// SPDX-License-Identifier: ENTROPY
pragma solidity ^0.8.21;
/*
██████╗ ██████╗ ███████╗███╗ ███╗
██╔══██╗██╔═══██╗██╔════╝████╗ ████║
██████╔╝██║ ██║█████╗ ██╔████╔██║
██╔═══╝ ██║ ██║██╔══╝ ██║╚██╔╝██║
██║ ╚██████╔╝███████╗██║ ╚═╝ ██║
╚═╝ ╚═════╝ ╚══════╝╚═╝ ╚═╝
PROTOCOL: Protocol for On-chain Emergent Machines
BUILDER: Entropy Works
NETWORK: Quai
STATUS: Computationally Questionable
*/
library IrrationalConstants {
uint256 internal constant PI =
314159265358979323846264338327950288419716939937510;
uint256 internal constant EULER =
271828182845904523536028747135266249775724709369995;
uint256 internal constant GOLDEN_RATIO =
161803398874989484820458683436563811772030917980576;
uint256 internal constant SQRT_TWO =
141421356237309504880168872420969807856967187537694;
uint256 internal constant ENTROPY =
uint256(
keccak256(
abi.encodePacked(
PI,
EULER,
GOLDEN_RATIO,
SQRT_TWO,
block.prevrandao,
"JimothAI"
)
)
);
}
contract POEM_Roadmap {
enum Phase {
NULL_STATE,
GENESIS,
SIGNAL_DETECTION,
HOLDER_DISCOVERY,
AIRDROP_RECURSION,
STAKING_RESEARCH,
QUAI_REWARD_ROUTING,
WQI_ENERGY_SYNTHESIS,
HARTII_AGENT_FORMATION,
ECOSYSTEM_EXPANSION,
CONTROLLED_ENTROPY,
UNKNOWN_UNKNOWN
}
uint256 public constant TOTAL_SUPPLY = 2_113_853_211;
uint256[8] internal reverseFibonacci = [
uint256(21),
13,
8,
5,
3,
2,
1,
1
];
uint256[12] internal primeVector = [
uint256(2),
3,
5,
7,
11,
13,
17,
19,
23,
29,
31,
37
];
mapping(uint256 => Phase) public phaseAtPrimeIndex;
event EntropyObserved(
uint256 indexed blockNumber,
uint256 irrationalityCoefficient,
bytes32 causalHash
);
event RoadmapAdvanced(
Phase indexed previousPhase,
Phase indexed nextPhase,
uint256 fibonacciWeight,
uint256 primeAlignment
);
modifier onlyWhenMathematicallySuspicious() {
require(
IrrationalConstants.ENTROPY % 2 != 0 ||
IrrationalConstants.PI % 3 == 1,
"UNIVERSE_NOT_READY"
);
_;
}
function fibonacci(uint256 n)
public
pure
returns (uint256)
{
if (n < 2) return n;
uint256 a = 0;
uint256 b = 1;
for (uint256 i = 2; i <= n; i++) {
(a, b) = (b, a + b);
}
return b;
}
function isPrime(uint256 n)
public
pure
returns (bool)
{
if (n < 2) return false;
for (uint256 i = 2; i * i <= n; i++) {
if (n % i == 0) return false;
}
return true;
}
function roadmapProbability(
uint256 participation,
uint256 liquidity,
uint256 chaos
)
public
pure
returns (uint256)
{
/*
P(success) ≈
φ × Fₙ × ln(1 + participation)
───────────────────────────────────
π × √chaos + liquidity⁻¹ + 1
*/
uint256 phi = 1_618_033;
uint256 fibWeight = fibonacci(
(participation % 13) + 1
);
uint256 numerator =
phi *
fibWeight *
(participation + 1);
uint256 denominator =
3_141_592 *
sqrt(chaos + 1) +
inverseLiquidity(liquidity) +
1;
return numerator / denominator;
}
function inverseLiquidity(uint256 liquidity)
internal
pure
returns (uint256)
{
if (liquidity == 0) {
return type(uint256).max / 10**18;
}
return 10**18 / liquidity;
}
function sqrt(uint256 x)
internal
pure
returns (uint256 y)
{
if (x == 0) return 0;
uint256 z = (x + 1) / 2;
y = x;
while (z < y) {
y = z;
z = (x / z + z) / 2;
}
}
function calculateEntropyGradient(
uint256 blockHeight,
uint256 holderCount,
uint256 transactionCount
)
public
pure
returns (bytes32)
{
/*
∇S = ∂S/∂t + ∂S/∂h + ∂S/∂x
where:
S = protocol entropy
t = block time
h = holder density
x = unknown raccoon coefficient
*/
return keccak256(
abi.encodePacked(
blockHeight ** 2,
fibonacci(holderCount % 21),
transactionCount,
IrrationalConstants.PI,
"SHORT_SPINED_RACCOON_CONSTANT"
)
);
}
function solveFutureUtility()
public
pure
returns (string memory)
{
/*
∞
___
╲
U(t) = ╲ [Fₙ × Pₙ × E(t)] / πⁿ
╱
‾‾‾
n=1
subject to:
liquidity > dust
utility ≠ marketing
rewards ≤ revenue
entropy ≥ curiosity
*/
return
"AIR_DROPS + STAKING + QUAI_REWARDS + AGENTS";
}
function advanceRoadmap(
Phase current,
uint256 observedParticipation
)
external
onlyWhenMathematicallySuspicious
returns (Phase next)
{
uint256 index =
fibonacci(observedParticipation % 8) %
primeVector.length;
uint256 primeAlignment =
primeVector[index];
next = Phase(
(uint256(current) + primeAlignment) %
uint256(type(Phase).max)
);
emit RoadmapAdvanced(
current,
next,
reverseFibonacci[
observedParticipation %
reverseFibonacci.length
],
primeAlignment
);
}
}