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This commit is contained in:
Landon Curt Noll
2024-07-11 22:03:52 -07:00
parent fe9cefe6ef
commit db77e29a23
631 changed files with 90607 additions and 90600 deletions
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help/quo
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@@ -15,17 +15,17 @@ TYPES
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")
x number (real or complex)
y real
rnd integer, defaults to config("quo")
return number
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.
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.
@@ -35,40 +35,40 @@ DESCRIPTION
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
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
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
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.
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)
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)
@@ -95,7 +95,7 @@ SEE ALSO
##
## 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
## 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
@@ -103,8 +103,8 @@ SEE ALSO
## received a copy with calc; if not, write to Free Software Foundation, Inc.
## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
##
## Under source code control: 1995/09/18 04:01:44
## File existed as early as: 1995
## 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/
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/