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numeric
numeric
numeric -- parent of all numeric features
Value Constructors
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
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
Functions
absolute value
create a String from this instance. Unless redefined, `a.as_string` will
create `"instance[T]"` where `T` is the dynamic type of `a`
create `"instance[T]"` where `T` is the dynamic type of `a`
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.
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`.
of numeric that support `as_u8`.
basic operations: 'infix %' (division remainder)
basic operations: 'infix *' (multiplication)
basic operations: 'infix **' (exponentiation)
basic operations: 'infix +' (addition)
basic operations: 'infix -' (subtraction)
basic operations: 'infix /' (division)
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)
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)
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.
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: 'prefix +' (identity)
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.
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
is less than, equal or larger than zero
Value Types
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
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
Type Features
equality
the value corresponding to v in whatever integer implementation we have,
maximum in case of overflow
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)
This should satisfy the following condition:
(T.equality a b) : (T.hash_code a = T.hash_code b)
total order
monoid of numeric with infix * operation. Will create product of all elements
it is applied to.
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.
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.
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.
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`.
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`.