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mrustc (master)
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const EPSILON: u64 = 2415919103; pub fn mul_shf(a: u64) -> u64 { let aa = a as u64; (aa << 31) + (aa << 28) - aa } pub fn mul_eps(a: u64) -> u128 { (a as u128) * (EPSILON as u128) } pub fn blah(a: u64) -> u64 { mul_shf(a) } #[inline(always)] fn split(x: u128) -> (u64, u64) { (x as u64, (x >> 64) as u64) } /// no final reduction pub fn reduce128(x: u128) -> u64 { // This is Crandall's algorithm. When we have some high-order bits (i.e. with a weight of 2^64), // we convert them to low-order bits by multiplying by EPSILON (the logic is a simple // generalization of Mersenne prime reduction). The first time we do this, the product will take // ~96 bits, so we still have some high-order bits. But when we repeat this another time, the // product will fit in 64 bits. let (lo_1, hi_1) = split(x); let (lo_2, hi_2) = split((EPSILON as u128) * (hi_1 as u128) + (lo_1 as u128)); let lo_3 = hi_2 * EPSILON; lo_2 + lo_3 }
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