use std::arch::x86_64::{ __m128d, __m256d, _mm_load_pd, _mm256_add_pd, _mm256_fmadd_pd, _mm256_fmsub_pd, _mm256_loadu_pd, _mm256_mul_pd, _mm256_permute2f128_pd, _mm256_set_m128d, _mm256_storeu_pd, _mm256_sub_pd, _mm256_unpackhi_pd, _mm256_unpacklo_pd, }; use crate::reim::{as_arr, as_arr_mut}; #[target_feature(enable = "avx2,fma")] pub(crate) fn ifft_avx2_fma(m: usize, omg: &[f64], data: &mut [f64]) { if m < 16 { use poulpy_hal::reference::fft64::reim::ifft_ref; ifft_ref(m, omg, data); return; } assert!(data.len() == 2 * m); let (re, im) = data.split_at_mut(m); if m == 16 { ifft16_avx2_fma( as_arr_mut::<16, f64>(re), as_arr_mut::<16, f64>(im), as_arr::<16, f64>(omg), ) } else if m <= 2048 { ifft_bfs_16_avx2_fma(m, re, im, omg, 0); } else { ifft_rec_16_avx2_fma(m, re, im, omg, 0); } } unsafe extern "sysv64" { unsafe fn ifft16_avx2_fma_asm(re: *mut f64, im: *mut f64, omg: *const f64); } #[target_feature(enable = "avx2,fma")] fn ifft16_avx2_fma(re: &mut [f64; 16], im: &mut [f64; 16], omg: &[f64; 16]) { unsafe { ifft16_avx2_fma_asm(re.as_mut_ptr(), im.as_mut_ptr(), omg.as_ptr()); } } #[target_feature(enable = "avx2,fma")] fn ifft_rec_16_avx2_fma(m: usize, re: &mut [f64], im: &mut [f64], omg: &[f64], mut pos: usize) -> usize { if m <= 2048 { return ifft_bfs_16_avx2_fma(m, re, im, omg, pos); }; let h: usize = m >> 1; pos = ifft_rec_16_avx2_fma(h, re, im, omg, pos); pos = ifft_rec_16_avx2_fma(h, &mut re[h..], &mut im[h..], omg, pos); inv_twiddle_ifft_avx2_fma(h, re, im, *as_arr::<2, f64>(&omg[pos..])); pos += 2; pos } #[target_feature(enable = "avx2,fma")] fn ifft_bfs_16_avx2_fma(m: usize, re: &mut [f64], im: &mut [f64], omg: &[f64], mut pos: usize) -> usize { let log_m: usize = (usize::BITS - (m - 1).leading_zeros()) as usize; for off in (0..m).step_by(16) { ifft16_avx2_fma( as_arr_mut::<16, f64>(&mut re[off..]), as_arr_mut::<16, f64>(&mut im[off..]), as_arr::<16, f64>(&omg[pos..]), ); pos += 16; } let mut h: usize = 16; let m_half: usize = m >> 1; while h < m_half { let mm: usize = h << 2; for off in (0..m).step_by(mm) { inv_bitwiddle_ifft_avx2_fma( h, &mut re[off..], &mut im[off..], as_arr::<4, f64>(&omg[pos..]), ); pos += 4; } h = mm; } if !log_m.is_multiple_of(2) { inv_twiddle_ifft_avx2_fma(h, re, im, *as_arr::<2, f64>(&omg[pos..])); pos += 2; } pos } #[target_feature(enable = "avx2,fma")] fn inv_twiddle_ifft_avx2_fma(h: usize, re: &mut [f64], im: &mut [f64], omg: [f64; 2]) { unsafe { let omx: __m128d = _mm_load_pd(omg.as_ptr()); let omra: __m256d = _mm256_set_m128d(omx, omx); let omi: __m256d = _mm256_unpackhi_pd(omra, omra); let omr: __m256d = _mm256_unpacklo_pd(omra, omra); let mut r0: *mut f64 = re.as_mut_ptr(); let mut r1: *mut f64 = re.as_mut_ptr().add(h); let mut i0: *mut f64 = im.as_mut_ptr(); let mut i1: *mut f64 = im.as_mut_ptr().add(h); for _ in (0..h).step_by(4) { let mut ur0: __m256d = _mm256_loadu_pd(r0); let mut ur1: __m256d = _mm256_loadu_pd(r1); let mut ui0: __m256d = _mm256_loadu_pd(i0); let mut ui1: __m256d = _mm256_loadu_pd(i1); let tra = _mm256_sub_pd(ur0, ur1); let tia = _mm256_sub_pd(ui0, ui1); ur0 = _mm256_add_pd(ur0, ur1); ui0 = _mm256_add_pd(ui0, ui1); ur1 = _mm256_mul_pd(omi, tia); ui1 = _mm256_mul_pd(omi, tra); ur1 = _mm256_fmsub_pd(omr, tra, ur1); ui1 = _mm256_fmadd_pd(omr, tia, ui1); _mm256_storeu_pd(r0, ur0); _mm256_storeu_pd(r1, ur1); _mm256_storeu_pd(i0, ui0); _mm256_storeu_pd(i1, ui1); r0 = r0.add(4); r1 = r1.add(4); i0 = i0.add(4); i1 = i1.add(4); } } } #[target_feature(enable = "avx2,fma")] fn inv_bitwiddle_ifft_avx2_fma(h: usize, re: &mut [f64], im: &mut [f64], omg: &[f64; 4]) { unsafe { let mut r0: *mut f64 = re.as_mut_ptr(); let mut r1: *mut f64 = re.as_mut_ptr().add(h); let mut r2: *mut f64 = re.as_mut_ptr().add(2 * h); let mut r3: *mut f64 = re.as_mut_ptr().add(3 * h); let mut i0: *mut f64 = im.as_mut_ptr(); let mut i1: *mut f64 = im.as_mut_ptr().add(h); let mut i2: *mut f64 = im.as_mut_ptr().add(2 * h); let mut i3: *mut f64 = im.as_mut_ptr().add(3 * h); let om0: __m256d = _mm256_loadu_pd(omg.as_ptr()); let omb: __m256d = _mm256_permute2f128_pd(om0, om0, 0x11); let oma: __m256d = _mm256_permute2f128_pd(om0, om0, 0x00); let omai: __m256d = _mm256_unpackhi_pd(oma, oma); let omar: __m256d = _mm256_unpacklo_pd(oma, oma); let ombi: __m256d = _mm256_unpackhi_pd(omb, omb); let ombr: __m256d = _mm256_unpacklo_pd(omb, omb); for _ in (0..h).step_by(4) { let mut ur0: __m256d = _mm256_loadu_pd(r0); let mut ur1: __m256d = _mm256_loadu_pd(r1); let mut ur2: __m256d = _mm256_loadu_pd(r2); let mut ur3: __m256d = _mm256_loadu_pd(r3); let mut ui0: __m256d = _mm256_loadu_pd(i0); let mut ui1: __m256d = _mm256_loadu_pd(i1); let mut ui2: __m256d = _mm256_loadu_pd(i2); let mut ui3: __m256d = _mm256_loadu_pd(i3); let mut tra: __m256d = _mm256_sub_pd(ur0, ur1); let mut trb: __m256d = _mm256_sub_pd(ur2, ur3); let mut tia: __m256d = _mm256_sub_pd(ui0, ui1); let mut tib: __m256d = _mm256_sub_pd(ui2, ui3); ur0 = _mm256_add_pd(ur0, ur1); ur2 = _mm256_add_pd(ur2, ur3); ui0 = _mm256_add_pd(ui0, ui1); ui2 = _mm256_add_pd(ui2, ui3); ur1 = _mm256_mul_pd(omai, tia); ur3 = _mm256_mul_pd(omar, tib); ui1 = _mm256_mul_pd(omai, tra); ui3 = _mm256_mul_pd(omar, trb); ur1 = _mm256_fmsub_pd(omar, tra, ur1); ur3 = _mm256_fmadd_pd(omai, trb, ur3); ui1 = _mm256_fmadd_pd(omar, tia, ui1); ui3 = _mm256_fmsub_pd(omai, tib, ui3); tra = _mm256_sub_pd(ur0, ur2); trb = _mm256_sub_pd(ur1, ur3); tia = _mm256_sub_pd(ui0, ui2); tib = _mm256_sub_pd(ui1, ui3); ur0 = _mm256_add_pd(ur0, ur2); ur1 = _mm256_add_pd(ur1, ur3); ui0 = _mm256_add_pd(ui0, ui2); ui1 = _mm256_add_pd(ui1, ui3); ur2 = _mm256_mul_pd(ombi, tia); ur3 = _mm256_mul_pd(ombi, tib); ui2 = _mm256_mul_pd(ombi, tra); ui3 = _mm256_mul_pd(ombi, trb); ur2 = _mm256_fmsub_pd(ombr, tra, ur2); ur3 = _mm256_fmsub_pd(ombr, trb, ur3); ui2 = _mm256_fmadd_pd(ombr, tia, ui2); ui3 = _mm256_fmadd_pd(ombr, tib, ui3); _mm256_storeu_pd(r0, ur0); _mm256_storeu_pd(r1, ur1); _mm256_storeu_pd(r2, ur2); _mm256_storeu_pd(r3, ur3); _mm256_storeu_pd(i0, ui0); _mm256_storeu_pd(i1, ui1); _mm256_storeu_pd(i2, ui2); _mm256_storeu_pd(i3, ui3); r0 = r0.add(4); r1 = r1.add(4); r2 = r2.add(4); r3 = r3.add(4); i0 = i0.add(4); i1 = i1.add(4); i2 = i2.add(4); i3 = i3.add(4); } } } #[test] fn test_ifft_avx2_fma() { use super::*; #[target_feature(enable = "avx2,fma")] fn internal(log_m: usize) { use poulpy_hal::reference::fft64::reim::ReimIFFTRef; let m: usize = 1 << log_m; let table: ReimIFFTTable = ReimIFFTTable::::new(m); let mut values_0: Vec = vec![0f64; m << 1]; let scale: f64 = 1.0f64 / m as f64; values_0 .iter_mut() .enumerate() .for_each(|(i, x)| *x = (i + 1) as f64 * scale); let mut values_1: Vec = vec![0f64; m << 1]; values_1 .iter_mut() .zip(values_0.iter()) .for_each(|(y, x)| *y = *x); ReimIFFTAvx::reim_dft_execute(&table, &mut values_0); ReimIFFTRef::reim_dft_execute(&table, &mut values_1); let max_diff: f64 = 1.0 / ((1u64 << (53 - log_m - 1)) as f64); for i in 0..m * 2 { let diff: f64 = (values_0[i] - values_1[i]).abs(); assert!( diff <= max_diff, "{} -> {}-{} = {}", i, values_0[i], values_1[i], diff ) } } if std::is_x86_feature_detected!("avx2") { for log_m in 0..16 { unsafe { internal(log_m) } } } else { eprintln!("skipping: CPU lacks avx2"); } }