staking: Flexible generation of reward curve and associated tweaks (#8327)

* Initial abstraction

* Alter rest of APIs

* Fixes

* Some extra getters in Gilt pallet.

* Refactor Gilt to avoid u128 conversions

* Simplify and improve pow in per_things

* Add scalar division to per_things

* Renaming from_fraction -> from_float, drop _approximation

* Fixes

* Fixes

* Fixes

* Fixes

* Make stuff build

* Fixes

* Fixes

* Fixes

* Fixes

* Update .gitignore

Co-authored-by: Kian Paimani <5588131+kianenigma@users.noreply.github.com>

* Update frame/gilt/src/lib.rs

Co-authored-by: Kian Paimani <5588131+kianenigma@users.noreply.github.com>

* Update frame/gilt/src/mock.rs

Co-authored-by: Kian Paimani <5588131+kianenigma@users.noreply.github.com>

* Fixes

* Fixes

* Fixes

Co-authored-by: Shawn Tabrizi <shawntabrizi@gmail.com>
Co-authored-by: Kian Paimani <5588131+kianenigma@users.noreply.github.com>
This commit is contained in:
Gavin Wood
2021-03-16 13:03:58 +01:00
committed by GitHub
parent b6c626399e
commit 363db4f086
32 changed files with 342 additions and 226 deletions
@@ -376,7 +376,7 @@ macro_rules! implement_fixed {
}
#[cfg(any(feature = "std", test))]
pub fn from_fraction(x: f64) -> Self {
pub fn from_float(x: f64) -> Self {
Self((x * (<Self as FixedPointNumber>::DIV as f64)) as $inner_type)
}
+1 -1
View File
@@ -494,7 +494,7 @@ mod threshold_compare_tests {
fn peru16_rational_does_not_overflow() {
// A historical example that will panic only for per_thing type that are created with
// maximum capacity of their type, e.g. PerU16.
let _ = PerU16::from_rational_approximation(17424870u32, 17424870);
let _ = PerU16::from_rational(17424870u32, 17424870);
}
#[test]
+162 -114
View File
@@ -18,8 +18,9 @@
#[cfg(feature = "std")]
use serde::{Serialize, Deserialize};
use sp_std::{ops, fmt, prelude::*, convert::TryInto};
use sp_std::{ops, fmt, prelude::*, convert::{TryFrom, TryInto}};
use codec::{Encode, CompactAs};
use num_traits::Pow;
use crate::traits::{
SaturatedConversion, UniqueSaturatedInto, Saturating, BaseArithmetic, Bounded, Zero, Unsigned,
One,
@@ -36,6 +37,7 @@ pub type UpperOf<P> = <P as PerThing>::Upper;
/// `X`_.
pub trait PerThing:
Sized + Saturating + Copy + Default + Eq + PartialEq + Ord + PartialOrd + Bounded + fmt::Debug
+ ops::Div<Output=Self> + ops::Mul<Output=Self> + Pow<usize, Output=Self>
{
/// The data type used to build this per-thingy.
type Inner: BaseArithmetic + Unsigned + Copy + Into<u128> + fmt::Debug;
@@ -70,14 +72,14 @@ pub trait PerThing:
fn from_percent(x: Self::Inner) -> Self {
let a: Self::Inner = x.min(100.into());
let b: Self::Inner = 100.into();
Self::from_rational_approximation::<Self::Inner>(a, b)
Self::from_rational::<Self::Inner>(a, b)
}
/// Return the product of multiplication of this value by itself.
fn square(self) -> Self {
let p = Self::Upper::from(self.deconstruct());
let q = Self::Upper::from(Self::ACCURACY);
Self::from_rational_approximation::<Self::Upper>(p * p, q * q)
Self::from_rational::<Self::Upper>(p * p, q * q)
}
/// Return the part left when `self` is saturating-subtracted from `Self::one()`.
@@ -204,7 +206,12 @@ pub trait PerThing:
/// Converts a fraction into `Self`.
#[cfg(feature = "std")]
fn from_fraction(x: f64) -> Self;
fn from_float(x: f64) -> Self;
/// Same as `Self::from_float`.
#[deprecated = "Use from_float instead"]
#[cfg(feature = "std")]
fn from_fraction(x: f64) -> Self { Self::from_float(x) }
/// Approximate the fraction `p/q` into a per-thing fraction. This will never overflow.
///
@@ -219,16 +226,28 @@ pub trait PerThing:
/// # fn main () {
/// // 989/100 is technically closer to 99%.
/// assert_eq!(
/// Percent::from_rational_approximation(989u64, 1000),
/// Percent::from_rational(989u64, 1000),
/// Percent::from_parts(98),
/// );
/// # }
/// ```
fn from_rational_approximation<N>(p: N, q: N) -> Self
fn from_rational<N>(p: N, q: N) -> Self
where
N: Clone + Ord + TryInto<Self::Inner> + TryInto<Self::Upper> +
ops::Div<N, Output=N> + ops::Rem<N, Output=N> + ops::Add<N, Output=N> + Unsigned,
Self::Inner: Into<N>;
/// Same as `Self::from_rational`.
#[deprecated = "Use from_rational instead"]
fn from_rational_approximation<N>(p: N, q: N) -> Self
where
N: Clone + Ord + TryInto<Self::Inner> + TryInto<Self::Upper>
+ ops::Div<N, Output=N> + ops::Rem<N, Output=N> + ops::Add<N, Output=N> + Unsigned
+ Zero + One,
Self::Inner: Into<N>,
{
Self::from_rational(p, q)
}
}
/// The rounding method to use.
@@ -369,11 +388,11 @@ macro_rules! implement_per_thing {
/// NOTE: saturate to 0 or 1 if x is beyond `[0, 1]`
#[cfg(feature = "std")]
fn from_fraction(x: f64) -> Self {
fn from_float(x: f64) -> Self {
Self::from_parts((x.max(0.).min(1.) * $max as f64) as Self::Inner)
}
fn from_rational_approximation<N>(p: N, q: N) -> Self
fn from_rational<N>(p: N, q: N) -> Self
where
N: Clone + Ord + TryInto<Self::Inner> + TryInto<Self::Upper>
+ ops::Div<N, Output=N> + ops::Rem<N, Output=N> + ops::Add<N, Output=N> + Unsigned
@@ -471,20 +490,31 @@ macro_rules! implement_per_thing {
PerThing::square(self)
}
/// See [`PerThing::from_fraction`].
/// See [`PerThing::from_float`].
#[cfg(feature = "std")]
pub fn from_fraction(x: f64) -> Self {
<Self as PerThing>::from_fraction(x)
pub fn from_float(x: f64) -> Self {
<Self as PerThing>::from_float(x)
}
/// See [`PerThing::from_rational_approximation`].
/// See [`PerThing::from_rational`].
#[deprecated = "Use `PerThing::from_rational` instead"]
pub fn from_rational_approximation<N>(p: N, q: N) -> Self
where N: Clone + Ord + TryInto<$type> +
TryInto<$upper_type> + ops::Div<N, Output=N> + ops::Rem<N, Output=N> +
ops::Add<N, Output=N> + Unsigned,
$type: Into<N>,
{
<Self as PerThing>::from_rational_approximation(p, q)
<Self as PerThing>::from_rational(p, q)
}
/// See [`PerThing::from_rational`].
pub fn from_rational<N>(p: N, q: N) -> Self
where N: Clone + Ord + TryInto<$type> +
TryInto<$upper_type> + ops::Div<N, Output=N> + ops::Rem<N, Output=N> +
ops::Add<N, Output=N> + Unsigned,
$type: Into<N>,
{
<Self as PerThing>::from_rational(p, q)
}
/// See [`PerThing::mul_floor`].
@@ -561,37 +591,13 @@ macro_rules! implement_per_thing {
/// Saturating multiply. Compute `self * rhs`, saturating at the numeric bounds instead of
/// overflowing. This operation is lossy.
fn saturating_mul(self, rhs: Self) -> Self {
let a = self.0 as $upper_type;
let b = rhs.0 as $upper_type;
let m = <$upper_type>::from($max);
let parts = a * b / m;
// This will always fit into $type.
Self::from_parts(parts as $type)
self * rhs
}
/// Saturating exponentiation. Computes `self.pow(exp)`, saturating at the numeric
/// bounds instead of overflowing. This operation is lossy.
fn saturating_pow(self, exp: usize) -> Self {
if self.is_zero() || self.is_one() {
self
} else {
let p = <$name as PerThing>::Upper::from(self.deconstruct());
let q = <$name as PerThing>::Upper::from(Self::ACCURACY);
let mut s = Self::one();
for _ in 0..exp {
if s.is_zero() {
break;
} else {
// x^2 always fits in Self::Upper if x fits in Self::Inner.
// Verified by a test.
s = Self::from_rational_approximation(
<$name as PerThing>::Upper::from(s.deconstruct()) * p,
q * q,
);
}
}
s
}
self.pow(exp)
}
}
@@ -607,7 +613,7 @@ macro_rules! implement_per_thing {
}
}
impl crate::traits::Bounded for $name {
impl Bounded for $name {
fn min_value() -> Self {
<Self as PerThing>::zero()
}
@@ -617,13 +623,48 @@ macro_rules! implement_per_thing {
}
}
impl ops::Mul for $name {
type Output = Self;
fn mul(self, rhs: Self) -> Self::Output {
let a = self.0 as $upper_type;
let b = rhs.0 as $upper_type;
let m = <$upper_type>::from($max);
let parts = a * b / m;
// This will always fit into $type.
Self::from_parts(parts as $type)
}
}
impl Pow<usize> for $name {
type Output = Self;
fn pow(self, exp: usize) -> Self::Output {
if exp == 0 || self.is_one() {
return Self::one()
}
let mut result = self;
let mut exp = exp - 1;
while exp > 0 && !result.is_zero() {
if exp % 2 == 0 {
result = result.square();
exp /= 2;
} else {
result = result * self;
exp -= 1;
}
}
result
}
}
impl ops::Div for $name {
type Output = Self;
fn div(self, rhs: Self) -> Self::Output {
let p = self.0;
let q = rhs.0;
Self::from_rational_approximation(p, q)
Self::from_rational(p, q)
}
}
@@ -648,6 +689,13 @@ macro_rules! implement_per_thing {
}
}
impl<N> ops::Div<N> for $name where $type: TryFrom<N> {
type Output = Self;
fn div(self, b: N) -> Self::Output {
<$type>::try_from(b).map_or(Self::zero(), |d| Self::from_parts(self.0 / d))
}
}
#[cfg(test)]
mod $test_mod {
use codec::{Encode, Decode};
@@ -657,13 +705,13 @@ macro_rules! implement_per_thing {
#[test]
fn macro_expanded_correctly() {
// needed for the `from_percent` to work. UPDATE: this is no longer needed; yet note
// that tests that use percentage or fractions such as $name::from_fraction(0.2) to
// that tests that use percentage or fractions such as $name::from_float(0.2) to
// create values will most likely be inaccurate when used with per_things that are
// not multiples of 100.
// assert!($max >= 100);
// assert!($max % 100 == 0);
// needed for `from_rational_approximation`
// needed for `from_rational`
assert!(2 * ($max as $upper_type) < <$upper_type>::max_value());
assert!(<$upper_type>::from($max) < <$upper_type>::max_value());
@@ -737,11 +785,11 @@ macro_rules! implement_per_thing {
assert_eq!($name::from_percent(100), $name::from_parts($max));
assert_eq!($name::from_percent(200), $name::from_parts($max));
assert_eq!($name::from_fraction(0.0), $name::from_parts(Zero::zero()));
assert_eq!($name::from_fraction(0.1), $name::from_parts($max / 10));
assert_eq!($name::from_fraction(1.0), $name::from_parts($max));
assert_eq!($name::from_fraction(2.0), $name::from_parts($max));
assert_eq!($name::from_fraction(-1.0), $name::from_parts(Zero::zero()));
assert_eq!($name::from_float(0.0), $name::from_parts(Zero::zero()));
assert_eq!($name::from_float(0.1), $name::from_parts($max / 10));
assert_eq!($name::from_float(1.0), $name::from_parts($max));
assert_eq!($name::from_float(2.0), $name::from_parts($max));
assert_eq!($name::from_float(-1.0), $name::from_parts(Zero::zero()));
}
#[test]
@@ -763,7 +811,7 @@ macro_rules! implement_per_thing {
($num_type:tt) => {
// multiplication from all sort of from_percent
assert_eq!(
$name::from_fraction(1.0) * $num_type::max_value(),
$name::from_float(1.0) * $num_type::max_value(),
$num_type::max_value()
);
if $max % 100 == 0 {
@@ -773,7 +821,7 @@ macro_rules! implement_per_thing {
1,
);
assert_eq!(
$name::from_fraction(0.5) * $num_type::max_value(),
$name::from_float(0.5) * $num_type::max_value(),
$num_type::max_value() / 2,
);
assert_eq_error_rate!(
@@ -783,30 +831,30 @@ macro_rules! implement_per_thing {
);
} else {
assert_eq!(
$name::from_fraction(0.99) * <$num_type>::max_value(),
$name::from_float(0.99) * <$num_type>::max_value(),
(
(
u256ify!($name::from_fraction(0.99).0) *
u256ify!($name::from_float(0.99).0) *
u256ify!(<$num_type>::max_value()) /
u256ify!($max)
).as_u128()
) as $num_type,
);
assert_eq!(
$name::from_fraction(0.50) * <$num_type>::max_value(),
$name::from_float(0.50) * <$num_type>::max_value(),
(
(
u256ify!($name::from_fraction(0.50).0) *
u256ify!($name::from_float(0.50).0) *
u256ify!(<$num_type>::max_value()) /
u256ify!($max)
).as_u128()
) as $num_type,
);
assert_eq!(
$name::from_fraction(0.01) * <$num_type>::max_value(),
$name::from_float(0.01) * <$num_type>::max_value(),
(
(
u256ify!($name::from_fraction(0.01).0) *
u256ify!($name::from_float(0.01).0) *
u256ify!(<$num_type>::max_value()) /
u256ify!($max)
).as_u128()
@@ -814,7 +862,7 @@ macro_rules! implement_per_thing {
);
}
assert_eq!($name::from_fraction(0.0) * $num_type::max_value(), 0);
assert_eq!($name::from_float(0.0) * $num_type::max_value(), 0);
// // multiplication with bounds
assert_eq!($name::one() * $num_type::max_value(), $num_type::max_value());
@@ -828,7 +876,7 @@ macro_rules! implement_per_thing {
// accuracy test
assert_eq!(
$name::from_rational_approximation(1 as $type, 3) * 30 as $type,
$name::from_rational(1 as $type, 3) * 30 as $type,
10,
);
@@ -837,10 +885,10 @@ macro_rules! implement_per_thing {
#[test]
fn per_thing_mul_rounds_to_nearest_number() {
assert_eq!($name::from_fraction(0.33) * 10u64, 3);
assert_eq!($name::from_fraction(0.34) * 10u64, 3);
assert_eq!($name::from_fraction(0.35) * 10u64, 3);
assert_eq!($name::from_fraction(0.36) * 10u64, 4);
assert_eq!($name::from_float(0.33) * 10u64, 3);
assert_eq!($name::from_float(0.34) * 10u64, 3);
assert_eq!($name::from_float(0.35) * 10u64, 3);
assert_eq!($name::from_float(0.36) * 10u64, 4);
}
#[test]
@@ -858,33 +906,33 @@ macro_rules! implement_per_thing {
($num_type:tt) => {
// within accuracy boundary
assert_eq!(
$name::from_rational_approximation(1 as $num_type, 0),
$name::from_rational(1 as $num_type, 0),
$name::one(),
);
assert_eq!(
$name::from_rational_approximation(1 as $num_type, 1),
$name::from_rational(1 as $num_type, 1),
$name::one(),
);
assert_eq_error_rate!(
$name::from_rational_approximation(1 as $num_type, 3).0,
$name::from_rational(1 as $num_type, 3).0,
$name::from_parts($max / 3).0,
2
);
assert_eq!(
$name::from_rational_approximation(1 as $num_type, 10),
$name::from_fraction(0.10),
$name::from_rational(1 as $num_type, 10),
$name::from_float(0.10),
);
assert_eq!(
$name::from_rational_approximation(1 as $num_type, 4),
$name::from_fraction(0.25),
$name::from_rational(1 as $num_type, 4),
$name::from_float(0.25),
);
assert_eq!(
$name::from_rational_approximation(1 as $num_type, 4),
$name::from_rational_approximation(2 as $num_type, 8),
$name::from_rational(1 as $num_type, 4),
$name::from_rational(2 as $num_type, 8),
);
// no accurate anymore but won't overflow.
assert_eq_error_rate!(
$name::from_rational_approximation(
$name::from_rational(
$num_type::max_value() - 1,
$num_type::max_value()
).0 as $upper_type,
@@ -892,7 +940,7 @@ macro_rules! implement_per_thing {
2,
);
assert_eq_error_rate!(
$name::from_rational_approximation(
$name::from_rational(
$num_type::max_value() / 3,
$num_type::max_value()
).0 as $upper_type,
@@ -900,7 +948,7 @@ macro_rules! implement_per_thing {
2,
);
assert_eq!(
$name::from_rational_approximation(1, $num_type::max_value()),
$name::from_rational(1, $num_type::max_value()),
$name::zero(),
);
};
@@ -914,28 +962,28 @@ macro_rules! implement_per_thing {
// almost at the edge
assert_eq!(
$name::from_rational_approximation(max_value - 1, max_value + 1),
$name::from_rational(max_value - 1, max_value + 1),
$name::from_parts($max - 2),
);
assert_eq!(
$name::from_rational_approximation(1, $max - 1),
$name::from_rational(1, $max - 1),
$name::from_parts(1),
);
assert_eq!(
$name::from_rational_approximation(1, $max),
$name::from_rational(1, $max),
$name::from_parts(1),
);
assert_eq!(
$name::from_rational_approximation(2, 2 * max_value - 1),
$name::from_rational(2, 2 * max_value - 1),
$name::from_parts(1),
);
assert_eq!(
$name::from_rational_approximation(1, max_value + 1),
$name::from_rational(1, max_value + 1),
$name::zero(),
);
assert_eq!(
$name::from_rational_approximation(3 * max_value / 2, 3 * max_value),
$name::from_fraction(0.5),
$name::from_rational(3 * max_value / 2, 3 * max_value),
$name::from_float(0.5),
);
$(per_thing_from_rationale_approx_test!($test_units);)*
@@ -943,66 +991,66 @@ macro_rules! implement_per_thing {
#[test]
fn per_things_mul_operates_in_output_type() {
// assert_eq!($name::from_fraction(0.5) * 100u32, 50u32);
assert_eq!($name::from_fraction(0.5) * 100u64, 50u64);
assert_eq!($name::from_fraction(0.5) * 100u128, 50u128);
// assert_eq!($name::from_float(0.5) * 100u32, 50u32);
assert_eq!($name::from_float(0.5) * 100u64, 50u64);
assert_eq!($name::from_float(0.5) * 100u128, 50u128);
}
#[test]
fn per_thing_saturating_op_works() {
assert_eq_error_rate!(
$name::from_fraction(0.5).saturating_add($name::from_fraction(0.4)).0 as $upper_type,
$name::from_fraction(0.9).0 as $upper_type,
$name::from_float(0.5).saturating_add($name::from_float(0.4)).0 as $upper_type,
$name::from_float(0.9).0 as $upper_type,
2,
);
assert_eq_error_rate!(
$name::from_fraction(0.5).saturating_add($name::from_fraction(0.5)).0 as $upper_type,
$name::from_float(0.5).saturating_add($name::from_float(0.5)).0 as $upper_type,
$name::one().0 as $upper_type,
2,
);
assert_eq!(
$name::from_fraction(0.6).saturating_add($name::from_fraction(0.5)),
$name::from_float(0.6).saturating_add($name::from_float(0.5)),
$name::one(),
);
assert_eq_error_rate!(
$name::from_fraction(0.6).saturating_sub($name::from_fraction(0.5)).0 as $upper_type,
$name::from_fraction(0.1).0 as $upper_type,
$name::from_float(0.6).saturating_sub($name::from_float(0.5)).0 as $upper_type,
$name::from_float(0.1).0 as $upper_type,
2,
);
assert_eq!(
$name::from_fraction(0.6).saturating_sub($name::from_fraction(0.6)),
$name::from_fraction(0.0),
$name::from_float(0.6).saturating_sub($name::from_float(0.6)),
$name::from_float(0.0),
);
assert_eq!(
$name::from_fraction(0.6).saturating_sub($name::from_fraction(0.7)),
$name::from_fraction(0.0),
$name::from_float(0.6).saturating_sub($name::from_float(0.7)),
$name::from_float(0.0),
);
assert_eq_error_rate!(
$name::from_fraction(0.5).saturating_mul($name::from_fraction(0.5)).0 as $upper_type,
$name::from_fraction(0.25).0 as $upper_type,
$name::from_float(0.5).saturating_mul($name::from_float(0.5)).0 as $upper_type,
$name::from_float(0.25).0 as $upper_type,
2,
);
assert_eq_error_rate!(
$name::from_fraction(0.2).saturating_mul($name::from_fraction(0.2)).0 as $upper_type,
$name::from_fraction(0.04).0 as $upper_type,
$name::from_float(0.2).saturating_mul($name::from_float(0.2)).0 as $upper_type,
$name::from_float(0.04).0 as $upper_type,
2,
);
assert_eq_error_rate!(
$name::from_fraction(0.1).saturating_mul($name::from_fraction(0.1)).0 as $upper_type,
$name::from_fraction(0.01).0 as $upper_type,
$name::from_float(0.1).saturating_mul($name::from_float(0.1)).0 as $upper_type,
$name::from_float(0.01).0 as $upper_type,
1,
);
}
#[test]
fn per_thing_square_works() {
assert_eq!($name::from_fraction(1.0).square(), $name::from_fraction(1.0));
assert_eq!($name::from_fraction(0.5).square(), $name::from_fraction(0.25));
assert_eq!($name::from_fraction(0.1).square(), $name::from_fraction(0.01));
assert_eq!($name::from_float(1.0).square(), $name::from_float(1.0));
assert_eq!($name::from_float(0.5).square(), $name::from_float(0.25));
assert_eq!($name::from_float(0.1).square(), $name::from_float(0.01));
assert_eq!(
$name::from_fraction(0.02).square(),
$name::from_float(0.02).square(),
$name::from_parts((4 * <$upper_type>::from($max) / 100 / 100) as $type)
);
}
@@ -1011,30 +1059,30 @@ macro_rules! implement_per_thing {
fn per_things_div_works() {
// normal
assert_eq_error_rate!(
($name::from_fraction(0.1) / $name::from_fraction(0.20)).0 as $upper_type,
$name::from_fraction(0.50).0 as $upper_type,
($name::from_float(0.1) / $name::from_float(0.20)).0 as $upper_type,
$name::from_float(0.50).0 as $upper_type,
2,
);
assert_eq_error_rate!(
($name::from_fraction(0.1) / $name::from_fraction(0.10)).0 as $upper_type,
$name::from_fraction(1.0).0 as $upper_type,
($name::from_float(0.1) / $name::from_float(0.10)).0 as $upper_type,
$name::from_float(1.0).0 as $upper_type,
2,
);
assert_eq_error_rate!(
($name::from_fraction(0.1) / $name::from_fraction(0.0)).0 as $upper_type,
$name::from_fraction(1.0).0 as $upper_type,
($name::from_float(0.1) / $name::from_float(0.0)).0 as $upper_type,
$name::from_float(1.0).0 as $upper_type,
2,
);
// will not overflow
assert_eq_error_rate!(
($name::from_fraction(0.10) / $name::from_fraction(0.05)).0 as $upper_type,
$name::from_fraction(1.0).0 as $upper_type,
($name::from_float(0.10) / $name::from_float(0.05)).0 as $upper_type,
$name::from_float(1.0).0 as $upper_type,
2,
);
assert_eq_error_rate!(
($name::from_fraction(1.0) / $name::from_fraction(0.5)).0 as $upper_type,
$name::from_fraction(1.0).0 as $upper_type,
($name::from_float(1.0) / $name::from_float(0.5)).0 as $upper_type,
$name::from_float(1.0).0 as $upper_type,
2,
);
}