^- ("kethep"), ^+ ("ketlus"), and ^= ("kettis") let us adjust types without violating type constraints.
The nest algorithm which tests subtyping is conservative; it never allows invalid nests, it sometimes rejects valid nests.
^| "ketbar"
Convert a gold core to an iron core (contravariant).
Syntax
One argument, fixed.
| Form | Syntax | 
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| Irregular | None. | 
AST
[%ktbr p=hoon]
Produces
p as an iron core; crash if not a gold core.
Discussion
An iron core is an opaque function (gate or door).
Theorem: if type x nests within type a, and type y nests within type b, a core accepting b and producing x nests within a iron core accepting y and producing a.
Informally, a function fits an interface if the function has a more specific result and/or a less specific argument than the interface.
Examples
The prettyprinter shows the core metal (. gold, | iron):
~zod:dojo> |=(@ 1)<1.gcq [@ @n <250.yur 41.wda 374.hzt 100.kzl 1.ypj %151>]>~zod:dojo> ^|(|=(@ 1))<1|gcq [@ @n <250.yur 41.wda 374.hzt 100.kzl 1.ypj %151>]>
^: "ketcol"
Switch parser into structure mode (mold definition) and produce a gate for type p.  (See , com which toggles modes.)
Syntax
One argument, fixed.
| Form | Syntax | 
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AST
[%ktcl p=spec]
Produces
A gate that returns the sample value if it is of the correct type, but crashes otherwise.
Discussion
^: is used to produce a mold that crashes if its sample is of the wrong type.
In structure mode, [a=@ b=@] is a mold for a cell, whereas in value mode it's a pair of molds.  Sometimes you need a structure in value mode, in which you can use ^: or ,.
Molds used to produced their bunt value if they couldn't mold their sample. This is no longer the case: molds now crash if molding fails, so this rune is redundant in certain cases.
One may expect that ^:(path /foo) would result in a syntax error since ^: only takes one child, but instead it will parse as =< ^ %:(path /foo). Since : is the irregular syntax for =< this is is parsed as "get ^ (i.e. the mold for cells) from a subject of (path /foo)", with : being the irregular syntax for =<.
Examples
> ^: @< 1.goa{ *{our/@p now/@da eny/@uvJ}<19.hqf 23.byz 5.mzd 36.apb 119.zmz 238.ipu 51.mcd 93.glm 74.dbd 1.qct $141>}>> (^:(@) 22)22> (^:(@) [22 33])ford: %ride failed to execute:> (,cord 55)'7'> (ream ',@t')[%ktcl p=[%base p=[%atom p=~.t]]]> (ream ',cord')[%ktcl p=[%like p=~[%cord] q=~]]
^. "ketdot"
Typecast on value produced by passing q to p.
Syntax
Two arguments, fixed.
| Form | Syntax | 
|---|---|
| Tall | 
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| Irregular | None. | 
AST
[%ktdt p=hoon q=hoon]
Expands to
^+(%:(p q) q)
Discussion
p produces a gate and q is any Hoon expression.
^. is particularly useful when p is a gate that 'cleans up' the type information about some piece of data. For example, limo is used to turn a raw noun of the appropriate shape into a genuine list. Hence we can use ^. to cast with limo and similar gates, ensuring that the product has the desired type.
Examples
> =mylist [11 22 33 ~]> ?~(mylist ~ i.mylist)mint-vain> =mylist ^.(limo mylist)> ?~(mylist ~ i.mylist)11> ?~(mylist ~ t.mylist)~[22 33]
^- "kethep"
Typecast by explicit type label.
Syntax
Two arguments, fixed.
| Form | Syntax | 
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| Irregular | 
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AST
[%kthp p=spec q=hoon]
Expands to
^+(^*(p) q)
Discussion
It's a good practice to put a ^- ("kethep") at the top of every arm (including gates, loops, etc). This cast is strictly necessary only in the presence of head recursion (otherwise you'll get a rest-loop error, or if you really screw up spectacularly an infinite loop in the compiler).
Examples
~zod:dojo> (add 90 7)97~zod:dojo> `@t`(add 90 7)'a'~zod:dojo> ^-(@t (add 90 7))'a'/~zod:dojo> =foo |= a=@^- (unit @ta)`a/~zod:dojo> (foo 97)[~ ~.a]
^+ "ketlus"
Typecast by inferred type.
Syntax
Two arguments, fixed.
| Form | Syntax | 
|---|---|
| Tall | 
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| Irregular | None. | 
AST
[%ktls p=hoon q=hoon]
Produces
The value of q with the type of p, if the type of q nests within the type of p. Otherwise, nest-fail.
Examples
~zod:dojo> ^+('text' %a)'a'
^& "ketpam"
Convert a core to a zinc core (covariant).
Syntax
One argument, fixed.
| Form | Syntax | 
|---|---|
| Tall | 
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| Irregular | None. | 
AST
[%ktpm p=hoon]
Produces
p as a zinc core; crash if p isn't a gold or zinc core.
Discussion
A zinc core has a read-only sample and an opaque context. See Advanced types.
Examples
The prettyprinter shows the core metal in the arm labels 1.xoz and 1&xoz below (. is gold, & is zinc):
> |=(@ 1)< 1.xoz{ @{our/@p now/@da eny/@uvJ}<19.hqf 23.byz 5.mzd 36.apb 119.zmz 238.ipu 51.mcd 93.glm 74.dbd 1.qct $141>}>> ^&(|=(@ 1))< 1&xoz{ @{our/@p now/@da eny/@uvJ}<19.hqf 23.byz 5.mzd 36.apb 119.zmz 238.ipu 51.mcd 93.glm 74.dbd 1.qct $141>}>
You can read from the sample of a zinc core, but not change it:
> =mycore ^&(|=(a=@ 1))> a.mycore0> mycore(a 22)-tack.a-find.aford: %slim failed:ford: %ride failed to compute type:
^~ "ketsig"
Fold constant at compile time.
Syntax
One argument, fixed.
| Form | Syntax | 
|---|---|
| Tall | 
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| Irregular | None. | 
AST
[%ktsg p=hoon]
Produces
p, folded as a constant if possible.
Examples
> (make '|-(42)')[%8 p=[%1 p=[1 42]] q=[%9 p=2 q=[%0 p=1]]]> (make '^~(|-(42))')[%1 p=42]
^* "kettar"
Produce example type value.
Syntax
One argument, fixed.
| Form | Syntax | 
|---|---|
| Tall | 
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| Irregular | 
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p is any structure expression.
AST
[%kttr p=spec]
Produces
A default value (i.e., 'bunt value') of the type p.
Examples
Regular:
> ^* @0> ^* %baz%baz> ^* ^[0 0]> ^* ?%.y
Irregular:
> *@0> *^[0 0]> *tape""
^= "kettis"
Bind name to a value.
Syntax
Two arguments, fixed.
| Form | Syntax | 
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| Irregular | 
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AST
[%ktts p=skin q=hoon]
Produces
If p is a term, the product q with type [%face p q]. p may also be a tuple of terms, or a term-skin pair; the type of q must divide evenly into cells to match it.
Examples
> a=1a=1> ^= a1a=1> ^=(a 1)a=1> [b c d]=[1 2 3 4][b=1 c=2 d=[3 4]]> [b c d=[x y]]=[1 2 3 4][b=1 c=2 d=[x=3 y=4]]
^? "ketwut"
Convert any core to a lead core (bivariant).
Syntax
One argument, fixed.
| Form | Syntax | 
|---|---|
| Tall | 
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| Wide | 
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| Irregular | None. | 
AST
[%ktwt p=hoon]
Produces
p as a lead core; crash if not a core.
Discussion
A lead core is an opaque generator; the payload can't be read or written.
Theorem: if type x nests within type a, a lead core producing x nests within a lead core producing a.
Informally, a more specific generator can be used as a less specific generator.
Examples
The prettyprinter shows the core metal (. gold, ? lead):
> |=(@ 1)<1.gcq [@ @n <250.yur 41.wda 374.hzt 100.kzl 1.ypj %151>]>> ^?(|=(@ 1))<1?gcq [@ @n <250.yur 41.wda 374.hzt 100.kzl 1.ypj %151>]>