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augmented-tbc-design
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Fix math bugs 

fx
This commit is contained in:
dapplion 2019-08-10 17:21:57 +02:00
parent 9bc519be2d
commit 1c993642af
2 changed files with 76 additions and 38 deletions
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94
src/App.tsx
View File

@ -23,7 +23,7 @@ import {
getMinPrice,
getS,
vest_tokens,
getMinR,
getR,
getSlippage,
getTxDistribution,
getDeltaR_priceGrowth,
@ -127,6 +127,9 @@ const useStyles = makeStyles((theme: Theme) =>
},
descriptionName: {
fontWeight: theme.typography.fontWeightBold
},
descriptionPadding: {
padding: theme.spacing(0.5)
}
})
);
@ -158,6 +161,23 @@ const parameterDescriptions = [
}
];
const simulationParameterDescriptions = [
{
name: "Price",
text: "Price of the token over time."
},
{
name: "Floor price",
text:
"Lower bound of the price guaranteed by the vesting of hatch tokens. It decreases over time as more hatch tokens are allowed to be traded"
},
{
name: "Total exit tributes",
text:
"Cumulative sum of exit tributes collected from only exit /sell transactions"
}
];
const resultParameterDescriptions = [
{
name: "Total reserve",
@ -167,12 +187,12 @@ const resultParameterDescriptions = [
{
name: "Funds generated from initial hatch",
text:
"Fraction of the funds (theta) raised during the hatch that go directly to the cause"
"Fraction of the funds (theta) raised during the hatch that go directly to the cause (analytic result)"
},
{
name: "Funds generated from exit tributes",
text:
"Cumulative amount of exit tributes collected from only exit /sell transactions"
"Cumulative sum of exit tributes collected from only exit /sell transactions"
},
{
name: "Average slippage",
@ -286,10 +306,11 @@ export default function App() {
// enforce the effects of the unvested tokens not being burnable
let u_lower;
if (H === S) {
if (H > S) {
u_lower = 1;
} else {
const R_ratio = getMinR({ S, H, V0, k }) / R;
// compute the reserve if all that supply is burned
const R_ratio = getR({ S: S - H, V0, k }) / R;
u_lower = Math.max(1 - R_ratio, u_min);
}
const priceGrowth = rv_U(u_lower, u_max);
@ -328,11 +349,13 @@ export default function App() {
const _avgTxSize = getMedian(txsWithdraw);
R_t.push(R_next);
S_t.push(S_next);
H_t.push(H_next);
p_t.push(getPriceR({ R: R_next, V0, k }));
slippage_t.push(slippage);
avgTxSize_t.push(_avgTxSize);
wFee_t.push(getLast(wFee_t) + wFees);
H_t.push(H_next);
floorprice_t.push(floorprice_next);
setWithdrawCount(c => c + txsWithdraw.length);
@ -454,13 +477,16 @@ export default function App() {
<Typography variant="h6">Preview</Typography>
<HelpText
text={
<Typography>
Visualization of the token bonding curve analytic function
on a specific range of reserve [0, 4 * R0]. This result is
deterministic given the current set of parameters and will
never change regardes of the campaign performance, it only
shows how the price will react to reserve changes.
</Typography>
<div className={classes.descriptionPadding}>
<Typography>
Visualization of the token bonding curve analytic
function on a specific range of reserve [0, 4 * R0].
This result is deterministic given the current set of
parameters and will never change regardes of the
campaign performance, it only shows how the price will
react to reserve changes.
</Typography>
</div>
}
/>
</Box>
@ -505,14 +531,40 @@ export default function App() {
<Typography variant="h6">Simulation</Typography>
<HelpText
text={
<Typography>
This chart shows a 52 week simulation of discrete
transactions interacting with the token bonding curve.
Each transaction adds or substract reserve to the
system, modifying the price over time. The frequency,
size and direction of each transaction is computed
from a set of bounded random functions.
</Typography>
<div className={classes.descriptionContainer}>
<div className={classes.descriptionPadding}>
<Typography>
This chart shows a 52 week simulation of discrete
transactions interacting with the token bonding
curve. Each transaction adds or substract reserve
to the system, modifying the price over time. The
frequency, size and direction of each transaction
is computed from a set of bounded random
functions.
</Typography>
</div>
<table>
<tbody>
{simulationParameterDescriptions.map(
({ name, text }) => (
<tr key={name}>
<td>
<Typography
className={classes.descriptionName}
>
{name}
</Typography>
</td>
<td>
<Typography>{text}</Typography>
</td>
</tr>
)
)}
</tbody>
</table>
</div>
}
/>
</Box>

20
src/math.ts
View File

@ -23,7 +23,7 @@ export function getInitialParams({
return { k, R0, S0, V0 };
}
function getR({ S, V0, k }: { S: number; V0: number; k: number }) {
export function getR({ S, V0, k }: { S: number; V0: number; k: number }) {
return S ** k / V0;
}
@ -31,21 +31,6 @@ export function getS({ R, V0, k }: { R: number; V0: number; k: number }) {
return (V0 * R) ** (1 / k);
}
// compute the reserve if all that supply is burned
export function getMinR({
S,
H,
V0,
k
}: {
S: number;
H: number;
V0: number;
k: number;
}) {
return getR({ S: S - H, V0, k });
}
// compute the price if all that supply is burned
export function getMinPrice({
S,
@ -63,7 +48,8 @@ export function getMinPrice({
const myP = getPriceR({ R: myR, V0, k }); // numerical precision make complex numbers just suppress it
return Math.abs(myP);
} else {
const minR = getMinR({ S, H, V0, k });
// compute the reserve if all that supply is burned
const minR = getR({ S: S - H, V0, k });
return getPriceR({ R: minR, V0, k });
}
}