xref: /freebsd/contrib/bc/manuals/dc/EN.1.md (revision 5956d97f4b3204318ceb6aa9c77bd0bc6ea87a41)
1<!---
2
3SPDX-License-Identifier: BSD-2-Clause
4
5Copyright (c) 2018-2021 Gavin D. Howard and contributors.
6
7Redistribution and use in source and binary forms, with or without
8modification, are permitted provided that the following conditions are met:
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10* Redistributions of source code must retain the above copyright notice, this
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13* Redistributions in binary form must reproduce the above copyright notice,
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29-->
30
31# Name
32
33dc - arbitrary-precision decimal reverse-Polish notation calculator
34
35# SYNOPSIS
36
37**dc** [**-hiPRvVx**] [**-\-version**] [**-\-help**] [**-\-interactive**] [**-\-no-prompt**] [**-\-no-read-prompt**] [**-\-extended-register**] [**-e** *expr*] [**-\-expression**=*expr*...] [**-f** *file*...] [**-\-file**=*file*...] [*file*...]
38
39# DESCRIPTION
40
41dc(1) is an arbitrary-precision calculator. It uses a stack (reverse Polish
42notation) to store numbers and results of computations. Arithmetic operations
43pop arguments off of the stack and push the results.
44
45If no files are given on the command-line, then dc(1) reads from **stdin** (see
46the **STDIN** section). Otherwise, those files are processed, and dc(1) will
47then exit.
48
49If a user wants to set up a standard environment, they can use **DC_ENV_ARGS**
50(see the **ENVIRONMENT VARIABLES** section). For example, if a user wants the
51**scale** always set to **10**, they can set **DC_ENV_ARGS** to **-e 10k**, and
52this dc(1) will always start with a **scale** of **10**.
53
54# OPTIONS
55
56The following are the options that dc(1) accepts.
57
58**-h**, **-\-help**
59
60:   Prints a usage message and quits.
61
62**-v**, **-V**, **-\-version**
63
64:   Print the version information (copyright header) and exit.
65
66**-i**, **-\-interactive**
67
68:   Forces interactive mode. (See the **INTERACTIVE MODE** section.)
69
70    This is a **non-portable extension**.
71
72**-L**, **-\-no-line-length**
73
74:   Disables line length checking and prints numbers without backslashes and
75    newlines. In other words, this option sets **BC_LINE_LENGTH** to **0** (see
76    the **ENVIRONMENT VARIABLES** section).
77
78    This is a **non-portable extension**.
79
80**-P**, **-\-no-prompt**
81
82:   Disables the prompt in TTY mode. (The prompt is only enabled in TTY mode.
83    See the **TTY MODE** section.) This is mostly for those users that do not
84    want a prompt or are not used to having them in dc(1). Most of those users
85    would want to put this option in **DC_ENV_ARGS**.
86
87    These options override the **DC_PROMPT** and **DC_TTY_MODE** environment
88    variables (see the **ENVIRONMENT VARIABLES** section).
89
90    This is a **non-portable extension**.
91
92**-R**, **-\-no-read-prompt**
93
94:   Disables the read prompt in TTY mode. (The read prompt is only enabled in
95    TTY mode. See the **TTY MODE** section.) This is mostly for those users that
96    do not want a read prompt or are not used to having them in dc(1). Most of
97    those users would want to put this option in **BC_ENV_ARGS** (see the
98    **ENVIRONMENT VARIABLES** section). This option is also useful in hash bang
99    lines of dc(1) scripts that prompt for user input.
100
101    This option does not disable the regular prompt because the read prompt is
102    only used when the **?** command is used.
103
104    These options *do* override the **DC_PROMPT** and **DC_TTY_MODE**
105    environment variables (see the **ENVIRONMENT VARIABLES** section), but only
106    for the read prompt.
107
108    This is a **non-portable extension**.
109
110**-x** **-\-extended-register**
111
112:   Enables extended register mode. See the *Extended Register Mode* subsection
113    of the **REGISTERS** section for more information.
114
115    This is a **non-portable extension**.
116
117**-z**, **-\-leading-zeroes**
118
119:   Makes dc(1) print all numbers greater than **-1** and less than **1**, and
120    not equal to **0**, with a leading zero.
121
122    This can be set for individual numbers with the **plz(x)**, plznl(x)**,
123    **pnlz(x)**, and **pnlznl(x)** functions in the extended math library (see
124    the **LIBRARY** section).
125
126    This is a **non-portable extension**.
127
128**-e** *expr*, **-\-expression**=*expr*
129
130:   Evaluates *expr*. If multiple expressions are given, they are evaluated in
131    order. If files are given as well (see below), the expressions and files are
132    evaluated in the order given. This means that if a file is given before an
133    expression, the file is read in and evaluated first.
134
135    If this option is given on the command-line (i.e., not in **DC_ENV_ARGS**,
136    see the **ENVIRONMENT VARIABLES** section), then after processing all
137    expressions and files, dc(1) will exit, unless **-** (**stdin**) was given
138    as an argument at least once to **-f** or **-\-file**, whether on the
139    command-line or in **DC_ENV_ARGS**. However, if any other **-e**,
140    **-\-expression**, **-f**, or **-\-file** arguments are given after **-f-**
141    or equivalent is given, dc(1) will give a fatal error and exit.
142
143    This is a **non-portable extension**.
144
145**-f** *file*, **-\-file**=*file*
146
147:   Reads in *file* and evaluates it, line by line, as though it were read
148    through **stdin**. If expressions are also given (see above), the
149    expressions are evaluated in the order given.
150
151    If this option is given on the command-line (i.e., not in **DC_ENV_ARGS**,
152    see the **ENVIRONMENT VARIABLES** section), then after processing all
153    expressions and files, dc(1) will exit, unless **-** (**stdin**) was given
154    as an argument at least once to **-f** or **-\-file**. However, if any other
155    **-e**, **-\-expression**, **-f**, or **-\-file** arguments are given after
156    **-f-** or equivalent is given, dc(1) will give a fatal error and exit.
157
158    This is a **non-portable extension**.
159
160**-I** *ibase*, **-\-ibase**=*ibase*
161
162:   Sets the builtin variable **ibase** to the value *ibase* assuming that
163    *ibase* is in base 10. It is a fatal error if *ibase* is not a valid number.
164
165    If multiple instances of this option are given, the last is used.
166
167    This is a **non-portable extension**.
168
169**-O** *obase*, **-\-obase**=*obase*
170
171:   Sets the builtin variable **obase** to the value *obase* assuming that
172    *obase* is in base 10. It is a fatal error if *obase* is not a valid number.
173
174    If multiple instances of this option are given, the last is used.
175
176    This is a **non-portable extension**.
177
178**-S** *scale*, **-\-scale**=*scale*
179
180:   Sets the builtin variable **scale** to the value *scale* assuming that
181    *scale* is in base 10. It is a fatal error if *scale* is not a valid number.
182
183    If multiple instances of this option are given, the last is used.
184
185    This is a **non-portable extension**.
186
187All long options are **non-portable extensions**.
188
189# STDIN
190
191If no files are given on the command-line and no files or expressions are given
192by the **-f**, **-\-file**, **-e**, or **-\-expression** options, then dc(1)
193reads from **stdin**.
194
195However, there is a caveat to this.
196
197First, **stdin** is evaluated a line at a time. The only exception to this is if
198a string has been finished, but not ended. This means that, except for escaped
199brackets, all brackets must be balanced before dc(1) parses and executes.
200
201# STDOUT
202
203Any non-error output is written to **stdout**. In addition, if history (see the
204**HISTORY** section) and the prompt (see the **TTY MODE** section) are enabled,
205both are output to **stdout**.
206
207**Note**: Unlike other dc(1) implementations, this dc(1) will issue a fatal
208error (see the **EXIT STATUS** section) if it cannot write to **stdout**, so if
209**stdout** is closed, as in **dc <file> >&-**, it will quit with an error. This
210is done so that dc(1) can report problems when **stdout** is redirected to a
211file.
212
213If there are scripts that depend on the behavior of other dc(1) implementations,
214it is recommended that those scripts be changed to redirect **stdout** to
215**/dev/null**.
216
217# STDERR
218
219Any error output is written to **stderr**.
220
221**Note**: Unlike other dc(1) implementations, this dc(1) will issue a fatal
222error (see the **EXIT STATUS** section) if it cannot write to **stderr**, so if
223**stderr** is closed, as in **dc <file> 2>&-**, it will quit with an error. This
224is done so that dc(1) can exit with an error code when **stderr** is redirected
225to a file.
226
227If there are scripts that depend on the behavior of other dc(1) implementations,
228it is recommended that those scripts be changed to redirect **stderr** to
229**/dev/null**.
230
231# SYNTAX
232
233Each item in the input source code, either a number (see the **NUMBERS**
234section) or a command (see the **COMMANDS** section), is processed and executed,
235in order. Input is processed immediately when entered.
236
237**ibase** is a register (see the **REGISTERS** section) that determines how to
238interpret constant numbers. It is the "input" base, or the number base used for
239interpreting input numbers. **ibase** is initially **10**. The max allowable
240value for **ibase** is **16**. The min allowable value for **ibase** is **2**.
241The max allowable value for **ibase** can be queried in dc(1) programs with the
242**T** command.
243
244**obase** is a register (see the **REGISTERS** section) that determines how to
245output results. It is the "output" base, or the number base used for outputting
246numbers. **obase** is initially **10**. The max allowable value for **obase** is
247**DC_BASE_MAX** and can be queried with the **U** command. The min allowable
248value for **obase** is **2**. Values are output in the specified base.
249
250The *scale* of an expression is the number of digits in the result of the
251expression right of the decimal point, and **scale** is a register (see the
252**REGISTERS** section) that sets the precision of any operations (with
253exceptions). **scale** is initially **0**. **scale** cannot be negative. The max
254allowable value for **scale** can be queried in dc(1) programs with the **V**
255command.
256
257## Comments
258
259Comments go from **#** until, and not including, the next newline. This is a
260**non-portable extension**.
261
262# NUMBERS
263
264Numbers are strings made up of digits, uppercase letters up to **F**, and at
265most **1** period for a radix. Numbers can have up to **DC_NUM_MAX** digits.
266Uppercase letters are equal to **9** + their position in the alphabet (i.e.,
267**A** equals **10**, or **9+1**). If a digit or letter makes no sense with the
268current value of **ibase**, they are set to the value of the highest valid digit
269in **ibase**.
270
271Single-character numbers (i.e., **A** alone) take the value that they would have
272if they were valid digits, regardless of the value of **ibase**. This means that
273**A** alone always equals decimal **10** and **F** alone always equals decimal
274**15**.
275
276# COMMANDS
277
278The valid commands are listed below.
279
280## Printing
281
282These commands are used for printing.
283
284**p**
285
286:   Prints the value on top of the stack, whether number or string, and prints a
287    newline after.
288
289    This does not alter the stack.
290
291**n**
292
293:   Prints the value on top of the stack, whether number or string, and pops it
294    off of the stack.
295
296**P**
297
298:   Pops a value off the stack.
299
300    If the value is a number, it is truncated and the absolute value of the
301    result is printed as though **obase** is **256** and each digit is
302    interpreted as an 8-bit ASCII character, making it a byte stream.
303
304    If the value is a string, it is printed without a trailing newline.
305
306    This is a **non-portable extension**.
307
308**f**
309
310:   Prints the entire contents of the stack, in order from newest to oldest,
311    without altering anything.
312
313    Users should use this command when they get lost.
314
315## Arithmetic
316
317These are the commands used for arithmetic.
318
319**+**
320
321:   The top two values are popped off the stack, added, and the result is pushed
322    onto the stack. The *scale* of the result is equal to the max *scale* of
323    both operands.
324
325**-**
326
327:   The top two values are popped off the stack, subtracted, and the result is
328    pushed onto the stack. The *scale* of the result is equal to the max
329    *scale* of both operands.
330
331**\***
332
333:   The top two values are popped off the stack, multiplied, and the result is
334    pushed onto the stack. If **a** is the *scale* of the first expression and
335    **b** is the *scale* of the second expression, the *scale* of the result
336    is equal to **min(a+b,max(scale,a,b))** where **min()** and **max()** return
337    the obvious values.
338
339**/**
340
341:   The top two values are popped off the stack, divided, and the result is
342    pushed onto the stack. The *scale* of the result is equal to **scale**.
343
344    The first value popped off of the stack must be non-zero.
345
346**%**
347
348:   The top two values are popped off the stack, remaindered, and the result is
349    pushed onto the stack.
350
351    Remaindering is equivalent to 1) Computing **a/b** to current **scale**, and
352    2) Using the result of step 1 to calculate **a-(a/b)\*b** to *scale*
353    **max(scale+scale(b),scale(a))**.
354
355    The first value popped off of the stack must be non-zero.
356
357**~**
358
359:   The top two values are popped off the stack, divided and remaindered, and
360    the results (divided first, remainder second) are pushed onto the stack.
361    This is equivalent to **x y / x y %** except that **x** and **y** are only
362    evaluated once.
363
364    The first value popped off of the stack must be non-zero.
365
366    This is a **non-portable extension**.
367
368**\^**
369
370:   The top two values are popped off the stack, the second is raised to the
371    power of the first, and the result is pushed onto the stack. The *scale* of
372    the result is equal to **scale**.
373
374    The first value popped off of the stack must be an integer, and if that
375    value is negative, the second value popped off of the stack must be
376    non-zero.
377
378**v**
379
380:   The top value is popped off the stack, its square root is computed, and the
381    result is pushed onto the stack. The *scale* of the result is equal to
382    **scale**.
383
384    The value popped off of the stack must be non-negative.
385
386**\_**
387
388:   If this command *immediately* precedes a number (i.e., no spaces or other
389    commands), then that number is input as a negative number.
390
391    Otherwise, the top value on the stack is popped and copied, and the copy is
392    negated and pushed onto the stack. This behavior without a number is a
393    **non-portable extension**.
394
395**b**
396
397:   The top value is popped off the stack, and if it is zero, it is pushed back
398    onto the stack. Otherwise, its absolute value is pushed onto the stack.
399
400    This is a **non-portable extension**.
401
402**|**
403
404:   The top three values are popped off the stack, a modular exponentiation is
405    computed, and the result is pushed onto the stack.
406
407    The first value popped is used as the reduction modulus and must be an
408    integer and non-zero. The second value popped is used as the exponent and
409    must be an integer and non-negative. The third value popped is the base and
410    must be an integer.
411
412    This is a **non-portable extension**.
413
414**G**
415
416:   The top two values are popped off of the stack, they are compared, and a
417    **1** is pushed if they are equal, or **0** otherwise.
418
419    This is a **non-portable extension**.
420
421**N**
422
423:   The top value is popped off of the stack, and if it a **0**, a **1** is
424    pushed; otherwise, a **0** is pushed.
425
426    This is a **non-portable extension**.
427
428**(**
429
430:   The top two values are popped off of the stack, they are compared, and a
431    **1** is pushed if the first is less than the second, or **0** otherwise.
432
433    This is a **non-portable extension**.
434
435**{**
436
437:   The top two values are popped off of the stack, they are compared, and a
438    **1** is pushed if the first is less than or equal to the second, or **0**
439    otherwise.
440
441    This is a **non-portable extension**.
442
443**)**
444
445:   The top two values are popped off of the stack, they are compared, and a
446    **1** is pushed if the first is greater than the second, or **0** otherwise.
447
448    This is a **non-portable extension**.
449
450**}**
451
452:   The top two values are popped off of the stack, they are compared, and a
453    **1** is pushed if the first is greater than or equal to the second, or
454    **0** otherwise.
455
456    This is a **non-portable extension**.
457
458**M**
459
460:   The top two values are popped off of the stack. If they are both non-zero, a
461    **1** is pushed onto the stack. If either of them is zero, or both of them
462    are, then a **0** is pushed onto the stack.
463
464    This is like the **&&** operator in bc(1), and it is *not* a short-circuit
465    operator.
466
467    This is a **non-portable extension**.
468
469**m**
470
471:   The top two values are popped off of the stack. If at least one of them is
472    non-zero, a **1** is pushed onto the stack. If both of them are zero, then a
473    **0** is pushed onto the stack.
474
475    This is like the **||** operator in bc(1), and it is *not* a short-circuit
476    operator.
477
478    This is a **non-portable extension**.
479
480## Stack Control
481
482These commands control the stack.
483
484**c**
485
486:   Removes all items from ("clears") the stack.
487
488**d**
489
490:   Copies the item on top of the stack ("duplicates") and pushes the copy onto
491    the stack.
492
493**r**
494
495:   Swaps ("reverses") the two top items on the stack.
496
497**R**
498
499:   Pops ("removes") the top value from the stack.
500
501## Register Control
502
503These commands control registers (see the **REGISTERS** section).
504
505**s**_r_
506
507:   Pops the value off the top of the stack and stores it into register *r*.
508
509**l**_r_
510
511:   Copies the value in register *r* and pushes it onto the stack. This does not
512    alter the contents of *r*.
513
514**S**_r_
515
516:   Pops the value off the top of the (main) stack and pushes it onto the stack
517    of register *r*. The previous value of the register becomes inaccessible.
518
519**L**_r_
520
521:   Pops the value off the top of the stack for register *r* and push it onto
522    the main stack. The previous value in the stack for register *r*, if any, is
523    now accessible via the **l**_r_ command.
524
525## Parameters
526
527These commands control the values of **ibase**, **obase**, and **scale**. Also
528see the **SYNTAX** section.
529
530**i**
531
532:   Pops the value off of the top of the stack and uses it to set **ibase**,
533    which must be between **2** and **16**, inclusive.
534
535    If the value on top of the stack has any *scale*, the *scale* is ignored.
536
537**o**
538
539:   Pops the value off of the top of the stack and uses it to set **obase**,
540    which must be between **2** and **DC_BASE_MAX**, inclusive (see the
541    **LIMITS** section).
542
543    If the value on top of the stack has any *scale*, the *scale* is ignored.
544
545**k**
546
547:   Pops the value off of the top of the stack and uses it to set **scale**,
548    which must be non-negative.
549
550    If the value on top of the stack has any *scale*, the *scale* is ignored.
551
552**I**
553
554:   Pushes the current value of **ibase** onto the main stack.
555
556**O**
557
558:   Pushes the current value of **obase** onto the main stack.
559
560**K**
561
562:   Pushes the current value of **scale** onto the main stack.
563
564**T**
565
566:   Pushes the maximum allowable value of **ibase** onto the main stack.
567
568    This is a **non-portable extension**.
569
570**U**
571
572:   Pushes the maximum allowable value of **obase** onto the main stack.
573
574    This is a **non-portable extension**.
575
576**V**
577
578:   Pushes the maximum allowable value of **scale** onto the main stack.
579
580    This is a **non-portable extension**.
581
582## Strings
583
584The following commands control strings.
585
586dc(1) can work with both numbers and strings, and registers (see the
587**REGISTERS** section) can hold both strings and numbers. dc(1) always knows
588whether the contents of a register are a string or a number.
589
590While arithmetic operations have to have numbers, and will print an error if
591given a string, other commands accept strings.
592
593Strings can also be executed as macros. For example, if the string **[1pR]** is
594executed as a macro, then the code **1pR** is executed, meaning that the **1**
595will be printed with a newline after and then popped from the stack.
596
597**\[**_characters_**\]**
598
599:   Makes a string containing *characters* and pushes it onto the stack.
600
601    If there are brackets (**\[** and **\]**) in the string, then they must be
602    balanced. Unbalanced brackets can be escaped using a backslash (**\\**)
603    character.
604
605    If there is a backslash character in the string, the character after it
606    (even another backslash) is put into the string verbatim, but the (first)
607    backslash is not.
608
609**a**
610
611:   The value on top of the stack is popped.
612
613    If it is a number, it is truncated and its absolute value is taken. The
614    result mod **256** is calculated. If that result is **0**, push an empty
615    string; otherwise, push a one-character string where the character is the
616    result of the mod interpreted as an ASCII character.
617
618    If it is a string, then a new string is made. If the original string is
619    empty, the new string is empty. If it is not, then the first character of
620    the original string is used to create the new string as a one-character
621    string. The new string is then pushed onto the stack.
622
623    This is a **non-portable extension**.
624
625**x**
626
627:   Pops a value off of the top of the stack.
628
629    If it is a number, it is pushed back onto the stack.
630
631    If it is a string, it is executed as a macro.
632
633    This behavior is the norm whenever a macro is executed, whether by this
634    command or by the conditional execution commands below.
635
636**\>**_r_
637
638:   Pops two values off of the stack that must be numbers and compares them. If
639    the first value is greater than the second, then the contents of register
640    *r* are executed.
641
642    For example, **0 1>a** will execute the contents of register **a**, and
643    **1 0>a** will not.
644
645    If either or both of the values are not numbers, dc(1) will raise an error
646    and reset (see the **RESET** section).
647
648**>**_r_**e**_s_
649
650:   Like the above, but will execute register *s* if the comparison fails.
651
652    If either or both of the values are not numbers, dc(1) will raise an error
653    and reset (see the **RESET** section).
654
655    This is a **non-portable extension**.
656
657**!\>**_r_
658
659:   Pops two values off of the stack that must be numbers and compares them. If
660    the first value is not greater than the second (less than or equal to), then
661    the contents of register *r* are executed.
662
663    If either or both of the values are not numbers, dc(1) will raise an error
664    and reset (see the **RESET** section).
665
666**!\>**_r_**e**_s_
667
668:   Like the above, but will execute register *s* if the comparison fails.
669
670    If either or both of the values are not numbers, dc(1) will raise an error
671    and reset (see the **RESET** section).
672
673    This is a **non-portable extension**.
674
675**\<**_r_
676
677:   Pops two values off of the stack that must be numbers and compares them. If
678    the first value is less than the second, then the contents of register *r*
679    are executed.
680
681    If either or both of the values are not numbers, dc(1) will raise an error
682    and reset (see the **RESET** section).
683
684**\<**_r_**e**_s_
685
686:   Like the above, but will execute register *s* if the comparison fails.
687
688    If either or both of the values are not numbers, dc(1) will raise an error
689    and reset (see the **RESET** section).
690
691    This is a **non-portable extension**.
692
693**!\<**_r_
694
695:   Pops two values off of the stack that must be numbers and compares them. If
696    the first value is not less than the second (greater than or equal to), then
697    the contents of register *r* are executed.
698
699    If either or both of the values are not numbers, dc(1) will raise an error
700    and reset (see the **RESET** section).
701
702**!\<**_r_**e**_s_
703
704:   Like the above, but will execute register *s* if the comparison fails.
705
706    If either or both of the values are not numbers, dc(1) will raise an error
707    and reset (see the **RESET** section).
708
709    This is a **non-portable extension**.
710
711**=**_r_
712
713:   Pops two values off of the stack that must be numbers and compares them. If
714    the first value is equal to the second, then the contents of register *r*
715    are executed.
716
717    If either or both of the values are not numbers, dc(1) will raise an error
718    and reset (see the **RESET** section).
719
720**=**_r_**e**_s_
721
722:   Like the above, but will execute register *s* if the comparison fails.
723
724    If either or both of the values are not numbers, dc(1) will raise an error
725    and reset (see the **RESET** section).
726
727    This is a **non-portable extension**.
728
729**!=**_r_
730
731:   Pops two values off of the stack that must be numbers and compares them. If
732    the first value is not equal to the second, then the contents of register
733    *r* are executed.
734
735    If either or both of the values are not numbers, dc(1) will raise an error
736    and reset (see the **RESET** section).
737
738**!=**_r_**e**_s_
739
740:   Like the above, but will execute register *s* if the comparison fails.
741
742    If either or both of the values are not numbers, dc(1) will raise an error
743    and reset (see the **RESET** section).
744
745    This is a **non-portable extension**.
746
747**?**
748
749:   Reads a line from the **stdin** and executes it. This is to allow macros to
750    request input from users.
751
752**q**
753
754:   During execution of a macro, this exits the execution of that macro and the
755    execution of the macro that executed it. If there are no macros, or only one
756    macro executing, dc(1) exits.
757
758**Q**
759
760:   Pops a value from the stack which must be non-negative and is used the
761    number of macro executions to pop off of the execution stack. If the number
762    of levels to pop is greater than the number of executing macros, dc(1)
763    exits.
764
765**,**
766
767:   Pushes the depth of the execution stack onto the stack. The execution stack
768    is the stack of string executions. The number that is pushed onto the stack
769    is exactly as many as is needed to make dc(1) exit with the **Q** command,
770    so the sequence **,Q** will make dc(1) exit.
771
772## Status
773
774These commands query status of the stack or its top value.
775
776**Z**
777
778:   Pops a value off of the stack.
779
780    If it is a number, calculates the number of significant decimal digits it
781    has and pushes the result. It will push **1** if the argument is **0** with
782    no decimal places.
783
784    If it is a string, pushes the number of characters the string has.
785
786**X**
787
788:   Pops a value off of the stack.
789
790    If it is a number, pushes the *scale* of the value onto the stack.
791
792    If it is a string, pushes **0**.
793
794**z**
795
796:   Pushes the current depth of the stack (before execution of this command)
797    onto the stack.
798
799**y**_r_
800
801:   Pushes the current stack depth of the register *r* onto the main stack.
802
803    Because each register has a depth of **1** (with the value **0** in the top
804    item) when dc(1) starts, dc(1) requires that each register's stack must
805    always have at least one item; dc(1) will give an error and reset otherwise
806    (see the **RESET** section). This means that this command will never push
807    **0**.
808
809    This is a **non-portable extension**.
810
811## Arrays
812
813These commands manipulate arrays.
814
815**:**_r_
816
817:   Pops the top two values off of the stack. The second value will be stored in
818    the array *r* (see the **REGISTERS** section), indexed by the first value.
819
820**;**_r_
821
822:   Pops the value on top of the stack and uses it as an index into the array
823    *r*. The selected value is then pushed onto the stack.
824
825**Y**_r_
826
827:   Pushes the length of the array *r* onto the stack.
828
829    This is a **non-portable extension**.
830
831## Global Settings
832
833These commands retrieve global settings. These are the only commands that
834require multiple specific characters, and all of them begin with the letter
835**g**. Only the characters below are allowed after the character **g**; any
836other character produces a parse error (see the **ERRORS** section).
837
838**gl**
839
840:   Pushes the line length set by **DC_LINE_LENGTH** (see the **ENVIRONMENT
841    VARIABLES** section) onto the stack.
842
843**gz**
844
845:   Pushes **0** onto the stack if the leading zero setting has not been enabled
846    with the **-z** or **-\-leading-zeroes** options (see the **OPTIONS**
847    section), non-zero otherwise.
848
849# REGISTERS
850
851Registers are names that can store strings, numbers, and arrays. (Number/string
852registers do not interfere with array registers.)
853
854Each register is also its own stack, so the current register value is the top of
855the stack for the register. All registers, when first referenced, have one value
856(**0**) in their stack, and it is a runtime error to attempt to pop that item
857off of the register stack.
858
859In non-extended register mode, a register name is just the single character that
860follows any command that needs a register name. The only exceptions are: a
861newline (**'\\n'**) and a left bracket (**'['**); it is a parse error for a
862newline or a left bracket to be used as a register name.
863
864## Extended Register Mode
865
866Unlike most other dc(1) implentations, this dc(1) provides nearly unlimited
867amounts of registers, if extended register mode is enabled.
868
869If extended register mode is enabled (**-x** or **-\-extended-register**
870command-line arguments are given), then normal single character registers are
871used *unless* the character immediately following a command that needs a
872register name is a space (according to **isspace()**) and not a newline
873(**'\\n'**).
874
875In that case, the register name is found according to the regex
876**\[a-z\]\[a-z0-9\_\]\*** (like bc(1) identifiers), and it is a parse error if
877the next non-space characters do not match that regex.
878
879# RESET
880
881When dc(1) encounters an error or a signal that it has a non-default handler
882for, it resets. This means that several things happen.
883
884First, any macros that are executing are stopped and popped off the stack.
885The behavior is not unlike that of exceptions in programming languages. Then
886the execution point is set so that any code waiting to execute (after all
887macros returned) is skipped.
888
889Thus, when dc(1) resets, it skips any remaining code waiting to be executed.
890Then, if it is interactive mode, and the error was not a fatal error (see the
891**EXIT STATUS** section), it asks for more input; otherwise, it exits with the
892appropriate return code.
893
894# PERFORMANCE
895
896Most dc(1) implementations use **char** types to calculate the value of **1**
897decimal digit at a time, but that can be slow. This dc(1) does something
898different.
899
900It uses large integers to calculate more than **1** decimal digit at a time. If
901built in a environment where **DC_LONG_BIT** (see the **LIMITS** section) is
902**64**, then each integer has **9** decimal digits. If built in an environment
903where **DC_LONG_BIT** is **32** then each integer has **4** decimal digits. This
904value (the number of decimal digits per large integer) is called
905**DC_BASE_DIGS**.
906
907In addition, this dc(1) uses an even larger integer for overflow checking. This
908integer type depends on the value of **DC_LONG_BIT**, but is always at least
909twice as large as the integer type used to store digits.
910
911# LIMITS
912
913The following are the limits on dc(1):
914
915**DC_LONG_BIT**
916
917:   The number of bits in the **long** type in the environment where dc(1) was
918    built. This determines how many decimal digits can be stored in a single
919    large integer (see the **PERFORMANCE** section).
920
921**DC_BASE_DIGS**
922
923:   The number of decimal digits per large integer (see the **PERFORMANCE**
924    section). Depends on **DC_LONG_BIT**.
925
926**DC_BASE_POW**
927
928:   The max decimal number that each large integer can store (see
929    **DC_BASE_DIGS**) plus **1**. Depends on **DC_BASE_DIGS**.
930
931**DC_OVERFLOW_MAX**
932
933:   The max number that the overflow type (see the **PERFORMANCE** section) can
934    hold. Depends on **DC_LONG_BIT**.
935
936**DC_BASE_MAX**
937
938:   The maximum output base. Set at **DC_BASE_POW**.
939
940**DC_DIM_MAX**
941
942:   The maximum size of arrays. Set at **SIZE_MAX-1**.
943
944**DC_SCALE_MAX**
945
946:   The maximum **scale**. Set at **DC_OVERFLOW_MAX-1**.
947
948**DC_STRING_MAX**
949
950:   The maximum length of strings. Set at **DC_OVERFLOW_MAX-1**.
951
952**DC_NAME_MAX**
953
954:   The maximum length of identifiers. Set at **DC_OVERFLOW_MAX-1**.
955
956**DC_NUM_MAX**
957
958:   The maximum length of a number (in decimal digits), which includes digits
959    after the decimal point. Set at **DC_OVERFLOW_MAX-1**.
960
961Exponent
962
963:   The maximum allowable exponent (positive or negative). Set at
964    **DC_OVERFLOW_MAX**.
965
966Number of vars
967
968:   The maximum number of vars/arrays. Set at **SIZE_MAX-1**.
969
970These limits are meant to be effectively non-existent; the limits are so large
971(at least on 64-bit machines) that there should not be any point at which they
972become a problem. In fact, memory should be exhausted before these limits should
973be hit.
974
975# ENVIRONMENT VARIABLES
976
977dc(1) recognizes the following environment variables:
978
979**DC_ENV_ARGS**
980
981:   This is another way to give command-line arguments to dc(1). They should be
982    in the same format as all other command-line arguments. These are always
983    processed first, so any files given in **DC_ENV_ARGS** will be processed
984    before arguments and files given on the command-line. This gives the user
985    the ability to set up "standard" options and files to be used at every
986    invocation. The most useful thing for such files to contain would be useful
987    functions that the user might want every time dc(1) runs. Another use would
988    be to use the **-e** option to set **scale** to a value other than **0**.
989
990    The code that parses **DC_ENV_ARGS** will correctly handle quoted arguments,
991    but it does not understand escape sequences. For example, the string
992    **"/home/gavin/some dc file.dc"** will be correctly parsed, but the string
993    **"/home/gavin/some \"dc\" file.dc"** will include the backslashes.
994
995    The quote parsing will handle either kind of quotes, **'** or **"**. Thus,
996    if you have a file with any number of single quotes in the name, you can use
997    double quotes as the outside quotes, as in **"some 'dc' file.dc"**, and vice
998    versa if you have a file with double quotes. However, handling a file with
999    both kinds of quotes in **DC_ENV_ARGS** is not supported due to the
1000    complexity of the parsing, though such files are still supported on the
1001    command-line where the parsing is done by the shell.
1002
1003**DC_LINE_LENGTH**
1004
1005:   If this environment variable exists and contains an integer that is greater
1006    than **1** and is less than **UINT16_MAX** (**2\^16-1**), dc(1) will output
1007    lines to that length, including the backslash newline combo. The default
1008    line length is **70**.
1009
1010    The special value of **0** will disable line length checking and print
1011    numbers without regard to line length and without backslashes and newlines.
1012
1013**DC_SIGINT_RESET**
1014
1015:   If dc(1) is not in interactive mode (see the **INTERACTIVE MODE** section),
1016    then this environment variable has no effect because dc(1) exits on
1017    **SIGINT** when not in interactive mode.
1018
1019    However, when dc(1) is in interactive mode, then if this environment
1020    variable exists and contains an integer, a non-zero value makes dc(1) reset
1021    on **SIGINT**, rather than exit, and zero makes dc(1) exit. If this
1022    environment variable exists and is *not* an integer, then dc(1) will exit on
1023    **SIGINT**.
1024
1025    This environment variable overrides the default, which can be queried with
1026    the **-h** or **-\-help** options.
1027
1028**DC_TTY_MODE**
1029
1030:   If TTY mode is *not* available (see the **TTY MODE** section), then this
1031    environment variable has no effect.
1032
1033    However, when TTY mode is available, then if this environment variable
1034    exists and contains an integer, then a non-zero value makes dc(1) use TTY
1035    mode, and zero makes dc(1) not use TTY mode.
1036
1037    This environment variable overrides the default, which can be queried with
1038    the **-h** or **-\-help** options.
1039
1040**DC_PROMPT**
1041
1042:   If TTY mode is *not* available (see the **TTY MODE** section), then this
1043    environment variable has no effect.
1044
1045    However, when TTY mode is available, then if this environment variable
1046    exists and contains an integer, a non-zero value makes dc(1) use a prompt,
1047    and zero or a non-integer makes dc(1) not use a prompt. If this environment
1048    variable does not exist and **DC_TTY_MODE** does, then the value of the
1049    **DC_TTY_MODE** environment variable is used.
1050
1051    This environment variable and the **DC_TTY_MODE** environment variable
1052    override the default, which can be queried with the **-h** or **-\-help**
1053    options.
1054
1055**DC_EXPR_EXIT**
1056
1057:   If any expressions or expression files are given on the command-line with
1058    **-e**, **-\-expression**, **-f**, or **-\-file**, then if this environment
1059    variable exists and contains an integer, a non-zero value makes dc(1) exit
1060    after executing the expressions and expression files, and a zero value makes
1061    dc(1) not exit.
1062
1063    This environment variable overrides the default, which can be queried with
1064    the **-h** or **-\-help** options.
1065
1066# EXIT STATUS
1067
1068dc(1) returns the following exit statuses:
1069
1070**0**
1071
1072:   No error.
1073
1074**1**
1075
1076:   A math error occurred. This follows standard practice of using **1** for
1077    expected errors, since math errors will happen in the process of normal
1078    execution.
1079
1080    Math errors include divide by **0**, taking the square root of a negative
1081    number, attempting to convert a negative number to a hardware integer,
1082    overflow when converting a number to a hardware integer, overflow when
1083    calculating the size of a number, and attempting to use a non-integer where
1084    an integer is required.
1085
1086    Converting to a hardware integer happens for the second operand of the power
1087    (**\^**) operator.
1088
1089**2**
1090
1091:   A parse error occurred.
1092
1093    Parse errors include unexpected **EOF**, using an invalid character, failing
1094    to find the end of a string or comment, and using a token where it is
1095    invalid.
1096
1097**3**
1098
1099:   A runtime error occurred.
1100
1101    Runtime errors include assigning an invalid number to any global (**ibase**,
1102    **obase**, or **scale**), giving a bad expression to a **read()** call,
1103    calling **read()** inside of a **read()** call, type errors (including
1104    attempting to execute a number), and attempting an operation when the stack
1105    has too few elements.
1106
1107**4**
1108
1109:   A fatal error occurred.
1110
1111    Fatal errors include memory allocation errors, I/O errors, failing to open
1112    files, attempting to use files that do not have only ASCII characters (dc(1)
1113    only accepts ASCII characters), attempting to open a directory as a file,
1114    and giving invalid command-line options.
1115
1116The exit status **4** is special; when a fatal error occurs, dc(1) always exits
1117and returns **4**, no matter what mode dc(1) is in.
1118
1119The other statuses will only be returned when dc(1) is not in interactive mode
1120(see the **INTERACTIVE MODE** section), since dc(1) resets its state (see the
1121**RESET** section) and accepts more input when one of those errors occurs in
1122interactive mode. This is also the case when interactive mode is forced by the
1123**-i** flag or **-\-interactive** option.
1124
1125These exit statuses allow dc(1) to be used in shell scripting with error
1126checking, and its normal behavior can be forced by using the **-i** flag or
1127**-\-interactive** option.
1128
1129# INTERACTIVE MODE
1130
1131Like bc(1), dc(1) has an interactive mode and a non-interactive mode.
1132Interactive mode is turned on automatically when both **stdin** and **stdout**
1133are hooked to a terminal, but the **-i** flag and **-\-interactive** option can
1134turn it on in other situations.
1135
1136In interactive mode, dc(1) attempts to recover from errors (see the **RESET**
1137section), and in normal execution, flushes **stdout** as soon as execution is
1138done for the current input. dc(1) may also reset on **SIGINT** instead of exit,
1139depending on the contents of, or default for, the **DC_SIGINT_RESET**
1140environment variable (see the **ENVIRONMENT VARIABLES** section).
1141
1142# TTY MODE
1143
1144If **stdin**, **stdout**, and **stderr** are all connected to a TTY, then "TTY
1145mode" is considered to be available, and thus, dc(1) can turn on TTY mode,
1146subject to some settings.
1147
1148If there is the environment variable **DC_TTY_MODE** in the environment (see the
1149**ENVIRONMENT VARIABLES** section), then if that environment variable contains a
1150non-zero integer, dc(1) will turn on TTY mode when **stdin**, **stdout**, and
1151**stderr** are all connected to a TTY. If the **DC_TTY_MODE** environment
1152variable exists but is *not* a non-zero integer, then dc(1) will not turn TTY
1153mode on.
1154
1155If the environment variable **DC_TTY_MODE** does *not* exist, the default
1156setting is used. The default setting can be queried with the **-h** or
1157**-\-help** options.
1158
1159TTY mode is different from interactive mode because interactive mode is required
1160in the bc(1) specification at
1161https://pubs.opengroup.org/onlinepubs/9699919799/utilities/bc.html , and
1162interactive mode requires only **stdin** and **stdout** to be connected to a
1163terminal.
1164
1165## Command-Line History
1166
1167Command-line history is only enabled if TTY mode is, i.e., that **stdin**,
1168**stdout**, and **stderr** are connected to a TTY and the **DC_TTY_MODE**
1169environment variable (see the **ENVIRONMENT VARIABLES** section) and its default
1170do not disable TTY mode. See the **COMMAND LINE HISTORY** section for more
1171information.
1172
1173## Prompt
1174
1175If TTY mode is available, then a prompt can be enabled. Like TTY mode itself, it
1176can be turned on or off with an environment variable: **DC_PROMPT** (see the
1177**ENVIRONMENT VARIABLES** section).
1178
1179If the environment variable **DC_PROMPT** exists and is a non-zero integer, then
1180the prompt is turned on when **stdin**, **stdout**, and **stderr** are connected
1181to a TTY and the **-P** and **-\-no-prompt** options were not used. The read
1182prompt will be turned on under the same conditions, except that the **-R** and
1183**-\-no-read-prompt** options must also not be used.
1184
1185However, if **DC_PROMPT** does not exist, the prompt can be enabled or disabled
1186with the **DC_TTY_MODE** environment variable, the **-P** and **-\-no-prompt**
1187options, and the **-R** and **-\-no-read-prompt** options. See the **ENVIRONMENT
1188VARIABLES** and **OPTIONS** sections for more details.
1189
1190# SIGNAL HANDLING
1191
1192Sending a **SIGINT** will cause dc(1) to do one of two things.
1193
1194If dc(1) is not in interactive mode (see the **INTERACTIVE MODE** section), or
1195the **DC_SIGINT_RESET** environment variable (see the **ENVIRONMENT VARIABLES**
1196section), or its default, is either not an integer or it is zero, dc(1) will
1197exit.
1198
1199However, if dc(1) is in interactive mode, and the **DC_SIGINT_RESET** or its
1200default is an integer and non-zero, then dc(1) will stop executing the current
1201input and reset (see the **RESET** section) upon receiving a **SIGINT**.
1202
1203Note that "current input" can mean one of two things. If dc(1) is processing
1204input from **stdin** in interactive mode, it will ask for more input. If dc(1)
1205is processing input from a file in interactive mode, it will stop processing the
1206file and start processing the next file, if one exists, or ask for input from
1207**stdin** if no other file exists.
1208
1209This means that if a **SIGINT** is sent to dc(1) as it is executing a file, it
1210can seem as though dc(1) did not respond to the signal since it will immediately
1211start executing the next file. This is by design; most files that users execute
1212when interacting with dc(1) have function definitions, which are quick to parse.
1213If a file takes a long time to execute, there may be a bug in that file. The
1214rest of the files could still be executed without problem, allowing the user to
1215continue.
1216
1217**SIGTERM** and **SIGQUIT** cause dc(1) to clean up and exit, and it uses the
1218default handler for all other signals. The one exception is **SIGHUP**; in that
1219case, and only when dc(1) is in TTY mode (see the **TTY MODE** section), a
1220**SIGHUP** will cause dc(1) to clean up and exit.
1221
1222# COMMAND LINE HISTORY
1223
1224dc(1) supports interactive command-line editing.
1225
1226If dc(1) can be in TTY mode (see the **TTY MODE** section), history can be
1227enabled. This means that command-line history can only be enabled when
1228**stdin**, **stdout**, and **stderr** are all connected to a TTY.
1229
1230Like TTY mode itself, it can be turned on or off with the environment variable
1231**DC_TTY_MODE** (see the **ENVIRONMENT VARIABLES** section).
1232
1233**Note**: tabs are converted to 8 spaces.
1234
1235# SEE ALSO
1236
1237bc(1)
1238
1239# STANDARDS
1240
1241The dc(1) utility operators are compliant with the operators in the IEEE Std
12421003.1-2017 (“POSIX.1-2017”) specification at
1243https://pubs.opengroup.org/onlinepubs/9699919799/utilities/bc.html for bc(1).
1244
1245# BUGS
1246
1247None are known. Report bugs at https://git.yzena.com/gavin/bc.
1248
1249# AUTHOR
1250
1251Gavin D. Howard <gavin@yzena.com> and contributors.
1252