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+.\"
+.\" SPDX-License-Identifier: BSD-2-Clause
+.\"
+.\" Copyright (c) 2018-2020 Gavin D. Howard and contributors.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions are met:
+.\"
+.\" * Redistributions of source code must retain the above copyright notice,
+.\" this list of conditions and the following disclaimer.
+.\"
+.\" * Redistributions in binary form must reproduce the above copyright notice,
+.\" this list of conditions and the following disclaimer in the documentation
+.\" and/or other materials provided with the distribution.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+.\" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
+.\" LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+.\" CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+.\" SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+.\" INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+.\" CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+.\" ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+.\" POSSIBILITY OF SUCH DAMAGE.
+.\"
+.TH "BC" "1" "October 2020" "Gavin D. Howard" "General Commands Manual"
+.SH NAME
+.PP
+bc - arbitrary-precision decimal arithmetic language and calculator
+.SH SYNOPSIS
+.PP
+\f[B]bc\f[R] [\f[B]-ghilPqsvVw\f[R]] [\f[B]\[en]global-stacks\f[R]]
+[\f[B]\[en]help\f[R]] [\f[B]\[en]interactive\f[R]]
+[\f[B]\[en]mathlib\f[R]] [\f[B]\[en]no-prompt\f[R]]
+[\f[B]\[en]quiet\f[R]] [\f[B]\[en]standard\f[R]] [\f[B]\[en]warn\f[R]]
+[\f[B]\[en]version\f[R]] [\f[B]-e\f[R] \f[I]expr\f[R]]
+[\f[B]\[en]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]\&...]
+.SH DESCRIPTION
+.PP
+bc(1) is an interactive processor for a language first standardized in
+1991 by POSIX.
+(The current standard is
+here (https://pubs.opengroup.org/onlinepubs/9699919799/utilities/bc.html).)
+The language provides unlimited precision decimal arithmetic and is
+somewhat C-like, but there are differences.
+Such differences will be noted in this document.
+.PP
+After parsing and handling options, this bc(1) reads any files given on
+the command line and executes them before reading from \f[B]stdin\f[R].
+.SH OPTIONS
+.PP
+The following are the options that bc(1) accepts.
+.PP
+\f[B]-g\f[R], \f[B]\[en]global-stacks\f[R]
+.IP
+.nf
+\f[C]
+Turns the globals **ibase**, **obase**, and **scale** into stacks.
+
+This has the effect that a copy of the current value of all three are pushed
+onto a stack for every function call, as well as popped when every function
+returns. This means that functions can assign to any and all of those
+globals without worrying that the change will affect other functions.
+Thus, a hypothetical function named **output(x,b)** that simply printed
+**x** in base **b** could be written like this:
+
+ define void output(x, b) {
+ obase=b
+ x
+ }
+
+instead of like this:
+
+ define void output(x, b) {
+ auto c
+ c=obase
+ obase=b
+ x
+ obase=c
+ }
+
+This makes writing functions much easier.
+
+However, since using this flag means that functions cannot set **ibase**,
+**obase**, or **scale** globally, functions that are made to do so cannot
+work anymore. There are two possible use cases for that, and each has a
+solution.
+
+First, if a function is called on startup to turn bc(1) into a number
+converter, it is possible to replace that capability with various shell
+aliases. Examples:
+
+ alias d2o=\[dq]bc -e ibase=A -e obase=8\[dq]
+ alias h2b=\[dq]bc -e ibase=G -e obase=2\[dq]
+
+Second, if the purpose of a function is to set **ibase**, **obase**, or
+**scale** globally for any other purpose, it could be split into one to
+three functions (based on how many globals it sets) and each of those
+functions could return the desired value for a global.
+
+If the behavior of this option is desired for every run of bc(1), then users
+could make sure to define **BC_ENV_ARGS** and include this option (see the
+**ENVIRONMENT VARIABLES** section for more details).
+
+If **-s**, **-w**, or any equivalents are used, this option is ignored.
+
+This is a **non-portable extension**.
+\f[R]
+.fi
+.TP
+\f[B]-h\f[R], \f[B]\[en]help\f[R]
+Prints a usage message and quits.
+.TP
+\f[B]-i\f[R], \f[B]\[en]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]\[en]mathlib\f[R]
+Sets \f[B]scale\f[R] (see the \f[B]SYNTAX\f[R] section) to \f[B]20\f[R]
+and loads the included math library before running any code, including
+any expressions or files specified on the command line.
+.RS
+.PP
+To learn what is in the library, see the \f[B]LIBRARY\f[R] section.
+.RE
+.TP
+\f[B]-P\f[R], \f[B]\[en]no-prompt\f[R]
+This option is a no-op.
+.RS
+.PP
+This is a \f[B]non-portable extension\f[R].
+.RE
+.TP
+\f[B]-q\f[R], \f[B]\[en]quiet\f[R]
+This option is for compatibility with the GNU
+bc(1) (https://www.gnu.org/software/bc/); it is a no-op.
+Without this option, GNU bc(1) prints a copyright header.
+This bc(1) only prints the copyright header if one or more of the
+\f[B]-v\f[R], \f[B]-V\f[R], or \f[B]\[en]version\f[R] options are given.
+.RS
+.PP
+This is a \f[B]non-portable extension\f[R].
+.RE
+.TP
+\f[B]-s\f[R], \f[B]\[en]standard\f[R]
+Process exactly the language defined by the
+standard (https://pubs.opengroup.org/onlinepubs/9699919799/utilities/bc.html)
+and error if any extensions are used.
+.RS
+.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]\[en]version\f[R]
+Print the version information (copyright header) and exit.
+.RS
+.PP
+This is a \f[B]non-portable extension\f[R].
+.RE
+.TP
+\f[B]-w\f[R], \f[B]\[en]warn\f[R]
+Like \f[B]-s\f[R] and \f[B]\[en]standard\f[R], except that warnings (and
+not errors) are printed for non-standard extensions and execution
+continues normally.
+.RS
+.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]\[en]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
+After processing all expressions and files, bc(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]\[en]file\f[R].
+However, if any other \f[B]-e\f[R], \f[B]\[en]expression\f[R],
+\f[B]-f\f[R], or \f[B]\[en]file\f[R] arguments are given after that,
+bc(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]\[en]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
+After processing all expressions and files, bc(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]\[en]file\f[R].
+.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 STDOUT
+.PP
+Any non-error output is written to \f[B]stdout\f[R].
+.PP
+\f[B]Note\f[R]: Unlike other bc(1) implementations, this bc(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]bc >&-\f[R], it will quit with an error.
+This is done so that bc(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 bc(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 bc(1) implementations, this bc(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]bc 2>&-\f[R], it will quit with an error.
+This is done so that bc(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 bc(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
+The syntax for bc(1) programs is mostly C-like, with some differences.
+This bc(1) follows the POSIX
+standard (https://pubs.opengroup.org/onlinepubs/9699919799/utilities/bc.html),
+which is a much more thorough resource for the language this bc(1)
+accepts.
+This section is meant to be a summary and a listing of all the
+extensions to the standard.
+.PP
+In the sections below, \f[B]E\f[R] means expression, \f[B]S\f[R] means
+statement, and \f[B]I\f[R] means identifier.
+.PP
+Identifiers (\f[B]I\f[R]) start with a lowercase letter and can be
+followed by any number (up to \f[B]BC_NAME_MAX-1\f[R]) of lowercase
+letters (\f[B]a-z\f[R]), digits (\f[B]0-9\f[R]), and underscores
+(\f[B]_\f[R]).
+The regex is \f[B][a-z][a-z0-9_]*\f[R].
+Identifiers with more than one character (letter) are a
+\f[B]non-portable extension\f[R].
+.PP
+\f[B]ibase\f[R] is a global variable determining 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].
+If the \f[B]-s\f[R] (\f[B]\[en]standard\f[R]) and \f[B]-w\f[R]
+(\f[B]\[en]warn\f[R]) flags were not given on the command line, the max
+allowable value for \f[B]ibase\f[R] is \f[B]36\f[R].
+Otherwise, it 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 bc(1)
+programs with the \f[B]maxibase()\f[R] built-in function.
+.PP
+\f[B]obase\f[R] is a global variable determining 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]BC_BASE_MAX\f[R] and
+can be queried in bc(1) programs with the \f[B]maxobase()\f[R] built-in
+function.
+The min allowable value for \f[B]obase\f[R] is \f[B]2\f[R].
+Values are output in the specified base.
+.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 global variable 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] is \f[B]BC_SCALE_MAX\f[R]
+and can be queried in bc(1) programs with the \f[B]maxscale()\f[R]
+built-in function.
+.PP
+bc(1) has both \f[I]global\f[R] variables and \f[I]local\f[R] variables.
+All \f[I]local\f[R] variables are local to the function; they are
+parameters or are introduced in the \f[B]auto\f[R] list of a function
+(see the \f[B]FUNCTIONS\f[R] section).
+If a variable is accessed which is not a parameter or in the
+\f[B]auto\f[R] list, it is assumed to be \f[I]global\f[R].
+If a parent function has a \f[I]local\f[R] variable version of a
+variable that a child function considers \f[I]global\f[R], the value of
+that \f[I]global\f[R] variable in the child function is the value of the
+variable in the parent function, not the value of the actual
+\f[I]global\f[R] variable.
+.PP
+All of the above applies to arrays as well.
+.PP
+The value of a statement that is an expression (i.e., any of the named
+expressions or operands) is printed unless the lowest precedence
+operator is an assignment operator \f[I]and\f[R] the expression is
+notsurrounded by parentheses.
+.PP
+The value that is printed is also assigned to the special variable
+\f[B]last\f[R].
+A single dot (\f[B].\f[R]) may also be used as a synonym for
+\f[B]last\f[R].
+These are \f[B]non-portable extensions\f[R].
+.PP
+Either semicolons or newlines may separate statements.
+.SS Comments
+.PP
+There are two kinds of comments:
+.IP "1." 3
+Block comments are enclosed in \f[B]/*\f[R] and \f[B]*/\f[R].
+.IP "2." 3
+Line comments go from \f[B]#\f[R] until, and not including, the next
+newline.
+This is a \f[B]non-portable extension\f[R].
+.SS Named Expressions
+.PP
+The following are named expressions in bc(1):
+.IP "1." 3
+Variables: \f[B]I\f[R]
+.IP "2." 3
+Array Elements: \f[B]I[E]\f[R]
+.IP "3." 3
+\f[B]ibase\f[R]
+.IP "4." 3
+\f[B]obase\f[R]
+.IP "5." 3
+\f[B]scale\f[R]
+.IP "6." 3
+\f[B]last\f[R] or a single dot (\f[B].\f[R])
+.PP
+Number 6 is a \f[B]non-portable extension\f[R].
+.PP
+Variables and arrays do not interfere; users can have arrays named the
+same as variables.
+This also applies to functions (see the \f[B]FUNCTIONS\f[R] section), so
+a user can have a variable, array, and function that all have the same
+name, and they will not shadow each other, whether inside of functions
+or not.
+.PP
+Named expressions are required as the operand of
+\f[B]increment\f[R]/\f[B]decrement\f[R] operators and as the left side
+of \f[B]assignment\f[R] operators (see the \f[I]Operators\f[R]
+subsection).
+.SS Operands
+.PP
+The following are valid operands in bc(1):
+.IP " 1." 4
+Numbers (see the \f[I]Numbers\f[R] subsection below).
+.IP " 2." 4
+Array indices (\f[B]I[E]\f[R]).
+.IP " 3." 4
+\f[B](E)\f[R]: The value of \f[B]E\f[R] (used to change precedence).
+.IP " 4." 4
+\f[B]sqrt(E)\f[R]: The square root of \f[B]E\f[R].
+\f[B]E\f[R] must be non-negative.
+.IP " 5." 4
+\f[B]length(E)\f[R]: The number of significant decimal digits in
+\f[B]E\f[R].
+.IP " 6." 4
+\f[B]length(I[])\f[R]: The number of elements in the array \f[B]I\f[R].
+This is a \f[B]non-portable extension\f[R].
+.IP " 7." 4
+\f[B]scale(E)\f[R]: The \f[I]scale\f[R] of \f[B]E\f[R].
+.IP " 8." 4
+\f[B]abs(E)\f[R]: The absolute value of \f[B]E\f[R].
+This is a \f[B]non-portable extension\f[R].
+.IP " 9." 4
+\f[B]I()\f[R], \f[B]I(E)\f[R], \f[B]I(E, E)\f[R], and so on, where
+\f[B]I\f[R] is an identifier for a non-\f[B]void\f[R] function (see the
+\f[I]Void Functions\f[R] subsection of the \f[B]FUNCTIONS\f[R] section).
+The \f[B]E\f[R] argument(s) may also be arrays of the form
+\f[B]I[]\f[R], which will automatically be turned into array references
+(see the \f[I]Array References\f[R] subsection of the
+\f[B]FUNCTIONS\f[R] section) if the corresponding parameter in the
+function definition is an array reference.
+.IP "10." 4
+\f[B]read()\f[R]: Reads a line from \f[B]stdin\f[R] and uses that as an
+expression.
+The result of that expression is the result of the \f[B]read()\f[R]
+operand.
+This is a \f[B]non-portable extension\f[R].
+.IP "11." 4
+\f[B]maxibase()\f[R]: The max allowable \f[B]ibase\f[R].
+This is a \f[B]non-portable extension\f[R].
+.IP "12." 4
+\f[B]maxobase()\f[R]: The max allowable \f[B]obase\f[R].
+This is a \f[B]non-portable extension\f[R].
+.IP "13." 4
+\f[B]maxscale()\f[R]: The max allowable \f[B]scale\f[R].
+This is a \f[B]non-portable extension\f[R].
+.SS Numbers
+.PP
+Numbers are strings made up of digits, uppercase letters, and at most
+\f[B]1\f[R] period for a radix.
+Numbers can have up to \f[B]BC_NUM_MAX\f[R] digits.
+Uppercase letters are equal to \f[B]9\f[R] + 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]).
+If a digit or letter makes no sense with the current value of
+\f[B]ibase\f[R], they are set to the value of the highest valid digit in
+\f[B]ibase\f[R].
+.PP
+Single-character numbers (i.e., \f[B]A\f[R] alone) take the value that
+they would have if they were valid digits, regardless of the value of
+\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].
+.SS Operators
+.PP
+The following arithmetic and logical operators can be used.
+They are listed in order of decreasing precedence.
+Operators in the same group have the same precedence.
+.TP
+\f[B]++\f[R] \f[B]\[en]\f[R]
+Type: Prefix and Postfix
+.RS
+.PP
+Associativity: None
+.PP
+Description: \f[B]increment\f[R], \f[B]decrement\f[R]
+.RE
+.TP
+\f[B]-\f[R] \f[B]!\f[R]
+Type: Prefix
+.RS
+.PP
+Associativity: None
+.PP
+Description: \f[B]negation\f[R], \f[B]boolean not\f[R]
+.RE
+.TP
+\f[B]\[ha]\f[R]
+Type: Binary
+.RS
+.PP
+Associativity: Right
+.PP
+Description: \f[B]power\f[R]
+.RE
+.TP
+\f[B]*\f[R] \f[B]/\f[R] \f[B]%\f[R]
+Type: Binary
+.RS
+.PP
+Associativity: Left
+.PP
+Description: \f[B]multiply\f[R], \f[B]divide\f[R], \f[B]modulus\f[R]
+.RE
+.TP
+\f[B]+\f[R] \f[B]-\f[R]
+Type: Binary
+.RS
+.PP
+Associativity: Left
+.PP
+Description: \f[B]add\f[R], \f[B]subtract\f[R]
+.RE
+.TP
+\f[B]=\f[R] \f[B]+=\f[R] \f[B]-=\f[R] \f[B]*=\f[R] \f[B]/=\f[R] \f[B]%=\f[R] \f[B]\[ha]=\f[R]
+Type: Binary
+.RS
+.PP
+Associativity: Right
+.PP
+Description: \f[B]assignment\f[R]
+.RE
+.TP
+\f[B]==\f[R] \f[B]<=\f[R] \f[B]>=\f[R] \f[B]!=\f[R] \f[B]<\f[R] \f[B]>\f[R]
+Type: Binary
+.RS
+.PP
+Associativity: Left
+.PP
+Description: \f[B]relational\f[R]
+.RE
+.TP
+\f[B]&&\f[R]
+Type: Binary
+.RS
+.PP
+Associativity: Left
+.PP
+Description: \f[B]boolean and\f[R]
+.RE
+.TP
+\f[B]||\f[R]
+Type: Binary
+.RS
+.PP
+Associativity: Left
+.PP
+Description: \f[B]boolean or\f[R]
+.RE
+.PP
+The operators will be described in more detail below.
+.TP
+\f[B]++\f[R] \f[B]\[en]\f[R]
+The prefix and postfix \f[B]increment\f[R] and \f[B]decrement\f[R]
+operators behave exactly like they would in C.
+They require a named expression (see the \f[I]Named Expressions\f[R]
+subsection) as an operand.
+.RS
+.PP
+The prefix versions of these operators are more efficient; use them
+where possible.
+.RE
+.TP
+\f[B]-\f[R]
+The \f[B]negation\f[R] operator returns \f[B]0\f[R] if a user attempts
+to negate any expression with the value \f[B]0\f[R].
+Otherwise, a copy of the expression with its sign flipped is returned.
+.TP
+\f[B]!\f[R]
+The \f[B]boolean not\f[R] operator returns \f[B]1\f[R] if the expression
+is \f[B]0\f[R], or \f[B]0\f[R] otherwise.
+.RS
+.PP
+This is a \f[B]non-portable extension\f[R].
+.RE
+.TP
+\f[B]\[ha]\f[R]
+The \f[B]power\f[R] operator (not the \f[B]exclusive or\f[R] operator,
+as it would be in C) takes two expressions and raises the first to the
+power of the value of the second.
+The \f[I]scale\f[R] of the result is equal to \f[B]scale\f[R].
+.RS
+.PP
+The second expression must be an integer (no \f[I]scale\f[R]), and if it
+is negative, the first value must be non-zero.
+.RE
+.TP
+\f[B]*\f[R]
+The \f[B]multiply\f[R] operator takes two expressions, multiplies them,
+and returns the product.
+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 \f[B]divide\f[R] operator takes two expressions, divides them, and
+returns the quotient.
+The \f[I]scale\f[R] of the result shall be the value of \f[B]scale\f[R].
+.RS
+.PP
+The second expression must be non-zero.
+.RE
+.TP
+\f[B]%\f[R]
+The \f[B]modulus\f[R] operator takes two expressions, \f[B]a\f[R] and
+\f[B]b\f[R], and evaluates them by 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].
+.RS
+.PP
+The second expression must be non-zero.
+.RE
+.TP
+\f[B]+\f[R]
+The \f[B]add\f[R] operator takes two expressions, \f[B]a\f[R] and
+\f[B]b\f[R], and returns the sum, with a \f[I]scale\f[R] equal to the
+max of the \f[I]scale\f[R]s of \f[B]a\f[R] and \f[B]b\f[R].
+.TP
+\f[B]-\f[R]
+The \f[B]subtract\f[R] operator takes two expressions, \f[B]a\f[R] and
+\f[B]b\f[R], and returns the difference, with a \f[I]scale\f[R] equal to
+the max of the \f[I]scale\f[R]s of \f[B]a\f[R] and \f[B]b\f[R].
+.TP
+\f[B]=\f[R] \f[B]+=\f[R] \f[B]-=\f[R] \f[B]*=\f[R] \f[B]/=\f[R] \f[B]%=\f[R] \f[B]\[ha]=\f[R]
+The \f[B]assignment\f[R] operators take two expressions, \f[B]a\f[R] and
+\f[B]b\f[R] where \f[B]a\f[R] is a named expression (see the \f[I]Named
+Expressions\f[R] subsection).
+.RS
+.PP
+For \f[B]=\f[R], \f[B]b\f[R] is copied and the result is assigned to
+\f[B]a\f[R].
+For all others, \f[B]a\f[R] and \f[B]b\f[R] are applied as operands to
+the corresponding arithmetic operator and the result is assigned to
+\f[B]a\f[R].
+.RE
+.TP
+\f[B]==\f[R] \f[B]<=\f[R] \f[B]>=\f[R] \f[B]!=\f[R] \f[B]<\f[R] \f[B]>\f[R]
+The \f[B]relational\f[R] operators compare two expressions, \f[B]a\f[R]
+and \f[B]b\f[R], and if the relation holds, according to C language
+semantics, the result is \f[B]1\f[R].
+Otherwise, it is \f[B]0\f[R].
+.RS
+.PP
+Note that unlike in C, these operators have a lower precedence than the
+\f[B]assignment\f[R] operators, which means that \f[B]a=b>c\f[R] is
+interpreted as \f[B](a=b)>c\f[R].
+.PP
+Also, unlike the
+standard (https://pubs.opengroup.org/onlinepubs/9699919799/utilities/bc.html)
+requires, these operators can appear anywhere any other expressions can
+be used.
+This allowance is a \f[B]non-portable extension\f[R].
+.RE
+.TP
+\f[B]&&\f[R]
+The \f[B]boolean and\f[R] operator takes two expressions and returns
+\f[B]1\f[R] if both expressions are non-zero, \f[B]0\f[R] otherwise.
+.RS
+.PP
+This 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]||\f[R]
+The \f[B]boolean or\f[R] operator takes two expressions and returns
+\f[B]1\f[R] if one of the expressions is non-zero, \f[B]0\f[R]
+otherwise.
+.RS
+.PP
+This is \f[I]not\f[R] a short-circuit operator.
+.PP
+This is a \f[B]non-portable extension\f[R].
+.RE
+.SS Statements
+.PP
+The following items are statements:
+.IP " 1." 4
+\f[B]E\f[R]
+.IP " 2." 4
+\f[B]{\f[R] \f[B]S\f[R] \f[B];\f[R] \&... \f[B];\f[R] \f[B]S\f[R]
+\f[B]}\f[R]
+.IP " 3." 4
+\f[B]if\f[R] \f[B](\f[R] \f[B]E\f[R] \f[B])\f[R] \f[B]S\f[R]
+.IP " 4." 4
+\f[B]if\f[R] \f[B](\f[R] \f[B]E\f[R] \f[B])\f[R] \f[B]S\f[R]
+\f[B]else\f[R] \f[B]S\f[R]
+.IP " 5." 4
+\f[B]while\f[R] \f[B](\f[R] \f[B]E\f[R] \f[B])\f[R] \f[B]S\f[R]
+.IP " 6." 4
+\f[B]for\f[R] \f[B](\f[R] \f[B]E\f[R] \f[B];\f[R] \f[B]E\f[R]
+\f[B];\f[R] \f[B]E\f[R] \f[B])\f[R] \f[B]S\f[R]
+.IP " 7." 4
+An empty statement
+.IP " 8." 4
+\f[B]break\f[R]
+.IP " 9." 4
+\f[B]continue\f[R]
+.IP "10." 4
+\f[B]quit\f[R]
+.IP "11." 4
+\f[B]halt\f[R]
+.IP "12." 4
+\f[B]limits\f[R]
+.IP "13." 4
+A string of characters, enclosed in double quotes
+.IP "14." 4
+\f[B]print\f[R] \f[B]E\f[R] \f[B],\f[R] \&... \f[B],\f[R] \f[B]E\f[R]
+.IP "15." 4
+\f[B]I()\f[R], \f[B]I(E)\f[R], \f[B]I(E, E)\f[R], and so on, where
+\f[B]I\f[R] is an identifier for a \f[B]void\f[R] function (see the
+\f[I]Void Functions\f[R] subsection of the \f[B]FUNCTIONS\f[R] section).
+The \f[B]E\f[R] argument(s) may also be arrays of the form
+\f[B]I[]\f[R], which will automatically be turned into array references
+(see the \f[I]Array References\f[R] subsection of the
+\f[B]FUNCTIONS\f[R] section) if the corresponding parameter in the
+function definition is an array reference.
+.PP
+Numbers 4, 9, 11, 12, 14, and 15 are \f[B]non-portable extensions\f[R].
+.PP
+Also, as a \f[B]non-portable extension\f[R], any or all of the
+expressions in the header of a for loop may be omitted.
+If the condition (second expression) is omitted, it is assumed to be a
+constant \f[B]1\f[R].
+.PP
+The \f[B]break\f[R] statement causes a loop to stop iterating and resume
+execution immediately following a loop.
+This is only allowed in loops.
+.PP
+The \f[B]continue\f[R] statement causes a loop iteration to stop early
+and returns to the start of the loop, including testing the loop
+condition.
+This is only allowed in loops.
+.PP
+The \f[B]if\f[R] \f[B]else\f[R] statement does the same thing as in C.
+.PP
+The \f[B]quit\f[R] statement causes bc(1) to quit, even if it is on a
+branch that will not be executed (it is a compile-time command).
+.PP
+The \f[B]halt\f[R] statement causes bc(1) to quit, if it is executed.
+(Unlike \f[B]quit\f[R] if it is on a branch of an \f[B]if\f[R] statement
+that is not executed, bc(1) does not quit.)
+.PP
+The \f[B]limits\f[R] statement prints the limits that this bc(1) is
+subject to.
+This is like the \f[B]quit\f[R] statement in that it is a compile-time
+command.
+.PP
+An expression by itself is evaluated and printed, followed by a newline.
+.SS Print Statement
+.PP
+The \[lq]expressions\[rq] in a \f[B]print\f[R] statement may also be
+strings.
+If they are, there are backslash escape sequences that are interpreted
+specially.
+What those sequences are, and what they cause to be printed, are shown
+below:
+.PP
+.TS
+tab(@);
+l l.
+T{
+\f[B]\[rs]a\f[R]
+T}@T{
+\f[B]\[rs]a\f[R]
+T}
+T{
+\f[B]\[rs]b\f[R]
+T}@T{
+\f[B]\[rs]b\f[R]
+T}
+T{
+\f[B]\[rs]\[rs]\f[R]
+T}@T{
+\f[B]\[rs]\f[R]
+T}
+T{
+\f[B]\[rs]e\f[R]
+T}@T{
+\f[B]\[rs]\f[R]
+T}
+T{
+\f[B]\[rs]f\f[R]
+T}@T{
+\f[B]\[rs]f\f[R]
+T}
+T{
+\f[B]\[rs]n\f[R]
+T}@T{
+\f[B]\[rs]n\f[R]
+T}
+T{
+\f[B]\[rs]q\f[R]
+T}@T{
+\f[B]\[dq]\f[R]
+T}
+T{
+\f[B]\[rs]r\f[R]
+T}@T{
+\f[B]\[rs]r\f[R]
+T}
+T{
+\f[B]\[rs]t\f[R]
+T}@T{
+\f[B]\[rs]t\f[R]
+T}
+.TE
+.PP
+Any other character following a backslash causes the backslash and
+character to be printed as-is.
+.PP
+Any non-string expression in a print statement shall be assigned to
+\f[B]last\f[R], like any other expression that is printed.
+.SS Order of Evaluation
+.PP
+All expressions in a statment are evaluated left to right, except as
+necessary to maintain order of operations.
+This means, for example, assuming that \f[B]i\f[R] is equal to
+\f[B]0\f[R], in the expression
+.IP
+.nf
+\f[C]
+a[i++] = i++
+\f[R]
+.fi
+.PP
+the first (or 0th) element of \f[B]a\f[R] is set to \f[B]1\f[R], and
+\f[B]i\f[R] is equal to \f[B]2\f[R] at the end of the expression.
+.PP
+This includes function arguments.
+Thus, assuming \f[B]i\f[R] is equal to \f[B]0\f[R], this means that in
+the expression
+.IP
+.nf
+\f[C]
+x(i++, i++)
+\f[R]
+.fi
+.PP
+the first argument passed to \f[B]x()\f[R] is \f[B]0\f[R], and the
+second argument is \f[B]1\f[R], while \f[B]i\f[R] is equal to
+\f[B]2\f[R] before the function starts executing.
+.SH FUNCTIONS
+.PP
+Function definitions are as follows:
+.IP
+.nf
+\f[C]
+define I(I,...,I){
+ auto I,...,I
+ S;...;S
+ return(E)
+}
+\f[R]
+.fi
+.PP
+Any \f[B]I\f[R] in the parameter list or \f[B]auto\f[R] list may be
+replaced with \f[B]I[]\f[R] to make a parameter or \f[B]auto\f[R] var an
+array, and any \f[B]I\f[R] in the parameter list may be replaced with
+\f[B]*I[]\f[R] to make a parameter an array reference.
+Callers of functions that take array references should not put an
+asterisk in the call; they must be called with just \f[B]I[]\f[R] like
+normal array parameters and will be automatically converted into
+references.
+.PP
+As a \f[B]non-portable extension\f[R], the opening brace of a
+\f[B]define\f[R] statement may appear on the next line.
+.PP
+As a \f[B]non-portable extension\f[R], the return statement may also be
+in one of the following forms:
+.IP "1." 3
+\f[B]return\f[R]
+.IP "2." 3
+\f[B]return\f[R] \f[B](\f[R] \f[B])\f[R]
+.IP "3." 3
+\f[B]return\f[R] \f[B]E\f[R]
+.PP
+The first two, or not specifying a \f[B]return\f[R] statement, is
+equivalent to \f[B]return (0)\f[R], unless the function is a
+\f[B]void\f[R] function (see the \f[I]Void Functions\f[R] subsection
+below).
+.SS Void Functions
+.PP
+Functions can also be \f[B]void\f[R] functions, defined as follows:
+.IP
+.nf
+\f[C]
+define void I(I,...,I){
+ auto I,...,I
+ S;...;S
+ return
+}
+\f[R]
+.fi
+.PP
+They can only be used as standalone expressions, where such an
+expression would be printed alone, except in a print statement.
+.PP
+Void functions can only use the first two \f[B]return\f[R] statements
+listed above.
+They can also omit the return statement entirely.
+.PP
+The word \[lq]void\[rq] is not treated as a keyword; it is still
+possible to have variables, arrays, and functions named \f[B]void\f[R].
+The word \[lq]void\[rq] is only treated specially right after the
+\f[B]define\f[R] keyword.
+.PP
+This is a \f[B]non-portable extension\f[R].
+.SS Array References
+.PP
+For any array in the parameter list, if the array is declared in the
+form
+.IP
+.nf
+\f[C]
+*I[]
+\f[R]
+.fi
+.PP
+it is a \f[B]reference\f[R].
+Any changes to the array in the function are reflected, when the
+function returns, to the array that was passed in.
+.PP
+Other than this, all function arguments are passed by value.
+.PP
+This is a \f[B]non-portable extension\f[R].
+.SH LIBRARY
+.PP
+All of the functions below are available when the \f[B]-l\f[R] or
+\f[B]\[en]mathlib\f[R] command-line flags are given.
+.SS Standard Library
+.PP
+The
+standard (https://pubs.opengroup.org/onlinepubs/9699919799/utilities/bc.html)
+defines the following functions for the math library:
+.TP
+\f[B]s(x)\f[R]
+Returns the sine of \f[B]x\f[R], which is assumed to be in radians.
+.RS
+.PP
+This is a transcendental function (see the \f[I]Transcendental
+Functions\f[R] subsection below).
+.RE
+.TP
+\f[B]c(x)\f[R]
+Returns the cosine of \f[B]x\f[R], which is assumed to be in radians.
+.RS
+.PP
+This is a transcendental function (see the \f[I]Transcendental
+Functions\f[R] subsection below).
+.RE
+.TP
+\f[B]a(x)\f[R]
+Returns the arctangent of \f[B]x\f[R], in radians.
+.RS
+.PP
+This is a transcendental function (see the \f[I]Transcendental
+Functions\f[R] subsection below).
+.RE
+.TP
+\f[B]l(x)\f[R]
+Returns the natural logarithm of \f[B]x\f[R].
+.RS
+.PP
+This is a transcendental function (see the \f[I]Transcendental
+Functions\f[R] subsection below).
+.RE
+.TP
+\f[B]e(x)\f[R]
+Returns the mathematical constant \f[B]e\f[R] raised to the power of
+\f[B]x\f[R].
+.RS
+.PP
+This is a transcendental function (see the \f[I]Transcendental
+Functions\f[R] subsection below).
+.RE
+.TP
+\f[B]j(x, n)\f[R]
+Returns the bessel integer order \f[B]n\f[R] (truncated) of \f[B]x\f[R].
+.RS
+.PP
+This is a transcendental function (see the \f[I]Transcendental
+Functions\f[R] subsection below).
+.RE
+.SS Transcendental Functions
+.PP
+All transcendental functions can return slightly inaccurate results (up
+to 1 ULP (https://en.wikipedia.org/wiki/Unit_in_the_last_place)).
+This is unavoidable, and this
+article (https://people.eecs.berkeley.edu/~wkahan/LOG10HAF.TXT) explains
+why it is impossible and unnecessary to calculate exact results for the
+transcendental functions.
+.PP
+Because of the possible inaccuracy, I recommend that users call those
+functions with the precision (\f[B]scale\f[R]) set to at least 1 higher
+than is necessary.
+If exact results are \f[I]absolutely\f[R] required, users can double the
+precision (\f[B]scale\f[R]) and then truncate.
+.PP
+The transcendental functions in the standard math library are:
+.IP \[bu] 2
+\f[B]s(x)\f[R]
+.IP \[bu] 2
+\f[B]c(x)\f[R]
+.IP \[bu] 2
+\f[B]a(x)\f[R]
+.IP \[bu] 2
+\f[B]l(x)\f[R]
+.IP \[bu] 2
+\f[B]e(x)\f[R]
+.IP \[bu] 2
+\f[B]j(x, n)\f[R]
+.SH RESET
+.PP
+When bc(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 functions 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 functions returned) is skipped.
+.PP
+Thus, when bc(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.
+.PP
+Note that this reset behavior is different from the GNU bc(1), which
+attempts to start executing the statement right after the one that
+caused an error.
+.SH PERFORMANCE
+.PP
+Most bc(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 bc(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]BC_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]BC_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]BC_BASE_DIGS\f[R].
+.PP
+The actual values of \f[B]BC_LONG_BIT\f[R] and \f[B]BC_BASE_DIGS\f[R]
+can be queried with the \f[B]limits\f[R] statement.
+.PP
+In addition, this bc(1) uses an even larger integer for overflow
+checking.
+This integer type depends on the value of \f[B]BC_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 bc(1):
+.TP
+\f[B]BC_LONG_BIT\f[R]
+The number of bits in the \f[B]long\f[R] type in the environment where
+bc(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]BC_BASE_DIGS\f[R]
+The number of decimal digits per large integer (see the
+\f[B]PERFORMANCE\f[R] section).
+Depends on \f[B]BC_LONG_BIT\f[R].
+.TP
+\f[B]BC_BASE_POW\f[R]
+The max decimal number that each large integer can store (see
+\f[B]BC_BASE_DIGS\f[R]) plus \f[B]1\f[R].
+Depends on \f[B]BC_BASE_DIGS\f[R].
+.TP
+\f[B]BC_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]BC_LONG_BIT\f[R].
+.TP
+\f[B]BC_BASE_MAX\f[R]
+The maximum output base.
+Set at \f[B]BC_BASE_POW\f[R].
+.TP
+\f[B]BC_DIM_MAX\f[R]
+The maximum size of arrays.
+Set at \f[B]SIZE_MAX-1\f[R].
+.TP
+\f[B]BC_SCALE_MAX\f[R]
+The maximum \f[B]scale\f[R].
+Set at \f[B]BC_OVERFLOW_MAX-1\f[R].
+.TP
+\f[B]BC_STRING_MAX\f[R]
+The maximum length of strings.
+Set at \f[B]BC_OVERFLOW_MAX-1\f[R].
+.TP
+\f[B]BC_NAME_MAX\f[R]
+The maximum length of identifiers.
+Set at \f[B]BC_OVERFLOW_MAX-1\f[R].
+.TP
+\f[B]BC_NUM_MAX\f[R]
+The maximum length of a number (in decimal digits), which includes
+digits after the decimal point.
+Set at \f[B]BC_OVERFLOW_MAX-1\f[R].
+.TP
+Exponent
+The maximum allowable exponent (positive or negative).
+Set at \f[B]BC_OVERFLOW_MAX\f[R].
+.TP
+Number of vars
+The maximum number of vars/arrays.
+Set at \f[B]SIZE_MAX-1\f[R].
+.PP
+The actual values can be queried with the \f[B]limits\f[R] statement.
+.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
+bc(1) recognizes the following environment variables:
+.TP
+\f[B]POSIXLY_CORRECT\f[R]
+If this variable exists (no matter the contents), bc(1) behaves as if
+the \f[B]-s\f[R] option was given.
+.TP
+\f[B]BC_ENV_ARGS\f[R]
+This is another way to give command-line arguments to bc(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]BC_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 bc(1) runs.
+.RS
+.PP
+The code that parses \f[B]BC_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 bc file.bc\[rq]\f[R]
+will be correctly parsed, but the string \f[B]\[lq]/home/gavin/some
+\[dq]bc\[dq] file.bc\[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]\[rq]some `bc' file.bc\[dq]\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]BC_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]BC_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]), bc(1) will output lines to that length,
+including the backslash (\f[B]\[rs]\f[R]).
+The default line length is \f[B]70\f[R].
+.SH EXIT STATUS
+.PP
+bc(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, attempting to convert a negative number to a hardware
+integer, overflow when converting a number to a hardware integer, 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]) operator and the corresponding assignment
+operator.
+.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, using a token
+where it is invalid, giving an invalid expression, giving an invalid
+print statement, giving an invalid function definition, attempting to
+assign to an expression that is not a named expression (see the
+\f[I]Named Expressions\f[R] subsection of the \f[B]SYNTAX\f[R] section),
+giving an invalid \f[B]auto\f[R] list, having a duplicate
+\f[B]auto\f[R]/function parameter, failing to find the end of a code
+block, attempting to return a value from a \f[B]void\f[R] function,
+attempting to use a variable as a reference, and using any extensions
+when the option \f[B]-s\f[R] or any equivalents were given.
+.RE
+.TP
+\f[B]3\f[R]
+A runtime error occurred.
+.RS
+.PP
+Runtime errors include assigning an invalid number to \f[B]ibase\f[R],
+\f[B]obase\f[R], or \f[B]scale\f[R]; give 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, passing the wrong number of
+arguments to functions, attempting to call an undefined function, and
+attempting to use a \f[B]void\f[R] function call as a value in an
+expression.
+.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 (bc(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, bc(1)
+always exits and returns \f[B]4\f[R], no matter what mode bc(1) is in.
+.PP
+The other statuses will only be returned when bc(1) is not in
+interactive mode (see the \f[B]INTERACTIVE MODE\f[R] section), since
+bc(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]\[en]interactive\f[R] option.
+.PP
+These exit statuses allow bc(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]\[en]interactive\f[R] option.
+.SH INTERACTIVE MODE
+.PP
+Per the
+standard (https://pubs.opengroup.org/onlinepubs/9699919799/utilities/bc.html),
+bc(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]\[en]interactive\f[R] option can turn it on in other cases.
+.PP
+In interactive mode, bc(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.
+.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, bc(1) turns on \[lq]TTY mode.\[rq]
+.PP
+TTY mode is different from interactive mode because interactive mode is
+required in the bc(1)
+specification (https://pubs.opengroup.org/onlinepubs/9699919799/utilities/bc.html),
+and interactive mode requires only \f[B]stdin\f[R] and \f[B]stdout\f[R]
+to be connected to a terminal.
+.SH SIGNAL HANDLING
+.PP
+Sending a \f[B]SIGINT\f[R] will cause bc(1) to stop execution of the
+current input.
+If bc(1) is in TTY mode (see the \f[B]TTY MODE\f[R] section), it will
+reset (see the \f[B]RESET\f[R] section).
+Otherwise, it will clean up and exit.
+.PP
+Note that \[lq]current input\[rq] can mean one of two things.
+If bc(1) is processing input from \f[B]stdin\f[R] in TTY mode, it will
+ask for more input.
+If bc(1) is processing input from a file in TTY 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 bc(1) as it is
+executing a file, it can seem as though bc(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
+bc(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 bc(1) to clean up and
+exit, and it uses the default handler for all other signals.
+.SH SEE ALSO
+.PP
+dc(1)
+.SH STANDARDS
+.PP
+bc(1) is compliant with the IEEE Std 1003.1-2017
+(\[lq]POSIX.1-2017\[rq]) (https://pubs.opengroup.org/onlinepubs/9699919799/utilities/bc.html)
+specification.
+The flags \f[B]-efghiqsvVw\f[R], all long options, and the extensions
+noted above are extensions to that specification.
+.PP
+Note that the specification explicitly says that bc(1) only accepts
+numbers that use a period (\f[B].\f[R]) as a radix point, regardless of
+the value of \f[B]LC_NUMERIC\f[R].
+.SH BUGS
+.PP
+None are known.
+Report bugs at https://git.yzena.com/gavin/bc.
+.SH AUTHORS
+.PP
+Gavin D.
+Howard <gavin@yzena.com> and contributors.