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feat: add round function (#322)
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@vibhatha
vibhatha authored Feb 9, 2023
1 parent af769d4 commit 57121c8
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241 changes: 241 additions & 0 deletions extensions/functions_rounding.yaml
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Expand Up @@ -27,3 +27,244 @@ scalar_functions:
- value: fp64
name: "x"
return: fp64
-
name: "round"
description: >
Rounding the value `x` to `s` decimal places.
impls:
- args:
- value: i8
name: "x"
description: >
Numerical expression to be rounded.
- value: i32
name: "s"
description: >
Number of decimal places to be rounded to.
When `s` is a positive number, nothing will happen
since `x` is an integer value.
When `s` is a negative number, the rounding is
performed to the nearest multiple of `10^(-s)`.
options:
rounding:
description: >
When a boundary is computed to lie somewhere between two values,
and this value cannot be exactly represented, this specifies how
to round it.
- TIE_TO_EVEN: round to nearest value; if exactly halfway, tie
to the even option.
- TIE_AWAY_FROM_ZERO: round to nearest value; if exactly
halfway, tie away from zero.
- TRUNCATE: always round toward zero.
- CEILING: always round toward positive infinity.
- FLOOR: always round toward negative infinity.
- AWAY_FROM_ZERO: round negative values with FLOOR rule, round positive values with CEILING rule
- TIE_DOWN: round ties with FLOOR rule
- TIE_UP: round ties with CEILING rule
- TIE_TOWARDS_ZERO: round ties with TRUNCATE rule
- TIE_TO_ODD: round to nearest value; if exactly halfway, tie
to the odd option.
values: [ TIE_TO_EVEN, TIE_AWAY_FROM_ZERO, TRUNCATE, CEILING, FLOOR,
AWAY_FROM_ZERO, TIE_DOWN, TIE_UP, TIE_TOWARDS_ZERO, TIE_TO_ODD ]
nullability: DECLARED_OUTPUT
return: i8?
- args:
- value: i16
name: "x"
description: >
Numerical expression to be rounded.
- value: i32
name: "s"
description: >
Number of decimal places to be rounded to.
When `s` is a positive number, nothing will happen
since `x` is an integer value.
When `s` is a negative number, the rounding is
performed to the nearest multiple of `10^(-s)`.
options:
rounding:
description: >
When a boundary is computed to lie somewhere between two values,
and this value cannot be exactly represented, this specifies how
to round it.
- TIE_TO_EVEN: round to nearest value; if exactly halfway, tie
to the even option.
- TIE_AWAY_FROM_ZERO: round to nearest value; if exactly
halfway, tie away from zero.
- TRUNCATE: always round toward zero.
- CEILING: always round toward positive infinity.
- FLOOR: always round toward negative infinity.
- AWAY_FROM_ZERO: round negative values with FLOOR rule, round positive values with CEILING rule
- TIE_DOWN: round ties with FLOOR rule
- TIE_UP: round ties with CEILING rule
- TIE_TOWARDS_ZERO: round ties with TRUNCATE rule
- TIE_TO_ODD: round to nearest value; if exactly halfway, tie
to the odd option.
values: [ TIE_TO_EVEN, TIE_AWAY_FROM_ZERO, TRUNCATE, CEILING, FLOOR,
AWAY_FROM_ZERO, TIE_DOWN, TIE_UP, TIE_TOWARDS_ZERO, TIE_TO_ODD ]
nullability: DECLARED_OUTPUT
return: i16?
- args:
- value: i32
name: "x"
description: >
Numerical expression to be rounded.
- value: i32
name: "s"
description: >
Number of decimal places to be rounded to.
When `s` is a positive number, nothing will happen
since `x` is an integer value.
When `s` is a negative number, the rounding is
performed to the nearest multiple of `10^(-s)`.
options:
rounding:
description: >
When a boundary is computed to lie somewhere between two values,
and this value cannot be exactly represented, this specifies how
to round it.
- TIE_TO_EVEN: round to nearest value; if exactly halfway, tie
to the even option.
- TIE_AWAY_FROM_ZERO: round to nearest value; if exactly
halfway, tie away from zero.
- TRUNCATE: always round toward zero.
- CEILING: always round toward positive infinity.
- FLOOR: always round toward negative infinity.
- AWAY_FROM_ZERO: round negative values with FLOOR rule, round positive values with CEILING rule
- TIE_DOWN: round ties with FLOOR rule
- TIE_UP: round ties with CEILING rule
- TIE_TOWARDS_ZERO: round ties with TRUNCATE rule
- TIE_TO_ODD: round to nearest value; if exactly halfway, tie
to the odd option.
values: [ TIE_TO_EVEN, TIE_AWAY_FROM_ZERO, TRUNCATE, CEILING, FLOOR,
AWAY_FROM_ZERO, TIE_DOWN, TIE_UP, TIE_TOWARDS_ZERO, TIE_TO_ODD ]
nullability: DECLARED_OUTPUT
return: i32?
- args:
- value: i64
name: "x"
description: >
Numerical expression to be rounded.
- value: i32
name: "s"
description: >
Number of decimal places to be rounded to.
When `s` is a positive number, nothing will happen
since `x` is an integer value.
When `s` is a negative number, the rounding is
performed to the nearest multiple of `10^(-s)`.
options:
rounding:
description: >
When a boundary is computed to lie somewhere between two values,
and this value cannot be exactly represented, this specifies how
to round it.
- TIE_TO_EVEN: round to nearest value; if exactly halfway, tie
to the even option.
- TIE_AWAY_FROM_ZERO: round to nearest value; if exactly
halfway, tie away from zero.
- TRUNCATE: always round toward zero.
- CEILING: always round toward positive infinity.
- FLOOR: always round toward negative infinity.
- AWAY_FROM_ZERO: round negative values with FLOOR rule, round positive values with CEILING rule
- TIE_DOWN: round ties with FLOOR rule
- TIE_UP: round ties with CEILING rule
- TIE_TOWARDS_ZERO: round ties with TRUNCATE rule
- TIE_TO_ODD: round to nearest value; if exactly halfway, tie
to the odd option.
values: [ TIE_TO_EVEN, TIE_AWAY_FROM_ZERO, TRUNCATE, CEILING, FLOOR,
AWAY_FROM_ZERO, TIE_DOWN, TIE_UP, TIE_TOWARDS_ZERO, TIE_TO_ODD ]
nullability: DECLARED_OUTPUT
return: i64?
- args:
- value: fp32
name: "x"
description: >
Numerical expression to be rounded.
- value: i32
name: "s"
description: >
Number of decimal places to be rounded to.
When `s` is a positive number, the rounding
is performed to a `s` number of decimal places.
When `s` is a negative number, the rounding is
performed to the left side of the decimal point
as specified by `s`.
options:
rounding:
description: >
When a boundary is computed to lie somewhere between two values,
and this value cannot be exactly represented, this specifies how
to round it.
- TIE_TO_EVEN: round to nearest value; if exactly halfway, tie
to the even option.
- TIE_AWAY_FROM_ZERO: round to nearest value; if exactly
halfway, tie away from zero.
- TRUNCATE: always round toward zero.
- CEILING: always round toward positive infinity.
- FLOOR: always round toward negative infinity.
- AWAY_FROM_ZERO: round negative values with FLOOR rule, round positive values with CEILING rule
- TIE_DOWN: round ties with FLOOR rule
- TIE_UP: round ties with CEILING rule
- TIE_TOWARDS_ZERO: round ties with TRUNCATE rule
- TIE_TO_ODD: round to nearest value; if exactly halfway, tie
to the odd option.
values: [ TIE_TO_EVEN, TIE_AWAY_FROM_ZERO, TRUNCATE, CEILING, FLOOR,
AWAY_FROM_ZERO, TIE_DOWN, TIE_UP, TIE_TOWARDS_ZERO, TIE_TO_ODD ]
nullability: DECLARED_OUTPUT
return: fp32?
- args:
- value: fp64
name: "x"
description: >
Numerical expression to be rounded.
- value: i32
name: "s"
description: >
Number of decimal places to be rounded to.
When `s` is a positive number, the rounding
is performed to a `s` number of decimal places.
When `s` is a negative number, the rounding is
performed to the left side of the decimal point
as specified by `s`.
options:
rounding:
description: >
When a boundary is computed to lie somewhere between two values,
and this value cannot be exactly represented, this specifies how
to round it.
- TIE_TO_EVEN: round to nearest value; if exactly halfway, tie
to the even option.
- TIE_AWAY_FROM_ZERO: round to nearest value; if exactly
halfway, tie away from zero.
- TRUNCATE: always round toward zero.
- CEILING: always round toward positive infinity.
- FLOOR: always round toward negative infinity.
- AWAY_FROM_ZERO: round negative values with FLOOR rule, round positive values with CEILING rule
- TIE_DOWN: round ties with FLOOR rule
- TIE_UP: round ties with CEILING rule
- TIE_TOWARDS_ZERO: round ties with TRUNCATE rule
- TIE_TO_ODD: round to nearest value; if exactly halfway, tie
to the odd option.
values: [ TIE_TO_EVEN, TIE_AWAY_FROM_ZERO, TRUNCATE, CEILING, FLOOR,
AWAY_FROM_ZERO, TIE_DOWN, TIE_UP, TIE_TOWARDS_ZERO, TIE_TO_ODD ]
nullability: DECLARED_OUTPUT
return: fp64?

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