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The rules that rewrite min(floordiv(x + (A-1), A) * A, max(x, A)) and min(truncdiv(x + (A-1), A) * A, max(x, A)) into max(x, A) did not have sufficiently tight bounds. The truncdiv rule required that x >= 0, while the floordiv rule had no requirement on x. In both cases, the simplification was incorrect when x==0, as it would result in a rewrite from min(0, max(0, A)) into max(0, A).

This commit updates the rules to require that x >= 0 for each of these rules.

The rules that rewrite `min(floordiv(x + (A-1), A) * A, max(x, A))`
and `min(truncdiv(x + (A-1), A) * A, max(x, A))` into `max(x, A)` did
not have sufficiently tight bounds.  The `truncdiv` rule required that
`x >= 0`, while the `floordiv` rule had no requirement on `x`.  In
both cases, the simplification was incorrect when `x==0`, as it would
result in a rewrite from `min(0, max(0, A))` into `max(0, A)`.

This commit updates the rules to require that `x >= 0` for each of
these rules.
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@tqchen
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tqchen commented Feb 6, 2023

cc @wrongtest-intellif

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x >= 0

Hi :) , is it a typo for x > 0? @Lunderberg

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LGTM!

Another helper view is when x % A == 0, min(ceildiv(x, A), max(x, a)) == x, thus we should exclude the case x==0 when max(x, A) != x

@wrongtest-intellif wrongtest-intellif merged commit 282f175 into apache:main Feb 7, 2023
@Lunderberg
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Hi :) , is it a typo for x > 0? @Lunderberg

Thank you, and yes, that was a typo. The condition was updated to require x > 0.

@Lunderberg Lunderberg deleted the update_min_of_div_rules branch February 7, 2023 14:24
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4 participants