1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
//! Rewarder utilities.

use anchor_lang::prelude::*;
use num_traits::ToPrimitive;
use spl_math::uint::U192;
use vipers::prelude::*;

use crate::Rewarder;

impl Rewarder {
    /// Computes the amount of rewards a [crate::Quarry] should receive, annualized.
    /// This should be run only after `total_rewards_shares` has been set.
    /// Do not call this directly. Use `compute_quarry_annual_rewards_rate`.
    fn compute_quarry_annual_rewards_rate_unsafe(&self, quarry_rewards_share: u64) -> Option<u128> {
        let quarry_annual_rewards_rate = U192::from(self.annual_rewards_rate)
            .checked_mul(quarry_rewards_share.into())?
            .checked_div(self.total_rewards_shares.into())?;

        quarry_annual_rewards_rate.try_into().ok()
    }

    /// Computes the amount of rewards a [crate::Quarry] should receive, annualized.
    /// This should be run only after `total_rewards_shares` has been set.
    pub fn compute_quarry_annual_rewards_rate(&self, quarry_rewards_share: u64) -> Result<u64> {
        invariant!(
            quarry_rewards_share <= self.total_rewards_shares,
            InvalidRewardsShare
        );

        // no rewards if:
        if self.total_rewards_shares == 0 // no shares
            || self.annual_rewards_rate == 0 // rewards rate is zero
            || quarry_rewards_share == 0
        // quarry has no share
        {
            return Ok(0);
        }

        let raw_rate =
            unwrap_int!(self.compute_quarry_annual_rewards_rate_unsafe(quarry_rewards_share));
        Ok(unwrap_int!(raw_rate.to_u64()))
    }
}

#[cfg(test)]
#[allow(clippy::unwrap_used)]
mod tests {
    use super::*;
    use proptest::prelude::*;
    use rand::thread_rng;
    use std::vec::Vec;

    use crate::MAX_ANNUAL_REWARDS_RATE;

    const DEFAULT_ANNUAL_REWARDS_RATE: u64 = 100_000_000_000_000_000;

    fn add_quarry(l: &mut Rewarder, quarry_share: u64) {
        l.total_rewards_shares += quarry_share;
    }

    #[test]
    fn test_compute_quarry_annual_rewards_rate() {
        let mut rewarder = Rewarder {
            annual_rewards_rate: DEFAULT_ANNUAL_REWARDS_RATE,
            ..Default::default()
        };

        let invalid: Result<u64> = err!(InvalidRewardsShare);

        // invalid because there are no shares
        assert_eq!(
            rewarder
                .compute_quarry_annual_rewards_rate(DEFAULT_ANNUAL_REWARDS_RATE)
                .into_cmp_error(),
            invalid.into_cmp_error()
        );

        rewarder.total_rewards_shares = 1_000_000_000_000;
        let tokens_per_share = DEFAULT_ANNUAL_REWARDS_RATE / rewarder.total_rewards_shares;

        assert_eq!(rewarder.compute_quarry_annual_rewards_rate(0).unwrap(), 0);
        assert_eq!(
            rewarder.compute_quarry_annual_rewards_rate(1).unwrap(),
            tokens_per_share
        );
        assert_eq!(
            rewarder.compute_quarry_annual_rewards_rate(10).unwrap(),
            10 * tokens_per_share
        );
        assert_eq!(
            rewarder.compute_quarry_annual_rewards_rate(100).unwrap(),
            100 * tokens_per_share
        );
        assert_eq!(
            rewarder.compute_quarry_annual_rewards_rate(1_000).unwrap(),
            1_000 * tokens_per_share
        );

        assert_eq!(
            rewarder.compute_quarry_annual_rewards_rate(10_000).unwrap(),
            10_000 * tokens_per_share
        );
        assert_eq!(
            rewarder
                .compute_quarry_annual_rewards_rate(100_000)
                .unwrap(),
            100_000 * tokens_per_share
        );
    }

    #[test]
    fn test_compute_quarry_rewards_rate_with_multiple_quarries_fixed() {
        let rewarder = &mut Rewarder::default();
        rewarder.annual_rewards_rate = DEFAULT_ANNUAL_REWARDS_RATE;
        rewarder.num_quarries = 1_000;

        let mut rng = thread_rng();
        let mut quarry_rewards_shares: Vec<u64> = Vec::new();
        for _ in 0..rewarder.num_quarries {
            let quarry_rewards_share: u32 = rng.gen_range(1..rewarder.annual_rewards_rate as u32);
            add_quarry(rewarder, quarry_rewards_share as u64);
            quarry_rewards_shares.push(quarry_rewards_share.into());
        }

        let mut total_rewards_per_day: u64 = 0;
        for i in 0..rewarder.num_quarries {
            total_rewards_per_day += rewarder
                .compute_quarry_annual_rewards_rate(quarry_rewards_shares[i as usize])
                .unwrap();
        }
        let diff = rewarder.annual_rewards_rate - total_rewards_per_day;

        const MAX_EPSILON: u64 = 30;
        let num_quarries = rewarder.num_quarries as u64;
        let epsilon: u64 = if diff > num_quarries / 2 {
            diff - num_quarries / 2
        } else {
            num_quarries / 2 - diff
        };
        assert!(
            epsilon <= MAX_EPSILON,
            "diff: {}, num_quarries / 2: {}, epsilon: {}",
            diff,
            num_quarries / 2,
            epsilon
        );
    }

    proptest! {
        #[test]
        fn test_compute_rewards_rate_when_total_rewards_shares_is_zero(
            num_quarries in 0..u16::MAX,
            annual_rewards_rate in 0..u64::MAX,
            quarry_rewards_share in 0..u64::MAX,
        ) {
            let rewarder = Rewarder {
                bump: 254,
                num_quarries,
                annual_rewards_rate,
                ..Default::default()
            };
            assert_eq!(rewarder.compute_quarry_annual_rewards_rate(quarry_rewards_share).into_cmp_error(), error!(crate::ErrorCode::InvalidRewardsShare).into_cmp_error());
            assert_eq!(rewarder.compute_quarry_annual_rewards_rate(0).unwrap(), 0);
        }
    }

    proptest! {
        #[test]
        fn test_compute_quarry_rewards_rate_with_multiple_quarries(
            annual_rewards_rate in 0..=MAX_ANNUAL_REWARDS_RATE,
            num_quarries in 0..=u16::MAX,
            total_rewards_shares in 0..=u64::MAX
        ) {
            let rewarder = &mut Rewarder::default();
            rewarder.annual_rewards_rate = annual_rewards_rate;

            let mut rng = thread_rng();
            let mut quarry_rewards_shares: Vec<u64> = Vec::new();

            let mut total_rewards_shares_remaining = total_rewards_shares;
            // add all quarries
            for _ in 0..(num_quarries - 1) {
                let quarry_rewards_share: u64 = rng.gen_range(0..(total_rewards_shares_remaining / (num_quarries as u64)));
                add_quarry(rewarder, quarry_rewards_share);
                quarry_rewards_shares.push(quarry_rewards_share);
                total_rewards_shares_remaining -= quarry_rewards_share;
            }
            // last quarry gets the remaining shares
            add_quarry(rewarder, total_rewards_shares_remaining);
            quarry_rewards_shares.push(total_rewards_shares_remaining);

            let mut total_rewards_per_year: u64 = 0;
            for i in 0..num_quarries {
                total_rewards_per_year += rewarder.compute_quarry_annual_rewards_rate(quarry_rewards_shares[i as usize]).unwrap();
            }
            let diff = rewarder.annual_rewards_rate - total_rewards_per_year;

            // the maximum discrepancy should be the number of quarries
            // each of their rewards can be reduced by 1
            let max_diff: u64 = num_quarries.into();
            assert!(diff <= max_diff, "diff: {}, num quarries: {}", diff, num_quarries);
        }
    }
}