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https://github.com/pezkuwichain/pezkuwi-subxt.git
synced 2026-04-30 21:17:56 +00:00
Fix folder names in primitives (#4358)
* sr-arithmetic -> arithmetic * sr-sandbox -> sandbox * primitives/sr-staking-primitives -> primitives/staking * primitives/sr-version -> primitives/version * primitives/block-builder/runtime-api -> primitives/block-builder
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// Copyright 2019 Parity Technologies (UK) Ltd.
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// This file is part of Substrate.
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// Substrate is free software: you can redistribute it and/or modify
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// it under the terms of the GNU General Public License as published by
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// the Free Software Foundation, either version 3 of the License, or
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// (at your option) any later version.
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// Substrate is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU General Public License for more details.
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// You should have received a copy of the GNU General Public License
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// along with Substrate. If not, see <http://www.gnu.org/licenses/>.
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use sp_std::{
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ops, prelude::*,
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convert::{TryFrom, TryInto},
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};
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use codec::{Encode, Decode};
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use crate::{
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Perbill,
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traits::{
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SaturatedConversion, CheckedSub, CheckedAdd, CheckedDiv, Bounded, UniqueSaturatedInto, Saturating
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}
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};
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/// An unsigned fixed point number. Can hold any value in the range [-9_223_372_036, 9_223_372_036]
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/// with fixed point accuracy of one billion.
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#[derive(Encode, Decode, Default, Copy, Clone, PartialEq, Eq, PartialOrd, Ord)]
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pub struct Fixed64(i64);
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/// The accuracy of the `Fixed64` type.
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const DIV: i64 = 1_000_000_000;
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impl Fixed64 {
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/// creates self from a natural number.
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///
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/// Note that this might be lossy.
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pub fn from_natural(int: i64) -> Self {
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Self(int.saturating_mul(DIV))
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}
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/// Return the accuracy of the type. Given that this function returns the value `X`, it means
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/// that an instance composed of `X` parts (`Fixed64::from_parts(X)`) is equal to `1`.
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pub fn accuracy() -> i64 {
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DIV
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}
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/// Consume self and return the inner value.
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///
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/// This should only be used for testing.
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#[cfg(any(feature = "std", test))]
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pub fn into_inner(self) -> i64 { self.0 }
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/// Raw constructor. Equal to `parts / 1_000_000_000`.
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pub fn from_parts(parts: i64) -> Self {
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Self(parts)
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}
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/// creates self from a rational number. Equal to `n/d`.
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///
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/// Note that this might be lossy.
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pub fn from_rational(n: i64, d: u64) -> Self {
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Self(
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(i128::from(n).saturating_mul(i128::from(DIV)) / i128::from(d).max(1))
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.try_into()
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.unwrap_or_else(|_| Bounded::max_value())
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)
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}
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/// Performs a saturated multiply and accumulate by unsigned number.
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///
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/// Returns a saturated `int + (self * int)`.
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pub fn saturated_multiply_accumulate<N>(self, int: N) -> N
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where
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N: TryFrom<u64> + From<u32> + UniqueSaturatedInto<u32> + Bounded + Clone + Saturating +
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ops::Rem<N, Output=N> + ops::Div<N, Output=N> + ops::Mul<N, Output=N> +
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ops::Add<N, Output=N>,
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{
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let div = DIV as u64;
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let positive = self.0 > 0;
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// safe to convert as absolute value.
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let parts = self.0.checked_abs().map(|v| v as u64).unwrap_or(i64::max_value() as u64 + 1);
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// will always fit.
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let natural_parts = parts / div;
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// might saturate.
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let natural_parts: N = natural_parts.saturated_into();
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// fractional parts can always fit into u32.
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let perbill_parts = (parts % div) as u32;
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let n = int.clone().saturating_mul(natural_parts);
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let p = Perbill::from_parts(perbill_parts) * int.clone();
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// everything that needs to be either added or subtracted from the original weight.
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let excess = n.saturating_add(p);
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if positive {
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int.saturating_add(excess)
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} else {
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int.saturating_sub(excess)
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}
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}
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}
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impl Saturating for Fixed64 {
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fn saturating_add(self, rhs: Self) -> Self {
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Self(self.0.saturating_add(rhs.0))
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}
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fn saturating_mul(self, rhs: Self) -> Self {
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Self(self.0.saturating_mul(rhs.0) / DIV)
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}
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fn saturating_sub(self, rhs: Self) -> Self {
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Self(self.0.saturating_sub(rhs.0))
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}
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}
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/// Note that this is a standard, _potentially-panicking_, implementation. Use `Saturating` trait
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/// for safe addition.
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impl ops::Add for Fixed64 {
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type Output = Self;
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fn add(self, rhs: Self) -> Self::Output {
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Self(self.0 + rhs.0)
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}
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}
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/// Note that this is a standard, _potentially-panicking_, implementation. Use `Saturating` trait
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/// for safe subtraction.
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impl ops::Sub for Fixed64 {
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type Output = Self;
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fn sub(self, rhs: Self) -> Self::Output {
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Self(self.0 - rhs.0)
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}
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}
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/// Note that this is a standard, _potentially-panicking_, implementation. Use `CheckedDiv` trait
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/// for safe division.
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impl ops::Div for Fixed64 {
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type Output = Self;
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fn div(self, rhs: Self) -> Self::Output {
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if rhs.0 == 0 {
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let zero = 0;
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return Fixed64::from_parts( self.0 / zero);
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}
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let (n, d) = if rhs.0 < 0 {
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(-self.0, rhs.0.abs() as u64)
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} else {
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(self.0, rhs.0 as u64)
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};
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Fixed64::from_rational(n, d)
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}
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}
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impl CheckedSub for Fixed64 {
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fn checked_sub(&self, rhs: &Self) -> Option<Self> {
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self.0.checked_sub(rhs.0).map(Self)
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}
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}
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impl CheckedAdd for Fixed64 {
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fn checked_add(&self, rhs: &Self) -> Option<Self> {
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self.0.checked_add(rhs.0).map(Self)
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}
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}
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impl CheckedDiv for Fixed64 {
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fn checked_div(&self, rhs: &Self) -> Option<Self> {
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if rhs.0 == 0 {
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None
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} else {
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Some(*self / *rhs)
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}
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}
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}
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impl sp_std::fmt::Debug for Fixed64 {
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#[cfg(feature = "std")]
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fn fmt(&self, f: &mut sp_std::fmt::Formatter) -> sp_std::fmt::Result {
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write!(f, "Fixed64({},{})", self.0 / DIV, (self.0 % DIV) / 1000)
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}
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#[cfg(not(feature = "std"))]
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fn fmt(&self, _: &mut sp_std::fmt::Formatter) -> sp_std::fmt::Result {
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Ok(())
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}
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}
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#[cfg(test)]
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mod tests {
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use super::*;
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fn max() -> Fixed64 {
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Fixed64::from_parts(i64::max_value())
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}
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#[test]
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fn fixed64_semantics() {
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assert_eq!(Fixed64::from_rational(5, 2).0, 5 * 1_000_000_000 / 2);
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assert_eq!(Fixed64::from_rational(5, 2), Fixed64::from_rational(10, 4));
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assert_eq!(Fixed64::from_rational(5, 0), Fixed64::from_rational(5, 1));
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// biggest value that can be created.
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assert_ne!(max(), Fixed64::from_natural(9_223_372_036));
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assert_eq!(max(), Fixed64::from_natural(9_223_372_037));
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}
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#[test]
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fn fixed_64_growth_decrease_curve() {
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let test_set = vec![0u32, 1, 10, 1000, 1_000_000_000];
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// negative (1/2)
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let mut fm = Fixed64::from_rational(-1, 2);
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test_set.clone().into_iter().for_each(|i| {
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assert_eq!(fm.saturated_multiply_accumulate(i) as i32, i as i32 - i as i32 / 2);
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});
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// unit (1) multiplier
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fm = Fixed64::from_parts(0);
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test_set.clone().into_iter().for_each(|i| {
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assert_eq!(fm.saturated_multiply_accumulate(i), i);
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});
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// i.5 multiplier
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fm = Fixed64::from_rational(1, 2);
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test_set.clone().into_iter().for_each(|i| {
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assert_eq!(fm.saturated_multiply_accumulate(i), i * 3 / 2);
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});
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// dual multiplier
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fm = Fixed64::from_rational(1, 1);
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test_set.clone().into_iter().for_each(|i| {
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assert_eq!(fm.saturated_multiply_accumulate(i), i * 2);
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});
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}
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macro_rules! saturating_mul_acc_test {
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($num_type:tt) => {
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assert_eq!(
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Fixed64::from_rational(100, 1).saturated_multiply_accumulate(10 as $num_type),
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1010,
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);
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assert_eq!(
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Fixed64::from_rational(100, 2).saturated_multiply_accumulate(10 as $num_type),
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510,
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);
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assert_eq!(
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Fixed64::from_rational(100, 3).saturated_multiply_accumulate(0 as $num_type),
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0,
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);
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assert_eq!(
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Fixed64::from_rational(5, 1).saturated_multiply_accumulate($num_type::max_value()),
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$num_type::max_value()
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);
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assert_eq!(
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max().saturated_multiply_accumulate($num_type::max_value()),
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$num_type::max_value()
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);
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}
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}
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#[test]
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fn fixed64_multiply_accumulate_works() {
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saturating_mul_acc_test!(u32);
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saturating_mul_acc_test!(u64);
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saturating_mul_acc_test!(u128);
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}
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#[test]
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fn div_works() {
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let a = Fixed64::from_rational(12, 10);
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let b = Fixed64::from_rational(10, 1);
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assert_eq!(a / b, Fixed64::from_rational(12, 100));
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let a = Fixed64::from_rational(12, 10);
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let b = Fixed64::from_rational(1, 100);
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assert_eq!(a / b, Fixed64::from_rational(120, 1));
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let a = Fixed64::from_rational(12, 100);
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let b = Fixed64::from_rational(10, 1);
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assert_eq!(a / b, Fixed64::from_rational(12, 1000));
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let a = Fixed64::from_rational(12, 100);
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let b = Fixed64::from_rational(1, 100);
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assert_eq!(a / b, Fixed64::from_rational(12, 1));
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let a = Fixed64::from_rational(-12, 10);
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let b = Fixed64::from_rational(10, 1);
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assert_eq!(a / b, Fixed64::from_rational(-12, 100));
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let a = Fixed64::from_rational(12, 10);
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let b = Fixed64::from_rational(-10, 1);
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assert_eq!(a / b, Fixed64::from_rational(-12, 100));
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let a = Fixed64::from_rational(-12, 10);
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let b = Fixed64::from_rational(-10, 1);
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assert_eq!(a / b, Fixed64::from_rational(12, 100));
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}
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#[test]
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#[should_panic(expected = "attempt to divide by zero")]
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fn div_zero() {
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let a = Fixed64::from_rational(12, 10);
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let b = Fixed64::from_natural(0);
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let _ = a / b;
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}
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#[test]
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fn checked_div_zero() {
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let a = Fixed64::from_rational(12, 10);
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let b = Fixed64::from_natural(0);
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assert_eq!(a.checked_div(&b), None);
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}
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#[test]
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fn checked_div_non_zero() {
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let a = Fixed64::from_rational(12, 10);
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let b = Fixed64::from_rational(1, 100);
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assert_eq!(a.checked_div(&b), Some(Fixed64::from_rational(120, 1)));
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}
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}
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