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Some folks might think: “you still use RCS”?!? And we will say, hey, at least we switched from SCCS to RCS back in … I think it was around 1994 ... at least we are keeping up! :-) :-) :-) Logs say that SCCS version 18 became RCS version 19 on 1994 March 18. RCS served us well. But now it is time to move on. And so we are switching to git. Calc releases produce a lot of file changes. In the 125 releases of calc since 1996, when I started managing calc releases, there have been 15473 file mods!
111 lines
3.4 KiB
Plaintext
111 lines
3.4 KiB
Plaintext
NAME
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quo - compute integer quotient of a value by a real number
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SYNOPSIS
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quo(x, y, rnd) or x // y
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TYPES
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If x is a matrix or list, the returned value is a matrix or list v of
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the same structure for which each element v[[i]] = quo(x[[i]], y, rnd).
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If x is an xx-object or x is not an object and y is an xx-object,
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this function calls the user-defined function xx_quo(x, y, rnd);
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the types of arguments and returned value are as required by the
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definition of xx_quo().
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If neither x nor y is an object, and x is not a matrix or list:
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x number (real or complex)
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y real
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rnd integer, defaults to config("quo")
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return number
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DESCRIPTION
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If x is real or complex and y is zero, quo(x, y, rnd) returns zero.
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If x is complex, quo(x, y, rnd) returns
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quo(re(x), y, rnd) + quo(im(x), y, rnd) * 1i.
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In the following it is assumed that x is real and y is nonzero.
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If x/y is an integer quo(x, y, rnd) returns x/y.
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If x is real, y nonzero and x/y is not an integer, x // y returns
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one of the two integers v for which abs(x/y - v) < 1. Which
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integer is returned is controlled by rnd as follows:
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rnd sign of x/y - v Description of rounding
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0 + down, towards minus infinity
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1 - up, towards infinity
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2 sgn(x/y) towards zero
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3 -sgn(x/y) from zero
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4 sgn(y)
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5 -sgn(y)
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6 sgn(x)
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7 -sgn(x)
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8 to nearest even integer
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9 to nearest odd integer
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10 even if x/y > 0, otherwise odd
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11 odd if x/y > 0, otherwise even
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12 even if y > 0, otherwise odd
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13 odd if y > 0, otherwise even
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14 even if x > 0, otherwise odd
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15 odd if x > 0, otherwise even
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16-31 to nearest integer when this
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is uniquely determined;
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otherwise, when x/y is a
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half-integer, as if
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rnd replaced by rnd & 15
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NOTE: Blank entries in the table above indicate that the
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description would be complicated and probably not of
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much interest.
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The C language method of modulus and integer division is:
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config("quomod", 2)
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config("quo", 2)
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config("mod", 2)
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EXAMPLE
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print quo(11,5,0), quo(11,5,1), quo(-11,5,2), quo(-11,-5,3)
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2 3 -2 3
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print quo(12.5,5,16), quo(12.5,5,17), quo(12.5,5,24), quo(-7.5,-5,24)
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2 3 2 2
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LIMITS
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none
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LINK LIBRARY
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void quovalue(VALUE *x, VALUE *y, VALUE *rnd, VALUE *result)
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NUMBER *qquo(NUMBER *x, NUMBER *y, long rnd)
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SEE ALSO
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mod, quomod, //, %
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## Copyright (C) 1999 Landon Curt Noll
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##
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## Calc is open software; you can redistribute it and/or modify it under
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## the terms of the version 2.1 of the GNU Lesser General Public License
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## as published by the Free Software Foundation.
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##
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## Calc is distributed in the hope that it will be useful, but WITHOUT
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## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
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## Public License for more details.
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##
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## A copy of version 2.1 of the GNU Lesser General Public License is
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## distributed with calc under the filename COPYING-LGPL. You should have
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## received a copy with calc; if not, write to Free Software Foundation, Inc.
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## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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##
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## Under source code control: 1995/09/18 04:01:44
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## File existed as early as: 1995
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##
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## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
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## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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