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V5 Decimal numeric type in Move Vm (#654)
* add decimal native * ol_decimal.rs tests * decimal irrational number test * change move decimal type to u128 to use throughout. * patch negative number casting
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address 0x1 { | ||
module Decimal { | ||
// The Move Decimal data structure is optimized for readability and compatibility. | ||
// In particular it is indended for compatibility with the underlying rust_decimal crate https://github.com/paupino/rust-decimal. In that library a new decimal type is initialized with Decimal::from_i128_with_scale(mantissa: i128, scale: u32) | ||
// Note: While the underlying Rust crate type has optimal storage characteristics, this Move decimal representation is NOT optimized for storage. | ||
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struct Decimal has key, store, drop { | ||
sign: bool, | ||
int: u128, | ||
scale: u8, // max intger is number 28 | ||
} | ||
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// while stored in u128, the largest integer possible in the rust_decimal vm dependency is 2^96 | ||
const MAX_RUST_DECIMAL_U128: u128 = 79228162514264337593543950335; | ||
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// pair decimal ops | ||
const ADD: u8 = 1; | ||
const SUB: u8 = 2; | ||
const MUL: u8 = 3; | ||
const DIV: u8 = 4; | ||
const POW: u8 = 5; | ||
const ROUND: u8 = 6; | ||
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// single ops | ||
const SQRT: u8 = 100; | ||
const TRUNC: u8 = 101; | ||
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const ROUND_MID_TO_EVEN: u8 = 0; // This is the default in the rust_decimal lib. | ||
const ROUND_MID_FROM_ZERO: u8 = 1; | ||
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native public fun decimal_demo(sign: bool, int: u128, scale: u8): (bool, u128, u8); | ||
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native public fun single_op(op_id: u8, sign: bool, int: u128, scale: u8): (bool, u128, u8); | ||
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native public fun pair_op( | ||
op_id: u8, | ||
rounding_strategy_id: u8, | ||
// left number | ||
sign_1: bool, | ||
int_1: u128, | ||
scale_1: u8, | ||
// right number | ||
sign_2: bool, | ||
int_2: u128, | ||
scale_3: u8 | ||
): (bool, u128, u8); | ||
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public fun new(sign: bool, int: u128, scale: u8): Decimal { | ||
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assert(int < MAX_RUST_DECIMAL_U128, 01); | ||
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// check scale < 28 | ||
assert(scale < 28, 02); | ||
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return Decimal { | ||
sign: sign, | ||
int: int, | ||
scale: scale | ||
} | ||
} | ||
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/////// SUGAR ///////// | ||
public fun trunc(d: &Decimal): Decimal { | ||
let (sign, int, scale) = single_op(TRUNC, *&d.sign, *&d.int, *&d.scale); | ||
return Decimal { | ||
sign: sign, | ||
int: int, | ||
scale: scale, | ||
} | ||
} | ||
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public fun sqrt(d: &Decimal): Decimal { | ||
let (sign, int, scale) = single_op(SQRT, *&d.sign, *&d.int, *&d.scale); | ||
return Decimal { | ||
sign: sign, | ||
int: int, | ||
scale: scale, | ||
} | ||
} | ||
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public fun add(l: &Decimal, r: &Decimal): Decimal { | ||
let (sign, int, scale) = pair_op(ADD, ROUND_MID_TO_EVEN, *&l.sign, *&l.int, *&l.scale, *&r.sign, *&r.int, *&r.scale); | ||
return Decimal { | ||
sign: sign, | ||
int: int, | ||
scale: scale, | ||
} | ||
} | ||
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public fun sub(l: &Decimal, r: &Decimal): Decimal { | ||
let (sign, int, scale) = pair_op(SUB, ROUND_MID_TO_EVEN, *&l.sign, *&l.int, *&l.scale, *&r.sign, *&r.int, *&r.scale); | ||
return Decimal { | ||
sign: sign, | ||
int: int, | ||
scale: scale, | ||
} | ||
} | ||
public fun mul(l: &Decimal, r: &Decimal): Decimal { | ||
let (sign, int, scale) = pair_op(MUL, ROUND_MID_TO_EVEN, *&l.sign, *&l.int, *&l.scale, *&r.sign, *&r.int, *&r.scale); | ||
return Decimal { | ||
sign: sign, | ||
int: int, | ||
scale: scale, | ||
} | ||
} | ||
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public fun div(l: &Decimal, r: &Decimal): Decimal { | ||
let (sign, int, scale) = pair_op(DIV, ROUND_MID_TO_EVEN, *&l.sign, *&l.int, *&l.scale, *&r.sign, *&r.int, *&r.scale); | ||
return Decimal { | ||
sign: sign, | ||
int: int, | ||
scale: scale, | ||
} | ||
} | ||
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public fun rescale(l: &Decimal, r: &Decimal): Decimal { | ||
let (sign, int, scale) = pair_op(0, ROUND_MID_TO_EVEN, *&l.sign, *&l.int, *&l.scale, *&r.sign, *&r.int, *&r.scale); | ||
return Decimal { | ||
sign: sign, | ||
int: int, | ||
scale: scale, | ||
} | ||
} | ||
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public fun round(l: &Decimal, r: &Decimal, strategy: u8): Decimal { | ||
let (sign, int, scale) = pair_op(ROUND, strategy, *&l.sign, *&l.int, *&l.scale, *&r.sign, *&r.int, *&r.scale); | ||
return Decimal { | ||
sign: sign, | ||
int: int, | ||
scale: scale, | ||
} | ||
} | ||
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public fun power(l: &Decimal, r: &Decimal): Decimal { | ||
let (sign, int, scale) = pair_op(POW, ROUND_MID_TO_EVEN, *&l.sign, *&l.int, *&l.scale, *&r.sign, *&r.int, *&r.scale); | ||
return Decimal { | ||
sign: sign, | ||
int: int, | ||
scale: scale, | ||
} | ||
} | ||
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///// GETTERS ///// | ||
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// unwrap creates a new decimal instance | ||
public fun unwrap(d: &Decimal): (bool, u128, u8) { | ||
return (*&d.sign, *&d.int, *&d.scale) | ||
} | ||
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// borrow sign | ||
public fun borrow_sign(d: &Decimal): &bool { | ||
return &d.sign | ||
} | ||
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// borrows the value of the integer | ||
public fun borrow_int(d: &Decimal): &u128 { | ||
return &d.int | ||
} | ||
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// borrow sign | ||
public fun borrow_scale(d: &Decimal): &u8 { | ||
return &d.scale | ||
} | ||
} | ||
} |
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address 0x1 { | ||
module Bonding { | ||
// use 0x1::Signer; | ||
use 0x1::Decimal; | ||
use 0x1::Debug::print; | ||
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struct CurveState has key { | ||
is_deprecated: bool, | ||
reserve: u128, //todo: change to Diem<XUS>, | ||
supply_issued: u128, | ||
} | ||
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struct Token has key, store { | ||
value: u128 | ||
} | ||
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// fun sunset() { | ||
// // if true state.is_deprecated == true | ||
// // allow holders to redeem at the spot price at sunset. | ||
// // cannot receive new deposits | ||
// //TBD | ||
// } | ||
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///////// Initialization ///////// | ||
public fun initialize_curve( | ||
service: &signer, | ||
deposit: u128, // Diem<XUS>, | ||
supply_init: u128, | ||
) { | ||
// let deposit_value = Diem::value<XUS>(&deposit); | ||
assert(deposit > 0, 7357001); | ||
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let init_state = CurveState { | ||
is_deprecated: false, // deprecate mode | ||
reserve: deposit, | ||
supply_issued: supply_init, | ||
}; | ||
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// This initializes the contract, and stores the contract state at the address of sender. TDB where the state gets stored. | ||
move_to<CurveState>(service, init_state); | ||
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let first_token = Token { | ||
value: supply_init | ||
}; | ||
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// minting the first coin, sponsor is recipent of initial coin. | ||
move_to<Token>(service, first_token); | ||
} | ||
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/////////// Calculations ///////// | ||
public fun deposit_calc(add_to_reserve: u128, reserve: u128, supply: u128): u128 { | ||
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let one = Decimal::new(true, 1, 0); | ||
print(&one); | ||
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let add_dec = Decimal::new(true, add_to_reserve, 0); | ||
print(&add_dec); | ||
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let reserve_dec = Decimal::new(true, reserve, 0); | ||
print(&reserve_dec); | ||
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let supply_dec = Decimal::new(true, supply, 0); | ||
print(&supply_dec); | ||
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// formula: | ||
// supply * sqrt(one+(add_to_reserve/reserve)) | ||
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let a = Decimal::div(&add_dec, &reserve_dec); | ||
print(&a); | ||
let b = Decimal::add(&one, &a); | ||
print(&b); | ||
let c = Decimal::sqrt(&b); | ||
print(&c); | ||
let d = Decimal::mul(&supply_dec, &c); | ||
print(&d); | ||
let int = Decimal::borrow_int(&Decimal::trunc(&d)); | ||
print(int); | ||
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return *int | ||
} | ||
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// fun withdraw_curve(remove_from_supply: u128, supply: u128, reserve: u128):u128 { | ||
// // TODO: | ||
// // formula: reserve * (one - remove_from_supply/supply )^2 | ||
// // let one = Decimal::new(true, 1, 0); | ||
// | ||
// | ||
// } | ||
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///////// API ///////// | ||
// this simulates the depositing and getting a minted token out, but just using integers, not coin types for now. | ||
public fun test_bond_to_mint(_sender: &signer, service_addr: address, deposit: u128): u128 acquires CurveState { | ||
assert(exists<CurveState>(service_addr), 73570002); | ||
let state = borrow_global_mut<CurveState>(service_addr); | ||
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let post_supply = deposit_calc(deposit, state.reserve, state.supply_issued); | ||
print(&post_supply); | ||
assert(post_supply > state.supply_issued, 73570003); | ||
let mint = post_supply - state.supply_issued; | ||
print(&mint); | ||
// update the new curve state | ||
state.reserve = state.reserve + deposit; | ||
state.supply_issued = state.supply_issued + mint; | ||
// print(&state); | ||
mint | ||
} | ||
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// public fun burn_to_withdraw(sender: &signer, service_addr: address, burn_value: u128):Decimal acquires CurveState, Token { | ||
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// assert(exists<CurveState>(service_addr), 73570002); | ||
// let sender_addr = Signer::address_of(sender); | ||
// assert(exists<Token>(sender_addr), 73570003); | ||
// assert(Coin::balance(sender_addr) >= burn_value, 73570004); | ||
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// let state = borrow_global_mut<CurveState>(service_addr); | ||
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// // Calculate the reserve change. | ||
// let remove_from_supply = Decimal::new(burn_value); | ||
// let withdraw_value = withdraw_curve(remove_from_supply, service_addr, state.reserve); | ||
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// withdraw_token_from(sender, burn_value); | ||
// // new curve state | ||
// state.reserve = state.reserve - withdraw_value; | ||
// state.supply = state.supply - burn_value; | ||
// withdraw_value | ||
// } | ||
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// // Merges a GAS coin. | ||
// fun deposit_gas_and_merge(sender: &signer, coin: GAS) acquires Token { | ||
// //TODO: merges gas coin to bonding curve reserve | ||
// } | ||
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// // Splits a coin to be used. | ||
// fun withdraw_token_and_split_gas(sender: &signer, sub_value: Decimal) acquires Token { | ||
// //TODO: | ||
// } | ||
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// ///////// GETTERS ///////// | ||
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public fun get_curve_state(sponsor_address: address): (u128, u128) acquires CurveState { | ||
let state = borrow_global<CurveState>(sponsor_address); | ||
(state.reserve, state.supply_issued) | ||
} | ||
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// public fun get_user_balance(addr: address): Decimal acquires Token { | ||
// let state = borrow_global<Token>(addr); | ||
// state.value | ||
// } | ||
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// // This is a steady state getter | ||
// public fun calc_spot_price_from_state(sponsor_addr: address): Decimal acquires CurveState { | ||
// let state = borrow_global_mut<CurveState>(sponsor_addr); | ||
// state.kappa * (state.reserve/state.supply) | ||
// } | ||
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// ///////// TEST ///////// | ||
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// // // NOTE: This "invariant" may not be invariant with rounding issues. | ||
// // public fun test_get_curve_invariant(sponsor_addr: address):Decimal acquires CurveState { | ||
// // let state = borrow_global_mut<CurveState>(sponsor_addr); | ||
// // let two = FixedPoint32::create_from_raw_value(2); | ||
// // let zero = FixedPoint32::create_from_raw_value(0); | ||
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// // // TOOD: when we have native math lib the formula will be: | ||
// // // (state.supply, to power of state.kappa) / state.reserve | ||
// // if (state.kappa == two ) { | ||
// // return (state.supply * state.supply) / state.reserve | ||
// // }; | ||
// // zero | ||
// // } | ||
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} | ||
} |
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