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use super::super::sorts::lsd_sort::lsd_radixsort; use super::super::sorts::utils::{get_empty_histograms, Params}; use super::super::sorts::voracious_sort::voracious_sort; use super::super::Radixable; impl Radixable<f32> for f32 { type Key = f32; #[inline] fn key(&self) -> f32 { *self } #[inline] fn extract(&self, mask: u32, shift: usize) -> usize { ((self.into_key_type() & mask) >> shift) as usize } #[inline] fn into_key_type(&self) -> u32 { unsafe { let submask = 0x8000_0000; let casted = std::mem::transmute::<f32, u32>(*self); if casted & submask == submask { casted ^ 0xFFFF_FFFF } else { casted ^ submask } } } fn get_full_histograms( &self, arr: &mut [f32], p: &Params, ) -> Vec<Vec<usize>> { let mut histograms = get_empty_histograms(p, p.max_level); let default_mask = self.default_mask(p.radix); let shift = p.radix as u32; let quotient = arr.len() / 4; let remainder = arr.len() % 4; let offset = quotient * 4; if p.max_level == 1 { for q in 0..quotient { unsafe { let i = q * 4; let v0 = arr.get_unchecked(i).into_key_type(); let v1 = arr.get_unchecked(i + 1).into_key_type(); let v2 = arr.get_unchecked(i + 2).into_key_type(); let v3 = arr.get_unchecked(i + 3).into_key_type(); histograms[0][(v0 & default_mask) as usize] += 1; histograms[0][(v1 & default_mask) as usize] += 1; histograms[0][(v2 & default_mask) as usize] += 1; histograms[0][(v3 & default_mask) as usize] += 1; } } for i in 0..remainder { unsafe { let v = arr.get_unchecked(offset + i).into_key_type(); histograms[0][(v & default_mask) as usize] += 1; } } } else if p.max_level == 2 { for q in 0..quotient { unsafe { let i = q * 4; let mut v0 = arr.get_unchecked(i).into_key_type(); let mut v1 = arr.get_unchecked(i + 1).into_key_type(); let mut v2 = arr.get_unchecked(i + 2).into_key_type(); let mut v3 = arr.get_unchecked(i + 3).into_key_type(); histograms[1][(v0 & default_mask) as usize] += 1; histograms[1][(v1 & default_mask) as usize] += 1; histograms[1][(v2 & default_mask) as usize] += 1; histograms[1][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[0][(v0 & default_mask) as usize] += 1; histograms[0][(v1 & default_mask) as usize] += 1; histograms[0][(v2 & default_mask) as usize] += 1; histograms[0][(v3 & default_mask) as usize] += 1; } } for i in 0..remainder { unsafe { let mut v = arr.get_unchecked(offset + i).into_key_type(); histograms[1][(v & default_mask) as usize] += 1; v >>= shift; histograms[0][(v & default_mask) as usize] += 1; } } } else if p.max_level == 3 { for q in 0..quotient { unsafe { let i = q * 4; let mut v0 = arr.get_unchecked(i).into_key_type(); let mut v1 = arr.get_unchecked(i + 1).into_key_type(); let mut v2 = arr.get_unchecked(i + 2).into_key_type(); let mut v3 = arr.get_unchecked(i + 3).into_key_type(); histograms[2][(v0 & default_mask) as usize] += 1; histograms[2][(v1 & default_mask) as usize] += 1; histograms[2][(v2 & default_mask) as usize] += 1; histograms[2][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[1][(v0 & default_mask) as usize] += 1; histograms[1][(v1 & default_mask) as usize] += 1; histograms[1][(v2 & default_mask) as usize] += 1; histograms[1][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[0][(v0 & default_mask) as usize] += 1; histograms[0][(v1 & default_mask) as usize] += 1; histograms[0][(v2 & default_mask) as usize] += 1; histograms[0][(v3 & default_mask) as usize] += 1; } } for i in 0..remainder { unsafe { let mut v = arr.get_unchecked(offset + i).into_key_type(); histograms[2][(v & default_mask) as usize] += 1; v >>= shift; histograms[1][(v & default_mask) as usize] += 1; v >>= shift; histograms[0][(v & default_mask) as usize] += 1; } } } else if p.max_level == 4 { for q in 0..quotient { unsafe { let i = q * 4; let mut v0 = arr.get_unchecked(i).into_key_type(); let mut v1 = arr.get_unchecked(i + 1).into_key_type(); let mut v2 = arr.get_unchecked(i + 2).into_key_type(); let mut v3 = arr.get_unchecked(i + 3).into_key_type(); histograms[3][(v0 & default_mask) as usize] += 1; histograms[3][(v1 & default_mask) as usize] += 1; histograms[3][(v2 & default_mask) as usize] += 1; histograms[3][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[2][(v0 & default_mask) as usize] += 1; histograms[2][(v1 & default_mask) as usize] += 1; histograms[2][(v2 & default_mask) as usize] += 1; histograms[2][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[1][(v0 & default_mask) as usize] += 1; histograms[1][(v1 & default_mask) as usize] += 1; histograms[1][(v2 & default_mask) as usize] += 1; histograms[1][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[0][(v0 & default_mask) as usize] += 1; histograms[0][(v1 & default_mask) as usize] += 1; histograms[0][(v2 & default_mask) as usize] += 1; histograms[0][(v3 & default_mask) as usize] += 1; } } for i in 0..remainder { unsafe { let mut v = arr.get_unchecked(offset + i).into_key_type(); histograms[3][(v & default_mask) as usize] += 1; v >>= shift; histograms[2][(v & default_mask) as usize] += 1; v >>= shift; histograms[1][(v & default_mask) as usize] += 1; v >>= shift; histograms[0][(v & default_mask) as usize] += 1; } } } histograms } fn voracious_sort(&self, arr: &mut [f32]) { if arr.len() <= 300 { arr.sort_unstable_by(|a, b| a.partial_cmp(b).unwrap()); } else { lsd_radixsort(arr, 8); } } fn voracious_stable_sort(&self, arr: &mut [f32]) { self.voracious_sort(arr); } } impl Radixable<f64> for f64 { type Key = f64; #[inline] fn key(&self) -> f64 { *self } #[inline] fn extract(&self, mask: u64, shift: usize) -> usize { ((self.into_key_type() & mask) >> shift) as usize } #[inline] fn into_key_type(&self) -> u64 { unsafe { let submask = 0x8000_0000_0000_0000; let casted = std::mem::transmute::<f64, u64>(*self); if casted & submask == submask { casted ^ 0xFFFF_FFFF_FFFF_FFFF } else { casted ^ submask } } } fn get_full_histograms( &self, arr: &mut [f64], p: &Params, ) -> Vec<Vec<usize>> { let mut histograms = get_empty_histograms(p, p.max_level); let default_mask = self.default_mask(p.radix); let shift = p.radix as u64; let quotient = arr.len() / 4; let remainder = arr.len() % 4; let offset = quotient * 4; if p.max_level == 1 { for q in 0..quotient { unsafe { let i = q * 4; let v0 = arr.get_unchecked(i).into_key_type(); let v1 = arr.get_unchecked(i + 1).into_key_type(); let v2 = arr.get_unchecked(i + 2).into_key_type(); let v3 = arr.get_unchecked(i + 3).into_key_type(); histograms[0][(v0 & default_mask) as usize] += 1; histograms[0][(v1 & default_mask) as usize] += 1; histograms[0][(v2 & default_mask) as usize] += 1; histograms[0][(v3 & default_mask) as usize] += 1; } } for i in 0..remainder { unsafe { let v = arr.get_unchecked(offset + i).into_key_type(); histograms[0][(v & default_mask) as usize] += 1; } } } else if p.max_level == 2 { for q in 0..quotient { unsafe { let i = q * 4; let mut v0 = arr.get_unchecked(i).into_key_type(); let mut v1 = arr.get_unchecked(i + 1).into_key_type(); let mut v2 = arr.get_unchecked(i + 2).into_key_type(); let mut v3 = arr.get_unchecked(i + 3).into_key_type(); histograms[1][(v0 & default_mask) as usize] += 1; histograms[1][(v1 & default_mask) as usize] += 1; histograms[1][(v2 & default_mask) as usize] += 1; histograms[1][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[0][(v0 & default_mask) as usize] += 1; histograms[0][(v1 & default_mask) as usize] += 1; histograms[0][(v2 & default_mask) as usize] += 1; histograms[0][(v3 & default_mask) as usize] += 1; } } for i in 0..remainder { unsafe { let mut v = arr.get_unchecked(offset + i).into_key_type(); histograms[1][(v & default_mask) as usize] += 1; v >>= shift; histograms[0][(v & default_mask) as usize] += 1; } } } else if p.max_level == 3 { for q in 0..quotient { unsafe { let i = q * 4; let mut v0 = arr.get_unchecked(i).into_key_type(); let mut v1 = arr.get_unchecked(i + 1).into_key_type(); let mut v2 = arr.get_unchecked(i + 2).into_key_type(); let mut v3 = arr.get_unchecked(i + 3).into_key_type(); histograms[2][(v0 & default_mask) as usize] += 1; histograms[2][(v1 & default_mask) as usize] += 1; histograms[2][(v2 & default_mask) as usize] += 1; histograms[2][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[1][(v0 & default_mask) as usize] += 1; histograms[1][(v1 & default_mask) as usize] += 1; histograms[1][(v2 & default_mask) as usize] += 1; histograms[1][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[0][(v0 & default_mask) as usize] += 1; histograms[0][(v1 & default_mask) as usize] += 1; histograms[0][(v2 & default_mask) as usize] += 1; histograms[0][(v3 & default_mask) as usize] += 1; } } for i in 0..remainder { unsafe { let mut v = arr.get_unchecked(offset + i).into_key_type(); histograms[2][(v & default_mask) as usize] += 1; v >>= shift; histograms[1][(v & default_mask) as usize] += 1; v >>= shift; histograms[0][(v & default_mask) as usize] += 1; } } } else if p.max_level == 4 { for q in 0..quotient { unsafe { let i = q * 4; let mut v0 = arr.get_unchecked(i).into_key_type(); let mut v1 = arr.get_unchecked(i + 1).into_key_type(); let mut v2 = arr.get_unchecked(i + 2).into_key_type(); let mut v3 = arr.get_unchecked(i + 3).into_key_type(); v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[2][(v0 & default_mask) as usize] += 1; histograms[2][(v1 & default_mask) as usize] += 1; histograms[2][(v2 & default_mask) as usize] += 1; histograms[2][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[1][(v0 & default_mask) as usize] += 1; histograms[1][(v1 & default_mask) as usize] += 1; histograms[1][(v2 & default_mask) as usize] += 1; histograms[1][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[0][(v0 & default_mask) as usize] += 1; histograms[0][(v1 & default_mask) as usize] += 1; histograms[0][(v2 & default_mask) as usize] += 1; histograms[0][(v3 & default_mask) as usize] += 1; } } for i in 0..remainder { unsafe { let mut v = arr.get_unchecked(offset + i).into_key_type(); histograms[3][(v & default_mask) as usize] += 1; v >>= shift; histograms[2][(v & default_mask) as usize] += 1; v >>= shift; histograms[1][(v & default_mask) as usize] += 1; v >>= shift; histograms[0][(v & default_mask) as usize] += 1; } } } else if p.max_level == 5 { for q in 0..quotient { unsafe { let i = q * 4; let mut v0 = arr.get_unchecked(i).into_key_type(); let mut v1 = arr.get_unchecked(i + 1).into_key_type(); let mut v2 = arr.get_unchecked(i + 2).into_key_type(); let mut v3 = arr.get_unchecked(i + 3).into_key_type(); histograms[4][(v0 & default_mask) as usize] += 1; histograms[4][(v1 & default_mask) as usize] += 1; histograms[4][(v2 & default_mask) as usize] += 1; histograms[4][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[3][(v0 & default_mask) as usize] += 1; histograms[3][(v1 & default_mask) as usize] += 1; histograms[3][(v2 & default_mask) as usize] += 1; histograms[3][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[2][(v0 & default_mask) as usize] += 1; histograms[2][(v1 & default_mask) as usize] += 1; histograms[2][(v2 & default_mask) as usize] += 1; histograms[2][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[1][(v0 & default_mask) as usize] += 1; histograms[1][(v1 & default_mask) as usize] += 1; histograms[1][(v2 & default_mask) as usize] += 1; histograms[1][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[0][(v0 & default_mask) as usize] += 1; histograms[0][(v1 & default_mask) as usize] += 1; histograms[0][(v2 & default_mask) as usize] += 1; histograms[0][(v3 & default_mask) as usize] += 1; } } for i in 0..remainder { unsafe { let mut v = arr.get_unchecked(offset + i).into_key_type(); histograms[4][(v & default_mask) as usize] += 1; v >>= shift; histograms[3][(v & default_mask) as usize] += 1; v >>= shift; histograms[2][(v & default_mask) as usize] += 1; v >>= shift; histograms[1][(v & default_mask) as usize] += 1; v >>= shift; histograms[0][(v & default_mask) as usize] += 1; } } } else if p.max_level == 6 { for q in 0..quotient { unsafe { let i = q * 4; let mut v0 = arr.get_unchecked(i).into_key_type(); let mut v1 = arr.get_unchecked(i + 1).into_key_type(); let mut v2 = arr.get_unchecked(i + 2).into_key_type(); let mut v3 = arr.get_unchecked(i + 3).into_key_type(); histograms[5][(v0 & default_mask) as usize] += 1; histograms[5][(v1 & default_mask) as usize] += 1; histograms[5][(v2 & default_mask) as usize] += 1; histograms[5][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[4][(v0 & default_mask) as usize] += 1; histograms[4][(v1 & default_mask) as usize] += 1; histograms[4][(v2 & default_mask) as usize] += 1; histograms[4][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[3][(v0 & default_mask) as usize] += 1; histograms[3][(v1 & default_mask) as usize] += 1; histograms[3][(v2 & default_mask) as usize] += 1; histograms[3][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[2][(v0 & default_mask) as usize] += 1; histograms[2][(v1 & default_mask) as usize] += 1; histograms[2][(v2 & default_mask) as usize] += 1; histograms[2][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[1][(v0 & default_mask) as usize] += 1; histograms[1][(v1 & default_mask) as usize] += 1; histograms[1][(v2 & default_mask) as usize] += 1; histograms[1][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[0][(v0 & default_mask) as usize] += 1; histograms[0][(v1 & default_mask) as usize] += 1; histograms[0][(v2 & default_mask) as usize] += 1; histograms[0][(v3 & default_mask) as usize] += 1; } } for i in 0..remainder { unsafe { let mut v = arr.get_unchecked(offset + i).into_key_type(); histograms[5][(v & default_mask) as usize] += 1; v >>= shift; histograms[4][(v & default_mask) as usize] += 1; v >>= shift; histograms[3][(v & default_mask) as usize] += 1; v >>= shift; histograms[2][(v & default_mask) as usize] += 1; v >>= shift; histograms[1][(v & default_mask) as usize] += 1; v >>= shift; histograms[0][(v & default_mask) as usize] += 1; } } } else if p.max_level == 7 { for q in 0..quotient { unsafe { let i = q * 4; let mut v0 = arr.get_unchecked(i).into_key_type(); let mut v1 = arr.get_unchecked(i + 1).into_key_type(); let mut v2 = arr.get_unchecked(i + 2).into_key_type(); let mut v3 = arr.get_unchecked(i + 3).into_key_type(); histograms[6][(v0 & default_mask) as usize] += 1; histograms[6][(v1 & default_mask) as usize] += 1; histograms[6][(v2 & default_mask) as usize] += 1; histograms[6][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[5][(v0 & default_mask) as usize] += 1; histograms[5][(v1 & default_mask) as usize] += 1; histograms[5][(v2 & default_mask) as usize] += 1; histograms[5][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[4][(v0 & default_mask) as usize] += 1; histograms[4][(v1 & default_mask) as usize] += 1; histograms[4][(v2 & default_mask) as usize] += 1; histograms[4][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[3][(v0 & default_mask) as usize] += 1; histograms[3][(v1 & default_mask) as usize] += 1; histograms[3][(v2 & default_mask) as usize] += 1; histograms[3][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[2][(v0 & default_mask) as usize] += 1; histograms[2][(v1 & default_mask) as usize] += 1; histograms[2][(v2 & default_mask) as usize] += 1; histograms[2][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[1][(v0 & default_mask) as usize] += 1; histograms[1][(v1 & default_mask) as usize] += 1; histograms[1][(v2 & default_mask) as usize] += 1; histograms[1][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[0][(v0 & default_mask) as usize] += 1; histograms[0][(v1 & default_mask) as usize] += 1; histograms[0][(v2 & default_mask) as usize] += 1; histograms[0][(v3 & default_mask) as usize] += 1; } } for i in 0..remainder { unsafe { let mut v = arr.get_unchecked(offset + i).into_key_type(); histograms[6][(v & default_mask) as usize] += 1; v >>= shift; histograms[5][(v & default_mask) as usize] += 1; v >>= shift; histograms[4][(v & default_mask) as usize] += 1; v >>= shift; histograms[3][(v & default_mask) as usize] += 1; v >>= shift; histograms[2][(v & default_mask) as usize] += 1; v >>= shift; histograms[1][(v & default_mask) as usize] += 1; v >>= shift; histograms[0][(v & default_mask) as usize] += 1; } } } else if p.max_level == 8 { for q in 0..quotient { unsafe { let i = q * 4; let mut v0 = arr.get_unchecked(i).into_key_type(); let mut v1 = arr.get_unchecked(i + 1).into_key_type(); let mut v2 = arr.get_unchecked(i + 2).into_key_type(); let mut v3 = arr.get_unchecked(i + 3).into_key_type(); histograms[7][(v0 & default_mask) as usize] += 1; histograms[7][(v1 & default_mask) as usize] += 1; histograms[7][(v2 & default_mask) as usize] += 1; histograms[7][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[6][(v0 & default_mask) as usize] += 1; histograms[6][(v1 & default_mask) as usize] += 1; histograms[6][(v2 & default_mask) as usize] += 1; histograms[6][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[5][(v0 & default_mask) as usize] += 1; histograms[5][(v1 & default_mask) as usize] += 1; histograms[5][(v2 & default_mask) as usize] += 1; histograms[5][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[4][(v0 & default_mask) as usize] += 1; histograms[4][(v1 & default_mask) as usize] += 1; histograms[4][(v2 & default_mask) as usize] += 1; histograms[4][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[3][(v0 & default_mask) as usize] += 1; histograms[3][(v1 & default_mask) as usize] += 1; histograms[3][(v2 & default_mask) as usize] += 1; histograms[3][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[2][(v0 & default_mask) as usize] += 1; histograms[2][(v1 & default_mask) as usize] += 1; histograms[2][(v2 & default_mask) as usize] += 1; histograms[2][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[1][(v0 & default_mask) as usize] += 1; histograms[1][(v1 & default_mask) as usize] += 1; histograms[1][(v2 & default_mask) as usize] += 1; histograms[1][(v3 & default_mask) as usize] += 1; v0 >>= shift; v1 >>= shift; v2 >>= shift; v3 >>= shift; histograms[0][(v0 & default_mask) as usize] += 1; histograms[0][(v1 & default_mask) as usize] += 1; histograms[0][(v2 & default_mask) as usize] += 1; histograms[0][(v3 & default_mask) as usize] += 1; } } for i in 0..remainder { unsafe { let mut v = arr.get_unchecked(offset + i).into_key_type(); histograms[7][(v & default_mask) as usize] += 1; v >>= shift; histograms[6][(v & default_mask) as usize] += 1; v >>= shift; histograms[5][(v & default_mask) as usize] += 1; v >>= shift; histograms[4][(v & default_mask) as usize] += 1; v >>= shift; histograms[3][(v & default_mask) as usize] += 1; v >>= shift; histograms[2][(v & default_mask) as usize] += 1; v >>= shift; histograms[1][(v & default_mask) as usize] += 1; v >>= shift; histograms[0][(v & default_mask) as usize] += 1; } } } histograms } fn voracious_sort(&self, arr: &mut [f64]) { if arr.len() <= 500 { voracious_sort(arr, 8); } else { lsd_radixsort(arr, 8); } } fn voracious_stable_sort(&self, arr: &mut [f64]) { self.voracious_sort(arr); } }