415 lines
13 KiB
Rust
415 lines
13 KiB
Rust
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//! Benchmark sqrt and cbrt
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#![feature(test)]
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extern crate num_integer;
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extern crate num_traits;
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extern crate test;
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use num_integer::Integer;
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use num_traits::{AsPrimitive, PrimInt, WrappingAdd, WrappingMul};
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use std::cmp::{max, min};
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use std::fmt::Debug;
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use test::{black_box, Bencher};
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// --- Utilities for RNG ----------------------------------------------------
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trait BenchInteger: Integer + PrimInt + WrappingAdd + WrappingMul + 'static {}
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impl<T> BenchInteger for T where T: Integer + PrimInt + WrappingAdd + WrappingMul + 'static {}
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// Simple PRNG so we don't have to worry about rand compatibility
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fn lcg<T>(x: T) -> T
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where
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u32: AsPrimitive<T>,
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T: BenchInteger,
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{
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// LCG parameters from Numerical Recipes
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// (but we're applying it to arbitrary sizes)
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const LCG_A: u32 = 1664525;
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const LCG_C: u32 = 1013904223;
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x.wrapping_mul(&LCG_A.as_()).wrapping_add(&LCG_C.as_())
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}
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// --- Alt. Implementations -------------------------------------------------
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trait NaiveAverage {
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fn naive_average_ceil(&self, other: &Self) -> Self;
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fn naive_average_floor(&self, other: &Self) -> Self;
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}
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trait UncheckedAverage {
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fn unchecked_average_ceil(&self, other: &Self) -> Self;
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fn unchecked_average_floor(&self, other: &Self) -> Self;
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}
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trait ModuloAverage {
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fn modulo_average_ceil(&self, other: &Self) -> Self;
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fn modulo_average_floor(&self, other: &Self) -> Self;
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}
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macro_rules! naive_average {
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($T:ident) => {
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impl super::NaiveAverage for $T {
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fn naive_average_floor(&self, other: &$T) -> $T {
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match self.checked_add(*other) {
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Some(z) => Integer::div_floor(&z, &2),
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None => {
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if self > other {
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let diff = self - other;
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other + Integer::div_floor(&diff, &2)
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} else {
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let diff = other - self;
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self + Integer::div_floor(&diff, &2)
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}
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}
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}
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}
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fn naive_average_ceil(&self, other: &$T) -> $T {
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match self.checked_add(*other) {
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Some(z) => Integer::div_ceil(&z, &2),
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None => {
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if self > other {
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let diff = self - other;
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self - Integer::div_floor(&diff, &2)
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} else {
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let diff = other - self;
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other - Integer::div_floor(&diff, &2)
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}
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}
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}
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}
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}
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};
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}
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macro_rules! unchecked_average {
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($T:ident) => {
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impl super::UncheckedAverage for $T {
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fn unchecked_average_floor(&self, other: &$T) -> $T {
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self.wrapping_add(*other) / 2
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}
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fn unchecked_average_ceil(&self, other: &$T) -> $T {
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(self.wrapping_add(*other) / 2).wrapping_add(1)
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}
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}
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};
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}
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macro_rules! modulo_average {
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($T:ident) => {
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impl super::ModuloAverage for $T {
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fn modulo_average_ceil(&self, other: &$T) -> $T {
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let (q1, r1) = self.div_mod_floor(&2);
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let (q2, r2) = other.div_mod_floor(&2);
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q1 + q2 + (r1 | r2)
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}
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fn modulo_average_floor(&self, other: &$T) -> $T {
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let (q1, r1) = self.div_mod_floor(&2);
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let (q2, r2) = other.div_mod_floor(&2);
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q1 + q2 + (r1 * r2)
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}
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}
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};
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}
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// --- Bench functions ------------------------------------------------------
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fn bench_unchecked<T, F>(b: &mut Bencher, v: &[(T, T)], f: F)
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where
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T: Integer + Debug + Copy,
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F: Fn(&T, &T) -> T,
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{
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b.iter(|| {
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for (x, y) in v {
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black_box(f(x, y));
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}
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});
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}
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fn bench_ceil<T, F>(b: &mut Bencher, v: &[(T, T)], f: F)
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where
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T: Integer + Debug + Copy,
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F: Fn(&T, &T) -> T,
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{
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for &(i, j) in v {
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let rt = f(&i, &j);
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let (a, b) = (min(i, j), max(i, j));
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// if both number are the same sign, check rt is in the middle
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if (a < T::zero()) == (b < T::zero()) {
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if (b - a).is_even() {
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assert_eq!(rt - a, b - rt);
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} else {
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assert_eq!(rt - a, b - rt + T::one());
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}
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// if both number have a different sign,
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} else {
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if (a + b).is_even() {
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assert_eq!(rt, (a + b) / (T::one() + T::one()))
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} else {
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assert_eq!(rt, (a + b + T::one()) / (T::one() + T::one()))
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}
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}
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}
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bench_unchecked(b, v, f);
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}
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fn bench_floor<T, F>(b: &mut Bencher, v: &[(T, T)], f: F)
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where
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T: Integer + Debug + Copy,
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F: Fn(&T, &T) -> T,
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{
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for &(i, j) in v {
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let rt = f(&i, &j);
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let (a, b) = (min(i, j), max(i, j));
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// if both number are the same sign, check rt is in the middle
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if (a < T::zero()) == (b < T::zero()) {
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if (b - a).is_even() {
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assert_eq!(rt - a, b - rt);
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} else {
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assert_eq!(rt - a + T::one(), b - rt);
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}
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// if both number have a different sign,
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} else {
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if (a + b).is_even() {
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assert_eq!(rt, (a + b) / (T::one() + T::one()))
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} else {
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assert_eq!(rt, (a + b - T::one()) / (T::one() + T::one()))
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}
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}
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}
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bench_unchecked(b, v, f);
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}
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// --- Bench implementation -------------------------------------------------
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macro_rules! bench_average {
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($($T:ident),*) => {$(
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mod $T {
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use test::Bencher;
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use num_integer::{Average, Integer};
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use super::{UncheckedAverage, NaiveAverage, ModuloAverage};
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use super::{bench_ceil, bench_floor, bench_unchecked};
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naive_average!($T);
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unchecked_average!($T);
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modulo_average!($T);
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const SIZE: $T = 30;
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fn overflowing() -> Vec<($T, $T)> {
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(($T::max_value()-SIZE)..$T::max_value())
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.flat_map(|x| -> Vec<_> {
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(($T::max_value()-100)..($T::max_value()-100+SIZE))
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.map(|y| (x, y))
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.collect()
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})
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.collect()
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}
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fn small() -> Vec<($T, $T)> {
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(0..SIZE)
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.flat_map(|x| -> Vec<_> {(0..SIZE).map(|y| (x, y)).collect()})
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.collect()
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}
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fn rand() -> Vec<($T, $T)> {
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small()
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.into_iter()
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.map(|(x, y)| (super::lcg(x), super::lcg(y)))
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.collect()
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}
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mod ceil {
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use super::*;
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mod small {
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use super::*;
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#[bench]
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fn optimized(b: &mut Bencher) {
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let v = small();
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bench_ceil(b, &v, |x: &$T, y: &$T| x.average_ceil(y));
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}
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#[bench]
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fn naive(b: &mut Bencher) {
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let v = small();
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bench_ceil(b, &v, |x: &$T, y: &$T| x.naive_average_ceil(y));
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}
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#[bench]
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fn unchecked(b: &mut Bencher) {
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let v = small();
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bench_unchecked(b, &v, |x: &$T, y: &$T| x.unchecked_average_ceil(y));
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}
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#[bench]
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fn modulo(b: &mut Bencher) {
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let v = small();
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bench_ceil(b, &v, |x: &$T, y: &$T| x.modulo_average_ceil(y));
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}
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}
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mod overflowing {
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use super::*;
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#[bench]
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fn optimized(b: &mut Bencher) {
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let v = overflowing();
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bench_ceil(b, &v, |x: &$T, y: &$T| x.average_ceil(y));
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}
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#[bench]
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fn naive(b: &mut Bencher) {
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let v = overflowing();
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bench_ceil(b, &v, |x: &$T, y: &$T| x.naive_average_ceil(y));
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}
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#[bench]
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fn unchecked(b: &mut Bencher) {
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let v = overflowing();
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bench_unchecked(b, &v, |x: &$T, y: &$T| x.unchecked_average_ceil(y));
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}
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#[bench]
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fn modulo(b: &mut Bencher) {
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let v = overflowing();
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bench_ceil(b, &v, |x: &$T, y: &$T| x.modulo_average_ceil(y));
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}
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}
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mod rand {
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use super::*;
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#[bench]
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fn optimized(b: &mut Bencher) {
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let v = rand();
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bench_ceil(b, &v, |x: &$T, y: &$T| x.average_ceil(y));
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}
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#[bench]
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fn naive(b: &mut Bencher) {
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let v = rand();
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bench_ceil(b, &v, |x: &$T, y: &$T| x.naive_average_ceil(y));
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}
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#[bench]
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fn unchecked(b: &mut Bencher) {
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let v = rand();
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bench_unchecked(b, &v, |x: &$T, y: &$T| x.unchecked_average_ceil(y));
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}
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#[bench]
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fn modulo(b: &mut Bencher) {
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let v = rand();
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bench_ceil(b, &v, |x: &$T, y: &$T| x.modulo_average_ceil(y));
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}
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}
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}
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mod floor {
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use super::*;
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mod small {
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use super::*;
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#[bench]
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fn optimized(b: &mut Bencher) {
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let v = small();
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bench_floor(b, &v, |x: &$T, y: &$T| x.average_floor(y));
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}
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#[bench]
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fn naive(b: &mut Bencher) {
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let v = small();
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bench_floor(b, &v, |x: &$T, y: &$T| x.naive_average_floor(y));
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}
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#[bench]
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fn unchecked(b: &mut Bencher) {
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let v = small();
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bench_unchecked(b, &v, |x: &$T, y: &$T| x.unchecked_average_floor(y));
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}
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#[bench]
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fn modulo(b: &mut Bencher) {
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let v = small();
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bench_floor(b, &v, |x: &$T, y: &$T| x.modulo_average_floor(y));
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}
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}
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mod overflowing {
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use super::*;
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#[bench]
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fn optimized(b: &mut Bencher) {
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let v = overflowing();
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bench_floor(b, &v, |x: &$T, y: &$T| x.average_floor(y));
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}
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#[bench]
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fn naive(b: &mut Bencher) {
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let v = overflowing();
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bench_floor(b, &v, |x: &$T, y: &$T| x.naive_average_floor(y));
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}
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#[bench]
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fn unchecked(b: &mut Bencher) {
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let v = overflowing();
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bench_unchecked(b, &v, |x: &$T, y: &$T| x.unchecked_average_floor(y));
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}
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#[bench]
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fn modulo(b: &mut Bencher) {
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let v = overflowing();
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bench_floor(b, &v, |x: &$T, y: &$T| x.modulo_average_floor(y));
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}
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}
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mod rand {
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use super::*;
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#[bench]
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fn optimized(b: &mut Bencher) {
|
||
|
|
let v = rand();
|
||
|
|
bench_floor(b, &v, |x: &$T, y: &$T| x.average_floor(y));
|
||
|
|
}
|
||
|
|
|
||
|
|
#[bench]
|
||
|
|
fn naive(b: &mut Bencher) {
|
||
|
|
let v = rand();
|
||
|
|
bench_floor(b, &v, |x: &$T, y: &$T| x.naive_average_floor(y));
|
||
|
|
}
|
||
|
|
|
||
|
|
#[bench]
|
||
|
|
fn unchecked(b: &mut Bencher) {
|
||
|
|
let v = rand();
|
||
|
|
bench_unchecked(b, &v, |x: &$T, y: &$T| x.unchecked_average_floor(y));
|
||
|
|
}
|
||
|
|
|
||
|
|
#[bench]
|
||
|
|
fn modulo(b: &mut Bencher) {
|
||
|
|
let v = rand();
|
||
|
|
bench_floor(b, &v, |x: &$T, y: &$T| x.modulo_average_floor(y));
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
}
|
||
|
|
)*}
|
||
|
|
}
|
||
|
|
|
||
|
|
bench_average!(i8, i16, i32, i64, i128, isize);
|
||
|
|
bench_average!(u8, u16, u32, u64, u128, usize);
|