaf);\n\n if (append_node_index & 1 == 1) {\n append_proof_index -= 1;\n append_proof[append_proof_index] = scratch;\n append_hash = hash_pair(scratch, append_hash);\n }\n\n proof_index -= 1;\n } else if (append_node_index & 1 == 1) {\n append_proof_index -= 1;\n append_proof[append_proof_index] = update_leaf;\n append_hash = leaf;\n }\n\n index >>= 1;\n upper_bound >>= 1;\n append_node_index >>= 1;\n }\n\n require(append_proof_index == 2 || append_hash == leaf, \"INVALID_PROOF\");\n\n if (append_proof_index == 2) {\n append_proof[1] = update_leaf;\n }\n }\n\n // Get the original Element Merkle Root and derive Append Proof,\n // given an index, a bytes element in calldata, a bytes update element in calldata, and a Single Proof\n function get_append_proof_from_single_proof_update(\n uint256 index,\n bytes calldata element,\n bytes calldata update_element,\n bytes32[] calldata proof\n ) internal pure returns (bytes32 leaf, bytes32[] memory) {\n leaf = keccak256(abi.encodePacked(bytes1(0), element));\n bytes32 update_leaf = keccak256(abi.encodePacked(bytes1(0), update_element));\n return get_append_proof_from_leaf_and_single_proof_update(index, leaf, update_leaf, proof);\n }\n\n // Get the original Element Merkle Root and derive Append Proof,\n // given an index, a bytes32 element, a bytes32 update element, and a Single Proof\n function get_append_proof_from_single_proof_update(\n uint256 index,\n bytes32 element,\n bytes32 update_element,\n bytes32[] calldata proof\n ) internal pure returns (bytes32 leaf, bytes32[] memory) {\n leaf = keccak256(abi.encodePacked(bytes1(0), element));\n bytes32 update_leaf = keccak256(abi.encodePacked(bytes1(0), update_element));\n return get_append_proof_from_leaf_and_single_proof_update(index, leaf, update_leaf, proof);\n }\n\n // Hashes leaf at read index and next index (circular) to write index\n function hash_within_leafs(\n bytes32[] memory leafs,\n uint256 write_index,\n uint256 read_index,\n uint256 leaf_count\n ) internal pure {\n leafs[write_index] = hash_pair(leafs[read_index], leafs[(read_index + 1) % leaf_count]);\n }\n\n // Hashes value with leaf at read index to write index\n function hash_with_leafs(\n bytes32[] memory leafs,\n bytes32 value,\n uint256 write_index,\n uint256 read_index\n ) internal pure {\n leafs[write_index] = hash_pair(value, leafs[read_index]);\n }\n\n // Get the original Element Merkle Root and derive Append Proof, given leafs and an Existence Multi Proof\n function get_append_proof_from_leafs_and_multi_proof(bytes32[] memory leafs, bytes32[] calldata proof)\n internal\n pure\n returns (bytes32 append_hash, bytes32[] memory append_proof)\n {\n uint256 leaf_count = leafs.length;\n uint256 read_index;\n uint256 write_index;\n uint256 proof_index = 3;\n uint256 append_node_index = uint256(proof[0]);\n uint256 append_proof_index = uint256(bit_count_32(uint32(append_node_index))) + 1;\n append_proof = new bytes32[](append_proof_index);\n append_proof[0] = bytes32(append_node_index);\n bytes32 bit_check = 0x0000000000000000000000000000000000000000000000000000000000000001;\n bytes32 flags = proof[1];\n bytes32 skips = proof[2];\n uint256 read_index_of_append_node;\n\n while (true) {\n if (skips & bit_check == bit_check) {\n if (flags & bit_check == bit_check) {\n read_index = (write_index == 0 ? leaf_count : write_index) - 1;\n\n // reuse flags as scratch variable\n flags = leafs[read_index];\n\n require(append_proof_index == 2 || append_hash == flags, \"INVALID_PROOF\");\n\n if (append_proof_index == 2) {\n append_proof[1] = flags;\n }\n\n return (append_hash, append_proof);\n }\n\n if (append_node_index & 1 == 1) {\n append_proof_index -= 1;\n append_hash = leafs[read_index]; // TODO scratch this leafs[read_index] above\n append_proof[append_proof_index] = leafs[read_index];\n }\n\n read_index_of_append_node = write_index;\n append_node_index >>= 1;\n\n leafs[write_index] = leafs[read_index];\n\n read_index = (read_index + 1) % leaf_count;\n write_index = (write_index + 1) % leaf_count;\n bit_check <<= 1;\n continue;\n }\n\n if (read_index_of_append_node == read_index) {\n if (append_node_index & 1 == 1) {\n append_proof_index -= 1;\n\n if (flags & bit_check == bit_check) {\n // reuse read_index_of_append_node as temporary scratch variable\n read_index_of_append_node = (read_index + 1) % leaf_count;\n\n append_hash = hash_pair(leafs[read_index_of_append_node], append_hash);\n append_proof[append_proof_index] = leafs[read_index_of_append_node];\n } else {\n append_hash = hash_pair(proof[proof_index], append_hash);\n append_proof[append_proof_index] = proof[proof_index];\n }\n }\n\n read_index_of_append_node = write_index;\n append_node_index >>= 1;\n }\n\n if (flags & bit_check == bit_check) {\n hash_within_leafs(leafs, write_index, read_index, leaf_count);\n read_index += 2;\n } else {\n hash_with_leafs(leafs, proof[proof_index], write_index, read_index);\n proof_index += 1;\n read_index += 1;\n }\n\n read_index %= leaf_count;\n write_index = (write_index + 1) % leaf_count;\n bit_check <<= 1;\n }\n }\n\n // Get the original Element Merkle Root and derive Append Proof, given bytes elements in calldata and an Existence Multi Proof\n function get_append_proof_from_multi_proof(bytes[] calldata elements, bytes32[] calldata proof)\n internal\n pure\n returns (bytes32, bytes32[] memory)\n {\n return get_append_proof_from_leafs_and_multi_proof(get_reversed_leafs_from_elements(elements), proof);\n }\n\n // Get the original Element Merkle Root and derive Append Proof, given bytes32 elements in calldata and an Existence Multi Proof\n function get_append_proof_from_multi_proof(bytes32[] calldata elements, bytes32[] calldata proof)\n internal\n pure\n returns (bytes32, bytes32[] memory)\n {\n return get_append_proof_from_leafs_and_multi_proof(get_reversed_leafs_from_elements(elements), proof);\n }\n\n // Get combined current and update leafs from current bytes elements in calldata and update bytes elements in calldata, in reverse order\n function get_reversed_combined_leafs_from_current_and_update_elements(\n bytes[] calldata elements,\n bytes[] calldata update_elements\n ) internal pure returns (bytes32[] memory combined_leafs) {\n uint256 element_count = elements.length;\n require(update_elements.length == element_count, \"LENGTH_MISMATCH\");\n\n combined_leafs = new bytes32[](element_count << 1);\n uint256 read_index = element_count - 1;\n uint256 write_index;\n\n while (write_index < element_count) {\n combined_leafs[write_index] = keccak256(abi.encodePacked(bytes1(0), elements[read_index]));\n combined_leafs[element_count + write_index] = keccak256(abi.encodePacked(bytes1(0), update_elements[read_index]));\n write_index += 1;\n read_index -= 1;\n }\n }\n\n // Get combined current and update leafs from current bytes32 elements in calldata and update bytes32 elements in calldata, in reverse order\n function get_reversed_combined_leafs_from_current_and_update_elements(\n bytes32[] calldata elements,\n bytes32[] calldata update_elements\n ) internal pure returns (bytes32[] memory combined_leafs) {\n uint256 element_count = elements.length;\n require(update_elements.length == element_count, \"LENGTH_MISMATCH\");\n\n combined_leafs = new bytes32[](element_count << 1);\n uint256 read_index = element_count - 1;\n uint256 write_index;\n\n while (write_index < element_count) {\n combined_leafs[write_index] = keccak256(abi.encodePacked(bytes1(0), elements[read_index]));\n combined_leafs[element_count + write_index] = keccak256(abi.encodePacked(bytes1(0), update_elements[read_index]));\n write_index += 1;\n read_index -= 1;\n }\n }\n\n // Copy leaf and update leaf at read indices and to write indices\n function copy_within_combined_leafs(\n bytes32[] memory combined_leafs,\n uint256 write_index,\n uint256 read_index,\n uint256 leaf_count\n ) internal pure {\n combined_leafs[write_index] = combined_leafs[read_index];\n combined_leafs[leaf_count + write_index] = combined_leafs[leaf_count + read_index];\n }\n\n // Hashes leaf and update leaf at read indices and next indices (circular) to write indices\n function hash_within_combined_leafs(\n bytes32[] memory combined_leafs,\n uint256 write_index,\n uint256 read_index,\n uint256 leaf_count\n ) internal pure {\n uint256 scratch = (read_index + 1) % leaf_count;\n combined_leafs[write_index] = hash_pair(combined_leafs[read_index], combined_leafs[scratch]);\n combined_leafs[leaf_count + write_index] = hash_pair(\n combined_leafs[leaf_count + read_index],\n combined_leafs[leaf_count + scratch]\n );\n }\n\n // Hashes value with leaf and update leaf at read indices to write indices\n function hash_with_combined_leafs(\n bytes32[] memory combined_leafs,\n bytes32 value,\n uint256 write_index,\n uint256 read_index,\n uint256 leaf_count\n ) internal pure {\n combined_leafs[write_index] = hash_pair(value, combined_leafs[read_index]);\n combined_leafs[leaf_count + write_index] = hash_pair(value, combined_leafs[leaf_count + read_index]);\n }\n\n // Get the original Element Merkle Root and derive Append Proof, given combined leafs and update leafs and an Existence Multi Proof\n function get_append_proof_from_leafs_and_multi_proof_update(bytes32[] memory combined_leafs, bytes32[] calldata proof)\n internal\n pure\n returns (bytes32 append_hash, bytes32[] memory append_proof)\n {\n uint256 leaf_count = combined_leafs.length >> 1;\n uint256 read_index;\n uint256 write_index;\n uint256 read_index_of_append_node;\n uint256 proof_index = 3;\n uint256 append_node_index = uint256(proof[0]);\n uint256 append_proof_index = bit_count_32(uint32(append_node_index)) + 1;\n append_proof = new bytes32[](append_proof_index);\n append_proof[0] = bytes32(append_node_index);\n bytes32 flags = proof[1];\n bytes32 skips = proof[2];\n bytes32 bit_check = 0x0000000000000000000000000000000000000000000000000000000000000001;\n\n while (true) {\n if (skips & bit_check == bit_check) {\n if (flags & bit_check == bit_check) {\n read_index = (write_index == 0 ? leaf_count : write_index) - 1;\n\n // reuse flags as scratch variable\n flags = combined_leafs[read_index];\n\n require(append_proof_index == 2 || append_hash == flags, \"INVALID_PROOF\");\n\n if (append_proof_index == 2) {\n append_proof[1] = combined_leafs[leaf_count + read_index];\n }\n\n return (flags, append_proof);\n }\n\n if (append_node_index & 1 == 1) {\n append_proof_index -= 1;\n append_hash = combined_leafs[read_index];\n append_proof[append_proof_index] = combined_leafs[leaf_count + read_index];\n }\n\n read_index_of_append_node = write_index;\n append_node_index >>= 1;\n\n combined_leafs[write_index] = combined_leafs[read_index];\n combined_leafs[leaf_count + write_index] = combined_leafs[leaf_count + read_index];\n\n read_index = (read_index + 1) % leaf_count;\n write_index = (write_index + 1) % leaf_count;\n bit_check <<= 1;\n continue;\n }\n\n if (read_index_of_append_node == read_index) {\n if (append_node_index & 1 == 1) {\n append_proof_index -= 1;\n\n if (flags & bit_check == bit_check) {\n // use read_index_of_append_node as temporary scratch\n read_index_of_append_node = (read_index + 1) % leaf_count;\n\n append_hash = hash_pair(combined_leafs[read_index_of_append_node], append_hash);\n append_proof[append_proof_index] = combined_leafs[leaf_count + read_index_of_append_node];\n } else {\n append_hash = hash_pair(proof[proof_index], append_hash);\n append_proof[append_proof_index] = proof[proof_index];\n }\n }\n\n read_index_of_append_node = write_index;\n append_node_index >>= 1;\n }\n\n if (flags & bit_check == bit_check) {\n hash_within_combined_leafs(combined_leafs, write_index, read_index, leaf_count);\n read_index += 2;\n } else {\n hash_with_combined_leafs(combined_leafs, proof[proof_index], write_index, read_index, leaf_count);\n proof_index += 1;\n read_index += 1;\n }\n\n read_index %= leaf_count;\n write_index = (write_index + 1) % leaf_count;\n bit_check <<= 1;\n }\n }\n\n // Get the original Element Merkle Root and derive Append Proof,\n // given bytes elements in calldata, bytes update elements in calldata, and an Existence Multi Proof\n function get_append_proof_from_multi_proof_update(\n bytes[] calldata elements,\n bytes[] calldata update_elements,\n bytes32[] calldata proof\n ) internal pure returns (bytes32, bytes32[] memory) {\n return\n get_append_proof_from_leafs_and_multi_proof_update(\n get_reversed_combined_leafs_from_current_and_update_elements(elements, update_elements),\n proof\n );\n }\n\n // Get the original Element Merkle Root and derive Append Proof,\n // given bytes32 elements in calldata, bytes32 update elements in calldata, and an Existence Multi Proof\n function get_append_proof_from_multi_proof_update(\n bytes32[] calldata elements,\n bytes32[] calldata update_elements,\n bytes32[] calldata proof\n ) internal pure returns (bytes32, bytes32[] memory) {\n return\n get_append_proof_from_leafs_and_multi_proof_update(\n get_reversed_combined_leafs_from_current_and_update_elements(elements, update_elements),\n proof\n );\n }\n\n // INTERFACE: Check if bytes element in calldata exists at index, given a root and a Single Proof\n function element_exists(\n bytes32 root,\n uint256 index,\n bytes calldata element,\n bytes32[] calldata proof\n ) external pure returns (bool) {\n return hash_node(proof[0], get_root_from_single_proof(index, element, proof)) == root;\n }\n\n // INTERFACE: Check if bytes32 element exists at index, given a root and a Single Proof\n function element_exists(\n bytes32 root,\n uint256 index,\n bytes32 element,\n bytes32[] calldata proof\n ) external pure returns (bool) {\n return hash_node(proof[0], get_root_from_single_proof(index, element, proof)) == root;\n }\n\n // INTERFACE: Check if bytes elements in calldata exist, given a root and a Single Proof\n function elements_exist(\n bytes32 root,\n bytes[] calldata elements,\n bytes32[] calldata proof\n ) external pure returns (bool) {\n return hash_node(proof[0], get_root_from_multi_proof(elements, proof)) == root;\n }\n\n // INTERFACE: Check if bytes32 elements in calldata exist, given a root and a Single Proof\n function elements_exist(\n bytes32 root,\n bytes32[] calldata elements,\n bytes32[] calldata proof\n ) external pure returns (bool) {\n return hash_node(proof[0], get_root_from_multi_proof(elements, proof)) == root;\n }\n\n // get_indices cannot be implemented with sorted hashed pairs\n\n // verify_size_with_proof cannot be implemented with sorted hashed pairs\n\n // INTERFACE: Check tree size, given a the Element Merkle Root\n function verify_size(\n bytes32 root,\n uint256 size,\n bytes32 element_root\n ) external pure returns (bool) {\n if (root == bytes32(0) && size == 0) return true;\n\n return hash_node(bytes32(size), element_root) == root;\n }\n\n // INTERFACE: Try to update a bytes element in calldata, given a root, and index, an bytes element in calldata, and a Single Proof\n function try_update_one(\n bytes32 root,\n uint256 index,\n bytes calldata element,\n bytes calldata update_element,\n bytes32[] calldata proof\n ) external pure returns (bytes32 new_element_root) {\n bytes32 total_element_count = proof[0];\n\n require(root != bytes32(0) || total_element_count == bytes32(0), \"EMPTY_TREE\");\n\n bytes32 old_element_root;\n (old_element_root, new_element_root) = get_roots_from_single_proof_update(index, element, update_element, proof);\n\n require(hash_node(total_element_count, old_element_root) == root, \"INVALID_PROOF\");\n\n return hash_node(total_element_count, new_element_root);\n }\n\n // INTERFACE: Try to update a bytes32 element, given a root, and index, an bytes32 element, and a Single Proof\n function try_update_one(\n bytes32 root,\n uint256 index,\n bytes32 element,\n bytes32 update_element,\n bytes32[] calldata proof\n ) external pure returns (bytes32 new_element_root) {\n bytes32 total_element_count = proof[0];\n\n require(root != bytes32(0) || total_element_count == bytes32(0), \"EMPTY_TREE\");\n\n bytes32 old_element_root;\n (old_element_root, new_element_root) = get_roots_from_single_proof_update(index, element, update_element, proof);\n\n require(hash_node(total_element_count, old_element_root) == root, \"INVALID_PROOF\");\n\n return hash_node(total_element_count, new_element_root);\n }\n\n // INTERFACE: Try to update bytes elements in calldata, given a root, bytes elements in calldata, and an Existence Multi Proof\n function try_update_many(\n bytes32 root,\n bytes[] calldata elements,\n bytes[] calldata update_elements,\n bytes32[] calldata proof\n ) external pure returns (bytes32 new_element_root) {\n bytes32 total_element_count = proof[0];\n\n require(root != bytes32(0) || total_element_count == bytes32(0), \"EMPTY_TREE\");\n\n bytes32 old_element_root;\n (old_element_root, new_element_root) = get_roots_from_multi_proof_update(elements, update_elements, proof);\n\n require(hash_node(total_element_count, old_element_root) == root, \"INVALID_PROOF\");\n\n return hash_node(total_element_count, new_element_root);\n }\n\n // INTERFACE: Try to update bytes32 elements in calldata, given a root, bytes32 elements in calldata, and an Existence Multi Proof\n function try_update_many(\n bytes32 root,\n bytes32[] calldata elements,\n bytes32[] calldata update_elements,\n bytes32[] calldata proof\n ) external pure returns (bytes32 new_element_root) {\n bytes32 total_element_count = proof[0];\n\n require(root != bytes32(0) || total_element_count == bytes32(0), \"EMPTY_TREE\");\n\n bytes32 old_element_root;\n (old_element_root, new_element_root) = get_roots_from_multi_proof_update(elements, update_elements, proof);\n\n require(hash_node(total_element_count, old_element_root) == root, \"INVALID_PROOF\");\n\n return hash_node(total_element_count, new_element_root);\n }\n\n // INTERFACE: Try to append a bytes element in calldata, given a root and an Append Proof\n function try_append_one(\n bytes32 root,\n bytes calldata append_element,\n bytes32[] calldata proof\n ) external pure returns (bytes32 new_element_root) {\n bytes32 total_element_count = proof[0];\n\n require((root == bytes32(0)) == (total_element_count == bytes32(0)), \"INVALID_TREE\");\n\n if (root == bytes32(0)) return hash_node(bytes32(uint256(1)), get_root_from_one(append_element));\n\n bytes32 old_element_root;\n (old_element_root, new_element_root) = get_roots_from_append_proof_single_append(append_element, proof);\n\n require(hash_node(total_element_count, old_element_root) == root, \"INVALID_PROOF\");\n\n return hash_node(bytes32(uint256(total_element_count) + 1), new_element_root);\n }\n\n // INTERFACE: Try to append a bytes32 element, given a root and an Append Proof\n function try_append_one(\n bytes32 root,\n bytes32 append_element,\n bytes32[] calldata proof\n ) external pure returns (bytes32 new_element_root) {\n bytes32 total_element_count = proof[0];\n\n require((root == bytes32(0)) == (total_element_count == bytes32(0)), \"INVALID_TREE\");\n\n if (root == bytes32(0)) return hash_node(bytes32(uint256(1)), get_root_from_one(append_element));\n\n bytes32 old_element_root;\n (old_element_root, new_element_root) = get_roots_from_append_proof_single_append(append_element, proof);\n\n require(hash_node(total_element_count, old_element_root) == root, \"INVALID_PROOF\");\n\n return hash_node(bytes32(uint256(total_element_count) + 1), new_element_root);\n }\n\n // INTERFACE: Try to append bytes elements in calldata, given a root and an Append Proof\n function try_append_many(\n bytes32 root,\n bytes[] calldata append_elements,\n bytes32[] calldata proof\n ) external pure returns (bytes32 new_element_root) {\n bytes32 total_element_count = proof[0];\n\n require((root == bytes32(0)) == (total_element_count == bytes32(0)), \"INVALID_TREE\");\n\n if (root == bytes32(0)) return hash_node(bytes32(append_elements.length), get_root_from_many(append_elements));\n\n bytes32 old_element_root;\n (old_element_root, new_element_root) = get_roots_from_append_proof_multi_append(append_elements, proof);\n\n require(hash_node(total_element_count, old_element_root) == root, \"INVALID_PROOF\");\n\n return hash_node(bytes32(uint256(total_element_count) + append_elements.length), new_element_root);\n }\n\n // INTERFACE: Try to append bytes32 elements in calldata, given a root and an Append Proof\n function try_append_many(\n bytes32 root,\n bytes32[] calldata append_elements,\n bytes32[] calldata proof\n ) external pure returns (bytes32 new_element_root) {\n bytes32 total_element_count = proof[0];\n\n require((root == bytes32(0)) == (total_element_count == bytes32(0)), \"INVALID_TREE\");\n\n if (root == bytes32(0)) return hash_node(bytes32(append_elements.length), get_root_from_many(append_elements));\n\n bytes32 old_element_root;\n (old_element_root, new_element_root) = get_roots_from_append_proof_multi_append(append_elements, proof);\n\n require(hash_node(total_element_count, old_element_root) == root, \"INVALID_PROOF\");\n\n return hash_node(bytes32(uint256(total_element_count) + append_elements.length), new_element_root);\n }\n\n // INTERFACE: Try to append a bytes element in calldata, given a root, an index, a bytes element in calldata, and a Single Proof\n function try_append_one_using_one(\n bytes32 root,\n uint256 index,\n bytes calldata element,\n bytes calldata append_element,\n bytes32[] calldata proof\n ) external pure returns (bytes32 element_root) {\n bytes32 total_element_count = proof[0];\n\n require(root != bytes32(0) || total_element_count == bytes32(0), \"EMPTY_TREE\");\n\n bytes32[] memory append_proof;\n (element_root, append_proof) = get_append_proof_from_single_proof(index, element, proof);\n\n require(hash_node(total_element_count, element_root) == root, \"INVALID_PROOF\");\n\n element_root = get_new_root_from_append_proof_single_append(append_element, append_proof);\n\n return hash_node(bytes32(uint256(total_element_count) + 1), element_root);\n }\n\n // INTERFACE: Try to append a bytes32 element, given a root, an index, a bytes32 element, and a Single Proof\n function try_append_one_using_one(\n bytes32 root,\n uint256 index,\n bytes32 element,\n bytes32 append_element,\n bytes32[] calldata proof\n ) external pure returns (bytes32 element_root) {\n bytes32 total_element_count = proof[0];\n\n require(root != bytes32(0) || total_element_count == bytes32(0), \"EMPTY_TREE\");\n\n bytes32[] memory append_proof;\n (element_root, append_proof) = get_append_proof_from_single_proof(index, element, proof);\n\n require(hash_node(total_element_count, element_root) == root, \"INVALID_PROOF\");\n\n element_root = get_new_root_from_append_proof_single_append(append_element, append_proof);\n\n return hash_node(bytes32(uint256(total_element_count) + 1), element_root);\n }\n\n // INTERFACE: Try to append bytes elements in calldata, given a root, an index, a bytes element in calldata, and a Single Proof\n function try_append_many_using_one(\n bytes32 root,\n uint256 index,\n bytes calldata element,\n bytes[] calldata append_elements,\n bytes32[] calldata proof\n ) external pure returns (bytes32 element_root) {\n bytes32 total_element_count = proof[0];\n\n require(root != bytes32(0) || total_element_count == bytes32(0), \"EMPTY_TREE\");\n\n bytes32[] memory append_proof;\n (element_root, append_proof) = get_append_proof_from_single_proof(index, element, proof);\n\n require(hash_node(total_element_count, element_root) == root, \"INVALID_PROOF\");\n\n element_root = get_new_root_from_append_proof_multi_append(append_elements, append_proof);\n\n return hash_node(bytes32(uint256(total_element_count) + append_elements.length), element_root);\n }\n\n // INTERFACE: Try to append bytes32 elements in calldata, given a root, an index, a bytes32 element, and a Single Proof\n function try_append_many_using_one(\n bytes32 root,\n uint256 index,\n bytes32 element,\n bytes32[] calldata append_elements,\n bytes32[] calldata proof\n ) external pure returns (bytes32 element_root) {\n bytes32 total_element_count = proof[0];\n\n require(root != bytes32(0) || total_element_count == bytes32(0), \"EMPTY_TREE\");\n\n bytes32[] memory append_proof;\n (element_root, append_proof) = get_append_proof_from_single_proof(index, element, proof);\n\n require(hash_node(total_element_count, element_root) == root, \"INVALID_PROOF\");\n\n element_root = get_new_root_from_append_proof_multi_append(append_elements, append_proof);\n\n return hash_node(bytes32(uint256(total_element_count) + append_elements.length), element_root);\n }\n\n // INTERFACE: Try to append a bytes element in calldata, given a root, bytes elements in calldata, and an Existence Multi Proof\n function try_append_one_using_many(\n bytes32 root,\n bytes[] calldata elements,\n bytes calldata append_element,\n bytes32[] calldata proof\n ) external pure returns (bytes32 element_root) {\n bytes32 total_element_count = proof[0];\n\n require(root != bytes32(0) || total_element_count == bytes32(0), \"EMPTY_TREE\");\n\n bytes32[] memory append_proof;\n (element_root, append_proof) = get_append_proof_from_multi_proof(elements, proof);\n\n require(hash_node(total_element_count, element_root) == root, \"INVALID_PROOF\");\n\n element_root = get_new_root_from_append_proof_single_append(append_element, append_proof);\n\n return hash_node(bytes32(uint256(total_element_count) + 1), element_root);\n }\n\n // INTERFACE: Try to append a bytes32 element, given a root, bytes32 elements in calldata, and an Existence Multi Proof\n function try_append_one_using_many(\n bytes32 root,\n bytes32[] calldata elements,\n bytes32 append_element,\n bytes32[] calldata proof\n ) external pure returns (bytes32 element_root) {\n bytes32 total_element_count = proof[0];\n\n require(root != bytes32(0) || total_element_count == bytes32(0), \"EMPTY_TREE\");\n\n bytes32[] memory append_proof;\n (element_root, append_proof) = get_append_proof_from_multi_proof(elements, proof);\n\n require(hash_node(total_element_count, element_root) == root, \"INVALID_PROOF\");\n\n element_root = get_new_root_from_append_proof_single_append(append_element, append_proof);\n\n return hash_node(bytes32(uint256(total_element_count) + 1), element_root);\n }\n\n // INTERFACE: Try to append bytes elements in calldata, given a root, bytes elements in calldata, and an Existence Multi Proof\n function try_append_many_using_many(\n bytes32 root,\n bytes[] calldata elements,\n bytes[] calldata append_elements,\n bytes32[] calldata proof\n ) external pure returns (bytes32 element_root) {\n bytes32 total_element_count = proof[0];\n\n require(root != bytes32(0) || total_element_count == bytes32(0), \"EMPTY_TREE\");\n\n bytes32[] memory append_proof;\n (element_root, append_proof) = get_append_proof_from_multi_proof(elements, proof);\n\n require(hash_node(total_element_count, element_root) == root, \"INVALID_PROOF\");\n\n element_root = get_new_root_from_append_proof_multi_append(append_elements, append_proof);\n\n return hash_node(bytes32(uint256(total_element_count) + append_elements.length), element_root);\n }\n\n // INTERFACE: Try to append bytes32 elements in calldata, given a root, bytes32 elements in calldata, and an Existence Multi Proof\n function try_append_many_using_many(\n bytes32 root,\n bytes32[] calldata elements,\n bytes32[] calldata append_elements,\n bytes32[] calldata proof\n ) external pure returns (bytes32 element_root) {\n bytes32 total_element_count = proof[0];\n\n require(root != bytes32(0) || total_element_count == bytes32(0), \"EMPTY_TREE\");\n\n bytes32[] memory append_proof;\n (element_root, append_proof) = get_append_proof_from_multi_proof(elements, proof);\n\n require(hash_node(total_element_count, element_root) == root, \"INVALID_PROOF\");\n\n element_root = get_new_root_from_append_proof_multi_append(append_elements, append_proof);\n\n return hash_node(bytes32(uint256(total_element_count) + append_elements.length), element_root);\n }\n\n // INTERFACE: Try to update a bytes element in calldata and append a bytes element in calldata,\n // given a root, an index, a bytes element in calldata, and a Single Proof\n function try_update_one_and_append_one(\n bytes32 root,\n uint256 index,\n bytes calldata element,\n bytes calldata update_element,\n bytes calldata append_element,\n bytes32[] calldata proof\n ) external pure returns (bytes32 element_root) {\n bytes32 total_element_count = proof[0];\n\n require(root != bytes32(0) || total_element_count == bytes32(0), \"EMPTY_TREE\");\n\n bytes32[] memory append_proof;\n (element_root, append_proof) = get_append_proof_from_single_proof_update(index, element, update_element, proof);\n\n require(hash_node(total_element_count, element_root) == root, \"INVALID_PROOF\");\n\n element_root = get_new_root_from_append_proof_single_append(append_element, append_proof);\n\n return hash_node(bytes32(uint256(total_element_count) + 1), element_root);\n }\n\n // INTERFACE: Try to update a bytes32 element and append a bytes32 element,\n // given a root, an index, a bytes32 element, and a Single Proof\n function try_update_one_and_append_one(\n bytes32 root,\n uint256 index,\n bytes32 element,\n bytes32 update_element,\n bytes32 append_element,\n bytes32[] 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"typeString": "bytes32" } }, "id": 2664, "nodeType": "ExpressionStatement", "src": "25383:45:1" } ] } }, { "expression": { "id": 2669, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 2667, "name": "proof_index", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2565, "src": "25449:11:1", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "-=", "rightHandSide": { "hexValue": "31", "id": 2668, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "25464:1:1", "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "25449:16:1", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 2670, "nodeType": "ExpressionStatement", "src": "25449:16:1" } ] } }, { "expression": 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"name": "upper_bound", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2581, "src": "25658:11:1", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": ">>=", "rightHandSide": { "hexValue": "31", "id": 2699, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "25674:1:1", "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "25658:17:1", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 2701, "nodeType": "ExpressionStatement", "src": "25658:17:1" }, { "expression": { "id": 2704, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "id": 2702, "name": "append_node_index", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2572, "src": 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\"INVALID_PROOF\"" }, "value": "INVALID_PROOF" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" }, { "typeIdentifier": "t_stringliteral_3d4674c7a24a849f99f84bc9e7d24d02a1b1940b7124f7d651f5ad32c06dc52b", "typeString": "literal_string \"INVALID_PROOF\"" } ], "id": 2708, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "25719:7:1", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$_t_string_memory_ptr_$returns$__$", "typeString": "function (bool,string memory) pure" } }, "id": 2717, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "25719:72:1", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 2718, "nodeType": "ExpressionStatement", "src": "25719:72:1" }, { "condition": { "commonType": { 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"expression": { "id": 2726, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "baseExpression": { "id": 2722, "name": "append_proof", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2562, "src": "25835:12:1", "typeDescriptions": { "typeIdentifier": "t_array$_t_bytes32_$dyn_memory_ptr", "typeString": "bytes32[] memory" } }, "id": 2724, "indexExpression": { "hexValue": "31", "id": 2723, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "25848:1:1", "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": true, "nodeType": "IndexAccess", "src": "25835:15:1", "typeDescriptions": { "typeIdentifier": "t_bytes32", "typeString": "bytes32" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "id": 2725, "name": "leaf", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2553, "src": "25853:4:1", "typeDescriptions": { "typeIdentifier": "t_bytes32", "typeString": "bytes32" } }, "src": "25835:22:1", "typeDescriptions": { "typeIdentifier": "t_bytes32", "typeString": "bytes32" } }, "id": 2727, "nodeType": "ExpressionStatement", "src": "25835:22:1" } ] } } ] }, "id": 2731, "implemented": true, "kind": "function", "modifiers": [], "name": "get_append_proof_from_leaf_and_single_proof", "nodeType": "FunctionDefinition", "parameters": { "id": 2557, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 2551, "mutability": "mutable", "name": "index", "nodeType": "VariableDeclaration", "scope": 2731, "src": "24587:13:1", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2550, "name": "uint256", "nodeType": "ElementaryTypeName", "src": 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{ "id": 4076, "nodeType": "Continue", "src": "39327:8:1" } ] } }, { "condition": { "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 4081, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "id": 4079, "name": "read_index_of_append_node", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 3879, "src": "39356:25:1", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "id": 4080, "name": "read_index", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 3873, "src": "39385:10:1", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "39356:39:1", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "id": 4155, "nodeType": "IfStatement", "src": "39352:775:1", "trueBody": { "id": 4154, "nodeType": 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