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use crate::{
types::{
CoinSelectionOpt, EffectiveValue, OutputGroup, SelectionError, SelectionOutput, WasteMetric,
},
utils::{calculate_fee, calculate_waste, effective_value},
};
use rand::{thread_rng, Rng};
use std::collections::HashSet;
pub fn select_coin_knapsack(
inputs: &[OutputGroup],
options: &CoinSelectionOpt,
) -> Result<SelectionOutput, SelectionError> {
// Calculate base fees with no inputs
let base_fees = calculate_fee(options.base_weight, options.target_feerate).unwrap_or_default();
let adjusted_target =
options.target_value + options.min_change_value + base_fees.max(options.min_absolute_fee);
let mut smaller_coins = inputs
.iter()
.enumerate()
.filter(|&(_, output_group)| output_group.value < adjusted_target)
.map(|(index, output_group)| {
(
index,
output_group.value,
output_group.weight,
effective_value(output_group, options.target_feerate),
)
})
.collect::<Vec<_>>();
// Sort by effective value descending
smaller_coins.sort_by(|(_, _, _, a), (_, _, _, b)| b.unwrap_or(0).cmp(&a.unwrap_or(0)));
let smaller_coins: Vec<_> = smaller_coins
.into_iter()
.filter_map(|(index, value, weight, eff_value)| {
eff_value.ok().map(|v| (index, value, weight, v))
})
.collect();
knap_sack(&smaller_coins, adjusted_target, options)
}
fn knap_sack(
smaller_coins: &[(usize, u64, u64, EffectiveValue)],
adjusted_target: u64,
options: &CoinSelectionOpt,
) -> Result<SelectionOutput, SelectionError> {
let mut selected_inputs: HashSet<usize> = HashSet::new();
let mut accumulated_value: u64 = 0;
let mut accumulated_weight: u64 = 0;
let mut best_set: HashSet<usize> = HashSet::new();
let mut best_set_value: u64 = u64::MAX;
let mut best_set_weight: u64 = 0;
let mut rng = thread_rng();
for _ in 1..=1000 {
for pass in 1..=2 {
for &(index, value, weight, _eff_value) in smaller_coins {
let toss_result: bool = rng.gen_bool(0.5);
if (pass == 2 && !selected_inputs.contains(&index)) || (pass == 1 && toss_result) {
selected_inputs.insert(index);
accumulated_value += value;
accumulated_weight += weight;
// Calculate current fees and required value
let estimated_fees = calculate_fee(accumulated_weight, options.target_feerate)?;
let required_value = adjusted_target + estimated_fees;
if accumulated_value == required_value {
let waste = calculate_waste(
options,
accumulated_value,
accumulated_weight,
estimated_fees,
);
let index_vector: Vec<usize> = selected_inputs.into_iter().collect();
return Ok(SelectionOutput {
selected_inputs: index_vector,
waste: WasteMetric(waste),
});
} else if accumulated_value >= required_value {
if accumulated_value < best_set_value {
best_set_value = accumulated_value;
best_set_weight = accumulated_weight;
best_set.clone_from(&selected_inputs);
}
selected_inputs.remove(&index);
accumulated_value -= value;
accumulated_weight -= weight;
}
}
}
}
accumulated_value = 0;
accumulated_weight = 0;
selected_inputs.clear();
}
if best_set_value == u64::MAX {
Err(SelectionError::NoSolutionFound)
} else {
let estimated_fees = calculate_fee(best_set_weight, options.target_feerate)?;
let waste = calculate_waste(options, best_set_value, best_set_weight, estimated_fees);
let index_vector: Vec<usize> = best_set.into_iter().collect();
Ok(SelectionOutput {
selected_inputs: index_vector,
waste: WasteMetric(waste),
})
}
}
#[cfg(test)]
mod test {
use crate::{
algorithms::knapsack::select_coin_knapsack,
types::{CoinSelectionOpt, ExcessStrategy, OutputGroup, SelectionError},
utils::calculate_fee,
};
const CENT: f64 = 1000000.0;
const COIN: f64 = 100000000.0;
const RUN_TESTS: u32 = 100;
const RUN_TESTS_SLIM: u32 = 10;
fn knapsack_setup_options(adjusted_target: u64, target_feerate: f32) -> CoinSelectionOpt {
let min_change_value = 500;
let base_weight = 10;
let target_value = adjusted_target
- min_change_value
- calculate_fee(base_weight, target_feerate).unwrap_or_default();
CoinSelectionOpt {
target_value,
target_feerate, // Simplified feerate
long_term_feerate: Some(0.4),
min_absolute_fee: 0,
base_weight,
change_weight: 50,
change_cost: 10,
avg_input_weight: 20,
avg_output_weight: 10,
min_change_value,
excess_strategy: ExcessStrategy::ToChange,
}
}
fn knapsack_setup_output_groups(
value: Vec<u64>,
weights: Vec<u64>,
target_feerate: f32,
) -> Vec<OutputGroup> {
let mut inputs: Vec<OutputGroup> = Vec::new();
for (i, j) in value.into_iter().zip(weights.into_iter()) {
// input value = effective value + fees
// Example If we want our input to be equal to 1 CENT while being considered by knapsack(effective value), we have to increase the input by the fees to beginwith
let k = i.saturating_add(calculate_fee(j, target_feerate).unwrap_or_default());
inputs.push(OutputGroup {
value: k,
weight: j,
input_count: 1,
creation_sequence: None,
})
}
inputs
}
fn knapsack_add_to_output_group(
inputs: &mut Vec<OutputGroup>,
value: Vec<u64>,
weights: Vec<u64>,
target_feerate: f32,
) {
for (i, j) in value.into_iter().zip(weights.into_iter()) {
// input value = effective value + fees
// Example If we want our input to be equal to 1 CENT while being considered by knapsack(effective value), we have to increase the input by the fees to beginwith
let k = i.saturating_add(calculate_fee(j, target_feerate).unwrap_or_default());
inputs.push(OutputGroup {
value: k,
weight: j,
input_count: 1,
creation_sequence: None,
})
}
}
fn knapsack_test_vectors() {
let mut inputs_verify: Vec<usize> = Vec::new();
for _ in 0..RUN_TESTS {
// Test if Knapsack retruns an Error
let mut inputs: Vec<OutputGroup> = Vec::new();
let mut options = knapsack_setup_options(1000, 0.33);
let mut result = select_coin_knapsack(&inputs, &options);
assert!(matches!(result, Err(SelectionError::NoSolutionFound)));
// Adding 2 CENT and 1 CENT to the wallet and testing if knapsack can select the two inputs for a 3 CENT Output
inputs = knapsack_setup_output_groups(
vec![(2.0 * CENT).round() as u64, (1.0 * CENT).round() as u64],
vec![130, 100],
0.56,
);
options = knapsack_setup_options((3.0 * CENT).round() as u64, 0.56);
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
// Checking if knapsack selectes exactly two inputs
assert_eq!(result.selected_inputs.len(), 2);
// Checking if the selected inputs are 2 and 1 CENTS
inputs_verify = vec![0, 1];
assert!(inputs_verify
.iter()
.all(|&item| result.selected_inputs.contains(&item)));
}
inputs_verify.clear();
// Adding 20, 10 and 5 CENT to the wallet, totalling 38 CENTS
knapsack_add_to_output_group(
&mut inputs,
vec![
(5.0 * CENT).round() as u64,
(10.0 * CENT).round() as u64,
(20.0 * CENT).round() as u64,
],
vec![100, 10, 50],
0.56,
);
// Testing if knapsack can select 4 inputs (2,5,10,20) CENTS to make 37 CENTS
options = knapsack_setup_options((37.0 * CENT).round() as u64, 0.56);
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
// Checking if knapsack selects exactly 4 inputs
assert_eq!(result.selected_inputs.len(), 4);
// Checking if the selected inputs are 20, 10, 5, 2 CENTS
inputs_verify = vec![4, 3, 2, 0];
assert!(inputs_verify
.iter()
.all(|&item| result.selected_inputs.contains(&item)));
}
inputs_verify.clear();
// Testing if knapsack can select all the available inputs (2,1,5,10,20) CENTS to make 38 CENTS
options = knapsack_setup_options((38.0 * CENT).round() as u64, 0.56);
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
// Cehcking if knapsack selects exactly 5 inputs
assert_eq!(result.selected_inputs.len(), 5);
// Cehcking if the selected inputs are 20, 10, 5, 2, 1 CENTS
inputs_verify = vec![4, 3, 2, 1, 0];
assert!(inputs_verify
.iter()
.all(|&item| result.selected_inputs.contains(&item)));
}
inputs_verify.clear();
// Testing if knapsack can select 3 inputs (5,10,20) CENTS to make 34 CENTS
options = knapsack_setup_options((34.0 * CENT).round() as u64, 0.56);
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
// Checking if knapsack selects exactly 3 inputs
assert_eq!(result.selected_inputs.len(), 3);
// Cehcking if the selected inputs are 20, 10, 5
inputs_verify = vec![4, 3, 2];
assert!(inputs_verify
.iter()
.all(|&item| result.selected_inputs.contains(&item)));
}
inputs_verify.clear();
// Testing if knapsack can select 2 inputs (5,2) CENTS to make 7 CENTS
options = knapsack_setup_options((7.0 * CENT).round() as u64, 0.56);
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
// Chekcing if knapsack selects exactly 2 inputs
assert_eq!(result.selected_inputs.len(), 2);
// Checking if the selected inputs are 5, 2 CENTS
inputs_verify = vec![0, 2];
assert!(inputs_verify
.iter()
.all(|&item| result.selected_inputs.contains(&item)));
}
inputs_verify.clear();
// Testing if knapsack can select 3 inputs (5,2,1) CENTS to make 8 CENTS
options = knapsack_setup_options((8.0 * CENT).round() as u64, 0.56);
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
// Chekcing if knapsack selects exactly 3 inputs
assert_eq!(result.selected_inputs.len(), 3);
// Checking if the selected inputs are 5,2,1 CENTS
inputs_verify = vec![0, 2, 1];
assert!(inputs_verify
.iter()
.all(|&item| result.selected_inputs.contains(&item)));
}
inputs_verify.clear();
// Testing if knapsack can select 1 input (10) CENTS to make 9 CENTS
options = knapsack_setup_options((10.0 * CENT).round() as u64, 0.56);
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
// Chekcing if knapsack selects exactly 1 inputs
assert_eq!(result.selected_inputs.len(), 1);
// Checking if the selected inputs are 10 CENTS
inputs_verify = vec![10];
assert!(inputs_verify
.iter()
.all(|&item| result.selected_inputs.contains(&item)));
}
inputs_verify.clear();
// Clearing the input vector
inputs.clear();
// Adding 30, 20, 8, 7,6 CENT to the wallet, totalling 71 CENTS
// Adding 0.001 CENT to the inputs to account for fees
inputs = knapsack_setup_output_groups(
vec![
(6.0 * CENT).round() as u64,
(7.0 * CENT).round() as u64,
(8.0 * CENT).round() as u64,
(20.0 * CENT).round() as u64,
(30.0 * CENT).round() as u64,
],
vec![100, 200, 100, 10, 5],
0.77,
);
// Testing if Knapsack returns an Error while trying to select inputs totalling 72 CENTS
options = knapsack_setup_options((72.0 * CENT).round() as u64, 0.77);
result = select_coin_knapsack(&inputs, &options);
assert!(matches!(result, Err(SelectionError::NoSolutionFound)));
// Testing if knapsack can select 3 input (6,7,8) CENTS to make 16 CENTS
options = knapsack_setup_options((16.0 * CENT).round() as u64, 0.77);
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
// Chekcing if knapsack selects exactly 3 inputs
assert_eq!(result.selected_inputs.len(), 3);
// Checking if the selected inputs are 6,7,8 CENTS
inputs_verify = vec![0, 1, 2];
assert!(inputs_verify
.iter()
.all(|&item| result.selected_inputs.contains(&item)));
}
inputs_verify.clear();
// Adding 5 CENT to the wallet, totalling 76 CENTS
knapsack_add_to_output_group(
&mut inputs,
vec![(5.0 * CENT).round() as u64],
vec![10],
0.77,
);
// Testing if knapsack can select 3 input (5,6,7) CENTS to make 16 CENTS
options = knapsack_setup_options((16.0 * CENT).round() as u64, 0.77);
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
// Chekcing if knapsack selects exactly 3 inputs
assert_eq!(result.selected_inputs.len(), 3);
// Checking if the selected inputs are 6,7,8 CENTS
inputs_verify = vec![0, 1, 5];
assert!(inputs_verify
.iter()
.all(|&item| result.selected_inputs.contains(&item)));
}
inputs_verify.clear();
// Adding 18 CENT to the wallet, totalling 94 CENTS
knapsack_add_to_output_group(
&mut inputs,
vec![(18.0 * CENT).round() as u64],
vec![1],
0.77,
);
// Testing if knapsack can select 2 input (5,6) CENTS to make 11 CENTS
options = knapsack_setup_options((11.0 * CENT).round() as u64, 0.77);
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
// Chekcing if knapsack selects exactly 2 inputs
assert_eq!(result.selected_inputs.len(), 2);
// Checking if the selected input is 5,6 CENTS
inputs_verify = vec![0, 5];
assert!(inputs_verify
.iter()
.all(|&item| result.selected_inputs.contains(&item)));
}
inputs_verify.clear();
// Clearing the input vector
inputs.clear();
// Adding 0.1, 0.2, 0.3, 0.4, 0.5 CENT to the wallet, totalling 1.5 CENTS
inputs = knapsack_setup_output_groups(
vec![
(0.101 * CENT).round() as u64,
(0.201 * CENT).round() as u64,
(0.301 * CENT).round() as u64,
(0.401 * CENT).round() as u64,
(0.501 * CENT).round() as u64,
],
vec![14, 45, 6, 10, 100],
0.56,
);
// Testing if knapsack can select 3 input (0.1, 0.4, 0.5| 0.2, 0.3, 0.5) CENTS to make 1 CENTS
options = knapsack_setup_options((1.0 * CENT).round() as u64, 0.56);
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
// Chekcing if knapsack selects exactly 3 inputs
assert_eq!(result.selected_inputs.len(), 3);
// Checking if the selected input is 0.1,0.4,0.5 CENTS
inputs_verify = vec![0, 3, 4];
let valid_inputs_1 = inputs_verify
.iter()
.all(|&item| result.selected_inputs.contains(&item));
inputs_verify.clear();
inputs_verify = vec![1, 2, 4];
let valid_inputs_2 = inputs_verify
.iter()
.all(|&item| result.selected_inputs.contains(&item));
assert!(valid_inputs_1 || valid_inputs_2);
}
inputs_verify.clear();
// Mt.Gox Test
inputs.clear();
// Adding 11, 50,000 COINS to the input
inputs = knapsack_setup_output_groups(
vec![
(50000.0 * COIN).round() as u64,
(50000.0 * COIN).round() as u64,
(50000.0 * COIN).round() as u64,
(50000.0 * COIN).round() as u64,
(50000.0 * COIN).round() as u64,
(50000.0 * COIN).round() as u64,
(50000.0 * COIN).round() as u64,
(50000.0 * COIN).round() as u64,
(50000.0 * COIN).round() as u64,
(50000.0 * COIN).round() as u64,
(50000.0 * COIN).round() as u64,
],
vec![1, 20, 3, 200, 150, 5, 88, 93, 101, 34, 17],
0.59,
);
// Testing if knapsack can select 10 inputs to make 500,000 COINS
options = knapsack_setup_options((500000.0 * COIN).round() as u64, 0.59);
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
// Chekcing if knapsack selects exactly 10 inputs
assert_eq!(result.selected_inputs.len(), 10);
}
// Clearing the input vectors
inputs.clear();
// Adding 0.4, 0.6, 0.8, 1111 CENTS to the wallet totalling 1112.8 CENTS
inputs = knapsack_setup_output_groups(
vec![
(0.4 * CENT).round() as u64,
(0.6 * CENT).round() as u64,
(0.8 * CENT).round() as u64,
(1111.0 * CENT).round() as u64,
],
vec![14, 45, 6, 10],
0.56,
);
// Testing if knapsack can select 2 input (0.4,0.6) CENTS to make 1 CENTs
options = knapsack_setup_options((1.0 * CENT).round() as u64, 0.56);
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
// Chekcing if knapsack selects exactly 2 inputs
assert_eq!(result.selected_inputs.len(), 2);
// Checking if the selected input is 0.4,0.6 CENTS
inputs_verify = vec![0, 1];
assert!(inputs_verify
.iter()
.all(|&item| result.selected_inputs.contains(&item)));
}
inputs_verify.clear();
// Clearing the input vectors
inputs.clear();
// Adding 0.05, 1, 100 CENTS to the wallet totalling 101.05 CENTS
inputs = knapsack_setup_output_groups(
vec![
(100.0 * CENT).round() as u64,
(1.0 * CENT).round() as u64,
(0.05 * CENT).round() as u64,
],
vec![14, 45, 6],
0.56,
);
// Testing if knapsack can select 2 input (100,1) CENTS to make 100.01 CENTs, therby avoiding creating small change if 100 & 0.05 is chosen
options = CoinSelectionOpt {
target_value: (100.01 * CENT).round() as u64,
target_feerate: 0.56, // Simplified feerate
long_term_feerate: Some(0.4),
min_absolute_fee: 0,
base_weight: 10,
change_weight: 50,
change_cost: 10,
avg_input_weight: 20,
avg_output_weight: 10,
min_change_value: (0.05 * CENT).round() as u64, // Setting minimum change value = 0.05 CENT. This will make the algorithm to avoid creating small change.
excess_strategy: ExcessStrategy::ToChange,
};
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
// Chekcing if knapsack selects exactly 2 inputs
assert_eq!(result.selected_inputs.len(), 2);
// Checking if the selected input is 0.4,0.6 CENTS
inputs_verify = vec![0, 1];
assert!(inputs_verify
.iter()
.all(|&item| result.selected_inputs.contains(&item)));
}
inputs_verify.clear();
// Clearing the input vectors
inputs.clear();
}
// Test with multiple inputs
let mut inputs: Vec<OutputGroup> = Vec::new();
let mut amt = 1500;
// Increase the input amoutn startig from 1500 Sats to COIN = 100000000 Sats in multiples of 10
while amt < COIN as u64 {
inputs.clear();
// Declare value and weights vectors
let mut input_value: Vec<u64> = Vec::new();
let mut input_weight: Vec<u64> = Vec::new();
for _ in 0..676 {
// Populate the vectors with the same value 'amt' and weight = 23 for 676 times
// Using 676 as (old MAX_STANDARD_TX_SIZE = 100000)/(148 bytes per input) = 676
input_value.push(amt);
input_weight.push(23);
}
let inputs = knapsack_setup_output_groups(input_value, input_weight, 0.34);
// Setting the selection target to 2000 sats
let options = knapsack_setup_options(2000, 0.34);
// performing the assertion operation 10 times
for _ in 0..RUN_TESTS_SLIM {
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
if let Some(amt_in_inputs) = inputs.first() {
// Checking if the (input's value) - 2000 is less than CENT
// If so, more than one input is required to meet the selection target of 2000 sats
if amt_in_inputs.value.checked_sub(2000) < Some(CENT as u64) {
// calculating the no.of inputs that will be required to meet the selection target of 2000 sats
let return_size = ((2000.0) / amt as f64).ceil();
assert_eq!(result.selected_inputs.len(), return_size as usize);
} else {
// If (input's value) - 2000 is greater than CENT, then only one input is required to meet the selection target of 2000 sats
assert_eq!(result.selected_inputs.len(), 1);
}
} else {
println!("unable to access 0th element of input vector");
}
}
}
amt *= 10;
}
inputs.clear();
// Testing for Randomness
// Declare input value and weights vectors
let mut input_value: Vec<u64> = Vec::new();
let mut input_weight: Vec<u64> = Vec::new();
for _ in 0..=100 {
// Populate the vectors with the same value, COIN = 100000000 sats, and weight = 23 for 100 times (to create 100 identical inputs)
input_value.push(COIN as u64);
input_weight.push(23);
}
// Setting up inputs
let mut inputs = knapsack_setup_output_groups(input_value, input_weight, 0.34);
// Setting the selection target to 50*COIN sats
let options = knapsack_setup_options((50.0 * COIN).round() as u64, 0.34);
let mut selected_input_1: Vec<usize> = Vec::new();
let mut selected_input_2: Vec<usize> = Vec::new();
for _ in 0..RUN_TESTS {
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
selected_input_1.clone_from(&result.selected_inputs);
}
if let Ok(result) = select_coin_knapsack(&inputs, &options) {
selected_input_2.clone_from(&result.selected_inputs);
}
// Checking if the selected inputs, in two consequtive calls of the knapsack function are not the same
assert_ne!(selected_input_1, selected_input_2);
}
selected_input_1.clear();
selected_input_2.clear();
// Adding 5, 10, 15, 20, 25 CENT to the wallet, Totalling 175,000,000 SATS
knapsack_add_to_output_group(
&mut inputs,
vec![
(5.0 * CENT).round() as u64,
(10.0 * CENT).round() as u64,
(15.0 * CENT).round() as u64,
(20.0 * CENT).round() as u64,
(25.0 * CENT).round() as u64,
],
vec![100, 10, 50, 52, 13],
0.34,
);
}
#[test]
fn test_knapsack() {
knapsack_test_vectors();
}
}