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Annotation of src/usr.bin/dc/dc.1, Revision 1.24

1.24    ! schwarze    1: .\"    $OpenBSD: dc.1,v 1.23 2007/05/31 19:20:09 jmc Exp $
1.1       otto        2: .\"
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1.24    ! schwarze   37: .Dd $Mdocdate: May 31 2007 $
1.1       otto       38: .Dt DC 1
1.24    ! schwarze   39: .Os
1.1       otto       40: .Sh NAME
                     41: .Nm dc
                     42: .Nd desk calculator
                     43: .Sh SYNOPSIS
                     44: .Nm
1.18      otto       45: .Op Fl x
1.19      otto       46: .Op Fl e Ar expression
1.2       jmc        47: .Op Ar file
1.1       otto       48: .Sh DESCRIPTION
                     49: .Nm
                     50: is an arbitrary precision arithmetic package.
                     51: The overall structure of
                     52: .Nm
                     53: is
1.2       jmc        54: a stacking (reverse Polish) calculator i.e.\&
                     55: numbers are stored on a stack.
                     56: Adding a number pushes it onto the stack.
                     57: Arithmetic operations pop arguments off the stack
                     58: and push the results.
                     59: See also the
                     60: .Xr bc 1
                     61: utility, which is a preprocessor for
                     62: .Nm
                     63: providing infix notation and a C-like syntax
                     64: which implements functions and reasonable control
                     65: structures for programs.
1.18      otto       66: The options are as follows:
                     67: .Bl -tag -width Ds
1.19      otto       68: .It Fl e Ar expression
                     69: Evaluate
                     70: .Ar expression .
                     71: If multiple
                     72: .Fl e
                     73: options are specified, they will be processed in the order given.
                     74: If no
                     75: .Ar file
                     76: argument is given, execution will stop after processing the expressions
                     77: given on the command line,
                     78: otherwise processing will continue with the contents of
                     79: .Ar file .
1.18      otto       80: .It Fl x
                     81: Enable extended register mode.
                     82: This mode is used by
                     83: .Xr bc 1
                     84: to allow more than 256 registers.
                     85: See
                     86: .Sx Registers
                     87: for a more detailed description.
                     88: .El
1.2       jmc        89: .Pp
                     90: Ordinarily,
                     91: .Nm
                     92: operates on decimal integers,
                     93: but one may specify an input base, output base,
                     94: and a number of fractional digits (scale) to be maintained.
1.1       otto       95: If an argument is given,
                     96: input is taken from that file until its end,
                     97: then from the standard input.
1.21      kjell      98: Whitespace is ignored, except where it signals the end of a number,
1.1       otto       99: end of a line or when a register name is expected.
                    100: The following constructions are recognized:
1.2       jmc       101: .Bl -tag -width "number"
1.1       otto      102: .It Va number
                    103: The value of the number is pushed on the stack.
                    104: A number is an unbroken string of the digits 0\-9 and letters A\-F.
1.2       jmc       105: It may be preceded by an underscore
                    106: .Pq Sq _
                    107: to input a negative number.
                    108: A number may contain a single decimal point.
1.1       otto      109: A number may also contain the characters A\-F, with the values 10\-15.
1.7       otto      110: .It Cm "+ - / * % ~ ^"
1.1       otto      111: The
                    112: top two values on the stack are added
                    113: (+),
                    114: subtracted
                    115: (\-),
                    116: multiplied (*),
                    117: divided (/),
                    118: remaindered (%),
1.7       otto      119: divided and remaindered (~),
1.1       otto      120: or exponentiated (^).
                    121: The two entries are popped off the stack;
                    122: the result is pushed on the stack in their place.
                    123: Any fractional part of an exponent is ignored.
                    124: .Pp
                    125: For addition and subtraction, the scale of the result is the maximum
                    126: of scales of the operands.
                    127: For division the scale of the result is defined
                    128: by the scale set by the
1.8       otto      129: .Ic k
1.1       otto      130: operation.
1.2       jmc       131: For multiplication, the scale is defined by the expression
                    132: .Sy min(a+b,max(a,b,scale)) ,
1.1       otto      133: where
                    134: .Sy a
                    135: and
                    136: .Sy b
                    137: are the scales of the operands, and
                    138: .Sy scale
1.2       jmc       139: is the scale defined by the
1.8       otto      140: .Ic k
1.1       otto      141: operation.
1.11      jmc       142: For exponentiation with a non-negative exponent, the scale of the result is
1.2       jmc       143: .Sy min(a*b,max(scale,a)) ,
1.1       otto      144: where
                    145: .Sy a
                    146: is the scale of the base, and
                    147: .Sy b
                    148: is the
                    149: .Em value
                    150: of the exponent.
                    151: If the exponent is negative, the scale of the result is the scale
                    152: defined by the
1.8       otto      153: .Ic k
1.1       otto      154: operation.
1.7       otto      155: .Pp
                    156: In the case of the division and modulus operator (~),
                    157: the resultant quotient is pushed first followed by the remainder.
                    158: This is a shorthand for the sequence:
                    159: .Bd -literal -offset indent -compact
                    160: x y / x y %
                    161: .Ed
                    162: The division and modulus operator is a non-portable extension.
1.15      otto      163: .It Ic a
                    164: Pop the top value from the stack.
                    165: If that value is a number, compute the integer part of the number modulo 256.
                    166: If the result is zero, push an empty string.
                    167: Otherwise push a one character string by interpreting the computed value
                    168: as an
                    169: .Tn ASCII
                    170: character.
                    171: .Pp
                    172: If the top value is a string, push a string containing the first character
                    173: of the original string.
                    174: If the original string is empty, an empty string is pushed back.
                    175: The
                    176: .Ic a
                    177: operator is a non-portable extension.
1.10      otto      178: .It Ic c
                    179: All values on the stack are popped.
                    180: .It Ic d
                    181: The top value on the stack is duplicated.
                    182: .It Ic f
                    183: All values on the stack are printed, separated by newlines.
1.16      otto      184: .It Ic G
                    185: The top two numbers are popped from the stack and compared.
                    186: A one is pushed if the top of the stack is equal to the second number
                    187: on the stack.
                    188: A zero is pushed otherwise.
                    189: This is a non-portable extension.
1.22      jmc       190: .It Ic I
                    191: Pushes the input base on the top of the stack.
1.10      otto      192: .It Ic i
                    193: The top value on the stack is popped and used as the
                    194: base for further input.
                    195: The initial input base is 10.
                    196: .It Ic J
1.15      otto      197: Pop the top value from the stack.
1.10      otto      198: The recursion level is popped by that value and, following that,
                    199: the input is skipped until the first occurrence of the
                    200: .Ic M
                    201: operator.
1.1       otto      202: The
1.10      otto      203: .Ic J
1.15      otto      204: operator is a non-portable extension, used by the
1.10      otto      205: .Xr bc 1
                    206: command.
                    207: .It Ic K
                    208: The current scale factor is pushed onto the stack.
                    209: .It Ic k
                    210: The top of the stack is popped, and that value is used as
                    211: a non-negative scale factor:
                    212: the appropriate number of places
                    213: are printed on output,
                    214: and maintained during multiplication, division, and exponentiation.
                    215: The interaction of scale factor,
                    216: input base, and output base will be reasonable if all are changed
                    217: together.
                    218: .It Ic L Ns Ar x
                    219: Register
1.1       otto      220: .Ar x
1.10      otto      221: is treated as a stack and its top value is popped onto the main stack.
1.1       otto      222: .It Ic l Ns Ar x
                    223: The
                    224: value in register
                    225: .Ar x
                    226: is pushed on the stack.
                    227: The register
                    228: .Ar x
                    229: is not altered.
1.4       otto      230: Initially, all registers contain the value zero.
1.10      otto      231: .It Ic M
                    232: Mark used by the
                    233: .Ic J
                    234: operator.
                    235: The
                    236: .Ic M
                    237: operator is a non-portable extensions, used by the
                    238: .Xr bc 1
                    239: command.
1.16      otto      240: .It Ic N
                    241: The top of the stack is replaced by one if the top of the stack
                    242: is equal to zero.
                    243: If the top of the stack is unequal to zero, it is replaced by zero.
                    244: This is a non-portable extension.
1.15      otto      245: .It Ic n
                    246: The top value on the stack is popped and printed without a newline.
                    247: This is a non-portable extension.
1.10      otto      248: .It Ic O
                    249: Pushes the output base on the top of the stack.
                    250: .It Ic o
                    251: The top value on the stack is popped and used as the
                    252: base for further output.
                    253: The initial output base is 10.
1.1       otto      254: .It Ic P
                    255: The top of the stack is popped.
1.2       jmc       256: If the top of the stack is a string, it is printed without a trailing newline.
1.1       otto      257: If the top of the stack is a number, it is interpreted as a
                    258: base 256 number, and each digit of this base 256 number is printed as
                    259: an
                    260: .Tn ASCII
                    261: character, without a trailing newline.
1.10      otto      262: .It Ic p
                    263: The top value on the stack is printed with a trailing newline.
                    264: The top value remains unchanged.
                    265: .It Ic Q
                    266: The top value on the stack is popped and the string execution level is popped
                    267: by that value.
1.1       otto      268: .It Ic q
                    269: Exits the program.
                    270: If executing a string, the recursion level is
                    271: popped by two.
1.17      otto      272: .It Ic R
                    273: The top of the stack is removed (popped).
                    274: This is a non-portable extension.
1.14      otto      275: .It Ic r
                    276: The top two values on the stack are reversed (swapped).
                    277: This is a non-portable extension.
1.10      otto      278: .It Ic S Ns Ar x
                    279: Register
                    280: .Ar x
                    281: is treated as a stack.
                    282: The top value of the main stack is popped and pushed on it.
                    283: .It Ic s Ns Ar x
                    284: The
                    285: top of the stack is popped and stored into
                    286: a register named
1.18      otto      287: .Ar x .
1.10      otto      288: .It Ic v
                    289: Replaces the top element on the stack by its square root.
                    290: The scale of the result is the maximum of the scale of the argument
                    291: and the current value of scale.
                    292: .It Ic X
                    293: Replaces the number on the top of the stack with its scale factor.
                    294: If the top of the stack is a string, replace it with the integer 0.
1.1       otto      295: .It Ic x
                    296: Treats the top element of the stack as a character string
                    297: and executes it as a string of
                    298: .Nm
                    299: commands.
1.10      otto      300: .It Ic Z
                    301: Replaces the number on the top of the stack with its length.
                    302: The length of a string is its number of characters.
                    303: The length of a number is its number of digits, not counting the minus sign
                    304: and decimal point.
                    305: .It Ic z
                    306: The stack level is pushed onto the stack.
1.1       otto      307: .It Cm [ Ns ... Ns Cm ]
                    308: Puts the bracketed
                    309: .Tn ASCII
                    310: string onto the top of the stack.
1.5       otto      311: If the string includes brackets, these must be properly balanced.
1.6       jmc       312: The backslash character
                    313: .Pq Sq \e
                    314: may be used as an escape character, making it
1.5       otto      315: possible to include unbalanced brackets in strings.
1.6       jmc       316: To include a backslash in a string, use a double backslash.
1.1       otto      317: .It Xo
                    318: .Cm < Ns Va x
                    319: .Cm > Ns Va x
                    320: .Cm = Ns Va x
                    321: .Cm !< Ns Va x
                    322: .Cm !> Ns Va x
                    323: .Cm != Ns Va x
                    324: .Xc
                    325: The top two elements of the stack are popped and compared.
                    326: Register
                    327: .Ar x
                    328: is executed if they obey the stated
                    329: relation.
1.12      otto      330: .It Xo
                    331: .Cm < Ns Va x Ns e Ns Va y
                    332: .Cm > Ns Va x Ns e Ns Va y
                    333: .Cm = Ns Va x Ns e Ns Va y
                    334: .Cm !< Ns Va x Ns e Ns Va y
                    335: .Cm !> Ns Va x Ns e Ns Va y
                    336: .Cm != Ns Va x Ns e Ns Va y
                    337: .Xc
                    338: These operations are variants of the comparison operations above.
                    339: The first register name is followed by the letter
                    340: .Sq e
                    341: and another register name.
                    342: Register
                    343: .Ar x
                    344: will be executed if the relation is true, and register
                    345: .Ar y
                    346: will be executed if the relation is false.
                    347: This is a non-portable extension.
1.16      otto      348: .It Ic \&(
                    349: The top two numbers are popped from the stack and compared.
                    350: A one is pushed if the top of the stack is less than the second number
                    351: on the stack.
                    352: A zero is pushed otherwise.
                    353: This is a non-portable extension.
                    354: .It Ic {
                    355: The top two numbers are popped from the stack and compared.
                    356: A one is pushed if the top of stack is less than or equal to the
                    357: second number on the stack.
                    358: A zero is pushed otherwise.
                    359: This is a non-portable extension.
1.2       jmc       360: .It Ic \&!
1.1       otto      361: Interprets the rest of the line as a
                    362: .Ux
                    363: command.
1.2       jmc       364: .It Ic \&?
1.1       otto      365: A line of input is taken from the input source (usually the terminal)
                    366: and executed.
                    367: .It Ic : Ns Ar r
1.2       jmc       368: Pop two values from the stack.
                    369: The second value on the stack is stored into the array
1.1       otto      370: .Ar r
                    371: indexed by the top of stack.
                    372: .It Ic ; Ns Ar r
1.2       jmc       373: Pop a value from the stack.
                    374: The value is used as an index into register
1.1       otto      375: .Ar r .
                    376: The value in this register is pushed onto the stack.
                    377: .Pp
1.2       jmc       378: Array elements initially have the value zero.
1.1       otto      379: Each level of a stacked register has its own array associated with
                    380: it.
                    381: The command sequence
1.2       jmc       382: .Bd -literal -offset indent
1.1       otto      383: [first] 0:a [dummy] Sa [second] 0:a 0;a p La 0;a p
                    384: .Ed
                    385: .Pp
                    386: will print
1.2       jmc       387: .Bd -literal -offset indent
1.1       otto      388: second
                    389: first
                    390: .Ed
                    391: .Pp
                    392: since the string
                    393: .Ql second
                    394: is written in an array that is later popped, to reveal the array that
                    395: stored
                    396: .Ql first .
1.15      otto      397: .It Ic #
                    398: Skip the rest of the line.
                    399: This is a non-portable extension.
1.1       otto      400: .El
1.18      otto      401: .Ss Registers
                    402: Registers have a single character name
                    403: .Ar x ,
                    404: where
                    405: .Ar x
                    406: may be any character, including space, tab or any other special character.
                    407: If extended register mode is enabled using the
                    408: .Fl x
                    409: option and the register identifier
                    410: .Ar x
                    411: has the value 255, the next two characters are interpreted as a
                    412: two-byte register index.
                    413: The set of standard single character registers and the set of extended
                    414: registers do not overlap.
                    415: Extended register mode is a non-portable extension.
1.1       otto      416: .Sh EXAMPLES
                    417: An example which prints the first ten values of
1.2       jmc       418: .Ic n! :
                    419: .Bd -literal -offset indent
1.1       otto      420: [la1+dsa*pla10>y]sy
                    421: 0sa1
                    422: lyx
                    423: .Ed
                    424: .Pp
                    425: Independent of the current input base, the command
1.2       jmc       426: .Bd -literal -offset indent
1.1       otto      427: Ai
                    428: .Ed
                    429: .Pp
                    430: will reset the input base to decimal 10.
                    431: .Sh DIAGNOSTICS
1.2       jmc       432: .Bl -diag
                    433: .It %c (0%o) is unimplemented
1.1       otto      434: an undefined operation was called.
1.2       jmc       435: .It stack empty
1.1       otto      436: for not enough elements on the stack to do what was asked.
1.2       jmc       437: .It stack register '%c' (0%o) is empty
                    438: for an
1.1       otto      439: .Ar L
                    440: operation from a stack register that is empty.
1.2       jmc       441: .It Runtime warning: non-zero scale in exponent
1.1       otto      442: for a fractional part of an exponent that is being ignored.
1.2       jmc       443: .It divide by zero
1.1       otto      444: for trying to divide by zero.
1.2       jmc       445: .It remainder by zero
1.1       otto      446: for trying to take a remainder by zero.
1.2       jmc       447: .It square root of negative number
1.1       otto      448: for trying to take the square root of a negative number.
1.2       jmc       449: .It index too big
1.1       otto      450: for an array index that is larger than 2048.
1.2       jmc       451: .It negative index
1.1       otto      452: for a negative array index.
1.13      jmc       453: .It "input base must be a number between 2 and 16"
1.1       otto      454: for trying to set an illegal input base.
1.2       jmc       455: .It output base must be a number greater than 1
1.18      otto      456: for trying to set an illegal output base.
1.2       jmc       457: .It scale must be a nonnegative number
1.1       otto      458: for trying to set a negative or zero scale.
1.2       jmc       459: .It scale too large
1.1       otto      460: for trying to set a scale that is too large.
1.2       jmc       461: A scale must be representable as a 32-bit unsigned number.
                    462: .It Q command argument exceeded string execution depth
1.1       otto      463: for trying to pop the recursion level more than the current
                    464: recursion level.
1.2       jmc       465: .It Q command requires a number >= 1
1.1       otto      466: for trying to pop an illegal number of recursion levels.
1.2       jmc       467: .It recursion too deep
1.1       otto      468: for too many levels of nested execution.
                    469: .Pp
                    470: The recursion level is increased by one if the
                    471: .Ar x
                    472: or
1.2       jmc       473: .Ar ?\&
1.1       otto      474: operation or one of the compare operations resulting in the execution
                    475: of register is executed.
                    476: As an exception, the recursion level is not increased if the operation
                    477: is executed as the last command of a string.
1.2       jmc       478: For example, the commands
                    479: .Bd -literal -offset indent
1.1       otto      480: [lax]sa
                    481: 1 lax
                    482: .Ed
                    483: .Pp
                    484: will execute an endless loop, while the commands
1.2       jmc       485: .Bd -literal -offset indent
1.1       otto      486: [laxp]sa
                    487: 1 lax
                    488: .Ed
                    489: .Pp
                    490: will terminate because of a too deep recursion level.
1.8       otto      491: .It J command argument exceeded string execution depth
                    492: for trying to pop the recursion level more than the current
                    493: recursion level.
                    494: .It mark not found
1.9       jmc       495: for a failed scan for an occurrence of the
1.8       otto      496: .Ic M
                    497: operator.
1.1       otto      498: .El
                    499: .Sh SEE ALSO
1.2       jmc       500: .Xr bc 1
1.16      otto      501: .Rs
                    502: .%B USD:05
                    503: .%A L. L. Cherry
                    504: .%A R. Morris
                    505: .%T "DC \- An Interactive Desk Calculator"
                    506: .Re
1.1       otto      507: .Sh STANDARDS
                    508: The arithmetic operations of the
                    509: .Nm
                    510: utility are expected to conform to the definition listed in the
                    511: .Xr bc 1
                    512: section of the
                    513: .St -p1003.2
                    514: specification.
                    515: .Sh HISTORY
                    516: The
                    517: .Nm
                    518: command first appeared in
                    519: .At v6 .
                    520: A complete rewrite of the
                    521: .Nm
                    522: command using the
                    523: .Xr bn 3
                    524: big number routines first appeared in
                    525: .Ox 3.5 .
                    526: .Sh AUTHORS
1.20      jaredy    527: .An -nosplit
1.1       otto      528: The original version of the
                    529: .Nm
                    530: command was written by
                    531: .An Robert Morris
                    532: and
                    533: .An Lorinda Cherry .
                    534: The current version of the
                    535: .Nm
                    536: utility was written by
                    537: .An Otto Moerbeek .