1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
//! [![github]](https://github.com/dtolnay/dtoa) [![crates-io]](https://crates.io/crates/dtoa) [![docs-rs]](https://docs.rs/dtoa)
//!
//! [github]: https://img.shields.io/badge/github-8da0cb?style=for-the-badge&labelColor=555555&logo=github
//! [crates-io]: https://img.shields.io/badge/crates.io-fc8d62?style=for-the-badge&labelColor=555555&logo=rust
//! [docs-rs]: https://img.shields.io/badge/docs.rs-66c2a5?style=for-the-badge&labelColor=555555&logo=docs.rs
//!
//! <br>
//!
//! This crate provides fast conversion of floating point primitives to decimal
//! strings. The implementation is a straightforward Rust port of [Milo Yip]'s
//! C++ implementation [dtoa.h]. The original C++ code of each function is
//! included in comments.
//!
//! See also [`itoa`] for printing integer primitives.
//!
//! [Milo Yip]: https://github.com/miloyip
//! [dtoa.h]: https://github.com/miloyip/rapidjson/blob/master/include/rapidjson/internal/dtoa.h
//! [`itoa`]: https://github.com/dtolnay/itoa
//!
//! # Example
//!
//! ```
//! fn main() {
//!     let mut buffer = dtoa::Buffer::new();
//!     let printed = buffer.format(2.71828f64);
//!     assert_eq!(printed, "2.71828");
//! }
//! ```
//!
//! ## Performance (lower is better)
//!
//! ![performance](https://raw.githubusercontent.com/dtolnay/dtoa/master/performance.png)

#![doc(html_root_url = "https://docs.rs/dtoa/1.0.9")]
#![no_std]
#![allow(
    clippy::cast_lossless,
    clippy::cast_possible_truncation,
    clippy::cast_sign_loss,
    clippy::doc_markdown,
    clippy::expl_impl_clone_on_copy,
    clippy::if_not_else,
    clippy::missing_errors_doc,
    clippy::must_use_candidate,
    clippy::range_plus_one,
    clippy::semicolon_if_nothing_returned, // https://github.com/rust-lang/rust-clippy/issues/7768
    clippy::shadow_unrelated,
    clippy::suspicious_else_formatting,
    clippy::transmute_float_to_int,
    clippy::unreadable_literal,
    clippy::unseparated_literal_suffix
)]

#[macro_use]
mod diyfp;
#[macro_use]
mod dtoa;

use core::mem::{self, MaybeUninit};
use core::slice;
use core::str;
#[cfg(feature = "no-panic")]
use no_panic::no_panic;

const NAN: &str = "NaN";
const INFINITY: &str = "inf";
const NEG_INFINITY: &str = "-inf";

/// A correctly sized stack allocation for the formatted float to be written
/// into.
///
/// # Example
///
/// ```
/// let mut buffer = dtoa::Buffer::new();
/// let printed = buffer.format_finite(2.71828);
/// assert_eq!(printed, "2.71828");
/// ```
pub struct Buffer {
    bytes: [MaybeUninit<u8>; 25],
}

impl Default for Buffer {
    #[inline]
    fn default() -> Buffer {
        Buffer::new()
    }
}

impl Copy for Buffer {}

impl Clone for Buffer {
    #[inline]
    #[allow(clippy::incorrect_clone_impl_on_copy_type)] // false positive https://github.com/rust-lang/rust-clippy/issues/11072
    fn clone(&self) -> Self {
        Buffer::new()
    }
}

impl Buffer {
    /// This is a cheap operation; you don't need to worry about reusing buffers
    /// for efficiency.
    #[inline]
    #[cfg_attr(feature = "no-panic", no_panic)]
    pub fn new() -> Buffer {
        let bytes = [MaybeUninit::<u8>::uninit(); 25];
        Buffer { bytes }
    }

    /// Print a floating point number into this buffer and return a reference to
    /// its string representation within the buffer.
    ///
    /// # Special cases
    ///
    /// This function formats NaN as the string "NaN", positive infinity as
    /// "inf", and negative infinity as "-inf" to match std::fmt.
    ///
    /// If your input is known to be finite, you may get better performance by
    /// calling the `format_finite` method instead of `format` to avoid the
    /// checks for special cases.
    #[cfg_attr(feature = "no-panic", no_panic)]
    pub fn format<F: Float>(&mut self, value: F) -> &str {
        if value.is_nonfinite() {
            value.format_nonfinite()
        } else {
            self.format_finite(value)
        }
    }

    /// Print a floating point number into this buffer and return a reference to
    /// its string representation within the buffer.
    ///
    /// # Special cases
    ///
    /// This function **does not** check for NaN or infinity. If the input
    /// number is not a finite float, the printed representation will be some
    /// correctly formatted but unspecified numerical value.
    ///
    /// Please check [`is_finite`] yourself before calling this function, or
    /// check [`is_nan`] and [`is_infinite`] and handle those cases yourself.
    ///
    /// [`is_finite`]: https://doc.rust-lang.org/std/primitive.f64.html#method.is_finite
    /// [`is_nan`]: https://doc.rust-lang.org/std/primitive.f64.html#method.is_nan
    /// [`is_infinite`]: https://doc.rust-lang.org/std/primitive.f64.html#method.is_infinite
    #[cfg_attr(feature = "no-panic", no_panic)]
    pub fn format_finite<F: Float>(&mut self, value: F) -> &str {
        value.write(self)
    }
}

/// A floating point number that can be written into a [`dtoa::Buffer`][Buffer].
///
/// This trait is sealed and cannot be implemented for types outside of dtoa.
pub trait Float: private::Sealed {}

impl Float for f32 {}
impl Float for f64 {}

// Seal to prevent downstream implementations of Float trait.
mod private {
    pub trait Sealed: Copy {
        fn is_nonfinite(self) -> bool;
        fn format_nonfinite(self) -> &'static str;
        fn write(self, buf: &mut crate::Buffer) -> &str;
    }
}

impl private::Sealed for f32 {
    #[inline]
    #[cfg_attr(feature = "no-panic", no_panic)]
    fn is_nonfinite(self) -> bool {
        const EXP_MASK: u32 = 0x7f800000;
        let bits = self.to_bits();
        bits & EXP_MASK == EXP_MASK
    }

    #[cold]
    #[cfg_attr(feature = "no-panic", no_panic)]
    fn format_nonfinite(self) -> &'static str {
        const MANTISSA_MASK: u32 = 0x007fffff;
        const SIGN_MASK: u32 = 0x80000000;
        let bits = self.to_bits();
        if bits & MANTISSA_MASK != 0 {
            NAN
        } else if bits & SIGN_MASK != 0 {
            NEG_INFINITY
        } else {
            INFINITY
        }
    }

    #[inline]
    fn write(self, buf: &mut Buffer) -> &str {
        dtoa! {
            floating_type: f32,
            significand_type: u32,
            exponent_type: i32,

            diy_significand_size: 32,
            significand_size: 23,
            exponent_bias: 0x7F,
            mask_type: u32,
            exponent_mask: 0x7F800000,
            significand_mask: 0x007FFFFF,
            hidden_bit: 0x00800000,
            cached_powers_f: CACHED_POWERS_F_32,
            cached_powers_e: CACHED_POWERS_E_32,
            min_power: (-36),
        };
        unsafe { dtoa(buf, self) }
    }
}

impl private::Sealed for f64 {
    #[inline]
    #[cfg_attr(feature = "no-panic", no_panic)]
    fn is_nonfinite(self) -> bool {
        const EXP_MASK: u64 = 0x7ff0000000000000;
        let bits = self.to_bits();
        bits & EXP_MASK == EXP_MASK
    }

    #[cold]
    #[cfg_attr(feature = "no-panic", no_panic)]
    fn format_nonfinite(self) -> &'static str {
        const MANTISSA_MASK: u64 = 0x000fffffffffffff;
        const SIGN_MASK: u64 = 0x8000000000000000;
        let bits = self.to_bits();
        if bits & MANTISSA_MASK != 0 {
            NAN
        } else if bits & SIGN_MASK != 0 {
            NEG_INFINITY
        } else {
            INFINITY
        }
    }

    #[inline]
    fn write(self, buf: &mut Buffer) -> &str {
        dtoa! {
            floating_type: f64,
            significand_type: u64,
            exponent_type: isize,

            diy_significand_size: 64,
            significand_size: 52,
            exponent_bias: 0x3FF,
            mask_type: u64,
            exponent_mask: 0x7FF0000000000000,
            significand_mask: 0x000FFFFFFFFFFFFF,
            hidden_bit: 0x0010000000000000,
            cached_powers_f: CACHED_POWERS_F_64,
            cached_powers_e: CACHED_POWERS_E_64,
            min_power: (-348),
        };
        unsafe { dtoa(buf, self) }
    }
}

////////////////////////////////////////////////////////////////////////////////

const MAX_DECIMAL_PLACES: isize = 324;

static DEC_DIGITS_LUT: [u8; 200] = *b"\
    0001020304050607080910111213141516171819\
    2021222324252627282930313233343536373839\
    4041424344454647484950515253545556575859\
    6061626364656667686970717273747576777879\
    8081828384858687888990919293949596979899";

// 10^-36, 10^-28, ..., 10^52
#[rustfmt::skip]
static CACHED_POWERS_F_32: [u32; 12] = [
    0xaa242499, 0xfd87b5f3, 0xbce50865, 0x8cbccc09,
    0xd1b71759, 0x9c400000, 0xe8d4a510, 0xad78ebc6,
    0x813f3979, 0xc097ce7c, 0x8f7e32ce, 0xd5d238a5,
];

#[rustfmt::skip]
static CACHED_POWERS_E_32: [i16; 12] = [
    -151, -125, -98, -71, -45, -18, 8, 35, 62, 88, 115, 141,
];

// 10^-348, 10^-340, ..., 10^340
#[rustfmt::skip]
static CACHED_POWERS_F_64: [u64; 87] = [
    0xfa8fd5a0081c0288, 0xbaaee17fa23ebf76,
    0x8b16fb203055ac76, 0xcf42894a5dce35ea,
    0x9a6bb0aa55653b2d, 0xe61acf033d1a45df,
    0xab70fe17c79ac6ca, 0xff77b1fcbebcdc4f,
    0xbe5691ef416bd60c, 0x8dd01fad907ffc3c,
    0xd3515c2831559a83, 0x9d71ac8fada6c9b5,
    0xea9c227723ee8bcb, 0xaecc49914078536d,
    0x823c12795db6ce57, 0xc21094364dfb5637,
    0x9096ea6f3848984f, 0xd77485cb25823ac7,
    0xa086cfcd97bf97f4, 0xef340a98172aace5,
    0xb23867fb2a35b28e, 0x84c8d4dfd2c63f3b,
    0xc5dd44271ad3cdba, 0x936b9fcebb25c996,
    0xdbac6c247d62a584, 0xa3ab66580d5fdaf6,
    0xf3e2f893dec3f126, 0xb5b5ada8aaff80b8,
    0x87625f056c7c4a8b, 0xc9bcff6034c13053,
    0x964e858c91ba2655, 0xdff9772470297ebd,
    0xa6dfbd9fb8e5b88f, 0xf8a95fcf88747d94,
    0xb94470938fa89bcf, 0x8a08f0f8bf0f156b,
    0xcdb02555653131b6, 0x993fe2c6d07b7fac,
    0xe45c10c42a2b3b06, 0xaa242499697392d3,
    0xfd87b5f28300ca0e, 0xbce5086492111aeb,
    0x8cbccc096f5088cc, 0xd1b71758e219652c,
    0x9c40000000000000, 0xe8d4a51000000000,
    0xad78ebc5ac620000, 0x813f3978f8940984,
    0xc097ce7bc90715b3, 0x8f7e32ce7bea5c70,
    0xd5d238a4abe98068, 0x9f4f2726179a2245,
    0xed63a231d4c4fb27, 0xb0de65388cc8ada8,
    0x83c7088e1aab65db, 0xc45d1df942711d9a,
    0x924d692ca61be758, 0xda01ee641a708dea,
    0xa26da3999aef774a, 0xf209787bb47d6b85,
    0xb454e4a179dd1877, 0x865b86925b9bc5c2,
    0xc83553c5c8965d3d, 0x952ab45cfa97a0b3,
    0xde469fbd99a05fe3, 0xa59bc234db398c25,
    0xf6c69a72a3989f5c, 0xb7dcbf5354e9bece,
    0x88fcf317f22241e2, 0xcc20ce9bd35c78a5,
    0x98165af37b2153df, 0xe2a0b5dc971f303a,
    0xa8d9d1535ce3b396, 0xfb9b7cd9a4a7443c,
    0xbb764c4ca7a44410, 0x8bab8eefb6409c1a,
    0xd01fef10a657842c, 0x9b10a4e5e9913129,
    0xe7109bfba19c0c9d, 0xac2820d9623bf429,
    0x80444b5e7aa7cf85, 0xbf21e44003acdd2d,
    0x8e679c2f5e44ff8f, 0xd433179d9c8cb841,
    0x9e19db92b4e31ba9, 0xeb96bf6ebadf77d9,
    0xaf87023b9bf0ee6b,
];

#[rustfmt::skip]
static CACHED_POWERS_E_64: [i16; 87] = [
    -1220, -1193, -1166, -1140, -1113, -1087, -1060, -1034, -1007,  -980,
    -954,   -927,  -901,  -874,  -847,  -821,  -794,  -768,  -741,  -715,
    -688,   -661,  -635,  -608,  -582,  -555,  -529,  -502,  -475,  -449,
    -422,   -396,  -369,  -343,  -316,  -289,  -263,  -236,  -210,  -183,
    -157,   -130,  -103,   -77,   -50,   -24,     3,    30,    56,    83,
     109,    136,   162,   189,   216,   242,   269,   295,   322,   348,
     375,    402,   428,   455,   481,   508,   534,   561,   588,   614,
     641,    667,   694,   720,   747,   774,   800,   827,   853,   880,
     907,    933,   960,   986,  1013,  1039,  1066,
];