complex

absolute value using `|a|` built from a `prefix |` and `postfix |` as an operator
alias of `a.abs`

Due to the low precedence of `|`, this works also on expressions like `|a-b|`, even
with spaces `| a-b |`, `|a - b|`, `| a-b|` or `|a-b |`.

Nesting, however, does not work, e.g, `| - |a| |`, this requires parenthese `|(- |a|)|`.

NYI: CLEANUP: Due to #3081, we need `postfix |` as the first operation, should be
`prefix |` first

absolute value

this numeric value as an u8

Get the dynamic type of this instance. For value instances `x`, this is
equal to `type_of x`, but for `x` with a `ref` type `x.dynamic_type` gives
the actual runtime type, while `type_of x` results in the static
compile-time type.

There is no dynamic type of a type instance since this would result in an
endless hierachy of types. So for Type values, dynamic_type is redefined
to just return Type.type.

does this numeric value fit into an u8? This is redefined by children
of numeric that support `as_u8`.

basic operations: 'infix %' (division remainder)

basic operations: 'infix **' (exponentiation)

is `this` contained in `Set` `s`?

This should usually be called using type inference as in

my_set := set_of ["A","B","C"]
say ("B" ∈ my_set)
say ("D" ∈ my_set)

is `this` not contained in `Set` `s`?

This should usually be called using type inference as in

my_set := set_of ["A","B","C"]
say ("B" ∉ my_set)
say ("D" ∉ my_set)

name of this type, including type parameters, e.g. 'option (list i32)'.

convenience prefix operator to create a string from a value.

This permits usage of `$` as a prefix operator in a similar way both
inside and outside of constant strings: $x and "$x" will produce the
same string.

basic operations

preconditions for basic operations: true if the operation's result is
representable and defined for the given values

default implementations all return `true` such that children have to
redefine these only for partial operations such as those resulting in
an overflow or that are undefined like a division by zero for most
types.

basic operations: 'prefix -' (negation)

overflow checking operations

saturating operations

sign function resulting in `-1`/`0`/`+1` depending on whether `numeric.this`
is less than, equal or larger than zero

absolute value using `|a|` built from a `prefix |` and `postfix |` as an operator
alias of `a.abs`

Due to the low precedence of `|`, this works also on expressions like `|a-b|`, even
with spaces `| a-b |`, `|a - b|`, `| a-b|` or `|a-b |`.

Nesting, however, does not work, e.g, `| - |a| |`, this requires parenthese `|(- |a|)|`.

NYI: CLEANUP: Due to #3081, we need `postfix |` as the first operation, should be
`prefix |` first

equality

the value corresponding to v in whatever integer implementation we have,
maximum in case of overflow

create hash code for this instance

This should satisfy the following condition:

(T.equality a b) : (T.hash_code a = T.hash_code b)

the imaginary unit

total order ignoring imag

NYI: Does this make sense mathematically?

identity element for 'infix *'

monoid of numeric with infix * operation. Will create product of all elements
it is applied to.

monoid of numeric with infix *^ operation. Will create product of all elements
it is applied to, stopping at max/min value in case of overflow.

monoid of numeric with infix + operation. Will create sum of all elements it
is applied to.

monoid of numeric with infix +^ operation. Will create sum of all elements it
is applied to, stopping at max/min value in case of overflow.

the constant '10' in whatever integer implementation we have, maximum in case of overflow

the constant '2' in whatever integer implementation we have, maximum in case of overflow

Get a type as a value.

This is a feature with the effect equivalent to Fuzion's `expr.type` call tail.
It is recommended to use `expr.type` and not `expr.type_value`.

`type_value` is here to show how this can be implemented and to illustrate the
difference to `dynamic_type`.

identity element for 'infix +'