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Annotation of src/usr.bin/dc/dc.1, Revision 1.5

1.5     ! otto        1: .\"    $OpenBSD: dc.1,v 1.4 2003/09/22 14:50:32 otto Exp $
1.1       otto        2: .\"
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                     35: .\"    @(#)dc.1        8.1 (Berkeley) 6/6/93
                     36: .\"
                     37: .Dd June 6, 1993
                     38: .Dt DC 1
                     39: .Sh NAME
                     40: .Nm dc
                     41: .Nd desk calculator
                     42: .Sh SYNOPSIS
                     43: .Nm
1.2       jmc        44: .Op Ar file
1.1       otto       45: .Sh DESCRIPTION
                     46: .Nm
                     47: is an arbitrary precision arithmetic package.
                     48: The overall structure of
                     49: .Nm
                     50: is
1.2       jmc        51: a stacking (reverse Polish) calculator i.e.\&
                     52: numbers are stored on a stack.
                     53: Adding a number pushes it onto the stack.
                     54: Arithmetic operations pop arguments off the stack
                     55: and push the results.
                     56: See also the
                     57: .Xr bc 1
                     58: utility, which is a preprocessor for
                     59: .Nm
                     60: providing infix notation and a C-like syntax
                     61: which implements functions and reasonable control
                     62: structures for programs.
                     63: .Pp
                     64: Ordinarily,
                     65: .Nm
                     66: operates on decimal integers,
                     67: but one may specify an input base, output base,
                     68: and a number of fractional digits (scale) to be maintained.
1.1       otto       69: If an argument is given,
                     70: input is taken from that file until its end,
                     71: then from the standard input.
1.2       jmc        72: Whitespace is ignored, expect where it signals the end of a number,
1.1       otto       73: end of a line or when a register name is expected.
                     74: The following constructions are recognized:
1.2       jmc        75: .Bl -tag -width "number"
1.1       otto       76: .It Va number
                     77: The value of the number is pushed on the stack.
                     78: A number is an unbroken string of the digits 0\-9 and letters A\-F.
1.2       jmc        79: It may be preceded by an underscore
                     80: .Pq Sq _
                     81: to input a negative number.
                     82: A number may contain a single decimal point.
1.1       otto       83: A number may also contain the characters A\-F, with the values 10\-15.
1.2       jmc        84: .It Cm "+ - / * % ^"
1.1       otto       85: The
                     86: top two values on the stack are added
                     87: (+),
                     88: subtracted
                     89: (\-),
                     90: multiplied (*),
                     91: divided (/),
                     92: remaindered (%),
                     93: or exponentiated (^).
                     94: The two entries are popped off the stack;
                     95: the result is pushed on the stack in their place.
                     96: Any fractional part of an exponent is ignored.
                     97: .Pp
                     98: For addition and subtraction, the scale of the result is the maximum
                     99: of scales of the operands.
                    100: For division the scale of the result is defined
                    101: by the scale set by the
                    102: .Ar k
                    103: operation.
1.2       jmc       104: For multiplication, the scale is defined by the expression
                    105: .Sy min(a+b,max(a,b,scale)) ,
1.1       otto      106: where
                    107: .Sy a
                    108: and
                    109: .Sy b
                    110: are the scales of the operands, and
                    111: .Sy scale
1.2       jmc       112: is the scale defined by the
1.1       otto      113: .Ar k
                    114: operation.
                    115: For exponentation with a non-negative exponent, the scale of the result is
1.2       jmc       116: .Sy min(a*b,max(scale,a)) ,
1.1       otto      117: where
                    118: .Sy a
                    119: is the scale of the base, and
                    120: .Sy b
                    121: is the
                    122: .Em value
                    123: of the exponent.
                    124: If the exponent is negative, the scale of the result is the scale
                    125: defined by the
                    126: .Ar k
                    127: operation.
                    128: .It Ic s Ns Ar x
                    129: The
                    130: top of the stack is popped and stored into
                    131: a register named
                    132: .Ar x ,
                    133: where
                    134: .Ar x
                    135: may be any character, including space, tab or any other special character.
                    136: If the
                    137: .Ar s
                    138: is capitalized,
                    139: .Ar x
                    140: is treated as a stack and the value is pushed on it.
                    141: .It Ic l Ns Ar x
                    142: The
                    143: value in register
                    144: .Ar x
                    145: is pushed on the stack.
                    146: The register
                    147: .Ar x
                    148: is not altered.
1.4       otto      149: Initially, all registers contain the value zero.
1.1       otto      150: If the
                    151: .Ar l
                    152: is capitalized,
                    153: register
                    154: .Ar x
                    155: is treated as a stack and its top value is popped onto the main stack.
                    156: .It Ic d
                    157: The top value on the stack is duplicated.
                    158: .It Ic p
                    159: The top value on the stack is printed with a trailing newline.
                    160: The top value remains unchanged.
                    161: .It Ic P
                    162: The top of the stack is popped.
1.2       jmc       163: If the top of the stack is a string, it is printed without a trailing newline.
1.1       otto      164: If the top of the stack is a number, it is interpreted as a
                    165: base 256 number, and each digit of this base 256 number is printed as
                    166: an
                    167: .Tn ASCII
                    168: character, without a trailing newline.
                    169: .It Ic f
                    170: All values on the stack are printed, separated by newlines.
                    171: .It Ic q
                    172: Exits the program.
                    173: If executing a string, the recursion level is
                    174: popped by two.
                    175: If
                    176: .Ar q
                    177: is capitalized,
                    178: the top value on the stack is popped and the string execution level is popped
                    179: by that value.
                    180: .It Ic x
                    181: Treats the top element of the stack as a character string
                    182: and executes it as a string of
                    183: .Nm
                    184: commands.
                    185: .It Ic X
1.2       jmc       186: Replaces the number on the top of the stack with its scale factor.
                    187: If the top of the stack is a string, replace it with the integer 0.
1.1       otto      188: .It Cm [ Ns ... Ns Cm ]
                    189: Puts the bracketed
                    190: .Tn ASCII
                    191: string onto the top of the stack.
1.5     ! otto      192: If the string includes brackets, these must be properly balanced.
        !           193: The backslash character \e\ may be used as an escape character, making it
        !           194: possible to include unbalanced brackets in strings.
        !           195: To include a backslash into a string, use a double backslash.
1.1       otto      196: .It Xo
                    197: .Cm < Ns Va x
                    198: .Cm > Ns Va x
                    199: .Cm = Ns Va x
                    200: .Cm !< Ns Va x
                    201: .Cm !> Ns Va x
                    202: .Cm != Ns Va x
                    203: .Xc
                    204: The top two elements of the stack are popped and compared.
                    205: Register
                    206: .Ar x
                    207: is executed if they obey the stated
                    208: relation.
                    209: .It Ic v
                    210: Replaces the top element on the stack by its square root.
                    211: The scale of the result is the maximum of the scale of the argument
                    212: and the current value of scale.
1.2       jmc       213: .It Ic \&!
1.1       otto      214: Interprets the rest of the line as a
                    215: .Ux
                    216: command.
                    217: .It Ic c
                    218: All values on the stack are popped.
                    219: .It Ic i
                    220: The top value on the stack is popped and used as the
1.2       jmc       221: base for further input.
                    222: The initial input base is 10.
1.1       otto      223: .Ic I
                    224: Pushes the input base on the top of the stack.
                    225: .It Ic o
                    226: The top value on the stack is popped and used as the
1.2       jmc       227: base for further output.
                    228: The initial output base is 10.
1.1       otto      229: .It Ic O
                    230: Pushes the output base on the top of the stack.
                    231: .It Ic k
                    232: The top of the stack is popped, and that value is used as
                    233: a non-negative scale factor:
                    234: the appropriate number of places
                    235: are printed on output,
                    236: and maintained during multiplication, division, and exponentiation.
                    237: The interaction of scale factor,
                    238: input base, and output base will be reasonable if all are changed
                    239: together.
                    240: .It Ic K
                    241: The current scale factor is pushed onto the stack.
                    242: .It Ic z
                    243: The stack level is pushed onto the stack.
                    244: .It Ic Z
                    245: Replaces the number on the top of the stack with its length.
                    246: The length of a string is its number of characters.
                    247: The length of a number is its number of digits, not counting the minus sign
                    248: and decimal point.
1.2       jmc       249: .It Ic \&?
1.1       otto      250: A line of input is taken from the input source (usually the terminal)
                    251: and executed.
                    252: .It Ic : Ns Ar r
1.2       jmc       253: Pop two values from the stack.
                    254: The second value on the stack is stored into the array
1.1       otto      255: .Ar r
                    256: indexed by the top of stack.
                    257: .It Ic ; Ns Ar r
1.2       jmc       258: Pop a value from the stack.
                    259: The value is used as an index into register
1.1       otto      260: .Ar r .
                    261: The value in this register is pushed onto the stack.
                    262: .Pp
1.2       jmc       263: Array elements initially have the value zero.
1.1       otto      264: Each level of a stacked register has its own array associated with
                    265: it.
                    266: The command sequence
1.2       jmc       267: .Bd -literal -offset indent
1.1       otto      268: [first] 0:a [dummy] Sa [second] 0:a 0;a p La 0;a p
                    269: .Ed
                    270: .Pp
                    271: will print
1.2       jmc       272: .Bd -literal -offset indent
1.1       otto      273: second
                    274: first
                    275: .Ed
                    276: .Pp
                    277: since the string
                    278: .Ql second
                    279: is written in an array that is later popped, to reveal the array that
                    280: stored
                    281: .Ql first .
                    282: .El
                    283: .Sh EXAMPLES
                    284: An example which prints the first ten values of
1.2       jmc       285: .Ic n! :
                    286: .Bd -literal -offset indent
1.1       otto      287: [la1+dsa*pla10>y]sy
                    288: 0sa1
                    289: lyx
                    290: .Ed
                    291: .Pp
                    292: Independent of the current input base, the command
1.2       jmc       293: .Bd -literal -offset indent
1.1       otto      294: Ai
                    295: .Ed
                    296: .Pp
                    297: will reset the input base to decimal 10.
                    298: .Sh DIAGNOSTICS
1.2       jmc       299: .Bl -diag
                    300: .It %c (0%o) is unimplemented
1.1       otto      301: an undefined operation was called.
1.2       jmc       302: .It stack empty
1.1       otto      303: for not enough elements on the stack to do what was asked.
1.2       jmc       304: .It stack register '%c' (0%o) is empty
                    305: for an
1.1       otto      306: .Ar L
                    307: operation from a stack register that is empty.
1.2       jmc       308: .It Runtime warning: non-zero scale in exponent
1.1       otto      309: for a fractional part of an exponent that is being ignored.
1.2       jmc       310: .It divide by zero
1.1       otto      311: for trying to divide by zero.
1.2       jmc       312: .It remainder by zero
1.1       otto      313: for trying to take a remainder by zero.
1.2       jmc       314: .It square root of negative number
1.1       otto      315: for trying to take the square root of a negative number.
1.2       jmc       316: .It index too big
1.1       otto      317: for an array index that is larger than 2048.
1.2       jmc       318: .It negative index
1.1       otto      319: for a negative array index.
1.2       jmc       320: .It input base must be a number between 2 and 16
1.1       otto      321: for trying to set an illegal input base.
1.2       jmc       322: .It output base must be a number greater than 1
1.1       otto      323: for trying to set an illegal input base.
1.2       jmc       324: .It scale must be a nonnegative number
1.1       otto      325: for trying to set a negative or zero scale.
1.2       jmc       326: .It scale too large
1.1       otto      327: for trying to set a scale that is too large.
1.2       jmc       328: A scale must be representable as a 32-bit unsigned number.
                    329: .It Q command argument exceeded string execution depth
1.1       otto      330: for trying to pop the recursion level more than the current
                    331: recursion level.
1.2       jmc       332: .It Q command requires a number >= 1
1.1       otto      333: for trying to pop an illegal number of recursion levels.
1.2       jmc       334: .It recursion too deep
1.1       otto      335: for too many levels of nested execution.
                    336: .Pp
                    337: The recursion level is increased by one if the
                    338: .Ar x
                    339: or
1.2       jmc       340: .Ar ?\&
1.1       otto      341: operation or one of the compare operations resulting in the execution
                    342: of register is executed.
                    343: As an exception, the recursion level is not increased if the operation
                    344: is executed as the last command of a string.
1.2       jmc       345: For example, the commands
                    346: .Bd -literal -offset indent
1.1       otto      347: [lax]sa
                    348: 1 lax
                    349: .Ed
                    350: .Pp
                    351: will execute an endless loop, while the commands
1.2       jmc       352: .Bd -literal -offset indent
1.1       otto      353: [laxp]sa
                    354: 1 lax
                    355: .Ed
                    356: .Pp
                    357: will terminate because of a too deep recursion level.
                    358: .El
                    359: .Sh SEE ALSO
1.2       jmc       360: .Xr bc 1
1.1       otto      361: .Pp
                    362: USD:05
                    363: .Em "DC \- An Interactive Desk Calculator"
                    364: .Sh STANDARDS
                    365: The arithmetic operations of the
                    366: .Nm
                    367: utility are expected to conform to the definition listed in the
                    368: .Xr bc 1
                    369: section of the
                    370: .St -p1003.2
                    371: specification.
                    372: .Sh HISTORY
                    373: The
                    374: .Nm
                    375: command first appeared in
                    376: .At v6 .
                    377: A complete rewrite of the
                    378: .Nm
                    379: command using the
                    380: .Xr bn 3
                    381: big number routines first appeared in
                    382: .Ox 3.5 .
                    383: .Sh AUTHORS
                    384: The original version of the
                    385: .Nm
                    386: command was written by
                    387: .An Robert Morris
                    388: and
                    389: .An Lorinda Cherry .
                    390: The current version of the
                    391: .Nm
                    392: utility was written by
                    393: .An Otto Moerbeek .