math-mumu 0.1.0

Math functions plugin for the Mumu / Lava language
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
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
// math/src/arb.rs

use std::fmt;

// In debug builds, `debug_log!` prints to stderr if `verbose` is true.
// In release builds, it does nothing.
#[cfg(debug_assertions)]
macro_rules! debug_log {
    ($verbose:expr, $($arg:tt)*) => {
        if $verbose {
            eprintln!($($arg)*);
        }
    }
}

#[cfg(not(debug_assertions))]
macro_rules! debug_log {
    ($verbose:expr, $($arg:tt)*) => {};
}

use mumu::parser::interpreter::Interpreter;
use mumu::parser::types::Value;

/// A naive string-based decimal type plus a Pratt-style parser.
/// We fix digits in add_strings_inner to convert properly.
#[derive(Clone, Debug, PartialEq, Eq)]
pub struct ArbDecimal {
    sign: i8,          // +1 or -1
    int_part: String,  // e.g. "123"
    frac_part: String, // e.g. "456"
}

impl ArbDecimal {
    pub fn parse(s: &str, _verbose: bool) -> Result<ArbDecimal, String> {
        debug_log!(_verbose, "DEBUG parse => raw input='{}'", s);
        let trimmed = s.trim();
        if trimmed.is_empty() {
            debug_log!(_verbose, "DEBUG parse => empty => error");
            return Err("Cannot parse empty decimal".to_string());
        }
        let mut sign = 1i8;
        let mut idx = 0;
        if let Some(ch) = trimmed.chars().next() {
            if ch == '-' {
                sign = -1;
                idx = 1;
            } else if ch == '+' {
                idx = 1;
            }
        }
        let slice = &trimmed[idx..];
        let parts = slice.split('.').collect::<Vec<_>>();
        if parts.len() > 2 {
            debug_log!(_verbose, "DEBUG parse => found multiple dots => error => '{}'", s);
            return Err(format!("Invalid decimal: '{}'", s));
        }
        let int_str = parts[0];
        let frac_str = if parts.len() == 2 { parts[1] } else { "" };

        if !int_str.chars().all(|c| c.is_ascii_digit()) && !int_str.is_empty() {
            debug_log!(_verbose, "DEBUG parse => invalid int_part => '{}'", int_str);
            return Err(format!("Invalid int part: '{}'", int_str));
        }
        if !frac_str.chars().all(|c| c.is_ascii_digit()) {
            debug_log!(_verbose, "DEBUG parse => invalid frac_part => '{}'", frac_str);
            return Err(format!("Invalid frac part: '{}'", frac_str));
        }

        let mut i2 = int_str.to_string();
        if i2.is_empty() {
            i2 = "0".to_string();
        }

        let result = ArbDecimal {
            sign,
            int_part: i2,
            frac_part: frac_str.to_string(),
        };
        debug_log!(_verbose, "DEBUG parse => final => {:?}", result);
        Ok(result)
    }

    fn as_whole_digits(&self, _verbose: bool) -> (String, usize) {
        let frac_len = self.frac_part.len();
        let mut combined = self.int_part.clone();
        if frac_len > 0 {
            combined.push_str(&self.frac_part);
        }
        let trimmed = strip_leading_zeros(&combined);
        let final_str = if trimmed.is_empty() { "0".to_string() } else { trimmed };
        debug_log!(_verbose,
                   "DEBUG as_whole_digits => self={:?}, combined='{}', final_str='{}', frac_len={}",
                   self, combined, final_str, frac_len);
        (final_str, frac_len)
    }

    fn from_whole_digits(s: &str, frac_len: usize, sign: i8, _verbose: bool) -> ArbDecimal {
        debug_log!(_verbose, "DEBUG from_whole_digits => s='{}', frac_len={}, sign={}", s, frac_len, sign);
        if s == "0" {
            debug_log!(_verbose, "DEBUG from_whole_digits => s='0' => returning zero decimal");
            return ArbDecimal {
                sign,
                int_part: "0".to_string(),
                frac_part: "".to_string(),
            };
        }
        let trimmed = strip_leading_zeros(s);
        if trimmed == "0" {
            debug_log!(_verbose, "DEBUG from_whole_digits => all zeros => returning zero decimal");
            return ArbDecimal {
                sign,
                int_part: "0".to_string(),
                frac_part: "".to_string(),
            };
        }
        let total_len = trimmed.len();
        if frac_len >= total_len {
            let leading_zeros = frac_len - total_len;
            let frac_p = format!("{}{}", "0".repeat(leading_zeros), trimmed);
            debug_log!(_verbose,
                       "DEBUG from_whole_digits => frac_len >= total_len => leading_zeros={} => frac_p='{}'",
                       leading_zeros, frac_p);
            ArbDecimal {
                sign,
                int_part: "0".to_string(),
                frac_part: frac_p,
            }
        } else {
            let split_pos = total_len - frac_len;
            let int_part_raw = &trimmed[..split_pos];
            let frac_part_raw = &trimmed[split_pos..];
            debug_log!(_verbose,
                       "DEBUG from_whole_digits => int_part_raw='{}', frac_part_raw='{}'",
                       int_part_raw, frac_part_raw);
            let final_int = if int_part_raw.is_empty() {
                "0".to_string()
            } else {
                strip_leading_zeros(int_part_raw)
            };
            ArbDecimal {
                sign,
                int_part: final_int,
                frac_part: frac_part_raw.to_string(),
            }
        }
    }

    fn is_zero(&self) -> bool {
        self.int_part == "0" && (self.frac_part.is_empty() || self.frac_part == "0")
    }

    pub fn add(&self, other: &ArbDecimal, verbose: bool) -> ArbDecimal {
        debug_log!(verbose, "DEBUG add => self={:?}, other={:?}", self, other);
        if self.sign != other.sign {
            debug_log!(verbose, "DEBUG add => different sign => call sub(neg other)");
            let neg = ArbDecimal {
                sign: -other.sign,
                int_part: other.int_part.clone(),
                frac_part: other.frac_part.clone(),
            };
            return self.sub(&neg, verbose);
        }
        let sign = self.sign;
        let (ld, lf) = self.as_whole_digits(verbose);
        let (rd, rf) = other.as_whole_digits(verbose);
        let maxf = lf.max(rf);
        debug_log!(verbose, "DEBUG add => lf={}, rf={}, maxf={}", lf, rf, maxf);

        let pad_left = if maxf > lf { maxf - lf } else { 0 };
        debug_log!(verbose, "DEBUG add => pad_left={}", pad_left);
        let ld2 = format!("{}{}", ld, "0".repeat(pad_left));

        let pad_right = if maxf > rf { maxf - rf } else { 0 };
        debug_log!(verbose, "DEBUG add => pad_right={}", pad_right);
        let rd2 = format!("{}{}", rd, "0".repeat(pad_right));

        debug_log!(verbose, "DEBUG add => ld2='{}', rd2='{}'", ld2, rd2);
        let sum_str = add_strings(&ld2, &rd2, verbose);
        let result = ArbDecimal::from_whole_digits(&sum_str, maxf, sign, verbose);
        debug_log!(verbose, "DEBUG add => final result={:?}", result);
        result
    }

    pub fn sub(&self, other: &ArbDecimal, verbose: bool) -> ArbDecimal {
        debug_log!(verbose, "DEBUG sub => self={:?}, other={:?}", self, other);
        if self.sign != other.sign {
            debug_log!(verbose, "DEBUG sub => different sign => call add(neg other)");
            let neg = ArbDecimal {
                sign: -other.sign,
                int_part: other.int_part.clone(),
                frac_part: other.frac_part.clone(),
            };
            return self.add(&neg, verbose);
        }
        let sign = self.sign;
        let (ld, lf) = self.as_whole_digits(verbose);
        let (rd, rf) = other.as_whole_digits(verbose);
        let maxf = lf.max(rf);
        debug_log!(verbose, "DEBUG sub => lf={}, rf={}, maxf={}", lf, rf, maxf);

        let pad_left = if maxf > lf { maxf - lf } else { 0 };
        debug_log!(verbose, "DEBUG sub => pad_left={}", pad_left);
        let ld2 = format!("{}{}", ld, "0".repeat(pad_left));

        let pad_right = if maxf > rf { maxf - rf } else { 0 };
        debug_log!(verbose, "DEBUG sub => pad_right={}", pad_right);
        let rd2 = format!("{}{}", rd, "0".repeat(pad_right));

        debug_log!(verbose, "DEBUG sub => ld2='{}', rd2='{}'", ld2, rd2);
        let cmp = compare_strings(&ld2, &rd2);
        if cmp == 0 {
            debug_log!(verbose, "DEBUG sub => they are equal => zero result");
            return ArbDecimal {
                sign: 1,
                int_part: "0".to_string(),
                frac_part: "".to_string(),
            };
        }
        if cmp > 0 {
            let diff_str = sub_strings(&ld2, &rd2, verbose);
            let result = ArbDecimal::from_whole_digits(&diff_str, maxf, sign, verbose);
            debug_log!(verbose, "DEBUG sub => final result={:?}", result);
            result
        } else {
            let diff_str = sub_strings(&rd2, &ld2, verbose);
            let result = ArbDecimal::from_whole_digits(&diff_str, maxf, -sign, verbose);
            debug_log!(verbose, "DEBUG sub => final result={:?}", result);
            result
        }
    }

    pub fn mul(&self, other: &ArbDecimal, verbose: bool) -> ArbDecimal {
        debug_log!(verbose, "DEBUG mul => self={:?}, other={:?}", self, other);
        let sign = if self.sign == other.sign { 1 } else { -1 };
        let (ld, lf) = self.as_whole_digits(verbose);
        let (rd, rf) = other.as_whole_digits(verbose);
        let total_f = lf + rf;
        debug_log!(verbose, "DEBUG mul => lf={}, rf={}, total_f={}", lf, rf, total_f);

        if ld == "0" || rd == "0" {
            debug_log!(verbose, "DEBUG mul => at least one is '0' => returning zero");
            return ArbDecimal {
                sign: 1,
                int_part: "0".to_string(),
                frac_part: "".to_string(),
            };
        }
        debug_log!(verbose, "DEBUG mul => ld='{}', rd='{}'", ld, rd);
        let prod_str = mul_strings(&ld, &rd, verbose);
        let result = ArbDecimal::from_whole_digits(&prod_str, total_f, sign, verbose);
        debug_log!(verbose, "DEBUG mul => final result={:?}", result);
        result
    }

    pub fn div(&self, other: &ArbDecimal, precision: usize, verbose: bool) -> Result<ArbDecimal, String> {
        debug_log!(verbose, "DEBUG div => self={:?}, other={:?}, precision={}", self, other, precision);
        if other.is_zero() {
            debug_log!(verbose, "DEBUG div => error => division by zero");
            return Err("Division by zero".to_string());
        }
        let sign = if self.sign == other.sign { 1 } else { -1 };
        let (ld, lf) = self.as_whole_digits(verbose);
        let (rd, rf) = other.as_whole_digits(verbose);

        let shift = (precision + rf).saturating_sub(lf);
        debug_log!(verbose, "DEBUG div => ld='{}', lf={}, rd='{}', rf={}, shift={}", ld, lf, rd, rf, shift);
        let scaled_num = format!("{}{}", ld, "0".repeat(shift));
        debug_log!(verbose, "DEBUG div => scaled_num='{}'", scaled_num);
        let (q, _rem) = div_strings(&scaled_num, &rd, verbose);
        let dec = ArbDecimal::from_whole_digits(&q, precision, sign, verbose);
        debug_log!(verbose, "DEBUG div => final result={:?}", dec);
        Ok(dec)
    }
}

fn compare_strings(a: &str, b: &str) -> i32 {
    let aa = strip_leading_zeros(a);
    let bb = strip_leading_zeros(b);
    if aa.len() > bb.len() {
        1
    } else if aa.len() < bb.len() {
        -1
    } else {
        aa.cmp(&bb) as i32
    }
}

fn strip_leading_zeros(s: &str) -> String {
    let t = s.trim_start_matches('0');
    if t.is_empty() {
        "0".to_string()
    } else {
        t.to_string()
    }
}

#[cfg(debug_assertions)]
fn add_strings(a: &str, b: &str, verbose: bool) -> String {
    debug_log!(verbose, "DEBUG add_strings => a='{}', b='{}'", a, b);
    let r = add_strings_inner(a, b);
    debug_log!(verbose, " => result='{}'", r);
    r
}
#[cfg(not(debug_assertions))]
fn add_strings(a: &str, b: &str, _verbose: bool) -> String {
    add_strings_inner(a, b)
}

/// The fix: add `'0'` to `(sum % 10)` so we get `'2'` instead of ascii code 2, etc.
fn add_strings_inner(a: &str, b: &str) -> String {
    let mut carry = 0;
    let mut res = String::new();
    let mut i = a.len();
    let mut j = b.len();
    while i > 0 || j > 0 || carry > 0 {
        let x = if i > 0 { (a.as_bytes()[i - 1] - b'0') as i32 } else { 0 };
        let y = if j > 0 { (b.as_bytes()[j - 1] - b'0') as i32 } else { 0 };
        let sum = x + y + carry;
        carry = sum / 10;
        let digit = (sum % 10) as u8 + b'0';
        res.push(digit as char);
        if i > 0 { i -= 1; }
        if j > 0 { j -= 1; }
    }
    res.chars().rev().collect()
}

#[cfg(debug_assertions)]
fn sub_strings(a: &str, b: &str, verbose: bool) -> String {
    debug_log!(verbose, "DEBUG sub_strings => a='{}', b='{}'", a, b);
    let r = sub_strings_inner(a, b);
    debug_log!(verbose, " => result='{}'", r);
    r
}
#[cfg(not(debug_assertions))]
fn sub_strings(a: &str, b: &str, _verbose: bool) -> String {
    sub_strings_inner(a, b)
}
fn sub_strings_inner(a: &str, b: &str) -> String {
    let mut res = String::new();
    let mut borrow = 0;
    let mut i = a.len();
    let mut j = b.len();
    while i > 0 || j > 0 {
        let mut x = if i > 0 { (a.as_bytes()[i - 1] - b'0') as i32 } else { 0 };
        let y = if j > 0 { (b.as_bytes()[j - 1] - b'0') as i32 } else { 0 };
        x -= borrow;
        if x < y {
            x += 10;
            borrow = 1;
        } else {
            borrow = 0;
        }
        let diff = x - y;
        res.push((diff as u8 + b'0') as char);
        if i > 0 { i -= 1; }
        if j > 0 { j -= 1; }
    }
    let rr = res.chars().rev().collect::<String>();
    strip_leading_zeros(&rr)
}

#[cfg(debug_assertions)]
fn mul_strings(a: &str, b: &str, verbose: bool) -> String {
    debug_log!(verbose, "DEBUG mul_strings => a='{}', b='{}'", a, b);
    let r = mul_strings_inner(a, b);
    debug_log!(verbose, " => result='{}'", r);
    r
}
#[cfg(not(debug_assertions))]
fn mul_strings(a: &str, b: &str, _verbose: bool) -> String {
    mul_strings_inner(a, b)
}
fn mul_strings_inner(a: &str, b: &str) -> String {
    if a == "0" || b == "0" {
        println!("DEBUG mul_strings => one is '0' => returning '0'");
        return "0".to_string();
    }
    let la = a.len();
    let lb = b.len();
    let mut arr = vec![0i32; la + lb];
    for i in (0..la).rev() {
        let av = (a.as_bytes()[i] - b'0') as i32;
        for j in (0..lb).rev() {
            let bv = (b.as_bytes()[j] - b'0') as i32;
            let sum = av * bv + arr[i + j + 1];
            arr[i + j + 1] = sum % 10;
            arr[i + j] += sum / 10;
        }
    }
    let mut s = String::new();
    for d in arr {
        s.push((d as u8 + b'0') as char);
    }
    strip_leading_zeros(&s)
}

#[cfg(debug_assertions)]
fn div_strings(a: &str, b: &str, verbose: bool) -> (String, String) {
    debug_log!(verbose, "DEBUG div_strings => a='{}', b='{}'", a, b);
    let (q, r) = div_strings_inner(a, b);
    debug_log!(verbose, " => quotient='{}', remainder='{}'", q, r);
    (q, r)
}
#[cfg(not(debug_assertions))]
fn div_strings(a: &str, b: &str, _verbose: bool) -> (String, String) {
    div_strings_inner(a, b)
}
fn div_strings_inner(a: &str, b: &str) -> (String, String) {
    if b == "0" {
        println!("DEBUG div_strings => b='0' => returning (\"0\",\"0\")");
        return ("0".to_string(), "0".to_string());
    }
    if a == "0" {
        println!("DEBUG div_strings => a='0' => returning (\"0\",\"0\")");
        return ("0".to_string(), "0".to_string());
    }
    let bb = strip_leading_zeros(b);
    let mut remainder = String::new();
    let mut quotient = String::new();
    for ch in a.chars() {
        remainder.push(ch);
        remainder = strip_leading_zeros(&remainder);
        let mut count = 0;
        while compare_strings(&remainder, &bb) >= 0 {
            remainder = sub_strings_inner(&remainder, &bb);
            count += 1;
        }
        quotient.push((count as u8 + b'0') as char);
    }
    let qf = strip_leading_zeros(&quotient);
    let rf = strip_leading_zeros(&remainder);
    println!("DEBUG div_strings => final => quotient='{}', remainder='{}'", qf, rf);
    (qf, rf)
}

// For bridging => we define math_arb_bridge below.

#[derive(Debug, Clone)]
enum Token {
    LParen,
    RParen,
    Plus,
    Minus,
    Star,
    Slash,
    Number(ArbDecimal),
}

#[derive(Debug, Clone)]
pub enum Expr {
    Number(ArbDecimal),
    Infix(Op, Box<Expr>, Box<Expr>),
}

#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum Op {
    Add,
    Sub,
    Mul,
    Div,
}

/// Evaluate an expression string, controlling debug logs with `verbose`.
pub fn eval_arb_expression(input: &str, verbose: bool) -> Result<String, String> {
    debug_log!(verbose, "DEBUG eval_arb_expression => input='{}'", input);
    let tokens = tokenize(input, verbose)?;
    debug_log!(verbose, "DEBUG => tokens={:?}", tokens);
    let mut parser = PrattParser::new(tokens, verbose);
    let expr = parser.parse_expr(0)?;
    if !parser.is_done() {
        return Err("Unexpected tokens after parse".to_string());
    }
    debug_log!(verbose, "DEBUG => final AST => {:?}", expr);
    let result = eval_expr(&expr, verbose)?;
    debug_log!(verbose, "DEBUG => final decimal => {:?}", result);
    Ok(result.to_string())
}

fn tokenize(input: &str, verbose: bool) -> Result<Vec<Token>, String> {
    debug_log!(verbose, "[tokenize] => '{}'", input);
    let mut chars = input.chars().peekable();
    let mut tokens = Vec::new();

    while let Some(&ch) = chars.peek() {
        match ch {
            ' ' | '\t' | '\n' => {
                chars.next();
            }
            '(' => {
                tokens.push(Token::LParen);
                chars.next();
            }
            ')' => {
                tokens.push(Token::RParen);
                chars.next();
            }
            '+' => {
                tokens.push(Token::Plus);
                chars.next();
            }
            '-' => {
                tokens.push(Token::Minus);
                chars.next();
            }
            '*' => {
                tokens.push(Token::Star);
                chars.next();
            }
            '/' => {
                tokens.push(Token::Slash);
                chars.next();
            }
            '0'..='9' | '.' => {
                let mut s = String::new();
                while let Some(&c2) = chars.peek() {
                    if c2.is_ascii_digit() || c2 == '.' {
                        s.push(c2);
                        chars.next();
                    } else {
                        break;
                    }
                }
                debug_log!(verbose, "[tokenize] => number chunk='{}'", s);
                let dec = ArbDecimal::parse(&s, verbose)
                    .map_err(|e| format!("Decimal parse error: {}", e))?;
                tokens.push(Token::Number(dec));
            }
            _ => {
                return Err(format!("Invalid character '{}'", ch));
            }
        }
    }
    if tokens.is_empty() {
        return Err("No tokens found".to_string());
    }
    debug_log!(verbose, "[tokenize] => tokens={:?}", tokens);
    Ok(tokens)
}

struct PrattParser {
    tokens: Vec<Token>,
    pos: usize,
    verbose: bool,
}

impl PrattParser {
    fn new(tokens: Vec<Token>, verbose: bool) -> Self {
        PrattParser { tokens, pos: 0, verbose }
    }
    fn is_done(&self) -> bool {
        self.pos >= self.tokens.len()
    }
    fn current(&self) -> Option<&Token> {
        self.tokens.get(self.pos)
    }
    fn advance(&mut self) {
        if self.pos < self.tokens.len() {
            self.pos += 1;
        }
    }
    fn parse_expr(&mut self, min_bp: u8) -> Result<Expr, String> {
        let mut lhs = self.parse_prefix()?;
        loop {
            let op = match self.current() {
                Some(Token::Plus) => Op::Add,
                Some(Token::Minus) => Op::Sub,
                Some(Token::Star) => Op::Mul,
                Some(Token::Slash) => Op::Div,
                _ => break,
            };
            let (left_bp, right_bp) = infix_binding_power(op);
            if left_bp < min_bp {
                break;
            }
            self.advance();
            let rhs = self.parse_expr(right_bp)?;
            lhs = Expr::Infix(op, Box::new(lhs), Box::new(rhs));
        }
        Ok(lhs)
    }
    fn parse_prefix(&mut self) -> Result<Expr, String> {
        let tok = self.current().ok_or("Unexpected EOF in parse_prefix")?;
        match tok {
            Token::Number(d) => {
                let dec = d.clone();
                self.advance();
                Ok(Expr::Number(dec))
            }
            Token::Minus => {
                self.advance();
                let factor = self.parse_expr(255)?;
                match factor {
                    Expr::Number(dv) => {
                        let neg = ArbDecimal {
                            sign: -dv.sign,
                            int_part: dv.int_part,
                            frac_part: dv.frac_part,
                        };
                        Ok(Expr::Number(neg))
                    }
                    Expr::Infix(_, _, _) => {
                        let zero = ArbDecimal::parse("0", self.verbose).unwrap();
                        Ok(Expr::Infix(Op::Sub, Box::new(Expr::Number(zero)), Box::new(factor)))
                    }
                }
            }
            Token::LParen => {
                self.advance();
                let sub = self.parse_expr(0)?;
                match self.current() {
                    Some(Token::RParen) => {
                        self.advance();
                        Ok(sub)
                    }
                    _ => Err("Expected ')'".to_string()),
                }
            }
            _ => Err(format!("Unexpected token in prefix: {:?}", tok)),
        }
    }
}

fn infix_binding_power(op: Op) -> (u8, u8) {
    match op {
        Op::Add | Op::Sub => (40, 41),
        Op::Mul | Op::Div => (50, 51),
    }
}

fn eval_expr(expr: &Expr, verbose: bool) -> Result<ArbDecimal, String> {
    match expr {
        Expr::Number(d) => Ok(d.clone()),
        Expr::Infix(op, lhs, rhs) => {
            let lv = eval_expr(lhs, verbose)?;
            let rv = eval_expr(rhs, verbose)?;
            match op {
                Op::Add => Ok(lv.add(&rv, verbose)),
                Op::Sub => Ok(lv.sub(&rv, verbose)),
                Op::Mul => Ok(lv.mul(&rv, verbose)),
                Op::Div => lv.div(&rv, 20, verbose).map_err(|e| e.to_string()),
            }
        }
    }
}

impl fmt::Display for ArbDecimal {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> std::fmt::Result {
        write!(f, "{}", self.to_string())
    }
}

/// The bridging function that `lib.rs` can import as `math_arb_bridge`.
/// We accept exactly one argument: a single string or single-element StrArray.
/// Then parse & evaluate that expression with `eval_arb_expression()`.
pub fn math_arb_bridge(
    interp: &mut Interpreter,
    args: Vec<Value>
) -> Result<Value, String> {
    if args.len() != 1 {
        return Err(format!("math:arb => expected 1 argument, got {}", args.len()));
    }

    let raw_expr = match &args[0] {
        Value::SingleString(s) => s.clone(),
        Value::StrArray(ss) if ss.len() == 1 => ss[0].clone(),
        _ => return Err("math:arb => argument must be a single string".to_string()),
    };

    let verbose = interp.is_verbose();
    let result_str = match eval_arb_expression(&raw_expr, verbose) {
        Ok(s) => s,
        Err(e) => {
            return Err(format!(
                "math:arb => cannot parse '{}': {}",
                raw_expr, e
            ));
        }
    };

    Ok(Value::SingleString(result_str))
}