//! A remainder next to a division of the same operands is computed from the quotient //! (passes::div_rem_pairs), in either order, for unsigned and signed narrow types; results must //! equal Rust's. #![cfg(any(all(target_arch = "x86_64", unix), all(target_arch = "aarch64", unix)))] use relax_backend::{exec::Code, rir::*}; #[cfg(target_arch = "x86_64")] fn compile(f: &Func) -> Vec { let env = relax_backend::x64::Env { slots: SlotsPtr::NONE, tls_key: 0, tls_slow: 0, resume: 0, opt_regs: true, syms: 0, sym_class: 0, near: false }; let c = relax_backend::x64::compile(&relax_session::Options::default(), f, &env).unwrap(); c.code[..c.text_len as usize].to_vec() } #[cfg(target_arch = "aarch64")] fn compile(f: &Func) -> Vec { let env = relax_backend::arm64::Env { slots: SlotsPtr::NONE, tls_key: 0, tls_slow: 0, resume: 0, opt_regs: true, syms: 0, sym_class: 0, near: false }; let c = relax_backend::arm64::compile(&relax_session::Options::default(), f, &env).unwrap(); c.code[..c.text_len as usize].to_vec() } fn push(f: &mut Func, b: u32, i: Inst) { f.blocks[b as usize].insts.push(i); f.blocks[b as usize].pos.push(0); } /// f(a, b) = (a / b) * 1000 + a % b in `it`, the remainder first when `rem_first`; every value /// extended to 64 bits by its type fn build(it: IntTy, rem_first: bool) -> Func { let w = IntTy { bits: 64, signed: false }; let mut f = Func::new("div_rem_pairs".into(), 0); let (a, b) = (f.vreg(Cls::I), f.vreg(Cls::I)); f.params = vec![a, b]; f.rets = vec![Cls::I]; let blk = f.block(); let v: Vec = (0..6).map(|_| f.vreg(Cls::I)).collect(); push(&mut f, blk, Inst::Conv(Conv::IntToInt(it), v[0], a)); push(&mut f, blk, Inst::Conv(Conv::IntToInt(it), v[1], b)); let (div, rem) = (Inst::IBin(IOp::Div, it, v[2], v[0], v[1]), Inst::IBin(IOp::Rem, it, v[3], v[0], v[1])); if rem_first { push(&mut f, blk, rem); push(&mut f, blk, Inst::IBinI(IOp::Mul, w, v[4], v[3], 7)); push(&mut f, blk, div); } else { push(&mut f, blk, div); push(&mut f, blk, Inst::IBinI(IOp::Mul, w, v[4], v[2], 7)); push(&mut f, blk, rem); } push(&mut f, blk, Inst::IBinI(IOp::Mul, w, v[5], v[2], 1000)); push(&mut f, blk, Inst::IBin(IOp::Add, w, v[5], v[5], v[3])); push(&mut f, blk, Inst::IBin(IOp::Add, w, v[5], v[5], v[4])); f.blocks[blk as usize].term = Term::Ret(vec![v[5]]); f.verify().unwrap(); f } fn divs(f: &Func) -> usize { f.blocks.iter().flat_map(|b| b.insts.iter()).filter(|i| matches!(i, Inst::IBin(IOp::Div | IOp::Rem, ..))).count() } #[test] fn remainder_from_quotient() { let tys = [IntTy { bits: 64, signed: false }, IntTy { bits: 32, signed: false }, IntTy { bits: 32, signed: true }, IntTy { bits: 16, signed: true }]; for it in tys { for rem_first in [false, true] { let mut f = build(it, rem_first); assert!(relax_backend::passes::div_rem_pairs(&mut f)); f.verify().unwrap(); assert_eq!(divs(&f), 1, "{}", f.dump()); let code = Code::new(&compile(&f)).unwrap(); let run: extern "C" fn(u64, u64) -> u64 = unsafe { std::mem::transmute(code.ptr()) }; let mut s = 0x9e3779b97f4a7c15u64; for _ in 0..2000 { s ^= s << 13; s ^= s >> 7; s ^= s << 17; let (x, mut y) = (s, s.rotate_left(23) >> (s % 60)); // narrow the operands to the type (and avoid zero / MIN / -1) let ext = |v: u64| -> i128 { let sh = 64 - it.bits as u32; if it.signed { (((v << sh) as i64) >> sh) as i128 } else { ((v << sh) >> sh) as i128 } }; if ext(y) == 0 || ext(y) == -1 { y = 3; } let (xa, yb) = (ext(x), ext(y)); let (q, r) = (xa / yb, xa % yb); let k = if rem_first { r } else { q }; let want = (q as u64).wrapping_mul(1000).wrapping_add(r as u64).wrapping_add((k as u64).wrapping_mul(7)); assert_eq!(run(x, y), want, "{:?} rem_first {} x {:#x} y {:#x}", it, rem_first, x, y); } } } }