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CAVEAT
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The contract is intended for slow rates of decay (e.g. 2% per month). Very high levels of decay (2% per minute) will lead to overflows, and will need a more flexible implementation to support it.
The contract is written with frequent usage in mind. If used for tokens with low usage freqency (e.g. several days idle), it is recommended to run a continuous process triggering the changePeriod() contract call, to reduce the amount of exponential calculation the application of demurrage will trigger.
When changing the period, the supply for the consecutive period will be taken at the time of code execution, and thus not necessarily at the time when the redistribution period threshold was crossed.

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@node contract
@chapter Smart contract
@section Common interfaces
@subsection ERC standard interfaces
@itemize @bullet
@item
@uref{https://eips.ethereum.org/EIPS/eip-20, ERC20 - Token Standard}
@item
@uref{https://eips.ethereum.org/EIPS/eip-165, ERC165 - Standard Interface Detection}
@item
@uref{https://eips.ethereum.org/EIPS/eip-173, ERC173 - Contract Ownership Standard}
@item
@uref{https://eips.ethereum.org/EIPS/eip-5679, ERC5679 - Token Minting and Burning (as part of CIC.Minter and CIC.Burner)}
@end itemize
@subsection CIC interfaces
@itemize @bullet
@item
@uref{https://git.grassecon.net/cicnet/cic-contracts/src/branch/master/solidity/Burner.sol, Burner}
@item
@uref{https://git.grassecon.net/cicnet/cic-contracts/src/branch/master/solidity/Expire.sol, Expire}
@item
@uref{https://git.grassecon.net/cicnet/cic-contracts/src/branch/master/solidity/Minter.sol, Minter}
@item
@uref{https://git.grassecon.net/cicnet/cic-contracts/src/branch/master/solidity/Seal.sol, Seal}
@item
@uref{https://git.grassecon.net/cicnet/cic-contracts/src/branch/master/solidity/Writer.sol, Writer}
@end itemize
@section Dependencies
The token contract uses the @url{https://github.com/abdk-consulting/abdk-libraries-solidity/blob/master/ABDKMath64x64.sol, ADBKMath} library to calculate exponentials.
@section Permissions
The smart contract defines three levels of access.
@enumerate
@item Voucher contract owner
@item Voucher minter
@item Voucher holder
@end enumerate
@subsection Contract owner
When the contract is published to the network, the signer account of the publishing transaction will be the contract owner.
Contract ownership can be changed by the owner using the @strong{ERC173} standard interface.
@subsection Minter
A minter has access to mint vouchers, and to burn vouchers from its own balance.
Only the contract owner may mint, and may add and remove minters. Minters may be added and removed using the @strong{CIC Writer} interface, as long as the @code{WRITER_STATE} seal is not set. @xref{seal_state, Sealing the contract} for further details.
The contract owner is automatically a minter.
@subsection Holder
Any address may hold vouchers, and transfer vouchers from their balance.
Minters and the contract owner are automatically token holders.
All token holders are subject to demurrage.
@section Publishing the contract
The contract is published with the following arguments:
@table @samp
@item name
ERC20 voucher name
@item symbol
ERC20 voucher symbol
@item decimals
ERC20 decimal count
@item decayLevel
Level of decay per minute. @xref{specifying_demurrage, Specifying demurrage} below for further details.
@item periodMinutes
Number of minutes between each time the demurraged value can be withdrawn to the @emph{Sink Account}. @xref{withdrawing, Withdrawing demurraged value} below for further details. The period may not be altered.
@item defaultSinkAddress
The initial @emph{Sink Address}. The address may be altered as long as the @code{SINK_STATE} seal has not been set. @xref{seal_state, Sealing the contract} for further details.
@end table
@node specifying_demurrage
@subsection Specifying demurrage
The @emph{input parameter} to the contract is a 128-bit positive fixed-point number, where the most significant 64 bits represent the integer part, and the lower 64 bits represents the decimals part, each consecutive lesser bit halving the value of the previous bit.
For example, The byte value @code{00000000 00000002 a0000000 00000000}, representing a zero-stripped binary value of @math{10.101}, translates to the (base 10) decimal value @math{2.625}.
@subsubsection Calculating the demurrage parameter
The minute granularity of the demurrage value is calculating using the continuous decay function.
For example, for a demurrage of 2% per 30 days (43200 minutes), the input value will be:
@math{(1-0.02)^(1/43200) ~ 0.99999953234484737109}
The decimal part of the fixed-point representation of this value is:
@code{fffff8276fb8cfff}
The input parameter becomes:
@code{0000000000000000ffffa957014dc7ff}
@xref{tools, Useful tools} for additional help generating the necessary values.
Note that attempting to publish a voucher contract with no (zero) demurrage will fail (if demurrage is not needed, use another contract).
@section Using the contract
@node withdrawing
@subsection Withdrawing demurrage
After each redistribution period, the demurraged value of that period can be withdrawn to the currently defined @emph{Sink Account}.
The demurrage is calculated as from the total supply of voucher at the end of the period. @xref{sideeffects, Side-effects in state changes}.
To explicitly credit the @emph{Sink Address} with the demurrage value after a period has been exceeded, the @code{changePeriod()} (@code{8f1df6bc}) method can be called.
@node sideeffects
@subsection Side-effects in state changes
All state changes involving voucher values implicitly execute two core methods to ensure application of the demurrage and redistribution.
The two methods are:
@table @code
@item applyDemurrage() (731f237c)
Calculates the demurrage modifier of all balances according to the current timestamp.
@item changePeriod() (8f1df6bc)
If the previously executed period change does not match the current period, the period is changed, and the @emph{Sink Address} is credited with the demurrage amount of the current total supply.
@end table
Examples of state changes that execute these methods include @code{ERC20.transfer(...)}, @code{ERC20.transferFrom(...)} and @code{CIC.mintTo(...)}.
@node seal_state
@subsection Sealing the contract
Certain mutable core parameters of the contract can be @emph{sealed}, meaning prevented from being modifier further.
Sealing is executed using the @code{CIC.Seal} interface.
The sealing of parameters is irreversible.
The sealable parameters are@footnote{Please refer to the contract source code for the numeric values of the state flags}:
@table @code
@item WRITER_STATE
The @code{CIC.Writer} interface is blocked. The effect of this is that no more changes may be made to which accounts have minter permission.
@item SINK_STATE
After setting this seal, the @emph{Sink Address} may not be changed.
@item EXPIRY_STATE
Prevents future changes to the voucher expiry date@footnote{The @code{EXPIRY_STATE} is implicitly set after expiration.}.
@item CAP_STATE
Immediately prevents future voucher minting, regardless of permissions.
@end table
@section Gas usage
Gas usage is constant regardless of the amount of time passed between each execution of demurrage and redistribution period calculations.
@section Caveats
A @code{ERC20.transferFrom(...)} following an @code{ERC20.approve(...)} call, when called across period thresholds, may fail if margin to demurraged amount is insufficient.

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\input texinfo
@settitle ERC20 Demurrage Token
@copying
Released 2023 under AGPL3
@end copying
@titlepage
@title ERC20 Demurrage Token
@author Louis Holbrook
@end titlepage
@c
@contents
@ifnottex
@node Top
@top Introduction
@end ifnottex
@menu
* overview ::
* instructions :
@end menu
@include overview.texi
@include usecase.texi
@include contract.texi
@include tools.texi

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@node overview
@chapter Overview
@verbatim
de-mur-rage
1: the detention of a ship by the freighter beyond the time allowed for loading, unloading, or sailing
2: a charge for detaining a ship, freight car, or truck
@end verbatim
This ERC20 smart contract implementation for the EVM imposes a demurrage on all held token balances.
The demurrage is a continuous value @emph{decay}, subtracted from all balances every minute.
Also. a time period is defined at contract creation time at which the difference between held balances and the demurrage can be withdrawn to a pre-selected address, which in turn can redistribute that token value.
In short: Everyone is taxed a little something every minute, and every so often a decision is made on how to redistribute that tax.
@section Features
@itemize
@item Continuous decay of all balances.
@item Capture and redistribution of decayed balances.
@item Per-minute decay resolution.
@item Minting and burning of vouchers.
@item Grant and revoke access to mint and burn vouchers.
@item Voucher expiration.
@item Constant gas usage across exponential calculations.
@end itemize
@section Nomenclature
@table @samp
@item Demurrage
A percentage of token supply that will continuously be removed.
@item Demurrage Period
A period of time denominated in minutes after which demurraged amounts are available for redistribution.
@item Sink Account
The intermediate beneficiary of the demurraged amount, which may or may not redistribute value.
@item Base balance
The inflated balance of each used which is stored for bookkeeping.
@end table

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@node tools
@chapter Tools

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@node usecase
@chapter Use Case
The use-case inspiring this implementation is in the context of issuance of a @emph{voucher} representing a credit obligation of an @emph{Issuer} or @emph{Association of Issuers}.
This voucher can be redeemed as payment for the products of the Issuer.
The Issuer is the entity legally obligated to redeem the voucher as payment.
Introducing demurrage on this vehicle discourages @emph{withholding} the voucher, for example for speculative advantage.
This also encourages increased @emph{velocity} of voucher use.
@section Example
Given:
@itemize
@item 10 voucher holders.
@item A total supply of 1000 tokens.
@item Demurrage of 2% per 30 days (43200 minutes).
@item Redistribution period of 30 days (43200 minutes).
@end itemize
If no trades are made, the resulting balances after one redistribution period of every user would be 98 Vouchers.
The Sink Address will have a balance of 20 vouchers after the same period.
Note that after the redistribution the total of all balances will equal the total minted amount.
Note that all accounts holding such vouchers are effected by demurrage (even the Sink Account, pending redistribution).