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use core::{mem, ptr};
use common::*;
#[cfg(not(feature = "small"))]
use d2s_full_table::*;
#[cfg(feature = "small")]
use d2s_small_table::*;
use digit_table::*;
use d2s_intrinsics::*;
#[cfg(feature = "no-panic")]
use no_panic::no_panic;
pub const DOUBLE_MANTISSA_BITS: u32 = 52;
pub const DOUBLE_EXPONENT_BITS: u32 = 11;
const DOUBLE_POW5_INV_BITCOUNT: i32 = 122;
const DOUBLE_POW5_BITCOUNT: i32 = 121;
#[cfg_attr(feature = "no-panic", inline)]
fn pow5_factor(mut value: u64) -> u32 {
let mut count = 0u32;
loop {
debug_assert!(value != 0);
let q = div5(value);
let r = (value - 5 * q) as u32;
if r != 0 {
break;
}
value = q;
count += 1;
}
count
}
#[cfg_attr(feature = "no-panic", inline)]
fn multiple_of_power_of_5(value: u64, p: u32) -> bool {
pow5_factor(value) >= p
}
#[cfg_attr(feature = "no-panic", inline)]
fn multiple_of_power_of_2(value: u64, p: u32) -> bool {
(value & ((1u64 << p) - 1)) == 0
}
#[cfg(integer128)]
#[cfg_attr(feature = "no-panic", inline)]
fn mul_shift(m: u64, mul: &(u64, u64), j: u32) -> u64 {
let b0 = m as u128 * mul.0 as u128;
let b2 = m as u128 * mul.1 as u128;
(((b0 >> 64) + b2) >> (j - 64)) as u64
}
#[cfg(integer128)]
#[cfg_attr(feature = "no-panic", inline)]
fn mul_shift_all(
m: u64,
mul: &(u64, u64),
j: u32,
vp: &mut u64,
vm: &mut u64,
mm_shift: u32,
) -> u64 {
*vp = mul_shift(4 * m + 2, mul, j);
*vm = mul_shift(4 * m - 1 - mm_shift as u64, mul, j);
mul_shift(4 * m, mul, j)
}
#[cfg(not(integer128))]
#[cfg_attr(feature = "no-panic", inline)]
fn mul_shift_all(
mut m: u64,
mul: &(u64, u64),
j: u32,
vp: &mut u64,
vm: &mut u64,
mm_shift: u32,
) -> u64 {
m <<= 1;
let (lo, tmp) = umul128(m, mul.0);
let (mut mid, mut hi) = umul128(m, mul.1);
mid = mid.wrapping_add(tmp);
hi = hi.wrapping_add((mid < tmp) as u64);
let lo2 = lo.wrapping_add(mul.0);
let mid2 = mid.wrapping_add(mul.1).wrapping_add((lo2 < lo) as u64);
let hi2 = hi.wrapping_add((mid2 < mid) as u64);
*vp = shiftright128(mid2, hi2, j - 64 - 1);
if mm_shift == 1 {
let lo3 = lo.wrapping_sub(mul.0);
let mid3 = mid.wrapping_sub(mul.1).wrapping_sub((lo3 > lo) as u64);
let hi3 = hi.wrapping_sub((mid3 > mid) as u64);
*vm = shiftright128(mid3, hi3, j - 64 - 1);
} else {
let lo3 = lo + lo;
let mid3 = mid.wrapping_add(mid).wrapping_add((lo3 < lo) as u64);
let hi3 = hi.wrapping_add(hi).wrapping_add((mid3 < mid) as u64);
let lo4 = lo3.wrapping_sub(mul.0);
let mid4 = mid3.wrapping_sub(mul.1).wrapping_sub((lo4 > lo3) as u64);
let hi4 = hi3.wrapping_sub((mid4 > mid3) as u64);
*vm = shiftright128(mid4, hi4, j - 64);
}
shiftright128(mid, hi, j - 64 - 1)
}
#[cfg_attr(feature = "no-panic", inline)]
pub fn decimal_length(v: u64) -> u32 {
debug_assert!(v < 100000000000000000);
if v >= 10000000000000000 {
17
} else if v >= 1000000000000000 {
16
} else if v >= 100000000000000 {
15
} else if v >= 10000000000000 {
14
} else if v >= 1000000000000 {
13
} else if v >= 100000000000 {
12
} else if v >= 10000000000 {
11
} else if v >= 1000000000 {
10
} else if v >= 100000000 {
9
} else if v >= 10000000 {
8
} else if v >= 1000000 {
7
} else if v >= 100000 {
6
} else if v >= 10000 {
5
} else if v >= 1000 {
4
} else if v >= 100 {
3
} else if v >= 10 {
2
} else {
1
}
}
pub struct FloatingDecimal64 {
pub mantissa: u64,
pub exponent: i32,
}
#[cfg_attr(feature = "no-panic", inline)]
pub fn d2d(ieee_mantissa: u64, ieee_exponent: u32) -> FloatingDecimal64 {
let bias = (1u32 << (DOUBLE_EXPONENT_BITS - 1)) - 1;
let (e2, m2) = if ieee_exponent == 0 {
(
1 - bias as i32 - DOUBLE_MANTISSA_BITS as i32 - 2,
ieee_mantissa,
)
} else {
(
ieee_exponent as i32 - bias as i32 - DOUBLE_MANTISSA_BITS as i32 - 2,
(1u64 << DOUBLE_MANTISSA_BITS) | ieee_mantissa,
)
};
let even = (m2 & 1) == 0;
let accept_bounds = even;
let mv = 4 * m2;
let mm_shift = (ieee_mantissa != 0 || ieee_exponent <= 1) as u32;
let mut vr: u64;
let mut vp: u64 = unsafe { mem::uninitialized() };
let mut vm: u64 = unsafe { mem::uninitialized() };
let e10: i32;
let mut vm_is_trailing_zeros = false;
let mut vr_is_trailing_zeros = false;
if e2 >= 0 {
let q = (log10_pow2(e2) - (e2 > 3) as i32) as u32;
e10 = q as i32;
let k = DOUBLE_POW5_INV_BITCOUNT + pow5bits(q as i32) as i32 - 1;
let i = -e2 + q as i32 + k;
vr = mul_shift_all(
m2,
#[cfg(feature = "small")]
unsafe {
&compute_inv_pow5(q)
},
#[cfg(not(feature = "small"))]
unsafe {
debug_assert!(q < DOUBLE_POW5_INV_SPLIT.len() as u32);
DOUBLE_POW5_INV_SPLIT.get_unchecked(q as usize)
},
i as u32,
&mut vp,
&mut vm,
mm_shift,
);
if q <= 21 {
let mv_mod5 = (mv - 5 * div5(mv)) as u32;
if mv_mod5 == 0 {
vr_is_trailing_zeros = multiple_of_power_of_5(mv, q);
} else if accept_bounds {
vm_is_trailing_zeros = multiple_of_power_of_5(mv - 1 - mm_shift as u64, q);
} else {
vp -= multiple_of_power_of_5(mv + 2, q) as u64;
}
}
} else {
let q = (log10_pow5(-e2) - (-e2 > 1) as i32) as u32;
e10 = q as i32 + e2;
let i = -e2 - q as i32;
let k = pow5bits(i) as i32 - DOUBLE_POW5_BITCOUNT;
let j = q as i32 - k;
vr = mul_shift_all(
m2,
#[cfg(feature = "small")]
unsafe {
&compute_pow5(i as u32)
},
#[cfg(not(feature = "small"))]
unsafe {
debug_assert!(i < DOUBLE_POW5_SPLIT.len() as i32);
DOUBLE_POW5_SPLIT.get_unchecked(i as usize)
},
j as u32,
&mut vp,
&mut vm,
mm_shift,
);
if q <= 1 {
vr_is_trailing_zeros = true;
if accept_bounds {
vm_is_trailing_zeros = mm_shift == 1;
} else {
vp -= 1;
}
} else if q < 63 {
vr_is_trailing_zeros = multiple_of_power_of_2(mv, q - 1);
}
}
let mut removed = 0u32;
let mut last_removed_digit = 0u8;
let output = if vm_is_trailing_zeros || vr_is_trailing_zeros {
loop {
let vp_div10 = div10(vp);
let vm_div10 = div10(vm);
if vp_div10 <= vm_div10 {
break;
}
let vm_mod10 = (vm - 10 * vm_div10) as u32;
let vr_div10 = div10(vr);
let vr_mod10 = (vr - 10 * vr_div10) as u32;
vm_is_trailing_zeros &= vm_mod10 == 0;
vr_is_trailing_zeros &= last_removed_digit == 0;
last_removed_digit = vr_mod10 as u8;
vr = vr_div10;
vp = vp_div10;
vm = vm_div10;
removed += 1;
}
if vm_is_trailing_zeros {
loop {
let vm_div10 = div10(vm);
let vm_mod10 = (vm - 10 * vm_div10) as u32;
if vm_mod10 != 0 {
break;
}
let vp_div10 = div10(vp);
let vr_div10 = div10(vr);
let vr_mod10 = (vr - 10 * vr_div10) as u32;
vr_is_trailing_zeros &= last_removed_digit == 0;
last_removed_digit = vr_mod10 as u8;
vr = vr_div10;
vp = vp_div10;
vm = vm_div10;
removed += 1;
}
}
if vr_is_trailing_zeros && last_removed_digit == 5 && vr % 2 == 0 {
last_removed_digit = 4;
}
vr + ((vr == vm && (!accept_bounds || !vm_is_trailing_zeros)) || last_removed_digit >= 5)
as u64
} else {
let mut round_up = false;
let vp_div100 = div100(vp);
let vm_div100 = div100(vm);
if vp_div100 > vm_div100 {
let vr_div100 = div100(vr);
let vr_mod100 = (vr - 100 * vr_div100) as u32;
round_up = vr_mod100 >= 50;
vr = vr_div100;
vp = vp_div100;
vm = vm_div100;
removed += 2;
}
loop {
let vp_div10 = div10(vp);
let vm_div10 = div10(vm);
if vp_div10 <= vm_div10 {
break;
}
let vr_div10 = div10(vr);
let vr_mod10 = (vr - 10 * vr_div10) as u32;
round_up = vr_mod10 >= 5;
vr = vr_div10;
vp = vp_div10;
vm = vm_div10;
removed += 1;
}
vr + (vr == vm || round_up) as u64
};
let exp = e10 + removed as i32;
FloatingDecimal64 {
exponent: exp,
mantissa: output,
}
}
#[cfg_attr(feature = "no-panic", inline)]
unsafe fn to_chars(v: FloatingDecimal64, sign: bool, result: *mut u8) -> usize {
let mut index = 0isize;
if sign {
*result.offset(index) = b'-';
index += 1;
}
let mut output = v.mantissa;
let olength = decimal_length(output);
let mut i = 0isize;
if (output >> 32) != 0 {
let q = div100_000_000(output);
let mut output2 = (output - 100_000_000 * q) as u32;
output = q;
let c = output2 % 10000;
output2 /= 10000;
let d = output2 % 10000;
let c0 = (c % 100) << 1;
let c1 = (c / 100) << 1;
let d0 = (d % 100) << 1;
let d1 = (d / 100) << 1;
ptr::copy_nonoverlapping(
DIGIT_TABLE.get_unchecked(c0 as usize),
result.offset(index + olength as isize - i - 1),
2,
);
ptr::copy_nonoverlapping(
DIGIT_TABLE.get_unchecked(c1 as usize),
result.offset(index + olength as isize - i - 3),
2,
);
ptr::copy_nonoverlapping(
DIGIT_TABLE.get_unchecked(d0 as usize),
result.offset(index + olength as isize - i - 5),
2,
);
ptr::copy_nonoverlapping(
DIGIT_TABLE.get_unchecked(d1 as usize),
result.offset(index + olength as isize - i - 7),
2,
);
i += 8;
}
let mut output2 = output as u32;
while output2 >= 10000 {
let c = (output2 - 10000 * (output2 / 10000)) as u32;
output2 /= 10000;
let c0 = (c % 100) << 1;
let c1 = (c / 100) << 1;
ptr::copy_nonoverlapping(
DIGIT_TABLE.get_unchecked(c0 as usize),
result.offset(index + olength as isize - i - 1),
2,
);
ptr::copy_nonoverlapping(
DIGIT_TABLE.get_unchecked(c1 as usize),
result.offset(index + olength as isize - i - 3),
2,
);
i += 4;
}
if output2 >= 100 {
let c = ((output2 % 100) << 1) as u32;
output2 /= 100;
ptr::copy_nonoverlapping(
DIGIT_TABLE.get_unchecked(c as usize),
result.offset(index + olength as isize - i - 1),
2,
);
i += 2;
}
if output2 >= 10 {
let c = (output2 << 1) as u32;
*result.offset(index + olength as isize - i) = *DIGIT_TABLE.get_unchecked(c as usize + 1);
*result.offset(index) = *DIGIT_TABLE.get_unchecked(c as usize);
} else {
*result.offset(index) = b'0' + output2 as u8;
}
if olength > 1 {
*result.offset(index + 1) = b'.';
index += olength as isize + 1;
} else {
index += 1;
}
*result.offset(index) = b'E';
index += 1;
let mut exp = v.exponent as i32 + olength as i32 - 1;
if exp < 0 {
*result.offset(index) = b'-';
index += 1;
exp = -exp;
}
if exp >= 100 {
let c = exp % 10;
ptr::copy_nonoverlapping(
DIGIT_TABLE.get_unchecked((2 * (exp / 10)) as usize),
result.offset(index),
2,
);
*result.offset(index + 2) = b'0' + c as u8;
index += 3;
} else if exp >= 10 {
ptr::copy_nonoverlapping(
DIGIT_TABLE.get_unchecked((2 * exp) as usize),
result.offset(index),
2,
);
index += 2;
} else {
*result.offset(index) = b'0' + exp as u8;
index += 1;
}
debug_assert!(index <= 24);
index as usize
}
#[cfg_attr(must_use_return, must_use)]
#[cfg_attr(feature = "no-panic", no_panic)]
pub unsafe fn d2s_buffered_n(f: f64, result: *mut u8) -> usize {
let bits = mem::transmute::<f64, u64>(f);
let ieee_sign = ((bits >> (DOUBLE_MANTISSA_BITS + DOUBLE_EXPONENT_BITS)) & 1) != 0;
let ieee_mantissa = bits & ((1u64 << DOUBLE_MANTISSA_BITS) - 1);
let ieee_exponent =
(bits >> DOUBLE_MANTISSA_BITS) as u32 & ((1u32 << DOUBLE_EXPONENT_BITS) - 1);
if ieee_exponent == ((1u32 << DOUBLE_EXPONENT_BITS) - 1)
|| (ieee_exponent == 0 && ieee_mantissa == 0)
{
return copy_special_str(result, ieee_sign, ieee_exponent != 0, ieee_mantissa != 0);
}
let v = d2d(ieee_mantissa, ieee_exponent);
to_chars(v, ieee_sign, result)
}