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BC(1) General Commands Manual BC(1)

NAME

bcarbitrary-precision arithmetic language and calculator

SYNOPSIS

bc [-cl] [-e expression] [file ...]

DESCRIPTION

bc is an interactive processor for a language which resembles C but provides unlimited precision arithmetic. It takes input from any expressions on the command line and any files given, then reads the standard input.
Options available:
 
 
-c
bc is actually a preprocessor for dc(1), which it invokes automatically, unless the -c (compile only) option is present. In this case the generated dc(1) instructions are sent to the standard output, instead of being interpreted by a running dc(1) process.
 
 
-e expression
Evaluate expression. If multiple -e options are specified, they are processed in the order given, separated by newlines.
 
 
-l
Include an arbitrary precision math library. The definitions in the library are available to command line expressions and are documented below.
The syntax for bc programs is as follows: ‘L’ means letter a-z; ‘E’ means expression; ‘S’ means statement. As a non-portable extension, it is possible to use long names in addition to single letter names. A long name is a sequence starting with a lowercase letter followed by any number of lowercase letters and digits. The underscore character (‘_’) counts as a letter.
Comments
are enclosed in /* and */ 
are enclosed in # and the next newline
The newline is not part of the line comment, which in itself is a non-portable extension.
Names
simple variables: L 
array elements: L [ E ] 
The words `ibase', `obase', and `scale' 
The word `last' or a single dot
Other operands
arbitrarily long numbers with optional sign and decimal point 
( E ) 
sqrt ( E ) 
length ( E )	number of significant decimal digits 
scale ( E )	number of digits right of decimal point 
L ( E , ... , E )
The sequence ‘\<newline><whitespace>’ is ignored within numbers.
Operators
The following arithmetic and logical operators can be used. The semantics of the operators is the same as in the C language. They are listed in order of decreasing precedence. Operators in the same group have the same precedence.
Operator Associativity Description
++ -- none increment, decrement
- none unary minus
^ right power
* / % left multiply, divide, modulus
+ - left plus, minus
= += -= *= /= %= ^= right assignment
== <= >= != < > none relational
! none boolean not
&& left boolean and
|| left boolean or
Note the following:
Statements
E 
{ S ; ... ; S } 
if ( E ) S 
if ( E ) S else S 
while ( E ) S 
for ( E ; E ; E ) S 
null statement 
break 
continue 
quit 
a string of characters, enclosed in double quotes 
print E ,..., E
A string may contain any character, except double quote. The if statement with an else branch is a non-portable extension. All three E's in a for statement may be empty. This is a non-portable extension. The continue and print statements are also non-portable extensions.
The print statement takes a list of comma-separated expressions. Each expression in the list is evaluated and the computed value is printed and assigned to the variable `last'. No trailing newline is printed. The expression may also be a string enclosed in double quotes. Within these strings the following escape sequences may be used: ‘\a’ for bell (alert), ‘\b’ for backspace, ‘\f’ for formfeed, ‘\n’ for newline, ‘\r’ for carriage return, ‘\t’ for tab, ‘\q’ for double quote and ‘\\’ for backslash. Any other character following a backslash will be ignored. Strings will not be assigned to `last'.
Function definitions
define L ( L ,..., L ) { 
	auto L, ... , L 
	S; ... S 
	return ( E ) 
}
As a non-portable extension, the opening brace of the define statement may appear on the next line. The return statement may also appear in the following forms:
return 
return () 
return E
The first two are equivalent to the statement “return 0”. The last form is a non-portable extension. Not specifying a return statement is equivalent to writing “return (0)”.
Functions available in the math library, which is loaded by specifying the -l flag on the command line:
s(x)
sine
c(x)
cosine
e(x)
exponential
l(x)
log
a(x)
arctangent
j(n,x)
Bessel function
All function arguments are passed by value.
The value of a statement that is an expression is printed unless the main operator is an assignment. The value printed is assigned to the special variable `last'. This is a non-portable extension. A single dot may be used as a synonym for `last'. Either semicolons or newlines may separate statements. Assignment to scale influences the number of digits to be retained on arithmetic operations in the manner of dc(1). Assignments to ibase or obase set the input and output number radix respectively.
The same letter may be used as an array, a function, and a simple variable simultaneously. All variables are global to the program. `Auto' variables are pushed down during function calls. When using arrays as function arguments or defining them as automatic variables, empty square brackets must follow the array name.
For example
scale = 20 
define e(x){ 
	auto a, b, c, i, s 
	a = 1 
	b = 1 
	s = 1 
	for(i=1; 1==1; i++){ 
		a = a*x 
		b = b*i 
		c = a/b 
		if(c == 0) return(s) 
		s = s+c 
	} 
}
defines a function to compute an approximate value of the exponential function and
for(i=1; i<=10; i++) e(i)
prints approximate values of the exponential function of the first ten integers.
$ bc -l -e 'scale = 500; 4 * a(1)' -e quit
prints an approximation of pi.

COMMAND LINE EDITING

bc supports interactive command line editing, via the editline(3) library. It is enabled by default if input is from a tty. Previous lines can be recalled and edited with the arrow keys, and other GNU Emacs-style editing keys may be used as well.
The editline(3) library is configured with a .editrc file - refer to editrc(5) for more information.

FILES

/usr/share/misc/bc.library
math library, read when the -l option is specified on the command line.

SEE ALSO

dc(1)

STANDARDS

The bc utility is compliant with the IEEE Std 1003.1-2008 (“POSIX.1”) specification.
The flags [-ce], as well as the parts noted above, are extensions to that specification.

HISTORY

The bc command first appeared in Version 6 AT&T UNIX. A complete rewrite of the bc command first appeared in OpenBSD 3.5.

AUTHORS

The original version of the bc command was written by Robert Morris and Lorinda Cherry. The current version of the bc utility was written by Otto Moerbeek.

BUGS

The ‘quit’ statement is interpreted when read, not when executed.
Some non-portable extensions, as found in the GNU version of the bc utility are not implemented (yet).
October 9, 2017 OpenBSD-current