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https://issues.apache.org/jira/browse/CALCITE-4837?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=17425769#comment-17425769
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Julian Hyde commented on CALCITE-4837:
--------------------------------------

Ok, so the following formulas probably work:
 * {{millennium(y) = floor((y + 999) / 1000)}},
 * {{century(y) = floor((y + 99) / 100)}}.

Just in case people misunderstand what you wrote. For SQL's purposes, it 
doesn't matter whether we are in a 'Gregorian calendar country'. EXTRACT, FLOOR 
and CEIL do not consult timezone or locale, just work on a zoneless DATE or 
TIMESTAMP value.

> FLOOR and CEIL of DATE/TIMESTAMP return wrong results for DECADE, CENTURY and 
> MILLENNIUM
> ----------------------------------------------------------------------------------------
>
>                 Key: CALCITE-4837
>                 URL: https://issues.apache.org/jira/browse/CALCITE-4837
>             Project: Calcite
>          Issue Type: Bug
>          Components: avatica, core
>            Reporter: Sergey Nuyanzin
>            Priority: Major
>          Time Spent: 10m
>  Remaining Estimate: 0h
>
> The query to reproduce
> {code:sql}
> select floor(t to decade) as floor_decade,      
>         ceil(t to decade) as ceil_decade,
>         floor(t to century) as floor_century,
>         ceil(t to century) as ceil_century,
>         floor(t to millennium) as floor_millennium,
>         ceil(t to millennium) as ceil_millennium
>  from (values(date '2021-10-07')) t;
> {code}
> it produces output
> {noformat}
> +--------------+-------------+--------------+--------------+------------------+-----------------+
> | FLOOR_DECADE | CEIL_DECADE | FLOOR_CENTURY | CEIL_CENTURY | 
> FLOOR_MILLENNIUM | CEIL_MILLENNIUM |
> +--------------+-------------+--------------+--------------+------------------+-----------------+
> | 2021-08-01   | 2021-11-29  | 2019-04-14   | 2022-07-27   | 2002-11-09       
> | 2035-09-17      |
> +--------------+-------------+--------------+--------------+------------------+-----------------+
> {noformat}
> expected
> {noformat}
> +--------------+-------------+--------------+--------------+------------------+-----------------+
> | FLOOR_DECADE | CEIL_DECADE | FLOOR_CENTURY | CEIL_CENTURY | 
> FLOOR_MILLENNIUM | CEIL_MILLENNIUM |
> +--------------+-------------+--------------+--------------+------------------+-----------------+
> | 2020-01-01   | 2030-01-01  | 2000-01-01   | 2100-01-01   | 2000-01-01       
> | 3000-01-01      |
> +--------------+-------------+--------------+--------------+------------------+-----------------+
> {noformat}



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