为了实际项目中,解决相对有限资源,异步动态价格交换的问题,测试下Bancor 算法
从EOS系统合约中,抽离出测试代码如下
#include <iostream>
#include <cmath>
#include <list>
typedef double real_type;
int64_t supply_amount = 10000000000000ll; // RAMCORE
struct connector {
int64_t balance;
double weight = .5;
};
int64_t convert_from_exchange( connector& reserve, const int64_t& tokens_amount )
{
const double R0 = reserve.balance;
const double S0 = supply_amount;
const double dS = -tokens_amount; // dS < 0, tokens are subtracted from supply
const double Fi = double(1) / reserve.weight;
double dR = R0 * ( std::pow(1. + dS / S0, Fi) - 1. ); // dR < 0 since dS < 0
if ( dR > 0 ) dR = 0; // rounding errors
reserve.balance -= int64_t(-dR);
supply_amount -= tokens_amount;
return int64_t(-dR);
}
int64_t convert_to_exchange( connector& reserve, const int64_t& tokens_amount )
{
const double S0 = supply_amount;
const double R0 = reserve.balance;
const double dR = tokens_amount; // dS < 0, tokens are subtracted from supply
const double F = reserve.weight;
double dS = S0 * ( std::pow(1. + dR / R0, F) - 1. );
if ( dS < 0 ) dS = 0; // rounding errors
reserve.balance += tokens_amount;
supply_amount += int64_t(dS);
return int64_t(dS);
}
// RAM / EOS
int main() {
struct connector base; // RAM
base.balance = 90091267903;
struct connector quote;
quote.balance = 56842445020ll; // EOS
int64_t ram_byte = 0;
int64_t tokens_amount = 10000000000;
int64_t total_tokens_amount = 0;
int64_t total_ram_byte = 0;
int total_num = 10; // 测试循环次数
std::list <int64_t > list_ram_byte;
// Buy EOS->RAM
int64_t tmp = 0;
for (int i = 0; i < total_num; ++i) {
tmp = convert_to_exchange( quote, tokens_amount );
ram_byte = convert_from_exchange( base, tmp );
total_ram_byte += ram_byte;
list_ram_byte.push_back(ram_byte);
total_tokens_amount += tokens_amount;
std::cout << "Buy EOS->RAM " << ram_byte << std::endl;
}
for (int i = 0; i < total_num; ++i) {
tmp = convert_to_exchange( base, list_ram_byte.back() );
list_ram_byte.pop_back();
tokens_amount = convert_from_exchange( quote, tmp );
std::cout << "One Sell RAM->EOS " << tokens_amount << std::endl;
}
// Sell RAM->EOS
//tmp = convert_to_exchange( base, total_ram_byte );
//tokens_amount = convert_from_exchange( quote, tmp );
//std::cout << "One Sell RAM->EOS " << tokens_amount << std::endl;
return 0;
}
测试结果如下
Buy EOS->RAM 13478152673
Buy EOS->RAM 9970155844
Buy EOS->RAM 7674007724
Buy EOS->RAM 6089163862
Buy EOS->RAM 4949324006
Buy EOS->RAM 4102144882
Buy EOS->RAM 3455335389
Buy EOS->RAM 2950326086
Buy EOS->RAM 2548490488
Buy EOS->RAM 2223515894
Sell RAM->EOS 9999999996
Sell RAM->EOS 10000000000
Sell RAM->EOS 9999999999
Sell RAM->EOS 10000000000
Sell RAM->EOS 9999999998
Sell RAM->EOS 10000000000
Sell RAM->EOS 9999999999
Sell RAM->EOS 10000000000
Sell RAM->EOS 10000000000
Sell RAM->EOS 10000000001
符合预期,剩余资源越少,价格越高的需求
参考
https://zhuanlan.zhihu.com/p/40162089
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