git.delta.rocks / unique-network / refs/commits / 1aa9f363fc18

9  }9  }
1010
11  mul(other: Fract) {11  mul(other: Fract) {
12    return new Fract(this.a * other.a, this.b * other.b);12    return new Fract(this.a * other.a, this.b * other.b).optimize();
13  }13  }
1414
15  div(other: Fract) {15  div(other: Fract) {
16    return this.mul(other.inv());16    return this.mul(other.inv());
17  }17  }
1818
19  plus(other: Fract) {19  plus(other: Fract) {
20    if (this.b === other.b) {
21      return new Fract(this.a + other.a, this.b);
22    }
20    return new Fract(this.a * other.b + other.a * this.b, this.b * other.b);23    return new Fract(this.a * other.b + other.a * this.b, this.b * other.b).optimize();
21  }24  }
2225
23  minus(other: Fract) {26  minus(other: Fract) {
28    return new Fract(-this.a, this.b);31    return new Fract(-this.a, this.b);
29  }32  }
30  inv() {33  inv() {
34    if (this.a < 0) {
35      return new Fract(-this.b, -this.a);
36    } else {
31    return new Fract(this.b, this.a);37      return new Fract(this.b, this.a);
32  }38    }
39  }
40
41  optimize() {
42    function gcd(x: bigint, y: bigint) {
43      if (x < 0n)
44        x = -x;
45      if (y < 0n)
46        y = -y;
47      while(y) {
48        const t = y;
49        y = x % y;
50        x = t;
51      }
52      return x;
53    }
54    const v = gcd(this.a, this.b);
55    return new Fract(this.a / v, this.b / v);
56  }
3357
34  toBigInt() {58  toBigInt() {
35    return this.a / this.b;59    return this.a / this.b;
36  }60  }
61  toNumber() {
62    const v = this.optimize();
63    return Number(v.a) / Number(v.b);
64  }
65  toString() {
66    const v = this.optimize();
67    return `${v.a} / ${v.b}`;
68  }
3769
38  lt(other: Fract) {70  lt(other: Fract) {
39    return this.a * other.b < other.a * this.b;71    return this.a * other.b < other.a * this.b;
142174
143const hypothesisLinear = (a: Fract, b: Fract) => (x: Fract) => rpn(x, a, '*', b, '+');175const hypothesisLinear = (a: Fract, b: Fract) => (x: Fract) => rpn(x, a, '*', b, '+');
144176
145// JS has no builtin function to calculate sqrt of bigint
146// https://stackoverflow.com/a/53684036/6190169
147function error(points: { x: Fract, y: Fract }[], hypothesis: (a: Fract) => Fract) {177function error(points: { x: Fract, y: Fract }[], hypothesis: (a: Fract) => Fract) {
148  return points.map(p => {178  return points.map(p => {
149    const v = hypothesis(p.x);179    const v = hypothesis(p.x);
165    await token.transfer(alice, {Substrate: bob.address});195    await token.transfer(alice, {Substrate: bob.address});
166    const aliceBalanceAfter = await helper.balance.getSubstrate(alice.address);196    const aliceBalanceAfter = await helper.balance.getSubstrate(alice.address);
167197
168    console.log(`\t[NFT Transfer] Original price: ${Number(aliceBalanceBefore - aliceBalanceAfter) / Number(helper.balance.getOneTokenNominal())} UNQ`);198    console.log(`\t[NFT transfer] Original price: ${Number(aliceBalanceBefore - aliceBalanceAfter) / Number(helper.balance.getOneTokenNominal())} UNQ`);
169  }199  }
170200
171  const api = helper.getApi();201  const api = helper.getApi();
188  const {a, b} = linearRegression(dataPoints);218  const {a, b} = linearRegression(dataPoints);
189219
190  const hyp = hypothesisLinear(a, b);220  const hyp = hypothesisLinear(a, b);
191  console.log(`Error: ${error(dataPoints, hyp)}`);221  console.log(`\t[NFT transfer] Error: ${error(dataPoints, hyp).toNumber()}`);
192222
193  // 0.1 UNQ223  // 0.1 UNQ
194  const perfectValue = hyp(rpn(new Fract(helper.balance.getOneTokenNominal()), new Fract(1n, 10n), '*'));224  const perfectValue = hyp(rpn(new Fract(helper.balance.getOneTokenNominal()), new Fract(1n, 10n), '*'));
201    await token.transfer(alice, {Substrate: bob.address});231    await token.transfer(alice, {Substrate: bob.address});
202    const aliceBalanceAfter = await helper.balance.getSubstrate(alice.address);232    const aliceBalanceAfter = await helper.balance.getSubstrate(alice.address);
203233
204    console.log(`\t[NFT Transfer] Calibrated price: ${Number(aliceBalanceBefore - aliceBalanceAfter) / Number(helper.balance.getOneTokenNominal())} UNQ`);234    console.log(`\t[NFT transfer] Calibrated price: ${Number(aliceBalanceBefore - aliceBalanceAfter) / Number(helper.balance.getOneTokenNominal())} UNQ`);
205  }235  }
206}236}
207237
246  const {a, b} = linearRegression(dataPoints);276  const {a, b} = linearRegression(dataPoints);
247277
248  const hyp = hypothesisLinear(a, b);278  const hyp = hypothesisLinear(a, b);
249  console.log(`Error: ${error(dataPoints, hyp)}`);279  console.log(`\t[ETH NFT transfer] Error: ${error(dataPoints, hyp).toNumber()}`);
250280
251  // 0.15 UNQ281  // 0.15 UNQ
252  const perfectValue = hyp(rpn(new Fract(helper.balance.getOneTokenNominal()), new Fract(15n, 100n), '*'));282  const perfectValue = hyp(rpn(new Fract(helper.balance.getOneTokenNominal()), new Fract(15n, 100n), '*'));