NAME
    quo - compute integer quotient of a value by a real number

SYNOPSIS
    quo(x, y, rnd) or x // y

TYPES
    If x is a matrix or list, the returned value is a matrix or list v of
    the same structure for which each element v[[i]] = quo(x[[i]], y, rnd).

    If x is an xx-object or x is not an object and y is an xx-object,
    this function calls the user-defined function xx_quo(x, y, rnd);
    the types of arguments and returned value are as required by the
    definition of xx_quo().

    If neither x nor y is an object, and x is not a matrix or list:

    x		number (real or complex)
    y		real
    rnd		integer, defaults to config("quo")

    return	number

DESCRIPTION
    If x is real or complex and y is zero, quo(x, y, rnd) returns zero.

    If x is complex, quo(x, y, rnd) returns
		 quo(re(x), y, rnd) + quo(im(x), y, rnd) * 1i.

    In the following it is assumed that x is real and y is nonzero.

    If x/y is an integer quo(x, y, rnd) returns x/y.

    If x is real, y nonzero and x/y is not an integer, x // y returns
   one of the two integers v for which abs(x/y - v) < 1.  Which
   integer is returned is controlled by rnd as follows:

		rnd	sign of x/y - v		Description of rounding

		0	      +			down, towards minus infinity
		1	      -			up, towards infinity
		2	    sgn(x/y)		towards zero
		3	   -sgn(x/y)		from zero
		4	    sgn(y)
		5	   -sgn(y)
		6	    sgn(x)
		7	   -sgn(x)
		8				to nearest even integer
		9				to nearest odd integer
	       10				even if x/y > 0, otherwise odd
	       11				odd if x/y > 0, otherwise even
	       12				even if y > 0, otherwise odd
	       13				odd if y > 0, otherwise even
	       14				even if x > 0, otherwise odd
	       15				odd if x > 0, otherwise even

	     16-31				to nearest integer when this
						is uniquely determined;
						otherwise, when x/y is a
						half-integer, as if
						rnd replaced by rnd & 15

		NOTE: Blank entries in the table above indicate that the
		     description would be complicated and probably not of
		     much interest.

    The C language method of modulus and integer division is:

	    config("quomod", 2)
	    config("quo", 2)
	    config("mod", 2)

EXAMPLE
    print quo(11,5,0), quo(11,5,1), quo(-11,5,2), quo(-11,-5,3)
    2 3 -2 3

    print quo(12.5,5,16), quo(12.5,5,17), quo(12.5,5,24), quo(-7.5,-5,24)
    2 3 2 2

LIMITS
    none

LINK LIBRARY
    void quovalue(VALUE *x, VALUE *y, VALUE *rnd, VALUE *result)
    NUMBER *qquo(NUMBER *x, NUMBER *y, long rnd)

SEE ALSO
    mod, quomod, //, %

## Copyright (C) 1999  Landon Curt Noll
##
## Calc is open software; you can redistribute it and/or modify it under
## the terms of the version 2.1 of the GNU Lesser General Public License
## as published by the Free Software Foundation.
##
## Calc is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
## or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
## Public License for more details.
##
## A copy of version 2.1 of the GNU Lesser General Public License is
## distributed with calc under the filename COPYING-LGPL.  You should have
## received a copy with calc; if not, write to Free Software Foundation, Inc.
## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
##
## @(#) $Revision: 30.1 $
## @(#) $Id: quo,v 30.1 2007/03/16 11:10:42 chongo Exp $
## @(#) $Source: /usr/local/src/bin/calc/help/RCS/quo,v $
##
## Under source code control:	1995/09/18 04:01:44
## File existed as early as:	1995
##
## chongo <was here> /\oo/\	http://www.isthe.com/chongo/
## Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/
