Numeric Functions
Integer Functions
The following standard functions (defined in the ArithmeticPackage
but excluded if
using a raw Engine
) operate on integers only.
Function | Description |
---|---|
is_odd method and property | returns true if the value is an odd number, otherwise false |
is_even method and property | returns true if the value is an even number, otherwise false |
The following standard functions (defined in the BasicMathPackage
but excluded if
using a raw Engine
) operate on integers only.
Function | Not available under | Description |
---|---|---|
to_float | no_float | convert the value into f64 (f32 under f32_float ) |
to_decimal | non-decimal | convert the value into Decimal |
Signed Numeric Functions
The following standard functions (defined in the ArithmeticPackage
but excluded if
using a raw Engine
) operate on i8
, i16
, i32
, i64
, f32
, f64
and Decimal
(requires
decimal
) only.
Function | Description |
---|---|
abs | absolute value |
sign | returns (INT ) −1 if negative, +1 if positive, 0 if zero |
is_zero method and property | returns true if the value is zero, otherwise false |
Floating-Point Functions
The following standard functions (defined in the BasicMathPackage
but excluded if
using a raw Engine
) operate on f64
(f32
under f32_float
) and Decimal
(requires decimal
) only.
Category | Supports Decimal | Functions |
---|---|---|
Trigonometry | yes | sin , cos , tan |
Trigonometry | no | sinh , cosh , tanh in radians, hypot( x, y) |
Arc-trigonometry | no | asin , acos , atan( v) , atan( x, y) , asinh , acosh , atanh in radians |
Square root | yes | sqrt |
Exponential | yes | exp (base e) |
Logarithmic | yes | ln (base e) |
Logarithmic | yes | log (base 10) |
Logarithmic | no | log( x, base) |
Rounding | yes | floor , ceiling , round , int , fraction methods and properties |
Conversion | yes | to_int , to_decimal (requires decimal ), to_float (not under no_float ) |
Conversion | no | to_degrees , to_radians |
Testing | no | is_nan , is_finite , is_infinite methods and properties |
Decimal Rounding Functions
The following rounding methods (defined in the BasicMathPackage
but excluded if using a raw Engine
)
operate on Decimal
only, which requires the decimal
feature.
Rounding type | Behavior | Methods |
---|---|---|
None | floor , ceiling , int , fraction methods and properties | |
Banker’s rounding | round to integer | round method and property |
Banker’s rounding | round to specified number of decimal points | round( decimal points) |
Round up | away from zero | round_up( decimal points) |
Round down | towards zero | round_down( decimal points) |
Round half-up | mid-point away from zero | round_half_up( decimal points) |
Round half-down | mid-point towards zero | round_half_down( decimal points) |
Parsing Functions
The following standard functions (defined in the BasicMathPackage
but excluded if using a raw Engine
)
parse numbers.
Function | No available under | Description |
---|---|---|
parse_int | converts a string to INT with an optional radix | |
parse_float | no_float and non-decimal | converts a string to FLOAT (Decimal under no_float and decimal ) |
parse_decimal | non-decimal | converts a string to Decimal |
Formatting Functions
The following standard functions (defined in the BasicStringPackage
but excluded if using a raw Engine
)
convert integer numbers into a string of hex, octal or binary representations.
Function | Description |
---|---|
to_binary | converts an integer number to binary |
to_octal | converts an integer number to octal |
to_hex | converts an integer number to hex |
These formatting functions are defined for all available integer numbers – i.e. INT
, u8
, i8
,
u16
, i16
, u32
, i32
, u64
, i64
, u128
and i128
unless disabled by feature flags.
Floating-point Constants
The following functions return standard mathematical constants.
Function | Description |
---|---|
PI | returns the value of π |
E | returns the value of e |