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Fix AMMDeposit formula

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mDuo13
2022-11-22 20:04:30 -08:00
parent 572e0ab3c6
commit ecb8acfafb
3 changed files with 165 additions and 29 deletions
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129
content/_img-sources/amm-single-asset-deposit-formula.uxf Normal file
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@@ -0,0 +1,129 @@
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<panel_attributes>L = T ×</panel_attributes>
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<id>Text</id>
<coordinates>
<x>200</x>
<y>140</y>
<w>160</w>
<h>20</h>
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<panel_attributes>B - (F × (1 - W) × B)</panel_attributes>
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6
content/references/protocol-reference/transactions/transaction-types/ammdeposit.md
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@@ -84,17 +84,17 @@ Any other combination of these fields and flags is invalid.
The formula for how many LP Tokens you receive for a double-asset deposit is:
{{ include_svg("img/amm-single-asset-deposit-formula.svg", "L = T × ( (( (B - (F × (1 - W) × B)) ÷ P)^W) - 1)") }}
{{ include_svg("img/amm-single-asset-deposit-formula.svg", "L = T × ( (( 1 + (B - (F × (1 - W) × B)) ÷ P)^W) - 1)") }}
<!-- TODO: improve graphic -->
Where:
- `L` is the amount of LP Tokens returned
- `T` is the total outstanding LP Tokens before the deposit <!-- TODO: or is it after the deposit? -->
- `T` is the total outstanding LP Tokens before the deposit
- `B` is the amount of the asset being deposited
- `F` is the trading fee, as a decimal
- `W` is the weight of the deposit asset in the pool. This is defined as 0.5 for all AMM pools (meaning a 50/50 split), so exponentiation by W is equivalent to taking the square root.
- `P` is the total amount of the deposit asset in the pool before the deposit <!-- TODO: or is it after the deposit? -->
- `P` is the total amount of the deposit asset in the pool before the deposit
### AMMDeposit Flags

59
img/amm-single-asset-deposit-formula.svg
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@@ -1,7 +1,7 @@
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>B - (F × (1 - W) × B)</text
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