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44fb311f1f
* bound unsigned when necessary * convert more type to AtLeast32BitUnsigned * Update primitives/arithmetic/src/traits.rs Co-authored-by: Kian Paimani <5588131+kianenigma@users.noreply.github.com> * doc refactor * line reorganize Co-authored-by: Kian Paimani <5588131+kianenigma@users.noreply.github.com>
106 lines
4.2 KiB
Rust
106 lines
4.2 KiB
Rust
// This file is part of Substrate.
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// Copyright (C) 2019-2020 Parity Technologies (UK) Ltd.
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// SPDX-License-Identifier: Apache-2.0
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// Licensed under the Apache License, Version 2.0 (the "License");
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// you may not use this file except in compliance with the License.
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// You may obtain a copy of the License at
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//
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// http://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the License is distributed on an "AS IS" BASIS,
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// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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// See the License for the specific language governing permissions and
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// limitations under the License.
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//! This module expose one function `P_NPoS` (Payout NPoS) or `compute_total_payout` which returns
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//! the total payout for the era given the era duration and the staking rate in NPoS.
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//! The staking rate in NPoS is the total amount of tokens staked by nominators and validators,
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//! divided by the total token supply.
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use sp_runtime::{Perbill, traits::AtLeast32BitUnsigned, curve::PiecewiseLinear};
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/// The total payout to all validators (and their nominators) per era and maximum payout.
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///
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/// Defined as such:
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/// `staker-payout = yearly_inflation(npos_token_staked / total_tokens) * total_tokens / era_per_year`
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/// `maximum-payout = max_yearly_inflation * total_tokens / era_per_year`
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///
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/// `era_duration` is expressed in millisecond.
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pub fn compute_total_payout<N>(
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yearly_inflation: &PiecewiseLinear<'static>,
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npos_token_staked: N,
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total_tokens: N,
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era_duration: u64
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) -> (N, N) where N: AtLeast32BitUnsigned + Clone {
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// Milliseconds per year for the Julian year (365.25 days).
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const MILLISECONDS_PER_YEAR: u64 = 1000 * 3600 * 24 * 36525 / 100;
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let portion = Perbill::from_rational_approximation(era_duration as u64, MILLISECONDS_PER_YEAR);
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let payout = portion * yearly_inflation.calculate_for_fraction_times_denominator(
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npos_token_staked,
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total_tokens.clone(),
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);
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let maximum = portion * (yearly_inflation.maximum * total_tokens);
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(payout, maximum)
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}
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#[cfg(test)]
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mod test {
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use sp_runtime::curve::PiecewiseLinear;
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pallet_staking_reward_curve::build! {
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const I_NPOS: PiecewiseLinear<'static> = curve!(
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min_inflation: 0_025_000,
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max_inflation: 0_100_000,
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ideal_stake: 0_500_000,
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falloff: 0_050_000,
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max_piece_count: 40,
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test_precision: 0_005_000,
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);
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}
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#[test]
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fn npos_curve_is_sensible() {
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const YEAR: u64 = 365 * 24 * 60 * 60 * 1000;
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// check maximum inflation.
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// not 10_000 due to rounding error.
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assert_eq!(super::compute_total_payout(&I_NPOS, 0, 100_000u64, YEAR).1, 9_993);
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//super::I_NPOS.calculate_for_fraction_times_denominator(25, 100)
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assert_eq!(super::compute_total_payout(&I_NPOS, 0, 100_000u64, YEAR).0, 2_498);
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assert_eq!(super::compute_total_payout(&I_NPOS, 5_000, 100_000u64, YEAR).0, 3_248);
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assert_eq!(super::compute_total_payout(&I_NPOS, 25_000, 100_000u64, YEAR).0, 6_246);
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assert_eq!(super::compute_total_payout(&I_NPOS, 40_000, 100_000u64, YEAR).0, 8_494);
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assert_eq!(super::compute_total_payout(&I_NPOS, 50_000, 100_000u64, YEAR).0, 9_993);
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assert_eq!(super::compute_total_payout(&I_NPOS, 60_000, 100_000u64, YEAR).0, 4_379);
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assert_eq!(super::compute_total_payout(&I_NPOS, 75_000, 100_000u64, YEAR).0, 2_733);
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assert_eq!(super::compute_total_payout(&I_NPOS, 95_000, 100_000u64, YEAR).0, 2_513);
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assert_eq!(super::compute_total_payout(&I_NPOS, 100_000, 100_000u64, YEAR).0, 2_505);
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const DAY: u64 = 24 * 60 * 60 * 1000;
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assert_eq!(super::compute_total_payout(&I_NPOS, 25_000, 100_000u64, DAY).0, 17);
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assert_eq!(super::compute_total_payout(&I_NPOS, 50_000, 100_000u64, DAY).0, 27);
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assert_eq!(super::compute_total_payout(&I_NPOS, 75_000, 100_000u64, DAY).0, 7);
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const SIX_HOURS: u64 = 6 * 60 * 60 * 1000;
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assert_eq!(super::compute_total_payout(&I_NPOS, 25_000, 100_000u64, SIX_HOURS).0, 4);
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assert_eq!(super::compute_total_payout(&I_NPOS, 50_000, 100_000u64, SIX_HOURS).0, 7);
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assert_eq!(super::compute_total_payout(&I_NPOS, 75_000, 100_000u64, SIX_HOURS).0, 2);
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const HOUR: u64 = 60 * 60 * 1000;
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assert_eq!(
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super::compute_total_payout(
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&I_NPOS,
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2_500_000_000_000_000_000_000_000_000u128,
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5_000_000_000_000_000_000_000_000_000u128,
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HOUR
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).0,
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57_038_500_000_000_000_000_000
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);
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}
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}
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