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// benchmarks only available on nightly for now //#![feature(test)] use std::collections::HashMap; /// Convenience function for hashing a hashable object using the std hashmap's default hasher pub fn base_hash<H>(obj: H) -> usize where H: std::hash::Hash, { use std::collections::hash_map::DefaultHasher; use std::hash::Hasher; let mut hasher = DefaultHasher::new(); obj.hash(&mut hasher); hasher.finish() as usize } /// An index-hash-table, or IHT. It will allow to collect tile indices up to a /// certain size, after which collisions will start to occur. The underlying storage /// is a HashMap pub struct IHT { size: usize, overfull_count: usize, dictionary: HashMap<Vec<isize>, usize>, } impl IHT { /// Create a new IHT with the given size. The `tiles` function will never /// report an index >= this size. pub fn new(size: usize) -> IHT { IHT { size, overfull_count: 0, dictionary: HashMap::with_capacity(size), } } fn get_index(&mut self, obj: Vec<isize>) -> usize { // store the count for later use let count = self.dictionary.len(); // use the entry api on hashmaps to improve performance use std::collections::hash_map::Entry; match self.dictionary.entry(obj) { // if the object already exists in the hashmap, return the index Entry::Occupied(o) => *o.get(), Entry::Vacant(v) => { // the object isn't already stored in the dictionary if count >= self.size { // if we're full, allow collisions (keeping track of this fact) self.overfull_count += 1; base_hash(v.into_key()) } else { // otherwise, just insert into the dictionary and return the result *v.insert(count) } } } } /// Convenience function to determine if the IHT is full. If it is, new tilings will result in collisions rather than new indices. pub fn full(&self) -> bool { self.dictionary.len() >= self.size } /// Convenience function to determine how full the IHT is. The maximum value will be the IHT size pub fn count(&self) -> usize { self.dictionary.len() } /// Convenience function get the size of the IHT, in case you forgot what it was pub fn size(&self) -> usize { self.size } /// This function takes a series of floating point and integer values, and encodes them as tile indices using the underlying IHT to deal with collisions. /// /// # Arguments /// /// * `num_tilings`—indicates the number of tile indices to be generated (i.e. the length of the returned `Vec`). This value hould be a power of two greater or equal to four times the number of floats according to the original implementation. /// * `floats`—a list of floating-point numbers to be tiled /// * `ints`—an optional list of integers that will also be tiled; all distinct integers will result in different tilings. In reinforcement learning, discrete actions are often provided here. /// /// # Return Value /// /// The returned `Vec<usize>` is a vector containing exactly `num_tilings` elements, with each member being an index of a tile encoded by the function. Each member will always be >= 0 and <= size - 1. /// /// # Examples /// /// ``` /// # use tilecoding::IHT; /// // initialize an index-hash-table with size `1024` /// let mut iht = IHT::new(1024); /// /// // find the indices of tiles for the point (x, y) = (3.6, 7.21) using 8 tilings: /// let indices = iht.tiles(8, &[3.6, 7.21], None); /// /// // this is the first time we've used the IHT, so we will get the starting tiles: /// assert_eq!(indices, vec![0, 1, 2, 3, 4, 5, 6, 7]); /// /// // a nearby point: /// let indices = iht.tiles(8, &[3.7, 7.21], None); /// /// // differs by one tile: /// assert_eq!(indices, vec![0, 1, 2, 8, 4, 5, 6, 7]); /// /// // and a point more than one away in any dim /// let indices = iht.tiles(8, &[-37.2, 7.0], None); /// /// // will have all different tiles /// assert_eq!(indices, vec![9, 10, 11, 12, 13, 14, 15, 16]); /// ``` pub fn tiles(&mut self, num_tilings: usize, floats: &[f64], ints: Option<&[isize]>) -> Vec<usize> { let q_floats = floats .iter() .map(|&x| (x * num_tilings as f64).floor() as isize) .collect::<Vec<isize>>(); let mut tiles: Vec<usize> = Vec::with_capacity(num_tilings + ints.unwrap_or(&[]).len()); for tiling in 0..num_tilings { let tiling_x2 = tiling as isize * 2; let mut coords = Vec::with_capacity(1 + q_floats.len()); coords.push(tiling as isize); let mut b = tiling as isize; for q in q_floats.iter() { coords.push((q + b) / num_tilings as isize); b += tiling_x2; } if let Some(ints) = ints { coords.extend(ints); } tiles.push(self.get_index(coords)); } tiles } } /// This function takes a series of floating point and integer values, and encodes them as tile indices using a provided size. This function is generally reserved for when you have extraordinarily large sizes that are too large for the IHT. /// /// # Arguments /// /// * `size`—the upper bounds of all returned indices /// * `num_tilings`—indicates the number of tile indices to be generated (i.e. the length of the returned `Vec`). This value hould be a power of two greater or equal to four times the number of floats according to the original implementation. /// * `floats`—a list of floating-point numbers to be tiled /// * `ints`—an optional list of integers that will also be tiled; all distinct integers will result in different tilings. In reinforcement learning, discrete actions are often provided here. /// /// # Return Value /// /// The returned `Vec<usize>` is a vector containing exactly `num_tilings` elements, with each member being an index of a tile encoded by the function. Each member will always be >= 0 and <= size - 1. /// /// # Examples /// /// ``` /// # use tilecoding::tiles; /// // find the indices of tiles for the point (x, y) = (3.6, 7.21) using 8 tilings and a maximum size of 1024: /// let indices = tiles(1024, 8, &[3.6, 7.21], None); /// /// // we get tiles all over the 1024 space as a direct result of the hashing /// // instead of the more ordered indices provided by an IHT /// assert_eq!(indices, vec![511, 978, 632, 867, 634, 563, 779, 737]); /// /// // a nearby point: /// let indices = tiles(1024, 8, &[3.7, 7.21], None); /// /// // differs by one tile: /// assert_eq!(indices, vec![511, 978, 632, 987, 634, 563, 779, 737]); /// /// // and a point more than one away in any dim /// let indices = tiles(1024, 8, &[-37.2, 7.0], None); /// /// // will have all different tiles /// assert_eq!(indices, vec![638, 453, 557, 465, 306, 526, 281, 863]); /// ``` pub fn tiles(size: usize, num_tilings: usize, floats: &[f64], ints: Option<&[isize]>) -> Vec<usize> { let q_floats = floats .iter() .map(|&x| (x * num_tilings as f64).floor() as isize) .collect::<Vec<isize>>(); let mut tiles: Vec<usize> = Vec::with_capacity(num_tilings + ints.unwrap_or(&[]).len()); for tiling in 0..num_tilings { let tiling_x2 = tiling as isize * 2; let mut coords = Vec::with_capacity(1 + q_floats.len()); coords.push(tiling as isize); let mut b = tiling as isize; for q in q_floats.iter() { coords.push((q + b) / num_tilings as isize); b += tiling_x2; } if let Some(ints) = ints { coords.extend(ints); } tiles.push(base_hash(coords) % size); } tiles } #[cfg(test)] mod tests { //extern crate test; use super::*; //use test::Bencher; #[test] fn proper_number_of_tiles() { let mut iht = IHT::new(32); let indices = iht.tiles(8, &[0.0], None); assert_eq!(indices.len(), 8); } #[test] fn same_tiles_for_same_coords() { let mut iht = IHT::new(32); let indices_1 = iht.tiles(8, &[0.0], None); let indices_2 = iht.tiles(8, &[0.0], None); let indices_3 = iht.tiles(8, &[0.5], None); let indices_4 = iht.tiles(8, &[0.5], None); let indices_5 = iht.tiles(8, &[1.0], None); let indices_6 = iht.tiles(8, &[1.0], None); assert_eq!(indices_1, indices_2); assert_eq!(indices_3, indices_4); assert_eq!(indices_5, indices_6); } #[test] fn different_tiles_for_different_coords() { let mut iht = IHT::new(32); let indices_1 = iht.tiles(8, &[0.0], None); let indices_2 = iht.tiles(8, &[0.5], None); let indices_3 = iht.tiles(8, &[1.0], None); assert_ne!(indices_1, indices_2); assert_ne!(indices_2, indices_3); assert_ne!(indices_1, indices_3); } #[test] fn can_be_negative() { let mut iht = IHT::new(32); let indices = iht.tiles(8, &[-10.0], None); assert_eq!(indices.len(), 8); } #[test] fn appropriate_distance() { let mut iht = IHT::new(32); let indices_1 = iht.tiles(4, &[0.0], None); let indices_2 = iht.tiles(4, &[0.125], None); let indices_3 = iht.tiles(4, &[0.25], None); assert_eq!(indices_1, indices_2); assert_ne!(indices_1, indices_3); } /*#[bench] fn bench_iht_tile_code_small_single_dimension(b: &mut Bencher) { let mut iht = IHT::new(32); b.iter(|| iht.tiles(8, &[0.0], None)); } #[bench] fn bench_iht_tile_code_single_dimension(b: &mut Bencher) { let mut iht = IHT::new(2048); b.iter(|| iht.tiles(8, &[0.0], None)); } #[bench] fn bench_iht_tile_code_small_four_dimensions(b: &mut Bencher) { let mut iht = IHT::new(32); b.iter(|| iht.tiles(8, &[0.0, 1.0, 2.0, 3.0], None)); } #[bench] fn bench_iht_tile_code_four_dimensions(b: &mut Bencher) { let mut iht = IHT::new(2048); b.iter(|| iht.tiles(8, &[0.0, 1.0, 2.0, 3.0], None)); } #[bench] fn bench_non_iht_tile_code_small_single_dimension(b: &mut Bencher) { b.iter(|| tiles(32, 8, &[0.0], None)); } #[bench] fn bench_non_iht_tile_code_single_dimension(b: &mut Bencher) { b.iter(|| tiles(2048, 8, &[0.0], None)); } #[bench] fn bench_non_iht_tile_code_small_four_dimensions(b: &mut Bencher) { b.iter(|| tiles(32, 8, &[0.0, 1.0, 2.0, 3.0], None)); } #[bench] fn bench_non_iht_tile_code_four_dimensions(b: &mut Bencher) { b.iter(|| tiles(2048, 8, &[0.0, 1.0, 2.0, 3.0], None)); }*/ }