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Manual: division algorithm - libzahl - big integer library |
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git clone git://git.suckless.org/libzahl |
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commit 88cd41d7355a3528e43c5a6754da59228c048dc9 |
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parent 07674c3a8eb28b32529ebaf1df5546cd78ceb64d |
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Author: Mattias Andrée <[email protected]> |
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Date: Wed, 1 Jun 2016 19:38:15 +0200 |
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Manual: division algorithm |
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Signed-off-by: Mattias Andrée <[email protected]> |
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Diffstat: |
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M doc/arithmetic.tex | 16 ++++++++++++++-- |
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1 file changed, 14 insertions(+), 2 deletions(-) |
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--- |
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diff --git a/doc/arithmetic.tex b/doc/arithmetic.tex |
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@@ -223,7 +223,7 @@ lend you a hand. |
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\noindent |
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Now to the weird ones that will more often than |
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-not award you a face-slap. % Hade positive punishment |
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+not award you a face-slap. % Had positive punishment |
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% been legal or even mildly pedagogical. But I would |
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% not put it past Coca-Cola. |
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@@ -306,7 +306,19 @@ not award you a face-slap. % Hade positive punishment |
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\} |
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\end{alltt} |
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-% TODO zdivmod's algorithm |
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+Currently, libzahl uses an almost trivial division |
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+algorithm. It operates on positive numbers. It begins |
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+by left-shifting the divisor as must as possible with |
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+letting it exceed the dividend. Then, it subtracts |
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+the shifted divisor from the dividend and add 1, |
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+left-shifted as much as the divisor, to the quotient. |
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+The quotient begins at 0. It then right-shifts |
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+the shifted divisor as little as possible until |
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+it no longer exceeds the diminished dividend and |
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+marks the shift in the quotient. This process is |
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+repeated on till the unshifted divisor is greater |
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+than the diminished dividend. The final diminished |
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+dividend is the remainder. |
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