A Collection of Reduction Functions¶
Overview¶
| Function | Initial Value | Type |
|---|---|---|
| sum | 0 | Various |
| avg | 0 | Float |
| min | Int/Float_MAX | Various |
| max | Int/Float_MIN | Various |
sum¶
Description¶
- Sum up all numerical values in a vector:
z = sum(x)
\sum_{i=0}^{n-1} x_i
Type Rules¶
bool -> i32
i8 -> i32
i16 -> i32
i32 -> i32
i64 -> i64
f32 -> f32
f64 -> f64
_ -> domain error
avg¶
Description¶
- Average all numerical values in a vector:
z = avg(x)
\frac{1}{n} * \sum_{i=0}^{n-1} x_i
Type Rules¶
bool -> f32
i8 -> f32
i16 -> f32
i32 -> f32
i64 -> f64
f32 -> f32
f64 -> f64
_ -> domain error
min¶
Description¶
- Minimal values in a vector:
z = min(x) - Initial value is determined by the maximal value of the type of
x.
Type Rules¶
bool -> bool
i8 -> i8
i16 -> i16
i32 -> i32
i64 -> i64
f32 -> f32
f64 -> f64
_ -> domain error
Examples¶
@min((4,9,16):i32)
4:i32
max¶
Description¶
- Maximal values in a vector:
z = max(x) - Initial value is determined by the minimal value of the type of
x.
Type Rules¶
bool -> bool
i8 -> i8
i16 -> i16
i32 -> i32
i64 -> i64
f32 -> f32
f64 -> f64
_ -> domain error
Examples¶
@min((4,9,16):i32)
16:i32