// Translated from C to Rust. The original C code can be found at // https://github.com/ulfjack/ryu and carries the following license: // // Copyright 2018 Ulf Adams // // The contents of this file may be used under the terms of the Apache License, // Version 2.0. // // (See accompanying file LICENSE-Apache or copy at // http://www.apache.org/licenses/LICENSE-2.0) // // Alternatively, the contents of this file may be used under the terms of // the Boost Software License, Version 1.0. // (See accompanying file LICENSE-Boost or copy at // https://www.boost.org/LICENSE_1_0.txt) // // Unless required by applicable law or agreed to in writing, this software // is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY // KIND, either express or implied. use common::*; #[cfg(not(integer128))] use d2s_intrinsics::*; pub static DOUBLE_POW5_TABLE: [u64; 26] = [ 1, 5, 25, 125, 625, 3125, 15625, 78125, 390625, 1953125, 9765625, 48828125, 244140625, 1220703125, 6103515625, 30517578125, 152587890625, 762939453125, 3814697265625, 19073486328125, 95367431640625, 476837158203125, 2384185791015625, 11920928955078125, 59604644775390625, 298023223876953125, ]; pub static DOUBLE_POW5_SPLIT2: [(u64, u64); 13] = [ (0, 72057594037927936), (10376293541461622784, 93132257461547851), (15052517733678820785, 120370621524202240), (6258995034005762182, 77787690973264271), (14893927168346708332, 100538234169297439), (4272820386026678563, 129942622070561240), (7330497575943398595, 83973451344588609), (18377130505971182927, 108533142064701048), (10038208235822497557, 140275798336537794), (7017903361312433648, 90651109995611182), (6366496589810271835, 117163813585596168), (9264989777501460624, 75715339914673581), (17074144231291089770, 97859783203563123), ]; // Unfortunately, the results are sometimes off by one. We use an additional // lookup table to store those cases and adjust the result. pub static POW5_OFFSETS: [u32; 13] = [ 0x00000000, 0x00000000, 0x00000000, 0x033c55be, 0x03db77d8, 0x0265ffb2, 0x00000800, 0x01a8ff56, 0x00000000, 0x0037a200, 0x00004000, 0x03fffffc, 0x00003ffe, ]; pub static DOUBLE_POW5_INV_SPLIT2: [(u64, u64); 13] = [ (1, 288230376151711744), (7661987648932456967, 223007451985306231), (12652048002903177473, 172543658669764094), (5522544058086115566, 266998379490113760), (3181575136763469022, 206579990246952687), (4551508647133041040, 159833525776178802), (1116074521063664381, 247330401473104534), (17400360011128145022, 191362629322552438), (9297997190148906106, 148059663038321393), (11720143854957885429, 229111231347799689), (15401709288678291155, 177266229209635622), (3003071137298187333, 274306203439684434), (17516772882021341108, 212234145163966538), ]; pub static POW5_INV_OFFSETS: [u32; 20] = [ 0x51505404, 0x55054514, 0x45555545, 0x05511411, 0x00505010, 0x00000004, 0x00000000, 0x00000000, 0x55555040, 0x00505051, 0x00050040, 0x55554000, 0x51659559, 0x00001000, 0x15000010, 0x55455555, 0x41404051, 0x00001010, 0x00000014, 0x00000000, ]; // Computes 5^i in the form required by Ryu. #[cfg(integer128)] #[cfg_attr(feature = "no-panic", inline)] pub unsafe fn compute_pow5(i: u32) -> (u64, u64) { let base = i / DOUBLE_POW5_TABLE.len() as u32; let base2 = base * DOUBLE_POW5_TABLE.len() as u32; let offset = i - base2; debug_assert!(base < DOUBLE_POW5_SPLIT2.len() as u32); let mul = *DOUBLE_POW5_SPLIT2.get_unchecked(base as usize); if offset == 0 { return mul; } debug_assert!(offset < DOUBLE_POW5_TABLE.len() as u32); let m = *DOUBLE_POW5_TABLE.get_unchecked(offset as usize); let b0 = m as u128 * mul.0 as u128; let b2 = m as u128 * mul.1 as u128; let delta = pow5bits(i as i32) - pow5bits(base2 as i32); debug_assert!(base < POW5_OFFSETS.len() as u32); let shifted_sum = (b0 >> delta) + (b2 << (64 - delta)) + ((*POW5_OFFSETS.get_unchecked(base as usize) >> offset) & 1) as u128; (shifted_sum as u64, (shifted_sum >> 64) as u64) } // Computes 5^-i in the form required by Ryu. #[cfg(integer128)] #[cfg_attr(feature = "no-panic", inline)] pub unsafe fn compute_inv_pow5(i: u32) -> (u64, u64) { let base = (i + DOUBLE_POW5_TABLE.len() as u32 - 1) / DOUBLE_POW5_TABLE.len() as u32; let base2 = base * DOUBLE_POW5_TABLE.len() as u32; let offset = base2 - i; debug_assert!(base < DOUBLE_POW5_INV_SPLIT2.len() as u32); let mul = *DOUBLE_POW5_INV_SPLIT2.get_unchecked(base as usize); // 1/5^base2 if offset == 0 { return mul; } debug_assert!(offset < DOUBLE_POW5_TABLE.len() as u32); let m = *DOUBLE_POW5_TABLE.get_unchecked(offset as usize); // 5^offset let b0 = m as u128 * (mul.0 - 1) as u128; let b2 = m as u128 * mul.1 as u128; // 1/5^base2 * 5^offset = 1/5^(base2-offset) = 1/5^i let delta = pow5bits(base2 as i32) - pow5bits(i as i32); debug_assert!(base < POW5_INV_OFFSETS.len() as u32); let shifted_sum = ((b0 >> delta) + (b2 << (64 - delta))) + 1 + ((*POW5_INV_OFFSETS.get_unchecked((i / 16) as usize) >> ((i % 16) << 1)) & 3) as u128; (shifted_sum as u64, (shifted_sum >> 64) as u64) } // Computes 5^i in the form required by Ryu, and stores it in the given pointer. #[cfg(not(integer128))] #[cfg_attr(feature = "no-panic", inline)] pub unsafe fn compute_pow5(i: u32) -> (u64, u64) { let base = i / DOUBLE_POW5_TABLE.len() as u32; let base2 = base * DOUBLE_POW5_TABLE.len() as u32; let offset = i - base2; debug_assert!(base < DOUBLE_POW5_SPLIT2.len() as u32); let mul = *DOUBLE_POW5_SPLIT2.get_unchecked(base as usize); if offset == 0 { return mul; } debug_assert!(offset < DOUBLE_POW5_TABLE.len() as u32); let m = *DOUBLE_POW5_TABLE.get_unchecked(offset as usize); let (low1, mut high1) = umul128(m, mul.1); let (low0, high0) = umul128(m, mul.0); let sum = high0 + low1; if sum < high0 { high1 += 1; // overflow into high1 } // high1 | sum | low0 let delta = pow5bits(i as i32) - pow5bits(base2 as i32); debug_assert!(base < POW5_OFFSETS.len() as u32); ( shiftright128(low0, sum, delta as u32) + ((*POW5_OFFSETS.get_unchecked(base as usize) >> offset) & 1) as u64, shiftright128(sum, high1, delta as u32), ) } // Computes 5^-i in the form required by Ryu, and stores it in the given pointer. #[cfg(not(integer128))] #[cfg_attr(feature = "no-panic", inline)] pub unsafe fn compute_inv_pow5(i: u32) -> (u64, u64) { let base = (i + DOUBLE_POW5_TABLE.len() as u32 - 1) / DOUBLE_POW5_TABLE.len() as u32; let base2 = base * DOUBLE_POW5_TABLE.len() as u32; let offset = base2 - i; debug_assert!(base < DOUBLE_POW5_INV_SPLIT2.len() as u32); let mul = *DOUBLE_POW5_INV_SPLIT2.get_unchecked(base as usize); // 1/5^base2 if offset == 0 { return mul; } debug_assert!(offset < DOUBLE_POW5_TABLE.len() as u32); let m = *DOUBLE_POW5_TABLE.get_unchecked(offset as usize); let (low1, mut high1) = umul128(m, mul.1); let (low0, high0) = umul128(m, mul.0 - 1); let sum = high0 + low1; if sum < high0 { high1 += 1; // overflow into high1 } // high1 | sum | low0 let delta = pow5bits(base2 as i32) - pow5bits(i as i32); debug_assert!(base < POW5_INV_OFFSETS.len() as u32); ( shiftright128(low0, sum, delta as u32) + 1 + ((*POW5_INV_OFFSETS.get_unchecked((i / 16) as usize) >> ((i % 16) << 1)) & 3) as u64, shiftright128(sum, high1, delta as u32), ) }