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rewrote links
commitfdbef63318aa808a91716914f9f2bf97110a1740 authorDavid Kerschner <dkerschner@hcoop.net> dateThu 10 Oct 2019, 18:25 (7 years ago) parent94ed8b4
28 files changed+1579−1579
reference/arvo-glossary.md+2−2 reference/hoon-errors.md+6−6 reference/hoon-expressions/irregular.md+1−1 reference/hoon-expressions/rune/bar.md+8−8 reference/hoon-expressions/rune/buc.md+1−1 reference/hoon-expressions/rune/cen.md+4−4 reference/hoon-expressions/rune/ket.md+1−1 reference/hoon-expressions/rune/tis.md+1−1 reference/hoon-expressions/rune/wut.md+1−1 reference/library/1c.md+1−1 reference/library/2c.md+14−14 reference/library/2d.md+2−2 reference/library/2e.md+2−2 reference/library/2f.md+4−4 reference/library/2h.md+2−2 reference/library/2i.md+1−1 reference/library/2o.md+5−5 reference/library/2q.md+2−2 reference/library/3d.md+2−2 reference/library/3f.md+3−3 reference/library/3g.md+4−4 reference/library/4h.md+1−1 reference/library/table-of-contents.md+1487−1487 tutorials/arvo/gall.md+1−1 tutorials/arvo/glossary.md+19−19 tutorials/hoon/bank-account.md+1−1 tutorials/hoon/conditionals.md+1−1 tutorials/hoon/hoon-syntax.md+2−2
reference/arvo-glossary.md+2−2
@@ -43,7 +43,7 @@ dry.
4343 path, which works as if we expanded the callee with the caller's
4444 context.
4545
46−_See [advanced types](/docs/hoon/hoon-expressions/advanced/)_.
46+_See [advanced types](/docs/reference/hoon-expressions/advanced/)_.
4747
4848
4949
@@ -718,7 +718,7 @@ Here's some common structure terminology:
718718
719719#### icon: The type of the mold's range
720720
721−_See [mold hoons](/docs/hoon/hoon-expressions/rune/buc/)._
721+_See [mold hoons](/docs/reference/hoon-expressions/rune/buc/)._
722722
723723### rune
724724
reference/hoon-errors.md+6−6
@@ -20,7 +20,7 @@ a correct Hoon file. These values are always correct.
2020Usually, the line and column tell you everything you need to
2121know. But the worst-case scenario for a syntax error is that,
2222somewhere above, you've confused Hoon's tall form by using the
23−wrong fanout for a rune. For example, `%+` ([**cenlus**](@/docs/hoon/hoon-expressions/rune/cen.md#cenlus),
23+wrong fanout for a rune. For example, `%+` ([**cenlus**](@/docs/reference/hoon-expressions/rune/cen.md#cenlus),
2424a function call whose sample is a cell) has three subhoons:
2525
2626```hoon
@@ -100,7 +100,7 @@ means you tried to pound a square peg into a round hole.
100100What was the peg and what was the hole? Hoon doesn't tell you by
101101default, because moral fiber, and also because in too many cases
102102trivial errors lead to large intimidating dumps. However, you
103−can use the `~!` rune ([**sigzap**](@/docs/hoon/hoon-expressions/rune/sig.md#sigzap)) to print the type of
103+can use the `~!` rune ([**sigzap**](@/docs/reference/hoon-expressions/rune/sig.md#sigzap)) to print the type of
104104any hoon in your stack trace.
105105
106106For instance, you wrote `(foo bar)` and got a `nest-fail`. Change
@@ -130,7 +130,7 @@ function.
130130
131131These are errors caused by type inference in pattern matching.
132132`mint-vain` means this hoon is never executed. `mint-lost` means
133−there's a case in a `?-` ([**wuthep**](@/docs/hoon/hoon-expressions/rune/wut.md#wuthep)) that isn't handled.
133+there's a case in a `?-` ([**wuthep**](@/docs/reference/hoon-expressions/rune/wut.md#wuthep)) that isn't handled.
134134
135135## Runtime crashes
136136
@@ -144,7 +144,7 @@ infinite loop will time out either too slowly or too fast). The
144144stack trace will show what your code was doing when interrupted.
145145
146146The counterpart of `~!` for runtime crashes is `~|`
147−([**sigbar**](@/docs/hoon/hoon-expressions/rune/sig.md#sigbar)):
147+([**sigbar**](@/docs/reference/hoon-expressions/rune/sig.md#sigbar)):
148148
149149```hoon
150150~| foo
@@ -160,7 +160,7 @@ The worst possibility, of course, is that your code runs but does
160160the wrong thing. This is relatively unusual in a typed
161161functional language, but it still happens.
162162
163−`~&` ([**sigpam**](@/docs/hoon/hoon-expressions/rune/sig.md#sigpam)) is Hoon's debugging printf.
163+`~&` ([**sigpam**](@/docs/reference/hoon-expressions/rune/sig.md#sigpam)) is Hoon's debugging printf.
164164This pretty-prints its argument:
165165
166166```hoon
@@ -169,7 +169,7 @@ This pretty-prints its argument:
169169```
170170
171171will always print `foo` every time it executes. A variant is
172−`~?` ([**sigwut**](@/docs/hoon/hoon-expressions/rune/sig.md#sigwut)), which prints only if a condition is
172+`~?` ([**sigwut**](@/docs/reference/hoon-expressions/rune/sig.md#sigwut)), which prints only if a condition is
173173true:
174174
175175```hoon
reference/hoon-expressions/irregular.md+1−1
@@ -241,7 +241,7 @@ See [%sand](@/docs/reference/hoon-expressions/rune/constants.md#warm) for other
241241
242242### Wings
243243
244−[docs](content/docs/hoon/hoon-expressions/limb/wing.md)
244+[docs](content/docs/reference/hoon-expressions/limb/wing.md)
245245`[%wing p=(list limb)]`; a limb search path.
246246`a.b` finds limb `a` within limb `b` ("var" `a` within "var" `b`).
247247
reference/hoon-expressions/rune/bar.md+8−8
@@ -68,7 +68,7 @@ Calling a door is like calling a gate except the caller also needs
6868to specify the arm to be computed. So, for example, if you have some door `door` which contains some arm `arm`, and you want to pass some argument (i.e., input value `arg`), you would call it with `~(arm door arg)`.
6969
7070Because gates are also doors, you can call them the same way. To call the gate `foo` as a door, instead of `(foo baz)` we would write `~($ foo baz)`. This
71−is an irregular form for `%~($ foo baz)`, [%~](/docs/hoon/hoon-expressions/rune/cen#sig).
71+is an irregular form for `%~($ foo baz)`, [%~](/docs/reference/hoon-expressions/rune/cen#sig).
7272
7373##### Examples
7474
@@ -278,7 +278,7 @@ A more interesting trap:
278278Note that we can use `$()` to recurse back into the
279279trap, since it's a core with an `$` arm.
280280
281−> `$(...)` expands to `%=($ ...)` (["centis"](/docs/hoon/hoon-expressions/rune/cen#centis)).
281+> `$(...)` expands to `%=($ ...)` (["centis"](/docs/reference/hoon-expressions/rune/cen#centis)).
282282
283283### |- "barhep"
284284
@@ -312,7 +312,7 @@ A `|-` expression produces a core with one arm named `$` and immediately evaluat
312312
313313The `|-` rune can be thought of as a 'recursion point' or a 'loop starting point'. Since `|-` makes a `|.` (["bardot"](#bardot), a core with one arm named `$`, we can recurse back into it with `$()`.
314314
315−> `$(...)` expands to `%=($ ...)` (["centis"](/docs/hoon/hoon-expressions/rune/cen#centis)).
315+> `$(...)` expands to `%=($ ...)` (["centis"](/docs/reference/hoon-expressions/rune/cen#centis)).
316316
317317##### Examples
318318
@@ -425,7 +425,7 @@ A `|~` expression produces an iron gate. `a` defines the sample, and `b` define
425425
426426##### Discussion
427427
428−See [this discussion of core variance models](@/docs/hoon/hoon-expressions/advanced.md)
428+See [this discussion of core variance models](@/docs/reference/hoon-expressions/advanced.md)
429429
430430##### Examples
431431
@@ -479,7 +479,7 @@ you know what you're doing.
479479Just as with a [gate](#bartis), we can recurse back into a wet gate
480480with `$()`.
481481
482−> `$(...)` expands to `%=($ ...)` (["centis"](@/docs/hoon/hoon-expressions/rune/cen.md#centis)).
482+> `$(...)` expands to `%=($ ...)` (["centis"](@/docs/reference/hoon-expressions/rune/cen.md#centis)).
483483
484484##### Examples
485485
@@ -538,7 +538,7 @@ Dry gates are used for the vast majority of ordinary functions in Hoon.
538538
539539A gate is a core with one arm named `$`, so we can recurse back into it with `$()`.
540540
541−> `$(...)` expands to `%=($ ...)` (["centis"](@/docs/hoon/hoon-expressions/rune/cen.md#centis)).
541+> `$(...)` expands to `%=($ ...)` (["centis"](@/docs/reference/hoon-expressions/rune/cen.md#centis)).
542542
543543##### Examples
544544
@@ -591,7 +591,7 @@ A `|@` expression produces a 'wet' core whose payload is the expression's subjec
591591
592592##### Discussion
593593
594−The `|@` rune is just like the `|%` rune except that instead of producing a 'dry' core, it produces a 'wet' one. This allows for type polymorphism of its arms, using 'genericity'. See [Advanced types](@/docs/hoon/hoon-expressions/advanced.md).
594+The `|@` rune is just like the `|%` rune except that instead of producing a 'dry' core, it produces a 'wet' one. This allows for type polymorphism of its arms, using 'genericity'. See [Advanced types](@/docs/reference/hoon-expressions/advanced.md).
595595
596596### |? "barwut"
597597
@@ -623,7 +623,7 @@ A `|?` expression produces a lead trap (i.e., a lead core with one arm named `$`
623623
624624##### Discussion
625625
626−See this [discussion of the core variance model](@/docs/hoon/hoon-expressions/advanced.md).
626+See this [discussion of the core variance model](@/docs/reference/hoon-expressions/advanced.md).
627627
628628##### Examples
629629
reference/hoon-expressions/rune/buc.md+1−1
@@ -239,7 +239,7 @@ $~ p=hoon q=spec
239239
240240##### Discussion
241241
242−You should make sure that the product type of `p` nests under `q`. You can check the default value of some structure (custom type) `r` with `*r`. (See the [`^*` rune](@/docs/hoon/hoon-expressions/rune/ket.md#kettar).)
242+You should make sure that the product type of `p` nests under `q`. You can check the default value of some structure (custom type) `r` with `*r`. (See the [`^*` rune](@/docs/reference/hoon-expressions/rune/ket.md#kettar).)
243243
244244Do not confuse the `$~` rune with the constant type for null, `$~`. (The latter uses older Hoon syntax that is still accepted. Preferably it would be `%~`.)
245245
reference/hoon-expressions/rune/cen.md+4−4
@@ -53,7 +53,7 @@ A `%_` expression resolves to the value of the subject at wing `a`, but modified
5353
5454`%_` is different from `%=` because `%=` can change the type of a wing with mutations. `%_` preserves the wing type.
5555
56−See [how wings are resolved](@/docs/hoon/hoon-expressions/limb/_index.md).
56+See [how wings are resolved](@/docs/reference/hoon-expressions/limb/_index.md).
5757
5858##### Examples
5959
@@ -204,8 +204,8 @@ This rune is for evaluating the `$` arm of a gate, i.e., calling a gate as a fun
204204
205205##### Discussion
206206
207−`%-` is used to call a function; `a` is the function ([`gate`](@/docs/hoon/hoon-expressions/rune/bar.md#bartis),
208−`q` the argument. `%-` is a special case of [`%~` ("censig")](#censig), and a gate is a special case of a [door](@/docs/hoon/hoon-expressions/rune/bar.md#barcab).
207+`%-` is used to call a function; `a` is the function ([`gate`](@/docs/reference/hoon-expressions/rune/bar.md#bartis),
208+`q` the argument. `%-` is a special case of [`%~` ("censig")](#censig), and a gate is a special case of a [door](@/docs/reference/hoon-expressions/rune/bar.md#barcab).
209209
210210##### Examples
211211
@@ -324,7 +324,7 @@ A `%~` expression evaluates the arm of a door (i.e., a core with a sample). `a`
324324
325325`%~` is the general case of a function call, `%-`. In both, we replace the sample (`+6`) of a core. In `%-` the core is a gate and the `$` arm is evaluated. In `%~` the core is a door and any arm may be evaluated. You must identify the arm to be run: `%~(arm door arg)`.
326326
327−See also [`|_`](@/docs/hoon/hoon-expressions/rune/bar.md#barcab).
327+See also [`|_`](@/docs/reference/hoon-expressions/rune/bar.md#barcab).
328328
329329##### Examples
330330
reference/hoon-expressions/rune/ket.md+1−1
@@ -203,7 +203,7 @@ Regular: **1-fixed**.
203203
204204##### Discussion
205205
206−A zinc core has a read-only sample and an opaque context. See [Advanced types](@/docs/hoon/hoon-expressions/advanced.md).
206+A zinc core has a read-only sample and an opaque context. See [Advanced types](@/docs/reference/hoon-expressions/advanced.md).
207207
208208##### Examples
209209
reference/hoon-expressions/rune/tis.md+1−1
@@ -159,7 +159,7 @@ Regular: **3-fixed**.
159159##### Discussion
160160
161161Technically the `=.` rune doesn't change the subject. It creates
162−a new subject just like the old one except for a changed value at `p`. Note that the mutation uses [`%_` ("cencab")](@/docs/hoon/hoon-expressions/rune/cen.md#cencab), so the type at `p` doesn't change. Trying to change the value type results in a `nest-fail`.
162+a new subject just like the old one except for a changed value at `p`. Note that the mutation uses [`%_` ("cencab")](@/docs/reference/hoon-expressions/rune/cen.md#cencab), so the type at `p` doesn't change. Trying to change the value type results in a `nest-fail`.
163163
164164##### Examples
165165
reference/hoon-expressions/rune/wut.md+1−1
@@ -22,7 +22,7 @@ for expressions which expand to `?:`.
2222The test does not have to be a single `?=`; the compiler can
2323analyze arbitrary boolean logic ([`?&` ("wutpam")](#wutpam),
2424[`?|` ("wutbar")](#wutbar), [`?!` ("wutzap")](#wutzap)) with full
25−short-circuiting. Equality tests ([`.=` ("dottis")](@/docs/hoon/hoon-expressions/rune/dot.md#dottis)) are **not**
25+short-circuiting. Equality tests ([`.=` ("dottis")](@/docs/reference/hoon-expressions/rune/dot.md#dottis)) are **not**
2626analyzed.
2727
2828If the compiler detects that the branch is degenerate (only one
reference/library/1c.md+1−1
@@ -63,7 +63,7 @@ A `bloq` of 3 has a bitwidth of 8. (2^3 bits; can represent 256 values.)
6363
6464And so on.
6565
66−See the [bit arithmetic](@/docs/hoon/library/2c.md) section for operations that use `bloq`s.
66+See the [bit arithmetic](@/docs/reference/library/2c.md) section for operations that use `bloq`s.
6767
6868---
6969
reference/library/2c.md+14−14
@@ -53,7 +53,7 @@ value.
5353
5454#### Accepts
5555
56−`a` is a block size (see [`++bloq`](@/docs/hoon/library/1c.md)).
56+`a` is a block size (see [`++bloq`](@/docs/reference/library/1c.md)).
5757
5858`b` is a `list` of length-value pairs, `p` and `q`.
5959
@@ -110,7 +110,7 @@ atom.
110110
111111#### Accepts
112112
113−`a` is a block size (see [`++bloq`](@/docs/hoon/library/1c.md)).
113+`a` is a block size (see [`++bloq`](@/docs/reference/library/1c.md)).
114114
115115`b` is an atom.
116116
@@ -173,7 +173,7 @@ Slices `c` blocks of size `a` that are positioned `b` blocks from the end of
173173
174174#### Accepts
175175
176−`a` is a block size (see [`++bloq`](@/docs/hoon/library/1c.md)).
176+`a` is a block size (see [`++bloq`](@/docs/reference/library/1c.md)).
177177
178178`b` is an atom.
179179
@@ -232,7 +232,7 @@ Produces an atom by taking the last `b` blocks of size `a` from `c`.
232232
233233#### Accepts
234234
235−`a` is a block size (see [`++bloq`](@/docs/hoon/library/1c.md)).
235+`a` is a block size (see [`++bloq`](@/docs/reference/library/1c.md)).
236236
237237`b` is an atom.
238238
@@ -299,7 +299,7 @@ Produces an atom by repeating `c` for `b` blocks of size `a`.
299299
300300#### Accepts
301301
302−`a` is a block size (see [`++bloq`](@/docs/hoon/library/1c.md)).
302+`a` is a block size (see [`++bloq`](@/docs/reference/library/1c.md)).
303303
304304`b` is an atom.
305305
@@ -351,7 +351,7 @@ Produces an atom by left-shifting `c` by `b` blocks of size `a`.
351351
352352#### Accepts
353353
354−`a` is a block size (see [`++bloq`](@/docs/hoon/library/1c.md)).
354+`a` is a block size (see [`++bloq`](@/docs/reference/library/1c.md)).
355355
356356`b` is an atom.
357357
@@ -402,7 +402,7 @@ Computes the number of blocks of size `a` in `b`, producing an atom.
402402
403403#### Accepts
404404
405−`a` is a block size (see [`++bloq`](@/docs/hoon/library/1c.md)).
405+`a` is a block size (see [`++bloq`](@/docs/reference/library/1c.md)).
406406
407407`b` is an atom.
408408
@@ -448,7 +448,7 @@ Concatenates a list of atoms `b` using block size `a`, producing an atom.
448448
449449#### Accepts
450450
451−`a` is a block size (see [`++bloq`](@/docs/hoon/library/1c.md)).
451+`a` is a block size (see [`++bloq`](@/docs/reference/library/1c.md)).
452452
453453`b` is a `list` of atoms.
454454
@@ -509,7 +509,7 @@ Produces an atom by assembling a list of atoms `b` using block size `a`.
509509
510510#### Accepts
511511
512−`a` is a block size (see [`++bloq`](@/docs/hoon/library/1c.md)).
512+`a` is a block size (see [`++bloq`](@/docs/reference/library/1c.md)).
513513
514514`b` is a list of atoms.
515515
@@ -574,7 +574,7 @@ Produces a list of atoms from the bits of `b` using block size `a`.
574574
575575#### Accepts
576576
577−`a` is a block size (see [`++bloq`](@/docs/hoon/library/1c.md)).
577+`a` is a block size (see [`++bloq`](@/docs/reference/library/1c.md)).
578578
579579`b` is an atom.
580580
@@ -634,7 +634,7 @@ Right-shifts `c` by `b` blocks of size `a`, producing an atom.
634634
635635#### Accepts
636636
637−`a` is a block size (see [`++bloq`](@/docs/hoon/library/1c.md)).
637+`a` is a block size (see [`++bloq`](@/docs/reference/library/1c.md)).
638638
639639`b` is an atom.
640640
@@ -702,7 +702,7 @@ reversing the block order of `b` using block size `a`.
702702
703703#### Accepts
704704
705−`a` is a block size (see [`++bloq`](@/docs/hoon/library/1c.md)).
705+`a` is a block size (see [`++bloq`](@/docs/reference/library/1c.md)).
706706
707707`b` is an atom.
708708
@@ -862,7 +862,7 @@ Inverts the order of the modular field.
862862
863863#### Accepts
864864
865−`b` is a `bloq`. (see [`++bloq`](@/docs/hoon/library/1c.md))
865+`b` is a `bloq`. (see [`++bloq`](@/docs/reference/library/1c.md))
866866
867867#### Produces
868868
@@ -905,7 +905,7 @@ Reverses bytes within a block.
905905
906906#### Accepts
907907
908−`b` is a `bloq`. (see [`++bloq`](@/docs/hoon/library/1c.md))
908+`b` is a `bloq`. (see [`++bloq`](@/docs/reference/library/1c.md))
909909
910910#### Produces
911911
reference/library/2d.md+2−2
@@ -281,7 +281,7 @@ of `c`.
281281
282282#### Accepts
283283
284−`a` is a block size (see [`bloq`](@/docs/hoon/library/1c.md)).
284+`a` is a block size (see [`bloq`](@/docs/reference/library/1c.md)).
285285
286286`b` is an atom.
287287
@@ -327,7 +327,7 @@ number's `0`s into `1`s, and vice versa.
327327
328328In Hoon, we ask for a little more information to use `not`, because binary
329329numbers have a number of implicit leading zeroes differently depending on on
330−their [block size](@/docs/hoon/library/1c.md). Decimal `7`, for example, is `0b111` in binary, and
330+their [block size](@/docs/reference/library/1c.md). Decimal `7`, for example, is `0b111` in binary, and
331331has one implicit zero in the context of a block of size `2`, which has a
332332bitwidth of 4. Let's try `not` on `7` with a single block of size `2`.
333333
reference/library/2e.md+2−2
@@ -9,7 +9,7 @@ aliases = ["/docs/reference/library/2e"]
99FNV scrambler
1010
1111Hashes an atom with the 32-bit FNV non-cryptographic hash algorithm. Multiplies
12−`a` by the prime number 16,777,619 and then takes the [block](@/docs/hoon/library/2c.md) of size
12+`a` by the prime number 16,777,619 and then takes the [block](@/docs/reference/library/2c.md) of size
13135 off the product's end, producing an atom.
1414
1515#### Accepts
@@ -109,7 +109,7 @@ Standard MurmurHash3
109109Implementation of the 32-bit
110110[MurmurHash3](https://en.wikipedia.org/wiki/MurmurHash#Algorithm)
111111non-cryptographic hash algorithm. Takes `a` as the seed, `b` as the key length
112−in [blocks](@/docs/hoon/library/2c.md) of size 3, and `c` as the key, producing an atom.
112+in [blocks](@/docs/reference/library/2c.md) of size 3, and `c` as the key, producing an atom.
113113
114114#### Accepts
115115
reference/library/2f.md+4−4
@@ -131,7 +131,7 @@ A flag.
131131
132132#### Discussion
133133
134−If `a` and `b` are both atoms, `dor` is equivalent to [`lte`](@/docs/hoon/library/1a.md). If they're
134+If `a` and `b` are both atoms, `dor` is equivalent to [`lte`](@/docs/reference/library/1a.md). If they're
135135cells, `dor` recurses on the heads, and then if the heads are the same it checks
136136the tails.
137137
@@ -148,7 +148,7 @@ Computes whether of `(mug a)` and `(mug b)` are in ascending numeric order,
148148producing a flag. If the `mug` hashes are equal, `a` and `b` are compared by
149149`dor` instead.
150150
151−[`mug`](@/docs/hoon/library/2e.md) is the the 31-bit nonzero FNV-1a hash algorithm.
151+[`mug`](@/docs/reference/library/2e.md) is the the 31-bit nonzero FNV-1a hash algorithm.
152152
153153#### Accepts
154154
@@ -297,7 +297,7 @@ A flag.
297297#### Discussion
298298
299299Sets (+set, +in) use `hor` for their horizontal order and `vor` for their
300−vertical order. See [`apt:in`](@/docs/hoon/library/2h.md) to see how a set verifies its correctness.
300+vertical order. See [`apt:in`](@/docs/reference/library/2h.md) to see how a set verifies its correctness.
301301`vor` is used to verify.
302302
303303---
@@ -378,7 +378,7 @@ Computes whether the double-hashes `(mug (mug a))` and `(mug (mug b))` are in
378378ascending numeric order, producing a flag. If the double-`mug` hashes are
379379equal, `a` and `b` are compared by `dor` instead.
380380
381−[`mug`](@/docs/hoon/library/2e.md) is the the 31-bit nonzero FNV-1a hash algorithm.
381+[`mug`](@/docs/reference/library/2e.md) is the the 31-bit nonzero FNV-1a hash algorithm.
382382
383383
384384#### Accepts
reference/library/2h.md+2−2
@@ -164,7 +164,7 @@ A flag.
164164
165165#### Discussion
166166
167−See section [`2f`](@/docs/hoon/library/2f.md) for more information on noun ordering.
167+See section [`2f`](@/docs/reference/library/2f.md) for more information on noun ordering.
168168
169169---
170170### `+-bif:in`
@@ -383,7 +383,7 @@ The `unit` of an atom.
383383
384384#### Discussion
385385
386−For more on the tree addressing system, see section [1b](@/docs/hoon/library/1b.md).
386+For more on the tree addressing system, see section [1b](@/docs/reference/library/1b.md).
387387
388388---
389389### `+-gas:in`
reference/library/2i.md+1−1
@@ -176,7 +176,7 @@ A flag.
176176
177177#### Discussion
178178
179−See section [`2f`](@/docs/hoon/library/2f.md) for more information on noun ordering.
179+See section [`2f`](@/docs/reference/library/2f.md) for more information on noun ordering.
180180
181181### `+-bif:by`
182182
reference/library/2o.md+5−5
@@ -38,7 +38,7 @@ Mold generator. A `jar` is a `map` of `list`.
3838
3939#### Discussion
4040
41−See also: [`ja`](@/docs/hoon/library/2j.md), [`by`](@/docs/hoon/library/2i.md), [`map`](@/docs/hoon/library/2i.md), [`list`](@/docs/hoon/library/2b.md)
41+See also: [`ja`](@/docs/reference/library/2j.md), [`by`](@/docs/reference/library/2i.md), [`map`](@/docs/reference/library/2i.md), [`list`](@/docs/reference/library/2b.md)
4242
4343---
4444### `++jug`
@@ -78,7 +78,7 @@ Mold generator. A `jug` is a `map` of `set`.
7878
7979#### Discussion
8080
81−See also: [`ja`](@/docs/hoon/library/2j.md), [`by`](@/docs/hoon/library/2i.md), [`set`](@/docs/hoon/library/2h.md)
81+See also: [`ja`](@/docs/reference/library/2j.md), [`by`](@/docs/reference/library/2i.md), [`set`](@/docs/reference/library/2h.md)
8282
8383---
8484### `++map`
@@ -111,7 +111,7 @@ key-value pairs.
111111
112112#### Discussion
113113
114−See also: [`by`](@/docs/hoon/library/2i.md)
114+See also: [`by`](@/docs/reference/library/2i.md)
115115
116116---
117117### `++qeu`
@@ -148,7 +148,7 @@ items.
148148
149149#### Discussion
150150
151−See also: [`qeu`](@/docs/hoon/library/2k.md)
151+See also: [`qeu`](@/docs/reference/library/2k.md)
152152
153153---
154154### `++set`
@@ -182,6 +182,6 @@ items.
182182
183183#### Discussion
184184
185−See also: [`in`](@/docs/hoon/library/2h.md)
185+See also: [`in`](@/docs/reference/library/2h.md)
186186
187187---
reference/library/2q.md+2−2
@@ -66,7 +66,7 @@ atom of UTF-8 text.
6666Aura `@t` designates a Unicode atom, little-endian: the first character
6767in the text is the least-significant byte.
6868
69−[`trip`](@/docs/hoon/library/4b.md) converts from `cord` to `tape`, and [`crip`](@/docs/hoon/library/4b.md) converts
69+[`trip`](@/docs/reference/library/4b.md) converts from `cord` to `tape`, and [`crip`](@/docs/reference/library/4b.md) converts
7070from `tape` to `cord`.
7171
7272
@@ -101,7 +101,7 @@ which is a day atom and a time.
101101
102102#### Discussion
103103
104−See also: [`year`](@/docs/hoon/library/3c.md), [`yore`](@/docs/hoon/library/3c.md)
104+See also: [`year`](@/docs/reference/library/3c.md), [`yore`](@/docs/reference/library/3c.md)
105105
106106---
107107### `++knot`
reference/library/3d.md+2−2
@@ -38,7 +38,7 @@ An atom.
3838
3939Half SHA-256
4040
41−Produces a 128-bit atom by performing the [bitwise XOR](@/docs/hoon/library/2d.md) on the
41+Produces a 128-bit atom by performing the [bitwise XOR](@/docs/reference/library/2d.md) on the
4242first and last halves of the 256-bit salted hash `shas`.
4343
4444#### Accepts
@@ -363,7 +363,7 @@ SHA-1 is a deprecated function; it is not considered secure.
363363
364364Salted hash
365365
366−Produces an atom by using SHA-256 plus a salt input. The [bitwise XOR](@/docs/hoon/library/2d.md)
366+Produces an atom by using SHA-256 plus a salt input. The [bitwise XOR](@/docs/reference/library/2d.md)
367367is performed on `sal` and the product of `ruz` hashed with SHA-256. The product
368368of that logical operation is then itself hashed with SHA-256.
369369
reference/library/3f.md+3−3
@@ -610,7 +610,7 @@ An atom.
610610
611611Reverse Feistel-like cipher
612612
613−A single round of the Feistel-like cipher `fice`. AES ([`aesc`](@/docs/hoon/library/3f.md)) is
613+A single round of the Feistel-like cipher `fice`. AES ([`aesc`](@/docs/reference/library/3f.md)) is
614614used as the round function. The inverse of `rund`.
615615
616616#### Accepts
@@ -652,7 +652,7 @@ A cell of two atoms.
652652
653653Reverse single Feistel-like
654654
655−A single round of the Feistel-like reverse cipher `teil`. AES ([`aesc`](@/docs/hoon/library/3f.md))
655+A single round of the Feistel-like reverse cipher `teil`. AES ([`aesc`](@/docs/reference/library/3f.md))
656656is used as the round function. The inverse of `rynd`.
657657
658658#### Accepts
@@ -694,7 +694,7 @@ A cell of two atoms.
694694
695695Key list
696696
697−Produces a list of arbitrary hexademical keys for use with [`aesc`](@/docs/hoon/library/3f.md).
697+Produces a list of arbitrary hexademical keys for use with [`aesc`](@/docs/reference/library/3f.md).
698698
699699#### Produces
700700
reference/library/3g.md+4−4
@@ -52,9 +52,9 @@ and printed using `++so` and `++co` cores.
5252
5353Aura-atom pair
5454
55−Used in `++coin`. Convenience methods [`++scot`](@/docs/hoon/library/4m.md) and
56−[`++scow`](@/docs/hoon/library/4m.md) print dimes as `++cord` and `++tape`, respectively.
57−[`++slat`](@/docs/hoon/library/4m.md), [`++slav`](@/docs/hoon/library/4m.md), and [`++slaw`](@/docs/hoon/library/4m.md) are used
55+Used in `++coin`. Convenience methods [`++scot`](@/docs/reference/library/4m.md) and
56+[`++scow`](@/docs/reference/library/4m.md) print dimes as `++cord` and `++tape`, respectively.
57+[`++slat`](@/docs/reference/library/4m.md), [`++slav`](@/docs/reference/library/4m.md), and [`++slaw`](@/docs/reference/library/4m.md) are used
5858to parse atoms of specific auras.
5959
6060#### Source
@@ -95,7 +95,7 @@ Optional result `p` and parsing continuation `q`.
9595
9696#### Discussion
9797
98−See also: [Section 2e](@/docs/hoon/library/2e.md), `++rule`
98+See also: [Section 2e](@/docs/reference/library/2e.md), `++rule`
9999
100100
101101---
reference/library/4h.md+1−1
@@ -70,7 +70,7 @@ Parses ASCII character 124, the vertical bar.
7070Parse backslash
7171
7272Parses ASCII character 92, the backslash. Note the extra `\` in the calling of
73−`bas` with [`++just`](@/docs/hoon/library/4f.md) is to escape the escape
73+`bas` with [`++just`](@/docs/reference/library/4f.md) is to escape the escape
7474character, `\`.
7575
7676#### Source
reference/library/table-of-contents.md+1487−1487
@@ -11,1720 +11,1720 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
1111
1212### a
1313
14−<a class="tooltip" href='/docs/hoon/library/4j/#ab' title="Primitive parser engine"><code>++ab</code></a>
15−<a class="tooltip" href='/docs/hoon/library/3b/#abs-fl' title="Absolute value"><code>++abs:fl</code></a>
16−<a class="tooltip" href='/docs/hoon/library/3a/#abs-si' title="Absolute value (signed integer)"><code>++abs:si</code></a>
17−<a class="tooltip" href='/docs/hoon/library/4o/#abel' title="Compiler alias"><code>++abel</code></a>
18−<a class="tooltip" href='/docs/hoon/library/4h/#ace' title="Parse space"><code>++ace</code></a>
19−<a class="tooltip" href='/docs/hoon/library/1a/#add' title="Add"><code>++add</code></a>
20−<a class="tooltip" href='/docs/hoon/library/3b/#add-ff' title="Add (floating point)"><code>++add:ff</code></a>
21−<a class="tooltip" href='/docs/hoon/library/3b/#add-fl' title="Add (with exact/rounded flag)"><code>++add:fl</code></a>
22−<a class="tooltip" href='/docs/hoon/library/2j/#add-ja' title="Prepend to list"><code>+-add:ja</code></a>
23−<a class="tooltip" href='/docs/hoon/library/3b/#add-rd' title="Add (double-precision float)"><code>++add:rd</code></a>
24−<a class="tooltip" href='/docs/hoon/library/3b/#add-rh' title="Add (half-precision float)"><code>++add:rh</code></a>
25−<a class="tooltip" href='/docs/hoon/library/3b/#add-rs' title="Add (single-precision float)"><code>++add:rs</code></a>
26−<a class="tooltip" href='/docs/hoon/library/3b/#add-rq' title="Add (quad-precision float)"><code>++add:rq</code></a>
27−<a class="tooltip" href='/docs/hoon/library/4j/#ag' title="Top-level atom parser engine"><code>++ag</code></a>
28−<a class="tooltip" href='/docs/hoon/library/4i/#alf' title="Parse alphabetic characters"><code>++alf</code></a>
29−<a class="tooltip" href='/docs/hoon/library/2i/#all-by' title="Logical AND (map and wet gate)"><code>+-all:by</code></a>
30−<a class="tooltip" href='/docs/hoon/library/2h/#all-in' title="Logical AND (set and wet gate)"><code>+-all:in</code></a>
31−<a class="tooltip" href='/docs/hoon/library/4i/#aln' title="Parse alphanumeric characters"><code>++aln</code></a>
32−<a class="tooltip" href='/docs/hoon/library/4i/#alp' title="Parse alphanumeric characters and -"><code>++alp</code></a>
33−<a class="tooltip" href='/docs/hoon/library/2i/#any-by' title="Logical OR (map and wet gate)"><code>+-any:by</code></a>
34−<a class="tooltip" href='/docs/hoon/library/2h/#any-in' title="Logical OR (set and gate)"><code>+-any:in</code></a>
35−<a class="tooltip" href='/docs/hoon/library/2f/#aor' title="Alphabetical order"><code>++aor</code></a>
36−<a class="tooltip" href='/docs/hoon/library/4j/#ape-ag' title="Parse 0 or rule"><code>++ape:ag</code></a>
37−<a class="tooltip" href='/docs/hoon/library/2i/#apt-by' title="Check correctness (map)"><code>+-apt:by</code></a>
38−<a class="tooltip" href='/docs/hoon/library/2h/#apt-in' title="Check correctness (set)"><code>+-apt:in</code></a>
39−<a class="tooltip" href='/docs/hoon/library/4b/#at' title="(Undocumented)"><code>++at</code></a>
40−<a class="tooltip" href='/docs/hoon/library/4o/#aura' title="'Type' of atom"><code>++aura</code></a>
41−<a class="tooltip" href='/docs/hoon/library/4o/#axis' title="Nock axis"><code>++axis</code></a>
14+<a class="tooltip" href='/docs/reference/library/4j/#ab' title="Primitive parser engine"><code>++ab</code></a>
15+<a class="tooltip" href='/docs/reference/library/3b/#abs-fl' title="Absolute value"><code>++abs:fl</code></a>
16+<a class="tooltip" href='/docs/reference/library/3a/#abs-si' title="Absolute value (signed integer)"><code>++abs:si</code></a>
17+<a class="tooltip" href='/docs/reference/library/4o/#abel' title="Compiler alias"><code>++abel</code></a>
18+<a class="tooltip" href='/docs/reference/library/4h/#ace' title="Parse space"><code>++ace</code></a>
19+<a class="tooltip" href='/docs/reference/library/1a/#add' title="Add"><code>++add</code></a>
20+<a class="tooltip" href='/docs/reference/library/3b/#add-ff' title="Add (floating point)"><code>++add:ff</code></a>
21+<a class="tooltip" href='/docs/reference/library/3b/#add-fl' title="Add (with exact/rounded flag)"><code>++add:fl</code></a>
22+<a class="tooltip" href='/docs/reference/library/2j/#add-ja' title="Prepend to list"><code>+-add:ja</code></a>
23+<a class="tooltip" href='/docs/reference/library/3b/#add-rd' title="Add (double-precision float)"><code>++add:rd</code></a>
24+<a class="tooltip" href='/docs/reference/library/3b/#add-rh' title="Add (half-precision float)"><code>++add:rh</code></a>
25+<a class="tooltip" href='/docs/reference/library/3b/#add-rs' title="Add (single-precision float)"><code>++add:rs</code></a>
26+<a class="tooltip" href='/docs/reference/library/3b/#add-rq' title="Add (quad-precision float)"><code>++add:rq</code></a>
27+<a class="tooltip" href='/docs/reference/library/4j/#ag' title="Top-level atom parser engine"><code>++ag</code></a>
28+<a class="tooltip" href='/docs/reference/library/4i/#alf' title="Parse alphabetic characters"><code>++alf</code></a>
29+<a class="tooltip" href='/docs/reference/library/2i/#all-by' title="Logical AND (map and wet gate)"><code>+-all:by</code></a>
30+<a class="tooltip" href='/docs/reference/library/2h/#all-in' title="Logical AND (set and wet gate)"><code>+-all:in</code></a>
31+<a class="tooltip" href='/docs/reference/library/4i/#aln' title="Parse alphanumeric characters"><code>++aln</code></a>
32+<a class="tooltip" href='/docs/reference/library/4i/#alp' title="Parse alphanumeric characters and -"><code>++alp</code></a>
33+<a class="tooltip" href='/docs/reference/library/2i/#any-by' title="Logical OR (map and wet gate)"><code>+-any:by</code></a>
34+<a class="tooltip" href='/docs/reference/library/2h/#any-in' title="Logical OR (set and gate)"><code>+-any:in</code></a>
35+<a class="tooltip" href='/docs/reference/library/2f/#aor' title="Alphabetical order"><code>++aor</code></a>
36+<a class="tooltip" href='/docs/reference/library/4j/#ape-ag' title="Parse 0 or rule"><code>++ape:ag</code></a>
37+<a class="tooltip" href='/docs/reference/library/2i/#apt-by' title="Check correctness (map)"><code>+-apt:by</code></a>
38+<a class="tooltip" href='/docs/reference/library/2h/#apt-in' title="Check correctness (set)"><code>+-apt:in</code></a>
39+<a class="tooltip" href='/docs/reference/library/4b/#at' title="(Undocumented)"><code>++at</code></a>
40+<a class="tooltip" href='/docs/reference/library/4o/#aura' title="'Type' of atom"><code>++aura</code></a>
41+<a class="tooltip" href='/docs/reference/library/4o/#axis' title="Nock axis"><code>++axis</code></a>
4242
4343### b
4444
45−<a class="tooltip" href='/docs/hoon/library/2k/#bal-to' title="Balance queue"><code>+-bal:to</code></a>
46−<a class="tooltip" href='/docs/hoon/library/4h/#bar' title="Parse | (bar)"><code>++bar</code></a>
47−<a class="tooltip" href='/docs/hoon/library/4h/#bas' title="Parse \ (bas)"><code>++bas</code></a>
48−<a class="tooltip" href='/docs/hoon/library/4o/#base' title="Base type"><code>++base</code></a>
49−<a class="tooltip" href='/docs/hoon/library/4f/#bass' title="Parser modifier (LSB-ordered ++list as atom of ++base)"><code>++bass</code></a>
50−<a class="tooltip" href='/docs/hoon/library/4j/#bay-ag' title="Parses binary number"><code>++bay:ag</code></a>
51−<a class="tooltip" href='/docs/hoon/library/4o/#bean' title="Boolean"><code>++bean</code></a>
52−<a class="tooltip" href='/docs/hoon/library/4o/#beer' title="Tape builder"><code>++beer</code></a>
53−<a class="tooltip" href='/docs/hoon/library/4o/#beet' title="XML interpolation cases"><code>++beet</code></a>
54−<a class="tooltip" href='/docs/hoon/library/4e/#bend' title="Conditional composer"><code>++bend</code></a>
55−<a class="tooltip" href='/docs/hoon/library/4i/#bet' title="Parse hep and lus axis syntax"><code>++bet</code></a>
56−<a class="tooltip" href='/docs/hoon/library/2c/#bex' title="Binary exponent"><code>++bex</code></a>
57−<a class="tooltip" href='/docs/hoon/library/3b/#bif-ff' title="Converts from fn to @r"><code>++bif:ff</code></a>
58−<a class="tooltip" href='/docs/hoon/library/2i/#bif-by' title="Bifurcate map"><code>+-bif:by</code></a>
59−<a class="tooltip" href='/docs/hoon/library/2h/#bif-in' title="Bifurcate set"><code>+-bif:in</code></a>
60−<a class="tooltip" href='/docs/hoon/library/2a/#biff' title="Unit as argument"><code>++biff</code></a>
61−<a class="tooltip" href='/docs/hoon/library/4i/#bin' title="Binary to atom"><code>++bin</code></a>
62−<a class="tooltip" href='/docs/hoon/library/2a/#bind' title="Non-unit function to unit, producing unit"><code>++bind</code></a>
63−<a class="tooltip" href='/docs/hoon/library/4j/#bip-ag' title="Parse IPv6"><code>++bip:ag</code></a>
64−<a class="tooltip" href='/docs/hoon/library/3b/#bit-ff' title="fn to @r with rounding"><code>++bit:ff</code></a>
65−<a class="tooltip" href='/docs/hoon/library/3b/#bit-rd' title="fn to double-precision binary float"><code>++bit:rd</code></a>
66−<a class="tooltip" href='/docs/hoon/library/3b/#bit-rh' title="fn to half-precision float"><code>++bit:rh</code></a>
67−<a class="tooltip" href='/docs/hoon/library/3b/#bit-rs' title="fn to single-precision float"><code>++bit:rs</code></a>
68−<a class="tooltip" href='/docs/hoon/library/3b/#bit-rq' title="fn to quad-precision float"><code>++bit:rq</code></a>
69−<a class="tooltip" href='/docs/hoon/library/4j/#bix-ab' title="Parse hex pair"><code>++bix:ab</code></a>
70−<a class="tooltip" href='/docs/hoon/library/4l/#bisk-so' title="Parse odor-atom pair"><code>++bisk:so</code></a>
71−<a class="tooltip" href='/docs/hoon/library/1c/#bloq' title="Blocksize"><code>++bloq</code></a>
72−<a class="tooltip" href='/docs/hoon/library/2a/#bond' title="Replace null"><code>++bond</code></a>
73−<a class="tooltip" href='/docs/hoon/library/4f/#boss' title="Parser modifier: LSB"><code>++boss</code></a>
74−<a class="tooltip" href='/docs/hoon/library/2a/#both' title="Group unit values into pair"><code>++both</code></a>
75−<a class="tooltip" href='/docs/hoon/library/4h/#buc' title="Parse $ (buc)"><code>++buc</code></a>
76−<a class="tooltip" href='/docs/hoon/library/4i/#but' title="Parse binary digit"><code>++but</code></a>
45+<a class="tooltip" href='/docs/reference/library/2k/#bal-to' title="Balance queue"><code>+-bal:to</code></a>
46+<a class="tooltip" href='/docs/reference/library/4h/#bar' title="Parse | (bar)"><code>++bar</code></a>
47+<a class="tooltip" href='/docs/reference/library/4h/#bas' title="Parse \ (bas)"><code>++bas</code></a>
48+<a class="tooltip" href='/docs/reference/library/4o/#base' title="Base type"><code>++base</code></a>
49+<a class="tooltip" href='/docs/reference/library/4f/#bass' title="Parser modifier (LSB-ordered ++list as atom of ++base)"><code>++bass</code></a>
50+<a class="tooltip" href='/docs/reference/library/4j/#bay-ag' title="Parses binary number"><code>++bay:ag</code></a>
51+<a class="tooltip" href='/docs/reference/library/4o/#bean' title="Boolean"><code>++bean</code></a>
52+<a class="tooltip" href='/docs/reference/library/4o/#beer' title="Tape builder"><code>++beer</code></a>
53+<a class="tooltip" href='/docs/reference/library/4o/#beet' title="XML interpolation cases"><code>++beet</code></a>
54+<a class="tooltip" href='/docs/reference/library/4e/#bend' title="Conditional composer"><code>++bend</code></a>
55+<a class="tooltip" href='/docs/reference/library/4i/#bet' title="Parse hep and lus axis syntax"><code>++bet</code></a>
56+<a class="tooltip" href='/docs/reference/library/2c/#bex' title="Binary exponent"><code>++bex</code></a>
57+<a class="tooltip" href='/docs/reference/library/3b/#bif-ff' title="Converts from fn to @r"><code>++bif:ff</code></a>
58+<a class="tooltip" href='/docs/reference/library/2i/#bif-by' title="Bifurcate map"><code>+-bif:by</code></a>
59+<a class="tooltip" href='/docs/reference/library/2h/#bif-in' title="Bifurcate set"><code>+-bif:in</code></a>
60+<a class="tooltip" href='/docs/reference/library/2a/#biff' title="Unit as argument"><code>++biff</code></a>
61+<a class="tooltip" href='/docs/reference/library/4i/#bin' title="Binary to atom"><code>++bin</code></a>
62+<a class="tooltip" href='/docs/reference/library/2a/#bind' title="Non-unit function to unit, producing unit"><code>++bind</code></a>
63+<a class="tooltip" href='/docs/reference/library/4j/#bip-ag' title="Parse IPv6"><code>++bip:ag</code></a>
64+<a class="tooltip" href='/docs/reference/library/3b/#bit-ff' title="fn to @r with rounding"><code>++bit:ff</code></a>
65+<a class="tooltip" href='/docs/reference/library/3b/#bit-rd' title="fn to double-precision binary float"><code>++bit:rd</code></a>
66+<a class="tooltip" href='/docs/reference/library/3b/#bit-rh' title="fn to half-precision float"><code>++bit:rh</code></a>
67+<a class="tooltip" href='/docs/reference/library/3b/#bit-rs' title="fn to single-precision float"><code>++bit:rs</code></a>
68+<a class="tooltip" href='/docs/reference/library/3b/#bit-rq' title="fn to quad-precision float"><code>++bit:rq</code></a>
69+<a class="tooltip" href='/docs/reference/library/4j/#bix-ab' title="Parse hex pair"><code>++bix:ab</code></a>
70+<a class="tooltip" href='/docs/reference/library/4l/#bisk-so' title="Parse odor-atom pair"><code>++bisk:so</code></a>
71+<a class="tooltip" href='/docs/reference/library/1c/#bloq' title="Blocksize"><code>++bloq</code></a>
72+<a class="tooltip" href='/docs/reference/library/2a/#bond' title="Replace null"><code>++bond</code></a>
73+<a class="tooltip" href='/docs/reference/library/4f/#boss' title="Parser modifier: LSB"><code>++boss</code></a>
74+<a class="tooltip" href='/docs/reference/library/2a/#both' title="Group unit values into pair"><code>++both</code></a>
75+<a class="tooltip" href='/docs/reference/library/4h/#buc' title="Parse $ (buc)"><code>++buc</code></a>
76+<a class="tooltip" href='/docs/reference/library/4i/#but' title="Parse binary digit"><code>++but</code></a>
7777
7878### c
7979
80−<a class="tooltip" href='/docs/hoon/library/4h/#cab' title="Parse _ (cab)"><code>++cab</code></a>
81−<a class="tooltip" href='/docs/hoon/library/2c/#can' title="Assemble"><code>++can</code></a>
82−<a class="tooltip" href='/docs/hoon/library/1b/#cap' title="Tree head"><code>++cap</code></a>
83−<a class="tooltip" href='/docs/hoon/library/4b/#cass' title="To lowercase"><code>++cass</code></a>
84−<a class="tooltip" href='/docs/hoon/library/2c/#cat' title="Concatenate"><code>++cat</code></a>
85−<a class="tooltip" href='/docs/hoon/library/4h/#cen' title="Parse % (cen)"><code>++cen</code></a>
86−<a class="tooltip" href='/docs/hoon/library/3c/#cet-yo' title="Days in a century"><code>++cet:yo</code></a>
87−<a class="tooltip" href='/docs/hoon/library/2q/#char' title="Character"><code>++char</code></a>
88−<a class="tooltip" href='/docs/hoon/library/4o/#chum' title="Jet hint information"><code>++chum</code></a>
89−<a class="tooltip" href='/docs/hoon/library/4i/#cit' title="Octal digit"><code>++cit</code></a>
90−<a class="tooltip" href='/docs/hoon/library/2a/#clap' title="Apply function to two units"><code>++clap</code></a>
91−<a class="tooltip" href='/docs/hoon/library/3a/#cmp-si' title="Compare (signed integer)"><code>++cmp:si</code></a>
92−<a class="tooltip" href='/docs/hoon/library/4k/#co' title="Literal rendering engine"><code>++co</code></a>
93−<a class="tooltip" href='/docs/hoon/library/4o/#coil' title="Tuple of core information"><code>++coil</code></a>
94−<a class="tooltip" href='/docs/hoon/library/3g/#coin' title="Noun-literal syntax cases"><code>++coin</code></a>
95−<a class="tooltip" href='/docs/hoon/library/4h/#col' title="Parse : (col)"><code>++col</code></a>
96−<a class="tooltip" href='/docs/hoon/library/4f/#cold' title="Replace with constant"><code>++cold</code></a>
97−<a class="tooltip" href='/docs/hoon/library/4h/#com' title="Parse , (com)"><code>++com</code></a>
98−<a class="tooltip" href='/docs/hoon/library/4e/#comp' title="Arbitrary compose"><code>++comp</code></a>
99−<a class="tooltip" href='/docs/hoon/library/2d/#con' title="Binary OR"><code>++con</code></a>
100−<a class="tooltip" href='/docs/hoon/library/4f/#cook' title="Apply gate"><code>++cook</code></a>
101−<a class="tooltip" href='/docs/hoon/library/2q/#cord' title="UTF-8 text"><code>++cord</code></a>
102−<a class="tooltip" href='/docs/hoon/library/2n/#cork' title="Compose forward"><code>++cork</code></a>
103−<a class="tooltip" href='/docs/hoon/library/2n/#corl' title="Compose backward"><code>++corl</code></a>
104−<a class="tooltip" href='/docs/hoon/library/4b/#crip' title="Tape to cord"><code>++crip</code></a>
105−<a class="tooltip" href='/docs/hoon/library/4l/#crub-so' title="Parse @da, @dr, @p, @t"><code>++crub:so</code></a>
106−<a class="tooltip" href='/docs/hoon/library/2p/#cue' title="Unpack atom to noun"><code>++cue</code></a>
107−<a class="tooltip" href='/docs/hoon/library/2n/#curr' title="Right-curry a gate"><code>++curr</code></a>
108−<a class="tooltip" href='/docs/hoon/library/2n/#cury' title="Curry left a gate"><code>++cury</code></a>
109−<a class="tooltip" href='/docs/hoon/library/4b/#cuss' title="To uppercase"><code>++cuss</code></a>
110−<a class="tooltip" href='/docs/hoon/library/2c/#cut' title="Slice"><code>++cut</code></a>
80+<a class="tooltip" href='/docs/reference/library/4h/#cab' title="Parse _ (cab)"><code>++cab</code></a>
81+<a class="tooltip" href='/docs/reference/library/2c/#can' title="Assemble"><code>++can</code></a>
82+<a class="tooltip" href='/docs/reference/library/1b/#cap' title="Tree head"><code>++cap</code></a>
83+<a class="tooltip" href='/docs/reference/library/4b/#cass' title="To lowercase"><code>++cass</code></a>
84+<a class="tooltip" href='/docs/reference/library/2c/#cat' title="Concatenate"><code>++cat</code></a>
85+<a class="tooltip" href='/docs/reference/library/4h/#cen' title="Parse % (cen)"><code>++cen</code></a>
86+<a class="tooltip" href='/docs/reference/library/3c/#cet-yo' title="Days in a century"><code>++cet:yo</code></a>
87+<a class="tooltip" href='/docs/reference/library/2q/#char' title="Character"><code>++char</code></a>
88+<a class="tooltip" href='/docs/reference/library/4o/#chum' title="Jet hint information"><code>++chum</code></a>
89+<a class="tooltip" href='/docs/reference/library/4i/#cit' title="Octal digit"><code>++cit</code></a>
90+<a class="tooltip" href='/docs/reference/library/2a/#clap' title="Apply function to two units"><code>++clap</code></a>
91+<a class="tooltip" href='/docs/reference/library/3a/#cmp-si' title="Compare (signed integer)"><code>++cmp:si</code></a>
92+<a class="tooltip" href='/docs/reference/library/4k/#co' title="Literal rendering engine"><code>++co</code></a>
93+<a class="tooltip" href='/docs/reference/library/4o/#coil' title="Tuple of core information"><code>++coil</code></a>
94+<a class="tooltip" href='/docs/reference/library/3g/#coin' title="Noun-literal syntax cases"><code>++coin</code></a>
95+<a class="tooltip" href='/docs/reference/library/4h/#col' title="Parse : (col)"><code>++col</code></a>
96+<a class="tooltip" href='/docs/reference/library/4f/#cold' title="Replace with constant"><code>++cold</code></a>
97+<a class="tooltip" href='/docs/reference/library/4h/#com' title="Parse , (com)"><code>++com</code></a>
98+<a class="tooltip" href='/docs/reference/library/4e/#comp' title="Arbitrary compose"><code>++comp</code></a>
99+<a class="tooltip" href='/docs/reference/library/2d/#con' title="Binary OR"><code>++con</code></a>
100+<a class="tooltip" href='/docs/reference/library/4f/#cook' title="Apply gate"><code>++cook</code></a>
101+<a class="tooltip" href='/docs/reference/library/2q/#cord' title="UTF-8 text"><code>++cord</code></a>
102+<a class="tooltip" href='/docs/reference/library/2n/#cork' title="Compose forward"><code>++cork</code></a>
103+<a class="tooltip" href='/docs/reference/library/2n/#corl' title="Compose backward"><code>++corl</code></a>
104+<a class="tooltip" href='/docs/reference/library/4b/#crip' title="Tape to cord"><code>++crip</code></a>
105+<a class="tooltip" href='/docs/reference/library/4l/#crub-so' title="Parse @da, @dr, @p, @t"><code>++crub:so</code></a>
106+<a class="tooltip" href='/docs/reference/library/2p/#cue' title="Unpack atom to noun"><code>++cue</code></a>
107+<a class="tooltip" href='/docs/reference/library/2n/#curr' title="Right-curry a gate"><code>++curr</code></a>
108+<a class="tooltip" href='/docs/reference/library/2n/#cury' title="Curry left a gate"><code>++cury</code></a>
109+<a class="tooltip" href='/docs/reference/library/4b/#cuss' title="To uppercase"><code>++cuss</code></a>
110+<a class="tooltip" href='/docs/reference/library/2c/#cut' title="Slice"><code>++cut</code></a>
111111
112112### d
113113
114−<a class="tooltip" href='/docs/hoon/library/4j/#d-ne' title="Render decimal"><code>++d:ne</code></a>
115−<a class="tooltip" href='/docs/hoon/library/2q/#date' title="Point in time"><code>++date</code></a>
116−<a class="tooltip" href='/docs/hoon/library/3c/#day-yo' title="Seconds in day"><code>++day:yo</code></a>
117−<a class="tooltip" href='/docs/hoon/library/1a/#dec' title="Decrement"><code>++dec</code></a>
118−<a class="tooltip" href='/docs/hoon/library/2i/#def-by' title="Difference (map)"><code>+-def:by</code></a>
119−<a class="tooltip" href='/docs/hoon/library/2i/#del-by' title="Delete (map)"><code>+-del:by</code></a>
120−<a class="tooltip" href='/docs/hoon/library/2h/#del-in' title="Delete (set)"><code>+-del:in</code></a>
121−<a class="tooltip" href='/docs/hoon/library/2j/#del-ju' title="Delete (jug)"><code>+-del:ju</code></a>
122−<a class="tooltip" href='/docs/hoon/library/4i/#dem' title="Decimal to atom"><code>++dem</code></a>
123−<a class="tooltip" href='/docs/hoon/library/4j/#dem-ag' title="Parse decmal with dots"><code>++dem:ag</code></a>
124−<a class="tooltip" href='/docs/hoon/library/3b/#den-fl' title="Denormalizes (floating point)"><code>++den:fl</code></a>
125−<a class="tooltip" href='/docs/hoon/library/2i/#dep-by' title="Difference as patch (map)"><code>+-dep:by</code></a>
126−<a class="tooltip" href='/docs/hoon/library/2k/#dep-to' title="Maximum depth (queue)"><code>+-dep:to</code></a>
127−<a class="tooltip" href='/docs/hoon/library/2c/#dif-fe' title="Difference between atoms (modular basis)"><code>++dif:fe</code></a>
128−<a class="tooltip" href='/docs/hoon/library/3a/#dif-fo' title='Subtraction (modular base)'><code>++dif:fo</code></a>
129−<a class="tooltip" href='/docs/hoon/library/2h/#dif-in' title='Difference (set)'><code>+-dif:in</code></a>
130−<a class="tooltip" href='/docs/hoon/library/3a/#dif-si' title="Subtraction (signed integer)"><code>++dif:si</code></a>
131−<a class="tooltip" href='/docs/hoon/library/2i/#dig-by' title="Address of key (map)"><code>+-dig:by</code></a>
132−<a class="tooltip" href='/docs/hoon/library/2h/#dig-in' title="Address of a in set"><code>+-dig:in</code></a>
133−<a class="tooltip" href='/docs/hoon/library/4j/#dim-ag' title="Parse decimal number"><code>++dim:ag</code></a>
134−<a class="tooltip" href='/docs/hoon/library/3g/#dime' title="Aura-atom pair"><code>++dime</code></a>
135−<a class="tooltip" href='/docs/hoon/library/4c/#din-re' title="(Undocumented)"><code>++din:re</code></a>
136−<a class="tooltip" href='/docs/hoon/library/2d/#dis' title="Binary AND (atoms)"><code>++dis</code></a>
137−<a class="tooltip" href='/docs/hoon/library/4i/#dit' title="Decimal digit"><code>++dit</code></a>
138−<a class="tooltip" href='/docs/hoon/library/1a/#div' title="Divide"><code>++div</code></a>
139−<a class="tooltip" href='/docs/hoon/library/3b/#div-ff' title="Divide (IEEE float)"><code>++div:ff</code></a>
140−<a class="tooltip" href='/docs/hoon/library/3b/#div-fl' title="Divide (signed and unsigned integer cell)"><code>++div:fl</code></a>
141−<a class="tooltip" href='/docs/hoon/library/3b/#div-rd' title="Double precision float"><code>++div:rd</code></a>
142−<a class="tooltip" href='/docs/hoon/library/3b/#div-rh' title="Divide (half-precision float)"><code>++div:rh</code></a>
143−<a class="tooltip" href='/docs/hoon/library/3b/#div-rs' title="Divide (single-precision float)"><code>++div:rs</code></a>
144−<a class="tooltip" href='/docs/hoon/library/3b/#div-rq' title="Divide (quad-precision float)"><code>++div:rq</code></a>
145−<a class="tooltip" href='/docs/hoon/library/4i/#dog' title="Optional gap"><code>++dog</code></a>
146−<a class="tooltip" href='/docs/hoon/library/4i/#doh' title="@p separator"><code>++doh</code></a>
147−<a class="tooltip" href='/docs/hoon/library/4h/#doq' title="Parse double quote"><code>++doq</code></a>
148−<a class="tooltip" href='/docs/hoon/library/2f/#dor' title="Numeric order"><code>++dor</code></a>
149−<a class="tooltip" href='/docs/hoon/library/4h/#dot' title="Parse period"><code>++dot</code></a>
150−<a class="tooltip" href='/docs/hoon/library/3b/#drg-ff' title="@r to decimal float"><code>++drg:ff</code></a>
151−<a class="tooltip" href='/docs/hoon/library/3b/#drg-fl' title="Get printable decimal (signed and unsigned integer cell)"><code>++drg:fl</code></a>
152−<a class="tooltip" href='/docs/hoon/library/3b/#drg-rd' title="@rd to decimal float"><code>++drg:rd</code></a>
153−<a class="tooltip" href='/docs/hoon/library/3b/#drg-rh' title="@rh to decimal float"><code>++drg:rh</code></a>
154−<a class="tooltip" href='/docs/hoon/library/3b/#drg-rs' title="@rs to decimal float"><code>++drg:rs</code></a>
155−<a class="tooltip" href='/docs/hoon/library/3b/#drg-rq' title="@rq to decimal float"><code>++drg:rq</code></a>
156−<a class="tooltip" href='/docs/hoon/library/2a/#drop' title="Unit to list"><code>++drop</code></a>
157−<a class="tooltip" href='/docs/hoon/library/3a/#dul-si' title="Modulus (signed integer)"><code>++dul:si</code></a>
158−<a class="tooltip" href='/docs/hoon/library/4j/#dum-ag' title="Parse decimal with leading zero"><code>++dum:ag</code></a>
159−<a class="tooltip" href='/docs/hoon/library/4i/#dun' title="-- to ~"><code>++dun</code></a>
160−<a class="tooltip" href='/docs/hoon/library/4i/#duz' title="== to ~"><code>++duz</code></a>
161−<a class="tooltip" href='/docs/hoon/library/1a/#dvr' title="Divide (with remainder)"><code>++dvr</code></a>
114+<a class="tooltip" href='/docs/reference/library/4j/#d-ne' title="Render decimal"><code>++d:ne</code></a>
115+<a class="tooltip" href='/docs/reference/library/2q/#date' title="Point in time"><code>++date</code></a>
116+<a class="tooltip" href='/docs/reference/library/3c/#day-yo' title="Seconds in day"><code>++day:yo</code></a>
117+<a class="tooltip" href='/docs/reference/library/1a/#dec' title="Decrement"><code>++dec</code></a>
118+<a class="tooltip" href='/docs/reference/library/2i/#def-by' title="Difference (map)"><code>+-def:by</code></a>
119+<a class="tooltip" href='/docs/reference/library/2i/#del-by' title="Delete (map)"><code>+-del:by</code></a>
120+<a class="tooltip" href='/docs/reference/library/2h/#del-in' title="Delete (set)"><code>+-del:in</code></a>
121+<a class="tooltip" href='/docs/reference/library/2j/#del-ju' title="Delete (jug)"><code>+-del:ju</code></a>
122+<a class="tooltip" href='/docs/reference/library/4i/#dem' title="Decimal to atom"><code>++dem</code></a>
123+<a class="tooltip" href='/docs/reference/library/4j/#dem-ag' title="Parse decmal with dots"><code>++dem:ag</code></a>
124+<a class="tooltip" href='/docs/reference/library/3b/#den-fl' title="Denormalizes (floating point)"><code>++den:fl</code></a>
125+<a class="tooltip" href='/docs/reference/library/2i/#dep-by' title="Difference as patch (map)"><code>+-dep:by</code></a>
126+<a class="tooltip" href='/docs/reference/library/2k/#dep-to' title="Maximum depth (queue)"><code>+-dep:to</code></a>
127+<a class="tooltip" href='/docs/reference/library/2c/#dif-fe' title="Difference between atoms (modular basis)"><code>++dif:fe</code></a>
128+<a class="tooltip" href='/docs/reference/library/3a/#dif-fo' title='Subtraction (modular base)'><code>++dif:fo</code></a>
129+<a class="tooltip" href='/docs/reference/library/2h/#dif-in' title='Difference (set)'><code>+-dif:in</code></a>
130+<a class="tooltip" href='/docs/reference/library/3a/#dif-si' title="Subtraction (signed integer)"><code>++dif:si</code></a>
131+<a class="tooltip" href='/docs/reference/library/2i/#dig-by' title="Address of key (map)"><code>+-dig:by</code></a>
132+<a class="tooltip" href='/docs/reference/library/2h/#dig-in' title="Address of a in set"><code>+-dig:in</code></a>
133+<a class="tooltip" href='/docs/reference/library/4j/#dim-ag' title="Parse decimal number"><code>++dim:ag</code></a>
134+<a class="tooltip" href='/docs/reference/library/3g/#dime' title="Aura-atom pair"><code>++dime</code></a>
135+<a class="tooltip" href='/docs/reference/library/4c/#din-re' title="(Undocumented)"><code>++din:re</code></a>
136+<a class="tooltip" href='/docs/reference/library/2d/#dis' title="Binary AND (atoms)"><code>++dis</code></a>
137+<a class="tooltip" href='/docs/reference/library/4i/#dit' title="Decimal digit"><code>++dit</code></a>
138+<a class="tooltip" href='/docs/reference/library/1a/#div' title="Divide"><code>++div</code></a>
139+<a class="tooltip" href='/docs/reference/library/3b/#div-ff' title="Divide (IEEE float)"><code>++div:ff</code></a>
140+<a class="tooltip" href='/docs/reference/library/3b/#div-fl' title="Divide (signed and unsigned integer cell)"><code>++div:fl</code></a>
141+<a class="tooltip" href='/docs/reference/library/3b/#div-rd' title="Double precision float"><code>++div:rd</code></a>
142+<a class="tooltip" href='/docs/reference/library/3b/#div-rh' title="Divide (half-precision float)"><code>++div:rh</code></a>
143+<a class="tooltip" href='/docs/reference/library/3b/#div-rs' title="Divide (single-precision float)"><code>++div:rs</code></a>
144+<a class="tooltip" href='/docs/reference/library/3b/#div-rq' title="Divide (quad-precision float)"><code>++div:rq</code></a>
145+<a class="tooltip" href='/docs/reference/library/4i/#dog' title="Optional gap"><code>++dog</code></a>
146+<a class="tooltip" href='/docs/reference/library/4i/#doh' title="@p separator"><code>++doh</code></a>
147+<a class="tooltip" href='/docs/reference/library/4h/#doq' title="Parse double quote"><code>++doq</code></a>
148+<a class="tooltip" href='/docs/reference/library/2f/#dor' title="Numeric order"><code>++dor</code></a>
149+<a class="tooltip" href='/docs/reference/library/4h/#dot' title="Parse period"><code>++dot</code></a>
150+<a class="tooltip" href='/docs/reference/library/3b/#drg-ff' title="@r to decimal float"><code>++drg:ff</code></a>
151+<a class="tooltip" href='/docs/reference/library/3b/#drg-fl' title="Get printable decimal (signed and unsigned integer cell)"><code>++drg:fl</code></a>
152+<a class="tooltip" href='/docs/reference/library/3b/#drg-rd' title="@rd to decimal float"><code>++drg:rd</code></a>
153+<a class="tooltip" href='/docs/reference/library/3b/#drg-rh' title="@rh to decimal float"><code>++drg:rh</code></a>
154+<a class="tooltip" href='/docs/reference/library/3b/#drg-rs' title="@rs to decimal float"><code>++drg:rs</code></a>
155+<a class="tooltip" href='/docs/reference/library/3b/#drg-rq' title="@rq to decimal float"><code>++drg:rq</code></a>
156+<a class="tooltip" href='/docs/reference/library/2a/#drop' title="Unit to list"><code>++drop</code></a>
157+<a class="tooltip" href='/docs/reference/library/3a/#dul-si' title="Modulus (signed integer)"><code>++dul:si</code></a>
158+<a class="tooltip" href='/docs/reference/library/4j/#dum-ag' title="Parse decimal with leading zero"><code>++dum:ag</code></a>
159+<a class="tooltip" href='/docs/reference/library/4i/#dun' title="-- to ~"><code>++dun</code></a>
160+<a class="tooltip" href='/docs/reference/library/4i/#duz' title="== to ~"><code>++duz</code></a>
161+<a class="tooltip" href='/docs/reference/library/1a/#dvr' title="Divide (with remainder)"><code>++dvr</code></a>
162162
163163### e
164164
165−<a class="tooltip" href='/docs/hoon/library/3b/#ead-fl' title="Exact add"><code>++ead:fl</code></a>
166−<a class="tooltip" href='/docs/hoon/library/1c/#each' title="Mold of fork between two types"><code>++each</code></a>
167−<a class="tooltip" href='/docs/hoon/library/4f/#easy' title="Always parse"><code>++easy</code></a>
168−<a class="tooltip" href='/docs/hoon/library/3g/#edge' title="Parsing location metadata"><code>++edge</code></a>
169−<a class="tooltip" href='/docs/hoon/library/3a/#egcd' title="Extended Euclidean algorithm"><code>++egcd</code></a>
170−<a class="tooltip" href='/docs/hoon/library/3b/#emn-fl' title="Minimum exponent"><code>++emn:fl</code></a>
171−<a class="tooltip" href='/docs/hoon/library/3b/#emu-fl' title="Exact multiply"><code>++emu:fl</code></a>
172−<a class="tooltip" href='/docs/hoon/library/3b/#emx-fl' title="Maximum exponent"><code>++emx:fl</code></a>
173−<a class="tooltip" href='/docs/hoon/library/2c/#end' title="Tail"><code>++end</code></a>
174−<a class="tooltip" href='/docs/hoon/library/3b/#equ-ff' title="Equals (IEEE float)"><code>++equ:ff</code></a>
175−<a class="tooltip" href='/docs/hoon/library/3b/#equ-fl' title="Equals (signed and unsigned integer cell)"><code>++equ:fl</code></a>
176−<a class="tooltip" href='/docs/hoon/library/3b/#equ-rd' title="Equals (double-precision float)"><code>++equ:rd</code></a>
177−<a class="tooltip" href='/docs/hoon/library/3b/#equ-rh' title="Equals (half-precision float)"><code>++equ:rh</code></a>
178−<a class="tooltip" href='/docs/hoon/library/3b/#equ-rs' title="Equals (single-precision float)"><code>++equ:rs</code></a>
179−<a class="tooltip" href='/docs/hoon/library/3b/#equ-rq' title="Equals (quad-precision float)"><code>++equ:rq</code></a>
180−<a class="tooltip" href='/docs/hoon/library/3c/#era-yo' title="Leap-year period"><code>++era:yo</code></a>
181−<a class="tooltip" href='/docs/hoon/library/3b/#exp-ff' title="Get exponent (IEEE float)"><code>++exp:ff</code></a>
182−<a class="tooltip" href='/docs/hoon/library/3a/#exp-fo' title="Exponent (modular base)"><code>++exp:fo</code></a>
183−<a class="tooltip" href='/docs/hoon/library/3b/#exp-rd' title="Exponent (@rd)"><code>++exp:rd</code></a>
184−<a class="tooltip" href='/docs/hoon/library/3b/#exp-rh' title="Exponent (half-precision float)"><code>++exp:rh</code></a>
185−<a class="tooltip" href='/docs/hoon/library/3b/#exp-rs' title="Exponent (@rs)"><code>++exp:rs</code></a>
186−<a class="tooltip" href='/docs/hoon/library/3b/#exp-rq' title="Exponent (quad-precision float)"><code>++exp:rq</code></a>
165+<a class="tooltip" href='/docs/reference/library/3b/#ead-fl' title="Exact add"><code>++ead:fl</code></a>
166+<a class="tooltip" href='/docs/reference/library/1c/#each' title="Mold of fork between two types"><code>++each</code></a>
167+<a class="tooltip" href='/docs/reference/library/4f/#easy' title="Always parse"><code>++easy</code></a>
168+<a class="tooltip" href='/docs/reference/library/3g/#edge' title="Parsing location metadata"><code>++edge</code></a>
169+<a class="tooltip" href='/docs/reference/library/3a/#egcd' title="Extended Euclidean algorithm"><code>++egcd</code></a>
170+<a class="tooltip" href='/docs/reference/library/3b/#emn-fl' title="Minimum exponent"><code>++emn:fl</code></a>
171+<a class="tooltip" href='/docs/reference/library/3b/#emu-fl' title="Exact multiply"><code>++emu:fl</code></a>
172+<a class="tooltip" href='/docs/reference/library/3b/#emx-fl' title="Maximum exponent"><code>++emx:fl</code></a>
173+<a class="tooltip" href='/docs/reference/library/2c/#end' title="Tail"><code>++end</code></a>
174+<a class="tooltip" href='/docs/reference/library/3b/#equ-ff' title="Equals (IEEE float)"><code>++equ:ff</code></a>
175+<a class="tooltip" href='/docs/reference/library/3b/#equ-fl' title="Equals (signed and unsigned integer cell)"><code>++equ:fl</code></a>
176+<a class="tooltip" href='/docs/reference/library/3b/#equ-rd' title="Equals (double-precision float)"><code>++equ:rd</code></a>
177+<a class="tooltip" href='/docs/reference/library/3b/#equ-rh' title="Equals (half-precision float)"><code>++equ:rh</code></a>
178+<a class="tooltip" href='/docs/reference/library/3b/#equ-rs' title="Equals (single-precision float)"><code>++equ:rs</code></a>
179+<a class="tooltip" href='/docs/reference/library/3b/#equ-rq' title="Equals (quad-precision float)"><code>++equ:rq</code></a>
180+<a class="tooltip" href='/docs/reference/library/3c/#era-yo' title="Leap-year period"><code>++era:yo</code></a>
181+<a class="tooltip" href='/docs/reference/library/3b/#exp-ff' title="Get exponent (IEEE float)"><code>++exp:ff</code></a>
182+<a class="tooltip" href='/docs/reference/library/3a/#exp-fo' title="Exponent (modular base)"><code>++exp:fo</code></a>
183+<a class="tooltip" href='/docs/reference/library/3b/#exp-rd' title="Exponent (@rd)"><code>++exp:rd</code></a>
184+<a class="tooltip" href='/docs/reference/library/3b/#exp-rh' title="Exponent (half-precision float)"><code>++exp:rh</code></a>
185+<a class="tooltip" href='/docs/reference/library/3b/#exp-rs' title="Exponent (@rs)"><code>++exp:rs</code></a>
186+<a class="tooltip" href='/docs/reference/library/3b/#exp-rq' title="Exponent (quad-precision float)"><code>++exp:rq</code></a>
187187
188188### f
189189
190−<a class="tooltip" href='/docs/hoon/library/4e/#fail' title="Never parse"><code>++fail</code></a>
191−<a class="tooltip" href='/docs/hoon/library/2a/#fall' title="Give unit a default value"><code>++fall</code></a>
192−<a class="tooltip" href='/docs/hoon/library/2b/#fand' title="All indices in list"><code>++fand</code></a>
193−<a class="tooltip" href='/docs/hoon/library/4h/#fas' title="Parse / (fas)"><code>++fas</code></a>
194−<a class="tooltip" href='/docs/hoon/library/2c/#fe' title="Modulo bloq"><code>++fe</code></a>
195−<a class="tooltip" href='/docs/hoon/library/4j/#fed-ag' title="Parse @p"><code>++fed:ag</code></a>
196−<a class="tooltip" href='/docs/hoon/library/3f/#feen-ob' title="Conceal structure v2"><code>++feen:ob</code></a>
197−<a class="tooltip" href='/docs/hoon/library/3f/#fend-ob' title="Restore structure v2"><code>++fend:ob</code></a>
198−<a class="tooltip" href='/docs/hoon/library/3f/#fice-ob' title="Feistel-like cipher"><code>++fice:ob</code></a>
199−<a class="tooltip" href='/docs/hoon/library/2c/#fil' title="Fill bloqstream"><code>++fil</code></a>
200−<a class="tooltip" href='/docs/hoon/library/2b/#find' title="First index in list"><code>++find</code></a>
201−<a class="tooltip" href='/docs/hoon/library/4c/#fit-re' title="Fit on one line test"><code>++fit:re</code></a>
202−<a class="tooltip" href='/docs/hoon/library/3b/#fli-fl' title="Flip sign"><code>++fli:fl</code></a>
203−<a class="tooltip" href='/docs/hoon/library/2b/#flop' title="Reverse list"><code>++flop</code></a>
204−<a class="tooltip" href='/docs/hoon/library/3b/#fma-ff' title="Fused multiply-add (IEEE float)"><code>++fma:ff</code></a>
205−<a class="tooltip" href='/docs/hoon/library/3b/#fma-fl' title="Fused multiply-add"><code>++fma:fl</code></a>
206−<a class="tooltip" href='/docs/hoon/library/3b/#fma-rd' title="Fused multiply-add (@rd)"><code>++fma:rd</code></a>
207−<a class="tooltip" href='/docs/hoon/library/3b/#fma-rh' title="Fused multiply-add (half-precision float)"><code>++fma:rh</code></a>
208−<a class="tooltip" href='/docs/hoon/library/3b/#fma-rs' title="Fused multiply-add (single-precision float)"><code>++fma:rs</code></a>
209−<a class="tooltip" href='/docs/hoon/library/3b/#fma-rq' title="Fused multiply-add (quad-precision float)"><code>++fma:rq</code></a>
210−<a class="tooltip" href='/docs/hoon/library/2e/#fnv' title="FNV scrambler"><code>++fnv</code></a>
211−<a class="tooltip" href='/docs/hoon/library/3a/#fo' title="Modulo prime"><code>++fo</code></a>
212−<a class="tooltip" href='/docs/hoon/library/4o/#foot' title="Cases of arms by variance model"><code>++foot</code></a>
213−<a class="tooltip" href='/docs/hoon/library/3b/#fos-rh' title="@rs to @rh"><code>++fos:rh</code></a>
214−<a class="tooltip" href='/docs/hoon/library/3a/#fra-fo' title="Divide (modular base)"><code>++fra:fo</code></a>
215−<a class="tooltip" href='/docs/hoon/library/3a/#fra-si' title="Divide (signed integer)"><code>++fra:si</code></a>
216−<a class="tooltip" href='/docs/hoon/library/4f/#full' title="Parse to end"><code>++full</code></a>
217−<a class="tooltip" href='/docs/hoon/library/4f/#funk' title="Add to tape"><code>++funk</code></a>
190+<a class="tooltip" href='/docs/reference/library/4e/#fail' title="Never parse"><code>++fail</code></a>
191+<a class="tooltip" href='/docs/reference/library/2a/#fall' title="Give unit a default value"><code>++fall</code></a>
192+<a class="tooltip" href='/docs/reference/library/2b/#fand' title="All indices in list"><code>++fand</code></a>
193+<a class="tooltip" href='/docs/reference/library/4h/#fas' title="Parse / (fas)"><code>++fas</code></a>
194+<a class="tooltip" href='/docs/reference/library/2c/#fe' title="Modulo bloq"><code>++fe</code></a>
195+<a class="tooltip" href='/docs/reference/library/4j/#fed-ag' title="Parse @p"><code>++fed:ag</code></a>
196+<a class="tooltip" href='/docs/reference/library/3f/#feen-ob' title="Conceal structure v2"><code>++feen:ob</code></a>
197+<a class="tooltip" href='/docs/reference/library/3f/#fend-ob' title="Restore structure v2"><code>++fend:ob</code></a>
198+<a class="tooltip" href='/docs/reference/library/3f/#fice-ob' title="Feistel-like cipher"><code>++fice:ob</code></a>
199+<a class="tooltip" href='/docs/reference/library/2c/#fil' title="Fill bloqstream"><code>++fil</code></a>
200+<a class="tooltip" href='/docs/reference/library/2b/#find' title="First index in list"><code>++find</code></a>
201+<a class="tooltip" href='/docs/reference/library/4c/#fit-re' title="Fit on one line test"><code>++fit:re</code></a>
202+<a class="tooltip" href='/docs/reference/library/3b/#fli-fl' title="Flip sign"><code>++fli:fl</code></a>
203+<a class="tooltip" href='/docs/reference/library/2b/#flop' title="Reverse list"><code>++flop</code></a>
204+<a class="tooltip" href='/docs/reference/library/3b/#fma-ff' title="Fused multiply-add (IEEE float)"><code>++fma:ff</code></a>
205+<a class="tooltip" href='/docs/reference/library/3b/#fma-fl' title="Fused multiply-add"><code>++fma:fl</code></a>
206+<a class="tooltip" href='/docs/reference/library/3b/#fma-rd' title="Fused multiply-add (@rd)"><code>++fma:rd</code></a>
207+<a class="tooltip" href='/docs/reference/library/3b/#fma-rh' title="Fused multiply-add (half-precision float)"><code>++fma:rh</code></a>
208+<a class="tooltip" href='/docs/reference/library/3b/#fma-rs' title="Fused multiply-add (single-precision float)"><code>++fma:rs</code></a>
209+<a class="tooltip" href='/docs/reference/library/3b/#fma-rq' title="Fused multiply-add (quad-precision float)"><code>++fma:rq</code></a>
210+<a class="tooltip" href='/docs/reference/library/2e/#fnv' title="FNV scrambler"><code>++fnv</code></a>
211+<a class="tooltip" href='/docs/reference/library/3a/#fo' title="Modulo prime"><code>++fo</code></a>
212+<a class="tooltip" href='/docs/reference/library/4o/#foot' title="Cases of arms by variance model"><code>++foot</code></a>
213+<a class="tooltip" href='/docs/reference/library/3b/#fos-rh' title="@rs to @rh"><code>++fos:rh</code></a>
214+<a class="tooltip" href='/docs/reference/library/3a/#fra-fo' title="Divide (modular base)"><code>++fra:fo</code></a>
215+<a class="tooltip" href='/docs/reference/library/3a/#fra-si' title="Divide (signed integer)"><code>++fra:si</code></a>
216+<a class="tooltip" href='/docs/reference/library/4f/#full' title="Parse to end"><code>++full</code></a>
217+<a class="tooltip" href='/docs/reference/library/4f/#funk' title="Add to tape"><code>++funk</code></a>
218218
219219### g
220220
221−<a class="tooltip" href='/docs/hoon/library/4i/#gah' title="New line or ''"><code>++gah</code></a>
222−<a class="tooltip" href='/docs/hoon/library/4h/#gal' title="Parse < (gal)"><code>++gal</code></a>
223−<a class="tooltip" href='/docs/hoon/library/4i/#gap' title="Plural whitespace"><code>++gap</code></a>
224−<a class="tooltip" href='/docs/hoon/library/4i/#gaq' title="End of line"><code>++gaq</code></a>
225−<a class="tooltip" href='/docs/hoon/library/4h/#gar' title="Parse > (gar)"><code>++gar</code></a>
226−<a class="tooltip" href='/docs/hoon/library/2i/#gas-by' title="Concatenate (map)"><code>+-gas:by</code></a>
227−<a class="tooltip" href='/docs/hoon/library/2h/#gas-in' title="Concatenate (set)"><code>+-gas:in</code></a>
228−<a class="tooltip" href='/docs/hoon/library/2k/#gas-to' title="Push list into queue"><code>+-gas:to</code></a>
229−<a class="tooltip" href='/docs/hoon/library/1c/#gate' title="Function"><code>++gate</code></a>
230−<a class="tooltip" href='/docs/hoon/library/4i/#gaw' title="Classic whitespace"><code>++gaw</code></a>
231−<a class="tooltip" href='/docs/hoon/library/4i/#gay' title="Optional gap"><code>++gay</code></a>
232−<a class="tooltip" href='/docs/hoon/library/2i/#get-by' title="Grab unit value"><code>+-get:by</code></a>
233−<a class="tooltip" href='/docs/hoon/library/2j/#get-ja' title="Grab value by key"><code>+-get:ja</code></a>
234−<a class="tooltip" href='/docs/hoon/library/2j/#get-ju' title="Retrieve set"><code>+-get:ju</code></a>
235−<a class="tooltip" href='/docs/hoon/library/2k/#get-to' title="Head-tail pair"><code>+-get:to</code></a>
236−<a class="tooltip" href='/docs/hoon/library/4e/#glue' title="Skip delimiter"><code>++glue</code></a>
237−<a class="tooltip" href='/docs/hoon/library/4i/#gon' title="Parse long numbers"><code>++gon</code></a>
238−<a class="tooltip" href='/docs/hoon/library/2f/#gor' title="Hash order"><code>++gor</code></a>
239−<a class="tooltip" href='/docs/hoon/library/2i/#got-by' title="Assert for value (map)"><code>+-got:by</code></a>
240−<a class="tooltip" href='/docs/hoon/library/3b/#grd-ff' title="Decimal float to @r"><code>++grd:ff</code></a>
241−<a class="tooltip" href='/docs/hoon/library/3b/#grd-fl' title="Decimal to float"><code>++grd:fl</code></a>
242−<a class="tooltip" href='/docs/hoon/library/3b/#grd-rd' title="Decimal float to @rd"><code>++grd:rd</code></a>
243−<a class="tooltip" href='/docs/hoon/library/3b/#grd-rh' title="Decimal float to @rh"><code>++grd:rh</code></a>
244−<a class="tooltip" href='/docs/hoon/library/3b/#grd-rs' title="Decimal float to @rs"><code>++grd:rs</code></a>
245−<a class="tooltip" href='/docs/hoon/library/3b/#grd-rq' title="Decimal float to @rq"><code>++grd:rq</code></a>
246−<a class="tooltip" href='/docs/hoon/library/1a/#gte' title="Greater than / equal"><code>++gte</code></a>
247−<a class="tooltip" href='/docs/hoon/library/3b/#gte-ff' title="Greater than / equal (IEEE float)"><code>++gte:ff</code></a>
248−<a class="tooltip" href='/docs/hoon/library/3b/#gte-fl' title="Greater than / equal (producing flag)"><code>++gte:fl</code></a>
249−<a class="tooltip" href='/docs/hoon/library/3b/#gte-rd' title="Greater than / equal (double-precision float)"><code>++gte:rd</code></a>
250−<a class="tooltip" href='/docs/hoon/library/3b/#gte-rh' title="Greater than / equal (half-precision float)"><code>++gte:rh</code></a>
251−<a class="tooltip" href='/docs/hoon/library/3b/#gte-rs' title="Greater than / equal (single-precision float)"><code>++gte:rs</code></a>
252−<a class="tooltip" href='/docs/hoon/library/3b/#gte-rq' title="Greater than / equal (quad-precision float)"><code>++gte:rq</code></a>
253−<a class="tooltip" href='/docs/hoon/library/1a/#gth' title="Greater than"><code>++gth</code></a>
254−<a class="tooltip" href='/docs/hoon/library/3b/#gth-ff' title="Greater than (IEEE float)"><code>++gth:ff</code></a>
255−<a class="tooltip" href='/docs/hoon/library/3b/#gth-fl' title="Greater than (producing flag)"><code>++gth:fl</code></a>
256−<a class="tooltip" href='/docs/hoon/library/3b/#gth-rd' title="Greater than (double-precision float)"><code>++gth:rd</code></a>
257−<a class="tooltip" href='/docs/hoon/library/3b/#gth-rh' title="Greater than (half-precision float)"><code>++gth:rh</code></a>
258−<a class="tooltip" href='/docs/hoon/library/3b/#gth-rs' title="Greater than (single-precision float)"><code>++gth:rs</code></a>
259−<a class="tooltip" href='/docs/hoon/library/3b/#gth-rq' title="Greater than (quad-precision float)"><code>++gth:rq</code></a>
260−<a class="tooltip" href='/docs/hoon/library/4i/#gul' title="Axis syntax < or >"><code>++gul</code></a>
261−<a class="tooltip" href='/docs/hoon/library/2b/#gulf' title="List from range"><code>++gulf</code></a>
221+<a class="tooltip" href='/docs/reference/library/4i/#gah' title="New line or ''"><code>++gah</code></a>
222+<a class="tooltip" href='/docs/reference/library/4h/#gal' title="Parse < (gal)"><code>++gal</code></a>
223+<a class="tooltip" href='/docs/reference/library/4i/#gap' title="Plural whitespace"><code>++gap</code></a>
224+<a class="tooltip" href='/docs/reference/library/4i/#gaq' title="End of line"><code>++gaq</code></a>
225+<a class="tooltip" href='/docs/reference/library/4h/#gar' title="Parse > (gar)"><code>++gar</code></a>
226+<a class="tooltip" href='/docs/reference/library/2i/#gas-by' title="Concatenate (map)"><code>+-gas:by</code></a>
227+<a class="tooltip" href='/docs/reference/library/2h/#gas-in' title="Concatenate (set)"><code>+-gas:in</code></a>
228+<a class="tooltip" href='/docs/reference/library/2k/#gas-to' title="Push list into queue"><code>+-gas:to</code></a>
229+<a class="tooltip" href='/docs/reference/library/1c/#gate' title="Function"><code>++gate</code></a>
230+<a class="tooltip" href='/docs/reference/library/4i/#gaw' title="Classic whitespace"><code>++gaw</code></a>
231+<a class="tooltip" href='/docs/reference/library/4i/#gay' title="Optional gap"><code>++gay</code></a>
232+<a class="tooltip" href='/docs/reference/library/2i/#get-by' title="Grab unit value"><code>+-get:by</code></a>
233+<a class="tooltip" href='/docs/reference/library/2j/#get-ja' title="Grab value by key"><code>+-get:ja</code></a>
234+<a class="tooltip" href='/docs/reference/library/2j/#get-ju' title="Retrieve set"><code>+-get:ju</code></a>
235+<a class="tooltip" href='/docs/reference/library/2k/#get-to' title="Head-tail pair"><code>+-get:to</code></a>
236+<a class="tooltip" href='/docs/reference/library/4e/#glue' title="Skip delimiter"><code>++glue</code></a>
237+<a class="tooltip" href='/docs/reference/library/4i/#gon' title="Parse long numbers"><code>++gon</code></a>
238+<a class="tooltip" href='/docs/reference/library/2f/#gor' title="Hash order"><code>++gor</code></a>
239+<a class="tooltip" href='/docs/reference/library/2i/#got-by' title="Assert for value (map)"><code>+-got:by</code></a>
240+<a class="tooltip" href='/docs/reference/library/3b/#grd-ff' title="Decimal float to @r"><code>++grd:ff</code></a>
241+<a class="tooltip" href='/docs/reference/library/3b/#grd-fl' title="Decimal to float"><code>++grd:fl</code></a>
242+<a class="tooltip" href='/docs/reference/library/3b/#grd-rd' title="Decimal float to @rd"><code>++grd:rd</code></a>
243+<a class="tooltip" href='/docs/reference/library/3b/#grd-rh' title="Decimal float to @rh"><code>++grd:rh</code></a>
244+<a class="tooltip" href='/docs/reference/library/3b/#grd-rs' title="Decimal float to @rs"><code>++grd:rs</code></a>
245+<a class="tooltip" href='/docs/reference/library/3b/#grd-rq' title="Decimal float to @rq"><code>++grd:rq</code></a>
246+<a class="tooltip" href='/docs/reference/library/1a/#gte' title="Greater than / equal"><code>++gte</code></a>
247+<a class="tooltip" href='/docs/reference/library/3b/#gte-ff' title="Greater than / equal (IEEE float)"><code>++gte:ff</code></a>
248+<a class="tooltip" href='/docs/reference/library/3b/#gte-fl' title="Greater than / equal (producing flag)"><code>++gte:fl</code></a>
249+<a class="tooltip" href='/docs/reference/library/3b/#gte-rd' title="Greater than / equal (double-precision float)"><code>++gte:rd</code></a>
250+<a class="tooltip" href='/docs/reference/library/3b/#gte-rh' title="Greater than / equal (half-precision float)"><code>++gte:rh</code></a>
251+<a class="tooltip" href='/docs/reference/library/3b/#gte-rs' title="Greater than / equal (single-precision float)"><code>++gte:rs</code></a>
252+<a class="tooltip" href='/docs/reference/library/3b/#gte-rq' title="Greater than / equal (quad-precision float)"><code>++gte:rq</code></a>
253+<a class="tooltip" href='/docs/reference/library/1a/#gth' title="Greater than"><code>++gth</code></a>
254+<a class="tooltip" href='/docs/reference/library/3b/#gth-ff' title="Greater than (IEEE float)"><code>++gth:ff</code></a>
255+<a class="tooltip" href='/docs/reference/library/3b/#gth-fl' title="Greater than (producing flag)"><code>++gth:fl</code></a>
256+<a class="tooltip" href='/docs/reference/library/3b/#gth-rd' title="Greater than (double-precision float)"><code>++gth:rd</code></a>
257+<a class="tooltip" href='/docs/reference/library/3b/#gth-rh' title="Greater than (half-precision float)"><code>++gth:rh</code></a>
258+<a class="tooltip" href='/docs/reference/library/3b/#gth-rs' title="Greater than (single-precision float)"><code>++gth:rs</code></a>
259+<a class="tooltip" href='/docs/reference/library/3b/#gth-rq' title="Greater than (quad-precision float)"><code>++gth:rq</code></a>
260+<a class="tooltip" href='/docs/reference/library/4i/#gul' title="Axis syntax < or >"><code>++gul</code></a>
261+<a class="tooltip" href='/docs/reference/library/2b/#gulf' title="List from range"><code>++gulf</code></a>
262262
263263### h
264264
265−<a class="tooltip" href='/docs/hoon/library/3g/#hair' title="Parsing line and column"><code>++hair</code></a>
266−<a class="tooltip" href='/docs/hoon/library/2n/#hard' title="Force remold"><code>++hard</code></a>
267−<a class="tooltip" href='/docs/hoon/library/2i/#has-by' title="Key existence check (map)"><code>+-has:by</code></a>
268−<a class="tooltip" href='/docs/hoon/library/2h/#has-in' title="Key existence check (set)"><code>+-has:in</code></a>
269−<a class="tooltip" href='/docs/hoon/library/2j/#has-ju' title="Check contents (jug)"><code>+-has:ju</code></a>
270−<a class="tooltip" href='/docs/hoon/library/4h/#hax' title="Parse # (hax)"><code>++hax</code></a>
271−<a class="tooltip" href='/docs/hoon/library/2n/#head' title="Get head of cell"><code>++head</code></a>
272−<a class="tooltip" href='/docs/hoon/library/4f/#here' title="Place-based apply"><code>++here</code></a>
273−<a class="tooltip" href='/docs/hoon/library/4h/#hep' title="Parse - (hep)"><code>++hep</code></a>
274−<a class="tooltip" href='/docs/hoon/library/4i/#hex' title="Hexadecimal to atom"><code>++hex</code></a>
275−<a class="tooltip" href='/docs/hoon/library/4j/#hex-ag' title="Parse hexadecimal number"><code>++hex:ag</code></a>
276−<a class="tooltip" href='/docs/hoon/library/4j/#hif-ab' title="Parse phonetic pair"><code>++hif:ab</code></a>
277−<a class="tooltip" href='/docs/hoon/library/4i/#hig' title="Parse single uppercase letter"><code>++hig</code></a>
278−<a class="tooltip" href='/docs/hoon/library/4i/#hit' title="Parse single hexadecimal digit"><code>++hit</code></a>
279−<a class="tooltip" href='/docs/hoon/library/2b/#homo' title="Homogenize list"><code>++homo</code></a>
280−<a class="tooltip" href='/docs/hoon/library/2f/#hor' title="Horizontal hash order"><code>++hor</code></a>
281−<a class="tooltip" href='/docs/hoon/library/3c/#hor-yo' title="Seconds in hour"><code>++hor:yo</code></a>
282−<a class="tooltip" href='/docs/hoon/library/4j/#huf-ab' title="Parse two phonetic pairs"><code>++huf:ab</code></a>
283−<a class="tooltip" href='/docs/hoon/library/4j/#hyf-ab' title="Parse 8 phonetic bytes"><code>++hyf:ab</code></a>
265+<a class="tooltip" href='/docs/reference/library/3g/#hair' title="Parsing line and column"><code>++hair</code></a>
266+<a class="tooltip" href='/docs/reference/library/2n/#hard' title="Force remold"><code>++hard</code></a>
267+<a class="tooltip" href='/docs/reference/library/2i/#has-by' title="Key existence check (map)"><code>+-has:by</code></a>
268+<a class="tooltip" href='/docs/reference/library/2h/#has-in' title="Key existence check (set)"><code>+-has:in</code></a>
269+<a class="tooltip" href='/docs/reference/library/2j/#has-ju' title="Check contents (jug)"><code>+-has:ju</code></a>
270+<a class="tooltip" href='/docs/reference/library/4h/#hax' title="Parse # (hax)"><code>++hax</code></a>
271+<a class="tooltip" href='/docs/reference/library/2n/#head' title="Get head of cell"><code>++head</code></a>
272+<a class="tooltip" href='/docs/reference/library/4f/#here' title="Place-based apply"><code>++here</code></a>
273+<a class="tooltip" href='/docs/reference/library/4h/#hep' title="Parse - (hep)"><code>++hep</code></a>
274+<a class="tooltip" href='/docs/reference/library/4i/#hex' title="Hexadecimal to atom"><code>++hex</code></a>
275+<a class="tooltip" href='/docs/reference/library/4j/#hex-ag' title="Parse hexadecimal number"><code>++hex:ag</code></a>
276+<a class="tooltip" href='/docs/reference/library/4j/#hif-ab' title="Parse phonetic pair"><code>++hif:ab</code></a>
277+<a class="tooltip" href='/docs/reference/library/4i/#hig' title="Parse single uppercase letter"><code>++hig</code></a>
278+<a class="tooltip" href='/docs/reference/library/4i/#hit' title="Parse single hexadecimal digit"><code>++hit</code></a>
279+<a class="tooltip" href='/docs/reference/library/2b/#homo' title="Homogenize list"><code>++homo</code></a>
280+<a class="tooltip" href='/docs/reference/library/2f/#hor' title="Horizontal hash order"><code>++hor</code></a>
281+<a class="tooltip" href='/docs/reference/library/3c/#hor-yo' title="Seconds in hour"><code>++hor:yo</code></a>
282+<a class="tooltip" href='/docs/reference/library/4j/#huf-ab' title="Parse two phonetic pairs"><code>++huf:ab</code></a>
283+<a class="tooltip" href='/docs/reference/library/4j/#hyf-ab' title="Parse 8 phonetic bytes"><code>++hyf:ab</code></a>
284284
285285### i
286286
287−<a class="tooltip" href='/docs/hoon/library/3b/#ibl-fl' title="Integer binary logarithm"><code>++ibl:fl</code></a>
288−<a class="tooltip" href='/docs/hoon/library/4f/#ifix' title="Infix"><code>++ifix</code></a>
289−<a class="tooltip" href='/docs/hoon/library/4a/#ind-po' title="Parse suffix"><code>++ind:po</code></a>
290−<a class="tooltip" href='/docs/hoon/library/4a/#ins-po' title="Parse prefix"><code>++ins:po</code></a>
291−<a class="tooltip" href='/docs/hoon/library/2i/#int-by' title="Intersection (map)"><code>+-int:by</code></a>
292−<a class="tooltip" href='/docs/hoon/library/2h/#int-in' title="Intersection (set)"><code>+-int:in</code></a>
293−<a class="tooltip" href='/docs/hoon/library/2c/#inv-fe' title="Inverse order of modular field"><code>++inv:fe</code></a>
294−<a class="tooltip" href='/docs/hoon/library/3b/#inv-fl' title="Inverse"><code>++inv:fl</code></a>
295−<a class="tooltip" href='/docs/hoon/library/3a/#inv-fo' title="Inverse (signed modulus)"><code>++inv:fo</code></a>
296−<a class="tooltip" href='/docs/hoon/library/4i/#iny' title="Indentation block"><code>++iny</code></a>
287+<a class="tooltip" href='/docs/reference/library/3b/#ibl-fl' title="Integer binary logarithm"><code>++ibl:fl</code></a>
288+<a class="tooltip" href='/docs/reference/library/4f/#ifix' title="Infix"><code>++ifix</code></a>
289+<a class="tooltip" href='/docs/reference/library/4a/#ind-po' title="Parse suffix"><code>++ind:po</code></a>
290+<a class="tooltip" href='/docs/reference/library/4a/#ins-po' title="Parse prefix"><code>++ins:po</code></a>
291+<a class="tooltip" href='/docs/reference/library/2i/#int-by' title="Intersection (map)"><code>+-int:by</code></a>
292+<a class="tooltip" href='/docs/reference/library/2h/#int-in' title="Intersection (set)"><code>+-int:in</code></a>
293+<a class="tooltip" href='/docs/reference/library/2c/#inv-fe' title="Inverse order of modular field"><code>++inv:fe</code></a>
294+<a class="tooltip" href='/docs/reference/library/3b/#inv-fl' title="Inverse"><code>++inv:fl</code></a>
295+<a class="tooltip" href='/docs/reference/library/3a/#inv-fo' title="Inverse (signed modulus)"><code>++inv:fo</code></a>
296+<a class="tooltip" href='/docs/reference/library/4i/#iny' title="Indentation block"><code>++iny</code></a>
297297
298298### j
299299
300−<a class="tooltip" href='/docs/hoon/library/2j/#ja' title="Jar engine"><code>++ja</code></a>
301−<a class="tooltip" href='/docs/hoon/library/2p/#jam' title="Pack noun to atom"><code>++jam</code></a>
302−<a class="tooltip" href='/docs/hoon/library/2o/#jar' title="Mold generator (jar)"><code>++jar</code></a>
303−<a class="tooltip" href='/docs/hoon/library/3c/#jes-yo' title="Maximum 64-bit timestamp"><code>++jes:yo</code></a>
304−<a class="tooltip" href='/docs/hoon/library/4f/#jest' title="Match a cord"><code>++jest</code></a>
305−<a class="tooltip" href='/docs/hoon/library/2b/#join' title="Add separator between list elements"><code>++join</code></a>
306−<a class="tooltip" href='/docs/hoon/library/2j/#ju' title="Jug operations"><code>++ju</code></a>
307−<a class="tooltip" href='/docs/hoon/library/2o/#jug' title="Mold generator (jug)"><code>++jug</code></a>
308−<a class="tooltip" href='/docs/hoon/library/4f/#just' title="Match a single character"><code>++just</code></a>
300+<a class="tooltip" href='/docs/reference/library/2j/#ja' title="Jar engine"><code>++ja</code></a>
301+<a class="tooltip" href='/docs/reference/library/2p/#jam' title="Pack noun to atom"><code>++jam</code></a>
302+<a class="tooltip" href='/docs/reference/library/2o/#jar' title="Mold generator (jar)"><code>++jar</code></a>
303+<a class="tooltip" href='/docs/reference/library/3c/#jes-yo' title="Maximum 64-bit timestamp"><code>++jes:yo</code></a>
304+<a class="tooltip" href='/docs/reference/library/4f/#jest' title="Match a cord"><code>++jest</code></a>
305+<a class="tooltip" href='/docs/reference/library/2b/#join' title="Add separator between list elements"><code>++join</code></a>
306+<a class="tooltip" href='/docs/reference/library/2j/#ju' title="Jug operations"><code>++ju</code></a>
307+<a class="tooltip" href='/docs/reference/library/2o/#jug' title="Mold generator (jug)"><code>++jug</code></a>
308+<a class="tooltip" href='/docs/reference/library/4f/#just' title="Match a single character"><code>++just</code></a>
309309
310310### k
311311
312−<a class="tooltip" href='/docs/hoon/library/4h/#kel' title="Parse { (kel)"><code>++kel</code></a>
313−<a class="tooltip" href='/docs/hoon/library/4h/#ker' title="Parse } (ker)"><code>++ker</code></a>
314−<a class="tooltip" href='/docs/hoon/library/4h/#ket' title="Parse ^ (ket)"><code>++ket</code></a>
315−<a class="tooltip" href='/docs/hoon/library/4f/#knee' title="Recursive parsers"><code>++knee</code></a>
316−<a class="tooltip" href='/docs/hoon/library/2q/#knot' title="Atom type of ASCII characters"><code>++knot</code></a>
312+<a class="tooltip" href='/docs/reference/library/4h/#kel' title="Parse { (kel)"><code>++kel</code></a>
313+<a class="tooltip" href='/docs/reference/library/4h/#ker' title="Parse } (ker)"><code>++ker</code></a>
314+<a class="tooltip" href='/docs/reference/library/4h/#ket' title="Parse ^ (ket)"><code>++ket</code></a>
315+<a class="tooltip" href='/docs/reference/library/4f/#knee' title="Recursive parsers"><code>++knee</code></a>
316+<a class="tooltip" href='/docs/reference/library/2q/#knot' title="Atom type of ASCII characters"><code>++knot</code></a>
317317
318318### l
319319
320−<a class="tooltip" href='/docs/hoon/library/4d/#last' title="Further trace"><code>++last</code></a>
321−<a class="tooltip" href='/docs/hoon/library/2m/#le-nl' title="Construct list from null-terminated noun"><code>++le:nl</code></a>
322−<a class="tooltip" href='/docs/hoon/library/2b/#lent' title="List length"><code>++lent</code></a>
323−<a class="tooltip" href='/docs/hoon/library/2b/#levy' title="Logical AND on list"><code>++levy</code></a>
324−<a class="tooltip" href='/docs/hoon/library/3b/#lfe-fl' title="Maximum"><code>++lfe:fl</code></a>
325−<a class="tooltip" href='/docs/hoon/library/3b/#lfn-fl' title="Largest normal float"><code>++lfn:fl</code></a>
326−<a class="tooltip" href='/docs/hoon/library/2b/#lien' title="Logical OR on list"><code>++lien</code></a>
327−<a class="tooltip" href='/docs/hoon/library/2a/#lift' title="Curried bind"><code>++lift</code></a>
328−<a class="tooltip" href='/docs/hoon/library/3g/#like' title="Generic edge"><code>++like</code></a>
329−<a class="tooltip" href='/docs/hoon/library/4o/#limb' title="Reference into subject by name/axis"><code>++limb</code></a>
330−<a class="tooltip" href='/docs/hoon/library/2b/#limo' title="Construct list from null-terminated tuple"><code>++limo</code></a>
331−<a class="tooltip" href='/docs/hoon/library/4o/#line' title="(Undocumented)"><code>++line</code></a>
332−<a class="tooltip" href='/docs/hoon/library/4j/#lip-ag' title="Parse IPv4 address"><code>++lip:ag</code></a>
333−<a class="tooltip" href='/docs/hoon/library/1c/#list' title="Mold constructor (list)"><code>++list</code></a>
334−<a class="tooltip" href='/docs/hoon/library/1c/#lone' title="Mold generator (face on mold)"><code>++lone</code></a>
335−<a class="tooltip" href='/docs/hoon/library/2f/#lor' title="Leg order"><code>++lor</code></a>
336−<a class="tooltip" href='/docs/hoon/library/4i/#low' title="Parse lowercase letter"><code>++low</code></a>
337−<a class="tooltip" href='/docs/hoon/library/2c/#lsh' title="Left-shift"><code>++lsh</code></a>
338−<a class="tooltip" href='/docs/hoon/library/1a/#lte' title="Less than / equal (atom)"><code>++lte</code></a>
339−<a class="tooltip" href='/docs/hoon/library/3b/#lte-ff' title="Less than / equal (IEEE float)"><code>++lte:ff</code></a>
340−<a class="tooltip" href='/docs/hoon/library/3b/#lte-fl' title="Less than / equal (producing flag)"><code>++lte:fl</code></a>
341−<a class="tooltip" href='/docs/hoon/library/3b/#lte-rd' title="Less than / equal (double-precision float)"><code>++lte:rd</code></a>
342−<a class="tooltip" href='/docs/hoon/library/3b/#lte-rh' title="Less than / equal (half-precision float)"><code>++lte:rh</code></a>
343−<a class="tooltip" href='/docs/hoon/library/3b/#lte-rs' title="Less than / equal (single-precision float)"><code>++lte:rs</code></a>
344−<a class="tooltip" href='/docs/hoon/library/3b/#lte-rq' title="Less than / equal (quad-precision float)"><code>++lte:rq</code></a>
345−<a class="tooltip" href='/docs/hoon/library/1a/#lth' title="Less than (atom)"><code>++lth</code></a>
346−<a class="tooltip" href='/docs/hoon/library/3b/#lth-ff' title="Less than (IEEE float)"><code>++lth:ff</code></a>
347−<a class="tooltip" href='/docs/hoon/library/3b/#lth-fl' title="Less than (signed and unsigned integer cell)"><code>++lth:fl</code></a>
348−<a class="tooltip" href='/docs/hoon/library/3b/#lth-rd' title="Less than (double-precision float)"><code>++lth:rd</code></a>
349−<a class="tooltip" href='/docs/hoon/library/3b/#lth-rh' title="Less than (half-precision float)"><code>++lth:rh</code></a>
350−<a class="tooltip" href='/docs/hoon/library/3b/#lth-rs' title="Less than (single-precision float)"><code>++lth:rs</code></a>
351−<a class="tooltip" href='/docs/hoon/library/3b/#lth-rq' title="Less than (quad-precision float)"><code>++lth:rq</code></a>
352−<a class="tooltip" href='/docs/hoon/library/3b/#lug-fl' title="Central rounding mechanism"><code>++lug:fl</code></a>
353−<a class="tooltip" href='/docs/hoon/library/4h/#lus' title="Parse + (lus)"><code>++lus</code></a>
354−<a class="tooltip" href='/docs/hoon/library/4d/#lust' title="Detect new line"><code>++lust</code></a>
355−<a class="tooltip" href='/docs/hoon/library/4e/#less' title="Parse unless"><code>++less</code></a>
356−<a class="tooltip" href='/docs/hoon/library/2m/#ly' title="List from raw noun"><code>++ly</code></a>
320+<a class="tooltip" href='/docs/reference/library/4d/#last' title="Further trace"><code>++last</code></a>
321+<a class="tooltip" href='/docs/reference/library/2m/#le-nl' title="Construct list from null-terminated noun"><code>++le:nl</code></a>
322+<a class="tooltip" href='/docs/reference/library/2b/#lent' title="List length"><code>++lent</code></a>
323+<a class="tooltip" href='/docs/reference/library/2b/#levy' title="Logical AND on list"><code>++levy</code></a>
324+<a class="tooltip" href='/docs/reference/library/3b/#lfe-fl' title="Maximum"><code>++lfe:fl</code></a>
325+<a class="tooltip" href='/docs/reference/library/3b/#lfn-fl' title="Largest normal float"><code>++lfn:fl</code></a>
326+<a class="tooltip" href='/docs/reference/library/2b/#lien' title="Logical OR on list"><code>++lien</code></a>
327+<a class="tooltip" href='/docs/reference/library/2a/#lift' title="Curried bind"><code>++lift</code></a>
328+<a class="tooltip" href='/docs/reference/library/3g/#like' title="Generic edge"><code>++like</code></a>
329+<a class="tooltip" href='/docs/reference/library/4o/#limb' title="Reference into subject by name/axis"><code>++limb</code></a>
330+<a class="tooltip" href='/docs/reference/library/2b/#limo' title="Construct list from null-terminated tuple"><code>++limo</code></a>
331+<a class="tooltip" href='/docs/reference/library/4o/#line' title="(Undocumented)"><code>++line</code></a>
332+<a class="tooltip" href='/docs/reference/library/4j/#lip-ag' title="Parse IPv4 address"><code>++lip:ag</code></a>
333+<a class="tooltip" href='/docs/reference/library/1c/#list' title="Mold constructor (list)"><code>++list</code></a>
334+<a class="tooltip" href='/docs/reference/library/1c/#lone' title="Mold generator (face on mold)"><code>++lone</code></a>
335+<a class="tooltip" href='/docs/reference/library/2f/#lor' title="Leg order"><code>++lor</code></a>
336+<a class="tooltip" href='/docs/reference/library/4i/#low' title="Parse lowercase letter"><code>++low</code></a>
337+<a class="tooltip" href='/docs/reference/library/2c/#lsh' title="Left-shift"><code>++lsh</code></a>
338+<a class="tooltip" href='/docs/reference/library/1a/#lte' title="Less than / equal (atom)"><code>++lte</code></a>
339+<a class="tooltip" href='/docs/reference/library/3b/#lte-ff' title="Less than / equal (IEEE float)"><code>++lte:ff</code></a>
340+<a class="tooltip" href='/docs/reference/library/3b/#lte-fl' title="Less than / equal (producing flag)"><code>++lte:fl</code></a>
341+<a class="tooltip" href='/docs/reference/library/3b/#lte-rd' title="Less than / equal (double-precision float)"><code>++lte:rd</code></a>
342+<a class="tooltip" href='/docs/reference/library/3b/#lte-rh' title="Less than / equal (half-precision float)"><code>++lte:rh</code></a>
343+<a class="tooltip" href='/docs/reference/library/3b/#lte-rs' title="Less than / equal (single-precision float)"><code>++lte:rs</code></a>
344+<a class="tooltip" href='/docs/reference/library/3b/#lte-rq' title="Less than / equal (quad-precision float)"><code>++lte:rq</code></a>
345+<a class="tooltip" href='/docs/reference/library/1a/#lth' title="Less than (atom)"><code>++lth</code></a>
346+<a class="tooltip" href='/docs/reference/library/3b/#lth-ff' title="Less than (IEEE float)"><code>++lth:ff</code></a>
347+<a class="tooltip" href='/docs/reference/library/3b/#lth-fl' title="Less than (signed and unsigned integer cell)"><code>++lth:fl</code></a>
348+<a class="tooltip" href='/docs/reference/library/3b/#lth-rd' title="Less than (double-precision float)"><code>++lth:rd</code></a>
349+<a class="tooltip" href='/docs/reference/library/3b/#lth-rh' title="Less than (half-precision float)"><code>++lth:rh</code></a>
350+<a class="tooltip" href='/docs/reference/library/3b/#lth-rs' title="Less than (single-precision float)"><code>++lth:rs</code></a>
351+<a class="tooltip" href='/docs/reference/library/3b/#lth-rq' title="Less than (quad-precision float)"><code>++lth:rq</code></a>
352+<a class="tooltip" href='/docs/reference/library/3b/#lug-fl' title="Central rounding mechanism"><code>++lug:fl</code></a>
353+<a class="tooltip" href='/docs/reference/library/4h/#lus' title="Parse + (lus)"><code>++lus</code></a>
354+<a class="tooltip" href='/docs/reference/library/4d/#lust' title="Detect new line"><code>++lust</code></a>
355+<a class="tooltip" href='/docs/reference/library/4e/#less' title="Parse unless"><code>++less</code></a>
356+<a class="tooltip" href='/docs/reference/library/2m/#ly' title="List from raw noun"><code>++ly</code></a>
357357
358358### m
359359
360−<a class="tooltip" href='/docs/hoon/library/3b/#ma-rd' title="Initialize ff (rd core)"><code>++ma:rd</code></a>
361−<a class="tooltip" href='/docs/hoon/library/3b/#ma-rh' title="Initialize ff (rh core)"><code>++ma:rh</code></a>
362−<a class="tooltip" href='/docs/hoon/library/3b/#ma-rs' title="Initialize ff (rs core)"><code>++ma:rs</code></a>
363−<a class="tooltip" href='/docs/hoon/library/3b/#ma-rq' title="Initialize ff (rq core)"><code>++ma:rq</code></a>
364−<a class="tooltip" href='/docs/hoon/library/4n/#mack' title="Nock subject to unit"><code>++mack</code></a>
365−<a class="tooltip" href='/docs/hoon/library/2l/#malt' title="Map from list"><code>++malt</code></a>
366−<a class="tooltip" href='/docs/hoon/library/2o/#map' title="Mold generator (map)"><code>++map</code></a>
367−<a class="tooltip" href='/docs/hoon/library/2i/#mar-by' title="Assert and add (map)"><code>+-mar:by</code></a>
368−<a class="tooltip" href='/docs/hoon/library/1b/#mas' title="Address within head/tail"><code>++mas</code></a>
369−<a class="tooltip" href='/docs/hoon/library/4f/#mask' title="Match character"><code>++mask</code></a>
370−<a class="tooltip" href='/docs/hoon/library/2p/#mat' title="Length-encode"><code>++mat</code></a>
371−<a class="tooltip" href='/docs/hoon/library/2a/#mate' title="Choose"><code>++mate</code></a>
372−<a class="tooltip" href='/docs/hoon/library/1a/#max' title="Maximum"><code>++max</code></a>
373−<a class="tooltip" href='/docs/hoon/library/3b/#me-ff' title="Minimum exponent of ff"><code>++me:ff</code></a>
374−<a class="tooltip" href='/docs/hoon/library/2n/#mean' title="Crash and printf"><code>++mean</code></a>
375−<a class="tooltip" href='/docs/hoon/library/4i/#mes' title="Parse hexabyte"><code>++mes</code></a>
376−<a class="tooltip" href='/docs/hoon/library/4b/#mesc' title="Escape special characters"><code>++mesc</code></a>
377−<a class="tooltip" href='/docs/hoon/library/2c/#met' title="Measure"><code>++met</code></a>
378−<a class="tooltip" href='/docs/hoon/library/4o/#metl' title="(Undocumented)"><code>++metl</code></a>
379−<a class="tooltip" href='/docs/hoon/library/1a/#min' title="Minimum (atom)"><code>++min</code></a>
380−<a class="tooltip" href='/docs/hoon/library/4n/#mink' title="Mock (virtual Nock) interpreter"><code>++mink</code></a>
381−<a class="tooltip" href='/docs/hoon/library/3c/#mit-yo' title="Seconds in minute"><code>++mit:yo</code></a>
382−<a class="tooltip" href='/docs/hoon/library/2d/#mix' title="Binary XOR (atom)"><code>++mix</code></a>
383−<a class="tooltip" href='/docs/hoon/library/4n/#mock' title="Compute formula on subject with hint"><code>++mock</code></a>
384−<a class="tooltip" href='/docs/hoon/library/1a/#mod' title="Modulus (atom)"><code>++mod</code></a>
385−<a class="tooltip" href='/docs/hoon/library/3c/#moh-yo' title="Days in month"><code>++moh:yo</code></a>
386−<a class="tooltip" href='/docs/hoon/library/2l/#molt' title="Map from pair list"><code>++molt</code></a>
387−<a class="tooltip" href='/docs/hoon/library/4n/#mong' title="Slam gate with sample"><code>++mong</code></a>
388−<a class="tooltip" href='/docs/hoon/library/4n/#mook' title="Intelligently render crash annotation"><code>++mook</code></a>
389−<a class="tooltip" href='/docs/hoon/library/4f/#more' title="Parse list with delimiter"><code>++more</code></a>
390−<a class="tooltip" href='/docs/hoon/library/4f/#most' title="Parse list of at least one match"><code>++most</code></a>
391−<a class="tooltip" href='/docs/hoon/library/3c/#moy-yo' title="Days in months of leap-year"><code>++moy:yo</code></a>
392−<a class="tooltip" href='/docs/hoon/library/4j/#mu' title="Core used to scramble 16-bit atoms"><code>++mu</code></a>
393−<a class="tooltip" href='/docs/hoon/library/2e/#mug' title="FNV-1a scrambler"><code>++mug</code></a>
394−<a class="tooltip" href='/docs/hoon/library/2e/#muk' title="Standard MurmurHash3"><code>++muk</code></a>
395−<a class="tooltip" href='/docs/hoon/library/1a/#mul' title="Multiply (atom)"><code>++mul</code></a>
396−<a class="tooltip" href='/docs/hoon/library/3b/#mul-ff' title="Multiply (IEEE float)"><code>++mul:ff</code></a>
397−<a class="tooltip" href='/docs/hoon/library/3b/#mul-fl' title="Multiply (signed and unsigned integer cell)"><code>++mul:fl</code></a>
398−<a class="tooltip" href='/docs/hoon/library/3b/#mul-rd' title="Multiply (double-precision float)"><code>++mul:rd</code></a>
399−<a class="tooltip" href='/docs/hoon/library/3b/#mul-rh' title="Multiply (quad-precision float)"><code>++mul:rh</code></a>
400−<a class="tooltip" href='/docs/hoon/library/3b/#mul-rs' title="Multiply (single-precision float)"><code>++mul:rs</code></a>
401−<a class="tooltip" href='/docs/hoon/library/3b/#mul-rq' title="Multiply (quad-precision float)"><code>++mul:rq</code></a>
402−<a class="tooltip" href='/docs/hoon/library/4n/#mule' title="Typed virtual"><code>++mule</code></a>
403−<a class="tooltip" href='/docs/hoon/library/4n/#mute' title="Untyped virtual"><code>++mute</code></a>
404−<a class="tooltip" href='/docs/hoon/library/2e/#mum' title="31-bit MurmurHash3 scrambler"><code>++mum</code></a>
405−<a class="tooltip" href='/docs/hoon/library/2b/#murn' title="Maybe transform"><code>++murn</code></a>
406−<a class="tooltip" href='/docs/hoon/library/2m/#my' title="Map from raw noun"><code>++my</code></a>
407−<a class="tooltip" href='/docs/hoon/library/2m/#my-nl' title="Construct map from null-terminated noun"><code>++my:nl</code></a>
360+<a class="tooltip" href='/docs/reference/library/3b/#ma-rd' title="Initialize ff (rd core)"><code>++ma:rd</code></a>
361+<a class="tooltip" href='/docs/reference/library/3b/#ma-rh' title="Initialize ff (rh core)"><code>++ma:rh</code></a>
362+<a class="tooltip" href='/docs/reference/library/3b/#ma-rs' title="Initialize ff (rs core)"><code>++ma:rs</code></a>
363+<a class="tooltip" href='/docs/reference/library/3b/#ma-rq' title="Initialize ff (rq core)"><code>++ma:rq</code></a>
364+<a class="tooltip" href='/docs/reference/library/4n/#mack' title="Nock subject to unit"><code>++mack</code></a>
365+<a class="tooltip" href='/docs/reference/library/2l/#malt' title="Map from list"><code>++malt</code></a>
366+<a class="tooltip" href='/docs/reference/library/2o/#map' title="Mold generator (map)"><code>++map</code></a>
367+<a class="tooltip" href='/docs/reference/library/2i/#mar-by' title="Assert and add (map)"><code>+-mar:by</code></a>
368+<a class="tooltip" href='/docs/reference/library/1b/#mas' title="Address within head/tail"><code>++mas</code></a>
369+<a class="tooltip" href='/docs/reference/library/4f/#mask' title="Match character"><code>++mask</code></a>
370+<a class="tooltip" href='/docs/reference/library/2p/#mat' title="Length-encode"><code>++mat</code></a>
371+<a class="tooltip" href='/docs/reference/library/2a/#mate' title="Choose"><code>++mate</code></a>
372+<a class="tooltip" href='/docs/reference/library/1a/#max' title="Maximum"><code>++max</code></a>
373+<a class="tooltip" href='/docs/reference/library/3b/#me-ff' title="Minimum exponent of ff"><code>++me:ff</code></a>
374+<a class="tooltip" href='/docs/reference/library/2n/#mean' title="Crash and printf"><code>++mean</code></a>
375+<a class="tooltip" href='/docs/reference/library/4i/#mes' title="Parse hexabyte"><code>++mes</code></a>
376+<a class="tooltip" href='/docs/reference/library/4b/#mesc' title="Escape special characters"><code>++mesc</code></a>
377+<a class="tooltip" href='/docs/reference/library/2c/#met' title="Measure"><code>++met</code></a>
378+<a class="tooltip" href='/docs/reference/library/4o/#metl' title="(Undocumented)"><code>++metl</code></a>
379+<a class="tooltip" href='/docs/reference/library/1a/#min' title="Minimum (atom)"><code>++min</code></a>
380+<a class="tooltip" href='/docs/reference/library/4n/#mink' title="Mock (virtual Nock) interpreter"><code>++mink</code></a>
381+<a class="tooltip" href='/docs/reference/library/3c/#mit-yo' title="Seconds in minute"><code>++mit:yo</code></a>
382+<a class="tooltip" href='/docs/reference/library/2d/#mix' title="Binary XOR (atom)"><code>++mix</code></a>
383+<a class="tooltip" href='/docs/reference/library/4n/#mock' title="Compute formula on subject with hint"><code>++mock</code></a>
384+<a class="tooltip" href='/docs/reference/library/1a/#mod' title="Modulus (atom)"><code>++mod</code></a>
385+<a class="tooltip" href='/docs/reference/library/3c/#moh-yo' title="Days in month"><code>++moh:yo</code></a>
386+<a class="tooltip" href='/docs/reference/library/2l/#molt' title="Map from pair list"><code>++molt</code></a>
387+<a class="tooltip" href='/docs/reference/library/4n/#mong' title="Slam gate with sample"><code>++mong</code></a>
388+<a class="tooltip" href='/docs/reference/library/4n/#mook' title="Intelligently render crash annotation"><code>++mook</code></a>
389+<a class="tooltip" href='/docs/reference/library/4f/#more' title="Parse list with delimiter"><code>++more</code></a>
390+<a class="tooltip" href='/docs/reference/library/4f/#most' title="Parse list of at least one match"><code>++most</code></a>
391+<a class="tooltip" href='/docs/reference/library/3c/#moy-yo' title="Days in months of leap-year"><code>++moy:yo</code></a>
392+<a class="tooltip" href='/docs/reference/library/4j/#mu' title="Core used to scramble 16-bit atoms"><code>++mu</code></a>
393+<a class="tooltip" href='/docs/reference/library/2e/#mug' title="FNV-1a scrambler"><code>++mug</code></a>
394+<a class="tooltip" href='/docs/reference/library/2e/#muk' title="Standard MurmurHash3"><code>++muk</code></a>
395+<a class="tooltip" href='/docs/reference/library/1a/#mul' title="Multiply (atom)"><code>++mul</code></a>
396+<a class="tooltip" href='/docs/reference/library/3b/#mul-ff' title="Multiply (IEEE float)"><code>++mul:ff</code></a>
397+<a class="tooltip" href='/docs/reference/library/3b/#mul-fl' title="Multiply (signed and unsigned integer cell)"><code>++mul:fl</code></a>
398+<a class="tooltip" href='/docs/reference/library/3b/#mul-rd' title="Multiply (double-precision float)"><code>++mul:rd</code></a>
399+<a class="tooltip" href='/docs/reference/library/3b/#mul-rh' title="Multiply (quad-precision float)"><code>++mul:rh</code></a>
400+<a class="tooltip" href='/docs/reference/library/3b/#mul-rs' title="Multiply (single-precision float)"><code>++mul:rs</code></a>
401+<a class="tooltip" href='/docs/reference/library/3b/#mul-rq' title="Multiply (quad-precision float)"><code>++mul:rq</code></a>
402+<a class="tooltip" href='/docs/reference/library/4n/#mule' title="Typed virtual"><code>++mule</code></a>
403+<a class="tooltip" href='/docs/reference/library/4n/#mute' title="Untyped virtual"><code>++mute</code></a>
404+<a class="tooltip" href='/docs/reference/library/2e/#mum' title="31-bit MurmurHash3 scrambler"><code>++mum</code></a>
405+<a class="tooltip" href='/docs/reference/library/2b/#murn' title="Maybe transform"><code>++murn</code></a>
406+<a class="tooltip" href='/docs/reference/library/2m/#my' title="Map from raw noun"><code>++my</code></a>
407+<a class="tooltip" href='/docs/reference/library/2m/#my-nl' title="Construct map from null-terminated noun"><code>++my:nl</code></a>
408408
409409### n
410410
411−<a class="tooltip" href='/docs/hoon/library/3g/#nail' title="Location, remainder of parsed text"><code>++nail</code></a>
412−<a class="tooltip" href='/docs/hoon/library/2k/#nap-to' title="Remove head of queue"><code>+-nap:to</code></a>
413−<a class="tooltip" href='/docs/hoon/library/4j/#ne' title="Digit rendering engine"><code>++ne</code></a>
414−<a class="tooltip" href='/docs/hoon/library/3b/#ned-fl' title="Require float"><code>++ned:fl</code></a>
415−<a class="tooltip" href='/docs/hoon/library/2a/#need' title="Unwrap unit"><code>++need</code></a>
416−<a class="tooltip" href='/docs/hoon/library/2c/#net-fe' title="Flip endianness"><code>++net:fe</code></a>
417−<a class="tooltip" href='/docs/hoon/library/3a/#new-si' title="Atom to @s"><code>++new:si</code></a>
418−<a class="tooltip" href='/docs/hoon/library/4f/#next' title="Consume character"><code>++next</code></a>
419−<a class="tooltip" href='/docs/hoon/library/2k/#nip-to' title="Remove root of queue"><code>+-nip:to</code></a>
420−<a class="tooltip" href='/docs/hoon/library/4i/#nix' title="Parse letters and -"><code>++nix</code></a>
421−<a class="tooltip" href='/docs/hoon/library/2m/#nl' title="Noun to container operations"><code>++nl</code></a>
422−<a class="tooltip" href='/docs/hoon/library/4o/#nock' title="Virtual machine (see Nock)"><code>++nock</code></a>
423−<a class="tooltip" href='/docs/hoon/library/2d/#not' title="Binary NOT (atom)"><code>++not</code></a>
424−<a class="tooltip" href='/docs/hoon/library/4o/#noun' title="(Undocumented)"><code>++noun</code></a>
425−<a class="tooltip" href='/docs/hoon/library/4l/#nuck-so' title="Top-level coin parser"><code>++nuck:so</code></a>
426−<a class="tooltip" href='/docs/hoon/library/4i/#nud' title="Parse numeric character"><code>++nud</code></a>
427−<a class="tooltip" href='/docs/hoon/library/4o/#null' title="(Undocumented)"><code>++null</code></a>
428−<a class="tooltip" href='/docs/hoon/library/4l/#nusk-so' title="Parse coin literal with escapes"><code>++nusk:so</code></a>
411+<a class="tooltip" href='/docs/reference/library/3g/#nail' title="Location, remainder of parsed text"><code>++nail</code></a>
412+<a class="tooltip" href='/docs/reference/library/2k/#nap-to' title="Remove head of queue"><code>+-nap:to</code></a>
413+<a class="tooltip" href='/docs/reference/library/4j/#ne' title="Digit rendering engine"><code>++ne</code></a>
414+<a class="tooltip" href='/docs/reference/library/3b/#ned-fl' title="Require float"><code>++ned:fl</code></a>
415+<a class="tooltip" href='/docs/reference/library/2a/#need' title="Unwrap unit"><code>++need</code></a>
416+<a class="tooltip" href='/docs/reference/library/2c/#net-fe' title="Flip endianness"><code>++net:fe</code></a>
417+<a class="tooltip" href='/docs/reference/library/3a/#new-si' title="Atom to @s"><code>++new:si</code></a>
418+<a class="tooltip" href='/docs/reference/library/4f/#next' title="Consume character"><code>++next</code></a>
419+<a class="tooltip" href='/docs/reference/library/2k/#nip-to' title="Remove root of queue"><code>+-nip:to</code></a>
420+<a class="tooltip" href='/docs/reference/library/4i/#nix' title="Parse letters and -"><code>++nix</code></a>
421+<a class="tooltip" href='/docs/reference/library/2m/#nl' title="Noun to container operations"><code>++nl</code></a>
422+<a class="tooltip" href='/docs/reference/library/4o/#nock' title="Virtual machine (see Nock)"><code>++nock</code></a>
423+<a class="tooltip" href='/docs/reference/library/2d/#not' title="Binary NOT (atom)"><code>++not</code></a>
424+<a class="tooltip" href='/docs/reference/library/4o/#noun' title="(Undocumented)"><code>++noun</code></a>
425+<a class="tooltip" href='/docs/reference/library/4l/#nuck-so' title="Top-level coin parser"><code>++nuck:so</code></a>
426+<a class="tooltip" href='/docs/reference/library/4i/#nud' title="Parse numeric character"><code>++nud</code></a>
427+<a class="tooltip" href='/docs/reference/library/4o/#null' title="(Undocumented)"><code>++null</code></a>
428+<a class="tooltip" href='/docs/reference/library/4l/#nusk-so' title="Parse coin literal with escapes"><code>++nusk:so</code></a>
429429
430430### o
431431
432−<a class="tooltip" href='/docs/hoon/library/3f/#ob' title="Reversible scrambling v2"><code>++ob</code></a>
433−<a class="tooltip" href='/docs/hoon/library/3d/#og' title="Container arm for SHA-256 powered RNG"><code>++og</code></a>
434−<a class="tooltip" href='/docs/hoon/library/3a/#old-si' title="Sign and absolute value"><code>++old:si</code></a>
435−<a class="tooltip" href='/docs/hoon/library/2b/#oust' title="Remove from list"><code>++oust</code></a>
436−<a class="tooltip" href='/docs/hoon/library/2c/#out-fe' title="Maximum integer value"><code>++out:fe</code></a>
432+<a class="tooltip" href='/docs/reference/library/3f/#ob' title="Reversible scrambling v2"><code>++ob</code></a>
433+<a class="tooltip" href='/docs/reference/library/3d/#og' title="Container arm for SHA-256 powered RNG"><code>++og</code></a>
434+<a class="tooltip" href='/docs/reference/library/3a/#old-si' title="Sign and absolute value"><code>++old:si</code></a>
435+<a class="tooltip" href='/docs/reference/library/2b/#oust' title="Remove from list"><code>++oust</code></a>
436+<a class="tooltip" href='/docs/reference/library/2c/#out-fe' title="Maximum integer value"><code>++out:fe</code></a>
437437
438438### p
439439
440−<a class="tooltip" href='/docs/hoon/library/3b/#pa-ff' title="Initialize fl from ff core"><code>++pa:ff</code></a>
441−<a class="tooltip" href='/docs/hoon/library/1c/#pair' title="Mold of pair of types"><code>++pair</code></a>
442−<a class="tooltip" href='/docs/hoon/library/4h/#pam' title="Parse & (pam)"><code>++pam</code></a>
443−<a class="tooltip" href='/docs/hoon/library/4h/#pat' title="Parse @ (pat)"><code>++pat</code></a>
444−<a class="tooltip" href='/docs/hoon/library/3g/#path' title="Filesystem path"><code>++path</code></a>
445−<a class="tooltip" href='/docs/hoon/library/1b/#peg' title="Address within address"><code>++peg</code></a>
446−<a class="tooltip" href='/docs/hoon/library/4h/#pel' title="Parse ( (pel)"><code>++pel</code></a>
447−<a class="tooltip" href='/docs/hoon/library/4h/#per' title="Parse ) (per)"><code>++per</code></a>
448−<a class="tooltip" href='/docs/hoon/library/4l/#perd-so' title="Parses dime/tiple without standard prefixes"><code>++perd:so</code></a>
449−<a class="tooltip" href='/docs/hoon/library/4j/#pev-ab' title="Parse <=5 in base 32"><code>++pev:ab</code></a>
450−<a class="tooltip" href='/docs/hoon/library/4j/#pew-ab' title="Parse <= 5 in base 64"><code>++pew:ab</code></a>
451−<a class="tooltip" href='/docs/hoon/library/4e/#pfix' title="Discard first rule"><code>++pfix</code></a>
452−<a class="tooltip" href='/docs/hoon/library/3g/#pint' title="Parsing range"><code>++pint</code></a>
453−<a class="tooltip" href='/docs/hoon/library/4j/#piv-ab' title="Parse 5 digits in base 32"><code>++piv:ab</code></a>
454−<a class="tooltip" href='/docs/hoon/library/4j/#piw-ab' title="Parse 5 digits in base 64"><code>++piw:ab</code></a>
455−<a class="tooltip" href='/docs/hoon/library/4e/#plug' title="Parse to tuple"><code>++plug</code></a>
456−<a class="tooltip" href='/docs/hoon/library/4f/#plus' title="List of at least one match"><code>++plus</code></a>
457−<a class="tooltip" href='/docs/hoon/library/4a/#po' title="Phonetic base"><code>++po</code></a>
458−<a class="tooltip" href='/docs/hoon/library/1c/#pole' title="Mold generator of faceless list"><code>++pole</code></a>
459−<a class="tooltip" href='/docs/hoon/library/4o/#port' title="(Undocumented)"><code>++port</code></a>
460−<a class="tooltip" href='/docs/hoon/library/4e/#pose' title="Parse options"><code>++pose</code></a>
461−<a class="tooltip" href='/docs/hoon/library/2g/#pow' title="Computes a to the power of b"><code>++pow</code></a>
462−<a class="tooltip" href='/docs/hoon/library/3b/#prc-fl' title="Force precision of 2 or greater (floating point)"><code>++prc:fl</code></a>
463−<a class="tooltip" href='/docs/hoon/library/4i/#prn' title="Parse any printable character"><code>++prn</code></a>
464−<a class="tooltip" href='/docs/hoon/library/3a/#pro-fo' title="Multiplies b and c modulo a"><code>++pro:fo</code></a>
465−<a class="tooltip" href='/docs/hoon/library/3a/#pro-si' title="Multiply to signed integer"><code>++pro:si</code></a>
466−<a class="tooltip" href='/docs/hoon/library/2i/#put-by' title="Add key-value pair (map)"><code>+-put:by</code></a>
467−<a class="tooltip" href='/docs/hoon/library/2h/#put-in' title="Put b in a (set)"><code>+-put:in</code></a>
468−<a class="tooltip" href='/docs/hoon/library/2j/#put-ju' title="Add key-set pair (jar)"><code>+-put:ju</code></a>
469−<a class="tooltip" href='/docs/hoon/library/2k/#put-to' title="Insert into queue"><code>+-put:to</code></a>
440+<a class="tooltip" href='/docs/reference/library/3b/#pa-ff' title="Initialize fl from ff core"><code>++pa:ff</code></a>
441+<a class="tooltip" href='/docs/reference/library/1c/#pair' title="Mold of pair of types"><code>++pair</code></a>
442+<a class="tooltip" href='/docs/reference/library/4h/#pam' title="Parse & (pam)"><code>++pam</code></a>
443+<a class="tooltip" href='/docs/reference/library/4h/#pat' title="Parse @ (pat)"><code>++pat</code></a>
444+<a class="tooltip" href='/docs/reference/library/3g/#path' title="Filesystem path"><code>++path</code></a>
445+<a class="tooltip" href='/docs/reference/library/1b/#peg' title="Address within address"><code>++peg</code></a>
446+<a class="tooltip" href='/docs/reference/library/4h/#pel' title="Parse ( (pel)"><code>++pel</code></a>
447+<a class="tooltip" href='/docs/reference/library/4h/#per' title="Parse ) (per)"><code>++per</code></a>
448+<a class="tooltip" href='/docs/reference/library/4l/#perd-so' title="Parses dime/tiple without standard prefixes"><code>++perd:so</code></a>
449+<a class="tooltip" href='/docs/reference/library/4j/#pev-ab' title="Parse <=5 in base 32"><code>++pev:ab</code></a>
450+<a class="tooltip" href='/docs/reference/library/4j/#pew-ab' title="Parse <= 5 in base 64"><code>++pew:ab</code></a>
451+<a class="tooltip" href='/docs/reference/library/4e/#pfix' title="Discard first rule"><code>++pfix</code></a>
452+<a class="tooltip" href='/docs/reference/library/3g/#pint' title="Parsing range"><code>++pint</code></a>
453+<a class="tooltip" href='/docs/reference/library/4j/#piv-ab' title="Parse 5 digits in base 32"><code>++piv:ab</code></a>
454+<a class="tooltip" href='/docs/reference/library/4j/#piw-ab' title="Parse 5 digits in base 64"><code>++piw:ab</code></a>
455+<a class="tooltip" href='/docs/reference/library/4e/#plug' title="Parse to tuple"><code>++plug</code></a>
456+<a class="tooltip" href='/docs/reference/library/4f/#plus' title="List of at least one match"><code>++plus</code></a>
457+<a class="tooltip" href='/docs/reference/library/4a/#po' title="Phonetic base"><code>++po</code></a>
458+<a class="tooltip" href='/docs/reference/library/1c/#pole' title="Mold generator of faceless list"><code>++pole</code></a>
459+<a class="tooltip" href='/docs/reference/library/4o/#port' title="(Undocumented)"><code>++port</code></a>
460+<a class="tooltip" href='/docs/reference/library/4e/#pose' title="Parse options"><code>++pose</code></a>
461+<a class="tooltip" href='/docs/reference/library/2g/#pow' title="Computes a to the power of b"><code>++pow</code></a>
462+<a class="tooltip" href='/docs/reference/library/3b/#prc-fl' title="Force precision of 2 or greater (floating point)"><code>++prc:fl</code></a>
463+<a class="tooltip" href='/docs/reference/library/4i/#prn' title="Parse any printable character"><code>++prn</code></a>
464+<a class="tooltip" href='/docs/reference/library/3a/#pro-fo' title="Multiplies b and c modulo a"><code>++pro:fo</code></a>
465+<a class="tooltip" href='/docs/reference/library/3a/#pro-si' title="Multiply to signed integer"><code>++pro:si</code></a>
466+<a class="tooltip" href='/docs/reference/library/2i/#put-by' title="Add key-value pair (map)"><code>+-put:by</code></a>
467+<a class="tooltip" href='/docs/reference/library/2h/#put-in' title="Put b in a (set)"><code>+-put:in</code></a>
468+<a class="tooltip" href='/docs/reference/library/2j/#put-ju' title="Add key-set pair (jar)"><code>+-put:ju</code></a>
469+<a class="tooltip" href='/docs/reference/library/2k/#put-to' title="Insert into queue"><code>+-put:to</code></a>
470470
471471### q
472472
473−<a class="tooltip" href='/docs/hoon/library/3c/#qad-yo' title="Seconds in 4 years"><code>++qad:yo</code></a>
474−<a class="tooltip" href='/docs/hoon/library/4j/#qeb-ab' title="Parse <=4 binary digits"><code>++qeb:ab</code></a>
475−<a class="tooltip" href='/docs/hoon/library/2o/#qeu' title="Mold generator (queue)"><code>++qeu</code></a>
476−<a class="tooltip" href='/docs/hoon/library/4j/#qex-ab' title="Parse <=4 hexadecimal digits"><code>++qex:ab</code></a>
477−<a class="tooltip" href='/docs/hoon/library/4j/#qib-ab' title="Parse 4 binary digits"><code>++qib:ab</code></a>
478−<a class="tooltip" href='/docs/hoon/library/4i/#qit' title="Parse character to cord atom"><code>++qit</code></a>
479−<a class="tooltip" href='/docs/hoon/library/4j/#qix-ab' title="Parse 4 hexadecimal digits"><code>++qix:ab</code></a>
480−<a class="tooltip" href='/docs/hoon/library/1c/#quip' title="Mold generator (tuple of list and type)"><code>++quip</code></a>
481−<a class="tooltip" href='/docs/hoon/library/4i/#qut' title="Parse cord"><code>++qut</code></a>
473+<a class="tooltip" href='/docs/reference/library/3c/#qad-yo' title="Seconds in 4 years"><code>++qad:yo</code></a>
474+<a class="tooltip" href='/docs/reference/library/4j/#qeb-ab' title="Parse <=4 binary digits"><code>++qeb:ab</code></a>
475+<a class="tooltip" href='/docs/reference/library/2o/#qeu' title="Mold generator (queue)"><code>++qeu</code></a>
476+<a class="tooltip" href='/docs/reference/library/4j/#qex-ab' title="Parse <=4 hexadecimal digits"><code>++qex:ab</code></a>
477+<a class="tooltip" href='/docs/reference/library/4j/#qib-ab' title="Parse 4 binary digits"><code>++qib:ab</code></a>
478+<a class="tooltip" href='/docs/reference/library/4i/#qit' title="Parse character to cord atom"><code>++qit</code></a>
479+<a class="tooltip" href='/docs/reference/library/4j/#qix-ab' title="Parse 4 hexadecimal digits"><code>++qix:ab</code></a>
480+<a class="tooltip" href='/docs/reference/library/1c/#quip' title="Mold generator (tuple of list and type)"><code>++quip</code></a>
481+<a class="tooltip" href='/docs/reference/library/4i/#qut' title="Parse cord"><code>++qut</code></a>
482482
483483### r
484484
485−<a class="tooltip" href='/docs/hoon/library/4b/#r-at' title="(Undocumented)"><code>++r:at</code></a>
486−<a class="tooltip" href='/docs/hoon/library/3d/#rad-og' title="Random in range"><code>++rad:og</code></a>
487−<a class="tooltip" href='/docs/hoon/library/3d/#rads-og' title="Random continuation"><code>++rads:og</code></a>
488−<a class="tooltip" href='/docs/hoon/library/3f/#raku-ob' title="Key list"><code>++raku:ob</code></a>
489−<a class="tooltip" href='/docs/hoon/library/4c/#ram-re' title="Flatten tank to tape"><code>++ram:re</code></a>
490−<a class="tooltip" href='/docs/hoon/library/2c/#rap' title="Assemble non-zero"><code>++rap</code></a>
491−<a class="tooltip" href='/docs/hoon/library/4g/#rash' title="Parse or crash"><code>++rash</code></a>
492−<a class="tooltip" href='/docs/hoon/library/3b/#rau-fl' title="Various roundings (floating point)"><code>++rau:fl</code></a>
493−<a class="tooltip" href='/docs/hoon/library/3d/#raw-og' title="Random bits"><code>++raw:og</code></a>
494−<a class="tooltip" href='/docs/hoon/library/3d/#raws-og' title="Random bits continuation"><code>++raws:og</code></a>
495−<a class="tooltip" href='/docs/hoon/library/4c/#re' title="Pretty-printing engine (tank)"><code>++re</code></a>
496−<a class="tooltip" href='/docs/hoon/library/4k/#rear-co' title="Prepend and render atom as tape"><code>++rear:co</code></a>
497−<a class="tooltip" href='/docs/hoon/library/2b/#reap' title="Replicate (list)"><code>++reap</code></a>
498−<a class="tooltip" href='/docs/hoon/library/2b/#reel' title="Right fold (list)"><code>++reel</code></a>
499−<a class="tooltip" href='/docs/hoon/library/3a/#rem-si' title="Remainder (signed integer)"><code>++rem:si</code></a>
500−<a class="tooltip" href='/docs/hoon/library/4k/#rend-co' title="Render coin lot as tape"><code>++rend:co</code></a>
501−<a class="tooltip" href='/docs/hoon/library/4k/#rent-co' title="Render coin lot as span"><code>++rent:co</code></a>
502−<a class="tooltip" href='/docs/hoon/library/2c/#rep' title="Assemble single"><code>++rep</code></a>
503−<a class="tooltip" href='/docs/hoon/library/2i/#rep-by' title="Replace by product (map)"><code>+-rep:by</code></a>
504−<a class="tooltip" href='/docs/hoon/library/2h/#rep-in' title="Accumulate elements (set)"><code>+-rep:in</code></a>
505−<a class="tooltip" href='/docs/hoon/library/4b/#rf-at' title="(Undocumented)"><code>++rf:at</code></a>
506−<a class="tooltip" href='/docs/hoon/library/2i/#rib-by' title="Replace values with accumulator (map)"><code>+-rib:by</code></a>
507−<a class="tooltip" href='/docs/hoon/library/4c/#rig-re' title="Wrap tape in / (tank)"><code>++rig:re</code></a>
508−<a class="tooltip" href='/docs/hoon/library/2c/#rip' title="Disassemble"><code>++rip</code></a>
509−<a class="tooltip" href='/docs/hoon/library/4b/#rn-at' title="(Undocumented)"><code>++rn:at</code></a>
510−<a class="tooltip" href='/docs/hoon/library/2c/#rol-fe' title="Roll left"><code>++rol:fe</code></a>
511−<a class="tooltip" href='/docs/hoon/library/2b/#roll' title="Left fold (list)"><code>++roll</code></a>
485+<a class="tooltip" href='/docs/reference/library/4b/#r-at' title="(Undocumented)"><code>++r:at</code></a>
486+<a class="tooltip" href='/docs/reference/library/3d/#rad-og' title="Random in range"><code>++rad:og</code></a>
487+<a class="tooltip" href='/docs/reference/library/3d/#rads-og' title="Random continuation"><code>++rads:og</code></a>
488+<a class="tooltip" href='/docs/reference/library/3f/#raku-ob' title="Key list"><code>++raku:ob</code></a>
489+<a class="tooltip" href='/docs/reference/library/4c/#ram-re' title="Flatten tank to tape"><code>++ram:re</code></a>
490+<a class="tooltip" href='/docs/reference/library/2c/#rap' title="Assemble non-zero"><code>++rap</code></a>
491+<a class="tooltip" href='/docs/reference/library/4g/#rash' title="Parse or crash"><code>++rash</code></a>
492+<a class="tooltip" href='/docs/reference/library/3b/#rau-fl' title="Various roundings (floating point)"><code>++rau:fl</code></a>
493+<a class="tooltip" href='/docs/reference/library/3d/#raw-og' title="Random bits"><code>++raw:og</code></a>
494+<a class="tooltip" href='/docs/reference/library/3d/#raws-og' title="Random bits continuation"><code>++raws:og</code></a>
495+<a class="tooltip" href='/docs/reference/library/4c/#re' title="Pretty-printing engine (tank)"><code>++re</code></a>
496+<a class="tooltip" href='/docs/reference/library/4k/#rear-co' title="Prepend and render atom as tape"><code>++rear:co</code></a>
497+<a class="tooltip" href='/docs/reference/library/2b/#reap' title="Replicate (list)"><code>++reap</code></a>
498+<a class="tooltip" href='/docs/reference/library/2b/#reel' title="Right fold (list)"><code>++reel</code></a>
499+<a class="tooltip" href='/docs/reference/library/3a/#rem-si' title="Remainder (signed integer)"><code>++rem:si</code></a>
500+<a class="tooltip" href='/docs/reference/library/4k/#rend-co' title="Render coin lot as tape"><code>++rend:co</code></a>
501+<a class="tooltip" href='/docs/reference/library/4k/#rent-co' title="Render coin lot as span"><code>++rent:co</code></a>
502+<a class="tooltip" href='/docs/reference/library/2c/#rep' title="Assemble single"><code>++rep</code></a>
503+<a class="tooltip" href='/docs/reference/library/2i/#rep-by' title="Replace by product (map)"><code>+-rep:by</code></a>
504+<a class="tooltip" href='/docs/reference/library/2h/#rep-in' title="Accumulate elements (set)"><code>+-rep:in</code></a>
505+<a class="tooltip" href='/docs/reference/library/4b/#rf-at' title="(Undocumented)"><code>++rf:at</code></a>
506+<a class="tooltip" href='/docs/reference/library/2i/#rib-by' title="Replace values with accumulator (map)"><code>+-rib:by</code></a>
507+<a class="tooltip" href='/docs/reference/library/4c/#rig-re' title="Wrap tape in / (tank)"><code>++rig:re</code></a>
508+<a class="tooltip" href='/docs/reference/library/2c/#rip' title="Disassemble"><code>++rip</code></a>
509+<a class="tooltip" href='/docs/reference/library/4b/#rn-at' title="(Undocumented)"><code>++rn:at</code></a>
510+<a class="tooltip" href='/docs/reference/library/2c/#rol-fe' title="Roll left"><code>++rol:fe</code></a>
511+<a class="tooltip" href='/docs/reference/library/2b/#roll' title="Left fold (list)"><code>++roll</code></a>
512512<code>++rood</code>
513−<a class="tooltip" href='/docs/hoon/library/2c/#ror-fe' title="Roll right"><code>++ror:fe</code></a>
514−<a class="tooltip" href='/docs/hoon/library/3b/#rou-fl' title="Round to nearest float with 113-bit significand"><code>++rou:fl</code></a>
515−<a class="tooltip" href='/docs/hoon/library/4l/#royl-so' title="Parse dime float"><code>++royl:so</code></a>
516−<a class="tooltip" href='/docs/hoon/library/4l/#royl-cell-so' title="(Undocumented)"><code>++royl-cell:so</code></a>
517−<a class="tooltip" href='/docs/hoon/library/2c/#rsh' title="Right-shift"><code>++rsh</code></a>
518−<a class="tooltip" href='/docs/hoon/library/4b/#rt-at' title="(Undocumented)"><code>++rt:at</code></a>
519−<a class="tooltip" href='/docs/hoon/library/4b/#rta-at' title="(Undocumented)"><code>++rta:at</code></a>
520−<a class="tooltip" href='/docs/hoon/library/4b/#rtam-at' title="(Undocumented)"><code>++rtam:at</code></a>
521−<a class="tooltip" href='/docs/hoon/library/2p/#rub' title="Length-decode"><code>++rub</code></a>
522−<a class="tooltip" href='/docs/hoon/library/4b/#rub-at' title="(Undocumented)"><code>++rub:at</code></a>
523−<a class="tooltip" href='/docs/hoon/library/4b/#rud-at' title="(Undocumented)"><code>++rud:at</code></a>
524−<a class="tooltip" href='/docs/hoon/library/3g/#rule' title="Parsing rule (match this with _)"><code>++rule</code></a>
525−<a class="tooltip" href='/docs/hoon/library/4b/#rum-at' title="(Undocumented)"><code>++rum:at</code></a>
526−<a class="tooltip" href='/docs/hoon/library/2i/#run-by' title="Transform values (map)"><code>+-run:by</code></a>
527−<a class="tooltip" href='/docs/hoon/library/2h/#run-in' title="Apply gate to set"><code>+-run:in</code></a>
528−<a class="tooltip" href='/docs/hoon/library/3f/#rund-ob' title="Reverse single Feistel-like"><code>++rund:ob</code></a>
529−<a class="tooltip" href='/docs/hoon/library/4b/#runt' title="Prepend n times"><code>++runt</code></a>
530−<a class="tooltip" href='/docs/hoon/library/4b/#rup-at' title="(Undocumented)"><code>++rup:at</code></a>
531−<a class="tooltip" href='/docs/hoon/library/4g/#rush' title="Parse or null"><code>++rush</code></a>
532−<a class="tooltip" href='/docs/hoon/library/4g/#rust' title="Parse tape or null"><code>++rust</code></a>
533−<a class="tooltip" href='/docs/hoon/library/2i/#rut-by' title="Transform nodes (map)"><code>+-rut:by</code></a>
534−<a class="tooltip" href='/docs/hoon/library/4b/#ruv-at' title="(Undocumented)"><code>++ruv:at</code></a>
535−<a class="tooltip" href='/docs/hoon/library/4b/#rux-at' title="(Undocumented)"><code>++rux:at</code></a>
536−<a class="tooltip" href='/docs/hoon/library/3f/#rynd-ob' title="Reverse Feistel-like cipher"><code>++rynd:ob</code></a>
513+<a class="tooltip" href='/docs/reference/library/2c/#ror-fe' title="Roll right"><code>++ror:fe</code></a>
514+<a class="tooltip" href='/docs/reference/library/3b/#rou-fl' title="Round to nearest float with 113-bit significand"><code>++rou:fl</code></a>
515+<a class="tooltip" href='/docs/reference/library/4l/#royl-so' title="Parse dime float"><code>++royl:so</code></a>
516+<a class="tooltip" href='/docs/reference/library/4l/#royl-cell-so' title="(Undocumented)"><code>++royl-cell:so</code></a>
517+<a class="tooltip" href='/docs/reference/library/2c/#rsh' title="Right-shift"><code>++rsh</code></a>
518+<a class="tooltip" href='/docs/reference/library/4b/#rt-at' title="(Undocumented)"><code>++rt:at</code></a>
519+<a class="tooltip" href='/docs/reference/library/4b/#rta-at' title="(Undocumented)"><code>++rta:at</code></a>
520+<a class="tooltip" href='/docs/reference/library/4b/#rtam-at' title="(Undocumented)"><code>++rtam:at</code></a>
521+<a class="tooltip" href='/docs/reference/library/2p/#rub' title="Length-decode"><code>++rub</code></a>
522+<a class="tooltip" href='/docs/reference/library/4b/#rub-at' title="(Undocumented)"><code>++rub:at</code></a>
523+<a class="tooltip" href='/docs/reference/library/4b/#rud-at' title="(Undocumented)"><code>++rud:at</code></a>
524+<a class="tooltip" href='/docs/reference/library/3g/#rule' title="Parsing rule (match this with _)"><code>++rule</code></a>
525+<a class="tooltip" href='/docs/reference/library/4b/#rum-at' title="(Undocumented)"><code>++rum:at</code></a>
526+<a class="tooltip" href='/docs/reference/library/2i/#run-by' title="Transform values (map)"><code>+-run:by</code></a>
527+<a class="tooltip" href='/docs/reference/library/2h/#run-in' title="Apply gate to set"><code>+-run:in</code></a>
528+<a class="tooltip" href='/docs/reference/library/3f/#rund-ob' title="Reverse single Feistel-like"><code>++rund:ob</code></a>
529+<a class="tooltip" href='/docs/reference/library/4b/#runt' title="Prepend n times"><code>++runt</code></a>
530+<a class="tooltip" href='/docs/reference/library/4b/#rup-at' title="(Undocumented)"><code>++rup:at</code></a>
531+<a class="tooltip" href='/docs/reference/library/4g/#rush' title="Parse or null"><code>++rush</code></a>
532+<a class="tooltip" href='/docs/reference/library/4g/#rust' title="Parse tape or null"><code>++rust</code></a>
533+<a class="tooltip" href='/docs/reference/library/2i/#rut-by' title="Transform nodes (map)"><code>+-rut:by</code></a>
534+<a class="tooltip" href='/docs/reference/library/4b/#ruv-at' title="(Undocumented)"><code>++ruv:at</code></a>
535+<a class="tooltip" href='/docs/reference/library/4b/#rux-at' title="(Undocumented)"><code>++rux:at</code></a>
536+<a class="tooltip" href='/docs/reference/library/3f/#rynd-ob' title="Reverse Feistel-like cipher"><code>++rynd:ob</code></a>
537537
538538### s
539539
540−<a class="tooltip" href='/docs/hoon/library/2n/#same' title="Identity (produces same value)"><code>++same</code></a>
541−<a class="tooltip" href='/docs/hoon/library/3b/#san-ff' title="Signed integer to @r"><code>++san:ff</code></a>
542−<a class="tooltip" href='/docs/hoon/library/3b/#san-fl' title="Signed integer to float"><code>++san:fl</code></a>
543−<a class="tooltip" href='/docs/hoon/library/3b/#san-rd' title="Unsigned integer to @rd"><code>++san:rd</code></a>
544−<a class="tooltip" href='/docs/hoon/library/3b/#san-rh' title="Signed integer to @rh"><code>++san:rh</code></a>
545−<a class="tooltip" href='/docs/hoon/library/3b/#san-rs' title="Signed integer to @rs"><code>++san:rs</code></a>
546−<a class="tooltip" href='/docs/hoon/library/3b/#san-rq' title="Signed integer to @rq"><code>++san:rq</code></a>
547−<a class="tooltip" href='/docs/hoon/library/4b/#sand' title="Soft-cast by odor"><code>++sand</code></a>
548−<a class="tooltip" href='/docs/hoon/library/4b/#sane' title="Check odor validity"><code>++sane</code></a>
549−<a class="tooltip" href='/docs/hoon/library/3b/#sb-ff' title="Sign bit"><code>++sb:ff</code></a>
550−<a class="tooltip" href='/docs/hoon/library/2b/#scag' title="Prefix (produce front of list)"><code>++scag</code></a>
551−<a class="tooltip" href='/docs/hoon/library/4g/#scan' title="Parse tape or crash"><code>++scan</code></a>
552−<a class="tooltip" href='/docs/hoon/library/4m/#scot' title="Render dime as cord"><code>++scot</code></a>
553−<a class="tooltip" href='/docs/hoon/library/4m/#scow' title="Render dime as tape"><code>++scow</code></a>
554−<a class="tooltip" href='/docs/hoon/library/3b/#sea-ff' title="Convert from IEEE float to fn"><code>++sea:ff</code></a>
555−<a class="tooltip" href='/docs/hoon/library/3b/#sea-rd' title="Convert from double-precision binary float to fn"><code>++sea:rd</code></a>
556−<a class="tooltip" href='/docs/hoon/library/3b/#sea-rh' title="Convert from half-precision float to fn"><code>++sea:rh</code></a>
557−<a class="tooltip" href='/docs/hoon/library/3b/#sea-rs' title="Convert from single-precision float to fn"><code>++sea:rs</code></a>
558−<a class="tooltip" href='/docs/hoon/library/3b/#sea-rq' title="Convert from quad-precision float to fn"><code>++sea:rq</code></a>
559−<a class="tooltip" href='/docs/hoon/library/4f/#sear' title="Conditional ++cook"><code>++sear</code></a>
560−<a class="tooltip" href='/docs/hoon/library/4j/#seb-ab' title="Parse 1"><code>++seb:ab</code></a>
561−<a class="tooltip" href='/docs/hoon/library/4j/#sed-ab' title="Parse non-zero decimal digit"><code>++sed:ab</code></a>
562−<a class="tooltip" href='/docs/hoon/library/4h/#sel' title="Parse [ (sel)"><code>++sel</code></a>
563−<a class="tooltip" href='/docs/hoon/library/4h/#sem' title="Parse ; (sem)"><code>++sem</code></a>
564−<a class="tooltip" href='/docs/hoon/library/4h/#ser' title="Parse ] (ser)"><code>++ser</code></a>
565−<a class="tooltip" href='/docs/hoon/library/2o/#set' title="Mold generator (set)"><code>++set</code></a>
566−<a class="tooltip" href='/docs/hoon/library/4j/#sev-ab' title="Parse non-zero base 32 digit"><code>++sev:ab</code></a>
567−<a class="tooltip" href='/docs/hoon/library/4j/#sew-ab' title="Parse non-zero base 64 digit"><code>++sew:ab</code></a>
568−<a class="tooltip" href='/docs/hoon/library/4j/#sex-ab' title="Parse nonzero hexadecimal digit"><code>++sex:ab</code></a>
569−<a class="tooltip" href='/docs/hoon/library/4e/#sfix' title="Discard second rule"><code>++sfix</code></a>
570−<a class="tooltip" href='/docs/hoon/library/3d/#shad' title="Double SHA-256"><code>++shad</code></a>
571−<a class="tooltip" href='/docs/hoon/library/3d/#shaf' title="Half SHA-256"><code>++shaf</code></a>
572−<a class="tooltip" href='/docs/hoon/library/3d/#shal' title="SHA-512 with length"><code>++shal</code></a>
573−<a class="tooltip" href='/docs/hoon/library/3d/#sham' title="128-bit noun hash"><code>++sham</code></a>
574−<a class="tooltip" href='/docs/hoon/library/3d/#shan' title="SHA-1"><code>++shan</code></a>
575−<a class="tooltip" href='/docs/hoon/library/3d/#shas' title="Salted hash"><code>++shas</code></a>
576−<a class="tooltip" href='/docs/hoon/library/3d/#shaw' title="Hash to nbits"><code>++shaw</code></a>
577−<a class="tooltip" href='/docs/hoon/library/3d/#shax' title="SHA-256"><code>++shax</code></a>
578−<a class="tooltip" href='/docs/hoon/library/3d/#shay' title="SHA-256 with length"><code>++shay</code></a>
579−<a class="tooltip" href='/docs/hoon/library/3d/#shaz' title="SHA-512"><code>++shaz</code></a>
580−<a class="tooltip" href='/docs/hoon/library/4c/#shep' title="(Undocumented)"><code>++shep</code></a>
581−<a class="tooltip" href='/docs/hoon/library/3b/#shf-fl' title="Shift power"><code>++shf:fl</code></a>
582−<a class="tooltip" href='/docs/hoon/library/4f/#shim' title="Match character within range"><code>++shim</code></a>
583−<a class="tooltip" href='/docs/hoon/library/4c/#shop' title="(Undocumented)"><code>++shop</code></a>
584−<a class="tooltip" href='/docs/hoon/library/4c/#show' title="(Undocumented)"><code>++show</code></a>
585−<a class="tooltip" href='/docs/hoon/library/3a/#si' title="Signed integer"><code>++si</code></a>
586−<a class="tooltip" href='/docs/hoon/library/2m/#si-nl' title="Construct set from null-terminated noun"><code>++si:nl</code></a>
587−<a class="tooltip" href='/docs/hoon/library/4j/#sib-ab' title="Parse binary digit"><code>++sib:ab</code></a>
588−<a class="tooltip" href='/docs/hoon/library/4j/#sid-ab' title="Parse decimal digit"><code>++sid:ab</code></a>
589−<a class="tooltip" href='/docs/hoon/library/4h/#sig' title="Parse ~ (sig)"><code>++sig</code></a>
590−<a class="tooltip" href='/docs/hoon/library/3b/#sig-ff' title="Produce sign of IEEE float"><code>++sig:ff</code></a>
591−<a class="tooltip" href='/docs/hoon/library/3b/#sig-rd' title="Produce sign of @rd"><code>++sig:rd</code></a>
592−<a class="tooltip" href='/docs/hoon/library/3b/#sig-rh' title="Produce sign of half-precision float"><code>++sig:rh</code></a>
593−<a class="tooltip" href='/docs/hoon/library/3b/#sig-rs' title="Produce sign of @rs"><code>++sig:rs</code></a>
594−<a class="tooltip" href='/docs/hoon/library/3b/#sig-rq' title="Produce sign of quad-precision float"><code>++sig:rq</code></a>
595−<a class="tooltip" href='/docs/hoon/library/2l/#silt' title="Produce set from list"><code>++silt</code></a>
596−<a class="tooltip" href='/docs/hoon/library/4e/#simu' title="First and second"><code>++simu</code></a>
597−<a class="tooltip" href='/docs/hoon/library/2c/#sit-fe' title="Enforce modulo"><code>++sit:fe</code></a>
598−<a class="tooltip" href='/docs/hoon/library/3a/#sit-fo' title="Produce remainder of b modulo a"><code>++sit:fo</code></a>
599−<a class="tooltip" href='/docs/hoon/library/4j/#siv-ab' title="Parse a base 32 digit"><code>++siv:ab</code></a>
600−<a class="tooltip" href='/docs/hoon/library/4j/#siw-ab' title="Parse a base 64 digit"><code>++siw:ab</code></a>
601−<a class="tooltip" href='/docs/hoon/library/4j/#six-ab' title="Parse a hexadecimal digit"><code>++six:ab</code></a>
602−<a class="tooltip" href='/docs/hoon/library/2b/#skid' title="Separate list into two lists from slammed elments"><code>++skid</code></a>
603−<a class="tooltip" href='/docs/hoon/library/2b/#skim' title="Produce list of elements from boolean gate"><code>++skim</code></a>
604−<a class="tooltip" href='/docs/hoon/library/2b/#skip' title="Produce list of elements failing boolean gate"><code>++skip</code></a>
605−<a class="tooltip" href='/docs/hoon/library/2b/#slag' title="Produce all elements from index in list"><code>++slag</code></a>
606−<a class="tooltip" href='/docs/hoon/library/4m/#slat' title="Curried slaw"><code>++slat</code></a>
607−<a class="tooltip" href='/docs/hoon/library/4m/#slav' title="Demand: parse cord with input odor"><code>++slav</code></a>
608−<a class="tooltip" href='/docs/hoon/library/4m/#slaw' title="Parse cord to input odor"><code>++slaw</code></a>
609−<a class="tooltip" href='/docs/hoon/library/4m/#slay' title="Parse cord to coin"><code>++slay</code></a>
610−<a class="tooltip" href='/docs/hoon/library/2n/#slog' title="Deify printf"><code>++slog</code></a>
611−<a class="tooltip" href='/docs/hoon/library/4f/#slug' title="Use gate to parse delimited list"><code>++slug</code></a>
612−<a class="tooltip" href='/docs/hoon/library/4m/#smyt' title="Render path as tank"><code>++smyt</code></a>
613−<a class="tooltip" href='/docs/hoon/library/2b/#snag' title="Produce element at specific index (list)"><code>++snag</code></a>
614−<a class="tooltip" href='/docs/hoon/library/2m/#snag-nl' title="Produce element from list at specific null-terminated noun"><code>++snag:nl</code></a>
615−<a class="tooltip" href='/docs/hoon/library/2b/#snoc' title="Append noun to list"><code>++snoc</code></a>
616−<a class="tooltip" href='/docs/hoon/library/4l/#so' title="Coin parser engine"><code>++so</code></a>
617−<a class="tooltip" href='/docs/hoon/library/2n/#soft' title="Maybe remold"><code>++soft</code></a>
618−<a class="tooltip" href='/docs/hoon/library/2a/#some' title="Wrap value in unit"><code>++some</code></a>
619−<a class="tooltip" href='/docs/hoon/library/4h/#soq' title="Parse ' (soq)"><code>++soq</code></a>
620−<a class="tooltip" href='/docs/hoon/library/2b/#sort' title="Quicksort (list)"><code>++sort</code></a>
621−<a class="tooltip" href='/docs/hoon/library/4j/#sov-ab' title="Parse base 32 letter"><code>++sov:ab</code></a>
622−<a class="tooltip" href='/docs/hoon/library/4j/#sow-ab' title="Parse base 64 letter/symbol"><code>++sow:ab</code></a>
623−<a class="tooltip" href='/docs/hoon/library/4j/#sox-ab' title="Parse hexadecimal letter"><code>++sox:ab</code></a>
624−<a class="tooltip" href='/docs/hoon/library/4i/#soz' title="Parse triple single-quote"><code>++soz</code></a>
625−<a class="tooltip" href='/docs/hoon/library/4o/#span' title="ASCII atom"><code>++span</code></a>
626−<a class="tooltip" href='/docs/hoon/library/4m/#spat' title="Render path as cord"><code>++spat</code></a>
627−<a class="tooltip" href='/docs/hoon/library/3b/#spd-fl' title="Produce smallest denormalized float"><code>++spd:fl</code></a>
628−<a class="tooltip" href='/docs/hoon/library/2b/#spin' title="Gate to list (with state)"><code>++spin</code></a>
629−<a class="tooltip" href='/docs/hoon/library/3b/#spn-fl' title="Produce smallest normal float"><code>++spn:fl</code></a>
630−<a class="tooltip" href='/docs/hoon/library/3g/#spot' title="Stack trace line"><code>++spot</code></a>
631−<a class="tooltip" href='/docs/hoon/library/4m/#spud' title="Render path as tape"><code>++spud</code></a>
632−<a class="tooltip" href='/docs/hoon/library/2b/#spun' title="Gate to list (with state)"><code>++spun</code></a>
633−<a class="tooltip" href='/docs/hoon/library/2g/#sqt' title="Compute square root with remainder"><code>++sqt</code></a>
634−<a class="tooltip" href='/docs/hoon/library/3b/#sqt-ff' title="Produce square root of IEEE float"><code>++sqt:ff</code></a>
635−<a class="tooltip" href='/docs/hoon/library/3b/#sqt-fl' title="Produce square root from signed and unsigned integer cell"><code>++sqt:fl</code></a>
636−<a class="tooltip" href='/docs/hoon/library/3b/#sqt-rd' title="Produce square root of double-precision float"><code>++sqt:rd</code></a>
637−<a class="tooltip" href='/docs/hoon/library/3b/#sqt-rh' title="Produce square root of half-precision float"><code>++sqt:rh</code></a>
638−<a class="tooltip" href='/docs/hoon/library/3b/#sqt-rs' title="Produce square root of single-precision float"><code>++sqt:rs</code></a>
639−<a class="tooltip" href='/docs/hoon/library/3b/#sqt-rq' title="Produce square root of quad-precision float"><code>++sqt:rq</code></a>
640−<a class="tooltip" href='/docs/hoon/library/4m/#stab' title="Parse cord to path"><code>++stab</code></a>
641−<a class="tooltip" href='/docs/hoon/library/4f/#stag' title="Add label"><code>++stag</code></a>
642−<a class="tooltip" href='/docs/hoon/library/4f/#star' title="Produce list of matches"><code>++star</code></a>
643−<a class="tooltip" href='/docs/hoon/library/4f/#stet' title="Add faces to range-parser pairs in list"><code>++stet</code></a>
644−<a class="tooltip" href='/docs/hoon/library/4f/#stew' title="Switch by first"><code>++stew</code></a>
645−<a class="tooltip" href='/docs/hoon/library/4f/#stir' title="Parse repeatedly"><code>++stir</code></a>
646−<a class="tooltip" href='/docs/hoon/library/4f/#stun' title="Parse several times"><code>++stun</code></a>
647−<a class="tooltip" href='/docs/hoon/library/1a/#sub' title="Subtract"><code>++sub</code></a>
648−<a class="tooltip" href='/docs/hoon/library/3b/#sub-ff' title="Subtract from IEEE float"><code>++sub:ff</code></a>
649−<a class="tooltip" href='/docs/hoon/library/3b/#sub-fl' title="Subtract from signed and unsigned integer cells"><code>++sub:fl</code></a>
650−<a class="tooltip" href='/docs/hoon/library/3b/#sub-rd' title="Subtract from double-precision float"><code>++sub:rd</code></a>
651−<a class="tooltip" href='/docs/hoon/library/3b/#sub-rh' title="Subtract from half-precision float"><code>++sub:rh</code></a>
652−<a class="tooltip" href='/docs/hoon/library/3b/#sub-rs' title="Subtract from single-precision float"><code>++sub:rs</code></a>
653−<a class="tooltip" href='/docs/hoon/library/3b/#sub-rq' title="Subtract from quad-precision float"><code>++sub:rq</code></a>
654−<a class="tooltip" href='/docs/hoon/library/2c/#sum-fe' title="Sum two numbers in modular field"><code>++sum:fe</code></a>
655−<a class="tooltip" href='/docs/hoon/library/3a/#sum-fo' title="Modular sum"><code>++sum:fo</code></a>
656−<a class="tooltip" href='/docs/hoon/library/3a/#sum-si' title="Addition (signed integer)"><code>++sum:si</code></a>
657−<a class="tooltip" href='/docs/hoon/library/3b/#sun-ff' title="Unsigned integer to IEEE float"><code>++sun:ff</code></a>
658−<a class="tooltip" href='/docs/hoon/library/3b/#sun-fl' title="Unsigned integer to float"><code>++sun:fl</code></a>
659−<a class="tooltip" href='/docs/hoon/library/3b/#sun-rd' title="Unsigned integer to double-precision float"><code>++sun:rd</code></a>
660−<a class="tooltip" href='/docs/hoon/library/3b/#sun-rh' title="Unsigned integer to half-precision float"><code>++sun:rh</code></a>
661−<a class="tooltip" href='/docs/hoon/library/3b/#sun-rs' title="Unsigned integer to single-precision float"><code>++sun:rs</code></a>
662−<a class="tooltip" href='/docs/hoon/library/3b/#sun-rq' title="Unsigned integer to quad-precision float"><code>++sun:rq</code></a>
663−<a class="tooltip" href='/docs/hoon/library/3a/#sun-si' title="@u to @s"><code>++sun:si</code></a>
664−<a class="tooltip" href='/docs/hoon/library/2b/#swag' title="Infix (list)"><code>++swag</code></a>
665−<a class="tooltip" href='/docs/hoon/library/2c/#swp' title="Reverse block order"><code>++swp</code></a>
666−<a class="tooltip" href='/docs/hoon/library/3b/#swr-fl' title="Switch rounding mode of floating point"><code>++swr:fl</code></a>
667−<a class="tooltip" href='/docs/hoon/library/2m/#sy' title="Produce set from null-terminated noun"><code>++sy</code></a>
668−<a class="tooltip" href='/docs/hoon/library/4i/#sym' title="Term"><code>++sym</code></a>
669−<a class="tooltip" href='/docs/hoon/library/3b/#syn-fl' title="Get sign"><code>++syn:fl</code></a>
670−<a class="tooltip" href='/docs/hoon/library/3a/#syn-si' title="Sign test"><code>++syn:si</code></a>
540+<a class="tooltip" href='/docs/reference/library/2n/#same' title="Identity (produces same value)"><code>++same</code></a>
541+<a class="tooltip" href='/docs/reference/library/3b/#san-ff' title="Signed integer to @r"><code>++san:ff</code></a>
542+<a class="tooltip" href='/docs/reference/library/3b/#san-fl' title="Signed integer to float"><code>++san:fl</code></a>
543+<a class="tooltip" href='/docs/reference/library/3b/#san-rd' title="Unsigned integer to @rd"><code>++san:rd</code></a>
544+<a class="tooltip" href='/docs/reference/library/3b/#san-rh' title="Signed integer to @rh"><code>++san:rh</code></a>
545+<a class="tooltip" href='/docs/reference/library/3b/#san-rs' title="Signed integer to @rs"><code>++san:rs</code></a>
546+<a class="tooltip" href='/docs/reference/library/3b/#san-rq' title="Signed integer to @rq"><code>++san:rq</code></a>
547+<a class="tooltip" href='/docs/reference/library/4b/#sand' title="Soft-cast by odor"><code>++sand</code></a>
548+<a class="tooltip" href='/docs/reference/library/4b/#sane' title="Check odor validity"><code>++sane</code></a>
549+<a class="tooltip" href='/docs/reference/library/3b/#sb-ff' title="Sign bit"><code>++sb:ff</code></a>
550+<a class="tooltip" href='/docs/reference/library/2b/#scag' title="Prefix (produce front of list)"><code>++scag</code></a>
551+<a class="tooltip" href='/docs/reference/library/4g/#scan' title="Parse tape or crash"><code>++scan</code></a>
552+<a class="tooltip" href='/docs/reference/library/4m/#scot' title="Render dime as cord"><code>++scot</code></a>
553+<a class="tooltip" href='/docs/reference/library/4m/#scow' title="Render dime as tape"><code>++scow</code></a>
554+<a class="tooltip" href='/docs/reference/library/3b/#sea-ff' title="Convert from IEEE float to fn"><code>++sea:ff</code></a>
555+<a class="tooltip" href='/docs/reference/library/3b/#sea-rd' title="Convert from double-precision binary float to fn"><code>++sea:rd</code></a>
556+<a class="tooltip" href='/docs/reference/library/3b/#sea-rh' title="Convert from half-precision float to fn"><code>++sea:rh</code></a>
557+<a class="tooltip" href='/docs/reference/library/3b/#sea-rs' title="Convert from single-precision float to fn"><code>++sea:rs</code></a>
558+<a class="tooltip" href='/docs/reference/library/3b/#sea-rq' title="Convert from quad-precision float to fn"><code>++sea:rq</code></a>
559+<a class="tooltip" href='/docs/reference/library/4f/#sear' title="Conditional ++cook"><code>++sear</code></a>
560+<a class="tooltip" href='/docs/reference/library/4j/#seb-ab' title="Parse 1"><code>++seb:ab</code></a>
561+<a class="tooltip" href='/docs/reference/library/4j/#sed-ab' title="Parse non-zero decimal digit"><code>++sed:ab</code></a>
562+<a class="tooltip" href='/docs/reference/library/4h/#sel' title="Parse [ (sel)"><code>++sel</code></a>
563+<a class="tooltip" href='/docs/reference/library/4h/#sem' title="Parse ; (sem)"><code>++sem</code></a>
564+<a class="tooltip" href='/docs/reference/library/4h/#ser' title="Parse ] (ser)"><code>++ser</code></a>
565+<a class="tooltip" href='/docs/reference/library/2o/#set' title="Mold generator (set)"><code>++set</code></a>
566+<a class="tooltip" href='/docs/reference/library/4j/#sev-ab' title="Parse non-zero base 32 digit"><code>++sev:ab</code></a>
567+<a class="tooltip" href='/docs/reference/library/4j/#sew-ab' title="Parse non-zero base 64 digit"><code>++sew:ab</code></a>
568+<a class="tooltip" href='/docs/reference/library/4j/#sex-ab' title="Parse nonzero hexadecimal digit"><code>++sex:ab</code></a>
569+<a class="tooltip" href='/docs/reference/library/4e/#sfix' title="Discard second rule"><code>++sfix</code></a>
570+<a class="tooltip" href='/docs/reference/library/3d/#shad' title="Double SHA-256"><code>++shad</code></a>
571+<a class="tooltip" href='/docs/reference/library/3d/#shaf' title="Half SHA-256"><code>++shaf</code></a>
572+<a class="tooltip" href='/docs/reference/library/3d/#shal' title="SHA-512 with length"><code>++shal</code></a>
573+<a class="tooltip" href='/docs/reference/library/3d/#sham' title="128-bit noun hash"><code>++sham</code></a>
574+<a class="tooltip" href='/docs/reference/library/3d/#shan' title="SHA-1"><code>++shan</code></a>
575+<a class="tooltip" href='/docs/reference/library/3d/#shas' title="Salted hash"><code>++shas</code></a>
576+<a class="tooltip" href='/docs/reference/library/3d/#shaw' title="Hash to nbits"><code>++shaw</code></a>
577+<a class="tooltip" href='/docs/reference/library/3d/#shax' title="SHA-256"><code>++shax</code></a>
578+<a class="tooltip" href='/docs/reference/library/3d/#shay' title="SHA-256 with length"><code>++shay</code></a>
579+<a class="tooltip" href='/docs/reference/library/3d/#shaz' title="SHA-512"><code>++shaz</code></a>
580+<a class="tooltip" href='/docs/reference/library/4c/#shep' title="(Undocumented)"><code>++shep</code></a>
581+<a class="tooltip" href='/docs/reference/library/3b/#shf-fl' title="Shift power"><code>++shf:fl</code></a>
582+<a class="tooltip" href='/docs/reference/library/4f/#shim' title="Match character within range"><code>++shim</code></a>
583+<a class="tooltip" href='/docs/reference/library/4c/#shop' title="(Undocumented)"><code>++shop</code></a>
584+<a class="tooltip" href='/docs/reference/library/4c/#show' title="(Undocumented)"><code>++show</code></a>
585+<a class="tooltip" href='/docs/reference/library/3a/#si' title="Signed integer"><code>++si</code></a>
586+<a class="tooltip" href='/docs/reference/library/2m/#si-nl' title="Construct set from null-terminated noun"><code>++si:nl</code></a>
587+<a class="tooltip" href='/docs/reference/library/4j/#sib-ab' title="Parse binary digit"><code>++sib:ab</code></a>
588+<a class="tooltip" href='/docs/reference/library/4j/#sid-ab' title="Parse decimal digit"><code>++sid:ab</code></a>
589+<a class="tooltip" href='/docs/reference/library/4h/#sig' title="Parse ~ (sig)"><code>++sig</code></a>
590+<a class="tooltip" href='/docs/reference/library/3b/#sig-ff' title="Produce sign of IEEE float"><code>++sig:ff</code></a>
591+<a class="tooltip" href='/docs/reference/library/3b/#sig-rd' title="Produce sign of @rd"><code>++sig:rd</code></a>
592+<a class="tooltip" href='/docs/reference/library/3b/#sig-rh' title="Produce sign of half-precision float"><code>++sig:rh</code></a>
593+<a class="tooltip" href='/docs/reference/library/3b/#sig-rs' title="Produce sign of @rs"><code>++sig:rs</code></a>
594+<a class="tooltip" href='/docs/reference/library/3b/#sig-rq' title="Produce sign of quad-precision float"><code>++sig:rq</code></a>
595+<a class="tooltip" href='/docs/reference/library/2l/#silt' title="Produce set from list"><code>++silt</code></a>
596+<a class="tooltip" href='/docs/reference/library/4e/#simu' title="First and second"><code>++simu</code></a>
597+<a class="tooltip" href='/docs/reference/library/2c/#sit-fe' title="Enforce modulo"><code>++sit:fe</code></a>
598+<a class="tooltip" href='/docs/reference/library/3a/#sit-fo' title="Produce remainder of b modulo a"><code>++sit:fo</code></a>
599+<a class="tooltip" href='/docs/reference/library/4j/#siv-ab' title="Parse a base 32 digit"><code>++siv:ab</code></a>
600+<a class="tooltip" href='/docs/reference/library/4j/#siw-ab' title="Parse a base 64 digit"><code>++siw:ab</code></a>
601+<a class="tooltip" href='/docs/reference/library/4j/#six-ab' title="Parse a hexadecimal digit"><code>++six:ab</code></a>
602+<a class="tooltip" href='/docs/reference/library/2b/#skid' title="Separate list into two lists from slammed elments"><code>++skid</code></a>
603+<a class="tooltip" href='/docs/reference/library/2b/#skim' title="Produce list of elements from boolean gate"><code>++skim</code></a>
604+<a class="tooltip" href='/docs/reference/library/2b/#skip' title="Produce list of elements failing boolean gate"><code>++skip</code></a>
605+<a class="tooltip" href='/docs/reference/library/2b/#slag' title="Produce all elements from index in list"><code>++slag</code></a>
606+<a class="tooltip" href='/docs/reference/library/4m/#slat' title="Curried slaw"><code>++slat</code></a>
607+<a class="tooltip" href='/docs/reference/library/4m/#slav' title="Demand: parse cord with input odor"><code>++slav</code></a>
608+<a class="tooltip" href='/docs/reference/library/4m/#slaw' title="Parse cord to input odor"><code>++slaw</code></a>
609+<a class="tooltip" href='/docs/reference/library/4m/#slay' title="Parse cord to coin"><code>++slay</code></a>
610+<a class="tooltip" href='/docs/reference/library/2n/#slog' title="Deify printf"><code>++slog</code></a>
611+<a class="tooltip" href='/docs/reference/library/4f/#slug' title="Use gate to parse delimited list"><code>++slug</code></a>
612+<a class="tooltip" href='/docs/reference/library/4m/#smyt' title="Render path as tank"><code>++smyt</code></a>
613+<a class="tooltip" href='/docs/reference/library/2b/#snag' title="Produce element at specific index (list)"><code>++snag</code></a>
614+<a class="tooltip" href='/docs/reference/library/2m/#snag-nl' title="Produce element from list at specific null-terminated noun"><code>++snag:nl</code></a>
615+<a class="tooltip" href='/docs/reference/library/2b/#snoc' title="Append noun to list"><code>++snoc</code></a>
616+<a class="tooltip" href='/docs/reference/library/4l/#so' title="Coin parser engine"><code>++so</code></a>
617+<a class="tooltip" href='/docs/reference/library/2n/#soft' title="Maybe remold"><code>++soft</code></a>
618+<a class="tooltip" href='/docs/reference/library/2a/#some' title="Wrap value in unit"><code>++some</code></a>
619+<a class="tooltip" href='/docs/reference/library/4h/#soq' title="Parse ' (soq)"><code>++soq</code></a>
620+<a class="tooltip" href='/docs/reference/library/2b/#sort' title="Quicksort (list)"><code>++sort</code></a>
621+<a class="tooltip" href='/docs/reference/library/4j/#sov-ab' title="Parse base 32 letter"><code>++sov:ab</code></a>
622+<a class="tooltip" href='/docs/reference/library/4j/#sow-ab' title="Parse base 64 letter/symbol"><code>++sow:ab</code></a>
623+<a class="tooltip" href='/docs/reference/library/4j/#sox-ab' title="Parse hexadecimal letter"><code>++sox:ab</code></a>
624+<a class="tooltip" href='/docs/reference/library/4i/#soz' title="Parse triple single-quote"><code>++soz</code></a>
625+<a class="tooltip" href='/docs/reference/library/4o/#span' title="ASCII atom"><code>++span</code></a>
626+<a class="tooltip" href='/docs/reference/library/4m/#spat' title="Render path as cord"><code>++spat</code></a>
627+<a class="tooltip" href='/docs/reference/library/3b/#spd-fl' title="Produce smallest denormalized float"><code>++spd:fl</code></a>
628+<a class="tooltip" href='/docs/reference/library/2b/#spin' title="Gate to list (with state)"><code>++spin</code></a>
629+<a class="tooltip" href='/docs/reference/library/3b/#spn-fl' title="Produce smallest normal float"><code>++spn:fl</code></a>
630+<a class="tooltip" href='/docs/reference/library/3g/#spot' title="Stack trace line"><code>++spot</code></a>
631+<a class="tooltip" href='/docs/reference/library/4m/#spud' title="Render path as tape"><code>++spud</code></a>
632+<a class="tooltip" href='/docs/reference/library/2b/#spun' title="Gate to list (with state)"><code>++spun</code></a>
633+<a class="tooltip" href='/docs/reference/library/2g/#sqt' title="Compute square root with remainder"><code>++sqt</code></a>
634+<a class="tooltip" href='/docs/reference/library/3b/#sqt-ff' title="Produce square root of IEEE float"><code>++sqt:ff</code></a>
635+<a class="tooltip" href='/docs/reference/library/3b/#sqt-fl' title="Produce square root from signed and unsigned integer cell"><code>++sqt:fl</code></a>
636+<a class="tooltip" href='/docs/reference/library/3b/#sqt-rd' title="Produce square root of double-precision float"><code>++sqt:rd</code></a>
637+<a class="tooltip" href='/docs/reference/library/3b/#sqt-rh' title="Produce square root of half-precision float"><code>++sqt:rh</code></a>
638+<a class="tooltip" href='/docs/reference/library/3b/#sqt-rs' title="Produce square root of single-precision float"><code>++sqt:rs</code></a>
639+<a class="tooltip" href='/docs/reference/library/3b/#sqt-rq' title="Produce square root of quad-precision float"><code>++sqt:rq</code></a>
640+<a class="tooltip" href='/docs/reference/library/4m/#stab' title="Parse cord to path"><code>++stab</code></a>
641+<a class="tooltip" href='/docs/reference/library/4f/#stag' title="Add label"><code>++stag</code></a>
642+<a class="tooltip" href='/docs/reference/library/4f/#star' title="Produce list of matches"><code>++star</code></a>
643+<a class="tooltip" href='/docs/reference/library/4f/#stet' title="Add faces to range-parser pairs in list"><code>++stet</code></a>
644+<a class="tooltip" href='/docs/reference/library/4f/#stew' title="Switch by first"><code>++stew</code></a>
645+<a class="tooltip" href='/docs/reference/library/4f/#stir' title="Parse repeatedly"><code>++stir</code></a>
646+<a class="tooltip" href='/docs/reference/library/4f/#stun' title="Parse several times"><code>++stun</code></a>
647+<a class="tooltip" href='/docs/reference/library/1a/#sub' title="Subtract"><code>++sub</code></a>
648+<a class="tooltip" href='/docs/reference/library/3b/#sub-ff' title="Subtract from IEEE float"><code>++sub:ff</code></a>
649+<a class="tooltip" href='/docs/reference/library/3b/#sub-fl' title="Subtract from signed and unsigned integer cells"><code>++sub:fl</code></a>
650+<a class="tooltip" href='/docs/reference/library/3b/#sub-rd' title="Subtract from double-precision float"><code>++sub:rd</code></a>
651+<a class="tooltip" href='/docs/reference/library/3b/#sub-rh' title="Subtract from half-precision float"><code>++sub:rh</code></a>
652+<a class="tooltip" href='/docs/reference/library/3b/#sub-rs' title="Subtract from single-precision float"><code>++sub:rs</code></a>
653+<a class="tooltip" href='/docs/reference/library/3b/#sub-rq' title="Subtract from quad-precision float"><code>++sub:rq</code></a>
654+<a class="tooltip" href='/docs/reference/library/2c/#sum-fe' title="Sum two numbers in modular field"><code>++sum:fe</code></a>
655+<a class="tooltip" href='/docs/reference/library/3a/#sum-fo' title="Modular sum"><code>++sum:fo</code></a>
656+<a class="tooltip" href='/docs/reference/library/3a/#sum-si' title="Addition (signed integer)"><code>++sum:si</code></a>
657+<a class="tooltip" href='/docs/reference/library/3b/#sun-ff' title="Unsigned integer to IEEE float"><code>++sun:ff</code></a>
658+<a class="tooltip" href='/docs/reference/library/3b/#sun-fl' title="Unsigned integer to float"><code>++sun:fl</code></a>
659+<a class="tooltip" href='/docs/reference/library/3b/#sun-rd' title="Unsigned integer to double-precision float"><code>++sun:rd</code></a>
660+<a class="tooltip" href='/docs/reference/library/3b/#sun-rh' title="Unsigned integer to half-precision float"><code>++sun:rh</code></a>
661+<a class="tooltip" href='/docs/reference/library/3b/#sun-rs' title="Unsigned integer to single-precision float"><code>++sun:rs</code></a>
662+<a class="tooltip" href='/docs/reference/library/3b/#sun-rq' title="Unsigned integer to quad-precision float"><code>++sun:rq</code></a>
663+<a class="tooltip" href='/docs/reference/library/3a/#sun-si' title="@u to @s"><code>++sun:si</code></a>
664+<a class="tooltip" href='/docs/reference/library/2b/#swag' title="Infix (list)"><code>++swag</code></a>
665+<a class="tooltip" href='/docs/reference/library/2c/#swp' title="Reverse block order"><code>++swp</code></a>
666+<a class="tooltip" href='/docs/reference/library/3b/#swr-fl' title="Switch rounding mode of floating point"><code>++swr:fl</code></a>
667+<a class="tooltip" href='/docs/reference/library/2m/#sy' title="Produce set from null-terminated noun"><code>++sy</code></a>
668+<a class="tooltip" href='/docs/reference/library/4i/#sym' title="Term"><code>++sym</code></a>
669+<a class="tooltip" href='/docs/reference/library/3b/#syn-fl' title="Get sign"><code>++syn:fl</code></a>
670+<a class="tooltip" href='/docs/reference/library/3a/#syn-si' title="Sign test"><code>++syn:si</code></a>
671671
672672### t
673673
674−<a class="tooltip" href='/docs/hoon/library/2n/#tail' title="Get tail of cell"><code>++tail</code></a>
675−<a class="tooltip" href='/docs/hoon/library/2k/#tap-to' title="Queue to list"><code>+-tap:to</code></a>
676−<a class="tooltip" href='/docs/hoon/library/4h/#tar' title="Parse * (tar)"><code>++tar</code></a>
677−<a class="tooltip" href='/docs/hoon/library/2q/#tang' title="Generic print structure"><code>++tang</code></a>
678−<a class="tooltip" href='/docs/hoon/library/2q/#tank' title="Pretty-printing structure"><code>++tank</code></a>
679−<a class="tooltip" href='/docs/hoon/library/2i/#tap-by' title="Listify pairs"><code>+-tap:by</code></a>
680−<a class="tooltip" href='/docs/hoon/library/2h/#tap-in' title="Flatten set into list"><code>+-tap:in</code></a>
681−<a class="tooltip" href='/docs/hoon/library/2q/#tape' title="List of characters"><code>++tape</code></a>
682−<a class="tooltip" href='/docs/hoon/library/2q/#tarp' title="Parsed time"><code>++tarp</code></a>
683−<a class="tooltip" href='/docs/hoon/library/4l/#tash-so' title="Parse signed dime"><code>++tash:so</code></a>
684−<a class="tooltip" href='/docs/hoon/library/4h/#tec' title="Parse ` (tec)"><code>++tec</code></a>
685−<a class="tooltip" href='/docs/hoon/library/4j/#ted-ab' title="Parse decimal number with <= 3 digits"><code>++ted:ab</code></a>
686−<a class="tooltip" href='/docs/hoon/library/4b/#teff' title="UTF-8 length"><code>++teff</code></a>
687−<a class="tooltip" href='/docs/hoon/library/3f/#teil-ob' title="Reverse Feistel-like cipher"><code>++teil:ob</code></a>
688−<a class="tooltip" href='/docs/hoon/library/2q/#term' title="Hoon constant"><code>++term</code></a>
689−<a class="tooltip" href='/docs/hoon/library/2n/#test' title="Test for equality"><code>++test</code></a>
690−<a class="tooltip" href='/docs/hoon/library/4j/#tid-ab' title="Parse 3 decimal digits"><code>++tid:ab</code></a>
691−<a class="tooltip" href='/docs/hoon/library/4o/#tiki' title="(Undocumented)"><code>++tiki</code></a>
692−<a class="tooltip" href='/docs/hoon/library/4j/#til-ab' title="Parse 3 lowercase letters"><code>++til:ab</code></a>
693−<a class="tooltip" href='/docs/hoon/library/4j/#tip-ab' title="Leading phonetic byte"><code>++tip:ab</code></a>
694−<a class="tooltip" href='/docs/hoon/library/4j/#tiq-ab' title="Trailing phonetic syllable"><code>++tiq:ab</code></a>
695−<a class="tooltip" href='/docs/hoon/library/4h/#tis' title="Parse = (tis)"><code>++tis</code></a>
696−<a class="tooltip" href='/docs/hoon/library/2k/#to' title="Queue operations"><code>++to</code></a>
697−<a class="tooltip" href='/docs/hoon/library/4a/#tod-po' title="Fetch suffix"><code>++tod:po</code></a>
698−<a class="tooltip" href='/docs/hoon/library/4o/#toga' title="Tree of faces"><code>++toga</code></a>
699−<a class="tooltip" href='/docs/hoon/library/3b/#toi-ff' title="Round IEEE float to nearest signed integer"><code>++toi:ff</code></a>
700−<a class="tooltip" href='/docs/hoon/library/3b/#toi-fl' title="Round float to nearest signed integer"><code>++toi:fl</code></a>
701−<a class="tooltip" href='/docs/hoon/library/3b/#toi-rd' title="Round double-precision float to nearest signed integer"><code>++toi:rd</code></a>
702−<a class="tooltip" href='/docs/hoon/library/3b/#toi-rh' title="Round half-precision float to nearest signed integer"><code>++toi:rh</code></a>
703−<a class="tooltip" href='/docs/hoon/library/3b/#toi-rs' title="Round single-precision float to nearest signed integer"><code>++toi:rs</code></a>
704−<a class="tooltip" href='/docs/hoon/library/3b/#toi-rq' title="Round quad-precision float to nearest signed integer"><code>++toi:rq</code></a>
705−<a class="tooltip" href='/docs/hoon/library/3b/#toj-fl' title="Round unsigned and signed integer to float"><code>++toj:fl</code></a>
706−<a class="tooltip" href='/docs/hoon/library/3g/#tone' title="Nock result (error report)"><code>++tone</code></a>
707−<a class="tooltip" href='/docs/hoon/library/3g/#toon' title="Nock result (stack trace)"><code>++toon</code></a>
708−<a class="tooltip" href='/docs/hoon/library/2k/#top-to' title="Produce head of queue"><code>+-top:to</code></a>
709−<a class="tooltip" href='/docs/hoon/library/4a/#tos-po' title="Fetch prefix"><code>++tos:po</code></a>
710−<a class="tooltip" href='/docs/hoon/library/3b/#tos-rh' title="Convert half-precision float to single-precision float"><code>++tos:rh</code></a>
711−<a class="tooltip" href='/docs/hoon/library/1c/#trap' title="Core with one arm $"><code>++trap</code></a>
712−<a class="tooltip" href='/docs/hoon/library/1c/#tree' title="Mold generator (tree)"><code>++tree</code></a>
713−<a class="tooltip" href='/docs/hoon/library/1c/#trel' title="Mold generator (tuple of three types)"><code>++trel</code></a>
714−<a class="tooltip" href='/docs/hoon/library/4b/#trim' title="Tape split"><code>++trim</code></a>
715−<a class="tooltip" href='/docs/hoon/library/4b/#trip' title="Cord to tape"><code>++trip</code></a>
716−<a class="tooltip" href='/docs/hoon/library/4b/#tuba' title="UTF-8 to UTF-32 tape"><code>++tuba</code></a>
717−<a class="tooltip" href='/docs/hoon/library/4b/#tufa' title="UTF-32 to UTF-8 tape"><code>++tufa</code></a>
718−<a class="tooltip" href='/docs/hoon/library/4o/#tuna' title="XML template tree"><code>++tuna</code></a>
719−<a class="tooltip" href='/docs/hoon/library/4b/#tuft' title="UTF-32 to UTF-8 text"><code>++tuft</code></a>
720−<a class="tooltip" href='/docs/hoon/library/4b/#turf' title="UTF-8 to UTF-32 cord"><code>++turf</code></a>
721−<a class="tooltip" href='/docs/hoon/library/2b/#turn' title="Gate to list"><code>++turn</code></a>
722−<a class="tooltip" href='/docs/hoon/library/4o/#tusk' title="List of expressions"><code>++tusk</code></a>
723−<a class="tooltip" href='/docs/hoon/library/4l/#twid-so' title="Parse coins without ~ prefix"><code>++twid:so</code></a>
724−<a class="tooltip" href='/docs/hoon/library/4o/#tyke' title="List of 'maybe' hoons"><code>++tyke</code></a>
725−<a class="tooltip" href='/docs/hoon/library/4o/#typo' title="Pointer for ++type"><code>++typo</code></a>
726−<a class="tooltip" href='/docs/hoon/library/4o/#tyre' title="List, term hoon"><code>++tyre</code></a>
674+<a class="tooltip" href='/docs/reference/library/2n/#tail' title="Get tail of cell"><code>++tail</code></a>
675+<a class="tooltip" href='/docs/reference/library/2k/#tap-to' title="Queue to list"><code>+-tap:to</code></a>
676+<a class="tooltip" href='/docs/reference/library/4h/#tar' title="Parse * (tar)"><code>++tar</code></a>
677+<a class="tooltip" href='/docs/reference/library/2q/#tang' title="Generic print structure"><code>++tang</code></a>
678+<a class="tooltip" href='/docs/reference/library/2q/#tank' title="Pretty-printing structure"><code>++tank</code></a>
679+<a class="tooltip" href='/docs/reference/library/2i/#tap-by' title="Listify pairs"><code>+-tap:by</code></a>
680+<a class="tooltip" href='/docs/reference/library/2h/#tap-in' title="Flatten set into list"><code>+-tap:in</code></a>
681+<a class="tooltip" href='/docs/reference/library/2q/#tape' title="List of characters"><code>++tape</code></a>
682+<a class="tooltip" href='/docs/reference/library/2q/#tarp' title="Parsed time"><code>++tarp</code></a>
683+<a class="tooltip" href='/docs/reference/library/4l/#tash-so' title="Parse signed dime"><code>++tash:so</code></a>
684+<a class="tooltip" href='/docs/reference/library/4h/#tec' title="Parse ` (tec)"><code>++tec</code></a>
685+<a class="tooltip" href='/docs/reference/library/4j/#ted-ab' title="Parse decimal number with <= 3 digits"><code>++ted:ab</code></a>
686+<a class="tooltip" href='/docs/reference/library/4b/#teff' title="UTF-8 length"><code>++teff</code></a>
687+<a class="tooltip" href='/docs/reference/library/3f/#teil-ob' title="Reverse Feistel-like cipher"><code>++teil:ob</code></a>
688+<a class="tooltip" href='/docs/reference/library/2q/#term' title="Hoon constant"><code>++term</code></a>
689+<a class="tooltip" href='/docs/reference/library/2n/#test' title="Test for equality"><code>++test</code></a>
690+<a class="tooltip" href='/docs/reference/library/4j/#tid-ab' title="Parse 3 decimal digits"><code>++tid:ab</code></a>
691+<a class="tooltip" href='/docs/reference/library/4o/#tiki' title="(Undocumented)"><code>++tiki</code></a>
692+<a class="tooltip" href='/docs/reference/library/4j/#til-ab' title="Parse 3 lowercase letters"><code>++til:ab</code></a>
693+<a class="tooltip" href='/docs/reference/library/4j/#tip-ab' title="Leading phonetic byte"><code>++tip:ab</code></a>
694+<a class="tooltip" href='/docs/reference/library/4j/#tiq-ab' title="Trailing phonetic syllable"><code>++tiq:ab</code></a>
695+<a class="tooltip" href='/docs/reference/library/4h/#tis' title="Parse = (tis)"><code>++tis</code></a>
696+<a class="tooltip" href='/docs/reference/library/2k/#to' title="Queue operations"><code>++to</code></a>
697+<a class="tooltip" href='/docs/reference/library/4a/#tod-po' title="Fetch suffix"><code>++tod:po</code></a>
698+<a class="tooltip" href='/docs/reference/library/4o/#toga' title="Tree of faces"><code>++toga</code></a>
699+<a class="tooltip" href='/docs/reference/library/3b/#toi-ff' title="Round IEEE float to nearest signed integer"><code>++toi:ff</code></a>
700+<a class="tooltip" href='/docs/reference/library/3b/#toi-fl' title="Round float to nearest signed integer"><code>++toi:fl</code></a>
701+<a class="tooltip" href='/docs/reference/library/3b/#toi-rd' title="Round double-precision float to nearest signed integer"><code>++toi:rd</code></a>
702+<a class="tooltip" href='/docs/reference/library/3b/#toi-rh' title="Round half-precision float to nearest signed integer"><code>++toi:rh</code></a>
703+<a class="tooltip" href='/docs/reference/library/3b/#toi-rs' title="Round single-precision float to nearest signed integer"><code>++toi:rs</code></a>
704+<a class="tooltip" href='/docs/reference/library/3b/#toi-rq' title="Round quad-precision float to nearest signed integer"><code>++toi:rq</code></a>
705+<a class="tooltip" href='/docs/reference/library/3b/#toj-fl' title="Round unsigned and signed integer to float"><code>++toj:fl</code></a>
706+<a class="tooltip" href='/docs/reference/library/3g/#tone' title="Nock result (error report)"><code>++tone</code></a>
707+<a class="tooltip" href='/docs/reference/library/3g/#toon' title="Nock result (stack trace)"><code>++toon</code></a>
708+<a class="tooltip" href='/docs/reference/library/2k/#top-to' title="Produce head of queue"><code>+-top:to</code></a>
709+<a class="tooltip" href='/docs/reference/library/4a/#tos-po' title="Fetch prefix"><code>++tos:po</code></a>
710+<a class="tooltip" href='/docs/reference/library/3b/#tos-rh' title="Convert half-precision float to single-precision float"><code>++tos:rh</code></a>
711+<a class="tooltip" href='/docs/reference/library/1c/#trap' title="Core with one arm $"><code>++trap</code></a>
712+<a class="tooltip" href='/docs/reference/library/1c/#tree' title="Mold generator (tree)"><code>++tree</code></a>
713+<a class="tooltip" href='/docs/reference/library/1c/#trel' title="Mold generator (tuple of three types)"><code>++trel</code></a>
714+<a class="tooltip" href='/docs/reference/library/4b/#trim' title="Tape split"><code>++trim</code></a>
715+<a class="tooltip" href='/docs/reference/library/4b/#trip' title="Cord to tape"><code>++trip</code></a>
716+<a class="tooltip" href='/docs/reference/library/4b/#tuba' title="UTF-8 to UTF-32 tape"><code>++tuba</code></a>
717+<a class="tooltip" href='/docs/reference/library/4b/#tufa' title="UTF-32 to UTF-8 tape"><code>++tufa</code></a>
718+<a class="tooltip" href='/docs/reference/library/4o/#tuna' title="XML template tree"><code>++tuna</code></a>
719+<a class="tooltip" href='/docs/reference/library/4b/#tuft' title="UTF-32 to UTF-8 text"><code>++tuft</code></a>
720+<a class="tooltip" href='/docs/reference/library/4b/#turf' title="UTF-8 to UTF-32 cord"><code>++turf</code></a>
721+<a class="tooltip" href='/docs/reference/library/2b/#turn' title="Gate to list"><code>++turn</code></a>
722+<a class="tooltip" href='/docs/reference/library/4o/#tusk' title="List of expressions"><code>++tusk</code></a>
723+<a class="tooltip" href='/docs/reference/library/4l/#twid-so' title="Parse coins without ~ prefix"><code>++twid:so</code></a>
724+<a class="tooltip" href='/docs/reference/library/4o/#tyke' title="List of 'maybe' hoons"><code>++tyke</code></a>
725+<a class="tooltip" href='/docs/reference/library/4o/#typo' title="Pointer for ++type"><code>++typo</code></a>
726+<a class="tooltip" href='/docs/reference/library/4o/#tyre' title="List, term hoon"><code>++tyre</code></a>
727727
728728### u
729729
730−<a class="tooltip" href='/docs/hoon/library/3f/#un' title="Reversible scrambling"><code>++un</code></a>
731−<a class="tooltip" href='/docs/hoon/library/2i/#uni-by' title="Union (map between keys of two lists)"><code>+-uni:by</code></a>
732−<a class="tooltip" href='/docs/hoon/library/3b/#uni-fl' title="Change representation to odd"><code>++uni:fl</code></a>
733−<a class="tooltip" href='/docs/hoon/library/2h/#uni-in' title="Union (sets)"><code>+-uni:in</code></a>
734−<a class="tooltip" href='/docs/hoon/library/1c/#unit' title="Mold generator (maybe)"><code>++unit</code></a>
735−<a class="tooltip" href='/docs/hoon/library/2i/#urn-by' title="Turn (with key) (map)"><code>+-urn:by</code></a>
736−<a class="tooltip" href='/docs/hoon/library/4j/#urs-ab' title="Parse span characters"><code>++urs:ab</code></a>
737−<a class="tooltip" href='/docs/hoon/library/4j/#urt-ab' title="Parse non-_ span"><code>++urt:ab</code></a>
730+<a class="tooltip" href='/docs/reference/library/3f/#un' title="Reversible scrambling"><code>++un</code></a>
731+<a class="tooltip" href='/docs/reference/library/2i/#uni-by' title="Union (map between keys of two lists)"><code>+-uni:by</code></a>
732+<a class="tooltip" href='/docs/reference/library/3b/#uni-fl' title="Change representation to odd"><code>++uni:fl</code></a>
733+<a class="tooltip" href='/docs/reference/library/2h/#uni-in' title="Union (sets)"><code>+-uni:in</code></a>
734+<a class="tooltip" href='/docs/reference/library/1c/#unit' title="Mold generator (maybe)"><code>++unit</code></a>
735+<a class="tooltip" href='/docs/reference/library/2i/#urn-by' title="Turn (with key) (map)"><code>+-urn:by</code></a>
736+<a class="tooltip" href='/docs/reference/library/4j/#urs-ab' title="Parse span characters"><code>++urs:ab</code></a>
737+<a class="tooltip" href='/docs/reference/library/4j/#urt-ab' title="Parse non-_ span"><code>++urt:ab</code></a>
738738
739739### v
740740
741−<a class="tooltip" href='/docs/hoon/library/4j/#v-ne' title="Render base 32"><code>++v:ne</code></a>
741+<a class="tooltip" href='/docs/reference/library/4j/#v-ne' title="Render base 32"><code>++v:ne</code></a>
742742<code>++vang</code>
743−<a class="tooltip" href='/docs/hoon/library/4o/#vase' title="Typed data"><code>++vase</code></a>
743+<a class="tooltip" href='/docs/reference/library/4o/#vase' title="Typed data"><code>++vase</code></a>
744744<code>++vast</code>
745−<a class="tooltip" href='/docs/hoon/library/4i/#ven' title="Axis syntax parser"><code>++ven</code></a>
746−<a class="tooltip" href='/docs/hoon/library/4o/#vise' title="Convert during reboot"><code>++vise</code></a>
747−<a class="tooltip" href='/docs/hoon/library/4i/#vit' title="Parse base 64 digit"><code>++vit</code></a>
748−<a class="tooltip" href='/docs/hoon/library/4j/#viz-ag' title="Parse base 32 digit with dot separators"><code>++viz:ag</code></a>
749−<a class="tooltip" href='/docs/hoon/library/2f/#vor' title="Vertical order"><code>++vor</code></a>
750−<a class="tooltip" href='/docs/hoon/library/4j/#voy-ab' title="Parse bas, soq, or bix"><code>++voy:ab</code></a>
751−<a class="tooltip" href='/docs/hoon/library/4i/#vul' title="Comments to null"><code>++vul</code></a>
752−<a class="tooltip" href='/docs/hoon/library/4j/#vum-ag' title="Parse base 32 string"><code>++vum:ag</code></a>
745+<a class="tooltip" href='/docs/reference/library/4i/#ven' title="Axis syntax parser"><code>++ven</code></a>
746+<a class="tooltip" href='/docs/reference/library/4o/#vise' title="Convert during reboot"><code>++vise</code></a>
747+<a class="tooltip" href='/docs/reference/library/4i/#vit' title="Parse base 64 digit"><code>++vit</code></a>
748+<a class="tooltip" href='/docs/reference/library/4j/#viz-ag' title="Parse base 32 digit with dot separators"><code>++viz:ag</code></a>
749+<a class="tooltip" href='/docs/reference/library/2f/#vor' title="Vertical order"><code>++vor</code></a>
750+<a class="tooltip" href='/docs/reference/library/4j/#voy-ab' title="Parse bas, soq, or bix"><code>++voy:ab</code></a>
751+<a class="tooltip" href='/docs/reference/library/4i/#vul' title="Comments to null"><code>++vul</code></a>
752+<a class="tooltip" href='/docs/reference/library/4j/#vum-ag' title="Parse base 32 string"><code>++vum:ag</code></a>
753753
754754### w
755755
756−<a class="tooltip" href='/docs/hoon/library/4j/#w-ne' title="Render base 64 digit"><code>++w:ne</code></a>
757−<a class="tooltip" href='/docs/hoon/library/4b/#wack' title="Coin format encode"><code>++wack</code></a>
758−<a class="tooltip" href='/docs/hoon/library/2q/#wain' title="List of cords"><code>++wain</code></a>
759−<a class="tooltip" href='/docs/hoon/library/2q/#wall' title="List of list of characters"><code>++wall</code></a>
760−<a class="tooltip" href='/docs/hoon/library/2b/#weld' title="Concatenate two lists"><code>++weld</code></a>
761−<a class="tooltip" href='/docs/hoon/library/2m/#weld-nl' title="Concatenate null-terminated nouns"><code>++weld:nl</code></a>
762−<a class="tooltip" href='/docs/hoon/library/2b/#welp' title="Perfect concatenate (lists)"><code>++welp</code></a>
763−<a class="tooltip" href='/docs/hoon/library/4b/#wick' title="Coin format decode"><code>++wick</code></a>
764−<a class="tooltip" href='/docs/hoon/library/4c/#wig-re' title="++win - render tape"><code>++wig:re</code></a>
765−<a class="tooltip" href='/docs/hoon/library/4c/#win-re' title="Render at indent"><code>++win:re</code></a>
766−<a class="tooltip" href='/docs/hoon/library/4o/#wing' title="Address in subject"><code>++wing</code></a>
767−<a class="tooltip" href='/docs/hoon/library/4j/#wiz-ag' title="Parse base 64 number"><code>++wiz:ag</code></a>
768−<a class="tooltip" href='/docs/hoon/library/4b/#woad' title="Unescape cord"><code>++woad</code></a>
769−<a class="tooltip" href='/docs/hoon/library/4b/#wood' title="Escape cord"><code>++wood</code></a>
770−<a class="tooltip" href='/docs/hoon/library/3g/#wonk' title="Product from edge"><code>++wonk</code></a>
771−<a class="tooltip" href='/docs/hoon/library/3f/#wred-un' title="Restore structure"><code>++wred:un</code></a>
772−<a class="tooltip" href='/docs/hoon/library/3f/#wren-un' title="Conceal structure"><code>++wren:un</code></a>
773−<a class="tooltip" href='/docs/hoon/library/4h/#wut' title="Parse ? (wut)"><code>++wut</code></a>
774−<a class="tooltip" href='/docs/hoon/library/2i/#wyt-by' title="Produce depth of tree map"><code>+-wyt:by</code></a>
775−<a class="tooltip" href='/docs/hoon/library/2h/#wyt-in' title="Produce number of elements in set"><code>+-wyt:in</code></a>
756+<a class="tooltip" href='/docs/reference/library/4j/#w-ne' title="Render base 64 digit"><code>++w:ne</code></a>
757+<a class="tooltip" href='/docs/reference/library/4b/#wack' title="Coin format encode"><code>++wack</code></a>
758+<a class="tooltip" href='/docs/reference/library/2q/#wain' title="List of cords"><code>++wain</code></a>
759+<a class="tooltip" href='/docs/reference/library/2q/#wall' title="List of list of characters"><code>++wall</code></a>
760+<a class="tooltip" href='/docs/reference/library/2b/#weld' title="Concatenate two lists"><code>++weld</code></a>
761+<a class="tooltip" href='/docs/reference/library/2m/#weld-nl' title="Concatenate null-terminated nouns"><code>++weld:nl</code></a>
762+<a class="tooltip" href='/docs/reference/library/2b/#welp' title="Perfect concatenate (lists)"><code>++welp</code></a>
763+<a class="tooltip" href='/docs/reference/library/4b/#wick' title="Coin format decode"><code>++wick</code></a>
764+<a class="tooltip" href='/docs/reference/library/4c/#wig-re' title="++win - render tape"><code>++wig:re</code></a>
765+<a class="tooltip" href='/docs/reference/library/4c/#win-re' title="Render at indent"><code>++win:re</code></a>
766+<a class="tooltip" href='/docs/reference/library/4o/#wing' title="Address in subject"><code>++wing</code></a>
767+<a class="tooltip" href='/docs/reference/library/4j/#wiz-ag' title="Parse base 64 number"><code>++wiz:ag</code></a>
768+<a class="tooltip" href='/docs/reference/library/4b/#woad' title="Unescape cord"><code>++woad</code></a>
769+<a class="tooltip" href='/docs/reference/library/4b/#wood' title="Escape cord"><code>++wood</code></a>
770+<a class="tooltip" href='/docs/reference/library/3g/#wonk' title="Product from edge"><code>++wonk</code></a>
771+<a class="tooltip" href='/docs/reference/library/3f/#wred-un' title="Restore structure"><code>++wred:un</code></a>
772+<a class="tooltip" href='/docs/reference/library/3f/#wren-un' title="Conceal structure"><code>++wren:un</code></a>
773+<a class="tooltip" href='/docs/reference/library/4h/#wut' title="Parse ? (wut)"><code>++wut</code></a>
774+<a class="tooltip" href='/docs/reference/library/2i/#wyt-by' title="Produce depth of tree map"><code>+-wyt:by</code></a>
775+<a class="tooltip" href='/docs/reference/library/2h/#wyt-in' title="Produce number of elements in set"><code>+-wyt:in</code></a>
776776
777777### x
778778
779−<a class="tooltip" href='/docs/hoon/library/4j/#x-ne' title="Render hexadecimal digit as atom of ASCII byte value"><code>++x:ne</code></a>
780−<a class="tooltip" href='/docs/hoon/library/2c/#xeb' title="Binary logarithm"><code>++xeb</code></a>
781−<a class="tooltip" href='/docs/hoon/library/3b/#xpd-fl' title="Expand signed and unsigned integer cell"><code>++xpd:fl</code></a>
779+<a class="tooltip" href='/docs/reference/library/4j/#x-ne' title="Render hexadecimal digit as atom of ASCII byte value"><code>++x:ne</code></a>
780+<a class="tooltip" href='/docs/reference/library/2c/#xeb' title="Binary logarithm"><code>++xeb</code></a>
781+<a class="tooltip" href='/docs/reference/library/3b/#xpd-fl' title="Expand signed and unsigned integer cell"><code>++xpd:fl</code></a>
782782
783783### y
784784
785−<a class="tooltip" href='/docs/hoon/library/3c/#yall' title="Time since beginning of time"><code>++yall</code></a>
786−<a class="tooltip" href='/docs/hoon/library/3c/#yawn' title="Days since beginning of time"><code>++yawn</code></a>
787−<a class="tooltip" href='/docs/hoon/library/3c/#year' title="Date to @d"><code>++year</code></a>
788−<a class="tooltip" href='/docs/hoon/library/3c/#yell' title="Tarp from atomic date"><code>++yell</code></a>
789−<a class="tooltip" href='/docs/hoon/library/3c/#yelp' title="Determine if leap-week"><code>++yelp</code></a>
790−<a class="tooltip" href='/docs/hoon/library/3c/#yer-yo' title="Seconds in year"><code>++yer:yo</code></a>
791−<a class="tooltip" href='/docs/hoon/library/3c/#yo' title="Time constants core"><code>++yo</code></a>
792−<a class="tooltip" href='/docs/hoon/library/3c/#yore' title="Date from atomic date"><code>++yore</code></a>
793−<a class="tooltip" href='/docs/hoon/library/3c/#yule' title="Daily time to time atom"><code>++yule</code></a>
785+<a class="tooltip" href='/docs/reference/library/3c/#yall' title="Time since beginning of time"><code>++yall</code></a>
786+<a class="tooltip" href='/docs/reference/library/3c/#yawn' title="Days since beginning of time"><code>++yawn</code></a>
787+<a class="tooltip" href='/docs/reference/library/3c/#year' title="Date to @d"><code>++year</code></a>
788+<a class="tooltip" href='/docs/reference/library/3c/#yell' title="Tarp from atomic date"><code>++yell</code></a>
789+<a class="tooltip" href='/docs/reference/library/3c/#yelp' title="Determine if leap-week"><code>++yelp</code></a>
790+<a class="tooltip" href='/docs/reference/library/3c/#yer-yo' title="Seconds in year"><code>++yer:yo</code></a>
791+<a class="tooltip" href='/docs/reference/library/3c/#yo' title="Time constants core"><code>++yo</code></a>
792+<a class="tooltip" href='/docs/reference/library/3c/#yore' title="Date from atomic date"><code>++yore</code></a>
793+<a class="tooltip" href='/docs/reference/library/3c/#yule' title="Daily time to time atom"><code>++yule</code></a>
794794
795795### z
796796
797−<a class="tooltip" href='/docs/hoon/library/3f/#zaft-un' title="Look up in 255 sub box"><code>++zaft:un</code></a>
798−<a class="tooltip" href='/docs/hoon/library/4j/#zag-mu' title="Add bottom into top"><code>++zag:mu</code></a>
799−<a class="tooltip" href='/docs/hoon/library/4h/#zap' title="Parse ! (zap)"><code>++zap</code></a>
800−<a class="tooltip" href='/docs/hoon/library/3f/#zart-un' title="Reverse look up in 255 sub box"><code>++zart:un</code></a>
801−<a class="tooltip" href='/docs/hoon/library/3b/#zer-fl' title="Produce zero as float"><code>++zer:fl</code></a>
802−<a class="tooltip" href='/docs/hoon/library/4j/#zig-mu' title="Subtract bottom from top"><code>++zig:mu</code></a>
803−<a class="tooltip" href='/docs/hoon/library/2b/#zing' title="Turn lists into single list by promoting elements from sublists"><code>++zing</code></a>
804−<a class="tooltip" href='/docs/hoon/library/4j/#zug-mu' title="Concatenate into atom"><code>++zug:mu</code></a>
805−<a class="tooltip" href='/docs/hoon/library/4l/#zust-so' title="Parse prefixed dimes from IP, loobean, or floating point"><code>++zust:so</code></a>
806−<a class="tooltip" href='/docs/hoon/library/3f/#zyft-un' title="Lookup byte in 256 sub box"><code>++zyft:un</code></a>
807−<a class="tooltip" href='/docs/hoon/library/3f/#zyrt-un' title="Reverse lookup byte in 256 sub box"><code>++zyrt:un</code></a>
797+<a class="tooltip" href='/docs/reference/library/3f/#zaft-un' title="Look up in 255 sub box"><code>++zaft:un</code></a>
798+<a class="tooltip" href='/docs/reference/library/4j/#zag-mu' title="Add bottom into top"><code>++zag:mu</code></a>
799+<a class="tooltip" href='/docs/reference/library/4h/#zap' title="Parse ! (zap)"><code>++zap</code></a>
800+<a class="tooltip" href='/docs/reference/library/3f/#zart-un' title="Reverse look up in 255 sub box"><code>++zart:un</code></a>
801+<a class="tooltip" href='/docs/reference/library/3b/#zer-fl' title="Produce zero as float"><code>++zer:fl</code></a>
802+<a class="tooltip" href='/docs/reference/library/4j/#zig-mu' title="Subtract bottom from top"><code>++zig:mu</code></a>
803+<a class="tooltip" href='/docs/reference/library/2b/#zing' title="Turn lists into single list by promoting elements from sublists"><code>++zing</code></a>
804+<a class="tooltip" href='/docs/reference/library/4j/#zug-mu' title="Concatenate into atom"><code>++zug:mu</code></a>
805+<a class="tooltip" href='/docs/reference/library/4l/#zust-so' title="Parse prefixed dimes from IP, loobean, or floating point"><code>++zust:so</code></a>
806+<a class="tooltip" href='/docs/reference/library/3f/#zyft-un' title="Lookup byte in 256 sub box"><code>++zyft:un</code></a>
807+<a class="tooltip" href='/docs/reference/library/3f/#zyrt-un' title="Reverse lookup byte in 256 sub box"><code>++zyrt:un</code></a>
808808
809809## By Section
810810
811811### 1a: basic arithmetic
812812
813−<a class="tooltip" href='/docs/hoon/library/1a/#add' title="Add"><code>++add</code></a>
814−<a class="tooltip" href='/docs/hoon/library/1a/#dec' title="Decrement"><code>++dec</code></a>
815−<a class="tooltip" href='/docs/hoon/library/1a/#div' title="Divide"><code>++div</code></a>
816−<a class="tooltip" href='/docs/hoon/library/1a/#dvr' title="Divide (with remainder)"><code>++dvr</code></a>
817−<a class="tooltip" href='/docs/hoon/library/1a/#gte' title="Greater than / equal"><code>++gte</code></a>
818−<a class="tooltip" href='/docs/hoon/library/1a/#gth' title="Greater than"><code>++gth</code></a>
819−<a class="tooltip" href='/docs/hoon/library/1a/#lte' title="Less than / equal (atom)"><code>++lte</code></a>
820−<a class="tooltip" href='/docs/hoon/library/1a/#lth' title="Less than (atom)"><code>++lth</code></a>
821−<a class="tooltip" href='/docs/hoon/library/1a/#max' title="Maximum"><code>++max</code></a>
822−<a class="tooltip" href='/docs/hoon/library/1a/#min' title="Minimum (atom)"><code>++min</code></a>
823−<a class="tooltip" href='/docs/hoon/library/1a/#mod' title="Modulus (atom)"><code>++mod</code></a>
824−<a class="tooltip" href='/docs/hoon/library/1a/#mul' title="Multiply (atom)"><code>++mul</code></a>
825−<a class="tooltip" href='/docs/hoon/library/1a/#sub' title="Subtract"><code>++sub</code></a>
813+<a class="tooltip" href='/docs/reference/library/1a/#add' title="Add"><code>++add</code></a>
814+<a class="tooltip" href='/docs/reference/library/1a/#dec' title="Decrement"><code>++dec</code></a>
815+<a class="tooltip" href='/docs/reference/library/1a/#div' title="Divide"><code>++div</code></a>
816+<a class="tooltip" href='/docs/reference/library/1a/#dvr' title="Divide (with remainder)"><code>++dvr</code></a>
817+<a class="tooltip" href='/docs/reference/library/1a/#gte' title="Greater than / equal"><code>++gte</code></a>
818+<a class="tooltip" href='/docs/reference/library/1a/#gth' title="Greater than"><code>++gth</code></a>
819+<a class="tooltip" href='/docs/reference/library/1a/#lte' title="Less than / equal (atom)"><code>++lte</code></a>
820+<a class="tooltip" href='/docs/reference/library/1a/#lth' title="Less than (atom)"><code>++lth</code></a>
821+<a class="tooltip" href='/docs/reference/library/1a/#max' title="Maximum"><code>++max</code></a>
822+<a class="tooltip" href='/docs/reference/library/1a/#min' title="Minimum (atom)"><code>++min</code></a>
823+<a class="tooltip" href='/docs/reference/library/1a/#mod' title="Modulus (atom)"><code>++mod</code></a>
824+<a class="tooltip" href='/docs/reference/library/1a/#mul' title="Multiply (atom)"><code>++mul</code></a>
825+<a class="tooltip" href='/docs/reference/library/1a/#sub' title="Subtract"><code>++sub</code></a>
826826
827827### 1b: tree addressing
828828
829−<a class="tooltip" href='/docs/hoon/library/1b/#cap' title="Tree head"><code>++cap</code></a>
830−<a class="tooltip" href='/docs/hoon/library/1b/#mas' title="Address within head/tail"><code>++mas</code></a>
831−<a class="tooltip" href='/docs/hoon/library/1b/#peg' title="Address within address"><code>++peg</code></a>
829+<a class="tooltip" href='/docs/reference/library/1b/#cap' title="Tree head"><code>++cap</code></a>
830+<a class="tooltip" href='/docs/reference/library/1b/#mas' title="Address within head/tail"><code>++mas</code></a>
831+<a class="tooltip" href='/docs/reference/library/1b/#peg' title="Address within address"><code>++peg</code></a>
832832
833833### 1c: molds and mold builders
834834
835−<a class="tooltip" href='/docs/hoon/library/1c/#bloq' title="Blocksize"><code>++bloq</code></a>
836−<a class="tooltip" href='/docs/hoon/library/1c/#each' title="Mold of fork between two types"><code>++each</code></a>
837−<a class="tooltip" href='/docs/hoon/library/1c/#gate' title="Function"><code>++gate</code></a>
838−<a class="tooltip" href='/docs/hoon/library/1c/#list' title="Mold constructor (list)"><code>++list</code></a>
839−<a class="tooltip" href='/docs/hoon/library/1c/#lone' title="Mold generator (face on mold)"><code>++lone</code></a>
840−<a class="tooltip" href='/docs/hoon/library/1c/#pair' title="Mold of pair of types"><code>++pair</code></a>
841−<a class="tooltip" href='/docs/hoon/library/1c/#pole' title="Mold generator of faceless list"><code>++pole</code></a>
842−<a class="tooltip" href='/docs/hoon/library/1c/#quip' title="Mold generator (tuple of list and type)"><code>++quip</code></a>
843−<a class="tooltip" href='/docs/hoon/library/1c/#trap' title="Core with one arm $"><code>++trap</code></a>
844−<a class="tooltip" href='/docs/hoon/library/1c/#tree' title="Mold generator (tree)"><code>++tree</code></a>
845−<a class="tooltip" href='/docs/hoon/library/1c/#trel' title="Mold generator (tuple of three types)"><code>++trel</code></a>
846−<a class="tooltip" href='/docs/hoon/library/1c/#unit' title="Mold generator (maybe)"><code>++unit</code></a>
835+<a class="tooltip" href='/docs/reference/library/1c/#bloq' title="Blocksize"><code>++bloq</code></a>
836+<a class="tooltip" href='/docs/reference/library/1c/#each' title="Mold of fork between two types"><code>++each</code></a>
837+<a class="tooltip" href='/docs/reference/library/1c/#gate' title="Function"><code>++gate</code></a>
838+<a class="tooltip" href='/docs/reference/library/1c/#list' title="Mold constructor (list)"><code>++list</code></a>
839+<a class="tooltip" href='/docs/reference/library/1c/#lone' title="Mold generator (face on mold)"><code>++lone</code></a>
840+<a class="tooltip" href='/docs/reference/library/1c/#pair' title="Mold of pair of types"><code>++pair</code></a>
841+<a class="tooltip" href='/docs/reference/library/1c/#pole' title="Mold generator of faceless list"><code>++pole</code></a>
842+<a class="tooltip" href='/docs/reference/library/1c/#quip' title="Mold generator (tuple of list and type)"><code>++quip</code></a>
843+<a class="tooltip" href='/docs/reference/library/1c/#trap' title="Core with one arm $"><code>++trap</code></a>
844+<a class="tooltip" href='/docs/reference/library/1c/#tree' title="Mold generator (tree)"><code>++tree</code></a>
845+<a class="tooltip" href='/docs/reference/library/1c/#trel' title="Mold generator (tuple of three types)"><code>++trel</code></a>
846+<a class="tooltip" href='/docs/reference/library/1c/#unit' title="Mold generator (maybe)"><code>++unit</code></a>
847847
848848### 2a: unit logic
849849
850−<a class="tooltip" href='/docs/hoon/library/2a/#biff' title="Unit as argument"><code>++biff</code></a>
851−<a class="tooltip" href='/docs/hoon/library/2a/#bind' title="Non-unit function to unit, producing unit"><code>++bind</code></a>
852−<a class="tooltip" href='/docs/hoon/library/2a/#bond' title="Replace null"><code>++bond</code></a>
853−<a class="tooltip" href='/docs/hoon/library/2a/#both' title="Group unit values into pair"><code>++both</code></a>
854−<a class="tooltip" href='/docs/hoon/library/2a/#clap' title="Apply function to two units"><code>++clap</code></a>
855−<a class="tooltip" href='/docs/hoon/library/2a/#drop' title="Unit to list"><code>++drop</code></a>
856−<a class="tooltip" href='/docs/hoon/library/2a/#fall' title="Give unit a default value"><code>++fall</code></a>
857−<a class="tooltip" href='/docs/hoon/library/2a/#lift' title="Curried bind"><code>++lift</code></a>
858−<a class="tooltip" href='/docs/hoon/library/2a/#mate' title="Choose"><code>++mate</code></a>
859−<a class="tooltip" href='/docs/hoon/library/2a/#need' title="Unwrap unit"><code>++need</code></a>
860−<a class="tooltip" href='/docs/hoon/library/2a/#some' title="Wrap value in unit"><code>++some</code></a>
850+<a class="tooltip" href='/docs/reference/library/2a/#biff' title="Unit as argument"><code>++biff</code></a>
851+<a class="tooltip" href='/docs/reference/library/2a/#bind' title="Non-unit function to unit, producing unit"><code>++bind</code></a>
852+<a class="tooltip" href='/docs/reference/library/2a/#bond' title="Replace null"><code>++bond</code></a>
853+<a class="tooltip" href='/docs/reference/library/2a/#both' title="Group unit values into pair"><code>++both</code></a>
854+<a class="tooltip" href='/docs/reference/library/2a/#clap' title="Apply function to two units"><code>++clap</code></a>
855+<a class="tooltip" href='/docs/reference/library/2a/#drop' title="Unit to list"><code>++drop</code></a>
856+<a class="tooltip" href='/docs/reference/library/2a/#fall' title="Give unit a default value"><code>++fall</code></a>
857+<a class="tooltip" href='/docs/reference/library/2a/#lift' title="Curried bind"><code>++lift</code></a>
858+<a class="tooltip" href='/docs/reference/library/2a/#mate' title="Choose"><code>++mate</code></a>
859+<a class="tooltip" href='/docs/reference/library/2a/#need' title="Unwrap unit"><code>++need</code></a>
860+<a class="tooltip" href='/docs/reference/library/2a/#some' title="Wrap value in unit"><code>++some</code></a>
861861
862862### 2b: list logic
863863
864−<a class="tooltip" href='/docs/hoon/library/2b/#fand' title="All indices in list"><code>++fand</code></a>
865−<a class="tooltip" href='/docs/hoon/library/2b/#find' title="First index in list"><code>++find</code></a>
866−<a class="tooltip" href='/docs/hoon/library/2b/#flop' title="Reverse list"><code>++flop</code></a>
867−<a class="tooltip" href='/docs/hoon/library/2b/#gulf' title="List from range"><code>++gulf</code></a>
868−<a class="tooltip" href='/docs/hoon/library/2b/#homo' title="Homogenize list"><code>++homo</code></a>
869−<a class="tooltip" href='/docs/hoon/library/2b/#join' title="Add separator between list elements"><code>++join</code></a>
870−<a class="tooltip" href='/docs/hoon/library/2b/#lent' title="List length"><code>++lent</code></a>
871−<a class="tooltip" href='/docs/hoon/library/2b/#levy' title="Logical AND on list"><code>++levy</code></a>
872−<a class="tooltip" href='/docs/hoon/library/2b/#lien' title="Logical OR on list"><code>++lien</code></a>
873−<a class="tooltip" href='/docs/hoon/library/2b/#limo' title="Construct list from null-terminated tuple"><code>++limo</code></a>
874−<a class="tooltip" href='/docs/hoon/library/2b/#murn' title="Maybe transform"><code>++murn</code></a>
875−<a class="tooltip" href='/docs/hoon/library/2b/#oust' title="Remove from list"><code>++oust</code></a>
876−<a class="tooltip" href='/docs/hoon/library/2b/#reap' title="Replicate (list)"><code>++reap</code></a>
877−<a class="tooltip" href='/docs/hoon/library/2b/#reel' title="Right fold (list)"><code>++reel</code></a>
878−<a class="tooltip" href='/docs/hoon/library/2b/#roll' title="Left fold (list)"><code>++roll</code></a>
879−<a class="tooltip" href='/docs/hoon/library/2b/#scag' title="Prefix (produce front of list)"><code>++scag</code></a>
880−<a class="tooltip" href='/docs/hoon/library/2b/#skid' title="Separate list into two lists from slammed elments"><code>++skid</code></a>
881−<a class="tooltip" href='/docs/hoon/library/2b/#skim' title="Produce list of elements from boolean gate"><code>++skim</code></a>
882−<a class="tooltip" href='/docs/hoon/library/2b/#skip' title="Produce list of elements failing boolean gate"><code>++skip</code></a>
883−<a class="tooltip" href='/docs/hoon/library/2b/#slag' title="Produce all elements from index in list"><code>++slag</code></a>
884−<a class="tooltip" href='/docs/hoon/library/2b/#snag' title="Produce element at specific index (list)"><code>++snag</code></a>
885−<a class="tooltip" href='/docs/hoon/library/2b/#snoc' title="Append noun to list"><code>++snoc</code></a>
886−<a class="tooltip" href='/docs/hoon/library/2b/#sort' title="Quicksort (list)"><code>++sort</code></a>
887−<a class="tooltip" href='/docs/hoon/library/2b/#spin' title="Gate to list (with state)"><code>++spin</code></a>
888−<a class="tooltip" href='/docs/hoon/library/2b/#spun' title="Gate to list (with state)"><code>++spun</code></a>
889−<a class="tooltip" href='/docs/hoon/library/2b/#swag' title="Infix (list)"><code>++swag</code></a>
890−<a class="tooltip" href='/docs/hoon/library/2b/#turn' title="Gate to list"><code>++turn</code></a>
891−<a class="tooltip" href='/docs/hoon/library/2b/#weld' title="Concatenate two lists"><code>++weld</code></a>
892−<a class="tooltip" href='/docs/hoon/library/2b/#welp' title="Perfect concatenate (lists)"><code>++welp</code></a>
893−<a class="tooltip" href='/docs/hoon/library/2b/#zing' title="Turn lists into single list by promoting elements from sublists"><code>++zing</code></a>
864+<a class="tooltip" href='/docs/reference/library/2b/#fand' title="All indices in list"><code>++fand</code></a>
865+<a class="tooltip" href='/docs/reference/library/2b/#find' title="First index in list"><code>++find</code></a>
866+<a class="tooltip" href='/docs/reference/library/2b/#flop' title="Reverse list"><code>++flop</code></a>
867+<a class="tooltip" href='/docs/reference/library/2b/#gulf' title="List from range"><code>++gulf</code></a>
868+<a class="tooltip" href='/docs/reference/library/2b/#homo' title="Homogenize list"><code>++homo</code></a>
869+<a class="tooltip" href='/docs/reference/library/2b/#join' title="Add separator between list elements"><code>++join</code></a>
870+<a class="tooltip" href='/docs/reference/library/2b/#lent' title="List length"><code>++lent</code></a>
871+<a class="tooltip" href='/docs/reference/library/2b/#levy' title="Logical AND on list"><code>++levy</code></a>
872+<a class="tooltip" href='/docs/reference/library/2b/#lien' title="Logical OR on list"><code>++lien</code></a>
873+<a class="tooltip" href='/docs/reference/library/2b/#limo' title="Construct list from null-terminated tuple"><code>++limo</code></a>
874+<a class="tooltip" href='/docs/reference/library/2b/#murn' title="Maybe transform"><code>++murn</code></a>
875+<a class="tooltip" href='/docs/reference/library/2b/#oust' title="Remove from list"><code>++oust</code></a>
876+<a class="tooltip" href='/docs/reference/library/2b/#reap' title="Replicate (list)"><code>++reap</code></a>
877+<a class="tooltip" href='/docs/reference/library/2b/#reel' title="Right fold (list)"><code>++reel</code></a>
878+<a class="tooltip" href='/docs/reference/library/2b/#roll' title="Left fold (list)"><code>++roll</code></a>
879+<a class="tooltip" href='/docs/reference/library/2b/#scag' title="Prefix (produce front of list)"><code>++scag</code></a>
880+<a class="tooltip" href='/docs/reference/library/2b/#skid' title="Separate list into two lists from slammed elments"><code>++skid</code></a>
881+<a class="tooltip" href='/docs/reference/library/2b/#skim' title="Produce list of elements from boolean gate"><code>++skim</code></a>
882+<a class="tooltip" href='/docs/reference/library/2b/#skip' title="Produce list of elements failing boolean gate"><code>++skip</code></a>
883+<a class="tooltip" href='/docs/reference/library/2b/#slag' title="Produce all elements from index in list"><code>++slag</code></a>
884+<a class="tooltip" href='/docs/reference/library/2b/#snag' title="Produce element at specific index (list)"><code>++snag</code></a>
885+<a class="tooltip" href='/docs/reference/library/2b/#snoc' title="Append noun to list"><code>++snoc</code></a>
886+<a class="tooltip" href='/docs/reference/library/2b/#sort' title="Quicksort (list)"><code>++sort</code></a>
887+<a class="tooltip" href='/docs/reference/library/2b/#spin' title="Gate to list (with state)"><code>++spin</code></a>
888+<a class="tooltip" href='/docs/reference/library/2b/#spun' title="Gate to list (with state)"><code>++spun</code></a>
889+<a class="tooltip" href='/docs/reference/library/2b/#swag' title="Infix (list)"><code>++swag</code></a>
890+<a class="tooltip" href='/docs/reference/library/2b/#turn' title="Gate to list"><code>++turn</code></a>
891+<a class="tooltip" href='/docs/reference/library/2b/#weld' title="Concatenate two lists"><code>++weld</code></a>
892+<a class="tooltip" href='/docs/reference/library/2b/#welp' title="Perfect concatenate (lists)"><code>++welp</code></a>
893+<a class="tooltip" href='/docs/reference/library/2b/#zing' title="Turn lists into single list by promoting elements from sublists"><code>++zing</code></a>
894894
895895### 2c: bit arithmetic
896896
897−<a class="tooltip" href='/docs/hoon/library/2c/#fe' title="Modulo bloq"><code>++fe</code></a>
898−<a class="tooltip" href='/docs/hoon/library/2c/#dif-fe' title="Difference between atoms (modular basis)"><code>++dif:fe</code></a>
899−<a class="tooltip" href='/docs/hoon/library/2c/#inv-fe' title="Inverse order of modular field"><code>++inv:fe</code></a>
900−<a class="tooltip" href='/docs/hoon/library/2c/#net-fe' title="Flip endianness"><code>++net:fe</code></a>
901−<a class="tooltip" href='/docs/hoon/library/2c/#out-fe' title="Maximum integer value"><code>++out:fe</code></a>
902−<a class="tooltip" href='/docs/hoon/library/2c/#rol-fe' title="Roll left"><code>++rol:fe</code></a>
903−<a class="tooltip" href='/docs/hoon/library/2c/#ror-fe' title="Roll right"><code>++ror:fe</code></a>
904−<a class="tooltip" href='/docs/hoon/library/2c/#sit-fe' title="Enforce modulo"><code>++sit:fe</code></a>
905−<a class="tooltip" href='/docs/hoon/library/2c/#sum-fe' title="Sum two numbers in modular field"><code>++sum:fe</code></a>
906−
907−<a class="tooltip" href='/docs/hoon/library/2c/#bex' title="Binary exponent"><code>++bex</code></a>
908−<a class="tooltip" href='/docs/hoon/library/2c/#can' title="Assemble"><code>++can</code></a>
909−<a class="tooltip" href='/docs/hoon/library/2c/#cat' title="Concatenate"><code>++cat</code></a>
910−<a class="tooltip" href='/docs/hoon/library/2c/#cut' title="Slice"><code>++cut</code></a>
911−<a class="tooltip" href='/docs/hoon/library/2c/#end' title="Tail"><code>++end</code></a>
912−<a class="tooltip" href='/docs/hoon/library/2c/#fil' title="Fill bloqstream"><code>++fil</code></a>
913−<a class="tooltip" href='/docs/hoon/library/2c/#lsh' title="Left-shift"><code>++lsh</code></a>
914−<a class="tooltip" href='/docs/hoon/library/2c/#met' title="Measure"><code>++met</code></a>
915−<a class="tooltip" href='/docs/hoon/library/2c/#rap' title="Assemble non-zero"><code>++rap</code></a>
916−<a class="tooltip" href='/docs/hoon/library/2c/#rep' title="Assemble single"><code>++rep</code></a>
917−<a class="tooltip" href='/docs/hoon/library/2c/#rip' title="Disassemble"><code>++rip</code></a>
918−<a class="tooltip" href='/docs/hoon/library/2c/#rsh' title="Right-shift"><code>++rsh</code></a>
919−<a class="tooltip" href='/docs/hoon/library/2c/#swp' title="Reverse block order"><code>++swp</code></a>
920−<a class="tooltip" href='/docs/hoon/library/2c/#xeb' title="Binary logarithm"><code>++xeb</code></a>
897+<a class="tooltip" href='/docs/reference/library/2c/#fe' title="Modulo bloq"><code>++fe</code></a>
898+<a class="tooltip" href='/docs/reference/library/2c/#dif-fe' title="Difference between atoms (modular basis)"><code>++dif:fe</code></a>
899+<a class="tooltip" href='/docs/reference/library/2c/#inv-fe' title="Inverse order of modular field"><code>++inv:fe</code></a>
900+<a class="tooltip" href='/docs/reference/library/2c/#net-fe' title="Flip endianness"><code>++net:fe</code></a>
901+<a class="tooltip" href='/docs/reference/library/2c/#out-fe' title="Maximum integer value"><code>++out:fe</code></a>
902+<a class="tooltip" href='/docs/reference/library/2c/#rol-fe' title="Roll left"><code>++rol:fe</code></a>
903+<a class="tooltip" href='/docs/reference/library/2c/#ror-fe' title="Roll right"><code>++ror:fe</code></a>
904+<a class="tooltip" href='/docs/reference/library/2c/#sit-fe' title="Enforce modulo"><code>++sit:fe</code></a>
905+<a class="tooltip" href='/docs/reference/library/2c/#sum-fe' title="Sum two numbers in modular field"><code>++sum:fe</code></a>
906+
907+<a class="tooltip" href='/docs/reference/library/2c/#bex' title="Binary exponent"><code>++bex</code></a>
908+<a class="tooltip" href='/docs/reference/library/2c/#can' title="Assemble"><code>++can</code></a>
909+<a class="tooltip" href='/docs/reference/library/2c/#cat' title="Concatenate"><code>++cat</code></a>
910+<a class="tooltip" href='/docs/reference/library/2c/#cut' title="Slice"><code>++cut</code></a>
911+<a class="tooltip" href='/docs/reference/library/2c/#end' title="Tail"><code>++end</code></a>
912+<a class="tooltip" href='/docs/reference/library/2c/#fil' title="Fill bloqstream"><code>++fil</code></a>
913+<a class="tooltip" href='/docs/reference/library/2c/#lsh' title="Left-shift"><code>++lsh</code></a>
914+<a class="tooltip" href='/docs/reference/library/2c/#met' title="Measure"><code>++met</code></a>
915+<a class="tooltip" href='/docs/reference/library/2c/#rap' title="Assemble non-zero"><code>++rap</code></a>
916+<a class="tooltip" href='/docs/reference/library/2c/#rep' title="Assemble single"><code>++rep</code></a>
917+<a class="tooltip" href='/docs/reference/library/2c/#rip' title="Disassemble"><code>++rip</code></a>
918+<a class="tooltip" href='/docs/reference/library/2c/#rsh' title="Right-shift"><code>++rsh</code></a>
919+<a class="tooltip" href='/docs/reference/library/2c/#swp' title="Reverse block order"><code>++swp</code></a>
920+<a class="tooltip" href='/docs/reference/library/2c/#xeb' title="Binary logarithm"><code>++xeb</code></a>
921921
922922### 2d: bit logic
923923
924−<a class="tooltip" href='/docs/hoon/library/2d/#con' title="Binary OR"><code>++con</code></a>
925−<a class="tooltip" href='/docs/hoon/library/2d/#dis' title="Binary AND (atoms)"><code>++dis</code></a>
926−<a class="tooltip" href='/docs/hoon/library/2d/#mix' title="Binary XOR (atom)"><code>++mix</code></a>
927−<a class="tooltip" href='/docs/hoon/library/2d/#not' title="Binary NOT (atom)"><code>++not</code></a>
924+<a class="tooltip" href='/docs/reference/library/2d/#con' title="Binary OR"><code>++con</code></a>
925+<a class="tooltip" href='/docs/reference/library/2d/#dis' title="Binary AND (atoms)"><code>++dis</code></a>
926+<a class="tooltip" href='/docs/reference/library/2d/#mix' title="Binary XOR (atom)"><code>++mix</code></a>
927+<a class="tooltip" href='/docs/reference/library/2d/#not' title="Binary NOT (atom)"><code>++not</code></a>
928928
929929### 2e: insecure hashing
930930
931−<a class="tooltip" href='/docs/hoon/library/2e/#fnv' title="FNV scrambler"><code>++fnv</code></a>
932−<a class="tooltip" href='/docs/hoon/library/2e/#mug' title="FNV-1a scrambler"><code>++mug</code></a>
933−<a class="tooltip" href='/docs/hoon/library/2e/#muk' title="Standard MurmurHash3"><code>++muk</code></a>
934−<a class="tooltip" href='/docs/hoon/library/2e/#mum' title="31-bit MurmurHash3 scrambler"><code>++mum</code></a>
931+<a class="tooltip" href='/docs/reference/library/2e/#fnv' title="FNV scrambler"><code>++fnv</code></a>
932+<a class="tooltip" href='/docs/reference/library/2e/#mug' title="FNV-1a scrambler"><code>++mug</code></a>
933+<a class="tooltip" href='/docs/reference/library/2e/#muk' title="Standard MurmurHash3"><code>++muk</code></a>
934+<a class="tooltip" href='/docs/reference/library/2e/#mum' title="31-bit MurmurHash3 scrambler"><code>++mum</code></a>
935935
936936### 2f: noun ordering
937937
938−<a class="tooltip" href='/docs/hoon/library/2f/#aor' title="Alphabetical order"><code>++aor</code></a>
939−<a class="tooltip" href='/docs/hoon/library/2f/#dor' title="Numeric order"><code>++dor</code></a>
940−<a class="tooltip" href='/docs/hoon/library/2f/#gor' title="Hash order"><code>++gor</code></a>
941−<a class="tooltip" href='/docs/hoon/library/2f/#hor' title="Horizontal hash order"><code>++hor</code></a>
942−<a class="tooltip" href='/docs/hoon/library/2f/#lor' title="Leg order"><code>++lor</code></a>
943−<a class="tooltip" href='/docs/hoon/library/2f/#vor' title="Vertical order"><code>++vor</code></a>
938+<a class="tooltip" href='/docs/reference/library/2f/#aor' title="Alphabetical order"><code>++aor</code></a>
939+<a class="tooltip" href='/docs/reference/library/2f/#dor' title="Numeric order"><code>++dor</code></a>
940+<a class="tooltip" href='/docs/reference/library/2f/#gor' title="Hash order"><code>++gor</code></a>
941+<a class="tooltip" href='/docs/reference/library/2f/#hor' title="Horizontal hash order"><code>++hor</code></a>
942+<a class="tooltip" href='/docs/reference/library/2f/#lor' title="Leg order"><code>++lor</code></a>
943+<a class="tooltip" href='/docs/reference/library/2f/#vor' title="Vertical order"><code>++vor</code></a>
944944
945945### 2g: unsigned powers
946946
947−<a class="tooltip" href='/docs/hoon/library/2g/#pow' title="Computes a to the power of b"><code>++pow</code></a>
948−<a class="tooltip" href='/docs/hoon/library/2g/#sqt' title="Compute square root with remainder"><code>++sqt</code></a>
947+<a class="tooltip" href='/docs/reference/library/2g/#pow' title="Computes a to the power of b"><code>++pow</code></a>
948+<a class="tooltip" href='/docs/reference/library/2g/#sqt' title="Compute square root with remainder"><code>++sqt</code></a>
949949
950950### 2h: set logic
951951
952−<a class="tooltip" href='/docs/hoon/library/2h/#in'><code>++in</code></a>
953−<a class="tooltip" href='/docs/hoon/library/2h/#all-in' title="Logical AND (set and wet gate)"><code>+-all:in</code></a>
954−<a class="tooltip" href='/docs/hoon/library/2h/#any-in' title="Logical OR (set and gate)"><code>+-any:in</code></a>
955−<a class="tooltip" href='/docs/hoon/library/2h/#apt-in' title="Check correctness (set)"><code>+-apt:in</code></a>
956−<a class="tooltip" href='/docs/hoon/library/2h/#bif-in' title="Bifurcate set"><code>+-bif:in</code></a>
957−<a class="tooltip" href='/docs/hoon/library/2h/#del-in' title="Delete (set)"><code>+-del:in</code></a>
958−<a class="tooltip" href='/docs/hoon/library/2h/#dif-in' title='Difference (set)'><code>+-dif:in</code></a>
959−<a class="tooltip" href='/docs/hoon/library/2h/#dig-in' title="Address of a in set"><code>+-dig:in</code></a>
960−<a class="tooltip" href='/docs/hoon/library/2h/#gas-in' title="Concatenate (set)"><code>+-gas:in</code></a>
961−<a class="tooltip" href='/docs/hoon/library/2h/#has-in' title="Key existence check (set)"><code>+-has:in</code></a>
962−<a class="tooltip" href='/docs/hoon/library/2h/#int-in' title="Intersection (set)"><code>+-int:in</code></a>
963−<a class="tooltip" href='/docs/hoon/library/2h/#put-in' title="Put b in a (set)"><code>+-put:in</code></a>
964−<a class="tooltip" href='/docs/hoon/library/2h/#rep-in' title="Accumulate elements (set)"><code>+-rep:in</code></a>
965−<a class="tooltip" href='/docs/hoon/library/2h/#run-in' title="Apply gate to set"><code>+-run:in</code></a>
966−<a class="tooltip" href='/docs/hoon/library/2h/#tap-in' title="Flatten set into list"><code>+-tap:in</code></a>
967−<a class="tooltip" href='/docs/hoon/library/2h/#uni-in' title="Union (sets)"><code>+-uni:in</code></a>
968−<a class="tooltip" href='/docs/hoon/library/2h/#wyt-in' title="Produce number of elements in set"><code>+-wyt:in</code></a>
952+<a class="tooltip" href='/docs/reference/library/2h/#in'><code>++in</code></a>
953+<a class="tooltip" href='/docs/reference/library/2h/#all-in' title="Logical AND (set and wet gate)"><code>+-all:in</code></a>
954+<a class="tooltip" href='/docs/reference/library/2h/#any-in' title="Logical OR (set and gate)"><code>+-any:in</code></a>
955+<a class="tooltip" href='/docs/reference/library/2h/#apt-in' title="Check correctness (set)"><code>+-apt:in</code></a>
956+<a class="tooltip" href='/docs/reference/library/2h/#bif-in' title="Bifurcate set"><code>+-bif:in</code></a>
957+<a class="tooltip" href='/docs/reference/library/2h/#del-in' title="Delete (set)"><code>+-del:in</code></a>
958+<a class="tooltip" href='/docs/reference/library/2h/#dif-in' title='Difference (set)'><code>+-dif:in</code></a>
959+<a class="tooltip" href='/docs/reference/library/2h/#dig-in' title="Address of a in set"><code>+-dig:in</code></a>
960+<a class="tooltip" href='/docs/reference/library/2h/#gas-in' title="Concatenate (set)"><code>+-gas:in</code></a>
961+<a class="tooltip" href='/docs/reference/library/2h/#has-in' title="Key existence check (set)"><code>+-has:in</code></a>
962+<a class="tooltip" href='/docs/reference/library/2h/#int-in' title="Intersection (set)"><code>+-int:in</code></a>
963+<a class="tooltip" href='/docs/reference/library/2h/#put-in' title="Put b in a (set)"><code>+-put:in</code></a>
964+<a class="tooltip" href='/docs/reference/library/2h/#rep-in' title="Accumulate elements (set)"><code>+-rep:in</code></a>
965+<a class="tooltip" href='/docs/reference/library/2h/#run-in' title="Apply gate to set"><code>+-run:in</code></a>
966+<a class="tooltip" href='/docs/reference/library/2h/#tap-in' title="Flatten set into list"><code>+-tap:in</code></a>
967+<a class="tooltip" href='/docs/reference/library/2h/#uni-in' title="Union (sets)"><code>+-uni:in</code></a>
968+<a class="tooltip" href='/docs/reference/library/2h/#wyt-in' title="Produce number of elements in set"><code>+-wyt:in</code></a>
969969
970970### 2i: map logic
971971
972−<a class="tooltip" href='/docs/hoon/library/2i/#by' title="Map operations"><code>++by</code></a>
973−<a class="tooltip" href='/docs/hoon/library/2i/#all-by' title="Logical AND (map and wet gate)"><code>+-all:by</code></a>
974−<a class="tooltip" href='/docs/hoon/library/2i/#any-by' title="Logical OR (map and wet gate)"><code>+-any:by</code></a>
975−<a class="tooltip" href='/docs/hoon/library/2i/#apt-by' title="Check correctness (map)"><code>+-apt:by</code></a>
976−<a class="tooltip" href='/docs/hoon/library/2i/#bif-by' title="Bifurcate map"><code>+-bif:by</code></a>
977−<a class="tooltip" href='/docs/hoon/library/2i/#def-by' title="Difference (map)"><code>+-def:by</code></a>
978−<a class="tooltip" href='/docs/hoon/library/2i/#del-by' title="Delete (map)"><code>+-del:by</code></a>
979−<a class="tooltip" href='/docs/hoon/library/2i/#dep-by' title="Difference as patch (map)"><code>+-dep:by</code></a>
980−<a class="tooltip" href='/docs/hoon/library/2i/#dig-by' title="Address of key (map)"><code>+-dig:by</code></a>
981−<a class="tooltip" href='/docs/hoon/library/2i/#gas-by' title="Concatenate (map)"><code>+-gas:by</code></a>
982−<a class="tooltip" href='/docs/hoon/library/2i/#get-by' title="Grab unit value"><code>+-get:by</code></a>
983−<a class="tooltip" href='/docs/hoon/library/2i/#got-by' title="Assert for value (map)"><code>+-got:by</code></a>
984−<a class="tooltip" href='/docs/hoon/library/2i/#has-by' title="Key existence check (map)"><code>+-has:by</code></a>
985−<a class="tooltip" href='/docs/hoon/library/2i/#int-by' title="Intersection (map)"><code>+-int:by</code></a>
986−<a class="tooltip" href='/docs/hoon/library/2i/#mar-by' title="Assert and add (map)"><code>+-mar:by</code></a>
987−<a class="tooltip" href='/docs/hoon/library/2i/#put-by' title="Add key-value pair (map)"><code>+-put:by</code></a>
988−<a class="tooltip" href='/docs/hoon/library/2i/#rep-by' title="Replace by product (map)"><code>+-rep:by</code></a>
989−<a class="tooltip" href='/docs/hoon/library/2i/#rib-by' title="Replace values with accumulator (map)"><code>+-rib:by</code></a>
990−<a class="tooltip" href='/docs/hoon/library/2i/#run-by' title="Transform values (map)"><code>+-run:by</code></a>
991−<a class="tooltip" href='/docs/hoon/library/2i/#rut-by' title="Transform nodes (map)"><code>+-rut:by</code></a>
992−<a class="tooltip" href='/docs/hoon/library/2i/#tap-by' title="Listify pairs"><code>+-tap:by</code></a>
993−<a class="tooltip" href='/docs/hoon/library/2i/#uni-by' title="Union (map between keys of two lists)"><code>+-uni:by</code></a>
994−<a class="tooltip" href='/docs/hoon/library/2i/#urn-by' title="Turn (with key) (map)"><code>+-urn:by</code></a>
995−<a class="tooltip" href='/docs/hoon/library/2i/#wyt-by' title="Produce depth of tree map"><code>+-wyt:by</code></a>
972+<a class="tooltip" href='/docs/reference/library/2i/#by' title="Map operations"><code>++by</code></a>
973+<a class="tooltip" href='/docs/reference/library/2i/#all-by' title="Logical AND (map and wet gate)"><code>+-all:by</code></a>
974+<a class="tooltip" href='/docs/reference/library/2i/#any-by' title="Logical OR (map and wet gate)"><code>+-any:by</code></a>
975+<a class="tooltip" href='/docs/reference/library/2i/#apt-by' title="Check correctness (map)"><code>+-apt:by</code></a>
976+<a class="tooltip" href='/docs/reference/library/2i/#bif-by' title="Bifurcate map"><code>+-bif:by</code></a>
977+<a class="tooltip" href='/docs/reference/library/2i/#def-by' title="Difference (map)"><code>+-def:by</code></a>
978+<a class="tooltip" href='/docs/reference/library/2i/#del-by' title="Delete (map)"><code>+-del:by</code></a>
979+<a class="tooltip" href='/docs/reference/library/2i/#dep-by' title="Difference as patch (map)"><code>+-dep:by</code></a>
980+<a class="tooltip" href='/docs/reference/library/2i/#dig-by' title="Address of key (map)"><code>+-dig:by</code></a>
981+<a class="tooltip" href='/docs/reference/library/2i/#gas-by' title="Concatenate (map)"><code>+-gas:by</code></a>
982+<a class="tooltip" href='/docs/reference/library/2i/#get-by' title="Grab unit value"><code>+-get:by</code></a>
983+<a class="tooltip" href='/docs/reference/library/2i/#got-by' title="Assert for value (map)"><code>+-got:by</code></a>
984+<a class="tooltip" href='/docs/reference/library/2i/#has-by' title="Key existence check (map)"><code>+-has:by</code></a>
985+<a class="tooltip" href='/docs/reference/library/2i/#int-by' title="Intersection (map)"><code>+-int:by</code></a>
986+<a class="tooltip" href='/docs/reference/library/2i/#mar-by' title="Assert and add (map)"><code>+-mar:by</code></a>
987+<a class="tooltip" href='/docs/reference/library/2i/#put-by' title="Add key-value pair (map)"><code>+-put:by</code></a>
988+<a class="tooltip" href='/docs/reference/library/2i/#rep-by' title="Replace by product (map)"><code>+-rep:by</code></a>
989+<a class="tooltip" href='/docs/reference/library/2i/#rib-by' title="Replace values with accumulator (map)"><code>+-rib:by</code></a>
990+<a class="tooltip" href='/docs/reference/library/2i/#run-by' title="Transform values (map)"><code>+-run:by</code></a>
991+<a class="tooltip" href='/docs/reference/library/2i/#rut-by' title="Transform nodes (map)"><code>+-rut:by</code></a>
992+<a class="tooltip" href='/docs/reference/library/2i/#tap-by' title="Listify pairs"><code>+-tap:by</code></a>
993+<a class="tooltip" href='/docs/reference/library/2i/#uni-by' title="Union (map between keys of two lists)"><code>+-uni:by</code></a>
994+<a class="tooltip" href='/docs/reference/library/2i/#urn-by' title="Turn (with key) (map)"><code>+-urn:by</code></a>
995+<a class="tooltip" href='/docs/reference/library/2i/#wyt-by' title="Produce depth of tree map"><code>+-wyt:by</code></a>
996996
997997### 2j: jar and jug logic
998998
999−<a class="tooltip" href='/docs/hoon/library/2j/#ja' title="Jar engine"><code>++ja</code></a>
1000−<a class="tooltip" href='/docs/hoon/library/2j/#add-ja' title="Prepend to list"><code>+-add:ja</code></a>
1001−<a class="tooltip" href='/docs/hoon/library/2j/#get-ja' title="Grab value by key"><code>+-get:ja</code></a>
999+<a class="tooltip" href='/docs/reference/library/2j/#ja' title="Jar engine"><code>++ja</code></a>
1000+<a class="tooltip" href='/docs/reference/library/2j/#add-ja' title="Prepend to list"><code>+-add:ja</code></a>
1001+<a class="tooltip" href='/docs/reference/library/2j/#get-ja' title="Grab value by key"><code>+-get:ja</code></a>
10021002
1003−<a class="tooltip" href='/docs/hoon/library/2j/#ju' title="Jug operations"><code>++ju</code></a>
1004−<a class="tooltip" href='/docs/hoon/library/2j/#del-ju' title="Delete (jug)"><code>+-del:ju</code></a>
1005−<a class="tooltip" href='/docs/hoon/library/2j/#get-ju' title="Retrieve set"><code>+-get:ju</code></a>
1006−<a class="tooltip" href='/docs/hoon/library/2j/#has-ju' title="Check contents (jug)"><code>+-has:ju</code></a>
1007−<a class="tooltip" href='/docs/hoon/library/2j/#put-ju' title="Add key-set pair (jar)"><code>+-put:ju</code></a>
1003+<a class="tooltip" href='/docs/reference/library/2j/#ju' title="Jug operations"><code>++ju</code></a>
1004+<a class="tooltip" href='/docs/reference/library/2j/#del-ju' title="Delete (jug)"><code>+-del:ju</code></a>
1005+<a class="tooltip" href='/docs/reference/library/2j/#get-ju' title="Retrieve set"><code>+-get:ju</code></a>
1006+<a class="tooltip" href='/docs/reference/library/2j/#has-ju' title="Check contents (jug)"><code>+-has:ju</code></a>
1007+<a class="tooltip" href='/docs/reference/library/2j/#put-ju' title="Add key-set pair (jar)"><code>+-put:ju</code></a>
10081008
10091009### 2k: queue logic
10101010
1011−<a class="tooltip" href='/docs/hoon/library/2k/#to' title="Queue operations"><code>++to</code></a>
1012−<a class="tooltip" href='/docs/hoon/library/2k/#bal-to' title="Balance queue"><code>+-bal:to</code></a>
1013−<a class="tooltip" href='/docs/hoon/library/2k/#dep-to' title="Maximum depth (queue)"><code>+-dep:to</code></a>
1014−<a class="tooltip" href='/docs/hoon/library/2k/#gas-to' title="Push list into queue"><code>+-gas:to</code></a>
1015−<a class="tooltip" href='/docs/hoon/library/2k/#get-to' title="Head-tail pair"><code>+-get:to</code></a>
1016−<a class="tooltip" href='/docs/hoon/library/2k/#nap-to' title="Remove head of queue"><code>+-nap:to</code></a>
1017−<a class="tooltip" href='/docs/hoon/library/2k/#nip-to' title="Remove root of queue"><code>+-nip:to</code></a>
1018−<a class="tooltip" href='/docs/hoon/library/2k/#put-to' title="Insert into queue"><code>+-put:to</code></a>
1019−<a class="tooltip" href='/docs/hoon/library/2k/#tap-to' title="Queue to list"><code>+-tap:to</code></a>
1020−<a class="tooltip" href='/docs/hoon/library/2k/#top-to' title="Produce head of queue"><code>+-top:to</code></a>
1011+<a class="tooltip" href='/docs/reference/library/2k/#to' title="Queue operations"><code>++to</code></a>
1012+<a class="tooltip" href='/docs/reference/library/2k/#bal-to' title="Balance queue"><code>+-bal:to</code></a>
1013+<a class="tooltip" href='/docs/reference/library/2k/#dep-to' title="Maximum depth (queue)"><code>+-dep:to</code></a>
1014+<a class="tooltip" href='/docs/reference/library/2k/#gas-to' title="Push list into queue"><code>+-gas:to</code></a>
1015+<a class="tooltip" href='/docs/reference/library/2k/#get-to' title="Head-tail pair"><code>+-get:to</code></a>
1016+<a class="tooltip" href='/docs/reference/library/2k/#nap-to' title="Remove head of queue"><code>+-nap:to</code></a>
1017+<a class="tooltip" href='/docs/reference/library/2k/#nip-to' title="Remove root of queue"><code>+-nip:to</code></a>
1018+<a class="tooltip" href='/docs/reference/library/2k/#put-to' title="Insert into queue"><code>+-put:to</code></a>
1019+<a class="tooltip" href='/docs/reference/library/2k/#tap-to' title="Queue to list"><code>+-tap:to</code></a>
1020+<a class="tooltip" href='/docs/reference/library/2k/#top-to' title="Produce head of queue"><code>+-top:to</code></a>
10211021
10221022### 2l: container from container
10231023
1024−<a class="tooltip" href='/docs/hoon/library/2l/#malt' title="Map from list"><code>++malt</code></a>
1025−<a class="tooltip" href='/docs/hoon/library/2l/#molt' title="Map from pair list"><code>++molt</code></a>
1026−<a class="tooltip" href='/docs/hoon/library/2l/#silt' title="Produce set from list"><code>++silt</code></a>
1024+<a class="tooltip" href='/docs/reference/library/2l/#malt' title="Map from list"><code>++malt</code></a>
1025+<a class="tooltip" href='/docs/reference/library/2l/#molt' title="Map from pair list"><code>++molt</code></a>
1026+<a class="tooltip" href='/docs/reference/library/2l/#silt' title="Produce set from list"><code>++silt</code></a>
10271027
10281028### 2m: container from noun
10291029
1030−<a class="tooltip" href='/docs/hoon/library/2m/#nl' title="Noun to container operations"><code>++nl</code></a>
1031−<a class="tooltip" href='/docs/hoon/library/2m/#le-nl' title="Construct list from null-terminated noun"><code>++le:nl</code></a>
1032−<a class="tooltip" href='/docs/hoon/library/2m/#my-nl' title="Construct map from null-terminated noun"><code>++my:nl</code></a>
1033−<a class="tooltip" href='/docs/hoon/library/2m/#si-nl' title="Construct set from null-terminated noun"><code>++si:nl</code></a>
1034−<a class="tooltip" href='/docs/hoon/library/2m/#snag-nl' title="Produce element from list at specific null-terminated noun"><code>++snag:nl</code></a>
1035−<a class="tooltip" href='/docs/hoon/library/2m/#weld-nl' title="Concatenate null-terminated nouns"><code>++weld:nl</code></a>
1030+<a class="tooltip" href='/docs/reference/library/2m/#nl' title="Noun to container operations"><code>++nl</code></a>
1031+<a class="tooltip" href='/docs/reference/library/2m/#le-nl' title="Construct list from null-terminated noun"><code>++le:nl</code></a>
1032+<a class="tooltip" href='/docs/reference/library/2m/#my-nl' title="Construct map from null-terminated noun"><code>++my:nl</code></a>
1033+<a class="tooltip" href='/docs/reference/library/2m/#si-nl' title="Construct set from null-terminated noun"><code>++si:nl</code></a>
1034+<a class="tooltip" href='/docs/reference/library/2m/#snag-nl' title="Produce element from list at specific null-terminated noun"><code>++snag:nl</code></a>
1035+<a class="tooltip" href='/docs/reference/library/2m/#weld-nl' title="Concatenate null-terminated nouns"><code>++weld:nl</code></a>
10361036
1037−<a class="tooltip" href='/docs/hoon/library/2m/#ly' title="List from raw noun"><code>++ly</code></a>
1038−<a class="tooltip" href='/docs/hoon/library/2m/#my' title="Map from raw noun"><code>++my</code></a>
1039−<a class="tooltip" href='/docs/hoon/library/2m/#sy' title="Produce set from null-terminated noun"><code>++sy</code></a>
1037+<a class="tooltip" href='/docs/reference/library/2m/#ly' title="List from raw noun"><code>++ly</code></a>
1038+<a class="tooltip" href='/docs/reference/library/2m/#my' title="Map from raw noun"><code>++my</code></a>
1039+<a class="tooltip" href='/docs/reference/library/2m/#sy' title="Produce set from null-terminated noun"><code>++sy</code></a>
10401040
10411041### 2n: functional hacks
10421042
1043−<a class="tooltip" href='/docs/hoon/library/2n/#cork' title="Compose forward"><code>++cork</code></a>
1044−<a class="tooltip" href='/docs/hoon/library/2n/#corl' title="Compose backward"><code>++corl</code></a>
1045−<a class="tooltip" href='/docs/hoon/library/2n/#curr' title="Right-curry a gate"><code>++curr</code></a>
1046−<a class="tooltip" href='/docs/hoon/library/2n/#cury' title="Curry left a gate"><code>++cury</code></a>
1047−<a class="tooltip" href='/docs/hoon/library/2n/#hard' title="Force remold"><code>++hard</code></a>
1048−<a class="tooltip" href='/docs/hoon/library/2n/#head' title="Get head of cell"><code>++head</code></a>
1049−<a class="tooltip" href='/docs/hoon/library/2n/#mean' title="Crash and printf"><code>++mean</code></a>
1050−<a class="tooltip" href='/docs/hoon/library/2n/#same' title="Identity (produces same value)"><code>++same</code></a>
1051−<a class="tooltip" href='/docs/hoon/library/2n/#slog' title="Deify printf"><code>++slog</code></a>
1052−<a class="tooltip" href='/docs/hoon/library/2n/#soft' title="Maybe remold"><code>++soft</code></a>
1053−<a class="tooltip" href='/docs/hoon/library/2n/#tail' title="Get tail of cell"><code>++tail</code></a>
1054−<a class="tooltip" href='/docs/hoon/library/2n/#test' title="Test for equality"><code>++test</code></a>
1043+<a class="tooltip" href='/docs/reference/library/2n/#cork' title="Compose forward"><code>++cork</code></a>
1044+<a class="tooltip" href='/docs/reference/library/2n/#corl' title="Compose backward"><code>++corl</code></a>
1045+<a class="tooltip" href='/docs/reference/library/2n/#curr' title="Right-curry a gate"><code>++curr</code></a>
1046+<a class="tooltip" href='/docs/reference/library/2n/#cury' title="Curry left a gate"><code>++cury</code></a>
1047+<a class="tooltip" href='/docs/reference/library/2n/#hard' title="Force remold"><code>++hard</code></a>
1048+<a class="tooltip" href='/docs/reference/library/2n/#head' title="Get head of cell"><code>++head</code></a>
1049+<a class="tooltip" href='/docs/reference/library/2n/#mean' title="Crash and printf"><code>++mean</code></a>
1050+<a class="tooltip" href='/docs/reference/library/2n/#same' title="Identity (produces same value)"><code>++same</code></a>
1051+<a class="tooltip" href='/docs/reference/library/2n/#slog' title="Deify printf"><code>++slog</code></a>
1052+<a class="tooltip" href='/docs/reference/library/2n/#soft' title="Maybe remold"><code>++soft</code></a>
1053+<a class="tooltip" href='/docs/reference/library/2n/#tail' title="Get tail of cell"><code>++tail</code></a>
1054+<a class="tooltip" href='/docs/reference/library/2n/#test' title="Test for equality"><code>++test</code></a>
10551055
10561056### 2o: normalizing containers
10571057
1058−<a class="tooltip" href='/docs/hoon/library/2o/#jar' title="Mold generator (jar)"><code>++jar</code></a>
1059−<a class="tooltip" href='/docs/hoon/library/2o/#jug' title="Mold generator (jug)"><code>++jug</code></a>
1060−<a class="tooltip" href='/docs/hoon/library/2o/#map' title="Mold generator (map)"><code>++map</code></a>
1061−<a class="tooltip" href='/docs/hoon/library/2o/#qeu' title="Mold generator (queue)"><code>++qeu</code></a>
1062−<a class="tooltip" href='/docs/hoon/library/2o/#set' title="Mold generator (set)"><code>++set</code></a>
1058+<a class="tooltip" href='/docs/reference/library/2o/#jar' title="Mold generator (jar)"><code>++jar</code></a>
1059+<a class="tooltip" href='/docs/reference/library/2o/#jug' title="Mold generator (jug)"><code>++jug</code></a>
1060+<a class="tooltip" href='/docs/reference/library/2o/#map' title="Mold generator (map)"><code>++map</code></a>
1061+<a class="tooltip" href='/docs/reference/library/2o/#qeu' title="Mold generator (queue)"><code>++qeu</code></a>
1062+<a class="tooltip" href='/docs/reference/library/2o/#set' title="Mold generator (set)"><code>++set</code></a>
10631063
10641064### 2p: serialization
10651065
1066−<a class="tooltip" href='/docs/hoon/library/2p/#cue' title="Unpack atom to noun"><code>++cue</code></a>
1067−<a class="tooltip" href='/docs/hoon/library/2p/#jam' title="Pack noun to atom"><code>++jam</code></a>
1068−<a class="tooltip" href='/docs/hoon/library/2p/#mat' title="Length-encode"><code>++mat</code></a>
1069−<a class="tooltip" href='/docs/hoon/library/2p/#rub' title="Length-decode"><code>++rub</code></a>
1066+<a class="tooltip" href='/docs/reference/library/2p/#cue' title="Unpack atom to noun"><code>++cue</code></a>
1067+<a class="tooltip" href='/docs/reference/library/2p/#jam' title="Pack noun to atom"><code>++jam</code></a>
1068+<a class="tooltip" href='/docs/reference/library/2p/#mat' title="Length-encode"><code>++mat</code></a>
1069+<a class="tooltip" href='/docs/reference/library/2p/#rub' title="Length-decode"><code>++rub</code></a>
10701070
10711071### 2q: molds and mold builders
10721072
1073−<a class="tooltip" href='/docs/hoon/library/2q/#char' title="Character"><code>++char</code></a>
1074−<a class="tooltip" href='/docs/hoon/library/2q/#cord' title="UTF-8 text"><code>++cord</code></a>
1075−<a class="tooltip" href='/docs/hoon/library/2q/#date' title="Point in time"><code>++date</code></a>
1076−<a class="tooltip" href='/docs/hoon/library/2q/#knot' title="Atom type of ASCII characters"><code>++knot</code></a>
1077−<a class="tooltip" href='/docs/hoon/library/2q/#tang' title="Generic print structure"><code>++tang</code></a>
1078−<a class="tooltip" href='/docs/hoon/library/2q/#tank' title="Pretty-printing structure"><code>++tank</code></a>
1079−<a class="tooltip" href='/docs/hoon/library/2q/#tape' title="List of characters"><code>++tape</code></a>
1080−<a class="tooltip" href='/docs/hoon/library/2q/#tarp' title="Parsed time"><code>++tarp</code></a>
1081−<a class="tooltip" href='/docs/hoon/library/2q/#term' title="Hoon constant"><code>++term</code></a>
1082−<a class="tooltip" href='/docs/hoon/library/2q/#wain' title="List of cords"><code>++wain</code></a>
1083−<a class="tooltip" href='/docs/hoon/library/2q/#wall' title="List of list of characters"><code>++wall</code></a>
1073+<a class="tooltip" href='/docs/reference/library/2q/#char' title="Character"><code>++char</code></a>
1074+<a class="tooltip" href='/docs/reference/library/2q/#cord' title="UTF-8 text"><code>++cord</code></a>
1075+<a class="tooltip" href='/docs/reference/library/2q/#date' title="Point in time"><code>++date</code></a>
1076+<a class="tooltip" href='/docs/reference/library/2q/#knot' title="Atom type of ASCII characters"><code>++knot</code></a>
1077+<a class="tooltip" href='/docs/reference/library/2q/#tang' title="Generic print structure"><code>++tang</code></a>
1078+<a class="tooltip" href='/docs/reference/library/2q/#tank' title="Pretty-printing structure"><code>++tank</code></a>
1079+<a class="tooltip" href='/docs/reference/library/2q/#tape' title="List of characters"><code>++tape</code></a>
1080+<a class="tooltip" href='/docs/reference/library/2q/#tarp' title="Parsed time"><code>++tarp</code></a>
1081+<a class="tooltip" href='/docs/reference/library/2q/#term' title="Hoon constant"><code>++term</code></a>
1082+<a class="tooltip" href='/docs/reference/library/2q/#wain' title="List of cords"><code>++wain</code></a>
1083+<a class="tooltip" href='/docs/reference/library/2q/#wall' title="List of list of characters"><code>++wall</code></a>
10841084
10851085### 3a: modular and signed ints
10861086
1087−<a class="tooltip" href='/docs/hoon/library/3a/#fo' title="Modulo prime"><code>++fo</code></a>
1088−<a class="tooltip" href='/docs/hoon/library/3a/#dif-fo' title='Subtraction (modular base)'><code>++dif:fo</code></a>
1089−<a class="tooltip" href='/docs/hoon/library/3a/#exp-fo' title="Exponent (modular base)"><code>++exp:fo</code></a>
1090−<a class="tooltip" href='/docs/hoon/library/3a/#fra-fo' title="Divide (modular base)"><code>++fra:fo</code></a>
1091−<a class="tooltip" href='/docs/hoon/library/3a/#inv-fo' title="Inverse (signed modulus)"><code>++inv:fo</code></a>
1092−<a class="tooltip" href='/docs/hoon/library/3a/#pro-fo' title="Multiplies b and c modulo a"><code>++pro:fo</code></a>
1093−<a class="tooltip" href='/docs/hoon/library/3a/#sit-fo' title="Produce remainder of b modulo a"><code>++sit:fo</code></a>
1094−<a class="tooltip" href='/docs/hoon/library/3a/#sum-fo' title="Modular sum"><code>++sum:fo</code></a>
1095−
1096−<a class="tooltip" href='/docs/hoon/library/3a/#si' title="Signed integer"><code>++si</code></a>
1097−<a class="tooltip" href='/docs/hoon/library/3a/#abs-si' title="Absolute value (signed integer)"><code>++abs:si</code></a>
1098−<a class="tooltip" href='/docs/hoon/library/3a/#cmp-si' title="Compare (signed integer)"><code>++cmp:si</code></a>
1099−<a class="tooltip" href='/docs/hoon/library/3a/#dif-si' title="Subtraction (signed integer)"><code>++dif:si</code></a>
1100−<a class="tooltip" href='/docs/hoon/library/3a/#dul-si' title="Modulus (signed integer)"><code>++dul:si</code></a>
1101−<a class="tooltip" href='/docs/hoon/library/3a/#fra-si' title="Divide (signed integer)"><code>++fra:si</code></a>
1102−<a class="tooltip" href='/docs/hoon/library/3a/#new-si' title="Atom to @s"><code>++new:si</code></a>
1103−<a class="tooltip" href='/docs/hoon/library/3a/#old-si' title="Sign and absolute value"><code>++old:si</code></a>
1104−<a class="tooltip" href='/docs/hoon/library/3a/#pro-si' title="Multiply to signed integer"><code>++pro:si</code></a>
1105−<a class="tooltip" href='/docs/hoon/library/3a/#rem-si' title="Remainder (signed integer)"><code>++rem:si</code></a>
1106−<a class="tooltip" href='/docs/hoon/library/3a/#sum-si' title="Addition (signed integer)"><code>++sum:si</code></a>
1107−<a class="tooltip" href='/docs/hoon/library/3a/#sun-si' title="@u to @s"><code>++sun:si</code></a>
1108−<a class="tooltip" href='/docs/hoon/library/3a/#syn-si' title="Sign test"><code>++syn:si</code></a>
1109−
1110−<a class="tooltip" href='/docs/hoon/library/3a/#egcd' title="Extended Euclidean algorithm"><code>++egcd</code></a>
1087+<a class="tooltip" href='/docs/reference/library/3a/#fo' title="Modulo prime"><code>++fo</code></a>
1088+<a class="tooltip" href='/docs/reference/library/3a/#dif-fo' title='Subtraction (modular base)'><code>++dif:fo</code></a>
1089+<a class="tooltip" href='/docs/reference/library/3a/#exp-fo' title="Exponent (modular base)"><code>++exp:fo</code></a>
1090+<a class="tooltip" href='/docs/reference/library/3a/#fra-fo' title="Divide (modular base)"><code>++fra:fo</code></a>
1091+<a class="tooltip" href='/docs/reference/library/3a/#inv-fo' title="Inverse (signed modulus)"><code>++inv:fo</code></a>
1092+<a class="tooltip" href='/docs/reference/library/3a/#pro-fo' title="Multiplies b and c modulo a"><code>++pro:fo</code></a>
1093+<a class="tooltip" href='/docs/reference/library/3a/#sit-fo' title="Produce remainder of b modulo a"><code>++sit:fo</code></a>
1094+<a class="tooltip" href='/docs/reference/library/3a/#sum-fo' title="Modular sum"><code>++sum:fo</code></a>
1095+
1096+<a class="tooltip" href='/docs/reference/library/3a/#si' title="Signed integer"><code>++si</code></a>
1097+<a class="tooltip" href='/docs/reference/library/3a/#abs-si' title="Absolute value (signed integer)"><code>++abs:si</code></a>
1098+<a class="tooltip" href='/docs/reference/library/3a/#cmp-si' title="Compare (signed integer)"><code>++cmp:si</code></a>
1099+<a class="tooltip" href='/docs/reference/library/3a/#dif-si' title="Subtraction (signed integer)"><code>++dif:si</code></a>
1100+<a class="tooltip" href='/docs/reference/library/3a/#dul-si' title="Modulus (signed integer)"><code>++dul:si</code></a>
1101+<a class="tooltip" href='/docs/reference/library/3a/#fra-si' title="Divide (signed integer)"><code>++fra:si</code></a>
1102+<a class="tooltip" href='/docs/reference/library/3a/#new-si' title="Atom to @s"><code>++new:si</code></a>
1103+<a class="tooltip" href='/docs/reference/library/3a/#old-si' title="Sign and absolute value"><code>++old:si</code></a>
1104+<a class="tooltip" href='/docs/reference/library/3a/#pro-si' title="Multiply to signed integer"><code>++pro:si</code></a>
1105+<a class="tooltip" href='/docs/reference/library/3a/#rem-si' title="Remainder (signed integer)"><code>++rem:si</code></a>
1106+<a class="tooltip" href='/docs/reference/library/3a/#sum-si' title="Addition (signed integer)"><code>++sum:si</code></a>
1107+<a class="tooltip" href='/docs/reference/library/3a/#sun-si' title="@u to @s"><code>++sun:si</code></a>
1108+<a class="tooltip" href='/docs/reference/library/3a/#syn-si' title="Sign test"><code>++syn:si</code></a>
1109+
1110+<a class="tooltip" href='/docs/reference/library/3a/#egcd' title="Extended Euclidean algorithm"><code>++egcd</code></a>
11111111
11121112### 3b: floating point
11131113
1114−<a class="tooltip" href='/docs/hoon/library/3b/#dn'><code>++dn</code></a>
1115−<a class="tooltip" href='/docs/hoon/library/3b/#fn'><code>++fn</code></a>
1116−<a class="tooltip" href='/docs/hoon/library/3b/#rn'><code>++rn</code></a>
1117−
1118−<a class="tooltip" href='/docs/hoon/library/3b/#ff'><code>++ff</code></a>
1119−<a class="tooltip" href='/docs/hoon/library/3b/#add-ff' title="Add (floating point)"><code>++add:ff</code></a>
1120−<a class="tooltip" href='/docs/hoon/library/3b/#bif-ff' title="Converts from fn to @r"><code>++bif:ff</code></a>
1121−<a class="tooltip" href='/docs/hoon/library/3b/#bit-ff' title="fn to @r with rounding"><code>++bit:ff</code></a>
1122−<a class="tooltip" href='/docs/hoon/library/3b/#div-ff' title="Divide (IEEE float)"><code>++div:ff</code></a>
1123−<a class="tooltip" href='/docs/hoon/library/3b/#drg-ff' title="@r to decimal float"><code>++drg:ff</code></a>
1124−<a class="tooltip" href='/docs/hoon/library/3b/#equ-ff' title="Equals (IEEE float)"><code>++equ:ff</code></a>
1125−<a class="tooltip" href='/docs/hoon/library/3b/#exp-ff' title="Get exponent (IEEE float)"><code>++exp:ff</code></a>
1126−<a class="tooltip" href='/docs/hoon/library/3b/#fma-ff' title="Fused multiply-add (IEEE float)"><code>++fma:ff</code></a>
1127−<a class="tooltip" href='/docs/hoon/library/3b/#grd-ff' title="Decimal float to @r"><code>++grd:ff</code></a>
1128−<a class="tooltip" href='/docs/hoon/library/3b/#gte-ff' title="Greater than / equal (IEEE float)"><code>++gte:ff</code></a>
1129−<a class="tooltip" href='/docs/hoon/library/3b/#gth-ff' title="Greater than (IEEE float)"><code>++gth:ff</code></a>
1130−<a class="tooltip" href='/docs/hoon/library/3b/#lte-ff' title="Less than / equal (IEEE float)"><code>++lte:ff</code></a>
1131−<a class="tooltip" href='/docs/hoon/library/3b/#lth-ff' title="Less than (IEEE float)"><code>++lth:ff</code></a>
1132−<a class="tooltip" href='/docs/hoon/library/3b/#me-ff' title="Minimum exponent of ff"><code>++me:ff</code></a>
1133−<a class="tooltip" href='/docs/hoon/library/3b/#mul-ff' title="Multiply (IEEE float)"><code>++mul:ff</code></a>
1134−<a class="tooltip" href='/docs/hoon/library/3b/#pa-ff' title="Initialize fl from ff core"><code>++pa:ff</code></a>
1135−<a class="tooltip" href='/docs/hoon/library/3b/#san-ff' title="Signed integer to @r"><code>++san:ff</code></a>
1136−<a class="tooltip" href='/docs/hoon/library/3b/#sb-ff' title="Sign bit"><code>++sb:ff</code></a>
1137−<a class="tooltip" href='/docs/hoon/library/3b/#sea-ff' title="Convert from IEEE float to fn"><code>++sea:ff</code></a>
1138−<a class="tooltip" href='/docs/hoon/library/3b/#sig-ff' title="Produce sign of IEEE float"><code>++sig:ff</code></a>
1139−<a class="tooltip" href='/docs/hoon/library/3b/#sqt-ff' title="Produce square root from IEEE float"><code>++sqt:ff</code></a>
1140−<a class="tooltip" href='/docs/hoon/library/3b/#sub-ff' title="Subtract from IEEE float"><code>++sub:ff</code></a>
1141−<a class="tooltip" href='/docs/hoon/library/3b/#sun-ff' title="Unsigned integer to IEEE float"><code>++sun:ff</code></a>
1142−<a class="tooltip" href='/docs/hoon/library/3b/#toi-ff' title="Round IEEE float to nearest signed integer"><code>++toi:ff</code></a>
1143−
1144−<a class="tooltip" href='/docs/hoon/library/3b/#fl'><code>++fl</code></a>
1145−<a class="tooltip" href='/docs/hoon/library/3b/#abs-fl' title="Absolute value"><code>++abs:fl</code></a>
1146−<a class="tooltip" href='/docs/hoon/library/3b/#add-fl' title="Add (with exact/rounded flag)"><code>++add:fl</code></a>
1147−<a class="tooltip" href='/docs/hoon/library/3b/#den-fl' title="Denormalizes (floating point)"><code>++den:fl</code></a>
1148−<a class="tooltip" href='/docs/hoon/library/3b/#div-fl' title="Divide (signed and unsigned integer cell)"><code>++div:fl</code></a>
1149−<a class="tooltip" href='/docs/hoon/library/3b/#drg-fl' title="Get printable decimal (signed and unsigned integer cell)"><code>++drg:fl</code></a>
1150−<a class="tooltip" href='/docs/hoon/library/3b/#ead-fl' title="Exact add"><code>++ead:fl</code></a>
1151−<a class="tooltip" href='/docs/hoon/library/3b/#emn-fl' title="Minimum exponent"><code>++emn:fl</code></a>
1152−<a class="tooltip" href='/docs/hoon/library/3b/#emu-fl' title="Exact multiply"><code>++emu:fl</code></a>
1153−<a class="tooltip" href='/docs/hoon/library/3b/#emx-fl' title="Maximum exponent"><code>++emx:fl</code></a>
1154−<a class="tooltip" href='/docs/hoon/library/3b/#equ-fl' title="Equals (signed and unsigned integer cell)"><code>++equ:fl</code></a>
1155−<a class="tooltip" href='/docs/hoon/library/3b/#fli-fl' title="Flip sign"><code>++fli:fl</code></a>
1156−<a class="tooltip" href='/docs/hoon/library/3b/#fma-fl' title="Fused multiply-add"><code>++fma:fl</code></a>
1157−<a class="tooltip" href='/docs/hoon/library/3b/#grd-fl' title="Decimal to float"><code>++grd:fl</code></a>
1158−<a class="tooltip" href='/docs/hoon/library/3b/#gte-fl' title="Greater than / equal (producing flag)"><code>++gte:fl</code></a>
1159−<a class="tooltip" href='/docs/hoon/library/3b/#gth-fl' title="Greater than (producing flag)"><code>++gth:fl</code></a>
1160−<a class="tooltip" href='/docs/hoon/library/3b/#ibl-fl' title="Integer binary logarithm"><code>++ibl:fl</code></a>
1161−<a class="tooltip" href='/docs/hoon/library/3b/#inv-fl' title="Inverse"><code>++inv:fl</code></a>
1162−<a class="tooltip" href='/docs/hoon/library/3b/#lfe-fl' title="Maximum"><code>++lfe:fl</code></a>
1163−<a class="tooltip" href='/docs/hoon/library/3b/#lfn-fl' title="Largest normal float"><code>++lfn:fl</code></a>
1164−<a class="tooltip" href='/docs/hoon/library/3b/#lte-fl' title="Less than / equal (producing flag)"><code>++lte:fl</code></a>
1165−<a class="tooltip" href='/docs/hoon/library/3b/#lth-fl' title="Less than (signed and unsigned integer cell)"><code>++lth:fl</code></a>
1166−<a class="tooltip" href='/docs/hoon/library/3b/#lug-fl' title="Central rounding mechanism"><code>++lug:fl</code></a>
1167−<a class="tooltip" href='/docs/hoon/library/3b/#mul-fl' title="Multiply (signed and unsigned integer cell)"><code>++mul:fl</code></a>
1168−<a class="tooltip" href='/docs/hoon/library/3b/#ned-fl' title="Require float"><code>++ned:fl</code></a>
1169−<a class="tooltip" href='/docs/hoon/library/3b/#prc-fl' title="Force precision of 2 or greater (floating point)"><code>++prc:fl</code></a>
1170−<a class="tooltip" href='/docs/hoon/library/3b/#rau-fl' title="Various roundings (floating point)"><code>++rau:fl</code></a>
1171−<a class="tooltip" href='/docs/hoon/library/3b/#rou-fl' title="Round to nearest float with 113-bit significand"><code>++rou:fl</code></a>
1172−<a class="tooltip" href='/docs/hoon/library/3b/#san-fl' title="Signed integer to float"><code>++san:fl</code></a>
1173−<a class="tooltip" href='/docs/hoon/library/3b/#shf-fl' title="Shift power"><code>++shf:fl</code></a>
1174−<a class="tooltip" href='/docs/hoon/library/3b/#spd-fl' title="Produce smallest denormalized float"><code>++spd:fl</code></a>
1175−<a class="tooltip" href='/docs/hoon/library/3b/#spn-fl' title="Produce smallest normal float"><code>++spn:fl</code></a>
1176−<a class="tooltip" href='/docs/hoon/library/3b/#sqt-fl' title="Produce square root from signed and unsigned integer cell"><code>++sqt:fl</code></a>
1177−<a class="tooltip" href='/docs/hoon/library/3b/#sub-fl' title="Subtract from signed and unsigned integer cells"><code>++sub:fl</code></a>
1178−<a class="tooltip" href='/docs/hoon/library/3b/#sun-fl' title="Unsigned integer to float"><code>++sun:fl</code></a>
1179−<a class="tooltip" href='/docs/hoon/library/3b/#swr-fl' title="Switch rounding mode of floating point"><code>++swr:fl</code></a>
1180−<a class="tooltip" href='/docs/hoon/library/3b/#syn-fl' title="Get sign"><code>++syn:fl</code></a>
1181−<a class="tooltip" href='/docs/hoon/library/3b/#toi-fl' title="Round float to nearest signed integer"><code>++toi:fl</code></a>
1182−<a class="tooltip" href='/docs/hoon/library/3b/#toj-fl' title="Round unsigned and signed integer to float"><code>++toj:fl</code></a>
1183−<a class="tooltip" href='/docs/hoon/library/3b/#uni-fl' title="Change representation to odd"><code>++uni:fl</code></a>
1184−<a class="tooltip" href='/docs/hoon/library/3b/#xpd-fl' title="Expand signed and unsigned integer cell"><code>++xpd:fl</code></a>
1185−<a class="tooltip" href='/docs/hoon/library/3b/#zer-fl' title="Produce zero as float"><code>++zer:fl</code></a>
1186−
1187−<a class="tooltip" href='/docs/hoon/library/3b/#rd'><code>++rd</code></a>
1188−<a class="tooltip" href='/docs/hoon/library/3b/#add-rd' title="Add (double-precision float)"><code>++add:rd</code></a>
1189−<a class="tooltip" href='/docs/hoon/library/3b/#bit-rd' title="fn to double-precision binary float"><code>++bit:rd</code></a>
1190−<a class="tooltip" href='/docs/hoon/library/3b/#div-rd' title="Double precision float"><code>++div:rd</code></a>
1191−<a class="tooltip" href='/docs/hoon/library/3b/#drg-rd' title="@rd to decimal float"><code>++drg:rd</code></a>
1192−<a class="tooltip" href='/docs/hoon/library/3b/#equ-rd' title="Equals (double-precision float)"><code>++equ:rd</code></a>
1193−<a class="tooltip" href='/docs/hoon/library/3b/#exp-rd' title="Exponent (@rd)"><code>++exp:rd</code></a>
1194−<a class="tooltip" href='/docs/hoon/library/3b/#fma-rd' title="Fused multiply-add (@rd)"><code>++fma:rd</code></a>
1195−<a class="tooltip" href='/docs/hoon/library/3b/#grd-rd' title="Decimal float to @rd"><code>++grd:rd</code></a>
1196−<a class="tooltip" href='/docs/hoon/library/3b/#gte-rd' title="Greater than / equal (double-precision float)"><code>++gte:rd</code></a>
1197−<a class="tooltip" href='/docs/hoon/library/3b/#gth-rd' title="Greater than (double-precision float)"><code>++gth:rd</code></a>
1198−<a class="tooltip" href='/docs/hoon/library/3b/#lte-rd' title="Less than / equal (double-precision float)"><code>++lte:rd</code></a>
1199−<a class="tooltip" href='/docs/hoon/library/3b/#lth-rd' title="Less than (double-precision float)"><code>++lth:rd</code></a>
1200−<a class="tooltip" href='/docs/hoon/library/3b/#ma-rd' title="Initialize ff (rd core)"><code>++ma:rd</code></a>
1201−<a class="tooltip" href='/docs/hoon/library/3b/#mul-rd' title="Multiply (double-precision float)"><code>++mul:rd</code></a>
1202−<a class="tooltip" href='/docs/hoon/library/3b/#san-rd' title="Unsigned integer to @rd"><code>++san:rd</code></a>
1203−<a class="tooltip" href='/docs/hoon/library/3b/#sea-rd' title="Convert from double-precision binary float to fn"><code>++sea:rd</code></a>
1204−<a class="tooltip" href='/docs/hoon/library/3b/#sig-rd' title="Produce sign of @rd"><code>++sig:rd</code></a>
1205−<a class="tooltip" href='/docs/hoon/library/3b/#sqt-rd' title="Produce square root of double-precision float"><code>++sqt:rd</code></a>
1206−<a class="tooltip" href='/docs/hoon/library/3b/#sub-rd' title="Subtract from double-precision float"><code>++sub:rd</code></a>
1207−<a class="tooltip" href='/docs/hoon/library/3b/#sun-rd' title="Unsigned integer to double-precision float"><code>++sun:rd</code></a>
1208−<a class="tooltip" href='/docs/hoon/library/3b/#toi-rd' title="Round double-precision float to nearest signed integer"><code>++toi:rd</code></a>
1209−
1210−<a class="tooltip" href='/docs/hoon/library/3b/#rh'><code>++rh</code></a>
1211−<a class="tooltip" href='/docs/hoon/library/3b/#add-rh' title="Add (half-precision float)"><code>++add:rh</code></a>
1212−<a class="tooltip" href='/docs/hoon/library/3b/#bit-rh' title="fn to half-precision float"><code>++bit:rh</code></a>
1213−<a class="tooltip" href='/docs/hoon/library/3b/#div-rh' title="Divide (half-precision float)"><code>++div:rh</code></a>
1214−<a class="tooltip" href='/docs/hoon/library/3b/#drg-rh' title="@rh to decimal float"><code>++drg:rh</code></a>
1215−<a class="tooltip" href='/docs/hoon/library/3b/#equ-rh' title="Equals (half-precision float)"><code>++equ:rh</code></a>
1216−<a class="tooltip" href='/docs/hoon/library/3b/#exp-rh' title="Exponent (half-precision float)"><code>++exp:rh</code></a>
1217−<a class="tooltip" href='/docs/hoon/library/3b/#fma-rh' title="Fused multiply-add (half-precision float)"><code>++fma:rh</code></a>
1218−<a class="tooltip" href='/docs/hoon/library/3b/#fos-rh' title="@rs to @rh"><code>++fos:rh</code></a>
1219−<a class="tooltip" href='/docs/hoon/library/3b/#grd-rh' title="Decimal float to @rh"><code>++grd:rh</code></a>
1220−<a class="tooltip" href='/docs/hoon/library/3b/#gte-rh' title="Greater than / equal (half-precision float)"><code>++gte:rh</code></a>
1221−<a class="tooltip" href='/docs/hoon/library/3b/#gth-rh' title="Greater than (half-precision float)"><code>++gth:rh</code></a>
1222−<a class="tooltip" href='/docs/hoon/library/3b/#lte-rh' title="Less than / equal (half-precision float)"><code>++lte:rh</code></a>
1223−<a class="tooltip" href='/docs/hoon/library/3b/#lth-rh' title="Less than (half-precision float)"><code>++lth:rh</code></a>
1224−<a class="tooltip" href='/docs/hoon/library/3b/#ma-rh' title="Initialize ff (rh core)"><code>++ma:rh</code></a>
1225−<a class="tooltip" href='/docs/hoon/library/3b/#mul-rh' title="Multiply (quad-precision float)"><code>++mul:rh</code></a>
1226−<a class="tooltip" href='/docs/hoon/library/3b/#san-rh' title="Signed integer to @rh"><code>++san:rh</code></a>
1227−<a class="tooltip" href='/docs/hoon/library/3b/#sea-rh' title="Convert from half-precision float to fn"><code>++sea:rh</code></a>
1228−<a class="tooltip" href='/docs/hoon/library/3b/#sig-rh' title="Produce sign of half-precision float"><code>++sig:rh</code></a>
1229−<a class="tooltip" href='/docs/hoon/library/3b/#sqt-rh' title="Produce square root of half-precision float"><code>++sqt:rh</code></a>
1230−<a class="tooltip" href='/docs/hoon/library/3b/#sub-rh' title="Subtract from half-precision float"><code>++sub:rh</code></a>
1231−<a class="tooltip" href='/docs/hoon/library/3b/#sun-rh' title="Unsigned integer to half-precision float"><code>++sun:rh</code></a>
1232−<a class="tooltip" href='/docs/hoon/library/3b/#toi-rh' title="Round half-precision float to nearest signed integer"><code>++toi:rh</code></a>
1233−<a class="tooltip" href='/docs/hoon/library/3b/#tos-rh' title="Convert half-precision float to single-precision float"><code>++tos:rh</code></a>
1234−
1235−<a class="tooltip" href='/docs/hoon/library/3b/#rs'><code>++rs</code></a>
1236−<a class="tooltip" href='/docs/hoon/library/3b/#add-rs' title="Add (single-precision float)"><code>++add:rs</code></a>
1237−<a class="tooltip" href='/docs/hoon/library/3b/#bit-rs' title="fn to single-precision float"><code>++bit:rs</code></a>
1238−<a class="tooltip" href='/docs/hoon/library/3b/#div-rs' title="Divide (single-precision float)"><code>++div:rs</code></a>
1239−<a class="tooltip" href='/docs/hoon/library/3b/#drg-rs' title="@rs to decimal float"><code>++drg:rs</code></a>
1240−<a class="tooltip" href='/docs/hoon/library/3b/#equ-rs' title="Equals (single-precision float)"><code>++equ:rs</code></a>
1241−<a class="tooltip" href='/docs/hoon/library/3b/#exp-rs' title="Exponent (@rs)"><code>++exp:rs</code></a>
1242−<a class="tooltip" href='/docs/hoon/library/3b/#fma-rs' title="Fused multiply-add (single-precision float)"><code>++fma:rs</code></a>
1243−<a class="tooltip" href='/docs/hoon/library/3b/#grd-rs' title="Decimal float to @rs"><code>++grd:rs</code></a>
1244−<a class="tooltip" href='/docs/hoon/library/3b/#gte-rs' title="Greater than / equal (single-precision float)"><code>++gte:rs</code></a>
1245−<a class="tooltip" href='/docs/hoon/library/3b/#gth-rs' title="Greater than (single-precision float)"><code>++gth:rs</code></a>
1246−<a class="tooltip" href='/docs/hoon/library/3b/#lte-rs' title="Less than / equal (single-precision float)"><code>++lte:rs</code></a>
1247−<a class="tooltip" href='/docs/hoon/library/3b/#lth-rs' title="Less than (single-precision float)"><code>++lth:rs</code></a>
1248−<a class="tooltip" href='/docs/hoon/library/3b/#ma-rs' title="Initialize ff (rs core)"><code>++ma:rs</code></a>
1249−<a class="tooltip" href='/docs/hoon/library/3b/#mul-rs' title="Multiply (single-precision float)"><code>++mul:rs</code></a>
1250−<a class="tooltip" href='/docs/hoon/library/3b/#san-rs' title="Signed integer to @rs"><code>++san:rs</code></a>
1251−<a class="tooltip" href='/docs/hoon/library/3b/#sea-rs' title="Convert from single-precision float to fn"><code>++sea:rs</code></a>
1252−<a class="tooltip" href='/docs/hoon/library/3b/#sig-rs' title="Produce sign of @rs"><code>++sig:rs</code></a>
1253−<a class="tooltip" href='/docs/hoon/library/3b/#sqt-rs' title="Produce square root of single-precision float"><code>++sqt:rs</code></a>
1254−<a class="tooltip" href='/docs/hoon/library/3b/#sub-rs' title="Subtract from single-precision float"><code>++sub:rs</code></a>
1255−<a class="tooltip" href='/docs/hoon/library/3b/#sun-rs' title="Unsigned integer to single-precision float"><code>++sun:rs</code></a>
1256−<a class="tooltip" href='/docs/hoon/library/3b/#toi-rs' title="Round single-precision float to nearest signed integer"><code>++toi:rs</code></a>
1257−
1258−<a class="tooltip" href='/docs/hoon/library/3b/#rq'><code>++rq</code></a>
1259−<a class="tooltip" href='/docs/hoon/library/3b/#add-rq' title="Add (quad-precision float)"><code>++add:rq</code></a>
1260−<a class="tooltip" href='/docs/hoon/library/3b/#bit-rq' title="fn to quad-precision float"><code>++bit:rq</code></a>
1261−<a class="tooltip" href='/docs/hoon/library/3b/#div-rq' title="Divide (quad-precision float)"><code>++div:rq</code></a>
1262−<a class="tooltip" href='/docs/hoon/library/3b/#drg-rq' title="@rq to decimal float"><code>++drg:rq</code></a>
1263−<a class="tooltip" href='/docs/hoon/library/3b/#equ-rq' title="Equals (quad-precision float)"><code>++equ:rq</code></a>
1264−<a class="tooltip" href='/docs/hoon/library/3b/#exp-rq' title="Exponent (quad-precision float)"><code>++exp:rq</code></a>
1265−<a class="tooltip" href='/docs/hoon/library/3b/#fma-rq' title="Fused multiply-add (quad-precision float)"><code>++fma:rq</code></a>
1266−<a class="tooltip" href='/docs/hoon/library/3b/#grd-rq' title="Decimal float to @rq"><code>++grd:rq</code></a>
1267−<a class="tooltip" href='/docs/hoon/library/3b/#gte-rq' title="Greater than / equal (quad-precision float)"><code>++gte:rq</code></a>
1268−<a class="tooltip" href='/docs/hoon/library/3b/#gth-rq' title="Greater than (quad-precision float)"><code>++gth:rq</code></a>
1269−<a class="tooltip" href='/docs/hoon/library/3b/#lte-rq' title="Less than / equal (quad-precision float)"><code>++lte:rq</code></a>
1270−<a class="tooltip" href='/docs/hoon/library/3b/#lth-rq' title="Less than (quad-precision float)"><code>++lth:rq</code></a>
1271−<a class="tooltip" href='/docs/hoon/library/3b/#ma-rq' title="Initialize ff (rq core)"><code>++ma:rq</code></a>
1272−<a class="tooltip" href='/docs/hoon/library/3b/#mul-rq' title="Multiply (quad-precision float)"><code>++mul:rq</code></a>
1273−<a class="tooltip" href='/docs/hoon/library/3b/#san-rq' title="Signed integer to @rq"><code>++san:rq</code></a>
1274−<a class="tooltip" href='/docs/hoon/library/3b/#sea-rq' title="Convert from quad-precision float to fn"><code>++sea:rq</code></a>
1275−<a class="tooltip" href='/docs/hoon/library/3b/#sig-rq' title="Produce sign of quad-precision float"><code>++sig:rq</code></a>
1276−<a class="tooltip" href='/docs/hoon/library/3b/#sqt-rq' title="Produce square root of quad-precision float"><code>++sqt:rq</code></a>
1277−<a class="tooltip" href='/docs/hoon/library/3b/#sub-rq' title="Subtract from quad-precision float"><code>++sub:rq</code></a>
1278−<a class="tooltip" href='/docs/hoon/library/3b/#sun-rq' title="Unsigned integer to quad-precision float"><code>++sun:rq</code></a>
1279−<a class="tooltip" href='/docs/hoon/library/3b/#toi-rq' title="Round quad-precision float to nearest signed integer"><code>++toi:rq</code></a>
1280−
1281−<a class="tooltip" href='/docs/hoon/library/3b/#rlyd'><code>++rlyd</code></a>
1282−<a class="tooltip" href='/docs/hoon/library/3b/#rlyh'><code>++rlyh</code></a>
1283−<a class="tooltip" href='/docs/hoon/library/3b/#rlyq'><code>++rlyq</code></a>
1284−<a class="tooltip" href='/docs/hoon/library/3b/#rlys'><code>++rlys</code></a>
1285−<a class="tooltip" href='/docs/hoon/library/3b/#ryld'><code>++ryld</code></a>
1286−<a class="tooltip" href='/docs/hoon/library/3b/#rylh'><code>++rylh</code></a>
1287−<a class="tooltip" href='/docs/hoon/library/3b/#rylq'><code>++rylq</code></a>
1288−<a class="tooltip" href='/docs/hoon/library/3b/#ryls'><code>++ryls</code></a>
1114+<a class="tooltip" href='/docs/reference/library/3b/#dn'><code>++dn</code></a>
1115+<a class="tooltip" href='/docs/reference/library/3b/#fn'><code>++fn</code></a>
1116+<a class="tooltip" href='/docs/reference/library/3b/#rn'><code>++rn</code></a>
1117+
1118+<a class="tooltip" href='/docs/reference/library/3b/#ff'><code>++ff</code></a>
1119+<a class="tooltip" href='/docs/reference/library/3b/#add-ff' title="Add (floating point)"><code>++add:ff</code></a>
1120+<a class="tooltip" href='/docs/reference/library/3b/#bif-ff' title="Converts from fn to @r"><code>++bif:ff</code></a>
1121+<a class="tooltip" href='/docs/reference/library/3b/#bit-ff' title="fn to @r with rounding"><code>++bit:ff</code></a>
1122+<a class="tooltip" href='/docs/reference/library/3b/#div-ff' title="Divide (IEEE float)"><code>++div:ff</code></a>
1123+<a class="tooltip" href='/docs/reference/library/3b/#drg-ff' title="@r to decimal float"><code>++drg:ff</code></a>
1124+<a class="tooltip" href='/docs/reference/library/3b/#equ-ff' title="Equals (IEEE float)"><code>++equ:ff</code></a>
1125+<a class="tooltip" href='/docs/reference/library/3b/#exp-ff' title="Get exponent (IEEE float)"><code>++exp:ff</code></a>
1126+<a class="tooltip" href='/docs/reference/library/3b/#fma-ff' title="Fused multiply-add (IEEE float)"><code>++fma:ff</code></a>
1127+<a class="tooltip" href='/docs/reference/library/3b/#grd-ff' title="Decimal float to @r"><code>++grd:ff</code></a>
1128+<a class="tooltip" href='/docs/reference/library/3b/#gte-ff' title="Greater than / equal (IEEE float)"><code>++gte:ff</code></a>
1129+<a class="tooltip" href='/docs/reference/library/3b/#gth-ff' title="Greater than (IEEE float)"><code>++gth:ff</code></a>
1130+<a class="tooltip" href='/docs/reference/library/3b/#lte-ff' title="Less than / equal (IEEE float)"><code>++lte:ff</code></a>
1131+<a class="tooltip" href='/docs/reference/library/3b/#lth-ff' title="Less than (IEEE float)"><code>++lth:ff</code></a>
1132+<a class="tooltip" href='/docs/reference/library/3b/#me-ff' title="Minimum exponent of ff"><code>++me:ff</code></a>
1133+<a class="tooltip" href='/docs/reference/library/3b/#mul-ff' title="Multiply (IEEE float)"><code>++mul:ff</code></a>
1134+<a class="tooltip" href='/docs/reference/library/3b/#pa-ff' title="Initialize fl from ff core"><code>++pa:ff</code></a>
1135+<a class="tooltip" href='/docs/reference/library/3b/#san-ff' title="Signed integer to @r"><code>++san:ff</code></a>
1136+<a class="tooltip" href='/docs/reference/library/3b/#sb-ff' title="Sign bit"><code>++sb:ff</code></a>
1137+<a class="tooltip" href='/docs/reference/library/3b/#sea-ff' title="Convert from IEEE float to fn"><code>++sea:ff</code></a>
1138+<a class="tooltip" href='/docs/reference/library/3b/#sig-ff' title="Produce sign of IEEE float"><code>++sig:ff</code></a>
1139+<a class="tooltip" href='/docs/reference/library/3b/#sqt-ff' title="Produce square root from IEEE float"><code>++sqt:ff</code></a>
1140+<a class="tooltip" href='/docs/reference/library/3b/#sub-ff' title="Subtract from IEEE float"><code>++sub:ff</code></a>
1141+<a class="tooltip" href='/docs/reference/library/3b/#sun-ff' title="Unsigned integer to IEEE float"><code>++sun:ff</code></a>
1142+<a class="tooltip" href='/docs/reference/library/3b/#toi-ff' title="Round IEEE float to nearest signed integer"><code>++toi:ff</code></a>
1143+
1144+<a class="tooltip" href='/docs/reference/library/3b/#fl'><code>++fl</code></a>
1145+<a class="tooltip" href='/docs/reference/library/3b/#abs-fl' title="Absolute value"><code>++abs:fl</code></a>
1146+<a class="tooltip" href='/docs/reference/library/3b/#add-fl' title="Add (with exact/rounded flag)"><code>++add:fl</code></a>
1147+<a class="tooltip" href='/docs/reference/library/3b/#den-fl' title="Denormalizes (floating point)"><code>++den:fl</code></a>
1148+<a class="tooltip" href='/docs/reference/library/3b/#div-fl' title="Divide (signed and unsigned integer cell)"><code>++div:fl</code></a>
1149+<a class="tooltip" href='/docs/reference/library/3b/#drg-fl' title="Get printable decimal (signed and unsigned integer cell)"><code>++drg:fl</code></a>
1150+<a class="tooltip" href='/docs/reference/library/3b/#ead-fl' title="Exact add"><code>++ead:fl</code></a>
1151+<a class="tooltip" href='/docs/reference/library/3b/#emn-fl' title="Minimum exponent"><code>++emn:fl</code></a>
1152+<a class="tooltip" href='/docs/reference/library/3b/#emu-fl' title="Exact multiply"><code>++emu:fl</code></a>
1153+<a class="tooltip" href='/docs/reference/library/3b/#emx-fl' title="Maximum exponent"><code>++emx:fl</code></a>
1154+<a class="tooltip" href='/docs/reference/library/3b/#equ-fl' title="Equals (signed and unsigned integer cell)"><code>++equ:fl</code></a>
1155+<a class="tooltip" href='/docs/reference/library/3b/#fli-fl' title="Flip sign"><code>++fli:fl</code></a>
1156+<a class="tooltip" href='/docs/reference/library/3b/#fma-fl' title="Fused multiply-add"><code>++fma:fl</code></a>
1157+<a class="tooltip" href='/docs/reference/library/3b/#grd-fl' title="Decimal to float"><code>++grd:fl</code></a>
1158+<a class="tooltip" href='/docs/reference/library/3b/#gte-fl' title="Greater than / equal (producing flag)"><code>++gte:fl</code></a>
1159+<a class="tooltip" href='/docs/reference/library/3b/#gth-fl' title="Greater than (producing flag)"><code>++gth:fl</code></a>
1160+<a class="tooltip" href='/docs/reference/library/3b/#ibl-fl' title="Integer binary logarithm"><code>++ibl:fl</code></a>
1161+<a class="tooltip" href='/docs/reference/library/3b/#inv-fl' title="Inverse"><code>++inv:fl</code></a>
1162+<a class="tooltip" href='/docs/reference/library/3b/#lfe-fl' title="Maximum"><code>++lfe:fl</code></a>
1163+<a class="tooltip" href='/docs/reference/library/3b/#lfn-fl' title="Largest normal float"><code>++lfn:fl</code></a>
1164+<a class="tooltip" href='/docs/reference/library/3b/#lte-fl' title="Less than / equal (producing flag)"><code>++lte:fl</code></a>
1165+<a class="tooltip" href='/docs/reference/library/3b/#lth-fl' title="Less than (signed and unsigned integer cell)"><code>++lth:fl</code></a>
1166+<a class="tooltip" href='/docs/reference/library/3b/#lug-fl' title="Central rounding mechanism"><code>++lug:fl</code></a>
1167+<a class="tooltip" href='/docs/reference/library/3b/#mul-fl' title="Multiply (signed and unsigned integer cell)"><code>++mul:fl</code></a>
1168+<a class="tooltip" href='/docs/reference/library/3b/#ned-fl' title="Require float"><code>++ned:fl</code></a>
1169+<a class="tooltip" href='/docs/reference/library/3b/#prc-fl' title="Force precision of 2 or greater (floating point)"><code>++prc:fl</code></a>
1170+<a class="tooltip" href='/docs/reference/library/3b/#rau-fl' title="Various roundings (floating point)"><code>++rau:fl</code></a>
1171+<a class="tooltip" href='/docs/reference/library/3b/#rou-fl' title="Round to nearest float with 113-bit significand"><code>++rou:fl</code></a>
1172+<a class="tooltip" href='/docs/reference/library/3b/#san-fl' title="Signed integer to float"><code>++san:fl</code></a>
1173+<a class="tooltip" href='/docs/reference/library/3b/#shf-fl' title="Shift power"><code>++shf:fl</code></a>
1174+<a class="tooltip" href='/docs/reference/library/3b/#spd-fl' title="Produce smallest denormalized float"><code>++spd:fl</code></a>
1175+<a class="tooltip" href='/docs/reference/library/3b/#spn-fl' title="Produce smallest normal float"><code>++spn:fl</code></a>
1176+<a class="tooltip" href='/docs/reference/library/3b/#sqt-fl' title="Produce square root from signed and unsigned integer cell"><code>++sqt:fl</code></a>
1177+<a class="tooltip" href='/docs/reference/library/3b/#sub-fl' title="Subtract from signed and unsigned integer cells"><code>++sub:fl</code></a>
1178+<a class="tooltip" href='/docs/reference/library/3b/#sun-fl' title="Unsigned integer to float"><code>++sun:fl</code></a>
1179+<a class="tooltip" href='/docs/reference/library/3b/#swr-fl' title="Switch rounding mode of floating point"><code>++swr:fl</code></a>
1180+<a class="tooltip" href='/docs/reference/library/3b/#syn-fl' title="Get sign"><code>++syn:fl</code></a>
1181+<a class="tooltip" href='/docs/reference/library/3b/#toi-fl' title="Round float to nearest signed integer"><code>++toi:fl</code></a>
1182+<a class="tooltip" href='/docs/reference/library/3b/#toj-fl' title="Round unsigned and signed integer to float"><code>++toj:fl</code></a>
1183+<a class="tooltip" href='/docs/reference/library/3b/#uni-fl' title="Change representation to odd"><code>++uni:fl</code></a>
1184+<a class="tooltip" href='/docs/reference/library/3b/#xpd-fl' title="Expand signed and unsigned integer cell"><code>++xpd:fl</code></a>
1185+<a class="tooltip" href='/docs/reference/library/3b/#zer-fl' title="Produce zero as float"><code>++zer:fl</code></a>
1186+
1187+<a class="tooltip" href='/docs/reference/library/3b/#rd'><code>++rd</code></a>
1188+<a class="tooltip" href='/docs/reference/library/3b/#add-rd' title="Add (double-precision float)"><code>++add:rd</code></a>
1189+<a class="tooltip" href='/docs/reference/library/3b/#bit-rd' title="fn to double-precision binary float"><code>++bit:rd</code></a>
1190+<a class="tooltip" href='/docs/reference/library/3b/#div-rd' title="Double precision float"><code>++div:rd</code></a>
1191+<a class="tooltip" href='/docs/reference/library/3b/#drg-rd' title="@rd to decimal float"><code>++drg:rd</code></a>
1192+<a class="tooltip" href='/docs/reference/library/3b/#equ-rd' title="Equals (double-precision float)"><code>++equ:rd</code></a>
1193+<a class="tooltip" href='/docs/reference/library/3b/#exp-rd' title="Exponent (@rd)"><code>++exp:rd</code></a>
1194+<a class="tooltip" href='/docs/reference/library/3b/#fma-rd' title="Fused multiply-add (@rd)"><code>++fma:rd</code></a>
1195+<a class="tooltip" href='/docs/reference/library/3b/#grd-rd' title="Decimal float to @rd"><code>++grd:rd</code></a>
1196+<a class="tooltip" href='/docs/reference/library/3b/#gte-rd' title="Greater than / equal (double-precision float)"><code>++gte:rd</code></a>
1197+<a class="tooltip" href='/docs/reference/library/3b/#gth-rd' title="Greater than (double-precision float)"><code>++gth:rd</code></a>
1198+<a class="tooltip" href='/docs/reference/library/3b/#lte-rd' title="Less than / equal (double-precision float)"><code>++lte:rd</code></a>
1199+<a class="tooltip" href='/docs/reference/library/3b/#lth-rd' title="Less than (double-precision float)"><code>++lth:rd</code></a>
1200+<a class="tooltip" href='/docs/reference/library/3b/#ma-rd' title="Initialize ff (rd core)"><code>++ma:rd</code></a>
1201+<a class="tooltip" href='/docs/reference/library/3b/#mul-rd' title="Multiply (double-precision float)"><code>++mul:rd</code></a>
1202+<a class="tooltip" href='/docs/reference/library/3b/#san-rd' title="Unsigned integer to @rd"><code>++san:rd</code></a>
1203+<a class="tooltip" href='/docs/reference/library/3b/#sea-rd' title="Convert from double-precision binary float to fn"><code>++sea:rd</code></a>
1204+<a class="tooltip" href='/docs/reference/library/3b/#sig-rd' title="Produce sign of @rd"><code>++sig:rd</code></a>
1205+<a class="tooltip" href='/docs/reference/library/3b/#sqt-rd' title="Produce square root of double-precision float"><code>++sqt:rd</code></a>
1206+<a class="tooltip" href='/docs/reference/library/3b/#sub-rd' title="Subtract from double-precision float"><code>++sub:rd</code></a>
1207+<a class="tooltip" href='/docs/reference/library/3b/#sun-rd' title="Unsigned integer to double-precision float"><code>++sun:rd</code></a>
1208+<a class="tooltip" href='/docs/reference/library/3b/#toi-rd' title="Round double-precision float to nearest signed integer"><code>++toi:rd</code></a>
1209+
1210+<a class="tooltip" href='/docs/reference/library/3b/#rh'><code>++rh</code></a>
1211+<a class="tooltip" href='/docs/reference/library/3b/#add-rh' title="Add (half-precision float)"><code>++add:rh</code></a>
1212+<a class="tooltip" href='/docs/reference/library/3b/#bit-rh' title="fn to half-precision float"><code>++bit:rh</code></a>
1213+<a class="tooltip" href='/docs/reference/library/3b/#div-rh' title="Divide (half-precision float)"><code>++div:rh</code></a>
1214+<a class="tooltip" href='/docs/reference/library/3b/#drg-rh' title="@rh to decimal float"><code>++drg:rh</code></a>
1215+<a class="tooltip" href='/docs/reference/library/3b/#equ-rh' title="Equals (half-precision float)"><code>++equ:rh</code></a>
1216+<a class="tooltip" href='/docs/reference/library/3b/#exp-rh' title="Exponent (half-precision float)"><code>++exp:rh</code></a>
1217+<a class="tooltip" href='/docs/reference/library/3b/#fma-rh' title="Fused multiply-add (half-precision float)"><code>++fma:rh</code></a>
1218+<a class="tooltip" href='/docs/reference/library/3b/#fos-rh' title="@rs to @rh"><code>++fos:rh</code></a>
1219+<a class="tooltip" href='/docs/reference/library/3b/#grd-rh' title="Decimal float to @rh"><code>++grd:rh</code></a>
1220+<a class="tooltip" href='/docs/reference/library/3b/#gte-rh' title="Greater than / equal (half-precision float)"><code>++gte:rh</code></a>
1221+<a class="tooltip" href='/docs/reference/library/3b/#gth-rh' title="Greater than (half-precision float)"><code>++gth:rh</code></a>
1222+<a class="tooltip" href='/docs/reference/library/3b/#lte-rh' title="Less than / equal (half-precision float)"><code>++lte:rh</code></a>
1223+<a class="tooltip" href='/docs/reference/library/3b/#lth-rh' title="Less than (half-precision float)"><code>++lth:rh</code></a>
1224+<a class="tooltip" href='/docs/reference/library/3b/#ma-rh' title="Initialize ff (rh core)"><code>++ma:rh</code></a>
1225+<a class="tooltip" href='/docs/reference/library/3b/#mul-rh' title="Multiply (quad-precision float)"><code>++mul:rh</code></a>
1226+<a class="tooltip" href='/docs/reference/library/3b/#san-rh' title="Signed integer to @rh"><code>++san:rh</code></a>
1227+<a class="tooltip" href='/docs/reference/library/3b/#sea-rh' title="Convert from half-precision float to fn"><code>++sea:rh</code></a>
1228+<a class="tooltip" href='/docs/reference/library/3b/#sig-rh' title="Produce sign of half-precision float"><code>++sig:rh</code></a>
1229+<a class="tooltip" href='/docs/reference/library/3b/#sqt-rh' title="Produce square root of half-precision float"><code>++sqt:rh</code></a>
1230+<a class="tooltip" href='/docs/reference/library/3b/#sub-rh' title="Subtract from half-precision float"><code>++sub:rh</code></a>
1231+<a class="tooltip" href='/docs/reference/library/3b/#sun-rh' title="Unsigned integer to half-precision float"><code>++sun:rh</code></a>
1232+<a class="tooltip" href='/docs/reference/library/3b/#toi-rh' title="Round half-precision float to nearest signed integer"><code>++toi:rh</code></a>
1233+<a class="tooltip" href='/docs/reference/library/3b/#tos-rh' title="Convert half-precision float to single-precision float"><code>++tos:rh</code></a>
1234+
1235+<a class="tooltip" href='/docs/reference/library/3b/#rs'><code>++rs</code></a>
1236+<a class="tooltip" href='/docs/reference/library/3b/#add-rs' title="Add (single-precision float)"><code>++add:rs</code></a>
1237+<a class="tooltip" href='/docs/reference/library/3b/#bit-rs' title="fn to single-precision float"><code>++bit:rs</code></a>
1238+<a class="tooltip" href='/docs/reference/library/3b/#div-rs' title="Divide (single-precision float)"><code>++div:rs</code></a>
1239+<a class="tooltip" href='/docs/reference/library/3b/#drg-rs' title="@rs to decimal float"><code>++drg:rs</code></a>
1240+<a class="tooltip" href='/docs/reference/library/3b/#equ-rs' title="Equals (single-precision float)"><code>++equ:rs</code></a>
1241+<a class="tooltip" href='/docs/reference/library/3b/#exp-rs' title="Exponent (@rs)"><code>++exp:rs</code></a>
1242+<a class="tooltip" href='/docs/reference/library/3b/#fma-rs' title="Fused multiply-add (single-precision float)"><code>++fma:rs</code></a>
1243+<a class="tooltip" href='/docs/reference/library/3b/#grd-rs' title="Decimal float to @rs"><code>++grd:rs</code></a>
1244+<a class="tooltip" href='/docs/reference/library/3b/#gte-rs' title="Greater than / equal (single-precision float)"><code>++gte:rs</code></a>
1245+<a class="tooltip" href='/docs/reference/library/3b/#gth-rs' title="Greater than (single-precision float)"><code>++gth:rs</code></a>
1246+<a class="tooltip" href='/docs/reference/library/3b/#lte-rs' title="Less than / equal (single-precision float)"><code>++lte:rs</code></a>
1247+<a class="tooltip" href='/docs/reference/library/3b/#lth-rs' title="Less than (single-precision float)"><code>++lth:rs</code></a>
1248+<a class="tooltip" href='/docs/reference/library/3b/#ma-rs' title="Initialize ff (rs core)"><code>++ma:rs</code></a>
1249+<a class="tooltip" href='/docs/reference/library/3b/#mul-rs' title="Multiply (single-precision float)"><code>++mul:rs</code></a>
1250+<a class="tooltip" href='/docs/reference/library/3b/#san-rs' title="Signed integer to @rs"><code>++san:rs</code></a>
1251+<a class="tooltip" href='/docs/reference/library/3b/#sea-rs' title="Convert from single-precision float to fn"><code>++sea:rs</code></a>
1252+<a class="tooltip" href='/docs/reference/library/3b/#sig-rs' title="Produce sign of @rs"><code>++sig:rs</code></a>
1253+<a class="tooltip" href='/docs/reference/library/3b/#sqt-rs' title="Produce square root of single-precision float"><code>++sqt:rs</code></a>
1254+<a class="tooltip" href='/docs/reference/library/3b/#sub-rs' title="Subtract from single-precision float"><code>++sub:rs</code></a>
1255+<a class="tooltip" href='/docs/reference/library/3b/#sun-rs' title="Unsigned integer to single-precision float"><code>++sun:rs</code></a>
1256+<a class="tooltip" href='/docs/reference/library/3b/#toi-rs' title="Round single-precision float to nearest signed integer"><code>++toi:rs</code></a>
1257+
1258+<a class="tooltip" href='/docs/reference/library/3b/#rq'><code>++rq</code></a>
1259+<a class="tooltip" href='/docs/reference/library/3b/#add-rq' title="Add (quad-precision float)"><code>++add:rq</code></a>
1260+<a class="tooltip" href='/docs/reference/library/3b/#bit-rq' title="fn to quad-precision float"><code>++bit:rq</code></a>
1261+<a class="tooltip" href='/docs/reference/library/3b/#div-rq' title="Divide (quad-precision float)"><code>++div:rq</code></a>
1262+<a class="tooltip" href='/docs/reference/library/3b/#drg-rq' title="@rq to decimal float"><code>++drg:rq</code></a>
1263+<a class="tooltip" href='/docs/reference/library/3b/#equ-rq' title="Equals (quad-precision float)"><code>++equ:rq</code></a>
1264+<a class="tooltip" href='/docs/reference/library/3b/#exp-rq' title="Exponent (quad-precision float)"><code>++exp:rq</code></a>
1265+<a class="tooltip" href='/docs/reference/library/3b/#fma-rq' title="Fused multiply-add (quad-precision float)"><code>++fma:rq</code></a>
1266+<a class="tooltip" href='/docs/reference/library/3b/#grd-rq' title="Decimal float to @rq"><code>++grd:rq</code></a>
1267+<a class="tooltip" href='/docs/reference/library/3b/#gte-rq' title="Greater than / equal (quad-precision float)"><code>++gte:rq</code></a>
1268+<a class="tooltip" href='/docs/reference/library/3b/#gth-rq' title="Greater than (quad-precision float)"><code>++gth:rq</code></a>
1269+<a class="tooltip" href='/docs/reference/library/3b/#lte-rq' title="Less than / equal (quad-precision float)"><code>++lte:rq</code></a>
1270+<a class="tooltip" href='/docs/reference/library/3b/#lth-rq' title="Less than (quad-precision float)"><code>++lth:rq</code></a>
1271+<a class="tooltip" href='/docs/reference/library/3b/#ma-rq' title="Initialize ff (rq core)"><code>++ma:rq</code></a>
1272+<a class="tooltip" href='/docs/reference/library/3b/#mul-rq' title="Multiply (quad-precision float)"><code>++mul:rq</code></a>
1273+<a class="tooltip" href='/docs/reference/library/3b/#san-rq' title="Signed integer to @rq"><code>++san:rq</code></a>
1274+<a class="tooltip" href='/docs/reference/library/3b/#sea-rq' title="Convert from quad-precision float to fn"><code>++sea:rq</code></a>
1275+<a class="tooltip" href='/docs/reference/library/3b/#sig-rq' title="Produce sign of quad-precision float"><code>++sig:rq</code></a>
1276+<a class="tooltip" href='/docs/reference/library/3b/#sqt-rq' title="Produce square root of quad-precision float"><code>++sqt:rq</code></a>
1277+<a class="tooltip" href='/docs/reference/library/3b/#sub-rq' title="Subtract from quad-precision float"><code>++sub:rq</code></a>
1278+<a class="tooltip" href='/docs/reference/library/3b/#sun-rq' title="Unsigned integer to quad-precision float"><code>++sun:rq</code></a>
1279+<a class="tooltip" href='/docs/reference/library/3b/#toi-rq' title="Round quad-precision float to nearest signed integer"><code>++toi:rq</code></a>
1280+
1281+<a class="tooltip" href='/docs/reference/library/3b/#rlyd'><code>++rlyd</code></a>
1282+<a class="tooltip" href='/docs/reference/library/3b/#rlyh'><code>++rlyh</code></a>
1283+<a class="tooltip" href='/docs/reference/library/3b/#rlyq'><code>++rlyq</code></a>
1284+<a class="tooltip" href='/docs/reference/library/3b/#rlys'><code>++rlys</code></a>
1285+<a class="tooltip" href='/docs/reference/library/3b/#ryld'><code>++ryld</code></a>
1286+<a class="tooltip" href='/docs/reference/library/3b/#rylh'><code>++rylh</code></a>
1287+<a class="tooltip" href='/docs/reference/library/3b/#rylq'><code>++rylq</code></a>
1288+<a class="tooltip" href='/docs/reference/library/3b/#ryls'><code>++ryls</code></a>
12891289
12901290### 3c: urbit time
12911291
1292−<a class="tooltip" href='/docs/hoon/library/3c/#yo' title="Time constants core"><code>++yo</code></a>
1293−<a class="tooltip" href='/docs/hoon/library/3c/#cet-yo' title="Days in a century"><code>++cet:yo</code></a>
1294−<a class="tooltip" href='/docs/hoon/library/3c/#day-yo' title="Seconds in day"><code>++day:yo</code></a>
1295−<a class="tooltip" href='/docs/hoon/library/3c/#era-yo' title="Leap-year period"><code>++era:yo</code></a>
1296−<a class="tooltip" href='/docs/hoon/library/3c/#hor-yo' title="Seconds in hour"><code>++hor:yo</code></a>
1297−<a class="tooltip" href='/docs/hoon/library/3c/#jes-yo' title="Maximum 64-bit timestamp"><code>++jes:yo</code></a>
1298−<a class="tooltip" href='/docs/hoon/library/3c/#mit-yo' title="Seconds in minute"><code>++mit:yo</code></a>
1299−<a class="tooltip" href='/docs/hoon/library/3c/#moh-yo' title="Days in month"><code>++moh:yo</code></a>
1300−<a class="tooltip" href='/docs/hoon/library/3c/#moy-yo' title="Days in months of leap-year"><code>++moy:yo</code></a>
1301−<a class="tooltip" href='/docs/hoon/library/3c/#qad-yo' title="Seconds in 4 years"><code>++qad:yo</code></a>
1302−<a class="tooltip" href='/docs/hoon/library/3c/#yer-yo' title="Seconds in year"><code>++yer:yo</code></a>
1303−
1304−<a class="tooltip" href='/docs/hoon/library/3c/#yall' title="Time since beginning of time"><code>++yall</code></a>
1305−<a class="tooltip" href='/docs/hoon/library/3c/#yawn' title="Days since beginning of time"><code>++yawn</code></a>
1306−<a class="tooltip" href='/docs/hoon/library/3c/#year' title="Date to @d"><code>++year</code></a>
1307−<a class="tooltip" href='/docs/hoon/library/3c/#yell' title="Tarp from atomic date"><code>++yell</code></a>
1308−<a class="tooltip" href='/docs/hoon/library/3c/#yelp' title="Determine if leap-week"><code>++yelp</code></a>
1309−<a class="tooltip" href='/docs/hoon/library/3c/#yore' title="Date from atomic date"><code>++yore</code></a>
1310−<a class="tooltip" href='/docs/hoon/library/3c/#yule' title="Daily time to time atom"><code>++yule</code></a>
1292+<a class="tooltip" href='/docs/reference/library/3c/#yo' title="Time constants core"><code>++yo</code></a>
1293+<a class="tooltip" href='/docs/reference/library/3c/#cet-yo' title="Days in a century"><code>++cet:yo</code></a>
1294+<a class="tooltip" href='/docs/reference/library/3c/#day-yo' title="Seconds in day"><code>++day:yo</code></a>
1295+<a class="tooltip" href='/docs/reference/library/3c/#era-yo' title="Leap-year period"><code>++era:yo</code></a>
1296+<a class="tooltip" href='/docs/reference/library/3c/#hor-yo' title="Seconds in hour"><code>++hor:yo</code></a>
1297+<a class="tooltip" href='/docs/reference/library/3c/#jes-yo' title="Maximum 64-bit timestamp"><code>++jes:yo</code></a>
1298+<a class="tooltip" href='/docs/reference/library/3c/#mit-yo' title="Seconds in minute"><code>++mit:yo</code></a>
1299+<a class="tooltip" href='/docs/reference/library/3c/#moh-yo' title="Days in month"><code>++moh:yo</code></a>
1300+<a class="tooltip" href='/docs/reference/library/3c/#moy-yo' title="Days in months of leap-year"><code>++moy:yo</code></a>
1301+<a class="tooltip" href='/docs/reference/library/3c/#qad-yo' title="Seconds in 4 years"><code>++qad:yo</code></a>
1302+<a class="tooltip" href='/docs/reference/library/3c/#yer-yo' title="Seconds in year"><code>++yer:yo</code></a>
1303+
1304+<a class="tooltip" href='/docs/reference/library/3c/#yall' title="Time since beginning of time"><code>++yall</code></a>
1305+<a class="tooltip" href='/docs/reference/library/3c/#yawn' title="Days since beginning of time"><code>++yawn</code></a>
1306+<a class="tooltip" href='/docs/reference/library/3c/#year' title="Date to @d"><code>++year</code></a>
1307+<a class="tooltip" href='/docs/reference/library/3c/#yell' title="Tarp from atomic date"><code>++yell</code></a>
1308+<a class="tooltip" href='/docs/reference/library/3c/#yelp' title="Determine if leap-week"><code>++yelp</code></a>
1309+<a class="tooltip" href='/docs/reference/library/3c/#yore' title="Date from atomic date"><code>++yore</code></a>
1310+<a class="tooltip" href='/docs/reference/library/3c/#yule' title="Daily time to time atom"><code>++yule</code></a>
13111311
13121312### 3d: SHA hash family
13131313
1314−<a class="tooltip" href='/docs/hoon/library/3d/#og' title="Container arm for SHA-256 powered RNG"><code>++og</code></a>
1315−<a class="tooltip" href='/docs/hoon/library/3d/#rad-og' title="Random in range"><code>++rad:og</code></a>
1316−<a class="tooltip" href='/docs/hoon/library/3d/#rads-og' title="Random continuation"><code>++rads:og</code></a>
1317−<a class="tooltip" href='/docs/hoon/library/3d/#raw-og' title="Random bits"><code>++raw:og</code></a>
1318−<a class="tooltip" href='/docs/hoon/library/3d/#raws-og' title="Random bits continuation"><code>++raws:og</code></a>
1319−
1320−<a class="tooltip" href='/docs/hoon/library/3d/#shad' title="Double SHA-256"><code>++shad</code></a>
1321−<a class="tooltip" href='/docs/hoon/library/3d/#shaf' title="Half SHA-256"><code>++shaf</code></a>
1322−<a class="tooltip" href='/docs/hoon/library/3d/#shal' title="SHA-512 with length"><code>++shal</code></a>
1323−<a class="tooltip" href='/docs/hoon/library/3d/#sham' title="128-bit noun hash"><code>++sham</code></a>
1324−<a class="tooltip" href='/docs/hoon/library/3d/#shan' title="SHA-1"><code>++shan</code></a>
1325−<a class="tooltip" href='/docs/hoon/library/3d/#shas' title="Salted hash"><code>++shas</code></a>
1326−<a class="tooltip" href='/docs/hoon/library/3d/#shaw' title="Hash to nbits"><code>++shaw</code></a>
1327−<a class="tooltip" href='/docs/hoon/library/3d/#shax' title="SHA-256"><code>++shax</code></a>
1328−<a class="tooltip" href='/docs/hoon/library/3d/#shay' title="SHA-256 with length"><code>++shay</code></a>
1329−<a class="tooltip" href='/docs/hoon/library/3d/#shaz' title="SHA-512"><code>++shaz</code></a>
1314+<a class="tooltip" href='/docs/reference/library/3d/#og' title="Container arm for SHA-256 powered RNG"><code>++og</code></a>
1315+<a class="tooltip" href='/docs/reference/library/3d/#rad-og' title="Random in range"><code>++rad:og</code></a>
1316+<a class="tooltip" href='/docs/reference/library/3d/#rads-og' title="Random continuation"><code>++rads:og</code></a>
1317+<a class="tooltip" href='/docs/reference/library/3d/#raw-og' title="Random bits"><code>++raw:og</code></a>
1318+<a class="tooltip" href='/docs/reference/library/3d/#raws-og' title="Random bits continuation"><code>++raws:og</code></a>
1319+
1320+<a class="tooltip" href='/docs/reference/library/3d/#shad' title="Double SHA-256"><code>++shad</code></a>
1321+<a class="tooltip" href='/docs/reference/library/3d/#shaf' title="Half SHA-256"><code>++shaf</code></a>
1322+<a class="tooltip" href='/docs/reference/library/3d/#shal' title="SHA-512 with length"><code>++shal</code></a>
1323+<a class="tooltip" href='/docs/reference/library/3d/#sham' title="128-bit noun hash"><code>++sham</code></a>
1324+<a class="tooltip" href='/docs/reference/library/3d/#shan' title="SHA-1"><code>++shan</code></a>
1325+<a class="tooltip" href='/docs/reference/library/3d/#shas' title="Salted hash"><code>++shas</code></a>
1326+<a class="tooltip" href='/docs/reference/library/3d/#shaw' title="Hash to nbits"><code>++shaw</code></a>
1327+<a class="tooltip" href='/docs/reference/library/3d/#shax' title="SHA-256"><code>++shax</code></a>
1328+<a class="tooltip" href='/docs/reference/library/3d/#shay' title="SHA-256 with length"><code>++shay</code></a>
1329+<a class="tooltip" href='/docs/reference/library/3d/#shaz' title="SHA-512"><code>++shaz</code></a>
13301330
13311331### 3e: AES encryption
13321332
1333−<a href='/docs/hoon/library/3e/'>_(removed)_</a>
1333+<a href='/docs/reference/library/3e/'>_(removed)_</a>
13341334
13351335### 3f: scrambling
13361336
1337−<a class="tooltip" href='/docs/hoon/library/3f/#ob' title="Reversible scrambling v2"><code>++ob</code></a>
1338−<a class="tooltip" href='/docs/hoon/library/3f/#feen-ob' title="Conceal structure v2"><code>++feen:ob</code></a>
1339−<a class="tooltip" href='/docs/hoon/library/3f/#fend-ob' title="Restore structure v2"><code>++fend:ob</code></a>
1340−<a class="tooltip" href='/docs/hoon/library/3f/#fice-ob' title="Feistel-like cipher"><code>++fice:ob</code></a>
1341−<a class="tooltip" href='/docs/hoon/library/3f/#raku-ob' title="Key list"><code>++raku:ob</code></a>
1342−<a class="tooltip" href='/docs/hoon/library/3f/#rund-ob' title="Reverse single Feistel-like"><code>++rund:ob</code></a>
1343−<a class="tooltip" href='/docs/hoon/library/3f/#rynd-ob' title="Reverse Feistel-like cipher"><code>++rynd:ob</code></a>
1344−<a class="tooltip" href='/docs/hoon/library/3f/#teil-ob' title="Reverse Feistel-like cipher"><code>++teil:ob</code></a>
1345−
1346−<a class="tooltip" href='/docs/hoon/library/3f/#un' title="Reversible scrambling"><code>++un</code></a>
1347−<a class="tooltip" href='/docs/hoon/library/3f/#wred-un' title="Restore structure"><code>++wred:un</code></a>
1348−<a class="tooltip" href='/docs/hoon/library/3f/#wren-un' title="Conceal structure"><code>++wren:un</code></a>
1349−<a class="tooltip" href='/docs/hoon/library/3f/#xafo-un'><code>++xafo:un</code></a>
1350−<a class="tooltip" href='/docs/hoon/library/3f/#xaro-un'><code>++xaro:un</code></a>
1351−<a class="tooltip" href='/docs/hoon/library/3f/#zaft-un' title="Look up in 255 sub box"><code>++zaft:un</code></a>
1352−<a class="tooltip" href='/docs/hoon/library/3f/#zart-un' title="Reverse look up in 255 sub box"><code>++zart:un</code></a>
1353−<a class="tooltip" href='/docs/hoon/library/3f/#zyft-un' title="Lookup byte in 256 sub box"><code>++zyft:un</code></a>
1354−<a class="tooltip" href='/docs/hoon/library/3f/#zyrt-un' title="Reverse lookup byte in 256 sub box"><code>++zyrt:un</code></a>
1337+<a class="tooltip" href='/docs/reference/library/3f/#ob' title="Reversible scrambling v2"><code>++ob</code></a>
1338+<a class="tooltip" href='/docs/reference/library/3f/#feen-ob' title="Conceal structure v2"><code>++feen:ob</code></a>
1339+<a class="tooltip" href='/docs/reference/library/3f/#fend-ob' title="Restore structure v2"><code>++fend:ob</code></a>
1340+<a class="tooltip" href='/docs/reference/library/3f/#fice-ob' title="Feistel-like cipher"><code>++fice:ob</code></a>
1341+<a class="tooltip" href='/docs/reference/library/3f/#raku-ob' title="Key list"><code>++raku:ob</code></a>
1342+<a class="tooltip" href='/docs/reference/library/3f/#rund-ob' title="Reverse single Feistel-like"><code>++rund:ob</code></a>
1343+<a class="tooltip" href='/docs/reference/library/3f/#rynd-ob' title="Reverse Feistel-like cipher"><code>++rynd:ob</code></a>
1344+<a class="tooltip" href='/docs/reference/library/3f/#teil-ob' title="Reverse Feistel-like cipher"><code>++teil:ob</code></a>
1345+
1346+<a class="tooltip" href='/docs/reference/library/3f/#un' title="Reversible scrambling"><code>++un</code></a>
1347+<a class="tooltip" href='/docs/reference/library/3f/#wred-un' title="Restore structure"><code>++wred:un</code></a>
1348+<a class="tooltip" href='/docs/reference/library/3f/#wren-un' title="Conceal structure"><code>++wren:un</code></a>
1349+<a class="tooltip" href='/docs/reference/library/3f/#xafo-un'><code>++xafo:un</code></a>
1350+<a class="tooltip" href='/docs/reference/library/3f/#xaro-un'><code>++xaro:un</code></a>
1351+<a class="tooltip" href='/docs/reference/library/3f/#zaft-un' title="Look up in 255 sub box"><code>++zaft:un</code></a>
1352+<a class="tooltip" href='/docs/reference/library/3f/#zart-un' title="Reverse look up in 255 sub box"><code>++zart:un</code></a>
1353+<a class="tooltip" href='/docs/reference/library/3f/#zyft-un' title="Lookup byte in 256 sub box"><code>++zyft:un</code></a>
1354+<a class="tooltip" href='/docs/reference/library/3f/#zyrt-un' title="Reverse lookup byte in 256 sub box"><code>++zyrt:un</code></a>
13551355
13561356### 3g: molds and mold builders
13571357
1358−<a class="tooltip" href='/docs/hoon/library/3g/#coin' title="Noun-literal syntax cases"><code>++coin</code></a>
1359−<a class="tooltip" href='/docs/hoon/library/3g/#dime' title="Aura-atom pair"><code>++dime</code></a>
1360−<a class="tooltip" href='/docs/hoon/library/3g/#edge' title="Parsing location metadata"><code>++edge</code></a>
1361−<a class="tooltip" href='/docs/hoon/library/3g/#hair' title="Parsing line and column"><code>++hair</code></a>
1362−<a class="tooltip" href='/docs/hoon/library/3g/#like' title="Generic edge"><code>++like</code></a>
1363−<a class="tooltip" href='/docs/hoon/library/3g/#nail' title="Location, remainder of parsed text"><code>++nail</code></a>
1364−<a class="tooltip" href='/docs/hoon/library/3g/#path' title="Filesystem path"><code>++path</code></a>
1365−<a class="tooltip" href='/docs/hoon/library/3g/#pint' title="Parsing range"><code>++pint</code></a>
1366−<a class="tooltip" href='/docs/hoon/library/3g/#rule' title="Parsing rule (match this with _)"><code>++rule</code></a>
1367−<a class="tooltip" href='/docs/hoon/library/3g/#spot' title="Stack trace line"><code>++spot</code></a>
1368−<a class="tooltip" href='/docs/hoon/library/3g/#tone' title="Nock result (error report)"><code>++tone</code></a>
1369−<a class="tooltip" href='/docs/hoon/library/3g/#toon' title="Nock result (stack trace)"><code>++toon</code></a>
1370−<a class="tooltip" href='/docs/hoon/library/3g/#wonk' title="Product from edge"><code>++wonk</code></a>
1358+<a class="tooltip" href='/docs/reference/library/3g/#coin' title="Noun-literal syntax cases"><code>++coin</code></a>
1359+<a class="tooltip" href='/docs/reference/library/3g/#dime' title="Aura-atom pair"><code>++dime</code></a>
1360+<a class="tooltip" href='/docs/reference/library/3g/#edge' title="Parsing location metadata"><code>++edge</code></a>
1361+<a class="tooltip" href='/docs/reference/library/3g/#hair' title="Parsing line and column"><code>++hair</code></a>
1362+<a class="tooltip" href='/docs/reference/library/3g/#like' title="Generic edge"><code>++like</code></a>
1363+<a class="tooltip" href='/docs/reference/library/3g/#nail' title="Location, remainder of parsed text"><code>++nail</code></a>
1364+<a class="tooltip" href='/docs/reference/library/3g/#path' title="Filesystem path"><code>++path</code></a>
1365+<a class="tooltip" href='/docs/reference/library/3g/#pint' title="Parsing range"><code>++pint</code></a>
1366+<a class="tooltip" href='/docs/reference/library/3g/#rule' title="Parsing rule (match this with _)"><code>++rule</code></a>
1367+<a class="tooltip" href='/docs/reference/library/3g/#spot' title="Stack trace line"><code>++spot</code></a>
1368+<a class="tooltip" href='/docs/reference/library/3g/#tone' title="Nock result (error report)"><code>++tone</code></a>
1369+<a class="tooltip" href='/docs/reference/library/3g/#toon' title="Nock result (stack trace)"><code>++toon</code></a>
1370+<a class="tooltip" href='/docs/reference/library/3g/#wonk' title="Product from edge"><code>++wonk</code></a>
13711371
13721372### 4a: exotic bases
13731373
1374−<a class="tooltip" href='/docs/hoon/library/4a/#po' title="Phonetic base"><code>++po</code></a>
1375−<a class="tooltip" href='/docs/hoon/library/4a/#ind-po' title="Parse suffix"><code>++ind:po</code></a>
1376−<a class="tooltip" href='/docs/hoon/library/4a/#ins-po' title="Parse prefix"><code>++ins:po</code></a>
1377−<a class="tooltip" href='/docs/hoon/library/4a/#tod-po' title="Fetch suffix"><code>++tod:po</code></a>
1378−<a class="tooltip" href='/docs/hoon/library/4a/#tos-po' title="Fetch prefix"><code>++tos:po</code></a>
1374+<a class="tooltip" href='/docs/reference/library/4a/#po' title="Phonetic base"><code>++po</code></a>
1375+<a class="tooltip" href='/docs/reference/library/4a/#ind-po' title="Parse suffix"><code>++ind:po</code></a>
1376+<a class="tooltip" href='/docs/reference/library/4a/#ins-po' title="Parse prefix"><code>++ins:po</code></a>
1377+<a class="tooltip" href='/docs/reference/library/4a/#tod-po' title="Fetch suffix"><code>++tod:po</code></a>
1378+<a class="tooltip" href='/docs/reference/library/4a/#tos-po' title="Fetch prefix"><code>++tos:po</code></a>
13791379
13801380### 4b: text processing
13811381
1382−<a class="tooltip" href='/docs/hoon/library/4b/#at' title="(Undocumented)"><code>++at</code></a>
1383−<a class="tooltip" href='/docs/hoon/library/4b/#r-at' title="(Undocumented)"><code>++r:at</code></a>
1384−<a class="tooltip" href='/docs/hoon/library/4b/#rf-at' title="(Undocumented)"><code>++rf:at</code></a>
1385−<a class="tooltip" href='/docs/hoon/library/4b/#rn-at' title="(Undocumented)"><code>++rn:at</code></a>
1386−<a class="tooltip" href='/docs/hoon/library/4b/#rt-at' title="(Undocumented)"><code>++rt:at</code></a>
1387−<a class="tooltip" href='/docs/hoon/library/4b/#rta-at' title="(Undocumented)"><code>++rta:at</code></a>
1388−<a class="tooltip" href='/docs/hoon/library/4b/#rtam-at' title="(Undocumented)"><code>++rtam:at</code></a>
1389−<a class="tooltip" href='/docs/hoon/library/4b/#rub-at' title="(Undocumented)"><code>++rub:at</code></a>
1390−<a class="tooltip" href='/docs/hoon/library/4b/#rud-at' title="(Undocumented)"><code>++rud:at</code></a>
1391−<a class="tooltip" href='/docs/hoon/library/4b/#rum-at' title="(Undocumented)"><code>++rum:at</code></a>
1392−<a class="tooltip" href='/docs/hoon/library/4b/#rup-at' title="(Undocumented)"><code>++rup:at</code></a>
1393−<a class="tooltip" href='/docs/hoon/library/4b/#ruv-at' title="(Undocumented)"><code>++ruv:at</code></a>
1394−<a class="tooltip" href='/docs/hoon/library/4b/#rux-at' title="(Undocumented)"><code>++rux:at</code></a>
1395−
1396−<a class="tooltip" href='/docs/hoon/library/4b/#cass' title="To lowercase"><code>++cass</code></a>
1397−<a class="tooltip" href='/docs/hoon/library/4b/#crip' title="Tape to cord"><code>++crip</code></a>
1398−<a class="tooltip" href='/docs/hoon/library/4b/#cuss' title="To uppercase"><code>++cuss</code></a>
1399−<a class="tooltip" href='/docs/hoon/library/4b/#mesc' title="Escape special characters"><code>++mesc</code></a>
1400−<a class="tooltip" href='/docs/hoon/library/4b/#runt' title="Prepend n times"><code>++runt</code></a>
1401−<a class="tooltip" href='/docs/hoon/library/4b/#sand' title="Soft-cast by odor"><code>++sand</code></a>
1402−<a class="tooltip" href='/docs/hoon/library/4b/#sane' title="Check odor validity"><code>++sane</code></a>
1403−<a class="tooltip" href='/docs/hoon/library/4b/#teff' title="UTF-8 length"><code>++teff</code></a>
1404−<a class="tooltip" href='/docs/hoon/library/4b/#trim' title="Tape split"><code>++trim</code></a>
1405−<a class="tooltip" href='/docs/hoon/library/4b/#trip' title="Cord to tape"><code>++trip</code></a>
1406−<a class="tooltip" href='/docs/hoon/library/4b/#tuba' title="UTF-8 to UTF-32 tape"><code>++tuba</code></a>
1407−<a class="tooltip" href='/docs/hoon/library/4b/#tufa' title="UTF-32 to UTF-8 tape"><code>++tufa</code></a>
1408−<a class="tooltip" href='/docs/hoon/library/4b/#tuft' title="UTF-32 to UTF-8 text"><code>++tuft</code></a>
1409−<a class="tooltip" href='/docs/hoon/library/4b/#turf' title="UTF-8 to UTF-32 cord"><code>++turf</code></a>
1410−<a class="tooltip" href='/docs/hoon/library/4b/#wack' title="Coin format encode"><code>++wack</code></a>
1411−<a class="tooltip" href='/docs/hoon/library/4b/#wick' title="Coin format decode"><code>++wick</code></a>
1412−<a class="tooltip" href='/docs/hoon/library/4b/#woad' title="Unescape cord"><code>++woad</code></a>
1413−<a class="tooltip" href='/docs/hoon/library/4b/#wood' title="Escape cord"><code>++wood</code></a>
1382+<a class="tooltip" href='/docs/reference/library/4b/#at' title="(Undocumented)"><code>++at</code></a>
1383+<a class="tooltip" href='/docs/reference/library/4b/#r-at' title="(Undocumented)"><code>++r:at</code></a>
1384+<a class="tooltip" href='/docs/reference/library/4b/#rf-at' title="(Undocumented)"><code>++rf:at</code></a>
1385+<a class="tooltip" href='/docs/reference/library/4b/#rn-at' title="(Undocumented)"><code>++rn:at</code></a>
1386+<a class="tooltip" href='/docs/reference/library/4b/#rt-at' title="(Undocumented)"><code>++rt:at</code></a>
1387+<a class="tooltip" href='/docs/reference/library/4b/#rta-at' title="(Undocumented)"><code>++rta:at</code></a>
1388+<a class="tooltip" href='/docs/reference/library/4b/#rtam-at' title="(Undocumented)"><code>++rtam:at</code></a>
1389+<a class="tooltip" href='/docs/reference/library/4b/#rub-at' title="(Undocumented)"><code>++rub:at</code></a>
1390+<a class="tooltip" href='/docs/reference/library/4b/#rud-at' title="(Undocumented)"><code>++rud:at</code></a>
1391+<a class="tooltip" href='/docs/reference/library/4b/#rum-at' title="(Undocumented)"><code>++rum:at</code></a>
1392+<a class="tooltip" href='/docs/reference/library/4b/#rup-at' title="(Undocumented)"><code>++rup:at</code></a>
1393+<a class="tooltip" href='/docs/reference/library/4b/#ruv-at' title="(Undocumented)"><code>++ruv:at</code></a>
1394+<a class="tooltip" href='/docs/reference/library/4b/#rux-at' title="(Undocumented)"><code>++rux:at</code></a>
1395+
1396+<a class="tooltip" href='/docs/reference/library/4b/#cass' title="To lowercase"><code>++cass</code></a>
1397+<a class="tooltip" href='/docs/reference/library/4b/#crip' title="Tape to cord"><code>++crip</code></a>
1398+<a class="tooltip" href='/docs/reference/library/4b/#cuss' title="To uppercase"><code>++cuss</code></a>
1399+<a class="tooltip" href='/docs/reference/library/4b/#mesc' title="Escape special characters"><code>++mesc</code></a>
1400+<a class="tooltip" href='/docs/reference/library/4b/#runt' title="Prepend n times"><code>++runt</code></a>
1401+<a class="tooltip" href='/docs/reference/library/4b/#sand' title="Soft-cast by odor"><code>++sand</code></a>
1402+<a class="tooltip" href='/docs/reference/library/4b/#sane' title="Check odor validity"><code>++sane</code></a>
1403+<a class="tooltip" href='/docs/reference/library/4b/#teff' title="UTF-8 length"><code>++teff</code></a>
1404+<a class="tooltip" href='/docs/reference/library/4b/#trim' title="Tape split"><code>++trim</code></a>
1405+<a class="tooltip" href='/docs/reference/library/4b/#trip' title="Cord to tape"><code>++trip</code></a>
1406+<a class="tooltip" href='/docs/reference/library/4b/#tuba' title="UTF-8 to UTF-32 tape"><code>++tuba</code></a>
1407+<a class="tooltip" href='/docs/reference/library/4b/#tufa' title="UTF-32 to UTF-8 tape"><code>++tufa</code></a>
1408+<a class="tooltip" href='/docs/reference/library/4b/#tuft' title="UTF-32 to UTF-8 text"><code>++tuft</code></a>
1409+<a class="tooltip" href='/docs/reference/library/4b/#turf' title="UTF-8 to UTF-32 cord"><code>++turf</code></a>
1410+<a class="tooltip" href='/docs/reference/library/4b/#wack' title="Coin format encode"><code>++wack</code></a>
1411+<a class="tooltip" href='/docs/reference/library/4b/#wick' title="Coin format decode"><code>++wick</code></a>
1412+<a class="tooltip" href='/docs/reference/library/4b/#woad' title="Unescape cord"><code>++woad</code></a>
1413+<a class="tooltip" href='/docs/reference/library/4b/#wood' title="Escape cord"><code>++wood</code></a>
14141414
14151415### 4c: tank printer
14161416
1417−<a class="tooltip" href='/docs/hoon/library/4c/#re' title="Pretty-printing engine (tank)"><code>++re</code></a>
1418−<a class="tooltip" href='/docs/hoon/library/4c/#din-re' title="(Undocumented)"><code>++din:re</code></a>
1419−<a class="tooltip" href='/docs/hoon/library/4c/#fit-re' title="Fit on one line test"><code>++fit:re</code></a>
1420−<a class="tooltip" href='/docs/hoon/library/4c/#ram-re' title="Flatten tank to tape"><code>++ram:re</code></a>
1421−<a class="tooltip" href='/docs/hoon/library/4c/#rig-re' title="Wrap tape in / (tank)"><code>++rig:re</code></a>
1422−<a class="tooltip" href='/docs/hoon/library/4c/#wig-re' title="++win - render tape"><code>++wig:re</code></a>
1423−<a class="tooltip" href='/docs/hoon/library/4c/#win-re' title="Render at indent"><code>++win:re</code></a>
1417+<a class="tooltip" href='/docs/reference/library/4c/#re' title="Pretty-printing engine (tank)"><code>++re</code></a>
1418+<a class="tooltip" href='/docs/reference/library/4c/#din-re' title="(Undocumented)"><code>++din:re</code></a>
1419+<a class="tooltip" href='/docs/reference/library/4c/#fit-re' title="Fit on one line test"><code>++fit:re</code></a>
1420+<a class="tooltip" href='/docs/reference/library/4c/#ram-re' title="Flatten tank to tape"><code>++ram:re</code></a>
1421+<a class="tooltip" href='/docs/reference/library/4c/#rig-re' title="Wrap tape in / (tank)"><code>++rig:re</code></a>
1422+<a class="tooltip" href='/docs/reference/library/4c/#wig-re' title="++win - render tape"><code>++wig:re</code></a>
1423+<a class="tooltip" href='/docs/reference/library/4c/#win-re' title="Render at indent"><code>++win:re</code></a>
14241424
1425−<a class="tooltip" href='/docs/hoon/library/4c/#shep' title="(Undocumented)"><code>++shep</code></a>
1426−<a class="tooltip" href='/docs/hoon/library/4c/#shop' title="(Undocumented)"><code>++shop</code></a>
1427−<a class="tooltip" href='/docs/hoon/library/4c/#show' title="(Undocumented)"><code>++show</code></a>
1425+<a class="tooltip" href='/docs/reference/library/4c/#shep' title="(Undocumented)"><code>++shep</code></a>
1426+<a class="tooltip" href='/docs/reference/library/4c/#shop' title="(Undocumented)"><code>++shop</code></a>
1427+<a class="tooltip" href='/docs/reference/library/4c/#show' title="(Undocumented)"><code>++show</code></a>
14281428
14291429### 4d: parsing (tracing)
14301430
1431−<a class="tooltip" href='/docs/hoon/library/4d/#last' title="Further trace"><code>++last</code></a>
1432−<a class="tooltip" href='/docs/hoon/library/4d/#lust' title="Detect new line"><code>++lust</code></a>
1431+<a class="tooltip" href='/docs/reference/library/4d/#last' title="Further trace"><code>++last</code></a>
1432+<a class="tooltip" href='/docs/reference/library/4d/#lust' title="Detect new line"><code>++lust</code></a>
14331433
14341434### 4e: parsing (combinators)
14351435
1436−<a class="tooltip" href='/docs/hoon/library/4e/#bend' title="Conditional composer"><code>++bend</code></a>
1437−<a class="tooltip" href='/docs/hoon/library/4e/#comp' title="Arbitrary compose"><code>++comp</code></a>
1438−<a class="tooltip" href='/docs/hoon/library/4e/#fail' title="Never parse"><code>++fail</code></a>
1439−<a class="tooltip" href='/docs/hoon/library/4e/#glue' title="Skip delimiter"><code>++glue</code></a>
1440−<a class="tooltip" href='/docs/hoon/library/4e/#less' title="Parse unless"><code>++less</code></a>
1441−<a class="tooltip" href='/docs/hoon/library/4e/#pfix' title="Discard first rule"><code>++pfix</code></a>
1442−<a class="tooltip" href='/docs/hoon/library/4e/#plug' title="Parse to tuple"><code>++plug</code></a>
1443−<a class="tooltip" href='/docs/hoon/library/4e/#pose' title="Parse options"><code>++pose</code></a>
1444−<a class="tooltip" href='/docs/hoon/library/4e/#sfix' title="Discard second rule"><code>++sfix</code></a>
1445−<a class="tooltip" href='/docs/hoon/library/4e/#simu' title="First and second"><code>++simu</code></a>
1436+<a class="tooltip" href='/docs/reference/library/4e/#bend' title="Conditional composer"><code>++bend</code></a>
1437+<a class="tooltip" href='/docs/reference/library/4e/#comp' title="Arbitrary compose"><code>++comp</code></a>
1438+<a class="tooltip" href='/docs/reference/library/4e/#fail' title="Never parse"><code>++fail</code></a>
1439+<a class="tooltip" href='/docs/reference/library/4e/#glue' title="Skip delimiter"><code>++glue</code></a>
1440+<a class="tooltip" href='/docs/reference/library/4e/#less' title="Parse unless"><code>++less</code></a>
1441+<a class="tooltip" href='/docs/reference/library/4e/#pfix' title="Discard first rule"><code>++pfix</code></a>
1442+<a class="tooltip" href='/docs/reference/library/4e/#plug' title="Parse to tuple"><code>++plug</code></a>
1443+<a class="tooltip" href='/docs/reference/library/4e/#pose' title="Parse options"><code>++pose</code></a>
1444+<a class="tooltip" href='/docs/reference/library/4e/#sfix' title="Discard second rule"><code>++sfix</code></a>
1445+<a class="tooltip" href='/docs/reference/library/4e/#simu' title="First and second"><code>++simu</code></a>
14461446
14471447### 4f: parsing (rule builders)
14481448
1449−<a class="tooltip" href='/docs/hoon/library/4f/#bass' title="Parser modifier (LSB-ordered ++list as atom of ++base)"><code>++bass</code></a>
1450−<a class="tooltip" href='/docs/hoon/library/4f/#boss' title="Parser modifier: LSB"><code>++boss</code></a>
1451−<a class="tooltip" href='/docs/hoon/library/4f/#cold' title="Replace with constant"><code>++cold</code></a>
1452−<a class="tooltip" href='/docs/hoon/library/4f/#cook' title="Apply gate"><code>++cook</code></a>
1453−<a class="tooltip" href='/docs/hoon/library/4f/#easy' title="Always parse"><code>++easy</code></a>
1454−<a class="tooltip" href='/docs/hoon/library/4f/#full' title="Parse to end"><code>++full</code></a>
1455−<a class="tooltip" href='/docs/hoon/library/4f/#funk' title="Add to tape"><code>++funk</code></a>
1456−<a class="tooltip" href='/docs/hoon/library/4f/#here' title="Place-based apply"><code>++here</code></a>
1457−<a class="tooltip" href='/docs/hoon/library/4f/#ifix' title="Infix"><code>++ifix</code></a>
1458−<a class="tooltip" href='/docs/hoon/library/4f/#jest' title="Match a cord"><code>++jest</code></a>
1459−<a class="tooltip" href='/docs/hoon/library/4f/#just' title="Match a single character"><code>++just</code></a>
1460−<a class="tooltip" href='/docs/hoon/library/4f/#knee' title="Recursive parsers"><code>++knee</code></a>
1461−<a class="tooltip" href='/docs/hoon/library/4f/#mask' title="Match character"><code>++mask</code></a>
1462−<a class="tooltip" href='/docs/hoon/library/4f/#more' title="Parse list with delimiter"><code>++more</code></a>
1463−<a class="tooltip" href='/docs/hoon/library/4f/#most' title="Parse list of at least one match"><code>++most</code></a>
1464−<a class="tooltip" href='/docs/hoon/library/4f/#next' title="Consume character"><code>++next</code></a>
1465−<a class="tooltip" href='/docs/hoon/library/4f/#plus' title="List of at least one match"><code>++plus</code></a>
1466−<a class="tooltip" href='/docs/hoon/library/4f/#sear' title="Conditional ++cook"><code>++sear</code></a>
1467−<a class="tooltip" href='/docs/hoon/library/4f/#shim' title="Match character within range"><code>++shim</code></a>
1468−<a class="tooltip" href='/docs/hoon/library/4f/#slug' title="Use gate to parse delimited list"><code>++slug</code></a>
1469−<a class="tooltip" href='/docs/hoon/library/4f/#stag' title="Add label"><code>++stag</code></a>
1470−<a class="tooltip" href='/docs/hoon/library/4f/#star' title="Produce list of matches"><code>++star</code></a>
1471−<a class="tooltip" href='/docs/hoon/library/4f/#stet' title="Add faces to range-parser pairs in list"><code>++stet</code></a>
1472−<a class="tooltip" href='/docs/hoon/library/4f/#stew' title="Switch by first"><code>++stew</code></a>
1473−<a class="tooltip" href='/docs/hoon/library/4f/#stir' title="Parse repeatedly"><code>++stir</code></a>
1474−<a class="tooltip" href='/docs/hoon/library/4f/#stun' title="Parse several times"><code>++stun</code></a>
1449+<a class="tooltip" href='/docs/reference/library/4f/#bass' title="Parser modifier (LSB-ordered ++list as atom of ++base)"><code>++bass</code></a>
1450+<a class="tooltip" href='/docs/reference/library/4f/#boss' title="Parser modifier: LSB"><code>++boss</code></a>
1451+<a class="tooltip" href='/docs/reference/library/4f/#cold' title="Replace with constant"><code>++cold</code></a>
1452+<a class="tooltip" href='/docs/reference/library/4f/#cook' title="Apply gate"><code>++cook</code></a>
1453+<a class="tooltip" href='/docs/reference/library/4f/#easy' title="Always parse"><code>++easy</code></a>
1454+<a class="tooltip" href='/docs/reference/library/4f/#full' title="Parse to end"><code>++full</code></a>
1455+<a class="tooltip" href='/docs/reference/library/4f/#funk' title="Add to tape"><code>++funk</code></a>
1456+<a class="tooltip" href='/docs/reference/library/4f/#here' title="Place-based apply"><code>++here</code></a>
1457+<a class="tooltip" href='/docs/reference/library/4f/#ifix' title="Infix"><code>++ifix</code></a>
1458+<a class="tooltip" href='/docs/reference/library/4f/#jest' title="Match a cord"><code>++jest</code></a>
1459+<a class="tooltip" href='/docs/reference/library/4f/#just' title="Match a single character"><code>++just</code></a>
1460+<a class="tooltip" href='/docs/reference/library/4f/#knee' title="Recursive parsers"><code>++knee</code></a>
1461+<a class="tooltip" href='/docs/reference/library/4f/#mask' title="Match character"><code>++mask</code></a>
1462+<a class="tooltip" href='/docs/reference/library/4f/#more' title="Parse list with delimiter"><code>++more</code></a>
1463+<a class="tooltip" href='/docs/reference/library/4f/#most' title="Parse list of at least one match"><code>++most</code></a>
1464+<a class="tooltip" href='/docs/reference/library/4f/#next' title="Consume character"><code>++next</code></a>
1465+<a class="tooltip" href='/docs/reference/library/4f/#plus' title="List of at least one match"><code>++plus</code></a>
1466+<a class="tooltip" href='/docs/reference/library/4f/#sear' title="Conditional ++cook"><code>++sear</code></a>
1467+<a class="tooltip" href='/docs/reference/library/4f/#shim' title="Match character within range"><code>++shim</code></a>
1468+<a class="tooltip" href='/docs/reference/library/4f/#slug' title="Use gate to parse delimited list"><code>++slug</code></a>
1469+<a class="tooltip" href='/docs/reference/library/4f/#stag' title="Add label"><code>++stag</code></a>
1470+<a class="tooltip" href='/docs/reference/library/4f/#star' title="Produce list of matches"><code>++star</code></a>
1471+<a class="tooltip" href='/docs/reference/library/4f/#stet' title="Add faces to range-parser pairs in list"><code>++stet</code></a>
1472+<a class="tooltip" href='/docs/reference/library/4f/#stew' title="Switch by first"><code>++stew</code></a>
1473+<a class="tooltip" href='/docs/reference/library/4f/#stir' title="Parse repeatedly"><code>++stir</code></a>
1474+<a class="tooltip" href='/docs/reference/library/4f/#stun' title="Parse several times"><code>++stun</code></a>
14751475
14761476### 4g: parsing (outside caller)
14771477
1478−<a class="tooltip" href='/docs/hoon/library/4g/#rash' title="Parse or crash"><code>++rash</code></a>
1479−<a class="tooltip" href='/docs/hoon/library/4g/#rush' title="Parse or null"><code>++rush</code></a>
1480−<a class="tooltip" href='/docs/hoon/library/4g/#rust' title="Parse tape or null"><code>++rust</code></a>
1481−<a class="tooltip" href='/docs/hoon/library/4g/#scan' title="Parse tape or crash"><code>++scan</code></a>
1478+<a class="tooltip" href='/docs/reference/library/4g/#rash' title="Parse or crash"><code>++rash</code></a>
1479+<a class="tooltip" href='/docs/reference/library/4g/#rush' title="Parse or null"><code>++rush</code></a>
1480+<a class="tooltip" href='/docs/reference/library/4g/#rust' title="Parse tape or null"><code>++rust</code></a>
1481+<a class="tooltip" href='/docs/reference/library/4g/#scan' title="Parse tape or crash"><code>++scan</code></a>
14821482
14831483### 4h: parsing (ascii glyphs)
14841484
1485−<a class="tooltip" href='/docs/hoon/library/4h/#ace' title="Parse space"><code>++ace</code></a>
1486−<a class="tooltip" href='/docs/hoon/library/4h/#bar' title="Parse | (bar)"><code>++bar</code></a>
1487−<a class="tooltip" href='/docs/hoon/library/4h/#bas' title="Parse \ (bas)"><code>++bas</code></a>
1488−<a class="tooltip" href='/docs/hoon/library/4h/#buc' title="Parse $ (buc)"><code>++buc</code></a>
1489−<a class="tooltip" href='/docs/hoon/library/4h/#cab' title="Parse _ (cab)"><code>++cab</code></a>
1490−<a class="tooltip" href='/docs/hoon/library/4h/#cen' title="Parse % (cen)"><code>++cen</code></a>
1491−<a class="tooltip" href='/docs/hoon/library/4h/#col' title="Parse : (col)"><code>++col</code></a>
1492−<a class="tooltip" href='/docs/hoon/library/4h/#com' title="Parse , (comma)"><code>++com</code></a>
1493−<a class="tooltip" href='/docs/hoon/library/4h/#doq' title="Parse double quote"><code>++doq</code></a>
1494−<a class="tooltip" href='/docs/hoon/library/4h/#dot' title="Parse period"><code>++dot</code></a>
1495−<a class="tooltip" href='/docs/hoon/library/4h/#fas' title="Parse / (fas)"><code>++fas</code></a>
1496−<a class="tooltip" href='/docs/hoon/library/4h/#gal' title="Parse < (gal)"><code>++gal</code></a>
1497−<a class="tooltip" href='/docs/hoon/library/4h/#gar' title="Parse > (gar)"><code>++gar</code></a>
1498−<a class="tooltip" href='/docs/hoon/library/4h/#hax' title="Parse # (hax)"><code>++hax</code></a>
1499−<a class="tooltip" href='/docs/hoon/library/4h/#hep' title="Parse - (hep)"><code>++hep</code></a>
1500−<a class="tooltip" href='/docs/hoon/library/4h/#kel' title="Parse { (kel)"><code>++kel</code></a>
1501−<a class="tooltip" href='/docs/hoon/library/4h/#ker' title="Parse } (ker)"><code>++ker</code></a>
1502−<a class="tooltip" href='/docs/hoon/library/4h/#ket' title="Parse ^ (ket)"><code>++ket</code></a>
1503−<a class="tooltip" href='/docs/hoon/library/4h/#lus' title="Parse + (lus)"><code>++lus</code></a>
1504−<a class="tooltip" href='/docs/hoon/library/4h/#pam' title="Parse & (pam)"><code>++pam</code></a>
1505−<a class="tooltip" href='/docs/hoon/library/4h/#pat' title="Parse @ (pat)"><code>++pat</code></a>
1506−<a class="tooltip" href='/docs/hoon/library/4h/#pel' title="Parse ( (pel)"><code>++pel</code></a>
1507−<a class="tooltip" href='/docs/hoon/library/4h/#per' title="Parse ) (per)"><code>++per</code></a>
1508−<a class="tooltip" href='/docs/hoon/library/4h/#sel' title="Parse [ (sel)"><code>++sel</code></a>
1509−<a class="tooltip" href='/docs/hoon/library/4h/#sem' title="Parse ; (sem)"><code>++sem</code></a>
1510−<a class="tooltip" href='/docs/hoon/library/4h/#ser' title="Parse ] (ser)"><code>++ser</code></a>
1511−<a class="tooltip" href='/docs/hoon/library/4h/#sig' title="Parse ~ (sig)"><code>++sig</code></a>
1512−<a class="tooltip" href='/docs/hoon/library/4h/#soq' title="Parse ' (soq)"><code>++soq</code></a>
1513−<a class="tooltip" href='/docs/hoon/library/4h/#tar' title="Parse * (tar)"><code>++tar</code></a>
1514−<a class="tooltip" href='/docs/hoon/library/4h/#tec' title="Parse ` (tec)"><code>++tec</code></a>
1515−<a class="tooltip" href='/docs/hoon/library/4h/#tis' title="Parse = (tis)"><code>++tis</code></a>
1516−<a class="tooltip" href='/docs/hoon/library/4h/#wut' title="Parse ? (wut)"><code>++wut</code></a>
1517−<a class="tooltip" href='/docs/hoon/library/4h/#zap' title="Parse ! (zap)"><code>++zap</code></a>
1485+<a class="tooltip" href='/docs/reference/library/4h/#ace' title="Parse space"><code>++ace</code></a>
1486+<a class="tooltip" href='/docs/reference/library/4h/#bar' title="Parse | (bar)"><code>++bar</code></a>
1487+<a class="tooltip" href='/docs/reference/library/4h/#bas' title="Parse \ (bas)"><code>++bas</code></a>
1488+<a class="tooltip" href='/docs/reference/library/4h/#buc' title="Parse $ (buc)"><code>++buc</code></a>
1489+<a class="tooltip" href='/docs/reference/library/4h/#cab' title="Parse _ (cab)"><code>++cab</code></a>
1490+<a class="tooltip" href='/docs/reference/library/4h/#cen' title="Parse % (cen)"><code>++cen</code></a>
1491+<a class="tooltip" href='/docs/reference/library/4h/#col' title="Parse : (col)"><code>++col</code></a>
1492+<a class="tooltip" href='/docs/reference/library/4h/#com' title="Parse , (comma)"><code>++com</code></a>
1493+<a class="tooltip" href='/docs/reference/library/4h/#doq' title="Parse double quote"><code>++doq</code></a>
1494+<a class="tooltip" href='/docs/reference/library/4h/#dot' title="Parse period"><code>++dot</code></a>
1495+<a class="tooltip" href='/docs/reference/library/4h/#fas' title="Parse / (fas)"><code>++fas</code></a>
1496+<a class="tooltip" href='/docs/reference/library/4h/#gal' title="Parse < (gal)"><code>++gal</code></a>
1497+<a class="tooltip" href='/docs/reference/library/4h/#gar' title="Parse > (gar)"><code>++gar</code></a>
1498+<a class="tooltip" href='/docs/reference/library/4h/#hax' title="Parse # (hax)"><code>++hax</code></a>
1499+<a class="tooltip" href='/docs/reference/library/4h/#hep' title="Parse - (hep)"><code>++hep</code></a>
1500+<a class="tooltip" href='/docs/reference/library/4h/#kel' title="Parse { (kel)"><code>++kel</code></a>
1501+<a class="tooltip" href='/docs/reference/library/4h/#ker' title="Parse } (ker)"><code>++ker</code></a>
1502+<a class="tooltip" href='/docs/reference/library/4h/#ket' title="Parse ^ (ket)"><code>++ket</code></a>
1503+<a class="tooltip" href='/docs/reference/library/4h/#lus' title="Parse + (lus)"><code>++lus</code></a>
1504+<a class="tooltip" href='/docs/reference/library/4h/#pam' title="Parse & (pam)"><code>++pam</code></a>
1505+<a class="tooltip" href='/docs/reference/library/4h/#pat' title="Parse @ (pat)"><code>++pat</code></a>
1506+<a class="tooltip" href='/docs/reference/library/4h/#pel' title="Parse ( (pel)"><code>++pel</code></a>
1507+<a class="tooltip" href='/docs/reference/library/4h/#per' title="Parse ) (per)"><code>++per</code></a>
1508+<a class="tooltip" href='/docs/reference/library/4h/#sel' title="Parse [ (sel)"><code>++sel</code></a>
1509+<a class="tooltip" href='/docs/reference/library/4h/#sem' title="Parse ; (sem)"><code>++sem</code></a>
1510+<a class="tooltip" href='/docs/reference/library/4h/#ser' title="Parse ] (ser)"><code>++ser</code></a>
1511+<a class="tooltip" href='/docs/reference/library/4h/#sig' title="Parse ~ (sig)"><code>++sig</code></a>
1512+<a class="tooltip" href='/docs/reference/library/4h/#soq' title="Parse ' (soq)"><code>++soq</code></a>
1513+<a class="tooltip" href='/docs/reference/library/4h/#tar' title="Parse * (tar)"><code>++tar</code></a>
1514+<a class="tooltip" href='/docs/reference/library/4h/#tec' title="Parse ` (tec)"><code>++tec</code></a>
1515+<a class="tooltip" href='/docs/reference/library/4h/#tis' title="Parse = (tis)"><code>++tis</code></a>
1516+<a class="tooltip" href='/docs/reference/library/4h/#wut' title="Parse ? (wut)"><code>++wut</code></a>
1517+<a class="tooltip" href='/docs/reference/library/4h/#zap' title="Parse ! (zap)"><code>++zap</code></a>
15181518
15191519### 4i: parsing (useful idioms)
15201520
1521−<a class="tooltip" href='/docs/hoon/library/4i/#alf' title="Parse alphabetic characters"><code>++alf</code></a>
1522−<a class="tooltip" href='/docs/hoon/library/4i/#aln' title="Parse alphanumeric characters"><code>++aln</code></a>
1523−<a class="tooltip" href='/docs/hoon/library/4i/#alp' title="Parse alphanumeric characters and -"><code>++alp</code></a>
1524−<a class="tooltip" href='/docs/hoon/library/4i/#bet' title="Parse hep and lus axis syntax"><code>++bet</code></a>
1525−<a class="tooltip" href='/docs/hoon/library/4i/#bin' title="Binary to atom"><code>++bin</code></a>
1526−<a class="tooltip" href='/docs/hoon/library/4i/#but' title="Parse binary digit"><code>++but</code></a>
1527−<a class="tooltip" href='/docs/hoon/library/4i/#cit' title="Octal digit"><code>++cit</code></a>
1528−<a class="tooltip" href='/docs/hoon/library/4i/#dem' title="Decimal to atom"><code>++dem</code></a>
1529−<a class="tooltip" href='/docs/hoon/library/4i/#dit' title="Decimal digit"><code>++dit</code></a>
1530−<a class="tooltip" href='/docs/hoon/library/4i/#dog' title="Optional gap"><code>++dog</code></a>
1531−<a class="tooltip" href='/docs/hoon/library/4i/#doh' title="@p separator"><code>++doh</code></a>
1532−<a class="tooltip" href='/docs/hoon/library/4i/#dun' title="-- to ~"><code>++dun</code></a>
1533−<a class="tooltip" href='/docs/hoon/library/4i/#duz' title="== to ~"><code>++duz</code></a>
1534−<a class="tooltip" href='/docs/hoon/library/4i/#gah' title="New line or ''"><code>++gah</code></a>
1535−<a class="tooltip" href='/docs/hoon/library/4i/#gap' title="Plural whitespace"><code>++gap</code></a>
1536−<a class="tooltip" href='/docs/hoon/library/4i/#gaq' title="End of line"><code>++gaq</code></a>
1537−<a class="tooltip" href='/docs/hoon/library/4i/#gaw' title="Classic whitespace"><code>++gaw</code></a>
1538−<a class="tooltip" href='/docs/hoon/library/4i/#gay' title="Optional gap"><code>++gay</code></a>
1539−<a class="tooltip" href='/docs/hoon/library/4i/#gon' title="Parse long numbers"><code>++gon</code></a>
1540−<a class="tooltip" href='/docs/hoon/library/4i/#gul' title="Axis syntax < or >"><code>++gul</code></a>
1541−<a class="tooltip" href='/docs/hoon/library/4i/#hex' title="Hexadecimal to atom"><code>++hex</code></a>
1542−<a class="tooltip" href='/docs/hoon/library/4i/#hig' title="Parse single uppercase letter"><code>++hig</code></a>
1543−<a class="tooltip" href='/docs/hoon/library/4i/#hit' title="Parse single hexadecimal digit"><code>++hit</code></a>
1544−<a class="tooltip" href='/docs/hoon/library/4i/#iny' title="Indentation block"><code>++iny</code></a>
1545−<a class="tooltip" href='/docs/hoon/library/4i/#low' title="Parse lowercase letter"><code>++low</code></a>
1546−<a class="tooltip" href='/docs/hoon/library/4i/#mes' title="Parse hexabyte"><code>++mes</code></a>
1547−<a class="tooltip" href='/docs/hoon/library/4i/#nix' title="Parse letters and -"><code>++nix</code></a>
1548−<a class="tooltip" href='/docs/hoon/library/4i/#nud' title="Parse numeric character"><code>++nud</code></a>
1549−<a class="tooltip" href='/docs/hoon/library/4i/#prn' title="Parse any printable character"><code>++prn</code></a>
1550−<a class="tooltip" href='/docs/hoon/library/4i/#qit' title="Parse character to cord atom"><code>++qit</code></a>
1551−<a class="tooltip" href='/docs/hoon/library/4i/#qut' title="Parse cord"><code>++qut</code></a>
1552−<a class="tooltip" href='/docs/hoon/library/4i/#soz' title="Parse triple single-quote"><code>++soz</code></a>
1553−<a class="tooltip" href='/docs/hoon/library/4i/#sym' title="Term"><code>++sym</code></a>
1554−<a class="tooltip" href='/docs/hoon/library/4i/#ven' title="Axis syntax parser"><code>++ven</code></a>
1555−<a class="tooltip" href='/docs/hoon/library/4i/#vit' title="Parse base 64 digit"><code>++vit</code></a>
1556−<a class="tooltip" href='/docs/hoon/library/4i/#vul' title="Comments to null"><code>++vul</code></a>
1521+<a class="tooltip" href='/docs/reference/library/4i/#alf' title="Parse alphabetic characters"><code>++alf</code></a>
1522+<a class="tooltip" href='/docs/reference/library/4i/#aln' title="Parse alphanumeric characters"><code>++aln</code></a>
1523+<a class="tooltip" href='/docs/reference/library/4i/#alp' title="Parse alphanumeric characters and -"><code>++alp</code></a>
1524+<a class="tooltip" href='/docs/reference/library/4i/#bet' title="Parse hep and lus axis syntax"><code>++bet</code></a>
1525+<a class="tooltip" href='/docs/reference/library/4i/#bin' title="Binary to atom"><code>++bin</code></a>
1526+<a class="tooltip" href='/docs/reference/library/4i/#but' title="Parse binary digit"><code>++but</code></a>
1527+<a class="tooltip" href='/docs/reference/library/4i/#cit' title="Octal digit"><code>++cit</code></a>
1528+<a class="tooltip" href='/docs/reference/library/4i/#dem' title="Decimal to atom"><code>++dem</code></a>
1529+<a class="tooltip" href='/docs/reference/library/4i/#dit' title="Decimal digit"><code>++dit</code></a>
1530+<a class="tooltip" href='/docs/reference/library/4i/#dog' title="Optional gap"><code>++dog</code></a>
1531+<a class="tooltip" href='/docs/reference/library/4i/#doh' title="@p separator"><code>++doh</code></a>
1532+<a class="tooltip" href='/docs/reference/library/4i/#dun' title="-- to ~"><code>++dun</code></a>
1533+<a class="tooltip" href='/docs/reference/library/4i/#duz' title="== to ~"><code>++duz</code></a>
1534+<a class="tooltip" href='/docs/reference/library/4i/#gah' title="New line or ''"><code>++gah</code></a>
1535+<a class="tooltip" href='/docs/reference/library/4i/#gap' title="Plural whitespace"><code>++gap</code></a>
1536+<a class="tooltip" href='/docs/reference/library/4i/#gaq' title="End of line"><code>++gaq</code></a>
1537+<a class="tooltip" href='/docs/reference/library/4i/#gaw' title="Classic whitespace"><code>++gaw</code></a>
1538+<a class="tooltip" href='/docs/reference/library/4i/#gay' title="Optional gap"><code>++gay</code></a>
1539+<a class="tooltip" href='/docs/reference/library/4i/#gon' title="Parse long numbers"><code>++gon</code></a>
1540+<a class="tooltip" href='/docs/reference/library/4i/#gul' title="Axis syntax < or >"><code>++gul</code></a>
1541+<a class="tooltip" href='/docs/reference/library/4i/#hex' title="Hexadecimal to atom"><code>++hex</code></a>
1542+<a class="tooltip" href='/docs/reference/library/4i/#hig' title="Parse single uppercase letter"><code>++hig</code></a>
1543+<a class="tooltip" href='/docs/reference/library/4i/#hit' title="Parse single hexadecimal digit"><code>++hit</code></a>
1544+<a class="tooltip" href='/docs/reference/library/4i/#iny' title="Indentation block"><code>++iny</code></a>
1545+<a class="tooltip" href='/docs/reference/library/4i/#low' title="Parse lowercase letter"><code>++low</code></a>
1546+<a class="tooltip" href='/docs/reference/library/4i/#mes' title="Parse hexabyte"><code>++mes</code></a>
1547+<a class="tooltip" href='/docs/reference/library/4i/#nix' title="Parse letters and -"><code>++nix</code></a>
1548+<a class="tooltip" href='/docs/reference/library/4i/#nud' title="Parse numeric character"><code>++nud</code></a>
1549+<a class="tooltip" href='/docs/reference/library/4i/#prn' title="Parse any printable character"><code>++prn</code></a>
1550+<a class="tooltip" href='/docs/reference/library/4i/#qit' title="Parse character to cord atom"><code>++qit</code></a>
1551+<a class="tooltip" href='/docs/reference/library/4i/#qut' title="Parse cord"><code>++qut</code></a>
1552+<a class="tooltip" href='/docs/reference/library/4i/#soz' title="Parse triple single-quote"><code>++soz</code></a>
1553+<a class="tooltip" href='/docs/reference/library/4i/#sym' title="Term"><code>++sym</code></a>
1554+<a class="tooltip" href='/docs/reference/library/4i/#ven' title="Axis syntax parser"><code>++ven</code></a>
1555+<a class="tooltip" href='/docs/reference/library/4i/#vit' title="Parse base 64 digit"><code>++vit</code></a>
1556+<a class="tooltip" href='/docs/reference/library/4i/#vul' title="Comments to null"><code>++vul</code></a>
15571557
15581558### 4j: parsing (bases and base digits)
15591559
1560−<a class="tooltip" href='/docs/hoon/library/4j/#ab' title="Primitive parser engine"><code>++ab</code></a>
1561−<a class="tooltip" href='/docs/hoon/library/4j/#bix-ab' title="Parse hex pair"><code>++bix:ab</code></a>
1562−<a class="tooltip" href='/docs/hoon/library/4j/#hif-ab' title="Parse phonetic pair"><code>++hif:ab</code></a>
1563−<a class="tooltip" href='/docs/hoon/library/4j/#huf-ab' title="Parse two phonetic pairs"><code>++huf:ab</code></a>
1564−<a class="tooltip" href='/docs/hoon/library/4j/#hyf-ab' title="Parse 8 phonetic bytes"><code>++hyf:ab</code></a>
1565−<a class="tooltip" href='/docs/hoon/library/4j/#pev-ab' title="Parse <=5 in base 32"><code>++pev:ab</code></a>
1566−<a class="tooltip" href='/docs/hoon/library/4j/#pew-ab' title="Parse <= 5 in base 64"><code>++pew:ab</code></a>
1567−<a class="tooltip" href='/docs/hoon/library/4j/#piv-ab' title="Parse 5 digits in base 32"><code>++piv:ab</code></a>
1568−<a class="tooltip" href='/docs/hoon/library/4j/#piw-ab' title="Parse 5 digits in base 64"><code>++piw:ab</code></a>
1569−<a class="tooltip" href='/docs/hoon/library/4j/#qeb-ab' title="Parse <=4 binary digits"><code>++qeb:ab</code></a>
1570−<a class="tooltip" href='/docs/hoon/library/4j/#qex-ab' title="Parse <=4 hexadecimal digits"><code>++qex:ab</code></a>
1571−<a class="tooltip" href='/docs/hoon/library/4j/#qib-ab' title="Parse 4 binary digits"><code>++qib:ab</code></a>
1572−<a class="tooltip" href='/docs/hoon/library/4j/#qix-ab' title="Parse 4 hexadecimal digits"><code>++qix:ab</code></a>
1573−<a class="tooltip" href='/docs/hoon/library/4j/#seb-ab' title="Parse 1"><code>++seb:ab</code></a>
1574−<a class="tooltip" href='/docs/hoon/library/4j/#sed-ab' title="Parse non-zero decimal digit"><code>++sed:ab</code></a>
1575−<a class="tooltip" href='/docs/hoon/library/4j/#sev-ab' title="Parse non-zero base 32 digit"><code>++sev:ab</code></a>
1576−<a class="tooltip" href='/docs/hoon/library/4j/#sew-ab' title="Parse non-zero base 64 digit"><code>++sew:ab</code></a>
1577−<a class="tooltip" href='/docs/hoon/library/4j/#sex-ab' title="Parse nonzero hexadecimal digit"><code>++sex:ab</code></a>
1578−<a class="tooltip" href='/docs/hoon/library/4j/#sib-ab' title="Parse binary digit"><code>++sib:ab</code></a>
1579−<a class="tooltip" href='/docs/hoon/library/4j/#sid-ab' title="Parse decimal digit"><code>++sid:ab</code></a>
1580−<a class="tooltip" href='/docs/hoon/library/4j/#siv-ab' title="Parse a base 32 digit"><code>++siv:ab</code></a>
1581−<a class="tooltip" href='/docs/hoon/library/4j/#siw-ab' title="Parse a base 64 digit"><code>++siw:ab</code></a>
1582−<a class="tooltip" href='/docs/hoon/library/4j/#six-ab' title="Parse a hexadecimal digit"><code>++six:ab</code></a>
1583−<a class="tooltip" href='/docs/hoon/library/4j/#sov-ab' title="Parse base 32 letter"><code>++sov:ab</code></a>
1584−<a class="tooltip" href='/docs/hoon/library/4j/#sow-ab' title="Parse base 64 letter/symbol"><code>++sow:ab</code></a>
1585−<a class="tooltip" href='/docs/hoon/library/4j/#sox-ab' title="Parse hexadecimal letter"><code>++sox:ab</code></a>
1586−<a class="tooltip" href='/docs/hoon/library/4j/#ted-ab' title="Parse decimal number with <= 3 digits"><code>++ted:ab</code></a>
1587−<a class="tooltip" href='/docs/hoon/library/4j/#tid-ab' title="Parse 3 decimal digits"><code>++tid:ab</code></a>
1588−<a class="tooltip" href='/docs/hoon/library/4j/#til-ab' title="Parse 3 lowercase letters"><code>++til:ab</code></a>
1589−<a class="tooltip" href='/docs/hoon/library/4j/#tip-ab' title="Leading phonetic byte"><code>++tip:ab</code></a>
1590−<a class="tooltip" href='/docs/hoon/library/4j/#tiq-ab' title="Trailing phonetic syllable"><code>++tiq:ab</code></a>
1591−<a class="tooltip" href='/docs/hoon/library/4j/#urs-ab' title="Parse span characters"><code>++urs:ab</code></a>
1592−<a class="tooltip" href='/docs/hoon/library/4j/#urt-ab' title="Parse non-_ span"><code>++urt:ab</code></a>
1593−<a class="tooltip" href='/docs/hoon/library/4j/#voy-ab' title="Parse bas, soq, or bix"><code>++voy:ab</code></a>
1594−
1595−<a class="tooltip" href='/docs/hoon/library/4j/#ag' title="Top-level atom parser engine"><code>++ag</code></a>
1596−<a class="tooltip" href='/docs/hoon/library/4j/#ape-ag' title="Parse 0 or rule"><code>++ape:ag</code></a>
1597−<a class="tooltip" href='/docs/hoon/library/4j/#bay-ag' title="Parses binary number"><code>++bay:ag</code></a>
1598−<a class="tooltip" href='/docs/hoon/library/4j/#bip-ag' title="Parse IPv6"><code>++bip:ag</code></a>
1599−<a class="tooltip" href='/docs/hoon/library/4j/#dem-ag' title="Parse decmal with dots"><code>++dem:ag</code></a>
1600−<a class="tooltip" href='/docs/hoon/library/4j/#dim-ag' title="Parse decimal number"><code>++dim:ag</code></a>
1601−<a class="tooltip" href='/docs/hoon/library/4j/#dum-ag' title="Parse decimal with leading zero"><code>++dum:ag</code></a>
1602−<a class="tooltip" href='/docs/hoon/library/4j/#fed-ag' title="Parse @p"><code>++fed:ag</code></a>
1603−<a class="tooltip" href='/docs/hoon/library/4j/#hex-ag' title="Parse hexadecimal number"><code>++hex:ag</code></a>
1604−<a class="tooltip" href='/docs/hoon/library/4j/#lip-ag' title="Parse IPv4 address"><code>++lip:ag</code></a>
1605−<a class="tooltip" href='/docs/hoon/library/4j/#viz-ag' title="Parse base 32 digit with dot separators"><code>++viz:ag</code></a>
1606−<a class="tooltip" href='/docs/hoon/library/4j/#vum-ag' title="Parse base 32 string"><code>++vum:ag</code></a>
1607−<a class="tooltip" href='/docs/hoon/library/4j/#wiz-ag' title="Parse base 64 number"><code>++wiz:ag</code></a>
1608−
1609−<a class="tooltip" href='/docs/hoon/library/4j/#mu' title="Core used to scramble 16-bit atoms"><code>++mu</code></a>
1610−<a class="tooltip" href='/docs/hoon/library/4j/#zag-mu' title="Add bottom into top"><code>++zag:mu</code></a>
1611−<a class="tooltip" href='/docs/hoon/library/4j/#zig-mu' title="Subtract bottom from top"><code>++zig:mu</code></a>
1612−<a class="tooltip" href='/docs/hoon/library/4j/#zug-mu' title="Concatenate into atom"><code>++zug:mu</code></a>
1613−
1614−<a class="tooltip" href='/docs/hoon/library/4j/#ne' title="Digit rendering engine"><code>++ne</code></a>
1615−<a class="tooltip" href='/docs/hoon/library/4j/#d-ne' title="Render decimal"><code>++d:ne</code></a>
1616−<a class="tooltip" href='/docs/hoon/library/4j/#v-ne' title="Render base 32"><code>++v:ne</code></a>
1617−<a class="tooltip" href='/docs/hoon/library/4j/#w-ne' title="Render base 64 digit"><code>++w:ne</code></a>
1618−<a class="tooltip" href='/docs/hoon/library/4j/#x-ne' title="Render hexadecimal digit as atom of ASCII byte value"><code>++x:ne</code></a>
1560+<a class="tooltip" href='/docs/reference/library/4j/#ab' title="Primitive parser engine"><code>++ab</code></a>
1561+<a class="tooltip" href='/docs/reference/library/4j/#bix-ab' title="Parse hex pair"><code>++bix:ab</code></a>
1562+<a class="tooltip" href='/docs/reference/library/4j/#hif-ab' title="Parse phonetic pair"><code>++hif:ab</code></a>
1563+<a class="tooltip" href='/docs/reference/library/4j/#huf-ab' title="Parse two phonetic pairs"><code>++huf:ab</code></a>
1564+<a class="tooltip" href='/docs/reference/library/4j/#hyf-ab' title="Parse 8 phonetic bytes"><code>++hyf:ab</code></a>
1565+<a class="tooltip" href='/docs/reference/library/4j/#pev-ab' title="Parse <=5 in base 32"><code>++pev:ab</code></a>
1566+<a class="tooltip" href='/docs/reference/library/4j/#pew-ab' title="Parse <= 5 in base 64"><code>++pew:ab</code></a>
1567+<a class="tooltip" href='/docs/reference/library/4j/#piv-ab' title="Parse 5 digits in base 32"><code>++piv:ab</code></a>
1568+<a class="tooltip" href='/docs/reference/library/4j/#piw-ab' title="Parse 5 digits in base 64"><code>++piw:ab</code></a>
1569+<a class="tooltip" href='/docs/reference/library/4j/#qeb-ab' title="Parse <=4 binary digits"><code>++qeb:ab</code></a>
1570+<a class="tooltip" href='/docs/reference/library/4j/#qex-ab' title="Parse <=4 hexadecimal digits"><code>++qex:ab</code></a>
1571+<a class="tooltip" href='/docs/reference/library/4j/#qib-ab' title="Parse 4 binary digits"><code>++qib:ab</code></a>
1572+<a class="tooltip" href='/docs/reference/library/4j/#qix-ab' title="Parse 4 hexadecimal digits"><code>++qix:ab</code></a>
1573+<a class="tooltip" href='/docs/reference/library/4j/#seb-ab' title="Parse 1"><code>++seb:ab</code></a>
1574+<a class="tooltip" href='/docs/reference/library/4j/#sed-ab' title="Parse non-zero decimal digit"><code>++sed:ab</code></a>
1575+<a class="tooltip" href='/docs/reference/library/4j/#sev-ab' title="Parse non-zero base 32 digit"><code>++sev:ab</code></a>
1576+<a class="tooltip" href='/docs/reference/library/4j/#sew-ab' title="Parse non-zero base 64 digit"><code>++sew:ab</code></a>
1577+<a class="tooltip" href='/docs/reference/library/4j/#sex-ab' title="Parse nonzero hexadecimal digit"><code>++sex:ab</code></a>
1578+<a class="tooltip" href='/docs/reference/library/4j/#sib-ab' title="Parse binary digit"><code>++sib:ab</code></a>
1579+<a class="tooltip" href='/docs/reference/library/4j/#sid-ab' title="Parse decimal digit"><code>++sid:ab</code></a>
1580+<a class="tooltip" href='/docs/reference/library/4j/#siv-ab' title="Parse a base 32 digit"><code>++siv:ab</code></a>
1581+<a class="tooltip" href='/docs/reference/library/4j/#siw-ab' title="Parse a base 64 digit"><code>++siw:ab</code></a>
1582+<a class="tooltip" href='/docs/reference/library/4j/#six-ab' title="Parse a hexadecimal digit"><code>++six:ab</code></a>
1583+<a class="tooltip" href='/docs/reference/library/4j/#sov-ab' title="Parse base 32 letter"><code>++sov:ab</code></a>
1584+<a class="tooltip" href='/docs/reference/library/4j/#sow-ab' title="Parse base 64 letter/symbol"><code>++sow:ab</code></a>
1585+<a class="tooltip" href='/docs/reference/library/4j/#sox-ab' title="Parse hexadecimal letter"><code>++sox:ab</code></a>
1586+<a class="tooltip" href='/docs/reference/library/4j/#ted-ab' title="Parse decimal number with <= 3 digits"><code>++ted:ab</code></a>
1587+<a class="tooltip" href='/docs/reference/library/4j/#tid-ab' title="Parse 3 decimal digits"><code>++tid:ab</code></a>
1588+<a class="tooltip" href='/docs/reference/library/4j/#til-ab' title="Parse 3 lowercase letters"><code>++til:ab</code></a>
1589+<a class="tooltip" href='/docs/reference/library/4j/#tip-ab' title="Leading phonetic byte"><code>++tip:ab</code></a>
1590+<a class="tooltip" href='/docs/reference/library/4j/#tiq-ab' title="Trailing phonetic syllable"><code>++tiq:ab</code></a>
1591+<a class="tooltip" href='/docs/reference/library/4j/#urs-ab' title="Parse span characters"><code>++urs:ab</code></a>
1592+<a class="tooltip" href='/docs/reference/library/4j/#urt-ab' title="Parse non-_ span"><code>++urt:ab</code></a>
1593+<a class="tooltip" href='/docs/reference/library/4j/#voy-ab' title="Parse bas, soq, or bix"><code>++voy:ab</code></a>
1594+
1595+<a class="tooltip" href='/docs/reference/library/4j/#ag' title="Top-level atom parser engine"><code>++ag</code></a>
1596+<a class="tooltip" href='/docs/reference/library/4j/#ape-ag' title="Parse 0 or rule"><code>++ape:ag</code></a>
1597+<a class="tooltip" href='/docs/reference/library/4j/#bay-ag' title="Parses binary number"><code>++bay:ag</code></a>
1598+<a class="tooltip" href='/docs/reference/library/4j/#bip-ag' title="Parse IPv6"><code>++bip:ag</code></a>
1599+<a class="tooltip" href='/docs/reference/library/4j/#dem-ag' title="Parse decmal with dots"><code>++dem:ag</code></a>
1600+<a class="tooltip" href='/docs/reference/library/4j/#dim-ag' title="Parse decimal number"><code>++dim:ag</code></a>
1601+<a class="tooltip" href='/docs/reference/library/4j/#dum-ag' title="Parse decimal with leading zero"><code>++dum:ag</code></a>
1602+<a class="tooltip" href='/docs/reference/library/4j/#fed-ag' title="Parse @p"><code>++fed:ag</code></a>
1603+<a class="tooltip" href='/docs/reference/library/4j/#hex-ag' title="Parse hexadecimal number"><code>++hex:ag</code></a>
1604+<a class="tooltip" href='/docs/reference/library/4j/#lip-ag' title="Parse IPv4 address"><code>++lip:ag</code></a>
1605+<a class="tooltip" href='/docs/reference/library/4j/#viz-ag' title="Parse base 32 digit with dot separators"><code>++viz:ag</code></a>
1606+<a class="tooltip" href='/docs/reference/library/4j/#vum-ag' title="Parse base 32 string"><code>++vum:ag</code></a>
1607+<a class="tooltip" href='/docs/reference/library/4j/#wiz-ag' title="Parse base 64 number"><code>++wiz:ag</code></a>
1608+
1609+<a class="tooltip" href='/docs/reference/library/4j/#mu' title="Core used to scramble 16-bit atoms"><code>++mu</code></a>
1610+<a class="tooltip" href='/docs/reference/library/4j/#zag-mu' title="Add bottom into top"><code>++zag:mu</code></a>
1611+<a class="tooltip" href='/docs/reference/library/4j/#zig-mu' title="Subtract bottom from top"><code>++zig:mu</code></a>
1612+<a class="tooltip" href='/docs/reference/library/4j/#zug-mu' title="Concatenate into atom"><code>++zug:mu</code></a>
1613+
1614+<a class="tooltip" href='/docs/reference/library/4j/#ne' title="Digit rendering engine"><code>++ne</code></a>
1615+<a class="tooltip" href='/docs/reference/library/4j/#d-ne' title="Render decimal"><code>++d:ne</code></a>
1616+<a class="tooltip" href='/docs/reference/library/4j/#v-ne' title="Render base 32"><code>++v:ne</code></a>
1617+<a class="tooltip" href='/docs/reference/library/4j/#w-ne' title="Render base 64 digit"><code>++w:ne</code></a>
1618+<a class="tooltip" href='/docs/reference/library/4j/#x-ne' title="Render hexadecimal digit as atom of ASCII byte value"><code>++x:ne</code></a>
16191619
16201620### 4k: parsing (atom printing)
16211621
1622−<a class="tooltip" href='/docs/hoon/library/4k/#co' title="Literal rendering engine"><code>++co</code></a>
1623−<a class="tooltip" href='/docs/hoon/library/4k/#rear-co' title="Prepend and render atom as tape"><code>++rear:co</code></a>
1624−<a class="tooltip" href='/docs/hoon/library/4k/#rend-co' title="Render coin lot as tape"><code>++rend:co</code></a>
1625−<a class="tooltip" href='/docs/hoon/library/4k/#rent-co' title="Render coin lot as span"><code>++rent:co</code></a>
1622+<a class="tooltip" href='/docs/reference/library/4k/#co' title="Literal rendering engine"><code>++co</code></a>
1623+<a class="tooltip" href='/docs/reference/library/4k/#rear-co' title="Prepend and render atom as tape"><code>++rear:co</code></a>
1624+<a class="tooltip" href='/docs/reference/library/4k/#rend-co' title="Render coin lot as tape"><code>++rend:co</code></a>
1625+<a class="tooltip" href='/docs/reference/library/4k/#rent-co' title="Render coin lot as span"><code>++rent:co</code></a>
16261626
16271627### 4l: parsing (atom parsing)
16281628
1629−<a class="tooltip" href='/docs/hoon/library/4l/#so' title="Coin parser engine"><code>++so</code></a>
1630−<a class="tooltip" href='/docs/hoon/library/4l/#bisk-so' title="Parse odor-atom pair"><code>++bisk:so</code></a>
1631−<a class="tooltip" href='/docs/hoon/library/4l/#crub-so' title="Parse @da, @dr, @p, @t"><code>++crub:so</code></a>
1632−<a class="tooltip" href='/docs/hoon/library/4l/#nuck-so' title="Top-level coin parser"><code>++nuck:so</code></a>
1633−<a class="tooltip" href='/docs/hoon/library/4l/#nusk-so' title="Parse coin literal with escapes"><code>++nusk:so</code></a>
1634−<a class="tooltip" href='/docs/hoon/library/4l/#perd-so' title="Parses dime/tiple without standard prefixes"><code>++perd:so</code></a>
1635−<a class="tooltip" href='/docs/hoon/library/4l/#royl-so' title="Parse dime float"><code>++royl:so</code></a>
1636−<a class="tooltip" href='/docs/hoon/library/4l/#royl-cell-so' title="(Undocumented)"><code>++royl-cell:so</code></a>
1637−<a class="tooltip" href='/docs/hoon/library/4l/#tash-so' title="Parse signed dime"><code>++tash:so</code></a>
1638−<a class="tooltip" href='/docs/hoon/library/4l/#twid-so' title="Parse coins without ~ prefix"><code>++twid:so</code></a>
1639−<a class="tooltip" href='/docs/hoon/library/4l/#zust-so' title="Parse prefixed dimes from IP, loobean, or floating point"><code>++zust:so</code></a>
1629+<a class="tooltip" href='/docs/reference/library/4l/#so' title="Coin parser engine"><code>++so</code></a>
1630+<a class="tooltip" href='/docs/reference/library/4l/#bisk-so' title="Parse odor-atom pair"><code>++bisk:so</code></a>
1631+<a class="tooltip" href='/docs/reference/library/4l/#crub-so' title="Parse @da, @dr, @p, @t"><code>++crub:so</code></a>
1632+<a class="tooltip" href='/docs/reference/library/4l/#nuck-so' title="Top-level coin parser"><code>++nuck:so</code></a>
1633+<a class="tooltip" href='/docs/reference/library/4l/#nusk-so' title="Parse coin literal with escapes"><code>++nusk:so</code></a>
1634+<a class="tooltip" href='/docs/reference/library/4l/#perd-so' title="Parses dime/tiple without standard prefixes"><code>++perd:so</code></a>
1635+<a class="tooltip" href='/docs/reference/library/4l/#royl-so' title="Parse dime float"><code>++royl:so</code></a>
1636+<a class="tooltip" href='/docs/reference/library/4l/#royl-cell-so' title="(Undocumented)"><code>++royl-cell:so</code></a>
1637+<a class="tooltip" href='/docs/reference/library/4l/#tash-so' title="Parse signed dime"><code>++tash:so</code></a>
1638+<a class="tooltip" href='/docs/reference/library/4l/#twid-so' title="Parse coins without ~ prefix"><code>++twid:so</code></a>
1639+<a class="tooltip" href='/docs/reference/library/4l/#zust-so' title="Parse prefixed dimes from IP, loobean, or floating point"><code>++zust:so</code></a>
16401640
16411641### 4m: parsing (formatting functions)
16421642
1643−<a class="tooltip" href='/docs/hoon/library/4m/#scot' title="Render dime as cord"><code>++scot</code></a>
1644−<a class="tooltip" href='/docs/hoon/library/4m/#scow' title="Render dime as tape"><code>++scow</code></a>
1645−<a class="tooltip" href='/docs/hoon/library/4m/#slat' title="Curried slaw"><code>++slat</code></a>
1646−<a class="tooltip" href='/docs/hoon/library/4m/#slav' title="Demand: parse cord with input odor"><code>++slav</code></a>
1647−<a class="tooltip" href='/docs/hoon/library/4m/#slaw' title="Parse cord to input odor"><code>++slaw</code></a>
1648−<a class="tooltip" href='/docs/hoon/library/4m/#slay' title="Parse cord to coin"><code>++slay</code></a>
1649−<a class="tooltip" href='/docs/hoon/library/4m/#smyt' title="Render path as tank"><code>++smyt</code></a>
1650−<a class="tooltip" href='/docs/hoon/library/4m/#spat' title="Render path as cord"><code>++spat</code></a>
1651−<a class="tooltip" href='/docs/hoon/library/4m/#spud' title="Render path as tape"><code>++spud</code></a>
1652−<a class="tooltip" href='/docs/hoon/library/4m/#stab' title="Parse cord to path"><code>++stab</code></a>
1643+<a class="tooltip" href='/docs/reference/library/4m/#scot' title="Render dime as cord"><code>++scot</code></a>
1644+<a class="tooltip" href='/docs/reference/library/4m/#scow' title="Render dime as tape"><code>++scow</code></a>
1645+<a class="tooltip" href='/docs/reference/library/4m/#slat' title="Curried slaw"><code>++slat</code></a>
1646+<a class="tooltip" href='/docs/reference/library/4m/#slav' title="Demand: parse cord with input odor"><code>++slav</code></a>
1647+<a class="tooltip" href='/docs/reference/library/4m/#slaw' title="Parse cord to input odor"><code>++slaw</code></a>
1648+<a class="tooltip" href='/docs/reference/library/4m/#slay' title="Parse cord to coin"><code>++slay</code></a>
1649+<a class="tooltip" href='/docs/reference/library/4m/#smyt' title="Render path as tank"><code>++smyt</code></a>
1650+<a class="tooltip" href='/docs/reference/library/4m/#spat' title="Render path as cord"><code>++spat</code></a>
1651+<a class="tooltip" href='/docs/reference/library/4m/#spud' title="Render path as tape"><code>++spud</code></a>
1652+<a class="tooltip" href='/docs/reference/library/4m/#stab' title="Parse cord to path"><code>++stab</code></a>
16531653
16541654### 4n: parsing (virtualization)
16551655
1656−<a class="tooltip" href='/docs/hoon/library/4n/#mack' title="Nock subject to unit"><code>++mack</code></a>
1657−<a class="tooltip" href='/docs/hoon/library/4n/#mink' title="Mock (virtual Nock) interpreter"><code>++mink</code></a>
1658−<a class="tooltip" href='/docs/hoon/library/4n/#mock' title="Compute formula on subject with hint"><code>++mock</code></a>
1659−<a class="tooltip" href='/docs/hoon/library/4n/#mong' title="Slam gate with sample"><code>++mong</code></a>
1660−<a class="tooltip" href='/docs/hoon/library/4n/#mook' title="Intelligently render crash annotation"><code>++mook</code></a>
1661−<a class="tooltip" href='/docs/hoon/library/4n/#mule' title="Typed virtual"><code>++mule</code></a>
1662−<a class="tooltip" href='/docs/hoon/library/4n/#mute' title="Untyped virtual"><code>++mute</code></a>
1656+<a class="tooltip" href='/docs/reference/library/4n/#mack' title="Nock subject to unit"><code>++mack</code></a>
1657+<a class="tooltip" href='/docs/reference/library/4n/#mink' title="Mock (virtual Nock) interpreter"><code>++mink</code></a>
1658+<a class="tooltip" href='/docs/reference/library/4n/#mock' title="Compute formula on subject with hint"><code>++mock</code></a>
1659+<a class="tooltip" href='/docs/reference/library/4n/#mong' title="Slam gate with sample"><code>++mong</code></a>
1660+<a class="tooltip" href='/docs/reference/library/4n/#mook' title="Intelligently render crash annotation"><code>++mook</code></a>
1661+<a class="tooltip" href='/docs/reference/library/4n/#mule' title="Typed virtual"><code>++mule</code></a>
1662+<a class="tooltip" href='/docs/reference/library/4n/#mute' title="Untyped virtual"><code>++mute</code></a>
16631663
16641664### 4o: parsing (molds)
16651665
1666−<a class="tooltip" href='/docs/hoon/library/4o/#abel' title="Compiler alias"><code>++abel</code></a>
1667−<a class="tooltip" href='/docs/hoon/library/4o/#aura' title="'Type' of atom"><code>++aura</code></a>
1668−<a class="tooltip" href='/docs/hoon/library/4o/#axis' title="Nock axis"><code>++axis</code></a>
1669−<a class="tooltip" href='/docs/hoon/library/4o/#base' title="Base type"><code>++base</code></a>
1670−<a class="tooltip" href='/docs/hoon/library/4o/#bean' title="Boolean"><code>++bean</code></a>
1671−<a class="tooltip" href='/docs/hoon/library/4o/#beer' title="Tape builder"><code>++beer</code></a>
1672−<a class="tooltip" href='/docs/hoon/library/4o/#beet' title="XML interpolation cases"><code>++beet</code></a>
1673−<a class="tooltip" href='/docs/hoon/library/4o/#chum' title="Jet hint information"><code>++chum</code></a>
1674−<a class="tooltip" href='/docs/hoon/library/4o/#coil' title="Tuple of core information"><code>++coil</code></a>
1675−<a class="tooltip" href='/docs/hoon/library/4o/#foot' title="Cases of arms by variance model"><code>++foot</code></a>
1676−<a class="tooltip" href='/docs/hoon/library/4o/#limb' title="Reference into subject by name/axis"><code>++limb</code></a>
1677−<a class="tooltip" href='/docs/hoon/library/4o/#line' title="(Undocumented)"><code>++line</code></a>
1678−<a class="tooltip" href='/docs/hoon/library/4o/#metl' title="(Undocumented)"><code>++metl</code></a>
1679−<a class="tooltip" href='/docs/hoon/library/4o/#nock' title="Virtual machine (see Nock)"><code>++nock</code></a>
1680−<a class="tooltip" href='/docs/hoon/library/4o/#noun' title="(Undocumented)"><code>++noun</code></a>
1681−<a class="tooltip" href='/docs/hoon/library/4o/#null' title="(Undocumented)"><code>++null</code></a>
1682−<a class="tooltip" href='/docs/hoon/library/4o/#port' title="(Undocumented)"><code>++port</code></a>
1683−<a class="tooltip" href='/docs/hoon/library/4o/#span' title="ASCII atom"><code>++span</code></a>
1684−<a class="tooltip" href='/docs/hoon/library/4o/#tiki' title="(Undocumented)"><code>++tiki</code></a>
1685−<a class="tooltip" href='/docs/hoon/library/4o/#toga' title="Tree of faces"><code>++toga</code></a>
1686−<a class="tooltip" href='/docs/hoon/library/4o/#tone'><code>++tone</code></a>
1687−<a class="tooltip" href='/docs/hoon/library/4o/#tuna' title="XML template tree"><code>++tuna</code></a>
1688−<a class="tooltip" href='/docs/hoon/library/4o/#tusk' title="List of expressions"><code>++tusk</code></a>
1689−<a class="tooltip" href='/docs/hoon/library/4o/#tyke' title="List of 'maybe' hoons"><code>++tyke</code></a>
1690−<a class="tooltip" href='/docs/hoon/library/4o/#typo' title="Pointer for ++type"><code>++typo</code></a>
1691−<a class="tooltip" href='/docs/hoon/library/4o/#tyre' title="List, term hoon"><code>++tyre</code></a>
1692−<a class="tooltip" href='/docs/hoon/library/4o/#vase' title="Typed data"><code>++vase</code></a>
1693−<a class="tooltip" href='/docs/hoon/library/4o/#vise' title="Convert during reboot"><code>++vise</code></a>
1694−<a class="tooltip" href='/docs/hoon/library/4o/#wing' title="Address in subject"><code>++wing</code></a>
1666+<a class="tooltip" href='/docs/reference/library/4o/#abel' title="Compiler alias"><code>++abel</code></a>
1667+<a class="tooltip" href='/docs/reference/library/4o/#aura' title="'Type' of atom"><code>++aura</code></a>
1668+<a class="tooltip" href='/docs/reference/library/4o/#axis' title="Nock axis"><code>++axis</code></a>
1669+<a class="tooltip" href='/docs/reference/library/4o/#base' title="Base type"><code>++base</code></a>
1670+<a class="tooltip" href='/docs/reference/library/4o/#bean' title="Boolean"><code>++bean</code></a>
1671+<a class="tooltip" href='/docs/reference/library/4o/#beer' title="Tape builder"><code>++beer</code></a>
1672+<a class="tooltip" href='/docs/reference/library/4o/#beet' title="XML interpolation cases"><code>++beet</code></a>
1673+<a class="tooltip" href='/docs/reference/library/4o/#chum' title="Jet hint information"><code>++chum</code></a>
1674+<a class="tooltip" href='/docs/reference/library/4o/#coil' title="Tuple of core information"><code>++coil</code></a>
1675+<a class="tooltip" href='/docs/reference/library/4o/#foot' title="Cases of arms by variance model"><code>++foot</code></a>
1676+<a class="tooltip" href='/docs/reference/library/4o/#limb' title="Reference into subject by name/axis"><code>++limb</code></a>
1677+<a class="tooltip" href='/docs/reference/library/4o/#line' title="(Undocumented)"><code>++line</code></a>
1678+<a class="tooltip" href='/docs/reference/library/4o/#metl' title="(Undocumented)"><code>++metl</code></a>
1679+<a class="tooltip" href='/docs/reference/library/4o/#nock' title="Virtual machine (see Nock)"><code>++nock</code></a>
1680+<a class="tooltip" href='/docs/reference/library/4o/#noun' title="(Undocumented)"><code>++noun</code></a>
1681+<a class="tooltip" href='/docs/reference/library/4o/#null' title="(Undocumented)"><code>++null</code></a>
1682+<a class="tooltip" href='/docs/reference/library/4o/#port' title="(Undocumented)"><code>++port</code></a>
1683+<a class="tooltip" href='/docs/reference/library/4o/#span' title="ASCII atom"><code>++span</code></a>
1684+<a class="tooltip" href='/docs/reference/library/4o/#tiki' title="(Undocumented)"><code>++tiki</code></a>
1685+<a class="tooltip" href='/docs/reference/library/4o/#toga' title="Tree of faces"><code>++toga</code></a>
1686+<a class="tooltip" href='/docs/reference/library/4o/#tone'><code>++tone</code></a>
1687+<a class="tooltip" href='/docs/reference/library/4o/#tuna' title="XML template tree"><code>++tuna</code></a>
1688+<a class="tooltip" href='/docs/reference/library/4o/#tusk' title="List of expressions"><code>++tusk</code></a>
1689+<a class="tooltip" href='/docs/reference/library/4o/#tyke' title="List of 'maybe' hoons"><code>++tyke</code></a>
1690+<a class="tooltip" href='/docs/reference/library/4o/#typo' title="Pointer for ++type"><code>++typo</code></a>
1691+<a class="tooltip" href='/docs/reference/library/4o/#tyre' title="List, term hoon"><code>++tyre</code></a>
1692+<a class="tooltip" href='/docs/reference/library/4o/#vase' title="Typed data"><code>++vase</code></a>
1693+<a class="tooltip" href='/docs/reference/library/4o/#vise' title="Convert during reboot"><code>++vise</code></a>
1694+<a class="tooltip" href='/docs/reference/library/4o/#wing' title="Address in subject"><code>++wing</code></a>
16951695
16961696### 5a: compiler utilities
16971697
1698−<a class="tooltip" href='/docs/hoon/library/5a/'>_(To be documented)_</a>
1698+<a class="tooltip" href='/docs/reference/library/5a/'>_(To be documented)_</a>
16991699
17001700### 5b: macro expansion
17011701
1702−<a class="tooltip" href='/docs/hoon/library/5b/'>_(To be documented)_</a>
1702+<a class="tooltip" href='/docs/reference/library/5b/'>_(To be documented)_</a>
17031703
17041704### 5c: compiler backend and prettyprinter
17051705
1706−<a class="tooltip" href='/docs/hoon/library/5c/'>_(To be documented)_</a>
1706+<a class="tooltip" href='/docs/reference/library/5c/'>_(To be documented)_</a>
17071707
17081708### 5d: parser
17091709
1710−<a class="tooltip" href='/docs/hoon/library/5d/'>_(To be documented)_</a>
1710+<a class="tooltip" href='/docs/reference/library/5d/'>_(To be documented)_</a>
17111711
17121712### 5e: caching compiler
17131713
1714−<a class="tooltip" href='/docs/hoon/library/5e/'>_(To be documented)_</a>
1714+<a class="tooltip" href='/docs/reference/library/5e/'>_(To be documented)_</a>
17151715
17161716### 5f: molds and mold builders
17171717
1718−<a class="tooltip" href='/docs/hoon/library/5f/#mane'><code>++mane</code></a>
1719−<a class="tooltip" href='/docs/hoon/library/5f/#manx'><code>++manx</code></a>
1720−<a class="tooltip" href='/docs/hoon/library/5f/#marl'><code>++marl</code></a>
1721−<a class="tooltip" href='/docs/hoon/library/5f/#mars'><code>++mars</code></a>
1722−<a class="tooltip" href='/docs/hoon/library/5f/#mart'><code>++mart</code></a>
1723−<a class="tooltip" href='/docs/hoon/library/5f/#marx'><code>++marx</code></a>
1724−<a class="tooltip" href='/docs/hoon/library/5f/#pass'><code>++pass</code></a>
1725−<a class="tooltip" href='/docs/hoon/library/5f/#ring'><code>++ring</code></a>
1726−<a class="tooltip" href='/docs/hoon/library/5f/#time'><code>++time</code></a>
1718+<a class="tooltip" href='/docs/reference/library/5f/#mane'><code>++mane</code></a>
1719+<a class="tooltip" href='/docs/reference/library/5f/#manx'><code>++manx</code></a>
1720+<a class="tooltip" href='/docs/reference/library/5f/#marl'><code>++marl</code></a>
1721+<a class="tooltip" href='/docs/reference/library/5f/#mars'><code>++mars</code></a>
1722+<a class="tooltip" href='/docs/reference/library/5f/#mart'><code>++mart</code></a>
1723+<a class="tooltip" href='/docs/reference/library/5f/#marx'><code>++marx</code></a>
1724+<a class="tooltip" href='/docs/reference/library/5f/#pass'><code>++pass</code></a>
1725+<a class="tooltip" href='/docs/reference/library/5f/#ring'><code>++ring</code></a>
1726+<a class="tooltip" href='/docs/reference/library/5f/#time'><code>++time</code></a>
17271727
17281728### 5g: profiling support
17291729
1730−<a class="tooltip" href='/docs/hoon/library/5g/'>_(To be documented)_</a>
1730+<a class="tooltip" href='/docs/reference/library/5g/'>_(To be documented)_</a>
tutorials/arvo/gall.md+1−1
@@ -1064,7 +1064,7 @@ from the command line, which we we did with `:echo 5`
10641064(`:[app-name] [argument(s)]`).
10651065
10661066In this case, `++poke-noun` takes an argument (**sample**) `arg` and
1067−prints it to dojo with `~&` ([sigpam](/docs/hoon/hoon-expressions/rune/sig#sigpam/)).
1067+prints it to dojo with `~&` ([sigpam](/docs/reference/hoon-expressions/rune/sig#sigpam/)).
10681068This is an unusual rune that formally "does nothing", but the interpreter
10691069detects it and printfs the first child, before executing the second as if the
10701070first didn't exist. This is a slightly hacky way of printing to the console,
tutorials/arvo/glossary.md+19−19
@@ -43,7 +43,7 @@ dry.
4343 path, which works as if we expanded the callee with the caller's
4444 context.
4545
46−_See [advanced types](/docs/hoon/hoon-expressions/advanced/)_.
46+_See [advanced types](/docs/reference/hoon-expressions/advanced/)_.
4747
4848
4949
@@ -190,7 +190,7 @@ An atom type is _warm_ or _cold_ based on whether the constant exists.
190190
191191 If the constant is `[~ atom]`, its only legal value is `atom`.
192192
193−_See [basic types](@/docs/hoon/hoon-expressions/basic.md)_
193+_See [basic types](@/docs/reference/hoon-expressions/basic.md)_
194194
195195### aura
196196
@@ -246,7 +246,7 @@ Aura Meaning Example Literal Syntax
246246 @ux unsigned hexadecimal 0x5f5.e138
247247```
248248
249−You can find the list of all auras [here](@/docs/hoon/hoon-expressions/rune/constants.md).
249+You can find the list of all auras [here](@/docs/reference/hoon-expressions/rune/constants.md).
250250
251251### blocksize
252252
@@ -310,7 +310,7 @@ translate to cores in Hoon.
310310
311311 The data-containing tail of a core.
312312
313−_See [basic types](@/docs/hoon/hoon-expressions/basic.md)._
313+_See [basic types](@/docs/reference/hoon-expressions/basic.md)._
314314
315315### Dojo
316316
@@ -356,7 +356,7 @@ In the above example, `a` is the face and `2` is the value.
356356Hoon has no scope or symbol-table; there is only the subject. To "declare" a
357357"variable" is to construct a new subject: `[name=value old-subject]`.
358358
359−_See [advanced types](@/docs/hoon/hoon-expressions/advanced.md)_.
359+_See [advanced types](@/docs/reference/hoon-expressions/advanced.md)_.
360360
361361
362362### flag
@@ -368,7 +368,7 @@ _no_.
368368
369369A _gate_ is a [core](#core) with one [arm](#arm) -- Hoon's closest
370370analog to a function. To call a gate on an argument, replace the sample
371−(at [tree address](@/docs/hoon/hoon-expressions/limb/limb.md) `+6`
371+(at [tree address](@/docs/reference/hoon-expressions/limb/limb.md) `+6`
372372in the core) with the argument, and then compute the arm.
373373
374374The payload of a gate has a shape of `[sample context]`.
@@ -381,8 +381,8 @@ The payload of a gate has a shape of `[sample context]`.
381381
382382 The subject in which the gate was defined.
383383
384−_See [basic types](@/docs/hoon/hoon-expressions/basic.md),
385−[`%-` ("cenhep")](@/docs/hoon/hoon-expressions/rune/cen.md#cenhep) (the
384+_See [basic types](@/docs/reference/hoon-expressions/basic.md),
385+[`%-` ("cenhep")](@/docs/reference/hoon-expressions/rune/cen.md#cenhep) (the
386386[rune](#rune) for calling a `gate`)._
387387
388388### generator
@@ -456,7 +456,7 @@ to Nock.
456456
457457The Hoon source file is located in `/home/sys/hoon.hoon` within your urbit.
458458
459−_More information can be found in the [hoon](@/docs/hoon/_index.md) section._
459+_More information can be found in the [hoon](@/docs/reference/_index.md) section._
460460
461461#### Mint
462462
@@ -499,7 +499,7 @@ The result should be:
499499[%clls p=[%sand p=%ud q=12] q=[%sand p=%ud q=7] r=[%rock p=%tas q=97]]
500500```
501501
502−See [expression reference](@/docs/hoon/hoon-expressions/rune/_index.md) for the full list of hoons.
502+See [expression reference](@/docs/reference/hoon-expressions/rune/_index.md) for the full list of hoons.
503503
504504### irregular form
505505
@@ -507,7 +507,7 @@ Irregular forms are alternative ways of writing Hoon expressions, alternatives
507507to the digraphic runes such as `:~`. Irregular forms are usually more compact
508508than regular forms.=
509509
510−_See [irregular forms](@/docs/hoon/hoon-expressions/irregular.md)._
510+_See [irregular forms](@/docs/reference/hoon-expressions/irregular.md)._
511511
512512### jet
513513
@@ -570,7 +570,7 @@ found, the result is the product of the arm.
570570 a search path into the subject, composed of
571571 limbs. Search occurs from right to left (`a.b` means `b` within `a`).
572572
573−_See [Limbs and wings](@/docs/hoon/hoon-expressions/limb/_index.md)_
573+_See [Limbs and wings](@/docs/reference/hoon-expressions/limb/_index.md)_
574574
575575### move
576576
@@ -636,7 +636,7 @@ properties of the type of a compatible core). The default is `gold`
636636- `zinc`: _covariant_
637637- `iron`: _contravariant_
638638
639−_See [advanced types](@/docs/hoon/hoon-expressions/advanced.md)_.
639+_See [advanced types](@/docs/reference/hoon-expressions/advanced.md)_.
640640
641641### ship
642642
@@ -718,17 +718,17 @@ Here's some common structure terminology:
718718
719719#### icon: The type of the mold's range
720720
721−_See [mold hoons](/docs/hoon/hoon-expressions/rune/buc/)._
721+_See [mold hoons](/docs/reference/hoon-expressions/rune/buc/)._
722722
723723### rune
724724
725725A Hoon _rune_ is a pair of ASCII symbols used to begin a
726726[Hoon expression](#a-hoon).
727727
728−For example, the rune [`?:`](@/docs/hoon/hoon-expressions/rune/wut.md#wutcol) is
728+For example, the rune [`?:`](@/docs/reference/hoon-expressions/rune/wut.md#wutcol) is
729729Hoon's most common conditional, a branch on a boolean test. The first
730730symbol in a rune represents a family of related runes. For example, the
731−[`?` family](@/docs/hoon/hoon-expressions/rune/wut.md) are all conditionals.
731+[`?` family](@/docs/reference/hoon-expressions/rune/wut.md) are all conditionals.
732732
733733The result of parsing a Hoon source expression&mdash;the rune, followed
734734by its respective children&mdash;into an AST node is simply called
@@ -764,7 +764,7 @@ Tall hoons can contain flat hoons, but not vice versa. All irregular
764764forms are flat.
765765
766766_See [hoon concept](#a-hoon),
767−[expressions](@/docs/hoon/hoon-expressions/rune/_index.md).
767+[expressions](@/docs/reference/hoon-expressions/rune/_index.md).
768768
769769### Sail
770770
@@ -775,7 +775,7 @@ _Sail_ is the Hoon markup language for XML.
775775To _scry_ means to request data from the Arvo namespace and bring it
776776to userspace.
777777
778−_See [.^ (dot-ket)](@/docs/hoon/hoon-expressions/rune/dot.md#dotket)._
778+_See [.^ (dot-ket)](@/docs/reference/hoon-expressions/rune/dot.md#dotket)._
779779
780780### slot
781781
@@ -816,7 +816,7 @@ of the simpler built-in types.
816816 If `nest` produces no, the Hoon programmer will receive a `nest-fail`
817817 error. This is one of the most commons errors in Hoon programming.
818818
819− _See [advanced types](@/docs/hoon/hoon-expressions/advanced.md)_ and [troubleshooting](@/docs/arvo/ship-troubleshooting.md).
819+ _See [advanced types](@/docs/reference/hoon-expressions/advanced.md)_ and [troubleshooting](@/docs/arvo/ship-troubleshooting.md).
820820
821821
822822### Unit
tutorials/hoon/bank-account.md+1−1
@@ -75,7 +75,7 @@ Each of these arms produces a gate which takes an `@ud` argument. Each of these
7575+>.$(balance (add balance amount))
7676```
7777
78−`+>` is [wing syntax](/docs/hoon/hoon-expressions/limb/limb/). This particularly wing construction looks for the the tail of the tail (the third element) in `$`, the subject of the gate we are in, which is the entire `new-account` door. We change `balance` to be the result of adding `balance` and `amount` and produce the door as the result. `withdraw` functions the same way only doing subtraction instead of addition.
78+`+>` is [wing syntax](/docs/reference/hoon-expressions/limb/limb/). This particularly wing construction looks for the the tail of the tail (the third element) in `$`, the subject of the gate we are in, which is the entire `new-account` door. We change `balance` to be the result of adding `balance` and `amount` and produce the door as the result. `withdraw` functions the same way only doing subtraction instead of addition.
7979
8080It's important to notice that the sample, `balance`, is stored as part of the door rather than existing outside of it.
8181
tutorials/hoon/conditionals.md+1−1
@@ -70,6 +70,6 @@ We only went into three "wut" runes in our walkthrough, but there are many other
7070
7171- `?|` takes an indefinite number of children. It's the logical "or" operator. It checks if at least one of its children is true.
7272
73−To see an exhaustive list of "wut" runes, check out the [reference documentation on conditionals](/docs/hoon/hoon-expressions/rune/wut/).
73+To see an exhaustive list of "wut" runes, check out the [reference documentation on conditionals](/docs/reference/hoon-expressions/rune/wut/).
7474
7575### [Next Up: Reading -- Lists](../lists)
tutorials/hoon/hoon-syntax.md+2−2
@@ -309,10 +309,10 @@ Standard library functions are often built with other standard library functions
309309
310310The Hoon syntax can be intimidating for the uninitiated, so it's good to remember where you can look up expressions can be found. The [reference section](/docs/reference/) itself is a good place to find the reference materials that you need. These children sections are likely to be useful:
311311
312−- The [Runes](/docs/hoon/hoon-expressions/) page will show you how to use any Hoon rune.
312+- The [Runes](/docs/reference/hoon-expressions/) page will show you how to use any Hoon rune.
313313- The [Cheat sheet](/docs/reference/cheat-sheet/) is a more compact place to look up rune expressions.
314314- The [Standard library](/docs/reference/library/) section has its sub-pages arranged by category. So arithmetic functions, for example, are all found on the same page.
315−- The [Hoon Style Guide](/docs/hoon/style/) will show you how to write your Hoon code so that it's idiomatic and easily understood by others.
315+- The [Hoon Style Guide](/docs/reference/style/) will show you how to write your Hoon code so that it's idiomatic and easily understood by others.
316316
317317### Debugging
318318