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commit 88cd41d7355a3528e43c5a6754da59228c048dc9
parent 07674c3a8eb28b32529ebaf1df5546cd78ceb64d
Author: Mattias Andrée <>
Date:   Wed,  1 Jun 2016 19:38:15 +0200

Manual: division algorithm

Signed-off-by: Mattias Andrée <>

doc/arithmetic.tex | 16++++++++++++++--
1 file changed, 14 insertions(+), 2 deletions(-)

diff --git a/doc/arithmetic.tex b/doc/arithmetic.tex @@ -223,7 +223,7 @@ lend you a hand. \noindent Now to the weird ones that will more often than -not award you a face-slap. % Hade positive punishment +not award you a face-slap. % Had positive punishment % been legal or even mildly pedagogical. But I would % not put it past Coca-Cola. @@ -306,7 +306,19 @@ not award you a face-slap. % Hade positive punishment \} \end{alltt} -% TODO zdivmod's algorithm +Currently, libzahl uses an almost trivial division +algorithm. It operates on positive numbers. It begins +by left-shifting the divisor as must as possible with +letting it exceed the dividend. Then, it subtracts +the shifted divisor from the dividend and add 1, +left-shifted as much as the divisor, to the quotient. +The quotient begins at 0. It then right-shifts +the shifted divisor as little as possible until +it no longer exceeds the diminished dividend and +marks the shift in the quotient. This process is +repeated on till the unshifted divisor is greater +than the diminished dividend. The final diminished +dividend is the remainder.