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i64

i64

i64 -- 64-bit signed integer values

Value Constructors

§
:
Any
 is
 
[Inherited from  numeric]
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 parentheses `|(- |a|)|`.

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

Functions

§
:
Any
 => 
numeric.this 
[Inherited from  numeric]
absolute value
§
:
Any
 => 
array u8 
[Inherited from  wrap_around]
this integer as an array of bytes (little endian)
conversion to float
this i64 as an i16
this i64 as an i32
this i64 as an i8
this i64 as an int
§
:
Any
 => 
String 
[Inherited from  integer]
convert this to a decimal number in a string. If negative, add "-" as
the first character.

redefines:

§(base u32)
:
encodings
 => 
String 
[Inherited from  integer]
convert this to a number using the given base. If negative, add "-" as
the first character.
§(len i32, base u32)
:
Any
 => 
String 
[Inherited from  integer]
convert this to a number using the given base. If negative, add "-" as
the first character. Extend with leading "0" until the length is at
least len
this i64 as an u128
this i64 as an u16
this i64 as an u32
this i64 as an u64
§
:
Any
 => 
u8 
[Redefinition of numeric.as_u8]
this i64 as an u8

redefines:

this i64 as an uint
§
:
Any
 => 
String 
[Inherited from  integer]
create binary representation
§(len i32)
:
Any
 => 
String 
[Inherited from  integer]
create binary representation with given number of digits.
§
:
Any
 => 
String 
[Inherited from  integer]
create decimal representation
§(len i32)
:
Any
 => 
String 
[Inherited from  integer]
create decimal representation with given number of digits.
§
:
Any
 => 
Type 
[Inherited from  Any]
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 hierarchy of types. So for Type values, dynamic_type is redefined
to just return Type.type.
§
:
Any
 => 
bool 
[Redefinition of numeric.fits_in_u8]
does this i64 fit into an u8?

redefines:

§(b integer.this)
:
Any
 => 
integer.this 
[Inherited from  integer]
greatest common divisor of this and b

note that this assumes zero to be divisible by any positive integer.
§
:
Any
 => 
String 
[Inherited from  integer]
create hexadecimal representation
§(len i32)
:
Any
 => 
String 
[Inherited from  integer]
create hexadecimal representation with given number of digits.
find the highest 1 bit in this integer and return integer with
this single bit set or 0 if this is 0.
§(other i64)
:
Any
 => 
i64 
[Redefinition of numeric.infix %]

redefines:

§(other integer.this)
:
Any
 => 
bool 
[Inherited from  integer]

redefines:

§(other integer.this)
:
Any
 => 
bool 
[Inherited from  integer]
test divisibility by other
§(other i64)
:
Any
 => 
i64 
[Redefinition of integer.infix &]
bitwise and, or and xor operations

redefines:

multiplication, with check for overflow

redefines:


redefines:

exponentiation for positive exponent

'zero ** zero' is permitted and results in 'one'.

redefines:


redefines:

exponentiation with overflow checking semantics

'zero **? zero' is permitted and results in 'one'.

redefines:

exponentiation with saturating semantics

'zero **^ zero' is permitted and results in 'one'.

redefines:

exponentiation with wrap-around semantics

'zero **° zero' is permitted and results in 'one'.

redefines:


redefines:

§(other i64)
:
Any
 => 
i64 
[Redefinition of num.wrap_around.infix *°]
addition, with check for overflow

redefines:


redefines:


redefines:


redefines:

§(other i64)
:
Any
 => 
i64 
[Redefinition of num.wrap_around.infix +°]
subtraction, with check for overflow

redefines:


redefines:


redefines:


redefines:

§(other i64)
:
Any
 => 
i64 
[Redefinition of num.wrap_around.infix -°]
defining an integer interval from this to other, both inclusive

special cases of interval a..b:

a < b: the interval from a to b, both inclusive
a == b: the interval containing only one element, a
a > b: an empty interval
§(other i64)
:
Any
 => 
i64 
[Redefinition of numeric.infix /]
division and remainder with check for div-by-zero

redefines:

§(other integer.this)
:
Any
 => 
bool 
[Inherited from  integer]
preconditions used in 'numeric' for basic operations: true if the
operation is permitted for the given values

redefines:

create a fraction
§(other i64)
:
Any
 => 
i64 
[Redefinition of integer.infix <<]

redefines:

§(other i64)
:
Any
 => 
i64 
[Redefinition of integer.infix >>]
shift operations (signed)

redefines:

§(other i64)
:
Any
 => 
i64 
[Redefinition of integer.infix ^]

redefines:

§(other i64)
:
Any
 => 
i64 
[Redefinition of integer.infix |]

redefines:

create a fraction via unicode fraction slash \u2044 '⁄ '
§
:
Any
 => 
bool 
[Inherited from  wrap_around]
check if this type of wrap_around is bounded

wrap_arounds are assumed to be a bound set by default, so
this returns true unless redefined by an implementation

redefines:

§
:
Any
 => 
bool 
[Inherited from  wrap_around]
§
:
Any
 => 
bool 
[Inherited from  wrap_around]
§
:
Any
 => 
bool 
[Inherited from  numeric]
§
:
Any
 => 
bool 
[Inherited from  numeric]
§
:
Any
 => 
u8 
[Redefinition of integer.low8bits]
casting bit representation to unsigned

redefines:

§
:
Any
 => 
String 
[Inherited from  integer]
create octal representation
§(len i32)
:
Any
 => 
String 
[Inherited from  integer]
create octal representation with given number of digits.
count the number of 1 bits in the binary representation of this
integer.
would addition + other cause an overflow or underflow?
would exponentiation 'this ** other' cause an overflow?
would multiplication * other cause an overflow or underflow?
would subtraction - other cause an overflow or underflow?
an infinite integer Sequence starting from this up to the maximum value
has_interval.this.max
an infinite integer Sequence starting from this up to the maximum value
has_interval.this.max

NYI: CLEANUP: Eventually remove `postfix ..` or `postfix ..∞` in favor of the
other one, for now this is here to show that `∞` is a legal symbol in an operator.
§
:
Any
 => 
String 
[Inherited from  Any]
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.
§
:
Any
 => 
numeric.this 
[Inherited from  numeric]
basic operations: 'prefix +' (identity)
§
:
Any
 => 
bool 
[Inherited from  numeric]
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.
negation, with check for overflow

redefines:

§
:
Any
 => 
bool 
[Inherited from  wrap_around]
preconditions used in 'numeric' for basic operations: true if the
operation is permitted for the given values

redefines:

overflow checking operations

redefines:

saturating operations

redefines:

neg, add, sub, mul with wrap-around semantics
bitwise NOT

redefines:

§
:
Any
 => 
integer.this 
[Inherited from  integer]
bitwise NOT (Unicode alias)
§
:
Any
 => 
i32 
[Inherited from  numeric]
sign function resulting in `-1`/`0`/`+1` depending on whether `numeric.this`
is less than, equal or larger than zero
count the number of trailing zeros in this integer.
would negation cause an overflow?

Value Types

§
:
Any
 is
 
[Inherited from  numeric]
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 parentheses `|(- |a|)|`.

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

Type Features

returns the number in whose bit representation all bits are ones
§
:
Any
 is
 
[Inherited from  Type]
string representation of this type to be used for debugging.

result has the form "Type of '<name>'", but this might change in the future

redefines:

§
:
Any
 is
 
[Inherited from  wrap_around]
how many bytes does this integer use?
§
:
Any
 is
 
[Inherited from  Type]
There is no dynamic type of a type instance since this would result in an
endless hierarchy of types, so dynamic_type is redefined to just return
Type.type here.

redefines:

§(a i64, b i64)
:
Any
 is
 
[Redefinition of numeric.type.equality]
equality
§(v u32)
:
Any
 is
 
[Inherited from  numeric]
the value corresponding to v in whatever integer implementation we have,
maximum in case of overflow
§(a i64.this.type)
:
Any
 is
 
create hash code from this number
§(T 
type
)
:
Any
 is
 
[Inherited from  Type]
Is this type assignable to a type parameter with constraint `T`?

The result of this is a compile-time constant that can be used to specialize
code for a particular type.

is_of_integer_type(n T : numeric) => T : integer
say (is_of_integer_type 1234) # true
say (is_of_integer_type 3.14) # false

it is most useful in conjunction preconditions or `if` statements as in

pair(a,b T) is

=>

or

val(n T) is

§(a i64, b i64)
:
Any
 is
 
[Redefinition of numeric.type.lteq]
total order
maximum
minimum
§
:
Any
 is
 
[Inherited from  Type]
name of this type, including type parameters, e.g. 'option (list i32)'.
§
:
Any
 is
 
[Redefinition of numeric.type.one]
identity element for 'infix *'

redefines:

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.
§
:
Any
 is
 
[Inherited from  numeric]
the constant '10' in whatever integer implementation we have, maximum in case of overflow
§
:
Any
 is
 
[Inherited from  numeric]
the constant '2' in whatever integer implementation we have, maximum in case of overflow
§
:
Any
 is
 
[Inherited from  Any]
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`.
§
:
Any
 is
 
[Redefinition of numeric.type.zero]
identity element for 'infix +'

redefines:

last changed: 2024-09-18