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1290 lines
45 KiB
1290 lines
45 KiB
<!---
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SPDX-License-Identifier: BSD-2-Clause
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Copyright (c) 2018-2021 Gavin D. Howard and contributors.
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions are met:
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* Redistributions of source code must retain the above copyright notice, this
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list of conditions and the following disclaimer.
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* Redistributions in binary form must reproduce the above copyright notice,
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this list of conditions and the following disclaimer in the documentation
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and/or other materials provided with the distribution.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
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LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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POSSIBILITY OF SUCH DAMAGE.
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-->
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# Name
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dc - arbitrary-precision decimal reverse-Polish notation calculator
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# SYNOPSIS
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**dc** [**-hiPRvVx**] [**-\-version**] [**-\-help**] [**-\-interactive**] [**-\-no-prompt**] [**-\-no-read-prompt**] [**-\-extended-register**] [**-e** *expr*] [**-\-expression**=*expr*...] [**-f** *file*...] [**-\-file**=*file*...] [*file*...]
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# DESCRIPTION
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dc(1) is an arbitrary-precision calculator. It uses a stack (reverse Polish
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notation) to store numbers and results of computations. Arithmetic operations
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pop arguments off of the stack and push the results.
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If no files are given on the command-line as extra arguments (i.e., not as
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**-f** or **-\-file** arguments), then dc(1) reads from **stdin**. Otherwise,
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those files are processed, and dc(1) will then exit.
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This is different from the dc(1) on OpenBSD and possibly other dc(1)
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implementations, where **-e** (**-\-expression**) and **-f** (**-\-file**)
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arguments cause dc(1) to execute them and exit. The reason for this is that this
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dc(1) allows users to set arguments in the environment variable **DC_ENV_ARGS**
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(see the **ENVIRONMENT VARIABLES** section). Any expressions given on the
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command-line should be used to set up a standard environment. For example, if a
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user wants the **scale** always set to **10**, they can set **DC_ENV_ARGS** to
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**-e 10k**, and this dc(1) will always start with a **scale** of **10**.
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If users want to have dc(1) exit after processing all input from **-e** and
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**-f** arguments (and their equivalents), then they can just simply add **-e q**
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as the last command-line argument or define the environment variable
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**DC_EXPR_EXIT**.
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# OPTIONS
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The following are the options that dc(1) accepts.
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**-h**, **-\-help**
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: Prints a usage message and quits.
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**-v**, **-V**, **-\-version**
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: Print the version information (copyright header) and exit.
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**-i**, **-\-interactive**
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: Forces interactive mode. (See the **INTERACTIVE MODE** section.)
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This is a **non-portable extension**.
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**-P**, **-\-no-prompt**
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{{ A E H N EH EN HN EHN }}
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: Disables the prompt in TTY mode. (The prompt is only enabled in TTY mode.
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See the **TTY MODE** section.) This is mostly for those users that do not
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want a prompt or are not used to having them in dc(1). Most of those users
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would want to put this option in **DC_ENV_ARGS**.
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{{ end }}
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{{ P EP HP NP EHP ENP HNP EHNP }}
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: This option is a no-op.
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{{ end }}
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This is a **non-portable extension**.
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**-R**, **-\-no-read-prompt**
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{{ A E H N EH EN HN EHN }}
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: Disables the read prompt in TTY mode. (The read prompt is only enabled in
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TTY mode. See the **TTY MODE** section.) This is mostly for those users that
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do not want a read prompt or are not used to having them in dc(1). Most of
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those users would want to put this option in **BC_ENV_ARGS** (see the
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**ENVIRONMENT VARIABLES** section). This option is also useful in hash bang
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lines of dc(1) scripts that prompt for user input.
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This option does not disable the regular prompt because the read prompt is
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only used when the **?** command is used.
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{{ end }}
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{{ P EP HP NP EHP ENP HNP EHNP }}
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: This option is a no-op.
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{{ end }}
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This is a **non-portable extension**.
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**-x** **-\-extended-register**
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: Enables extended register mode. See the *Extended Register Mode* subsection
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of the **REGISTERS** section for more information.
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This is a **non-portable extension**.
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**-e** *expr*, **-\-expression**=*expr*
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: Evaluates *expr*. If multiple expressions are given, they are evaluated in
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order. If files are given as well (see below), the expressions and files are
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evaluated in the order given. This means that if a file is given before an
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expression, the file is read in and evaluated first.
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If this option is given on the command-line (i.e., not in **DC_ENV_ARGS**,
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see the **ENVIRONMENT VARIABLES** section), then after processing all
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expressions and files, dc(1) will exit, unless **-** (**stdin**) was given
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as an argument at least once to **-f** or **-\-file**, whether on the
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command-line or in **DC_ENV_ARGS**. However, if any other **-e**,
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**-\-expression**, **-f**, or **-\-file** arguments are given after **-f-**
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or equivalent is given, dc(1) will give a fatal error and exit.
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This is a **non-portable extension**.
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**-f** *file*, **-\-file**=*file*
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: Reads in *file* and evaluates it, line by line, as though it were read
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through **stdin**. If expressions are also given (see above), the
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expressions are evaluated in the order given.
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If this option is given on the command-line (i.e., not in **DC_ENV_ARGS**,
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see the **ENVIRONMENT VARIABLES** section), then after processing all
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expressions and files, dc(1) will exit, unless **-** (**stdin**) was given
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as an argument at least once to **-f** or **-\-file**. However, if any other
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**-e**, **-\-expression**, **-f**, or **-\-file** arguments are given after
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**-f-** or equivalent is given, dc(1) will give a fatal error and exit.
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This is a **non-portable extension**.
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All long options are **non-portable extensions**.
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# STDOUT
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Any non-error output is written to **stdout**. In addition, if history (see the
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**HISTORY** section) and the prompt (see the **TTY MODE** section) are enabled,
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both are output to **stdout**.
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**Note**: Unlike other dc(1) implementations, this dc(1) will issue a fatal
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error (see the **EXIT STATUS** section) if it cannot write to **stdout**, so if
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**stdout** is closed, as in **dc <file> >&-**, it will quit with an error. This
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is done so that dc(1) can report problems when **stdout** is redirected to a
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file.
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If there are scripts that depend on the behavior of other dc(1) implementations,
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it is recommended that those scripts be changed to redirect **stdout** to
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**/dev/null**.
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# STDERR
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Any error output is written to **stderr**.
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**Note**: Unlike other dc(1) implementations, this dc(1) will issue a fatal
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error (see the **EXIT STATUS** section) if it cannot write to **stderr**, so if
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**stderr** is closed, as in **dc <file> 2>&-**, it will quit with an error. This
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is done so that dc(1) can exit with an error code when **stderr** is redirected
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to a file.
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If there are scripts that depend on the behavior of other dc(1) implementations,
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it is recommended that those scripts be changed to redirect **stderr** to
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**/dev/null**.
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# SYNTAX
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Each item in the input source code, either a number (see the **NUMBERS**
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section) or a command (see the **COMMANDS** section), is processed and executed,
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in order. Input is processed immediately when entered.
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**ibase** is a register (see the **REGISTERS** section) that determines how to
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interpret constant numbers. It is the "input" base, or the number base used for
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interpreting input numbers. **ibase** is initially **10**. The max allowable
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value for **ibase** is **16**. The min allowable value for **ibase** is **2**.
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The max allowable value for **ibase** can be queried in dc(1) programs with the
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**T** command.
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**obase** is a register (see the **REGISTERS** section) that determines how to
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output results. It is the "output" base, or the number base used for outputting
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numbers. **obase** is initially **10**. The max allowable value for **obase** is
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**DC_BASE_MAX** and can be queried with the **U** command. The min allowable
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{{ A H N P HN HP NP HNP }}
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value for **obase** is **0**. If **obase** is **0**, values are output in
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scientific notation, and if **obase** is **1**, values are output in engineering
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notation. Otherwise, values are output in the specified base.
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Outputting in scientific and engineering notations are **non-portable
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extensions**.
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{{ end }}
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{{ E EH EN EP EHN EHP ENP EHNP }}
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value for **obase** is **2**. Values are output in the specified base.
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{{ end }}
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The *scale* of an expression is the number of digits in the result of the
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expression right of the decimal point, and **scale** is a register (see the
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**REGISTERS** section) that sets the precision of any operations (with
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exceptions). **scale** is initially **0**. **scale** cannot be negative. The max
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allowable value for **scale** can be queried in dc(1) programs with the **V**
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command.
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{{ A H N P HN HP NP HNP }}
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**seed** is a register containing the current seed for the pseudo-random number
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generator. If the current value of **seed** is queried and stored, then if it is
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assigned to **seed** later, the pseudo-random number generator is guaranteed to
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produce the same sequence of pseudo-random numbers that were generated after the
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value of **seed** was first queried.
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Multiple values assigned to **seed** can produce the same sequence of
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pseudo-random numbers. Likewise, when a value is assigned to **seed**, it is not
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guaranteed that querying **seed** immediately after will return the same value.
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In addition, the value of **seed** will change after any call to the **'**
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command or the **"** command that does not get receive a value of **0** or
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**1**. The maximum integer returned by the **'** command can be queried with the
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**W** command.
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**Note**: The values returned by the pseudo-random number generator with the
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**'** and **"** commands are guaranteed to **NOT** be cryptographically secure.
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This is a consequence of using a seeded pseudo-random number generator. However,
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they *are* guaranteed to be reproducible with identical **seed** values. This
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means that the pseudo-random values from dc(1) should only be used where a
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reproducible stream of pseudo-random numbers is *ESSENTIAL*. In any other case,
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use a non-seeded pseudo-random number generator.
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The pseudo-random number generator, **seed**, and all associated operations are
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**non-portable extensions**.
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{{ end }}
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## Comments
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Comments go from **#** until, and not including, the next newline. This is a
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**non-portable extension**.
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# NUMBERS
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Numbers are strings made up of digits, uppercase letters up to **F**, and at
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most **1** period for a radix. Numbers can have up to **DC_NUM_MAX** digits.
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Uppercase letters are equal to **9** + their position in the alphabet (i.e.,
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**A** equals **10**, or **9+1**). If a digit or letter makes no sense with the
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current value of **ibase**, they are set to the value of the highest valid digit
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in **ibase**.
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Single-character numbers (i.e., **A** alone) take the value that they would have
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if they were valid digits, regardless of the value of **ibase**. This means that
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**A** alone always equals decimal **10** and **F** alone always equals decimal
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**15**.
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{{ A H N P HN HP NP HNP }}
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In addition, dc(1) accepts numbers in scientific notation. These have the form
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**\<number\>e\<integer\>**. The exponent (the portion after the **e**) must be
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an integer. An example is **1.89237e9**, which is equal to **1892370000**.
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Negative exponents are also allowed, so **4.2890e_3** is equal to **0.0042890**.
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**WARNING**: Both the number and the exponent in scientific notation are
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interpreted according to the current **ibase**, but the number is still
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multiplied by **10\^exponent** regardless of the current **ibase**. For example,
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if **ibase** is **16** and dc(1) is given the number string **FFeA**, the
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resulting decimal number will be **2550000000000**, and if dc(1) is given the
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number string **10e_4**, the resulting decimal number will be **0.0016**.
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Accepting input as scientific notation is a **non-portable extension**.
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{{ end }}
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# COMMANDS
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The valid commands are listed below.
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## Printing
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These commands are used for printing.
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{{ A H N P HN HP NP HNP }}
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Note that both scientific notation and engineering notation are available for
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printing numbers. Scientific notation is activated by assigning **0** to
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**obase** using **0o**, and engineering notation is activated by assigning **1**
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to **obase** using **1o**. To deactivate them, just assign a different value to
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**obase**.
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Printing numbers in scientific notation and/or engineering notation is a
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**non-portable extension**.
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{{ end }}
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**p**
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: Prints the value on top of the stack, whether number or string, and prints a
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newline after.
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This does not alter the stack.
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**n**
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: Prints the value on top of the stack, whether number or string, and pops it
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off of the stack.
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**P**
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: Pops a value off the stack.
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If the value is a number, it is truncated and the absolute value of the
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result is printed as though **obase** is **UCHAR_MAX+1** and each digit is
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interpreted as an ASCII character, making it a byte stream.
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If the value is a string, it is printed without a trailing newline.
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This is a **non-portable extension**.
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**f**
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: Prints the entire contents of the stack, in order from newest to oldest,
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without altering anything.
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Users should use this command when they get lost.
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## Arithmetic
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These are the commands used for arithmetic.
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**+**
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: The top two values are popped off the stack, added, and the result is pushed
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onto the stack. The *scale* of the result is equal to the max *scale* of
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both operands.
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**-**
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: The top two values are popped off the stack, subtracted, and the result is
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pushed onto the stack. The *scale* of the result is equal to the max
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*scale* of both operands.
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**\***
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: The top two values are popped off the stack, multiplied, and the result is
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pushed onto the stack. If **a** is the *scale* of the first expression and
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**b** is the *scale* of the second expression, the *scale* of the result
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is equal to **min(a+b,max(scale,a,b))** where **min()** and **max()** return
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the obvious values.
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**/**
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: The top two values are popped off the stack, divided, and the result is
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pushed onto the stack. The *scale* of the result is equal to **scale**.
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The first value popped off of the stack must be non-zero.
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**%**
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: The top two values are popped off the stack, remaindered, and the result is
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pushed onto the stack.
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Remaindering is equivalent to 1) Computing **a/b** to current **scale**, and
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2) Using the result of step 1 to calculate **a-(a/b)\*b** to *scale*
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**max(scale+scale(b),scale(a))**.
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The first value popped off of the stack must be non-zero.
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**~**
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: The top two values are popped off the stack, divided and remaindered, and
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the results (divided first, remainder second) are pushed onto the stack.
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This is equivalent to **x y / x y %** except that **x** and **y** are only
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evaluated once.
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The first value popped off of the stack must be non-zero.
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This is a **non-portable extension**.
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**\^**
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: The top two values are popped off the stack, the second is raised to the
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power of the first, and the result is pushed onto the stack. The *scale* of
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the result is equal to **scale**.
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The first value popped off of the stack must be an integer, and if that
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value is negative, the second value popped off of the stack must be
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non-zero.
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**v**
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: The top value is popped off the stack, its square root is computed, and the
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result is pushed onto the stack. The *scale* of the result is equal to
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**scale**.
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The value popped off of the stack must be non-negative.
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**\_**
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: If this command *immediately* precedes a number (i.e., no spaces or other
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commands), then that number is input as a negative number.
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Otherwise, the top value on the stack is popped and copied, and the copy is
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negated and pushed onto the stack. This behavior without a number is a
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**non-portable extension**.
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**b**
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: The top value is popped off the stack, and if it is zero, it is pushed back
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onto the stack. Otherwise, its absolute value is pushed onto the stack.
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This is a **non-portable extension**.
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**|**
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: The top three values are popped off the stack, a modular exponentiation is
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computed, and the result is pushed onto the stack.
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The first value popped is used as the reduction modulus and must be an
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integer and non-zero. The second value popped is used as the exponent and
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must be an integer and non-negative. The third value popped is the base and
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must be an integer.
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This is a **non-portable extension**.
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{{ A H N P HN HP NP HNP }}
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**\$**
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: The top value is popped off the stack and copied, and the copy is truncated
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and pushed onto the stack.
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This is a **non-portable extension**.
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**\@**
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: The top two values are popped off the stack, and the precision of the second
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is set to the value of the first, whether by truncation or extension.
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The first value popped off of the stack must be an integer and non-negative.
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This is a **non-portable extension**.
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**H**
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: The top two values are popped off the stack, and the second is shifted left
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(radix shifted right) to the value of the first.
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The first value popped off of the stack must be an integer and non-negative.
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This is a **non-portable extension**.
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**h**
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: The top two values are popped off the stack, and the second is shifted right
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(radix shifted left) to the value of the first.
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The first value popped off of the stack must be an integer and non-negative.
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This is a **non-portable extension**.
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{{ end }}
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**G**
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: The top two values are popped off of the stack, they are compared, and a
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**1** is pushed if they are equal, or **0** otherwise.
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This is a **non-portable extension**.
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**N**
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: The top value is popped off of the stack, and if it a **0**, a **1** is
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pushed; otherwise, a **0** is pushed.
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
**(**
|
|
|
|
: The top two values are popped off of the stack, they are compared, and a
|
|
**1** is pushed if the first is less than the second, or **0** otherwise.
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
**{**
|
|
|
|
: The top two values are popped off of the stack, they are compared, and a
|
|
**1** is pushed if the first is less than or equal to the second, or **0**
|
|
otherwise.
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
**)**
|
|
|
|
: The top two values are popped off of the stack, they are compared, and a
|
|
**1** is pushed if the first is greater than the second, or **0** otherwise.
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
**}**
|
|
|
|
: The top two values are popped off of the stack, they are compared, and a
|
|
**1** is pushed if the first is greater than or equal to the second, or
|
|
**0** otherwise.
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
**M**
|
|
|
|
: The top two values are popped off of the stack. If they are both non-zero, a
|
|
**1** is pushed onto the stack. If either of them is zero, or both of them
|
|
are, then a **0** is pushed onto the stack.
|
|
|
|
This is like the **&&** operator in bc(1), and it is *not* a short-circuit
|
|
operator.
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
**m**
|
|
|
|
: The top two values are popped off of the stack. If at least one of them is
|
|
non-zero, a **1** is pushed onto the stack. If both of them are zero, then a
|
|
**0** is pushed onto the stack.
|
|
|
|
This is like the **||** operator in bc(1), and it is *not* a short-circuit
|
|
operator.
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
{{ A H N P HN HP NP HNP }}
|
|
## Pseudo-Random Number Generator
|
|
|
|
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
|
|
**seed** value that controls the pseudo-random number generator.)
|
|
|
|
The pseudo-random number generator is guaranteed to **NOT** be
|
|
cryptographically secure.
|
|
|
|
**'**
|
|
|
|
: Generates an integer between 0 and **DC_RAND_MAX**, inclusive (see the
|
|
**LIMITS** section).
|
|
|
|
The generated integer is made as unbiased as possible, subject to the
|
|
limitations of the pseudo-random number generator.
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
**"**
|
|
|
|
: Pops a value off of the stack, which is used as an **exclusive** 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 **RESET**
|
|
section) while **seed** remains unchanged. If the bound is larger than
|
|
**DC_RAND_MAX**, the higher bound is honored by generating several
|
|
pseudo-random integers, multiplying them by appropriate powers of
|
|
**DC_RAND_MAX+1**, 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 **seed**, unless the operand is **0** or **1**. In that
|
|
case, **0** is pushed onto the stack, and **seed** is *not* changed.
|
|
|
|
The generated integer is made as unbiased as possible, subject to the
|
|
limitations of the pseudo-random number generator.
|
|
|
|
This is a **non-portable extension**.
|
|
{{ end }}
|
|
|
|
## Stack Control
|
|
|
|
These commands control the stack.
|
|
|
|
**c**
|
|
|
|
: Removes all items from ("clears") the stack.
|
|
|
|
**d**
|
|
|
|
: Copies the item on top of the stack ("duplicates") and pushes the copy onto
|
|
the stack.
|
|
|
|
**r**
|
|
|
|
: Swaps ("reverses") the two top items on the stack.
|
|
|
|
**R**
|
|
|
|
: Pops ("removes") the top value from the stack.
|
|
|
|
## Register Control
|
|
|
|
These commands control registers (see the **REGISTERS** section).
|
|
|
|
**s**_r_
|
|
|
|
: Pops the value off the top of the stack and stores it into register *r*.
|
|
|
|
**l**_r_
|
|
|
|
: Copies the value in register *r* and pushes it onto the stack. This does not
|
|
alter the contents of *r*.
|
|
|
|
**S**_r_
|
|
|
|
: Pops the value off the top of the (main) stack and pushes it onto the stack
|
|
of register *r*. The previous value of the register becomes inaccessible.
|
|
|
|
**L**_r_
|
|
|
|
: Pops the value off the top of the stack for register *r* and push it onto
|
|
the main stack. The previous value in the stack for register *r*, if any, is
|
|
now accessible via the **l**_r_ command.
|
|
|
|
## Parameters
|
|
|
|
{{ A H N P HN HP NP HNP }}
|
|
These commands control the values of **ibase**, **obase**, **scale**, and
|
|
**seed**. Also see the **SYNTAX** section.
|
|
{{ end }}
|
|
{{ E EH EN EP EHN EHP ENP EHNP }}
|
|
These commands control the values of **ibase**, **obase**, and **scale**. Also
|
|
see the **SYNTAX** section.
|
|
{{ end }}
|
|
|
|
**i**
|
|
|
|
: Pops the value off of the top of the stack and uses it to set **ibase**,
|
|
which must be between **2** and **16**, inclusive.
|
|
|
|
If the value on top of the stack has any *scale*, the *scale* is ignored.
|
|
|
|
**o**
|
|
|
|
: Pops the value off of the top of the stack and uses it to set **obase**,
|
|
{{ A H N P HN HP NP HNP }}
|
|
which must be between **0** and **DC_BASE_MAX**, inclusive (see the
|
|
**LIMITS** section and the **NUMBERS** section).
|
|
{{ end }}
|
|
{{ E EH EN EP EHN EHP ENP EHNP }}
|
|
which must be between **2** and **DC_BASE_MAX**, inclusive (see the
|
|
**LIMITS** section).
|
|
{{ end }}
|
|
|
|
If the value on top of the stack has any *scale*, the *scale* is ignored.
|
|
|
|
**k**
|
|
|
|
: Pops the value off of the top of the stack and uses it to set **scale**,
|
|
which must be non-negative.
|
|
|
|
If the value on top of the stack has any *scale*, the *scale* is ignored.
|
|
|
|
{{ A H N P HN HP NP HNP }}
|
|
**j**
|
|
|
|
: Pops the value off of the top of the stack and uses it to set **seed**. The
|
|
meaning of **seed** is dependent on the current pseudo-random number
|
|
generator but is guaranteed to not change except for new major versions.
|
|
|
|
The *scale* and sign of the value may be significant.
|
|
|
|
If a previously used **seed** 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 **seed** value was previously used.
|
|
|
|
The exact value assigned to **seed** is not guaranteed to be returned if the
|
|
**J** command is used. However, if **seed** *does* return a different value,
|
|
both values, when assigned to **seed**, are guaranteed to produce the same
|
|
sequence of pseudo-random numbers. This means that certain values assigned
|
|
to **seed** will not produce unique sequences of pseudo-random numbers.
|
|
|
|
There is no limit to the length (number of significant decimal digits) or
|
|
*scale* of the value that can be assigned to **seed**.
|
|
|
|
This is a **non-portable extension**.
|
|
{{ end }}
|
|
|
|
**I**
|
|
|
|
: Pushes the current value of **ibase** onto the main stack.
|
|
|
|
**O**
|
|
|
|
: Pushes the current value of **obase** onto the main stack.
|
|
|
|
**K**
|
|
|
|
: Pushes the current value of **scale** onto the main stack.
|
|
|
|
{{ A H N P HN HP NP HNP }}
|
|
**J**
|
|
|
|
: Pushes the current value of **seed** onto the main stack.
|
|
|
|
This is a **non-portable extension**.
|
|
{{ end }}
|
|
|
|
**T**
|
|
|
|
: Pushes the maximum allowable value of **ibase** onto the main stack.
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
**U**
|
|
|
|
: Pushes the maximum allowable value of **obase** onto the main stack.
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
**V**
|
|
|
|
: Pushes the maximum allowable value of **scale** onto the main stack.
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
{{ A H N P HN HP NP HNP }}
|
|
**W**
|
|
|
|
: Pushes the maximum (inclusive) integer that can be generated with the **'**
|
|
pseudo-random number generator command.
|
|
|
|
This is a **non-portable extension**.
|
|
{{ end }}
|
|
|
|
## Strings
|
|
|
|
The following commands control strings.
|
|
|
|
dc(1) can work with both numbers and strings, and registers (see the
|
|
**REGISTERS** section) can hold both strings and numbers. dc(1) always knows
|
|
whether the contents of a register are a string or a number.
|
|
|
|
While arithmetic operations have to have numbers, and will print an error if
|
|
given a string, other commands accept strings.
|
|
|
|
Strings can also be executed as macros. For example, if the string **[1pR]** is
|
|
executed as a macro, then the code **1pR** is executed, meaning that the **1**
|
|
will be printed with a newline after and then popped from the stack.
|
|
|
|
**\[**_characters_**\]**
|
|
|
|
: Makes a string containing *characters* and pushes it onto the stack.
|
|
|
|
If there are brackets (**\[** and **\]**) in the string, then they must be
|
|
balanced. Unbalanced brackets can be escaped using a backslash (**\\**)
|
|
character.
|
|
|
|
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.
|
|
|
|
**a**
|
|
|
|
: The value on top of the stack is popped.
|
|
|
|
If it is a number, it is truncated and its absolute value is taken. The
|
|
result mod **UCHAR_MAX+1** is calculated. If that result is **0**, push an
|
|
empty string; otherwise, push a one-character string where the character is
|
|
the result of the mod interpreted as an ASCII character.
|
|
|
|
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.
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
**x**
|
|
|
|
: Pops a value off of the top of the stack.
|
|
|
|
If it is a number, it is pushed back onto the stack.
|
|
|
|
If it is a string, it is executed as a macro.
|
|
|
|
This behavior is the norm whenever a macro is executed, whether by this
|
|
command or by the conditional execution commands below.
|
|
|
|
**\>**_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
|
|
*r* are executed.
|
|
|
|
For example, **0 1>a** will execute the contents of register **a**, and
|
|
**1 0>a** will not.
|
|
|
|
If either or both of the values are not numbers, dc(1) will raise an error
|
|
and reset (see the **RESET** section).
|
|
|
|
**>**_r_**e**_s_
|
|
|
|
: Like the above, but will execute register *s* if the comparison fails.
|
|
|
|
If either or both of the values are not numbers, dc(1) will raise an error
|
|
and reset (see the **RESET** section).
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
**!\>**_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 *r* are executed.
|
|
|
|
If either or both of the values are not numbers, dc(1) will raise an error
|
|
and reset (see the **RESET** section).
|
|
|
|
**!\>**_r_**e**_s_
|
|
|
|
: Like the above, but will execute register *s* if the comparison fails.
|
|
|
|
If either or both of the values are not numbers, dc(1) will raise an error
|
|
and reset (see the **RESET** section).
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
**\<**_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 *r*
|
|
are executed.
|
|
|
|
If either or both of the values are not numbers, dc(1) will raise an error
|
|
and reset (see the **RESET** section).
|
|
|
|
**\<**_r_**e**_s_
|
|
|
|
: Like the above, but will execute register *s* if the comparison fails.
|
|
|
|
If either or both of the values are not numbers, dc(1) will raise an error
|
|
and reset (see the **RESET** section).
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
**!\<**_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 *r* are executed.
|
|
|
|
If either or both of the values are not numbers, dc(1) will raise an error
|
|
and reset (see the **RESET** section).
|
|
|
|
**!\<**_r_**e**_s_
|
|
|
|
: Like the above, but will execute register *s* if the comparison fails.
|
|
|
|
If either or both of the values are not numbers, dc(1) will raise an error
|
|
and reset (see the **RESET** section).
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
**=**_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 *r*
|
|
are executed.
|
|
|
|
If either or both of the values are not numbers, dc(1) will raise an error
|
|
and reset (see the **RESET** section).
|
|
|
|
**=**_r_**e**_s_
|
|
|
|
: Like the above, but will execute register *s* if the comparison fails.
|
|
|
|
If either or both of the values are not numbers, dc(1) will raise an error
|
|
and reset (see the **RESET** section).
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
**!=**_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
|
|
*r* are executed.
|
|
|
|
If either or both of the values are not numbers, dc(1) will raise an error
|
|
and reset (see the **RESET** section).
|
|
|
|
**!=**_r_**e**_s_
|
|
|
|
: Like the above, but will execute register *s* if the comparison fails.
|
|
|
|
If either or both of the values are not numbers, dc(1) will raise an error
|
|
and reset (see the **RESET** section).
|
|
|
|
This is a **non-portable extension**.
|
|
|
|
**?**
|
|
|
|
: Reads a line from the **stdin** and executes it. This is to allow macros to
|
|
request input from users.
|
|
|
|
**q**
|
|
|
|
: 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.
|
|
|
|
**Q**
|
|
|
|
: 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.
|
|
|
|
## Status
|
|
|
|
These commands query status of the stack or its top value.
|
|
|
|
**Z**
|
|
|
|
: Pops a value off of the stack.
|
|
|
|
If it is a number, calculates the number of significant decimal digits it
|
|
has and pushes the result.
|
|
|
|
If it is a string, pushes the number of characters the string has.
|
|
|
|
**X**
|
|
|
|
: Pops a value off of the stack.
|
|
|
|
If it is a number, pushes the *scale* of the value onto the stack.
|
|
|
|
If it is a string, pushes **0**.
|
|
|
|
**z**
|
|
|
|
: Pushes the current stack depth (before execution of this command).
|
|
|
|
## Arrays
|
|
|
|
These commands manipulate arrays.
|
|
|
|
**:**_r_
|
|
|
|
: Pops the top two values off of the stack. The second value will be stored in
|
|
the array *r* (see the **REGISTERS** section), indexed by the first value.
|
|
|
|
**;**_r_
|
|
|
|
: Pops the value on top of the stack and uses it as an index into the array
|
|
*r*. The selected value is then pushed onto the stack.
|
|
|
|
# REGISTERS
|
|
|
|
Registers are names that can store strings, numbers, and arrays. (Number/string
|
|
registers do not interfere with array registers.)
|
|
|
|
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
|
|
(**0**) in their stack.
|
|
|
|
In non-extended register mode, a register name is just the single character that
|
|
follows any command that needs a register name. The only exception is a newline
|
|
(**'\\n'**); it is a parse error for a newline to be used as a register name.
|
|
|
|
## Extended Register Mode
|
|
|
|
Unlike most other dc(1) implentations, this dc(1) provides nearly unlimited
|
|
amounts of registers, if extended register mode is enabled.
|
|
|
|
If extended register mode is enabled (**-x** or **-\-extended-register**
|
|
command-line arguments are given), then normal single character registers are
|
|
used *unless* the character immediately following a command that needs a
|
|
register name is a space (according to **isspace()**) and not a newline
|
|
(**'\\n'**).
|
|
|
|
In that case, the register name is found according to the regex
|
|
**\[a-z\]\[a-z0-9\_\]\*** (like bc(1) identifiers), and it is a parse error if
|
|
the next non-space characters do not match that regex.
|
|
|
|
# RESET
|
|
|
|
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.
|
|
|
|
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.
|
|
|
|
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
|
|
**EXIT STATUS** section), it asks for more input; otherwise, it exits with the
|
|
appropriate return code.
|
|
|
|
# PERFORMANCE
|
|
|
|
Most dc(1) implementations use **char** types to calculate the value of **1**
|
|
decimal digit at a time, but that can be slow. This dc(1) does something
|
|
different.
|
|
|
|
It uses large integers to calculate more than **1** decimal digit at a time. If
|
|
built in a environment where **DC_LONG_BIT** (see the **LIMITS** section) is
|
|
**64**, then each integer has **9** decimal digits. If built in an environment
|
|
where **DC_LONG_BIT** is **32** then each integer has **4** decimal digits. This
|
|
value (the number of decimal digits per large integer) is called
|
|
**DC_BASE_DIGS**.
|
|
|
|
In addition, this dc(1) uses an even larger integer for overflow checking. This
|
|
integer type depends on the value of **DC_LONG_BIT**, but is always at least
|
|
twice as large as the integer type used to store digits.
|
|
|
|
# LIMITS
|
|
|
|
The following are the limits on dc(1):
|
|
|
|
**DC_LONG_BIT**
|
|
|
|
: The number of bits in the **long** 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 **PERFORMANCE** section).
|
|
|
|
**DC_BASE_DIGS**
|
|
|
|
: The number of decimal digits per large integer (see the **PERFORMANCE**
|
|
section). Depends on **DC_LONG_BIT**.
|
|
|
|
**DC_BASE_POW**
|
|
|
|
: The max decimal number that each large integer can store (see
|
|
**DC_BASE_DIGS**) plus **1**. Depends on **DC_BASE_DIGS**.
|
|
|
|
**DC_OVERFLOW_MAX**
|
|
|
|
: The max number that the overflow type (see the **PERFORMANCE** section) can
|
|
hold. Depends on **DC_LONG_BIT**.
|
|
|
|
**DC_BASE_MAX**
|
|
|
|
: The maximum output base. Set at **DC_BASE_POW**.
|
|
|
|
**DC_DIM_MAX**
|
|
|
|
: The maximum size of arrays. Set at **SIZE_MAX-1**.
|
|
|
|
**DC_SCALE_MAX**
|
|
|
|
: The maximum **scale**. Set at **DC_OVERFLOW_MAX-1**.
|
|
|
|
**DC_STRING_MAX**
|
|
|
|
: The maximum length of strings. Set at **DC_OVERFLOW_MAX-1**.
|
|
|
|
**DC_NAME_MAX**
|
|
|
|
: The maximum length of identifiers. Set at **DC_OVERFLOW_MAX-1**.
|
|
|
|
**DC_NUM_MAX**
|
|
|
|
: The maximum length of a number (in decimal digits), which includes digits
|
|
after the decimal point. Set at **DC_OVERFLOW_MAX-1**.
|
|
|
|
{{ A H N P HN HP NP HNP }}
|
|
**DC_RAND_MAX**
|
|
|
|
: The maximum integer (inclusive) returned by the **'** command, if dc(1). Set
|
|
at **2\^DC_LONG_BIT-1**.
|
|
{{ end }}
|
|
|
|
Exponent
|
|
|
|
: The maximum allowable exponent (positive or negative). Set at
|
|
**DC_OVERFLOW_MAX**.
|
|
|
|
Number of vars
|
|
|
|
: The maximum number of vars/arrays. Set at **SIZE_MAX-1**.
|
|
|
|
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.
|
|
|
|
# ENVIRONMENT VARIABLES
|
|
|
|
dc(1) recognizes the following environment variables:
|
|
|
|
**DC_ENV_ARGS**
|
|
|
|
: 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 **DC_ENV_ARGS** will be processed
|
|
before arguments and files given on the command-line. This gives the user
|
|
the ability to set up "standard" 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 **-e** option to set **scale** to a value other than **0**.
|
|
|
|
The code that parses **DC_ENV_ARGS** will correctly handle quoted arguments,
|
|
but it does not understand escape sequences. For example, the string
|
|
**"/home/gavin/some dc file.dc"** will be correctly parsed, but the string
|
|
**"/home/gavin/some \"dc\" file.dc"** will include the backslashes.
|
|
|
|
The quote parsing will handle either kind of quotes, **'** or **"**. 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 **"some 'dc' file.dc"**, and vice
|
|
versa if you have a file with double quotes. However, handling a file with
|
|
both kinds of quotes in **DC_ENV_ARGS** 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.
|
|
|
|
**DC_LINE_LENGTH**
|
|
|
|
: If this environment variable exists and contains an integer that is greater
|
|
than **1** and is less than **UINT16_MAX** (**2\^16-1**), dc(1) will output
|
|
lines to that length, including the backslash newline combo. The default
|
|
line length is **70**.
|
|
|
|
**DC_EXPR_EXIT**
|
|
|
|
: If this variable exists (no matter the contents), dc(1) will exit
|
|
immediately after executing expressions and files given by the **-e** and/or
|
|
**-f** command-line options (and any equivalents).
|
|
|
|
# EXIT STATUS
|
|
|
|
dc(1) returns the following exit statuses:
|
|
|
|
**0**
|
|
|
|
: No error.
|
|
|
|
**1**
|
|
|
|
: A math error occurred. This follows standard practice of using **1** for
|
|
expected errors, since math errors will happen in the process of normal
|
|
execution.
|
|
|
|
Math errors include divide by **0**, taking the square root of a negative
|
|
{{ A H N P HN HP NP HNP }}
|
|
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, and attempting to
|
|
use a non-integer where an integer is required.
|
|
|
|
Converting to a hardware integer happens for the second operand of the power
|
|
(**\^**), places (**\@**), left shift (**H**), and right shift (**h**)
|
|
operators.
|
|
{{ end }}
|
|
{{ E EH EN EP EHN EHP ENP EHNP }}
|
|
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.
|
|
|
|
Converting to a hardware integer happens for the second operand of the power
|
|
(**\^**) operator.
|
|
{{ end }}
|
|
|
|
**2**
|
|
|
|
: A parse error occurred.
|
|
|
|
Parse errors include unexpected **EOF**, using an invalid character, failing
|
|
to find the end of a string or comment, and using a token where it is
|
|
invalid.
|
|
|
|
**3**
|
|
|
|
: A runtime error occurred.
|
|
|
|
Runtime errors include assigning an invalid number to **ibase**, **obase**,
|
|
or **scale**; give a bad expression to a **read()** call, calling **read()**
|
|
inside of a **read()** call, type errors, and attempting an operation when
|
|
the stack has too few elements.
|
|
|
|
**4**
|
|
|
|
: A fatal error occurred.
|
|
|
|
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.
|
|
|
|
The exit status **4** is special; when a fatal error occurs, dc(1) always exits
|
|
and returns **4**, no matter what mode dc(1) is in.
|
|
|
|
The other statuses will only be returned when dc(1) is not in interactive mode
|
|
(see the **INTERACTIVE MODE** section), since dc(1) resets its state (see the
|
|
**RESET** 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
|
|
**-i** flag or **-\-interactive** option.
|
|
|
|
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 **-i** flag or
|
|
**-\-interactive** option.
|
|
|
|
# INTERACTIVE MODE
|
|
|
|
Like bc(1), dc(1) has an interactive mode and a non-interactive mode.
|
|
Interactive mode is turned on automatically when both **stdin** and **stdout**
|
|
are hooked to a terminal, but the **-i** flag and **-\-interactive** option can
|
|
turn it on in other cases.
|
|
|
|
In interactive mode, dc(1) attempts to recover from errors (see the **RESET**
|
|
section), and in normal execution, flushes **stdout** as soon as execution is
|
|
done for the current input.
|
|
|
|
# TTY MODE
|
|
|
|
If **stdin**, **stdout**, and **stderr** are all connected to a TTY, dc(1) turns
|
|
on "TTY mode."
|
|
|
|
{{ A E N P EN EP NP ENP }}
|
|
TTY mode is required for history to be enabled (see the **COMMAND LINE HISTORY**
|
|
section). It is also required to enable special handling for **SIGINT** signals.
|
|
{{ end }}
|
|
|
|
{{ A E H N EH EN HN EHN }}
|
|
The prompt is enabled in TTY mode.
|
|
{{ end }}
|
|
|
|
TTY mode is different from interactive mode because interactive mode is required
|
|
in the [bc(1) specification][1], and interactive mode requires only **stdin**
|
|
and **stdout** to be connected to a terminal.
|
|
|
|
# SIGNAL HANDLING
|
|
|
|
Sending a **SIGINT** will cause dc(1) to stop execution of the current input. If
|
|
dc(1) is in TTY mode (see the **TTY MODE** section), it will reset (see the
|
|
**RESET** section). Otherwise, it will clean up and exit.
|
|
|
|
Note that "current input" can mean one of two things. If dc(1) is processing
|
|
input from **stdin** in TTY mode, it will ask for more input. If dc(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 **stdin**
|
|
if no other file exists.
|
|
|
|
This means that if a **SIGINT** 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.
|
|
|
|
**SIGTERM** and **SIGQUIT** cause dc(1) to clean up and exit, and it uses the
|
|
{{ A E N P EN EP NP ENP }}
|
|
default handler for all other signals. The one exception is **SIGHUP**; in that
|
|
case, when dc(1) is in TTY mode, a **SIGHUP** will cause dc(1) to clean up and
|
|
exit.
|
|
{{ end }}
|
|
{{ H EH HN HP EHN EHP HNP EHNP }}
|
|
default handler for all other signals.
|
|
{{ end }}
|
|
|
|
{{ A E N P EN EP NP ENP }}
|
|
# COMMAND LINE HISTORY
|
|
|
|
dc(1) supports interactive command-line editing. If dc(1) is in TTY mode (see
|
|
the **TTY MODE** section), history is enabled. Previous lines can be recalled
|
|
and edited with the arrow keys.
|
|
|
|
**Note**: tabs are converted to 8 spaces.
|
|
{{ end }}
|
|
|
|
{{ A E H P EH EP HP EHP }}
|
|
# LOCALES
|
|
|
|
This dc(1) ships with support for adding error messages for different locales
|
|
and thus, supports **LC_MESSAGS**.
|
|
{{ end }}
|
|
|
|
# SEE ALSO
|
|
|
|
bc(1)
|
|
|
|
# STANDARDS
|
|
|
|
The dc(1) utility operators are compliant with the operators in the bc(1)
|
|
[IEEE Std 1003.1-2017 (“POSIX.1-2017”)][1] specification.
|
|
|
|
# BUGS
|
|
|
|
None are known. Report bugs at https://git.yzena.com/gavin/bc.
|
|
|
|
# AUTHOR
|
|
|
|
Gavin D. Howard <gavin@yzena.com> and contributors.
|
|
|
|
[1]: https://pubs.opengroup.org/onlinepubs/9699919799/utilities/bc.html
|