manuals/dc/N.1

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.TH "DC" "1" "August 2022" "Gavin D. Howard" "General Commands Manual"
.nh
.ad l
.SH Name
.PP
dc - arbitrary-precision decimal reverse-Polish notation calculator
.SH SYNOPSIS
.PP
\f[B]dc\f[R] [\f[B]-cChiPRvVx\f[R]] [\f[B]--version\f[R]]
[\f[B]--help\f[R]] [\f[B]--digit-clamp\f[R]]
[\f[B]--no-digit-clamp\f[R]] [\f[B]--interactive\f[R]]
[\f[B]--no-prompt\f[R]] [\f[B]--no-read-prompt\f[R]]
[\f[B]--extended-register\f[R]] [\f[B]-e\f[R] \f[I]expr\f[R]]
[\f[B]--expression\f[R]=\f[I]expr\f[R]\&...]
[\f[B]-f\f[R] \f[I]file\f[R]\&...]
[\f[B]--file\f[R]=\f[I]file\f[R]\&...]
[\f[I]file\f[R]\&...]
[\f[B]-I\f[R] \f[I]ibase\f[R]] [\f[B]--ibase\f[R]=\f[I]ibase\f[R]]
[\f[B]-O\f[R] \f[I]obase\f[R]] [\f[B]--obase\f[R]=\f[I]obase\f[R]]
[\f[B]-S\f[R] \f[I]scale\f[R]] [\f[B]--scale\f[R]=\f[I]scale\f[R]]
[\f[B]-E\f[R] \f[I]seed\f[R]] [\f[B]--seed\f[R]=\f[I]seed\f[R]]
.SH DESCRIPTION
.PP
dc(1) is an arbitrary-precision calculator.
It uses a stack (reverse Polish notation) to store numbers and results
of computations.
Arithmetic operations pop arguments off of the stack and push the
results.
.PP
If no files are given on the command-line, then dc(1) reads from
\f[B]stdin\f[R] (see the \f[B]STDIN\f[R] section).
Otherwise, those files are processed, and dc(1) will then exit.
.PP
If a user wants to set up a standard environment, they can use
\f[B]DC_ENV_ARGS\f[R] (see the \f[B]ENVIRONMENT VARIABLES\f[R] section).
For example, if a user wants the \f[B]scale\f[R] always set to
\f[B]10\f[R], they can set \f[B]DC_ENV_ARGS\f[R] to \f[B]-e 10k\f[R],
and this dc(1) will always start with a \f[B]scale\f[R] of \f[B]10\f[R].
.SH OPTIONS
.PP
The following are the options that dc(1) accepts.
.TP
\f[B]-C\f[R], \f[B]--no-digit-clamp\f[R]
Disables clamping of digits greater than or equal to the current
\f[B]ibase\f[R] when parsing numbers.
.RS
.PP
This means that the value added to a number from a digit is always that
digit\[cq]s value multiplied by the value of ibase raised to the power
of the digit\[cq]s position, which starts from 0 at the least
significant digit.
.PP
If this and/or the \f[B]-c\f[R] or \f[B]--digit-clamp\f[R] options are
given multiple times, the last one given is used.
.PP
This option overrides the \f[B]DC_DIGIT_CLAMP\f[R] environment variable
(see the \f[B]ENVIRONMENT VARIABLES\f[R] section) and the default, which
can be queried with the \f[B]-h\f[R] or \f[B]--help\f[R] options.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]-c\f[R], \f[B]--digit-clamp\f[R]
Enables clamping of digits greater than or equal to the current
\f[B]ibase\f[R] when parsing numbers.
.RS
.PP
This means that digits that the value added to a number from a digit
that is greater than or equal to the ibase is the value of ibase minus 1
all multiplied by the value of ibase raised to the power of the
digit\[cq]s position, which starts from 0 at the least significant
digit.
.PP
If this and/or the \f[B]-C\f[R] or \f[B]--no-digit-clamp\f[R] options
are given multiple times, the last one given is used.
.PP
This option overrides the \f[B]DC_DIGIT_CLAMP\f[R] environment variable
(see the \f[B]ENVIRONMENT VARIABLES\f[R] section) and the default, which
can be queried with the \f[B]-h\f[R] or \f[B]--help\f[R] options.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]-E\f[R] \f[I]seed\f[R], \f[B]--seed\f[R]=\f[I]seed\f[R]
Sets the builtin variable \f[B]seed\f[R] to the value \f[I]seed\f[R]
assuming that \f[I]seed\f[R] is in base 10.
It is a fatal error if \f[I]seed\f[R] is not a valid number.
.RS
.PP
If multiple instances of this option are given, the last is used.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]-e\f[R] \f[I]expr\f[R], \f[B]--expression\f[R]=\f[I]expr\f[R]
Evaluates \f[I]expr\f[R].
If multiple expressions are given, they are evaluated in order.
If files are given as well (see below), the expressions and files are
evaluated in the order given.
This means that if a file is given before an expression, the file is
read in and evaluated first.
.RS
.PP
If this option is given on the command-line (i.e., not in
\f[B]DC_ENV_ARGS\f[R], see the \f[B]ENVIRONMENT VARIABLES\f[R] section),
then after processing all expressions and files, dc(1) will exit, unless
\f[B]-\f[R] (\f[B]stdin\f[R]) was given as an argument at least once to
\f[B]-f\f[R] or \f[B]--file\f[R], whether on the command-line or in
\f[B]DC_ENV_ARGS\f[R].
However, if any other \f[B]-e\f[R], \f[B]--expression\f[R],
\f[B]-f\f[R], or \f[B]--file\f[R] arguments are given after
\f[B]-f-\f[R] or equivalent is given, dc(1) will give a fatal error and
exit.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]-f\f[R] \f[I]file\f[R], \f[B]--file\f[R]=\f[I]file\f[R]
Reads in \f[I]file\f[R] and evaluates it, line by line, as though it
were read through \f[B]stdin\f[R].
If expressions are also given (see above), the expressions are evaluated
in the order given.
.RS
.PP
If this option is given on the command-line (i.e., not in
\f[B]DC_ENV_ARGS\f[R], see the \f[B]ENVIRONMENT VARIABLES\f[R] section),
then after processing all expressions and files, dc(1) will exit, unless
\f[B]-\f[R] (\f[B]stdin\f[R]) was given as an argument at least once to
\f[B]-f\f[R] or \f[B]--file\f[R].
However, if any other \f[B]-e\f[R], \f[B]--expression\f[R],
\f[B]-f\f[R], or \f[B]--file\f[R] arguments are given after
\f[B]-f-\f[R] or equivalent is given, dc(1) will give a fatal error and
exit.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]-h\f[R], \f[B]--help\f[R]
Prints a usage message and exits.
.TP
\f[B]-I\f[R] \f[I]ibase\f[R], \f[B]--ibase\f[R]=\f[I]ibase\f[R]
Sets the builtin variable \f[B]ibase\f[R] to the value \f[I]ibase\f[R]
assuming that \f[I]ibase\f[R] is in base 10.
It is a fatal error if \f[I]ibase\f[R] is not a valid number.
.RS
.PP
If multiple instances of this option are given, the last is used.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]-i\f[R], \f[B]--interactive\f[R]
Forces interactive mode.
(See the \f[B]INTERACTIVE MODE\f[R] section.)
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]-L\f[R], \f[B]--no-line-length\f[R]
Disables line length checking and prints numbers without backslashes and
newlines.
In other words, this option sets \f[B]BC_LINE_LENGTH\f[R] to \f[B]0\f[R]
(see the \f[B]ENVIRONMENT VARIABLES\f[R] section).
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]-O\f[R] \f[I]obase\f[R], \f[B]--obase\f[R]=\f[I]obase\f[R]
Sets the builtin variable \f[B]obase\f[R] to the value \f[I]obase\f[R]
assuming that \f[I]obase\f[R] is in base 10.
It is a fatal error if \f[I]obase\f[R] is not a valid number.
.RS
.PP
If multiple instances of this option are given, the last is used.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]-P\f[R], \f[B]--no-prompt\f[R]
Disables the prompt in TTY mode.
(The prompt is only enabled in TTY mode.
See the \f[B]TTY MODE\f[R] section.)
This is mostly for those users that do not want a prompt or are not used
to having them in dc(1).
Most of those users would want to put this option in
\f[B]DC_ENV_ARGS\f[R].
.RS
.PP
These options override the \f[B]DC_PROMPT\f[R] and \f[B]DC_TTY_MODE\f[R]
environment variables (see the \f[B]ENVIRONMENT VARIABLES\f[R] section).
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]-R\f[R], \f[B]--no-read-prompt\f[R]
Disables the read prompt in TTY mode.
(The read prompt is only enabled in TTY mode.
See the \f[B]TTY MODE\f[R] section.)
This is mostly for those users that do not want a read prompt or are not
used to having them in dc(1).
Most of those users would want to put this option in
\f[B]BC_ENV_ARGS\f[R] (see the \f[B]ENVIRONMENT VARIABLES\f[R] section).
This option is also useful in hash bang lines of dc(1) scripts that
prompt for user input.
.RS
.PP
This option does not disable the regular prompt because the read prompt
is only used when the \f[B]?\f[R] command is used.
.PP
These options \f[I]do\f[R] override the \f[B]DC_PROMPT\f[R] and
\f[B]DC_TTY_MODE\f[R] environment variables (see the \f[B]ENVIRONMENT
VARIABLES\f[R] section), but only for the read prompt.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]-S\f[R] \f[I]scale\f[R], \f[B]--scale\f[R]=\f[I]scale\f[R]
Sets the builtin variable \f[B]scale\f[R] to the value \f[I]scale\f[R]
assuming that \f[I]scale\f[R] is in base 10.
It is a fatal error if \f[I]scale\f[R] is not a valid number.
.RS
.PP
If multiple instances of this option are given, the last is used.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]-v\f[R], \f[B]-V\f[R], \f[B]--version\f[R]
Print the version information (copyright header) and exits.
.TP
\f[B]-x\f[R] \f[B]--extended-register\f[R]
Enables extended register mode.
See the \f[I]Extended Register Mode\f[R] subsection of the
\f[B]REGISTERS\f[R] section for more information.
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]-z\f[R], \f[B]--leading-zeroes\f[R]
Makes dc(1) print all numbers greater than \f[B]-1\f[R] and less than
\f[B]1\f[R], and not equal to \f[B]0\f[R], with a leading zero.
.RS
.PP
This can be set for individual numbers with the \f[B]plz(x)\f[R],
plznl(x)**, \f[B]pnlz(x)\f[R], and \f[B]pnlznl(x)\f[R] functions in the
extended math library (see the \f[B]LIBRARY\f[R] section).
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.PP
All long options are \f[B]non-portable extensions\f[R].
.SH STDIN
.PP
If no files are given on the command-line and no files or expressions
are given by the \f[B]-f\f[R], \f[B]--file\f[R], \f[B]-e\f[R], or
\f[B]--expression\f[R] options, then dc(1) reads from \f[B]stdin\f[R].
.PP
However, there is a caveat to this.
.PP
First, \f[B]stdin\f[R] is evaluated a line at a time.
The only exception to this is if a string has been finished, but not
ended.
This means that, except for escaped brackets, all brackets must be
balanced before dc(1) parses and executes.
.SH STDOUT
.PP
Any non-error output is written to \f[B]stdout\f[R].
In addition, if history (see the \f[B]HISTORY\f[R] section) and the
prompt (see the \f[B]TTY MODE\f[R] section) are enabled, both are output
to \f[B]stdout\f[R].
.PP
\f[B]Note\f[R]: Unlike other dc(1) implementations, this dc(1) will
issue a fatal error (see the \f[B]EXIT STATUS\f[R] section) if it cannot
write to \f[B]stdout\f[R], so if \f[B]stdout\f[R] is closed, as in
\f[B]dc >&-\f[R], it will quit with an error.
This is done so that dc(1) can report problems when \f[B]stdout\f[R] is
redirected to a file.
.PP
If there are scripts that depend on the behavior of other dc(1)
implementations, it is recommended that those scripts be changed to
redirect \f[B]stdout\f[R] to \f[B]/dev/null\f[R].
.SH STDERR
.PP
Any error output is written to \f[B]stderr\f[R].
.PP
\f[B]Note\f[R]: Unlike other dc(1) implementations, this dc(1) will
issue a fatal error (see the \f[B]EXIT STATUS\f[R] section) if it cannot
write to \f[B]stderr\f[R], so if \f[B]stderr\f[R] is closed, as in
\f[B]dc 2>&-\f[R], it will quit with an error.
This is done so that dc(1) can exit with an error code when
\f[B]stderr\f[R] is redirected to a file.
.PP
If there are scripts that depend on the behavior of other dc(1)
implementations, it is recommended that those scripts be changed to
redirect \f[B]stderr\f[R] to \f[B]/dev/null\f[R].
.SH SYNTAX
.PP
Each item in the input source code, either a number (see the
\f[B]NUMBERS\f[R] section) or a command (see the \f[B]COMMANDS\f[R]
section), is processed and executed, in order.
Input is processed immediately when entered.
.PP
\f[B]ibase\f[R] is a register (see the \f[B]REGISTERS\f[R] section) that
determines how to interpret constant numbers.
It is the \[lq]input\[rq] base, or the number base used for interpreting
input numbers.
\f[B]ibase\f[R] is initially \f[B]10\f[R].
The max allowable value for \f[B]ibase\f[R] is \f[B]16\f[R].
The min allowable value for \f[B]ibase\f[R] is \f[B]2\f[R].
The max allowable value for \f[B]ibase\f[R] can be queried in dc(1)
programs with the \f[B]T\f[R] command.
.PP
\f[B]obase\f[R] is a register (see the \f[B]REGISTERS\f[R] section) that
determines how to output results.
It is the \[lq]output\[rq] base, or the number base used for outputting
numbers.
\f[B]obase\f[R] is initially \f[B]10\f[R].
The max allowable value for \f[B]obase\f[R] is \f[B]DC_BASE_MAX\f[R] and
can be queried with the \f[B]U\f[R] command.
The min allowable value for \f[B]obase\f[R] is \f[B]0\f[R].
If \f[B]obase\f[R] is \f[B]0\f[R], values are output in scientific
notation, and if \f[B]obase\f[R] is \f[B]1\f[R], values are output in
engineering notation.
Otherwise, values are output in the specified base.
.PP
Outputting in scientific and engineering notations are \f[B]non-portable
extensions\f[R].
.PP
The \f[I]scale\f[R] of an expression is the number of digits in the
result of the expression right of the decimal point, and \f[B]scale\f[R]
is a register (see the \f[B]REGISTERS\f[R] section) that sets the
precision of any operations (with exceptions).
\f[B]scale\f[R] is initially \f[B]0\f[R].
\f[B]scale\f[R] cannot be negative.
The max allowable value for \f[B]scale\f[R] can be queried in dc(1)
programs with the \f[B]V\f[R] command.
.PP
\f[B]seed\f[R] is a register containing the current seed for the
pseudo-random number generator.
If the current value of \f[B]seed\f[R] is queried and stored, then if it
is assigned to \f[B]seed\f[R] later, the pseudo-random number generator
is guaranteed to produce the same sequence of pseudo-random numbers that
were generated after the value of \f[B]seed\f[R] was first queried.
.PP
Multiple values assigned to \f[B]seed\f[R] can produce the same sequence
of pseudo-random numbers.
Likewise, when a value is assigned to \f[B]seed\f[R], it is not
guaranteed that querying \f[B]seed\f[R] immediately after will return
the same value.
In addition, the value of \f[B]seed\f[R] will change after any call to
the \f[B]\[cq]\f[R] command or the \f[B]\[lq]\f[R] command that does not
get receive a value of \f[B]0\f[R] or \f[B]1\f[R].
The maximum integer returned by the \f[B]\[cq]\f[R] command can be
queried with the \f[B]W\f[R] command.
.PP
\f[B]Note\f[R]: The values returned by the pseudo-random number
generator with the \f[B]\[cq]\f[R] and \f[B]\[lq]\f[R] commands are
guaranteed to \f[B]NOT\f[R] be cryptographically secure.
This is a consequence of using a seeded pseudo-random number generator.
However, they \f[I]are\f[R] guaranteed to be reproducible with identical
\f[B]seed\f[R] values.
This means that the pseudo-random values from dc(1) should only be used
where a reproducible stream of pseudo-random numbers is
\f[I]ESSENTIAL\f[R].
In any other case, use a non-seeded pseudo-random number generator.
.PP
The pseudo-random number generator, \f[B]seed\f[R], and all associated
operations are \f[B]non-portable extensions\f[R].
.SS Comments
.PP
Comments go from \f[B]#\f[R] until, and not including, the next newline.
This is a \f[B]non-portable extension\f[R].
.SH NUMBERS
.PP
Numbers are strings made up of digits, uppercase letters up to
\f[B]F\f[R], and at most \f[B]1\f[R] period for a radix.
Numbers can have up to \f[B]DC_NUM_MAX\f[R] digits.
Uppercase letters are equal to \f[B]9\f[R] plus their position in the
alphabet (i.e., \f[B]A\f[R] equals \f[B]10\f[R], or \f[B]9+1\f[R]).
.PP
If a digit or letter makes no sense with the current value of
\f[B]ibase\f[R] (i.e., they are greater than or equal to the current
value of \f[B]ibase\f[R]), then the behavior depends on the existence of
the \f[B]-c\f[R]/\f[B]--digit-clamp\f[R] or
\f[B]-C\f[R]/\f[B]--no-digit-clamp\f[R] options (see the
\f[B]OPTIONS\f[R] section), the existence and setting of the
\f[B]DC_DIGIT_CLAMP\f[R] environment variable (see the \f[B]ENVIRONMENT
VARIABLES\f[R] section), or the default, which can be queried with the
\f[B]-h\f[R]/\f[B]--help\f[R] option.
.PP
If clamping is off, then digits or letters that are greater than or
equal to the current value of \f[B]ibase\f[R] are not changed.
Instead, their given value is multiplied by the appropriate power of
\f[B]ibase\f[R] and added into the number.
This means that, with an \f[B]ibase\f[R] of \f[B]3\f[R], the number
\f[B]AB\f[R] is equal to \f[B]3\[ha]1*A+3\[ha]0*B\f[R], which is
\f[B]3\f[R] times \f[B]10\f[R] plus \f[B]11\f[R], or \f[B]41\f[R].
.PP
If clamping is on, then digits or letters that are greater than or equal
to the current value of \f[B]ibase\f[R] are set to the value of the
highest valid digit in \f[B]ibase\f[R] before being multiplied by the
appropriate power of \f[B]ibase\f[R] and added into the number.
This means that, with an \f[B]ibase\f[R] of \f[B]3\f[R], the number
\f[B]AB\f[R] is equal to \f[B]3\[ha]1*2+3\[ha]0*2\f[R], which is
\f[B]3\f[R] times \f[B]2\f[R] plus \f[B]2\f[R], or \f[B]8\f[R].
.PP
There is one exception to clamping: single-character numbers (i.e.,
\f[B]A\f[R] alone).
Such numbers are never clamped and always take the value they would have
in the highest possible \f[B]ibase\f[R].
This means that \f[B]A\f[R] alone always equals decimal \f[B]10\f[R] and
\f[B]Z\f[R] alone always equals decimal \f[B]35\f[R].
This behavior is mandated by the standard for bc(1) (see the STANDARDS
section) and is meant to provide an easy way to set the current
\f[B]ibase\f[R] (with the \f[B]i\f[R] command) regardless of the current
value of \f[B]ibase\f[R].
.PP
If clamping is on, and the clamped value of a character is needed, use a
leading zero, i.e., for \f[B]A\f[R], use \f[B]0A\f[R].
.PP
In addition, dc(1) accepts numbers in scientific notation.
These have the form \f[B]<number>e<integer>\f[R].
The exponent (the portion after the \f[B]e\f[R]) must be an integer.
An example is \f[B]1.89237e9\f[R], which is equal to
\f[B]1892370000\f[R].
Negative exponents are also allowed, so \f[B]4.2890e_3\f[R] is equal to
\f[B]0.0042890\f[R].
.PP
\f[B]WARNING\f[R]: Both the number and the exponent in scientific
notation are interpreted according to the current \f[B]ibase\f[R], but
the number is still multiplied by \f[B]10\[ha]exponent\f[R] regardless
of the current \f[B]ibase\f[R].
For example, if \f[B]ibase\f[R] is \f[B]16\f[R] and dc(1) is given the
number string \f[B]FFeA\f[R], the resulting decimal number will be
\f[B]2550000000000\f[R], and if dc(1) is given the number string
\f[B]10e_4\f[R], the resulting decimal number will be \f[B]0.0016\f[R].
.PP
Accepting input as scientific notation is a \f[B]non-portable
extension\f[R].
.SH COMMANDS
.PP
The valid commands are listed below.
.SS Printing
.PP
These commands are used for printing.
.PP
Note that both scientific notation and engineering notation are
available for printing numbers.
Scientific notation is activated by assigning \f[B]0\f[R] to
\f[B]obase\f[R] using \f[B]0o\f[R], and engineering notation is
activated by assigning \f[B]1\f[R] to \f[B]obase\f[R] using
\f[B]1o\f[R].
To deactivate them, just assign a different value to \f[B]obase\f[R].
.PP
Printing numbers in scientific notation and/or engineering notation is a
\f[B]non-portable extension\f[R].
.TP
\f[B]p\f[R]
Prints the value on top of the stack, whether number or string, and
prints a newline after.
.RS
.PP
This does not alter the stack.
.RE
.TP
\f[B]n\f[R]
Prints the value on top of the stack, whether number or string, and pops
it off of the stack.
.TP
\f[B]P\f[R]
Pops a value off the stack.
.RS
.PP
If the value is a number, it is truncated and the absolute value of the
result is printed as though \f[B]obase\f[R] is \f[B]256\f[R] and each
digit is interpreted as an 8-bit ASCII character, making it a byte
stream.
.PP
If the value is a string, it is printed without a trailing newline.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]f\f[R]
Prints the entire contents of the stack, in order from newest to oldest,
without altering anything.
.RS
.PP
Users should use this command when they get lost.
.RE
.SS Arithmetic
.PP
These are the commands used for arithmetic.
.TP
\f[B]+\f[R]
The top two values are popped off the stack, added, and the result is
pushed onto the stack.
The \f[I]scale\f[R] of the result is equal to the max \f[I]scale\f[R] of
both operands.
.TP
\f[B]-\f[R]
The top two values are popped off the stack, subtracted, and the result
is pushed onto the stack.
The \f[I]scale\f[R] of the result is equal to the max \f[I]scale\f[R] of
both operands.
.TP
\f[B]*\f[R]
The top two values are popped off the stack, multiplied, and the result
is pushed onto the stack.
If \f[B]a\f[R] is the \f[I]scale\f[R] of the first expression and
\f[B]b\f[R] is the \f[I]scale\f[R] of the second expression, the
\f[I]scale\f[R] of the result is equal to
\f[B]min(a+b,max(scale,a,b))\f[R] where \f[B]min()\f[R] and
\f[B]max()\f[R] return the obvious values.
.TP
\f[B]/\f[R]
The top two values are popped off the stack, divided, and the result is
pushed onto the stack.
The \f[I]scale\f[R] of the result is equal to \f[B]scale\f[R].
.RS
.PP
The first value popped off of the stack must be non-zero.
.RE
.TP
\f[B]%\f[R]
The top two values are popped off the stack, remaindered, and the result
is pushed onto the stack.
.RS
.PP
Remaindering is equivalent to 1) Computing \f[B]a/b\f[R] to current
\f[B]scale\f[R], and 2) Using the result of step 1 to calculate
\f[B]a-(a/b)*b\f[R] to \f[I]scale\f[R]
\f[B]max(scale+scale(b),scale(a))\f[R].
.PP
The first value popped off of the stack must be non-zero.
.RE
.TP
\f[B]\[ti]\f[R]
The top two values are popped off the stack, divided and remaindered,
and the results (divided first, remainder second) are pushed onto the
stack.
This is equivalent to \f[B]x y / x y %\f[R] except that \f[B]x\f[R] and
\f[B]y\f[R] are only evaluated once.
.RS
.PP
The first value popped off of the stack must be non-zero.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]\[ha]\f[R]
The top two values are popped off the stack, the second is raised to the
power of the first, and the result is pushed onto the stack.
The \f[I]scale\f[R] of the result is equal to \f[B]scale\f[R].
.RS
.PP
The first value popped off of the stack must be an integer, and if that
value is negative, the second value popped off of the stack must be
non-zero.
.RE
.TP
\f[B]v\f[R]
The top value is popped off the stack, its square root is computed, and
the result is pushed onto the stack.
The \f[I]scale\f[R] of the result is equal to \f[B]scale\f[R].
.RS
.PP
The value popped off of the stack must be non-negative.
.RE
.TP
\f[B]_\f[R]
If this command \f[I]immediately\f[R] precedes a number (i.e., no spaces
or other commands), then that number is input as a negative number.
.RS
.PP
Otherwise, the top value on the stack is popped and copied, and the copy
is negated and pushed onto the stack.
This behavior without a number is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]b\f[R]
The top value is popped off the stack, and if it is zero, it is pushed
back onto the stack.
Otherwise, its absolute value is pushed onto the stack.
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]|\f[R]
The top three values are popped off the stack, a modular exponentiation
is computed, and the result is pushed onto the stack.
.RS
.PP
The first value popped is used as the reduction modulus and must be an
integer and non-zero.
The second value popped is used as the exponent and must be an integer
and non-negative.
The third value popped is the base and must be an integer.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]$\f[R]
The top value is popped off the stack and copied, and the copy is
truncated and pushed onto the stack.
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]\[at]\f[R]
The top two values are popped off the stack, and the precision of the
second is set to the value of the first, whether by truncation or
extension.
.RS
.PP
The first value popped off of the stack must be an integer and
non-negative.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]H\f[R]
The top two values are popped off the stack, and the second is shifted
left (radix shifted right) to the value of the first.
.RS
.PP
The first value popped off of the stack must be an integer and
non-negative.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]h\f[R]
The top two values are popped off the stack, and the second is shifted
right (radix shifted left) to the value of the first.
.RS
.PP
The first value popped off of the stack must be an integer and
non-negative.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]G\f[R]
The top two values are popped off of the stack, they are compared, and a
\f[B]1\f[R] is pushed if they are equal, or \f[B]0\f[R] otherwise.
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]N\f[R]
The top value is popped off of the stack, and if it a \f[B]0\f[R], a
\f[B]1\f[R] is pushed; otherwise, a \f[B]0\f[R] is pushed.
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B](\f[R]
The top two values are popped off of the stack, they are compared, and a
\f[B]1\f[R] is pushed if the first is less than the second, or
\f[B]0\f[R] otherwise.
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]{\f[R]
The top two values are popped off of the stack, they are compared, and a
\f[B]1\f[R] is pushed if the first is less than or equal to the second,
or \f[B]0\f[R] otherwise.
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B])\f[R]
The top two values are popped off of the stack, they are compared, and a
\f[B]1\f[R] is pushed if the first is greater than the second, or
\f[B]0\f[R] otherwise.
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]}\f[R]
The top two values are popped off of the stack, they are compared, and a
\f[B]1\f[R] is pushed if the first is greater than or equal to the
second, or \f[B]0\f[R] otherwise.
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]M\f[R]
The top two values are popped off of the stack.
If they are both non-zero, a \f[B]1\f[R] is pushed onto the stack.
If either of them is zero, or both of them are, then a \f[B]0\f[R] is
pushed onto the stack.
.RS
.PP
This is like the \f[B]&&\f[R] operator in bc(1), and it is \f[I]not\f[R]
a short-circuit operator.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]m\f[R]
The top two values are popped off of the stack.
If at least one of them is non-zero, a \f[B]1\f[R] is pushed onto the
stack.
If both of them are zero, then a \f[B]0\f[R] is pushed onto the stack.
.RS
.PP
This is like the \f[B]||\f[R] operator in bc(1), and it is \f[I]not\f[R]
a short-circuit operator.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.SS Pseudo-Random Number Generator
.PP
dc(1) has a built-in pseudo-random number generator.
These commands query the pseudo-random number generator.
(See Parameters for more information about the \f[B]seed\f[R] value that
controls the pseudo-random number generator.)
.PP
The pseudo-random number generator is guaranteed to \f[B]NOT\f[R] be
cryptographically secure.
.TP
\f[B]\[cq]\f[R]
Generates an integer between 0 and \f[B]DC_RAND_MAX\f[R], inclusive (see
the \f[B]LIMITS\f[R] section).
.RS
.PP
The generated integer is made as unbiased as possible, subject to the
limitations of the pseudo-random number generator.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]\[lq]\f[R]
Pops a value off of the stack, which is used as an \f[B]exclusive\f[R]
upper bound on the integer that will be generated.
If the bound is negative or is a non-integer, an error is raised, and
dc(1) resets (see the \f[B]RESET\f[R] section) while \f[B]seed\f[R]
remains unchanged.
If the bound is larger than \f[B]DC_RAND_MAX\f[R], the higher bound is
honored by generating several pseudo-random integers, multiplying them
by appropriate powers of \f[B]DC_RAND_MAX+1\f[R], and adding them
together.
Thus, the size of integer that can be generated with this command is
unbounded.
Using this command will change the value of \f[B]seed\f[R], unless the
operand is \f[B]0\f[R] or \f[B]1\f[R].
In that case, \f[B]0\f[R] is pushed onto the stack, and \f[B]seed\f[R]
is \f[I]not\f[R] changed.
.RS
.PP
The generated integer is made as unbiased as possible, subject to the
limitations of the pseudo-random number generator.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.SS Stack Control
.PP
These commands control the stack.
.TP
\f[B]c\f[R]
Removes all items from (\[lq]clears\[rq]) the stack.
.TP
\f[B]d\f[R]
Copies the item on top of the stack (\[lq]duplicates\[rq]) and pushes
the copy onto the stack.
.TP
\f[B]r\f[R]
Swaps (\[lq]reverses\[rq]) the two top items on the stack.
.TP
\f[B]R\f[R]
Pops (\[lq]removes\[rq]) the top value from the stack.
.SS Register Control
.PP
These commands control registers (see the \f[B]REGISTERS\f[R] section).
.TP
\f[B]s\f[R]\f[I]r\f[R]
Pops the value off the top of the stack and stores it into register
\f[I]r\f[R].
.TP
\f[B]l\f[R]\f[I]r\f[R]
Copies the value in register \f[I]r\f[R] and pushes it onto the stack.
This does not alter the contents of \f[I]r\f[R].
.TP
\f[B]S\f[R]\f[I]r\f[R]
Pops the value off the top of the (main) stack and pushes it onto the
stack of register \f[I]r\f[R].
The previous value of the register becomes inaccessible.
.TP
\f[B]L\f[R]\f[I]r\f[R]
Pops the value off the top of the stack for register \f[I]r\f[R] and
push it onto the main stack.
The previous value in the stack for register \f[I]r\f[R], if any, is now
accessible via the \f[B]l\f[R]\f[I]r\f[R] command.
.SS Parameters
.PP
These commands control the values of \f[B]ibase\f[R], \f[B]obase\f[R],
\f[B]scale\f[R], and \f[B]seed\f[R].
Also see the \f[B]SYNTAX\f[R] section.
.TP
\f[B]i\f[R]
Pops the value off of the top of the stack and uses it to set
\f[B]ibase\f[R], which must be between \f[B]2\f[R] and \f[B]16\f[R],
inclusive.
.RS
.PP
If the value on top of the stack has any \f[I]scale\f[R], the
\f[I]scale\f[R] is ignored.
.RE
.TP
\f[B]o\f[R]
Pops the value off of the top of the stack and uses it to set
\f[B]obase\f[R], which must be between \f[B]0\f[R] and
\f[B]DC_BASE_MAX\f[R], inclusive (see the \f[B]LIMITS\f[R] section and
the \f[B]NUMBERS\f[R] section).
.RS
.PP
If the value on top of the stack has any \f[I]scale\f[R], the
\f[I]scale\f[R] is ignored.
.RE
.TP
\f[B]k\f[R]
Pops the value off of the top of the stack and uses it to set
\f[B]scale\f[R], which must be non-negative.
.RS
.PP
If the value on top of the stack has any \f[I]scale\f[R], the
\f[I]scale\f[R] is ignored.
.RE
.TP
\f[B]j\f[R]
Pops the value off of the top of the stack and uses it to set
\f[B]seed\f[R].
The meaning of \f[B]seed\f[R] is dependent on the current pseudo-random
number generator but is guaranteed to not change except for new major
versions.
.RS
.PP
The \f[I]scale\f[R] and sign of the value may be significant.
.PP
If a previously used \f[B]seed\f[R] value is used again, the
pseudo-random number generator is guaranteed to produce the same
sequence of pseudo-random numbers as it did when the \f[B]seed\f[R]
value was previously used.
.PP
The exact value assigned to \f[B]seed\f[R] is not guaranteed to be
returned if the \f[B]J\f[R] command is used.
However, if \f[B]seed\f[R] \f[I]does\f[R] return a different value, both
values, when assigned to \f[B]seed\f[R], are guaranteed to produce the
same sequence of pseudo-random numbers.
This means that certain values assigned to \f[B]seed\f[R] will not
produce unique sequences of pseudo-random numbers.
.PP
There is no limit to the length (number of significant decimal digits)
or \f[I]scale\f[R] of the value that can be assigned to \f[B]seed\f[R].
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]I\f[R]
Pushes the current value of \f[B]ibase\f[R] onto the main stack.
.TP
\f[B]O\f[R]
Pushes the current value of \f[B]obase\f[R] onto the main stack.
.TP
\f[B]K\f[R]
Pushes the current value of \f[B]scale\f[R] onto the main stack.
.TP
\f[B]J\f[R]
Pushes the current value of \f[B]seed\f[R] onto the main stack.
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]T\f[R]
Pushes the maximum allowable value of \f[B]ibase\f[R] onto the main
stack.
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]U\f[R]
Pushes the maximum allowable value of \f[B]obase\f[R] onto the main
stack.
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]V\f[R]
Pushes the maximum allowable value of \f[B]scale\f[R] onto the main
stack.
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]W\f[R]
Pushes the maximum (inclusive) integer that can be generated with the
\f[B]\[cq]\f[R] pseudo-random number generator command.
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.SS Strings
.PP
The following commands control strings.
.PP
dc(1) can work with both numbers and strings, and registers (see the
\f[B]REGISTERS\f[R] section) can hold both strings and numbers.
dc(1) always knows whether the contents of a register are a string or a
number.
.PP
While arithmetic operations have to have numbers, and will print an
error if given a string, other commands accept strings.
.PP
Strings can also be executed as macros.
For example, if the string \f[B][1pR]\f[R] is executed as a macro, then
the code \f[B]1pR\f[R] is executed, meaning that the \f[B]1\f[R] will be
printed with a newline after and then popped from the stack.
.TP
\f[B][\f[R]\f[I]characters\f[R]\f[B]]\f[R]
Makes a string containing \f[I]characters\f[R] and pushes it onto the
stack.
.RS
.PP
If there are brackets (\f[B][\f[R] and \f[B]]\f[R]) in the string, then
they must be balanced.
Unbalanced brackets can be escaped using a backslash (\f[B]\[rs]\f[R])
character.
.PP
If there is a backslash character in the string, the character after it
(even another backslash) is put into the string verbatim, but the
(first) backslash is not.
.RE
.TP
\f[B]a\f[R]
The value on top of the stack is popped.
.RS
.PP
If it is a number, it is truncated and its absolute value is taken.
The result mod \f[B]256\f[R] is calculated.
If that result is \f[B]0\f[R], push an empty string; otherwise, push a
one-character string where the character is the result of the mod
interpreted as an ASCII character.
.PP
If it is a string, then a new string is made.
If the original string is empty, the new string is empty.
If it is not, then the first character of the original string is used to
create the new string as a one-character string.
The new string is then pushed onto the stack.
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]x\f[R]
Pops a value off of the top of the stack.
.RS
.PP
If it is a number, it is pushed back onto the stack.
.PP
If it is a string, it is executed as a macro.
.PP
This behavior is the norm whenever a macro is executed, whether by this
command or by the conditional execution commands below.
.RE
.TP
\f[B]>\f[R]\f[I]r\f[R]
Pops two values off of the stack that must be numbers and compares them.
If the first value is greater than the second, then the contents of
register \f[I]r\f[R] are executed.
.RS
.PP
For example, \f[B]0 1>a\f[R] will execute the contents of register
\f[B]a\f[R], and \f[B]1 0>a\f[R] will not.
.PP
If either or both of the values are not numbers, dc(1) will raise an
error and reset (see the \f[B]RESET\f[R] section).
.RE
.TP
\f[B]>\f[R]\f[I]r\f[R]\f[B]e\f[R]\f[I]s\f[R]
Like the above, but will execute register \f[I]s\f[R] if the comparison
fails.
.RS
.PP
If either or both of the values are not numbers, dc(1) will raise an
error and reset (see the \f[B]RESET\f[R] section).
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]!>\f[R]\f[I]r\f[R]
Pops two values off of the stack that must be numbers and compares them.
If the first value is not greater than the second (less than or equal
to), then the contents of register \f[I]r\f[R] are executed.
.RS
.PP
If either or both of the values are not numbers, dc(1) will raise an
error and reset (see the \f[B]RESET\f[R] section).
.RE
.TP
\f[B]!>\f[R]\f[I]r\f[R]\f[B]e\f[R]\f[I]s\f[R]
Like the above, but will execute register \f[I]s\f[R] if the comparison
fails.
.RS
.PP
If either or both of the values are not numbers, dc(1) will raise an
error and reset (see the \f[B]RESET\f[R] section).
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]<\f[R]\f[I]r\f[R]
Pops two values off of the stack that must be numbers and compares them.
If the first value is less than the second, then the contents of
register \f[I]r\f[R] are executed.
.RS
.PP
If either or both of the values are not numbers, dc(1) will raise an
error and reset (see the \f[B]RESET\f[R] section).
.RE
.TP
\f[B]<\f[R]\f[I]r\f[R]\f[B]e\f[R]\f[I]s\f[R]
Like the above, but will execute register \f[I]s\f[R] if the comparison
fails.
.RS
.PP
If either or both of the values are not numbers, dc(1) will raise an
error and reset (see the \f[B]RESET\f[R] section).
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]!<\f[R]\f[I]r\f[R]
Pops two values off of the stack that must be numbers and compares them.
If the first value is not less than the second (greater than or equal
to), then the contents of register \f[I]r\f[R] are executed.
.RS
.PP
If either or both of the values are not numbers, dc(1) will raise an
error and reset (see the \f[B]RESET\f[R] section).
.RE
.TP
\f[B]!<\f[R]\f[I]r\f[R]\f[B]e\f[R]\f[I]s\f[R]
Like the above, but will execute register \f[I]s\f[R] if the comparison
fails.
.RS
.PP
If either or both of the values are not numbers, dc(1) will raise an
error and reset (see the \f[B]RESET\f[R] section).
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]=\f[R]\f[I]r\f[R]
Pops two values off of the stack that must be numbers and compares them.
If the first value is equal to the second, then the contents of register
\f[I]r\f[R] are executed.
.RS
.PP
If either or both of the values are not numbers, dc(1) will raise an
error and reset (see the \f[B]RESET\f[R] section).
.RE
.TP
\f[B]=\f[R]\f[I]r\f[R]\f[B]e\f[R]\f[I]s\f[R]
Like the above, but will execute register \f[I]s\f[R] if the comparison
fails.
.RS
.PP
If either or both of the values are not numbers, dc(1) will raise an
error and reset (see the \f[B]RESET\f[R] section).
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]!=\f[R]\f[I]r\f[R]
Pops two values off of the stack that must be numbers and compares them.
If the first value is not equal to the second, then the contents of
register \f[I]r\f[R] are executed.
.RS
.PP
If either or both of the values are not numbers, dc(1) will raise an
error and reset (see the \f[B]RESET\f[R] section).
.RE
.TP
\f[B]!=\f[R]\f[I]r\f[R]\f[B]e\f[R]\f[I]s\f[R]
Like the above, but will execute register \f[I]s\f[R] if the comparison
fails.
.RS
.PP
If either or both of the values are not numbers, dc(1) will raise an
error and reset (see the \f[B]RESET\f[R] section).
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.TP
\f[B]?\f[R]
Reads a line from the \f[B]stdin\f[R] and executes it.
This is to allow macros to request input from users.
.TP
\f[B]q\f[R]
During execution of a macro, this exits the execution of that macro and
the execution of the macro that executed it.
If there are no macros, or only one macro executing, dc(1) exits.
.TP
\f[B]Q\f[R]
Pops a value from the stack which must be non-negative and is used the
number of macro executions to pop off of the execution stack.
If the number of levels to pop is greater than the number of executing
macros, dc(1) exits.
.TP
\f[B],\f[R]
Pushes the depth of the execution stack onto the stack.
The execution stack is the stack of string executions.
The number that is pushed onto the stack is exactly as many as is needed
to make dc(1) exit with the \f[B]Q\f[R] command, so the sequence
\f[B],Q\f[R] will make dc(1) exit.
.SS Status
.PP
These commands query status of the stack or its top value.
.TP
\f[B]Z\f[R]
Pops a value off of the stack.
.RS
.PP
If it is a number, calculates the number of significant decimal digits
it has and pushes the result.
It will push \f[B]1\f[R] if the argument is \f[B]0\f[R] with no decimal
places.
.PP
If it is a string, pushes the number of characters the string has.
.RE
.TP
\f[B]X\f[R]
Pops a value off of the stack.
.RS
.PP
If it is a number, pushes the \f[I]scale\f[R] of the value onto the
stack.
.PP
If it is a string, pushes \f[B]0\f[R].
.RE
.TP
\f[B]z\f[R]
Pushes the current depth of the stack (before execution of this command)
onto the stack.
.TP
\f[B]y\f[R]\f[I]r\f[R]
Pushes the current stack depth of the register \f[I]r\f[R] onto the main
stack.
.RS
.PP
Because each register has a depth of \f[B]1\f[R] (with the value
\f[B]0\f[R] in the top item) when dc(1) starts, dc(1) requires that each
register\[cq]s stack must always have at least one item; dc(1) will give
an error and reset otherwise (see the \f[B]RESET\f[R] section).
This means that this command will never push \f[B]0\f[R].
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.SS Arrays
.PP
These commands manipulate arrays.
.TP
\f[B]:\f[R]\f[I]r\f[R]
Pops the top two values off of the stack.
The second value will be stored in the array \f[I]r\f[R] (see the
\f[B]REGISTERS\f[R] section), indexed by the first value.
.TP
\f[B];\f[R]\f[I]r\f[R]
Pops the value on top of the stack and uses it as an index into the
array \f[I]r\f[R].
The selected value is then pushed onto the stack.
.TP
\f[B]Y\f[R]\f[I]r\f[R]
Pushes the length of the array \f[I]r\f[R] onto the stack.
.RS
.PP
This is a \f[B]non-portable extension\f[R].
.RE
.SS Global Settings
.PP
These commands retrieve global settings.
These are the only commands that require multiple specific characters,
and all of them begin with the letter \f[B]g\f[R].
Only the characters below are allowed after the character \f[B]g\f[R];
any other character produces a parse error (see the \f[B]ERRORS\f[R]
section).
.TP
\f[B]gl\f[R]
Pushes the line length set by \f[B]DC_LINE_LENGTH\f[R] (see the
\f[B]ENVIRONMENT VARIABLES\f[R] section) onto the stack.
.TP
\f[B]gz\f[R]
Pushes \f[B]0\f[R] onto the stack if the leading zero setting has not
been enabled with the \f[B]-z\f[R] or \f[B]--leading-zeroes\f[R] options
(see the \f[B]OPTIONS\f[R] section), non-zero otherwise.
.SH REGISTERS
.PP
Registers are names that can store strings, numbers, and arrays.
(Number/string registers do not interfere with array registers.)
.PP
Each register is also its own stack, so the current register value is
the top of the stack for the register.
All registers, when first referenced, have one value (\f[B]0\f[R]) in
their stack, and it is a runtime error to attempt to pop that item off
of the register stack.
.PP
In non-extended register mode, a register name is just the single
character that follows any command that needs a register name.
The only exceptions are: a newline (\f[B]`\[rs]n'\f[R]) and a left
bracket (\f[B]`['\f[R]); it is a parse error for a newline or a left
bracket to be used as a register name.
.SS Extended Register Mode
.PP
Unlike most other dc(1) implentations, this dc(1) provides nearly
unlimited amounts of registers, if extended register mode is enabled.
.PP
If extended register mode is enabled (\f[B]-x\f[R] or
\f[B]--extended-register\f[R] command-line arguments are given), then
normal single character registers are used \f[I]unless\f[R] the
character immediately following a command that needs a register name is
a space (according to \f[B]isspace()\f[R]) and not a newline
(\f[B]`\[rs]n'\f[R]).
.PP
In that case, the register name is found according to the regex
\f[B][a-z][a-z0-9_]*\f[R] (like bc(1) identifiers), and it is a parse
error if the next non-space characters do not match that regex.
.SH RESET
.PP
When dc(1) encounters an error or a signal that it has a non-default
handler for, it resets.
This means that several things happen.
.PP
First, any macros that are executing are stopped and popped off the
stack.
The behavior is not unlike that of exceptions in programming languages.
Then the execution point is set so that any code waiting to execute
(after all macros returned) is skipped.
.PP
Thus, when dc(1) resets, it skips any remaining code waiting to be
executed.
Then, if it is interactive mode, and the error was not a fatal error
(see the \f[B]EXIT STATUS\f[R] section), it asks for more input;
otherwise, it exits with the appropriate return code.
.SH PERFORMANCE
.PP
Most dc(1) implementations use \f[B]char\f[R] types to calculate the
value of \f[B]1\f[R] decimal digit at a time, but that can be slow.
This dc(1) does something different.
.PP
It uses large integers to calculate more than \f[B]1\f[R] decimal digit
at a time.
If built in a environment where \f[B]DC_LONG_BIT\f[R] (see the
\f[B]LIMITS\f[R] section) is \f[B]64\f[R], then each integer has
\f[B]9\f[R] decimal digits.
If built in an environment where \f[B]DC_LONG_BIT\f[R] is \f[B]32\f[R]
then each integer has \f[B]4\f[R] decimal digits.
This value (the number of decimal digits per large integer) is called
\f[B]DC_BASE_DIGS\f[R].
.PP
In addition, this dc(1) uses an even larger integer for overflow
checking.
This integer type depends on the value of \f[B]DC_LONG_BIT\f[R], but is
always at least twice as large as the integer type used to store digits.
.SH LIMITS
.PP
The following are the limits on dc(1):
.TP
\f[B]DC_LONG_BIT\f[R]
The number of bits in the \f[B]long\f[R] type in the environment where
dc(1) was built.
This determines how many decimal digits can be stored in a single large
integer (see the \f[B]PERFORMANCE\f[R] section).
.TP
\f[B]DC_BASE_DIGS\f[R]
The number of decimal digits per large integer (see the
\f[B]PERFORMANCE\f[R] section).
Depends on \f[B]DC_LONG_BIT\f[R].
.TP
\f[B]DC_BASE_POW\f[R]
The max decimal number that each large integer can store (see
\f[B]DC_BASE_DIGS\f[R]) plus \f[B]1\f[R].
Depends on \f[B]DC_BASE_DIGS\f[R].
.TP
\f[B]DC_OVERFLOW_MAX\f[R]
The max number that the overflow type (see the \f[B]PERFORMANCE\f[R]
section) can hold.
Depends on \f[B]DC_LONG_BIT\f[R].
.TP
\f[B]DC_BASE_MAX\f[R]
The maximum output base.
Set at \f[B]DC_BASE_POW\f[R].
.TP
\f[B]DC_DIM_MAX\f[R]
The maximum size of arrays.
Set at \f[B]SIZE_MAX-1\f[R].
.TP
\f[B]DC_SCALE_MAX\f[R]
The maximum \f[B]scale\f[R].
Set at \f[B]DC_OVERFLOW_MAX-1\f[R].
.TP
\f[B]DC_STRING_MAX\f[R]
The maximum length of strings.
Set at \f[B]DC_OVERFLOW_MAX-1\f[R].
.TP
\f[B]DC_NAME_MAX\f[R]
The maximum length of identifiers.
Set at \f[B]DC_OVERFLOW_MAX-1\f[R].
.TP
\f[B]DC_NUM_MAX\f[R]
The maximum length of a number (in decimal digits), which includes
digits after the decimal point.
Set at \f[B]DC_OVERFLOW_MAX-1\f[R].
.TP
\f[B]DC_RAND_MAX\f[R]
The maximum integer (inclusive) returned by the \f[B]\[cq]\f[R] command,
if dc(1).
Set at \f[B]2\[ha]DC_LONG_BIT-1\f[R].
.TP
Exponent
The maximum allowable exponent (positive or negative).
Set at \f[B]DC_OVERFLOW_MAX\f[R].
.TP
Number of vars
The maximum number of vars/arrays.
Set at \f[B]SIZE_MAX-1\f[R].
.PP
These limits are meant to be effectively non-existent; the limits are so
large (at least on 64-bit machines) that there should not be any point
at which they become a problem.
In fact, memory should be exhausted before these limits should be hit.
.SH ENVIRONMENT VARIABLES
.PP
As \f[B]non-portable extensions\f[R], dc(1) recognizes the following
environment variables:
.TP
\f[B]DC_ENV_ARGS\f[R]
This is another way to give command-line arguments to dc(1).
They should be in the same format as all other command-line arguments.
These are always processed first, so any files given in
\f[B]DC_ENV_ARGS\f[R] will be processed before arguments and files given
on the command-line.
This gives the user the ability to set up \[lq]standard\[rq] options and
files to be used at every invocation.
The most useful thing for such files to contain would be useful
functions that the user might want every time dc(1) runs.
Another use would be to use the \f[B]-e\f[R] option to set
\f[B]scale\f[R] to a value other than \f[B]0\f[R].
.RS
.PP
The code that parses \f[B]DC_ENV_ARGS\f[R] will correctly handle quoted
arguments, but it does not understand escape sequences.
For example, the string \f[B]\[lq]/home/gavin/some dc file.dc\[rq]\f[R]
will be correctly parsed, but the string \f[B]\[lq]/home/gavin/some
\[dq]dc\[dq] file.dc\[rq]\f[R] will include the backslashes.
.PP
The quote parsing will handle either kind of quotes, \f[B]\[cq]\f[R] or
\f[B]\[lq]\f[R].
Thus, if you have a file with any number of single quotes in the name,
you can use double quotes as the outside quotes, as in \f[B]\[lq]some
`dc' file.dc\[rq]\f[R], and vice versa if you have a file with double
quotes.
However, handling a file with both kinds of quotes in
\f[B]DC_ENV_ARGS\f[R] is not supported due to the complexity of the
parsing, though such files are still supported on the command-line where
the parsing is done by the shell.
.RE
.TP
\f[B]DC_LINE_LENGTH\f[R]
If this environment variable exists and contains an integer that is
greater than \f[B]1\f[R] and is less than \f[B]UINT16_MAX\f[R]
(\f[B]2\[ha]16-1\f[R]), dc(1) will output lines to that length,
including the backslash newline combo.
The default line length is \f[B]70\f[R].
.RS
.PP
The special value of \f[B]0\f[R] will disable line length checking and
print numbers without regard to line length and without backslashes and
newlines.
.RE
.TP
\f[B]DC_SIGINT_RESET\f[R]
If dc(1) is not in interactive mode (see the \f[B]INTERACTIVE MODE\f[R]
section), then this environment variable has no effect because dc(1)
exits on \f[B]SIGINT\f[R] when not in interactive mode.
.RS
.PP
However, when dc(1) is in interactive mode, then if this environment
variable exists and contains an integer, a non-zero value makes dc(1)
reset on \f[B]SIGINT\f[R], rather than exit, and zero makes dc(1) exit.
If this environment variable exists and is \f[I]not\f[R] an integer,
then dc(1) will exit on \f[B]SIGINT\f[R].
.PP
This environment variable overrides the default, which can be queried
with the \f[B]-h\f[R] or \f[B]--help\f[R] options.
.RE
.TP
\f[B]DC_TTY_MODE\f[R]
If TTY mode is \f[I]not\f[R] available (see the \f[B]TTY MODE\f[R]
section), then this environment variable has no effect.
.RS
.PP
However, when TTY mode is available, then if this environment variable
exists and contains an integer, then a non-zero value makes dc(1) use
TTY mode, and zero makes dc(1) not use TTY mode.
.PP
This environment variable overrides the default, which can be queried
with the \f[B]-h\f[R] or \f[B]--help\f[R] options.
.RE
.TP
\f[B]DC_PROMPT\f[R]
If TTY mode is \f[I]not\f[R] available (see the \f[B]TTY MODE\f[R]
section), then this environment variable has no effect.
.RS
.PP
However, when TTY mode is available, then if this environment variable
exists and contains an integer, a non-zero value makes dc(1) use a
prompt, and zero or a non-integer makes dc(1) not use a prompt.
If this environment variable does not exist and \f[B]DC_TTY_MODE\f[R]
does, then the value of the \f[B]DC_TTY_MODE\f[R] environment variable
is used.
.PP
This environment variable and the \f[B]DC_TTY_MODE\f[R] environment
variable override the default, which can be queried with the
\f[B]-h\f[R] or \f[B]--help\f[R] options.
.RE
.TP
\f[B]DC_EXPR_EXIT\f[R]
If any expressions or expression files are given on the command-line
with \f[B]-e\f[R], \f[B]--expression\f[R], \f[B]-f\f[R], or
\f[B]--file\f[R], then if this environment variable exists and contains
an integer, a non-zero value makes dc(1) exit after executing the
expressions and expression files, and a zero value makes dc(1) not exit.
.RS
.PP
This environment variable overrides the default, which can be queried
with the \f[B]-h\f[R] or \f[B]--help\f[R] options.
.RE
.TP
\f[B]DC_DIGIT_CLAMP\f[R]
When parsing numbers and if this environment variable exists and
contains an integer, a non-zero value makes dc(1) clamp digits that are
greater than or equal to the current \f[B]ibase\f[R] so that all such
digits are considered equal to the \f[B]ibase\f[R] minus 1, and a zero
value disables such clamping so that those digits are always equal to
their value, which is multiplied by the power of the \f[B]ibase\f[R].
.RS
.PP
This never applies to single-digit numbers, as per the bc(1) standard
(see the \f[B]STANDARDS\f[R] section).
.PP
This environment variable overrides the default, which can be queried
with the \f[B]-h\f[R] or \f[B]--help\f[R] options.
.RE
.SH EXIT STATUS
.PP
dc(1) returns the following exit statuses:
.TP
\f[B]0\f[R]
No error.
.TP
\f[B]1\f[R]
A math error occurred.
This follows standard practice of using \f[B]1\f[R] for expected errors,
since math errors will happen in the process of normal execution.
.RS
.PP
Math errors include divide by \f[B]0\f[R], taking the square root of a
negative number, using a negative number as a bound for the
pseudo-random number generator, attempting to convert a negative number
to a hardware integer, overflow when converting a number to a hardware
integer, overflow when calculating the size of a number, and attempting
to use a non-integer where an integer is required.
.PP
Converting to a hardware integer happens for the second operand of the
power (\f[B]\[ha]\f[R]), places (\f[B]\[at]\f[R]), left shift
(\f[B]H\f[R]), and right shift (\f[B]h\f[R]) operators.
.RE
.TP
\f[B]2\f[R]
A parse error occurred.
.RS
.PP
Parse errors include unexpected \f[B]EOF\f[R], using an invalid
character, failing to find the end of a string or comment, and using a
token where it is invalid.
.RE
.TP
\f[B]3\f[R]
A runtime error occurred.
.RS
.PP
Runtime errors include assigning an invalid number to any global
(\f[B]ibase\f[R], \f[B]obase\f[R], or \f[B]scale\f[R]), giving a bad
expression to a \f[B]read()\f[R] call, calling \f[B]read()\f[R] inside
of a \f[B]read()\f[R] call, type errors (including attempting to execute
a number), and attempting an operation when the stack has too few
elements.
.RE
.TP
\f[B]4\f[R]
A fatal error occurred.
.RS
.PP
Fatal errors include memory allocation errors, I/O errors, failing to
open files, attempting to use files that do not have only ASCII
characters (dc(1) only accepts ASCII characters), attempting to open a
directory as a file, and giving invalid command-line options.
.RE
.PP
The exit status \f[B]4\f[R] is special; when a fatal error occurs, dc(1)
always exits and returns \f[B]4\f[R], no matter what mode dc(1) is in.
.PP
The other statuses will only be returned when dc(1) is not in
interactive mode (see the \f[B]INTERACTIVE MODE\f[R] section), since
dc(1) resets its state (see the \f[B]RESET\f[R] section) and accepts
more input when one of those errors occurs in interactive mode.
This is also the case when interactive mode is forced by the
\f[B]-i\f[R] flag or \f[B]--interactive\f[R] option.
.PP
These exit statuses allow dc(1) to be used in shell scripting with error
checking, and its normal behavior can be forced by using the
\f[B]-i\f[R] flag or \f[B]--interactive\f[R] option.
.SH INTERACTIVE MODE
.PP
Like bc(1), dc(1) has an interactive mode and a non-interactive mode.
Interactive mode is turned on automatically when both \f[B]stdin\f[R]
and \f[B]stdout\f[R] are hooked to a terminal, but the \f[B]-i\f[R] flag
and \f[B]--interactive\f[R] option can turn it on in other situations.
.PP
In interactive mode, dc(1) attempts to recover from errors (see the
\f[B]RESET\f[R] section), and in normal execution, flushes
\f[B]stdout\f[R] as soon as execution is done for the current input.
dc(1) may also reset on \f[B]SIGINT\f[R] instead of exit, depending on
the contents of, or default for, the \f[B]DC_SIGINT_RESET\f[R]
environment variable (see the \f[B]ENVIRONMENT VARIABLES\f[R] section).
.SH TTY MODE
.PP
If \f[B]stdin\f[R], \f[B]stdout\f[R], and \f[B]stderr\f[R] are all
connected to a TTY, then \[lq]TTY mode\[rq] is considered to be
available, and thus, dc(1) can turn on TTY mode, subject to some
settings.
.PP
If there is the environment variable \f[B]DC_TTY_MODE\f[R] in the
environment (see the \f[B]ENVIRONMENT VARIABLES\f[R] section), then if
that environment variable contains a non-zero integer, dc(1) will turn
on TTY mode when \f[B]stdin\f[R], \f[B]stdout\f[R], and \f[B]stderr\f[R]
are all connected to a TTY.
If the \f[B]DC_TTY_MODE\f[R] environment variable exists but is
\f[I]not\f[R] a non-zero integer, then dc(1) will not turn TTY mode on.
.PP
If the environment variable \f[B]DC_TTY_MODE\f[R] does \f[I]not\f[R]
exist, the default setting is used.
The default setting can be queried with the \f[B]-h\f[R] or
\f[B]--help\f[R] options.
.PP
TTY mode is different from interactive mode because interactive mode is
required in the bc(1) specification (see the \f[B]STANDARDS\f[R]
section), and interactive mode requires only \f[B]stdin\f[R] and
\f[B]stdout\f[R] to be connected to a terminal.
.SS Command-Line History
.PP
Command-line history is only enabled if TTY mode is, i.e., that
\f[B]stdin\f[R], \f[B]stdout\f[R], and \f[B]stderr\f[R] are connected to
a TTY and the \f[B]DC_TTY_MODE\f[R] environment variable (see the
\f[B]ENVIRONMENT VARIABLES\f[R] section) and its default do not disable
TTY mode.
See the \f[B]COMMAND LINE HISTORY\f[R] section for more information.
.SS Prompt
.PP
If TTY mode is available, then a prompt can be enabled.
Like TTY mode itself, it can be turned on or off with an environment
variable: \f[B]DC_PROMPT\f[R] (see the \f[B]ENVIRONMENT VARIABLES\f[R]
section).
.PP
If the environment variable \f[B]DC_PROMPT\f[R] exists and is a non-zero
integer, then the prompt is turned on when \f[B]stdin\f[R],
\f[B]stdout\f[R], and \f[B]stderr\f[R] are connected to a TTY and the
\f[B]-P\f[R] and \f[B]--no-prompt\f[R] options were not used.
The read prompt will be turned on under the same conditions, except that
the \f[B]-R\f[R] and \f[B]--no-read-prompt\f[R] options must also not be
used.
.PP
However, if \f[B]DC_PROMPT\f[R] does not exist, the prompt can be
enabled or disabled with the \f[B]DC_TTY_MODE\f[R] environment variable,
the \f[B]-P\f[R] and \f[B]--no-prompt\f[R] options, and the \f[B]-R\f[R]
and \f[B]--no-read-prompt\f[R] options.
See the \f[B]ENVIRONMENT VARIABLES\f[R] and \f[B]OPTIONS\f[R] sections
for more details.
.SH SIGNAL HANDLING
.PP
Sending a \f[B]SIGINT\f[R] will cause dc(1) to do one of two things.
.PP
If dc(1) is not in interactive mode (see the \f[B]INTERACTIVE MODE\f[R]
section), or the \f[B]DC_SIGINT_RESET\f[R] environment variable (see the
\f[B]ENVIRONMENT VARIABLES\f[R] section), or its default, is either not
an integer or it is zero, dc(1) will exit.
.PP
However, if dc(1) is in interactive mode, and the
\f[B]DC_SIGINT_RESET\f[R] or its default is an integer and non-zero,
then dc(1) will stop executing the current input and reset (see the
\f[B]RESET\f[R] section) upon receiving a \f[B]SIGINT\f[R].
.PP
Note that \[lq]current input\[rq] can mean one of two things.
If dc(1) is processing input from \f[B]stdin\f[R] in interactive mode,
it will ask for more input.
If dc(1) is processing input from a file in interactive mode, it will
stop processing the file and start processing the next file, if one
exists, or ask for input from \f[B]stdin\f[R] if no other file exists.
.PP
This means that if a \f[B]SIGINT\f[R] is sent to dc(1) as it is
executing a file, it can seem as though dc(1) did not respond to the
signal since it will immediately start executing the next file.
This is by design; most files that users execute when interacting with
dc(1) have function definitions, which are quick to parse.
If a file takes a long time to execute, there may be a bug in that file.
The rest of the files could still be executed without problem, allowing
the user to continue.
.PP
\f[B]SIGTERM\f[R] and \f[B]SIGQUIT\f[R] cause dc(1) to clean up and
exit, and it uses the default handler for all other signals.
The one exception is \f[B]SIGHUP\f[R]; in that case, and only when dc(1)
is in TTY mode (see the \f[B]TTY MODE\f[R] section), a \f[B]SIGHUP\f[R]
will cause dc(1) to clean up and exit.
.SH COMMAND LINE HISTORY
.PP
dc(1) supports interactive command-line editing.
.PP
If dc(1) can be in TTY mode (see the \f[B]TTY MODE\f[R] section),
history can be enabled.
This means that command-line history can only be enabled when
\f[B]stdin\f[R], \f[B]stdout\f[R], and \f[B]stderr\f[R] are all
connected to a TTY.
.PP
Like TTY mode itself, it can be turned on or off with the environment
variable \f[B]DC_TTY_MODE\f[R] (see the \f[B]ENVIRONMENT VARIABLES\f[R]
section).
.PP
\f[B]Note\f[R]: tabs are converted to 8 spaces.
.SH SEE ALSO
.PP
bc(1)
.SH STANDARDS
.PP
The dc(1) utility operators and some behavior are compliant with the
operators in the IEEE Std 1003.1-2017 (\[lq]POSIX.1-2017\[rq]) bc(1)
specification at
https://pubs.opengroup.org/onlinepubs/9699919799/utilities/bc.html .
.SH BUGS
.PP
None are known.
Report bugs at https://git.yzena.com/gavin/bc.
.SH AUTHOR
.PP
Gavin D.
Howard <gavin@yzena.com> and contributors.