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Converted all ASCII tabs to ASCII spaces using a 8 character
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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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24
help/rcmul
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@@ -5,11 +5,11 @@ SYNOPSIS
rcmul(x, y, m)
TYPES
x integer
y integer
m odd positive integer
x integer
y integer
m odd positive integer
return integer v, 0 <= v < m.
return integer v, 0 <= v < m.
DESCRIPTION
Let B be the base calc uses for representing integers internally
@@ -22,18 +22,18 @@ DESCRIPTION
The normal use of rcmul() may be said to be that of multiplying modulo m
values encoded by rcin() and REDC functions, as in:
rcin(x * y, m) = rcmul(rcin(x,m), rcin(y,m), m),
rcin(x * y, m) = rcmul(rcin(x,m), rcin(y,m), m),
or with only one factor encoded:
x * y % m = rcmul(rcin(x,m), y, m).
x * y % m = rcmul(rcin(x,m), y, m).
RUNTIME
If the value of m in rcmul(x,y,m) is being used for the first time
in a REDC function, the information required for the REDC
algorithms is calculated and stored for future use, possibly
replacing an already stored valued, in a table covering up to 5
(i.e. MAXREDC) values of m. The runtime required for this is about
(i.e. MAXREDC) values of m. The runtime required for this is about
two times that required for multiplying two N-word integers.
Two algorithms are available for evaluating rcmul(x,y,m), the one
@@ -69,7 +69,7 @@ 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
@@ -77,8 +77,8 @@ 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: 1996/02/25 02:22:21
## File existed as early as: 1996
## Under source code control: 1996/02/25 02:22:21
## File existed as early as: 1996
##
## 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/