feldera-fxp 0.102.0

Fixed-point decimal with fixed precision and scale
Documentation
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
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
use std::{
    cmp::Ordering,
    fmt::{Debug, Display, Write},
    str::FromStr,
};

use smallstr::SmallString;

use crate::{
    checked_pow10, debug_decimal, display_decimal, parse_decimal, u256::I256, Fixed, OutOfRange,
    ParseDecimalError,
};

/// Decimal real number with 38 digits of precision and dynamic scale.
///
/// This type is primarily meant as a serialized form of `Fixed` that does not
/// require parameterization.  Any `Fixed` can be converted into
/// `DynamicDecimal` and then converted back into any other `Fixed`, possibly
/// with a different precision and scale, without loss of precision (beyond that
/// inherent in change of scale, if any).
#[derive(Copy, Clone, Default)]
#[cfg_attr(feature = "size_of", derive(size_of::SizeOf))]
#[cfg_attr(
    feature = "rkyv",
    derive(rkyv::Archive, rkyv::Serialize, rkyv::Deserialize, rkyv::CheckBytes)
)]
pub struct DynamicDecimal {
    /// The underlying value (significand), multiplied by `10**exponent`.
    pub sig: i128,

    /// The number of digits of `value` that follow the decimal point.
    pub exponent: u8,
}

impl DynamicDecimal {
    /// The largest `DynamicDecimal` value (`i128::MAX`).
    pub const MAX: Self = DynamicDecimal::new(i128::MAX, 0);

    /// The smallest `DynamicDecimal` value (`i128::MIN`).
    pub const MIN: Self = DynamicDecimal::new(i128::MIN, 0);

    /// 0 as `DynamicDecimal`.
    pub const ZERO: Self = DynamicDecimal::new(0, 0);

    /// 1 as `DynamicDecimal`.
    pub const ONE: Self = DynamicDecimal::new(1, 0);

    const fn new(sig: i128, exponent: u8) -> Self {
        Self { sig, exponent }
    }
}

impl<const P: usize, const S: usize> From<Fixed<P, S>> for DynamicDecimal {
    /// Encodes `value`, for later deserialization into a new `Fixed` with
    /// possibly a different precision and scale.
    fn from(value: Fixed<P, S>) -> Self {
        Self {
            sig: value.0,
            exponent: S as u8,
        }
    }
}

impl<const P: usize, const S: usize> TryFrom<DynamicDecimal> for Fixed<P, S> {
    type Error = OutOfRange;

    /// Deserializes [DynamicDecimal] into `Fixed`.  If successful, returns the
    /// original value from before serialization.  If `S < value.exponent`, then
    /// some trailing decimals are lost, by rounding toward zero.  Returns an
    /// error` if the value is out of range for this type.
    fn try_from(value: DynamicDecimal) -> Result<Self, Self::Error> {
        Self::try_new_with_exponent(value.sig, S as i32 - value.exponent as i32).ok_or(OutOfRange)
    }
}

impl Debug for DynamicDecimal {
    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
        debug_decimal(self.sig, self.exponent as usize, f)
    }
}

impl Display for DynamicDecimal {
    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
        display_decimal(self.sig, self.exponent as usize, f)
    }
}

impl FromStr for DynamicDecimal {
    type Err = ParseDecimalError;

    /// Parses `s` as `DynamicDecimal`.
    ///
    /// This accepts the same forms as [f64::from_str], except that it rejects
    /// infinities and NaNs (which `Fixed` does not support), as well as
    /// out-of-range values.  Rounds overprecise values to the nearest
    /// representable value, rounding halfway values to even.
    fn from_str(s: &str) -> Result<Self, Self::Err> {
        let (sig, exponent) = parse_decimal(s, 0)?;
        match (sig, exponent) {
            (0, _) => Ok(Self::ZERO),
            (_, 1..) => {
                let sig = checked_pow10(exponent.cast_unsigned())
                    .and_then(|m| m.checked_mul(sig))
                    .ok_or(ParseDecimalError::OutOfRange)?;
                Ok(Self { sig, exponent: 0 })
            }
            (_, 0) => Ok(Self { sig, exponent: 0 }),
            (_, -255..0) => Ok(Self {
                sig,
                exponent: (-exponent) as u8,
            }),
            (_, ..-255) => {
                // We could "denormalize" by dividing `sig` by a power of 10 and
                // adjusting `exponent`, but the value would inevitably be zero
                // when we convert to `Fixed`, which is what we really care
                // about.
                Ok(Self::ZERO)
            }
        }
    }
}

impl TryFrom<u128> for DynamicDecimal {
    type Error = OutOfRange;

    fn try_from(value: u128) -> Result<Self, Self::Error> {
        Ok(Self {
            sig: value.try_into().map_err(|_| OutOfRange)?,
            exponent: 0,
        })
    }
}

macro_rules! from_int {
    ($type_name:ty) => {
        impl From<$type_name> for DynamicDecimal {
            fn from(value: $type_name) -> Self {
                Self {
                    sig: value as i128,
                    exponent: 0,
                }
            }
        }
    };
}
from_int!(i128);
from_int!(i64);
from_int!(i32);
from_int!(i16);
from_int!(i8);
from_int!(isize);
from_int!(u64);
from_int!(u32);
from_int!(u16);
from_int!(u8);
from_int!(usize);

impl From<DynamicDecimal> for i128 {
    /// Convert from `Fixed` to integer, rounding toward zero (the same
    /// semantics as Rust casts from float to integer).
    fn from(value: DynamicDecimal) -> Self {
        checked_pow10(value.exponent.into()).map_or(0, |divisor| value.sig / divisor)
    }
}

macro_rules! try_to_signed_int {
    ($type_name:ty) => {
        impl TryFrom<DynamicDecimal> for $type_name {
            type Error = OutOfRange;

            /// Convert from `Fixed` to integer, rounding toward zero (the same
            /// semantics as Rust casts from float to integer).
            fn try_from(value: DynamicDecimal) -> Result<Self, Self::Error> {
                match checked_pow10(value.exponent.into()) {
                    Some(divisor) => (value.sig / divisor).try_into().map_err(|_| OutOfRange),
                    None => Ok(0),
                }
            }
        }
    };
}
try_to_signed_int!(i64);
try_to_signed_int!(i32);
try_to_signed_int!(i16);
try_to_signed_int!(i8);
try_to_signed_int!(isize);

/// This is the same as [try_to_signed_int] except for the documentation
/// comment.
macro_rules! try_to_unsigned_int {
    ($type_name:ty) => {
        impl TryFrom<DynamicDecimal> for $type_name {
            type Error = OutOfRange;

            /// Convert from `Fixed` to integer, rounding toward zero (the same
            /// semantics as Rust casts from float to integer).
            ///
            /// Because this rounds toward zero, negative values greater than -1
            /// will convert to 0 instead of an out-of-range error.
            fn try_from(value: DynamicDecimal) -> Result<Self, Self::Error> {
                match checked_pow10(value.exponent.into()) {
                    Some(divisor) => (value.sig / divisor).try_into().map_err(|_| OutOfRange),
                    None => Ok(0),
                }
            }
        }
    };
}
try_to_unsigned_int!(u128);
try_to_unsigned_int!(u64);
try_to_unsigned_int!(u32);
try_to_unsigned_int!(u16);
try_to_unsigned_int!(u8);
try_to_unsigned_int!(usize);

impl TryFrom<f64> for DynamicDecimal {
    type Error = OutOfRange;

    /// Convert `value` to `DynamicDecimal`, reporting an error if `value` is
    /// out of range.
    fn try_from(value: f64) -> Result<Self, Self::Error> {
        // We need to convert binary to decimal.  We could do better, in theory,
        // than formatting to a string and parsing back, but possibly not much
        // better.  If this shows up as important in profiles, then we can
        // improve it, especially if there are important special cases
        // (e.g. integers).
        let mut buf = SmallString::<[u8; 64]>::new();
        write!(&mut buf, "{value:.15e}").unwrap();
        buf.parse().map_err(|_| OutOfRange)
    }
}

impl PartialEq for DynamicDecimal {
    fn eq(&self, other: &Self) -> bool {
        self.cmp(other) == Ordering::Equal
    }
}

impl Eq for DynamicDecimal {}

impl PartialOrd for DynamicDecimal {
    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
        Some(self.cmp(other))
    }
}

impl Ord for DynamicDecimal {
    fn cmp(&self, other: &Self) -> Ordering {
        match self.exponent.cmp(&other.exponent) {
            Ordering::Less => {
                if let Some(multiplier) =
                    checked_pow10(other.exponent as u32 - self.exponent as u32)
                {
                    I256::from_product(self.sig, multiplier).cmp(&I256::from(other.sig))
                } else {
                    match self.sig.cmp(&0) {
                        Ordering::Equal => 0.cmp(&other.sig),
                        ordering => ordering,
                    }
                }
            }
            Ordering::Equal => self.sig.cmp(&other.sig),
            Ordering::Greater => {
                if let Some(multiplier) =
                    checked_pow10(self.exponent as u32 - other.exponent as u32)
                {
                    I256::from(self.sig).cmp(&I256::from_product(other.sig, multiplier))
                } else {
                    match other.sig.cmp(&0) {
                        Ordering::Equal => self.sig.cmp(&0),
                        ordering => ordering.reverse(),
                    }
                }
            }
        }
    }
}

#[cfg(test)]
mod test {
    use crate::{DynamicDecimal, OutOfRange, ParseDecimalError};

    #[test]
    fn eq() {
        assert_eq!(DynamicDecimal::new(123, 2), DynamicDecimal::new(1230, 3));
        assert_eq!(DynamicDecimal::new(1230, 3), DynamicDecimal::new(123, 2));
        assert_eq!(DynamicDecimal::new(123, 2), DynamicDecimal::new(123, 2));
        assert_ne!(DynamicDecimal::new(123, 2), DynamicDecimal::new(123, 3));
    }

    #[test]
    fn compare() {
        type DD = DynamicDecimal;
        fn check_comparisons(dx: DD, dy: DD, x: i128, y: i128) {
            assert_eq!(dx == dy, x == y);
            assert_eq!(dx != dy, x != y);
            assert_eq!(dx > dy, x > y);
            assert_eq!(dx >= dy, x >= y);
            assert_eq!(dx < dy, x < y);
            assert_eq!(dx <= dy, x <= y);
        }

        for x in -999..=999 {
            let fx = DD::new(x, 1);
            for y in -999..=999 {
                check_comparisons(fx, DD::new(y, 0), x, y * 10);
                check_comparisons(fx, DD::new(y, 1), x, y);
                check_comparisons(fx, DD::new(y, 2), x * 10, y);
            }
        }

        // Some handwritten overflow cases.
        check_comparisons(DD::new(0, 40), DD::new(0, 0), 0, 0);
        check_comparisons(DD::new(0, 0), DD::new(0, 40), 0, 0);

        check_comparisons(DD::new(1, 40), DD::new(1, 0), 0, 1);
        check_comparisons(DD::new(1, 40), DD::new(-1, 0), 1, 0);
        check_comparisons(DD::new(-1, 40), DD::new(1, 0), 0, 1);
        check_comparisons(DD::new(-1, 40), DD::new(-1, 0), 1, 0);

        check_comparisons(DD::new(1, 0), DD::new(1, 40), 1, 0);
        check_comparisons(DD::new(1, 0), DD::new(-1, 40), 1, 0);
        check_comparisons(DD::new(-1, 0), DD::new(1, 40), 0, 1);
        check_comparisons(DD::new(-1, 0), DD::new(-1, 40), 0, 1);
    }

    #[test]
    fn from_str() {
        for (s, expect) in [
            ("0", Ok("0")),
            ("0.", Ok("0")),
            (".0", Ok("0")),
            ("-0", Ok("0")),
            ("+0", Ok("0")),
            ("--0", Err(ParseDecimalError::SyntaxError)),
            ("-+0", Err(ParseDecimalError::SyntaxError)),
            ("0x", Err(ParseDecimalError::SyntaxError)),
            ("0e5x", Err(ParseDecimalError::SyntaxError)),
            ("1.23", Ok("1.23")),
            ("-1.23", Ok("-1.23")),
            ("+1.23", Ok("1.23")),
            ("99999999", Ok("99999999")),
            ("999999999", Ok("999999999")),
            ("999999999E-1", Ok("99999999.9")),
            ("9999999999e-1", Ok("999999999.9")),
            ("9999999999E-2", Ok("99999999.99")),
            ("99999999999e-2", Ok("999999999.99")),
            ("99999999999e-3", Ok("99999999.999")),
            ("99999999991e-3", Ok("99999999.991")),
            // This value overflows the range of `i128` as an integer, so it
            // triggers the case where we stop accepting digits and simply
            // adjust the exponent instead.
            (
                "111111111111111111111111111111111111111111e-34",
                Ok("11111111.1111111111111111111111111111111"),
            ),
            // This value overflows the range of `i128` in the fraction, so it
            // triggers the case where we stop accepting digits and simply
            // adjust the exponent instead.
            (
                "1.23456788901234567890123456789012345678890123456",
                Ok("1.23456788901234567890123456789012345678"),
            ),
            // This value positively overflows the exponent.
            ("1e999999999999999", Err(ParseDecimalError::OutOfRange)),
            // This value positively overflows the exponent but the value is 0.
            ("0e999999999999999", Ok("0")),
            // This value negatively overflows the exponent.
            ("1e-999999999999999", Ok("0")),
            // This value overflows the range of `i128` as an integer, which
            // starts adjusting the exponent, and then it overflows the exponent
            // with `e`.
            (
                "111111111111111111111111111111111111111111e2147483644",
                Err(ParseDecimalError::OutOfRange),
            ),
            // This value adjusts the exponent downward, and then it negatively
            // overflows the exponent with `e`.
            (
                ".1111111111111111111111111111111111111111e-2147483648",
                Ok("0"),
            ),
            ("123e5", Ok("12300000")),
            ("123E4", Ok("1230000")),
            ("123e3", Ok("123000")),
            ("123e2", Ok("12300")),
            ("123e1", Ok("1230")),
            ("123e0", Ok("123")),
            ("123e-1", Ok("12.3")),
            ("123e-2", Ok("1.23")),
            (".123", Ok("0.123")),
            (".124", Ok("0.124")),
            (".125", Ok("0.125")),
            (".126", Ok("0.126")),
            (".133", Ok("0.133")),
            (".134", Ok("0.134")),
            (".135", Ok("0.135")),
            (".136", Ok("0.136")),
            ("1e38", Ok("100000000000000000000000000000000000000")),
            ("1e39", Err(ParseDecimalError::OutOfRange)),
            ("1e-255", Ok("0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001")),
            ("1e-256", Ok("0")),
        ] {
            println!("{s}: {:?}", s.parse::<DynamicDecimal>());
            assert_eq!(
                s.parse::<DynamicDecimal>().map(|d| d.to_string()),
                expect.map(|d| d.to_string())
            );
        }
    }

    #[test]
    fn to_integer() {
        for x in -9999..=9999 {
            let f = DynamicDecimal::new(x, 1);
            assert_eq!(i128::from(f), x / 10);
            assert_eq!(i64::try_from(f).unwrap(), (x / 10) as i64);
            assert_eq!(i32::try_from(f).unwrap(), (x / 10) as i32);
            assert_eq!(i16::try_from(f).unwrap(), (x / 10) as i16);
            assert_eq!(
                i8::try_from(f).ok(),
                (-1289..=1279).contains(&x).then_some((x / 10) as i8)
            );
            assert_eq!(
                u128::try_from(f).ok(),
                (x > -10).then_some((x / 10) as u128)
            );
            assert_eq!(u64::try_from(f).ok(), (x > -10).then_some((x / 10) as u64));
            assert_eq!(u32::try_from(f).ok(), (x > -10).then_some((x / 10) as u32));
            assert_eq!(u16::try_from(f).ok(), (x > -10).then_some((x / 10) as u16));
            assert_eq!(
                u8::try_from(f).ok(),
                (-9..=2559).contains(&x).then_some((x / 10) as u8)
            );
        }

        assert_eq!(i128::from(DynamicDecimal::new(1, 40)), 0);
        assert_eq!(i128::from(DynamicDecimal::new(i128::MAX, 0)), i128::MAX);
        assert_eq!(i64::try_from(DynamicDecimal::new(1, 40)), Ok(0));
        assert_eq!(
            i64::try_from(DynamicDecimal::new(i128::MAX, 0)),
            Err(OutOfRange)
        );
        assert_eq!(
            i64::try_from(DynamicDecimal::new(i128::MIN, 0)),
            Err(OutOfRange)
        );
    }
}