2title = "Standard library"
5template = "sections/docs/chapters.html"
6insert_anchor_links = "right"
9Documentation for the standard library.
11Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
17<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ab' title="Primitive parser engine"><code>++ab</code></a>
18<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#absfl' title="Absolute value"><code>++abs:fl</code></a>
19<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#abssi' title="Absolute value (signed integer)"><code>++abs:si</code></a>
20<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#abel' title="Original sin: type"><code>+$abel</code></a>
21<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ace' title="Parse space"><code>++ace</code></a>
22<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#a-coco' title="Render decimal"><code>++a-co:co</code></a>
23<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#add' title="Add"><code>++add</code></a>
24<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addff' title="Add (floating point)"><code>++add:ff</code></a>
25<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addfl' title="Add (with exact/rounded flag)"><code>++add:fl</code></a>
26<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#addja' title="Prepend to list"><code>++add:ja</code></a>
27<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addrd' title="Add (doubleprecision float)"><code>++add:rd</code></a>
28<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addrh' title="Add (halfprecision float)"><code>++add:rh</code></a>
29<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addrs' title="Add (singleprecision float)"><code>++add:rs</code></a>
30<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addrq' title="Add (quadprecision float)"><code>++add:rq</code></a>
31<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#aftr' title="Pair after"><code>++aftr</code></a>
32<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ag' title="Toplevel atom parser engine"><code>++ag</code></a>
33<a class="tooltip" href='/docs/hoon/reference/stdlib/5b/#ah' title="Tiki engine"><code>++ah</code></a>
34<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#alas' title="Alias list"><code>+$alas</code></a>
35<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#alf' title="Parse alphabetic characters"><code>++alf</code></a>
36<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#allby' title="Logical AND (map and wet gate)"><code>++all:by</code></a>
37<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#allin' title="Logical AND (set and wet gate)"><code>++all:in</code></a>
38<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#aln' title="Parse alphanumeric characters"><code>++aln</code></a>
39<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#alp' title="Parse alphanumeric characters and "><code>++alp</code></a>
40<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#anyby' title="Logical OR (map and wet gate)"><code>++any:by</code></a>
41<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#anyin' title="Logical OR (set and gate)"><code>++any:in</code></a>
42<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#aor' title="Alphabetical order"><code>++aor</code></a>
43<a class="tooltip" href='/docs/hoon/reference/stdlib/5b/#ap' title="Hoon engine"><code>++ap</code></a>
44<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#apeag' title="Parse 0 or rule"><code>++ape:ag</code></a>
45<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#aptby' title="Check correctness (map)"><code>++apt:by</code></a>
46<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#aptin' title="Check correctness (set)"><code>++apt:in</code></a>
47<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#aptto' title="Check correctness of queue"><code>++apt:to</code></a>
48<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#at' title="Basic printing"><code>++at</code></a>
49<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#atom' title="Just an atom"><code>+$atom</code></a>
50<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#aura' title="'Type' of atom"><code>+$aura</code></a>
51<a class="tooltip" href='/docs/hoon/reference/stdlib/5b/#ax' title="Spec engine"><code>++ax</code></a>
52<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#axis' title="Tree address"><code>+$axis</code></a>
56<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#bake' title="Convert wet gate to dry gate"><code>++bake</code></a>
57<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#balto' title="Balance queue"><code>++bal:to</code></a>
58<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#bar' title="Parse | (bar)"><code>++bar</code></a>
59<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#bas' title="Parse \ (bas)"><code>++bas</code></a>
60<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#base' title="Base type"><code>+$base</code></a>
61<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#bass' title="Parser modifier (LSBordered ++list as atom of ++base)"><code>++bass</code></a>
62<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bayag' title="Parses binary number"><code>++bay:ag</code></a>
63<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#bean' title="Boolean"><code>+$bean</code></a>
64<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#beerhoot' title="Simple embed"><code>+$beer:hoot</code></a>
65<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#bend' title="Conditional composer"><code>++bend</code></a>
66<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#bet' title="Parse hep and lus axis syntax"><code>++bet</code></a>
67<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#bex' title="Binary exponent"><code>++bex</code></a>
68<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bifff' title="Converts from fn to @r"><code>++bif:ff</code></a>
69<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#bifby' title="Bifurcate map"><code>++bif:by</code></a>
70<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#bifin' title="Bifurcate set"><code>++bif:in</code></a>
71<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#biff' title="Unit as argument"><code>++biff</code></a>
72<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#bin' title="Binary to atom"><code>++bin</code></a>
73<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#bind' title="Nonunit function to unit, producing unit"><code>++bind</code></a>
74<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bipag' title="Parse IPv6"><code>++bip:ag</code></a>
75<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitff' title="fn to @r with rounding"><code>++bit:ff</code></a>
76<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitrd' title="fn to doubleprecision binary float"><code>++bit:rd</code></a>
77<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitrh' title="fn to halfprecision float"><code>++bit:rh</code></a>
78<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitrs' title="fn to singleprecision float"><code>++bit:rs</code></a>
79<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitrq' title="fn to quadprecision float"><code>++bit:rq</code></a>
80<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#bite' title="Atom slice specificier"><code>$bite</code></a>
81<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bixab' title="Parse hex pair"><code>++bix:ab</code></a>
82<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#biskso' title="Parse auraatom pair"><code>++bisk:so</code></a>
83<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#block' title="Abstract identity of resource awaited"><code>+$block</code></a>
84<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#bloq' title="Blocksize"><code>$bloq</code></a>
85<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#bond' title="Replace null"><code>++bond</code></a>
86<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#bool' title="Make loobean (compiler utility)"><code>++bool</code></a>
87<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#boss' title="Parser modifier: LSB"><code>++boss</code></a>
88<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#both' title="Group unit values into pair"><code>++both</code></a>
89<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#buc' title="Parse $ (buc)"><code>++buc</code></a>
90<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#but' title="Parse binary digit"><code>++but</code></a>
91<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#byts' title="bytes, LSB first"><code>+$byts</code></a>
95<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#cne' title="Render base58check"><code>++c:ne</code></a>
96<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#cab' title="Parse _ (cab)"><code>++cab</code></a>
97<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#cain' title="Tank pretty-print"><code>++cain</code></a>
98<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#can' title="Assemble"><code>++can</code></a>
99<a class="tooltip" href='/docs/hoon/reference/stdlib/1b/#cap' title="Tree head"><code>++cap</code></a>
100<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#cass' title="To lowercase"><code>++cass</code></a>
101<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#cat' title="Concatenate"><code>++cat</code></a>
102<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#c-coco' title="Render base58check"><code>++c-co:co</code></a>
103<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#cell' title="Make %cell type (compiler utility)"><code>++cell</code></a>
104<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#cen' title="Parse % (cen)"><code>++cen</code></a>
105<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#cetyo' title="Days in a century"><code>++cet:yo</code></a>
106<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#chafa' title="Decode base58check character"><code>++cha:fa</code></a>
107<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#char' title="Character"><code>+$char</code></a>
108<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#chum' title="Jet hint information"><code>+$chum</code></a>
109<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#cit' title="Octal digit"><code>++cit</code></a>
110<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#clap' title="Combine two units with function"><code>++clap</code></a>
111<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#clef' title="Compose two units with function"><code>++clef</code></a>
112<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#cmpsi' title="Compare (signed integer)"><code>++cmp:si</code></a>
113<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#co' title="Literal rendering engine"><code>++co</code></a>
114<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#coil' title="Tuple of core information"><code>+$coil</code></a>
115<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#coin' title="Nounliteral syntax cases"><code>+$coin</code></a>
116<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#col' title="Parse : (col)"><code>++col</code></a>
117<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#cold' title="Replace with constant"><code>++cold</code></a>
118<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#com' title="Parse , (com)"><code>++com</code></a>
119<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#comb' title="Combine two formulas (compiler utility)"><code>++comb</code></a>
120<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#comp' title="Arbitrary compose"><code>++comp</code></a>
121<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#con' title="Binary OR"><code>++con</code></a>
122<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#cond' title="?: compile (compiler utility)"><code>++cond</code></a>
123<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#cons' title="Make formula cell (compiler utility)"><code>++cons</code></a>
124<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#cook' title="Apply gate"><code>++cook</code></a>
125<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#cord' title="UTF8 text"><code>+$cord</code></a>
126<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#core' title="Make %core type (compiler utility)"><code>++core</code></a>
127<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#cork' title="Compose forward"><code>++cork</code></a>
128<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#corl' title="Compose backward"><code>++corl</code></a>
129<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#cove' title="Extract [0 *] axis (compiler utility)"><code>++cove</code></a>
130<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#crib' title="Summary and details"><code>+$crib</code></a>
131<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#crip' title="Tape to cord"><code>++crip</code></a>
132<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#crubso' title="Parse @da, @dr, @p, @t"><code>++crub:so</code></a>
133<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#cue' title="Unpack atom to noun"><code>++cue</code></a>
134<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#curr' title="Rightcurry a gate"><code>++curr</code></a>
135<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#cury' title="Curry left a gate"><code>++cury</code></a>
136<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#cuss' title="To uppercase"><code>++cuss</code></a>
137<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#cut' title="Slice"><code>++cut</code></a>
141<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dne' title="Render decimal"><code>++d:ne</code></a>
142<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#date' title="Parsed date"><code>+$date</code></a>
143<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#dayyo' title="Seconds in day"><code>++day:yo</code></a>
144<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#d-coco' title="Render decimal with min length"><code>++d-co:co</code></a>
145<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#dec' title="Decrement"><code>++dec</code></a>
146<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#delby' title="Delete (map)"><code>++del:by</code></a>
147<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#delin' title="Delete (set)"><code>++del:in</code></a>
148<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#delju' title="Delete (jug)"><code>++del:ju</code></a>
149<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dem' title="Decimal to atom"><code>++dem</code></a>
150<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#demag' title="Parse decmal with dots"><code>++dem:ag</code></a>
151<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#denfa' title="Decode base58check"><code>++den:fa</code></a>
152<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#denfl' title="Denormalizes (floating point)"><code>++den:fl</code></a>
153<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#depto' title="Maximum depth (queue)"><code>++dep:to</code></a>
154<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#difby' title="Difference between maps"><code>++dif:by</code></a>
155<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#diffe' title="Difference between atoms (modular basis)"><code>++dif:fe</code></a>
156<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#diffo' title='Subtraction (modular base)'><code>++dif:fo</code></a>
157<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#difin' title='Difference (set)'><code>++dif:in</code></a>
158<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#difsi' title="Subtraction (signed integer)"><code>++dif:si</code></a>
159<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#digby' title="Address of key (map)"><code>++dig:by</code></a>
160<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#digin' title="Address of a in set"><code>++dig:in</code></a>
161<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dimag' title="Parse decimal number"><code>++dim:ag</code></a>
162<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#dime' title="Auraatom pair"><code>+$dime</code></a>
163<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#dis' title="Binary AND (atoms)"><code>++dis</code></a>
164<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dit' title="Decimal digit"><code>++dit</code></a>
165<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#div' title="Divide"><code>++div</code></a>
166<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divff' title="Divide (IEEE float)"><code>++div:ff</code></a>
167<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divfl' title="Divide (signed and unsigned integer cell)"><code>++div:fl</code></a>
168<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divrd' title="Double precision float"><code>++div:rd</code></a>
169<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divrh' title="Divide (halfprecision float)"><code>++div:rh</code></a>
170<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divrs' title="Divide (singleprecision float)"><code>++div:rs</code></a>
171<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divrq' title="Divide (quadprecision float)"><code>++div:rq</code></a>
172<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dof' title="Hep & optional gap"><code>++dof</code></a>
173<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dog' title="Optional gap"><code>++dog</code></a>
174<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#doh' title="@p separator"><code>++doh</code></a>
175<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#doq' title="Parse double quote"><code>++doq</code></a>
176<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#dor' title="Depth order"><code>++dor</code></a>
177<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#doss' title="Profiling"><code>+$doss</code></a>
178<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#dot' title="Parse period"><code>++dot</code></a>
179<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgff' title="@r to decimal float"><code>++drg:ff</code></a>
180<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgfl' title="Get printable decimal (signed and unsigned integer cell)"><code>++drg:fl</code></a>
181<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgrd' title="@rd to decimal float"><code>++drg:rd</code></a>
182<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgrh' title="@rh to decimal float"><code>++drg:rh</code></a>
183<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgrs' title="@rs to decimal float"><code>++drg:rs</code></a>
184<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgrq' title="@rq to decimal float"><code>++drg:rq</code></a>
185<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#drop' title="Unit to list"><code>++drop</code></a>
186<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#dulsi' title="Modulus (signed integer)"><code>++dul:si</code></a>
187<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dumag' title="Parse decimal with leading zero"><code>++dum:ag</code></a>
188<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dun' title=" to ~"><code>++dun</code></a>
189<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#duz' title="== to ~"><code>++duz</code></a>
190<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#dvr' title="Divide (with remainder)"><code>++dvr</code></a>
194<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#eadfl' title="Exact add"><code>++ead:fl</code></a>
195<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#each' title="Mold of fork between two types"><code>++each</code></a>
196<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#easy' title="Always parse"><code>++easy</code></a>
197<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#ed-coco' title="Format with decimal place"><code>++ed-co:co</code></a>
198<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#edge' title="Parsing location metadata"><code>+$edge</code></a>
199<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#effob' title="murmur3-based pseudorandom function"><code>++eff:ob</code></a>
200<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#egcd' title="Extended Euclidean algorithm"><code>++egcd</code></a>
201<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#em-coco' title="Render in numeric base"><code>++em-co:co</code></a>
202<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emnfl' title="Minimum exponent"><code>++emn:fl</code></a>
203<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emufl' title="Exact multiply"><code>++emu:fl</code></a>
204<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emxfl' title="Maximum exponent"><code>++emx:fl</code></a>
205<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#encfa' title="Encode base58check"><code>++enc:fa</code></a>
206<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#end' title="Tail"><code>++end</code></a>
207<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equff' title="Equals (IEEE float)"><code>++equ:ff</code></a>
208<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equfl' title="Equals (signed and unsigned integer cell)"><code>++equ:fl</code></a>
209<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equrd' title="Equals (doubleprecision float)"><code>++equ:rd</code></a>
210<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equrh' title="Equals (halfprecision float)"><code>++equ:rh</code></a>
211<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equrs' title="Equals (singleprecision float)"><code>++equ:rs</code></a>
212<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equrq' title="Equals (quadprecision float)"><code>++equ:rq</code></a>
213<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#erayo' title="Leapyear period"><code>++era:yo</code></a>
214<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#expff' title="Get exponent (IEEE float)"><code>++exp:ff</code></a>
215<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#expfo' title="Exponent (modular base)"><code>++exp:fo</code></a>
216<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exprd' title="Exponent (@rd)"><code>++exp:rd</code></a>
217<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exprh' title="Exponent (halfprecision float)"><code>++exp:rh</code></a>
218<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exprs' title="Exponent (@rs)"><code>++exp:rs</code></a>
219<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exprq' title="Exponent (quadprecision float)"><code>++exp:rq</code></a>
223<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#fa' title="base58check"><code>++fa</code></a>
224<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#face' title="Make %face type (compiler utility)"><code>++face</code></a>
225<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#fail' title="Never parse"><code>++fail</code></a>
226<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#fall' title="Give unit a default value"><code>++fall</code></a>
227<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#fand' title="All indices in list"><code>++fand</code></a>
228<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#fas' title="Parse / (fas)"><code>++fas</code></a>
229<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#fe' title="Modulo bloq"><code>++fe</code></a>
230<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#fedag' title="Parse @p"><code>++fed:ag</code></a>
231<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#feob' title="Internal function to +fee"><code>++fe:ob</code></a>
232<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#feeob' title="Feistel cipher Fe in B&R (2002)"><code>++fee:ob</code></a>
233<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#feenob' title="Reverse +fee"><code>++feen:ob</code></a>
234<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#feinob' title="Conceal structure v3"><code>++fein:ob</code></a>
235<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#feisob' title="Four-round generalised Feistel cipher over the domain [0, 2^32 - 2^16 - 1]"><code>++feis:ob</code></a>
236<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#femab' title="Parse base58check char"><code>++fem:ab</code></a>
237<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#fenob' title="Reverse +fe"><code>++fen:ob</code></a>
238<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#feqag' title="Parse @q phonetic base"><code>++feq:ag</code></a>
239<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#fil' title="Fill bloqstream"><code>++fil</code></a>
240<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#fimag' title="Parse base58check"><code>++fim:ag</code></a>
241<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#find' title="First index in list"><code>++find</code></a>
242<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#fitz' title="Odor compatibility (compiler utility)"><code>++fitz</code></a>
243<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#flag' title="Boolean (flag)"><code>+$flag</code></a>
244<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#flan' title="Loobean & (compiler utility)"><code>++flan</code></a>
245<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#flifl' title="Flip sign"><code>++fli:fl</code></a>
246<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#flip' title="Loobean negation (compiler utility)"><code>++flip</code></a>
247<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#flit' title="Make filter"><code>++flit</code></a>
248<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#flop' title="Reverse list"><code>++flop</code></a>
249<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#flor' title="Loobean | (compiler utility)"><code>++flor</code></a>
250<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmaff' title="Fused multiplyadd (IEEE float)"><code>++fma:ff</code></a>
251<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmafl' title="Fused multiplyadd"><code>++fma:fl</code></a>
252<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmard' title="Fused multiplyadd (@rd)"><code>++fma:rd</code></a>
253<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmarh' title="Fused multiplyadd (halfprecision float)"><code>++fma:rh</code></a>
254<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmars' title="Fused multiplyadd (singleprecision float)"><code>++fma:rs</code></a>
255<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmarq' title="Fused multiplyadd (quadprecision float)"><code>++fma:rq</code></a>
256<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#fo' title="Modulo prime"><code>++fo</code></a>
257<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#foot' title="Cases of arms by variance model"><code>+$foot</code></a>
258<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#fore' title="Pair before"><code>++fore</code></a>
259<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#fork' title="Make %fork type (compiler utility)"><code>++fork</code></a>
260<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fosrh' title="@rs to @rh"><code>++fos:rh</code></a>
261<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#frafo' title="Divide (modular base)"><code>++fra:fo</code></a>
262<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#frasi' title="Divide (signed integer)"><code>++fra:si</code></a>
263<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#full' title="Parse to end"><code>++full</code></a>
264<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#funk' title="Add to tape"><code>++funk</code></a>
265<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#fuss' title="Has A or B?"><code>++fuss</code></a>
266<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#fyndob' title="Restore structure v3"><code>++fynd:ob</code></a>
270<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gah' title="New line or ''"><code>++gah</code></a>
271<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#gal' title="Parse < (gal)"><code>++gal</code></a>
272<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gap' title="Plural whitespace"><code>++gap</code></a>
273<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gaq' title="End of line"><code>++gaq</code></a>
274<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#gar' title="Parse > (gar)"><code>++gar</code></a>
275<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#garb' title="Core metadata"><code>+$garb</code></a>
276<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#gasby' title="Concatenate (map)"><code>++gas:by</code></a>
277<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#gasin' title="Concatenate (set)"><code>++gas:in</code></a>
278<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#gasju' title="Concatenate (jug)"><code>++gas:ju</code></a>
279<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#gasto' title="Push list into queue"><code>++gas:to</code></a>
280<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#gate' title="Function"><code>++gate</code></a>
281<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gaw' title="Classic whitespace"><code>++gaw</code></a>
282<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gay' title="Optional gap"><code>++gay</code></a>
283<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#getby' title="Grab unit value"><code>++get:by</code></a>
284<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#getja' title="Grab value by key"><code>++get:ja</code></a>
285<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#getju' title="Retrieve set"><code>++get:ju</code></a>
286<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#getto' title="Headtail pair"><code>++get:to</code></a>
287<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#glue' title="Skip delimiter"><code>++glue</code></a>
288<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gon' title="Parse long numbers"><code>++gon</code></a>
289<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#gor' title="Mug order"><code>++gor</code></a>
290<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#gotby' title="Assert for value (map)"><code>++got:by</code></a>
291<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdff' title="Decimal float to @r"><code>++grd:ff</code></a>
292<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdfl' title="Decimal to float"><code>++grd:fl</code></a>
293<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdrd' title="Decimal float to @rd"><code>++grd:rd</code></a>
294<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdrh' title="Decimal float to @rh"><code>++grd:rh</code></a>
295<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdrs' title="Decimal float to @rs"><code>++grd:rs</code></a>
296<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdrq' title="Decimal float to @rq"><code>++grd:rq</code></a>
297<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#gte' title="Greater than / equal"><code>++gte</code></a>
298<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gteff' title="Greater than / equal (IEEE float)"><code>++gte:ff</code></a>
299<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gtefl' title="Greater than / equal (producing flag)"><code>++gte:fl</code></a>
300<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gterd' title="Greater than / equal (doubleprecision float)"><code>++gte:rd</code></a>
301<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gterh' title="Greater than / equal (halfprecision float)"><code>++gte:rh</code></a>
302<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gters' title="Greater than / equal (singleprecision float)"><code>++gte:rs</code></a>
303<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gterq' title="Greater than / equal (quadprecision float)"><code>++gte:rq</code></a>
304<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#gth' title="Greater than"><code>++gth</code></a>
305<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthff' title="Greater than (IEEE float)"><code>++gth:ff</code></a>
306<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthfl' title="Greater than (producing flag)"><code>++gth:fl</code></a>
307<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthrd' title="Greater than (doubleprecision float)"><code>++gth:rd</code></a>
308<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthrh' title="Greater than (halfprecision float)"><code>++gth:rh</code></a>
309<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthrs' title="Greater than (singleprecision float)"><code>++gth:rs</code></a>
310<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthrq' title="Greater than (quadprecision float)"><code>++gth:rq</code></a>
311<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gul' title="Axis syntax < or >"><code>++gul</code></a>
312<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#gulf' title="List from range"><code>++gulf</code></a>
316<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hafab' title="Parse non-doz phonetic pair"><code>++haf:ab</code></a>
317<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#hair' title="Parsing line and column"><code>+$hair</code></a>
318<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#hasby' title="Key existence check (map)"><code>++has:by</code></a>
319<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#hasin' title="Key existence check (set)"><code>++has:in</code></a>
320<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#hasju' title="Check contents (jug)"><code>++has:ju</code></a>
321<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#hax' title="Parse # (hax)"><code>++hax</code></a>
322<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#head' title="Get head of cell"><code>++head</code></a>
323<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#help' title="Documentation"><code>+$help</code></a>
324<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hefab' title="Parse non-dozzod phonetic pair"><code>++hef:ab</code></a>
325<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#here' title="Placebased apply"><code>++here</code></a>
326<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#hep' title="Parse (hep)"><code>++hep</code></a>
327<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#hex' title="Hexadecimal to atom"><code>++hex</code></a>
328<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hexag' title="Parse hexadecimal number"><code>++hex:ag</code></a>
329<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hifab' title="Parse phonetic pair"><code>++hif:ab</code></a>
330<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#hig' title="Parse single uppercase letter"><code>++hig</code></a>
331<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#hike' title="Compiler utility"><code>++hike</code></a>
332<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#hint' title="Make %hint type (compiler utility)"><code>++hint</code></a>
333<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#hit' title="Parse single hexadecimal digit"><code>++hit</code></a>
334<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hofab' title="Parse 2-4 @q phonetic pair"><code>++hof:ab</code></a>
335<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#homo' title="Homogenize list"><code>++homo</code></a>
336<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#hoon' title="Hoon AST"><code>+$hoon</code></a>
337<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#hoot' title="Hoon tools"><code>++hoot</code></a>
338<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#horyo' title="Seconds in hour"><code>++hor:yo</code></a>
339<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hufab' title="Parse 1-4 @q phonetic pairs"><code>++huf:ab</code></a>
340<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#hump' title="Profiling"><code>+$hump</code></a>
341<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#hunt' title="Select between two units by a rule"><code>++hunt</code></a>
342<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hyfab' title="Parse four @q phonetic pairs"><code>++hyf:ab</code></a>
346<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#iblfl' title="Integer binary logarithm"><code>++ibl:fl</code></a>
347<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#ifix' title="Infix"><code>++ifix</code></a>
348<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#inde' title="Indentation block"><code>++inde</code></a>
349<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#indpo' title="Parse suffix"><code>++ind:po</code></a>
350<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#inspo' title="Parse prefix"><code>++ins:po</code></a>
351<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#intby' title="Intersection (map)"><code>++int:by</code></a>
352<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#intin' title="Intersection (set)"><code>++int:in</code></a>
353<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#invfe' title="Inverse order of modular field"><code>++inv:fe</code></a>
354<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#invfl' title="Inverse"><code>++inv:fl</code></a>
355<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#invfo' title="Inverse (signed modulus)"><code>++inv:fo</code></a>
356<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#iny' title="Indentation block"><code>++iny</code></a>
360<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#ja' title="Jar engine"><code>++ja</code></a>
361<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#jabby' title="Transform value (map)"><code>++jab:by</code></a>
362<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#jam' title="Pack noun to atom"><code>++jam</code></a>
363<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#jar' title="Mold generator (jar)"><code>++jar</code></a>
364<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#jesyo' title="Maximum 64bit timestamp"><code>++jes:yo</code></a>
365<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#jest' title="Match a cord"><code>++jest</code></a>
366<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#jock' title="Compiler utility"><code>++jock</code></a>
367<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#join' title="Add separator between list elements"><code>++join</code></a>
368<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#ju' title="Jug operations"><code>++ju</code></a>
369<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#jug' title="Mold generator (jug)"><code>++jug</code></a>
370<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#just' title="Match a single character"><code>++just</code></a>
374<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#kel' title="Parse { (kel)"><code>++kel</code></a>
375<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ker' title="Parse } (ker)"><code>++ker</code></a>
376<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ket' title="Parse ^ (ket)"><code>++ket</code></a>
377<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#keyby' title="Set of keys"><code>++key:by</code></a>
378<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#knee' title="Recursive parsers"><code>++knee</code></a>
379<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#knot' title="Atom type of ASCII characters"><code>+$knot</code></a>
383<a class="tooltip" href='/docs/hoon/reference/stdlib/4d/#last' title="Further trace"><code>++last</code></a>
384<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#late' title="Put tail"><code>++late</code></a>
385<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#lead' title="Put head"><code>++lead</code></a>
386<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#lenl' title="Construct list from nullterminated noun"><code>++le:nl</code></a>
387<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#lent' title="List length"><code>++lent</code></a>
388<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#levi' title="Type nests or crash"><code>++levi</code></a>
389<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#levy' title="Logical AND on list"><code>++levy</code></a>
390<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lfefl' title="Maximum"><code>++lfe:fl</code></a>
391<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lfnfl' title="Largest normal float"><code>++lfn:fl</code></a>
392<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#lien' title="Logical OR on list"><code>++lien</code></a>
393<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#lift' title="Curried bind"><code>++lift</code></a>
394<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#like' title="Generic edge"><code>++like</code></a>
395<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#limb' title="Reference into subject by name/axis"><code>+$limb</code></a>
396<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#limo' title="Construct list from nullterminated tuple"><code>++limo</code></a>
397<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#link' title="Lexical segment"><code>+$link</code></a>
398<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#lipag' title="Parse IPv4 address"><code>++lip:ag</code></a>
399<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#list' title="Mold constructor (list)"><code>++list</code></a>
400<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#lone' title="Mold generator (face on mold)"><code>++lone</code></a>
401<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#look' title="Compiler utility"><code>++look</code></a>
402<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#loot' title="Compiler utility"><code>++loot</code></a>
403<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#low' title="Parse lowercase letter"><code>++low</code></a>
404<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#lsh' title="Leftshift"><code>++lsh</code></a>
405<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#lte' title="Less than / equal (atom)"><code>++lte</code></a>
406<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lteff' title="Less than / equal (IEEE float)"><code>++lte:ff</code></a>
407<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ltefl' title="Less than / equal (producing flag)"><code>++lte:fl</code></a>
408<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lterd' title="Less than / equal (doubleprecision float)"><code>++lte:rd</code></a>
409<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lterh' title="Less than / equal (halfprecision float)"><code>++lte:rh</code></a>
410<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lters' title="Less than / equal (singleprecision float)"><code>++lte:rs</code></a>
411<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lterq' title="Less than / equal (quadprecision float)"><code>++lte:rq</code></a>
412<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#lth' title="Less than (atom)"><code>++lth</code></a>
413<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthff' title="Less than (IEEE float)"><code>++lth:ff</code></a>
414<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthfl' title="Less than (signed and unsigned integer cell)"><code>++lth:fl</code></a>
415<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthrd' title="Less than (doubleprecision float)"><code>++lth:rd</code></a>
416<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthrh' title="Less than (halfprecision float)"><code>++lth:rh</code></a>
417<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthrs' title="Less than (singleprecision float)"><code>++lth:rs</code></a>
418<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthrq' title="Less than (quadprecision float)"><code>++lth:rq</code></a>
419<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lugfl' title="Central rounding mechanism"><code>++lug:fl</code></a>
420<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#lus' title="Parse + (lus)"><code>++lus</code></a>
421<a class="tooltip" href='/docs/hoon/reference/stdlib/4d/#lust' title="Detect new line"><code>++lust</code></a>
422<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#less' title="Parse unless"><code>++less</code></a>
423<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#ly' title="List from raw noun"><code>++ly</code></a>
427<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#mane' title="XML name+space"><code>++mane</code></a>
428<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#manx' title="Dynamic XML node"><code>++manx</code></a>
429<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#manxhoot' title="Dynamic XML node"><code>+$manx:hoot</code></a>
430<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mard' title="Initialize ff (rd core)"><code>++ma:rd</code></a>
431<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#marh' title="Initialize ff (rh core)"><code>++ma:rh</code></a>
432<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mars' title="Initialize ff (rs core)"><code>++ma:rs</code></a>
433<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#marq' title="Initialize ff (rq core)"><code>++ma:rq</code></a>
434<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mack' title="Nock subject to unit"><code>++mack</code></a>
435<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#make' title="Compile cord to nock"><code>++make</code></a>
436<a class="tooltip" href='/docs/hoon/reference/stdlib/2l/#malt' title="Map from list"><code>++malt</code></a>
437<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#manehoot' title="XML name+space"><code>+$mane:hoot</code></a>
438<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#map' title="Mold generator (map)"><code>++map</code></a>
439<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#marby' title="Add with validation (map)"><code>++mar:by</code></a>
440<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#marehoot' title="Node or nodes"><code>+$mare:hoot</code></a>
441<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#marl' title="XML node list"><code>++marl</code></a>
442<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#marlhoot' title="Dynamic XML nodes"><code>+$marl:hoot</code></a>
443<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#marthoot' title="Dynamic XML attributes"><code>+$mart:hoot</code></a>
444<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#mars' title="XML cdata"><code>++mars</code></a>
445<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#mart' title="XML attributes"><code>++mart</code></a>
446<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#maruhoot' title="Interpolation or nodes"><code>+$maru:hoot</code></a>
447<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#marx' title="Dynamic XML tag"><code>++marx</code></a>
448<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#marxhoot' title="Dynamic XML tag"><code>+$marx:hoot</code></a>
449<a class="tooltip" href='/docs/hoon/reference/stdlib/1b/#mas' title="Address within head/tail"><code>++mas</code></a>
450<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#mask' title="Match character"><code>++mask</code></a>
451<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#mat' title="Lengthencode"><code>++mat</code></a>
452<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#mate' title="Choose"><code>++mate</code></a>
453<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#max' title="Maximum"><code>++max</code></a>
454<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#meff' title="Minimum exponent of ff"><code>++me:ff</code></a>
455<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#mean' title="Crash and printf"><code>++mean</code></a>
456<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#mes' title="Parse hexabyte"><code>++mes</code></a>
457<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#mesc' title="Escape special characters"><code>++mesc</code></a>
458<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#met' title="Measure"><code>++met</code></a>
459<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#min' title="Minimum (atom)"><code>++min</code></a>
460<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mink' title="Mock (virtual Nock) interpreter"><code>++mink</code></a>
461<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#mite' title="MIME type"><code>++mite</code></a>
462<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#mityo' title="Seconds in minute"><code>++mit:yo</code></a>
463<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#mix' title="Binary XOR (atom)"><code>++mix</code></a>
464<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#mixed-case-symbol' title="Mixed-case term"><code>++mixed-case-symbol</code></a>
465<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#moan' title="Profiling: sample metric"><code>+$moan</code></a>
466<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mock' title="Compute formula on subject with hint"><code>++mock</code></a>
467<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#mod' title="Modulus (atom)"><code>++mod</code></a>
468<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#mohyo' title="Days in month"><code>++moh:yo</code></a>
469<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mole' title="Typed unitary virtual"><code>++mole</code></a>
470<a class="tooltip" href='/docs/hoon/reference/stdlib/2l/#molt' title="Map from pair list"><code>++molt</code></a>
471<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mong' title="Slam gate with sample"><code>++mong</code></a>
472<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mook' title="Intelligently render crash annotation"><code>++mook</code></a>
473<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#mor' title="(more) mug order"><code>++mor</code></a>
474<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#more' title="Parse list with delimiter"><code>++more</code></a>
475<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#most' title="Parse list of at least one match"><code>++most</code></a>
476<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#motag' title="Parse numerical month"><code>++mot:ag</code></a>
477<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#moyyo' title="Days in months of leapyear"><code>++moy:yo</code></a>
478<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#mu' title="Core used to scramble 16bit atoms"><code>++mu</code></a>
479<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#mug' title="FNV1a scrambler"><code>++mug</code></a>
480<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#muk' title="Standard MurmurHash3"><code>++muk</code></a>
481<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#mul' title="Multiply (atom)"><code>++mul</code></a>
482<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulff' title="Multiply (IEEE float)"><code>++mul:ff</code></a>
483<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulfl' title="Multiply (signed and unsigned integer cell)"><code>++mul:fl</code></a>
484<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulrd' title="Multiply (doubleprecision float)"><code>++mul:rd</code></a>
485<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulrh' title="Multiply (quadprecision float)"><code>++mul:rh</code></a>
486<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulrs' title="Multiply (singleprecision float)"><code>++mul:rs</code></a>
487<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulrq' title="Multiply (quadprecision float)"><code>++mul:rq</code></a>
488<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mule' title="Typed virtual"><code>++mule</code></a>
489<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mure' title="Untyped unitary virtual"><code>++mure</code></a>
490<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#musk' title="Nock with block set (compiler utility)"><code>++musk</code></a>
491<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mute' title="Untyped virtual"><code>++mute</code></a>
492<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#murn' title="Maybe transform"><code>++murn</code></a>
493<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#my' title="Map from raw noun"><code>++my</code></a>
494<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#mynl' title="Construct map from nullterminated noun"><code>++my:nl</code></a>
498<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#nail' title="Location, remainder of parsed text"><code>+$nail</code></a>
499<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#napto' title="Remove head of queue"><code>++nap:to</code></a>
500<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ne' title="Digit rendering engine"><code>++ne</code></a>
501<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#nedfl' title="Require float"><code>++ned:fl</code></a>
502<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#need' title="Unwrap unit"><code>++need</code></a>
503<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#netfe' title="Flip endianness"><code>++net:fe</code></a>
504<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#newsi' title="Atom to @s"><code>++new:si</code></a>
505<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#next' title="Consume character"><code>++next</code></a>
506<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#nipto' title="Remove root of queue"><code>++nip:to</code></a>
507<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#nix' title="Parse letters and underscore"><code>++nix</code></a>
508<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#nl' title="Noun to container operations"><code>++nl</code></a>
509<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#noah' title="Tape pretty-print"><code>++noah</code></a>
510<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#nock' title="Virtual nock"><code>+$nock</code></a>
511<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#not' title="Binary NOT (atom)"><code>++not</code></a>
512<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#note' title="Type annotation"><code>+$note</code></a>
513<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#noun' title="Any noun"><code>+$noun</code></a>
514<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#nuckso' title="Toplevel coin parser"><code>++nuck:so</code></a>
515<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#nud' title="Parse numeric character"><code>++nud</code></a>
516<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#null' title="Null, nil, etc"><code>+$null</code></a>
517<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#nuskso' title="Parse coin literal with escapes"><code>++nusk:so</code></a>
521<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#ob' title="Reversible scrambling v2"><code>++ob</code></a>
522<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#og' title="Container arm for SHA256 powered RNG"><code>++og</code></a>
523<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#oldsi' title="Sign and absolute value"><code>++old:si</code></a>
524<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#onan' title="Vise to vase"><code>++onan</code></a>
525<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#onyx' title="Arm activation"><code>+$onyx</code></a>
526<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#opal' title="Wing match"><code>+$opal</code></a>
527<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#oust' title="Remove from list"><code>++oust</code></a>
528<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#outfe' title="Maximum integer value"><code>++out:fe</code></a>
529<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#ox-coco' title="Format dot-separated digits in numeric base"><code>++ox-co:co</code></a>
533<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#paff' title="Initialize fl from ff core"><code>++pa:ff</code></a>
534<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#padfa' title="base58check padding bytes"><code>++pad:fa</code></a>
535<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#pair' title="Mold of pair of types"><code>++pair</code></a>
536<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#pam' title="Parse & (pam)"><code>++pam</code></a>
537<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#pat' title="Parse @ (pat)"><code>++pat</code></a>
538<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#path' title="Like unix path"><code>+$path</code></a>
539<a class="tooltip" href='/docs/hoon/reference/stdlib/1b/#peg' title="Address within address"><code>++peg</code></a>
540<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#pal' title="Parse ( (pal)"><code>++pal</code></a>
541<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#palo' title="Wing trace, match"><code>+$palo</code></a>
542<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#par' title="Parse ) (par)"><code>++par</code></a>
543<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#pass' title="Public key"><code>++pass</code></a>
544<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#perdso' title="Parsing coin literal without prefixes"><code>++perd:so</code></a>
545<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#perk' title="Parse cube fork"><code>++perk</code></a>
546<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pevab' title="Parse 1-5 @uv base-32 chars"><code>++pev:ab</code></a>
547<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pewab' title="Parse <= 5 in base 64"><code>++pew:ab</code></a>
548<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#pfix' title="Discard first rule"><code>++pfix</code></a>
549<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#pi-heck' title="Profiling utility"><code>++pi-heck</code></a>
550<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#pi-noon' title="Sample trace"><code>++pi-noon</code></a>
551<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#pi-mope' title="Add sample"><code>++pi-mope</code></a>
552<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#pi-moth' title="Count sample"><code>++pi-moth</code></a>
553<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#pi-mumm' title="Print sample"><code>++pi-mumm</code></a>
554<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#pi-tell' title="Produce dump"><code>++pi-tell</code></a>
555<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#pica' title="Prose or code"><code>+$pica</code></a>
556<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#pint' title="Parsing range"><code>+$pint</code></a>
557<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pivab' title="Parse 5 @uv base-32 chars"><code>++piv:ab</code></a>
558<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#piwab' title="Parse 5 @uw base-64 chars"><code>++piw:ab</code></a>
559<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#plat' title="%hoon, %type, %nock or %tank"><code>+$plat</code></a>
560<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#plug' title="Parse to tuple"><code>++plug</code></a>
561<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#plus' title="List of at least one match"><code>++plus</code></a>
562<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#po' title="Phonetic base"><code>++po</code></a>
563<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#pock' title="Changes"><code>+$pock</code></a>
564<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#pole' title="Mold generator of faceless list"><code>++pole</code></a>
565<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#poly' title="Polarity"><code>+$poly</code></a>
566<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#port' title="Successful wing match"><code>+$port</code></a>
567<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#pose' title="Parse options"><code>++pose</code></a>
568<a class="tooltip" href='/docs/hoon/reference/stdlib/2g/#pow' title="Computes a to the power of b"><code>++pow</code></a>
569<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#prcfl' title="Force precision of 2 or greater (floating point)"><code>++prc:fl</code></a>
570<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#prn' title="Parse any printable character"><code>++prn</code></a>
571<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#profo' title="Multiplies b and c modulo a"><code>++pro:fo</code></a>
572<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#prosi' title="Multiply to signed integer"><code>++pro:si</code></a>
573<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#punt' title="Unitized parse"><code>++punt</code></a>
574<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#putby' title="Add keyvalue pair (map)"><code>++put:by</code></a>
575<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#putin' title="Put b in a (set)"><code>++put:in</code></a>
576<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#putju' title="Add keyset pair (jar)"><code>++put:ju</code></a>
577<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#putto' title="Insert into queue"><code>++put:to</code></a>
581<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#qadyo' title="Seconds in 4 years"><code>++qad:yo</code></a>
582<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#qat' title="Parse chars in blockcord"><code>++qat</code></a>
583<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qebab' title="Parse 1-4 binary digits"><code>++qeb:ab</code></a>
584<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#qeu' title="Mold generator (queue)"><code>++qeu</code></a>
585<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qexab' title="Parse 1-4 hex digits"><code>++qex:ab</code></a>
586<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qibab' title="Parse 4 binary digits"><code>++qib:ab</code></a>
587<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#qit' title="Parse character to cord atom"><code>++qit</code></a>
588<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qixab' title="Parse 4 hexadecimal digits"><code>++qix:ab</code></a>
589<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#quip' title="Mold generator (tuple of list and type)"><code>++quip</code></a>
590<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#qut' title="Parse cord"><code>++qut</code></a>
594<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rat' title="Print term, number or hex"><code>++r:at</code></a>
595<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#radog' title="Random in range"><code>++rad:og</code></a>
596<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#radsog' title="Random continuation"><code>++rads:og</code></a>
597<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#rain' title="Parse with % path"><code>++rain</code></a>
598<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#rakuob' title="Key list"><code>++raku:ob</code></a>
599<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#ramre' title="Flatten tank to tape"><code>++ram:re</code></a>
600<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rap' title="Assemble nonzero"><code>++rap</code></a>
601<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rash' title="Parse or crash"><code>++rash</code></a>
602<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#raufl' title="Various roundings (floating point)"><code>++rau:fl</code></a>
603<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#rawog' title="Random bits"><code>++raw:og</code></a>
604<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#rawsog' title="Random bits continuation"><code>++raws:og</code></a>
605<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#r-coco' title="Render floating point"><code>++r-co:co</code></a>
606<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#re' title="Prettyprinting engine (tank)"><code>++re</code></a>
607<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#ream' title="Parse cord to hoon"><code>++ream</code></a>
608<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#rear' title="Last item in list"><code>++rear</code></a>
609<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rearco' title="Prepend and render atom as tape"><code>++rear:co</code></a>
610<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#reap' title="Replicate (list)"><code>++reap</code></a>
611<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#reck' title="Parse hoon file"><code>++reck</code></a>
612<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#reel' title="Right fold (list)"><code>++reel</code></a>
613<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#remsi' title="Remainder (signed integer)"><code>++rem:si</code></a>
614<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rendco' title="Render coin lot as tape"><code>++rend:co</code></a>
615<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rentco' title="Render coin as knot"><code>++rent:co</code></a>
616<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rep' title="Assemble single"><code>++rep</code></a>
617<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#repby' title="Reduce to product (map)"><code>++rep:by</code></a>
618<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#repin' title="Accumulate elements (set)"><code>++rep:in</code></a>
619<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#result' title="Internal interpreter result"><code>+$result</code></a>
620<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rev' title="Reverse"><code>++rev</code></a>
621<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rfat' title="Print loobean"><code>++rf:at</code></a>
622<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#ribby' title="Transform + product (map)"><code>++rib:by</code></a>
623<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#ride' title="End-to-end compiler"><code>++ride</code></a>
624<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#ring' title="Private key"><code>++ring</code></a>
625<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rip' title="Disassemble"><code>++rip</code></a>
626<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rnat' title="Print null"><code>++rn:at</code></a>
627<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#ro-coco' title="Format dot-prefixed bloqs in numeric base"><code>++ro-co:co</code></a>
628<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#road' title="Evaluate trap"><code>++road</code></a>
629<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rolfe' title="Roll left"><code>++rol:fe</code></a>
630<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#roll' title="Left fold (list)"><code>++roll</code></a>
632<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rorfe' title="Roll right"><code>++ror:fe</code></a>
633<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rose' title="Parse to each"><code>++rose</code></a>
634<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#roufl' title="Round to nearest float with 113bit significand"><code>++rou:fl</code></a>
635<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#roylso' title="Parse dime float"><code>++royl:so</code></a>
636<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-cellso' title="Convert rn to dn"><code>++royl-cell:so</code></a>
637<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-rhso' title="Parse half-precision float"><code>++royl-rh:so</code></a>
638<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-rqso' title="Parse quad-precision float"><code>++royl-rq:so</code></a>
639<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-rdso' title="Parse double-precision float"><code>++royl-rd:so</code></a>
640<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-rsso' title="Parse single-precision float"><code>++royl-rs:so</code></a>
641<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-rnso' title="Parse real number"><code>++royl-rn:so</code></a>
642<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rsh' title="Rightshift"><code>++rsh</code></a>
643<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rtat' title="Print cord, including escape characters"><code>++rt:at</code></a>
644<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rtaat' title="Print cord, including escape characters"><code>++rta:at</code></a>
645<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rtamat' title="Print cord with @tas syntax"><code>++rtam:at</code></a>
646<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#rub' title="Lengthdecode"><code>++rub</code></a>
647<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rubat' title="Print binary"><code>++rub:at</code></a>
648<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rudat' title="Print atom as integer"><code>++rud:at</code></a>
649<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#rule' title="Parsing rule (match this with _)"><code>+$rule</code></a>
650<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rumat' title="Print base-n"><code>++rum:at</code></a>
651<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#runby' title="Transform values (map)"><code>++run:by</code></a>
652<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#runin' title="Apply gate to set"><code>++run:in</code></a>
653<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#runt' title="Prepend n times"><code>++runt</code></a>
654<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rupat' title="Print @p (outdated)"><code>++rup:at</code></a>
655<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rush' title="Parse or null"><code>++rush</code></a>
656<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rust' title="Parse tape or null"><code>++rust</code></a>
657<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#rutby' title="Transform nodes (map)"><code>++rut:by</code></a>
658<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#ruvat' title="Print base-64"><code>++ruv:at</code></a>
659<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#ruxat' title="Print hexadecimal"><code>++rux:at</code></a>
663<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#same' title="Identity (produces same value)"><code>++same</code></a>
664<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanff' title="Signed integer to @r"><code>++san:ff</code></a>
665<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanfl' title="Signed integer to float"><code>++san:fl</code></a>
666<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanrd' title="Unsigned integer to @rd"><code>++san:rd</code></a>
667<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanrh' title="Signed integer to @rh"><code>++san:rh</code></a>
668<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanrs' title="Signed integer to @rs"><code>++san:rs</code></a>
669<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanrq' title="Signed integer to @rq"><code>++san:rq</code></a>
670<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#sand' title="Softcast by aura"><code>++sand</code></a>
671<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#sane' title="Check aura validity"><code>++sane</code></a>
672<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sbff' title="Sign bit"><code>++sb:ff</code></a>
673<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#scag' title="Prefix (produce front of list)"><code>++scag</code></a>
674<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#scan' title="Parse tape or crash"><code>++scan</code></a>
675<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#s-coco' title="Render hex list"><code>++s-co:co</code></a>
676<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#scot' title="Render dime as cord"><code>++scot</code></a>
677<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#scow' title="Render dime as tape"><code>++scow</code></a>
678<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#seaff' title="Convert from IEEE float to fn"><code>++sea:ff</code></a>
679<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#seard' title="Convert from doubleprecision binary float to fn"><code>++sea:rd</code></a>
680<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#searh' title="Convert from halfprecision float to fn"><code>++sea:rh</code></a>
681<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sears' title="Convert from singleprecision float to fn"><code>++sea:rs</code></a>
682<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#searq' title="Convert from quadprecision float to fn"><code>++sea:rq</code></a>
683<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#sear' title="Conditional ++cook"><code>++sear</code></a>
684<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sebab' title="Parse 1"><code>++seb:ab</code></a>
685<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#sect' title="Paragraph"><code>+$sect</code></a>
686<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sedab' title="Parse nonzero decimal digit"><code>++sed:ab</code></a>
687<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#seem' title="Promote typo"><code>++seem</code></a>
688<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#seer' title="Promote vise"><code>++seer</code></a>
689<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#sel' title="Parse [ (sel)"><code>++sel</code></a>
690<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#sell' title="Pretty-print vase to a tank"><code>++sell</code></a>
691<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#mic' title="Parse ; (mic)"><code>++mic</code></a>
692<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ser' title="Parse ] (ser)"><code>++ser</code></a>
693<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#set' title="Mold generator (set)"><code>++set</code></a>
694<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sevab' title="Parse nonzero base 32 digit"><code>++sev:ab</code></a>
695<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sew' title="Stitch one atom into another"><code>++sew</code></a>
696<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sewab' title="Parse nonzero base 64 digit"><code>++sew:ab</code></a>
697<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sexab' title="Parse nonzero hexadecimal digit"><code>++sex:ab</code></a>
698<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#sfix' title="Discard second rule"><code>++sfix</code></a>
699<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shad' title="Double SHA256"><code>++shad</code></a>
700<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaf' title="Half SHA256"><code>++shaf</code></a>
701<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shal' title="SHA512 with length"><code>++shal</code></a>
702<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#sham' title="128bit noun hash"><code>++sham</code></a>
703<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shan' title="SHA1"><code>++shan</code></a>
704<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shas' title="Salted hash"><code>++shas</code></a>
705<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaw' title="Hash to nbits"><code>++shaw</code></a>
706<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shax' title="SHA256"><code>++shax</code></a>
707<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shay' title="SHA256 with length"><code>++shay</code></a>
708<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaz' title="SHA512"><code>++shaz</code></a>
709<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#shffl' title="Shift power"><code>++shf:fl</code></a>
710<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#shim' title="Match character within range"><code>++shim</code></a>
711<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#ship' title="Network identity"><code>++ship</code></a>
712<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#shop' title="Urbit/DNS identity"><code>++shop</code></a>
713<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#show' title="Pretty-printer (deprecated)"><code>++show</code></a>
714<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#si' title="Signed integer"><code>++si</code></a>
715<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#sinl' title="Construct set from nullterminated noun"><code>++si:nl</code></a>
716<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sibab' title="Parse binary digit"><code>++sib:ab</code></a>
717<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sidab' title="Parse decimal digit"><code>++sid:ab</code></a>
718<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#sig' title="Parse ~ (sig)"><code>++sig</code></a>
719<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigff' title="Produce sign of IEEE float"><code>++sig:ff</code></a>
720<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigrd' title="Produce sign of @rd"><code>++sig:rd</code></a>
721<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigrh' title="Produce sign of halfprecision float"><code>++sig:rh</code></a>
722<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigrs' title="Produce sign of @rs"><code>++sig:rs</code></a>
723<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigrq' title="Produce sign of quadprecision float"><code>++sig:rq</code></a>
724<a class="tooltip" href='/docs/hoon/reference/stdlib/2l/#silt' title="Produce set from list"><code>++silt</code></a>
725<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#simu' title="First and second"><code>++simu</code></a>
726<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sitfe' title="Enforce modulo"><code>++sit:fe</code></a>
727<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sitfo' title="Produce remainder of b modulo a"><code>++sit:fo</code></a>
728<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sivab' title="Parse a base 32 digit"><code>++siv:ab</code></a>
729<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#siwab' title="Parse a base 64 digit"><code>++siw:ab</code></a>
730<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sixab' title="Parse a hexadecimal digit"><code>++six:ab</code></a>
731<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#skid' title="Separate list into two lists from slammed elments"><code>++skid</code></a>
732<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#skim' title="Produce list of elements from boolean gate"><code>++skim</code></a>
733<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#skin' title="Texture"><code>+$skin</code></a>
734<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#skip' title="Produce list of elements failing boolean gate"><code>++skip</code></a>
735<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#skol' title="Pretty-print type to tank"><code>++skol</code></a>
736<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slab' title="Test if contains"><code>++slab</code></a>
737<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#slag' title="Produce all elements from index in list"><code>++slag</code></a>
738<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slam' title="Slam a gate"><code>++slam</code></a>
739<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slap' title="Untyped vase .*"><code>++slap</code></a>
740<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#slat' title="Curried slaw"><code>++slat</code></a>
741<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#slav' title="Demand: parse cord with input aura"><code>++slav</code></a>
742<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#slaw' title="Parse cord to input aura"><code>++slaw</code></a>
743<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#slay' title="Parse cord to coin"><code>++slay</code></a>
744<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slew' title="Get axis in vase"><code>++slew</code></a>
745<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slim' title="Identical to ++seer"><code>++slim</code></a>
746<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slit' title="Type of slam"><code>++slit</code></a>
747<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slob' title="Superficial arm"><code>++slob</code></a>
748<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#sloe' title="Get arms in core"><code>++sloe</code></a>
749<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slog' title="Deify printf"><code>++slog</code></a>
750<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slop' title="Cons two vases"><code>++slop</code></a>
751<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slot' title="Got axis in vase"><code>++slot</code></a>
752<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#slug' title="Use gate to parse delimited list"><code>++slug</code></a>
753<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#slum' title="Slam a gate on a sample using raw nock, untyped"><code>++slum</code></a>
754<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slym' title="Slam without sample-type"><code>++slym</code></a>
755<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#smyt' title="Render path as tank"><code>++smyt</code></a>
756<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#snag' title="Produce element at specific index (list)"><code>++snag</code></a>
757<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#snagnl' title="Produce element from list at specific nullterminated noun"><code>++snag:nl</code></a>
758<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#snip' title="Drop tail off list"><code>++snip</code></a>
759<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#snoc' title="Append noun to list"><code>++snoc</code></a>
760<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#so' title="Coin parser engine"><code>++so</code></a>
761<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#soft' title="Virtual clam"><code>++soft</code></a>
762<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#some' title="Wrap value in unit"><code>++some</code></a>
763<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#soq' title="Parse ' (soq)"><code>++soq</code></a>
764<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#sort' title="Quicksort (list)"><code>++sort</code></a>
765<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sovab' title="Parse @uv base-32 letter"><code>++sov:ab</code></a>
766<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sowab' title="Parse @uw base-64 letter/symbol"><code>++sow:ab</code></a>
767<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#soxab' title="Parse hexadecimal letter"><code>++sox:ab</code></a>
768<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#soz' title="Parse triple singlequote"><code>++soz</code></a>
769<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#spat' title="Render path as cord"><code>++spat</code></a>
770<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#spdfl' title="Produce smallest denormalized float"><code>++spd:fl</code></a>
771<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#spec' title="Structure definition AST"><code>+$spec</code></a>
772<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#sped' title="Reconstruct type"><code>++sped</code></a>
773<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#spin' title="Gate to list (with state)"><code>++spin</code></a>
774<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#spnfl' title="Produce smallest normal float"><code>++spn:fl</code></a>
775<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#spot' title="Stack trace line"><code>+$spot</code></a>
776<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#spud' title="Render path as tape"><code>++spud</code></a>
777<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#spun' title="Gate to list (with state)"><code>++spun</code></a>
778<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#spur' title="ship desk case spur"><code>++spur</code></a>
779<a class="tooltip" href='/docs/hoon/reference/stdlib/2g/#sqt' title="Compute square root with remainder"><code>++sqt</code></a>
780<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtff' title="Produce square root of IEEE float"><code>++sqt:ff</code></a>
781<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtfl' title="Produce square root from signed and unsigned integer cell"><code>++sqt:fl</code></a>
782<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtrd' title="Produce square root of doubleprecision float"><code>++sqt:rd</code></a>
783<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtrh' title="Produce square root of halfprecision float"><code>++sqt:rh</code></a>
784<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtrs' title="Produce square root of singleprecision float"><code>++sqt:rs</code></a>
785<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtrq' title="Produce square root of quadprecision float"><code>++sqt:rq</code></a>
786<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#stab' title="Parse cord to path"><code>++stab</code></a>
787<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stag' title="Add label"><code>++stag</code></a>
788<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#stap' title="Path parser"><code>++stap</code></a>
789<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#star' title="Produce list of matches"><code>++star</code></a>
790<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#step' title="Atom size or offset, in bloqs"><code>++step</code></a>
791<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stet' title="Add faces to rangeparser pairs in list"><code>++stet</code></a>
792<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stew' title="Switch by first"><code>++stew</code></a>
793<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stir' title="Parse repeatedly"><code>++stir</code></a>
794<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#stud' title="Standard name"><code>+$stud</code></a>
795<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stun' title="Parse several times"><code>++stun</code></a>
796<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#sub' title="Subtract"><code>++sub</code></a>
797<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subff' title="Subtract from IEEE float"><code>++sub:ff</code></a>
798<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subfl' title="Subtract from signed and unsigned integer cells"><code>++sub:fl</code></a>
799<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subrd' title="Subtract from doubleprecision float"><code>++sub:rd</code></a>
800<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subrh' title="Subtract from halfprecision float"><code>++sub:rh</code></a>
801<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subrs' title="Subtract from singleprecision float"><code>++sub:rs</code></a>
802<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subrq' title="Subtract from quadprecision float"><code>++sub:rq</code></a>
803<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#succ' title="Successor"><code>++succ</code></a>
804<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sumfe' title="Sum two numbers in modular field"><code>++sum:fe</code></a>
805<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sumfo' title="Modular sum"><code>++sum:fo</code></a>
806<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sumsi' title="Addition (signed integer)"><code>++sum:si</code></a>
807<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunff' title="Unsigned integer to IEEE float"><code>++sun:ff</code></a>
808<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunfl' title="Unsigned integer to float"><code>++sun:fl</code></a>
809<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunrd' title="Unsigned integer to doubleprecision float"><code>++sun:rd</code></a>
810<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunrh' title="Unsigned integer to halfprecision float"><code>++sun:rh</code></a>
811<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunrs' title="Unsigned integer to singleprecision float"><code>++sun:rs</code></a>
812<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunrq' title="Unsigned integer to quadprecision float"><code>++sun:rq</code></a>
813<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sunsi' title="@u to @s"><code>++sun:si</code></a>
814<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#swag' title="Infix (list)"><code>++swag</code></a>
815<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#swat' title="Deferred ++slap"><code>++swat</code></a>
816<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#swp' title="Reverse block order"><code>++swp</code></a>
817<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#swrfl' title="Switch rounding mode of floating point"><code>++swr:fl</code></a>
818<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#sy' title="Produce set from nullterminated noun"><code>++sy</code></a>
819<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#sym' title="Term"><code>++sym</code></a>
820<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#synfl' title="Get sign"><code>++syn:fl</code></a>
821<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#synsi' title="Sign test"><code>++syn:si</code></a>
825<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#taft' title="UTF8 to UTF32 cord"><code>++taft</code></a>
826<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#tail' title="Get tail of cell"><code>++tail</code></a>
827<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#tapto' title="Queue to list"><code>++tap:to</code></a>
828<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#tar' title="Parse * (tar)"><code>++tar</code></a>
829<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tang' title="Bottom-first error"><code>+$tang</code></a>
830<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tank' title="Formatted print tree"><code>+$tank</code></a>
831<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#tapby' title="Listify pairs"><code>++tap:by</code></a>
832<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#tapin' title="Flatten set into list"><code>++tap:in</code></a>
833<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tape' title="List of characters"><code>+$tape</code></a>
834<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tarp' title="Parsed time"><code>+$tarp</code></a>
835<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#tashso' title="Parse signed dime"><code>++tash:so</code></a>
836<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#tic' title="Parse ` (tic)"><code>++tic</code></a>
837<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tedab' title="Parse 1-999 decimal"><code>++ted:ab</code></a>
838<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#teff' title="UTF8 length"><code>++teff</code></a>
839<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#tailob' title="Reverse +feis"><code>++tail:ob</code></a>
840<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tent' title="Model builder"><code>+$tent</code></a>
841<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tepab' title="Parse non-doz leading phonetic byte"><code>++tep:ab</code></a>
842<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#term' title="Hoon constant"><code>+$term</code></a>
843<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#test' title="Test for equality"><code>++test</code></a>
844<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#text' title="Tape pretty-print"><code>++text</code></a>
845<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#thunk' title="Fragment constructor"><code>+$thunk</code></a>
846<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tidab' title="Parse 3 decimal digits"><code>++tid:ab</code></a>
847<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tiki' title="Test case"><code>+$tiki</code></a>
848<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tilab' title="Parse 3 lowercase letters"><code>++til:ab</code></a>
849<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#time' title="Galactic time"><code>++time</code></a>
850<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tine' title="Partial noun"><code>+$tine</code></a>
851<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tipab' title="Leading phonetic byte"><code>++tip:ab</code></a>
852<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tiqab' title="Trailing phonetic syllable"><code>++tiq:ab</code></a>
853<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#tis' title="Parse = (tis)"><code>++tis</code></a>
854<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#to' title="Queue operations"><code>++to</code></a>
855<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#todpo' title="Fetch suffix"><code>++tod:po</code></a>
856<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toiff' title="Round IEEE float to nearest signed integer"><code>++toi:ff</code></a>
857<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toifl' title="Round float to nearest signed integer"><code>++toi:fl</code></a>
858<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toird' title="Round doubleprecision float to nearest signed integer"><code>++toi:rd</code></a>
859<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toirh' title="Round halfprecision float to nearest signed integer"><code>++toi:rh</code></a>
860<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toirs' title="Round singleprecision float to nearest signed integer"><code>++toi:rs</code></a>
861<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toirq' title="Round quadprecision float to nearest signed integer"><code>++toi:rq</code></a>
862<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#tojfl' title="Round unsigned and signed integer to float"><code>++toj:fl</code></a>
863<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#tokfa' title="Compute base58check checksum"><code>++tok:fa</code></a>
864<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tome' title="Core chapter"><code>+$tome</code></a>
865<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#tone' title="Nock result (error report)"><code>+$tone</code></a>
866<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tony' title="$tone done right"><code>+$tony</code></a>
867<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tool' title="Type decoration"><code>+$tool</code></a>
868<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#toon' title="Nock result (stack trace)"><code>+$toon</code></a>
869<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tope' title="Topographic type"><code>+$tope</code></a>
870<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#topto' title="Produce head of queue"><code>++top:to</code></a>
871<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#tospo' title="Fetch prefix"><code>++tos:po</code></a>
872<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#tosrh' title="Convert halfprecision float to singleprecision float"><code>++tos:rh</code></a>
873<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tour' title="UTF-32 clusters"><code>+$tour</code></a>
874<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#type' title="Hoon type type"><code>+$type</code></a>
875<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#trap' title="Core with one arm $"><code>++trap</code></a>
876<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#tree' title="Mold generator (tree)"><code>++tree</code></a>
877<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#trel' title="Mold generator (tuple of three types)"><code>++trel</code></a>
878<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#trim' title="Tape split"><code>++trim</code></a>
879<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#trip' title="Cord to tape"><code>++trip</code></a>
880<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tuba' title="UTF8 to UTF32 tape"><code>++tuba</code></a>
881<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tufa' title="UTF32 to UTF8 tape"><code>++tufa</code></a>
882<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tuft' title="UTF32 to UTF8 text"><code>++tuft</code></a>
883<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tunahoot' title="Maybe interpolation"><code>+$tuna:hoot</code></a>
884<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tune' title="Complex"><code>+$tune</code></a>
885<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#turn' title="Gate to list"><code>++turn</code></a>
886<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#twidso' title="Parse coins without ~ prefix"><code>++twid:so</code></a>
887<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tyke' title="List of 'maybe' hoons"><code>+$tyke</code></a>
888<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#typo' title="Old type"><code>+$typo</code></a>
889<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tyre' title="List, term hoon"><code>+$tyre</code></a>
893<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#un' title="Reversible scrambling"><code>++un</code></a>
894<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#uniby' title="Union, merge (map)"><code>++uni:by</code></a>
895<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#unifl' title="Change representation to odd"><code>++uni:fl</code></a>
896<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#uniin' title="Union (sets)"><code>++uni:in</code></a>
897<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#unit' title="Mold generator (maybe)"><code>++unit</code></a>
898<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#unoby' title="General union (map)"><code>++uno:by</code></a>
899<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#urnby' title="Turn (with key) (map)"><code>++urn:by</code></a>
900<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ursab' title="Parse knot characters"><code>++urs:ab</code></a>
901<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#urtab' title="Parse knot without underscores"><code>++urt:ab</code></a>
902<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#us' title="Pretty-printer backend"><code>++us</code></a>
903<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#ut' title="Hoon compiler backend"><code>++ut</code></a>
907<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#vne' title="Render base 32"><code>++v:ne</code></a>
908<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#vair' title="Core variance"><code>+$vair</code></a>
909<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#vang' title="Set ++vast parameters"><code>++vang</code></a>
910<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#vase' title="Type-value pair"><code>+$vase</code></a>
911<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#vast' title="Main parsing core"><code>++vast</code></a>
912<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#v-coco' title="Render base-32 with minimum length"><code>++v-co:co</code></a>
913<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#vein' title="Search trace"><code>+$vein</code></a>
914<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#ven' title="Axis syntax parser"><code>++ven</code></a>
915<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#vest' title="Parse hoon"><code>++vest</code></a>
916<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#vial' title="co/contra/in/bi"><code>+$vial</code></a>
917<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#vice' title="Parse wide-form hoon"><code>++vice</code></a>
918<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#vise' title="Old vase"><code>+$vise</code></a>
919<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#vit' title="Parse base 64 digit"><code>++vit</code></a>
920<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#vizag' title="Parse base 32 digit with dot separators"><code>++viz:ag</code></a>
921<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#voyab' title="Parse bas, soq, or bix"><code>++voy:ab</code></a>
922<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#vul' title="Comments to null"><code>++vul</code></a>
923<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#vumag' title="Parse base 32 string"><code>++vum:ag</code></a>
927<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#wne' title="Render base 64 digit"><code>++w:ne</code></a>
928<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wack' title="Knot escape"><code>++wack</code></a>
929<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#wain' title="List of cords"><code>+$wain</code></a>
930<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#wall' title="List of list of characters"><code>+$wall</code></a>
931<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#wash' title="Render tank at width"><code>++wash</code></a>
932<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#w-coco' title="Render base-64 with minimum length"><code>++w-co:co</code></a>
933<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#weld' title="Concatenate two lists"><code>++weld</code></a>
934<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#weldnl' title="Concatenate nullterminated nouns"><code>++weld:nl</code></a>
935<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#welp' title="Perfect concatenate (lists)"><code>++welp</code></a>
936<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#what' title="Help slogan/section"><code>+$what</code></a>
937<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#whenso' title="Parse date"><code>++when:so</code></a>
938<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#whit' title="Documentation"><code>+$whit</code></a>
939<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wick' title="Knot unescape"><code>++wick</code></a>
940<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#winre' title="Render at indent"><code>++win:re</code></a>
941<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#wing' title="Search path"><code>+$wing</code></a>
942<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#wizag' title="Parse base 64 number"><code>++wiz:ag</code></a>
943<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#woad' title="Unescape cord"><code>++woad</code></a>
944<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wood' title="Escape cord"><code>++wood</code></a>
945<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#woof' title="Simple embed"><code>+$woof</code></a>
946<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#wonk' title="Product from edge"><code>++wonk</code></a>
947<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#wredun' title="Restore structure"><code>++wred:un</code></a>
948<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#wrenun' title="Conceal structure"><code>++wren:un</code></a>
949<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#wut' title="Parse ? (wut)"><code>++wut</code></a>
950<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#wytby' title="Produce depth of tree map"><code>++wyt:by</code></a>
951<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#wytin' title="Produce number of elements in set"><code>++wyt:in</code></a>
955<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#x-coco' title="Render hex with minimum length"><code>++x-co:co</code></a>
956<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#xne' title="Render hexadecimal digit as atom of ASCII byte value"><code>++x:ne</code></a>
957<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#xeb' title="Binary logarithm"><code>++xeb</code></a>
958<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#xpdfl' title="Expand signed and unsigned integer cell"><code>++xpd:fl</code></a>
962<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yall' title="Time since beginning of time"><code>++yall</code></a>
963<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yawn' title="Days since beginning of time"><code>++yawn</code></a>
964<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#y-coco' title="Render decimal with at least two digits"><code>++y-co:co</code></a>
965<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#year' title="Date to @d"><code>++year</code></a>
966<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yell' title="Tarp from atomic date"><code>++yell</code></a>
967<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yelp' title="Determine if leapweek"><code>++yelp</code></a>
968<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yeryo' title="Seconds in year"><code>++yer:yo</code></a>
969<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yo' title="Time constants core"><code>++yo</code></a>
970<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yore' title="Date from atomic date"><code>++yore</code></a>
971<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yule' title="Daily time to time atom"><code>++yule</code></a>
975<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zaftun' title="Look up in 255 sub box"><code>++zaft:un</code></a>
976<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zagmu' title="Add bottom into top"><code>++zag:mu</code></a>
977<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#zap' title="Parse ! (zap)"><code>++zap</code></a>
978<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zartun' title="Reverse look up in 255 sub box"><code>++zart:un</code></a>
979<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#z-coco' title="Render '0x'-prefixed hex"><code>++z-co:co</code></a>
980<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#zerfl' title="Produce zero as float"><code>++zer:fl</code></a>
981<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zigmu' title="Subtract bottom from top"><code>++zig:mu</code></a>
982<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#zing' title="Turn lists into single list by promoting elements from sublists"><code>++zing</code></a>
983<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zugmu' title="Concatenate into atom"><code>++zug:mu</code></a>
984<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#zustso' title="Parse dimes from @i, @f, @r or @q"><code>++zust:so</code></a>
985<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zyftun' title="Lookup byte in 256 sub box"><code>++zyft:un</code></a>
986<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zyrtun' title="Reverse lookup byte in 256 sub box"><code>++zyrt:un</code></a>
990### 1a: basic arithmetic
992<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#add' title="Add"><code>++add</code></a>
993<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#dec' title="Decrement"><code>++dec</code></a>
994<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#div' title="Divide"><code>++div</code></a>
995<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#dvr' title="Divide (with remainder)"><code>++dvr</code></a>
996<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#gte' title="Greater than / equal"><code>++gte</code></a>
997<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#gth' title="Greater than"><code>++gth</code></a>
998<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#lte' title="Less than / equal (atom)"><code>++lte</code></a>
999<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#lth' title="Less than (atom)"><code>++lth</code></a>
1000<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#max' title="Maximum"><code>++max</code></a>
1001<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#min' title="Minimum (atom)"><code>++min</code></a>
1002<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#mod' title="Modulus (atom)"><code>++mod</code></a>
1003<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#mul' title="Multiply (atom)"><code>++mul</code></a>
1004<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#sub' title="Subtract"><code>++sub</code></a>
1006### 1b: tree addressing
1008<a class="tooltip" href='/docs/hoon/reference/stdlib/1b/#cap' title="Tree head"><code>++cap</code></a>
1009<a class="tooltip" href='/docs/hoon/reference/stdlib/1b/#mas' title="Address within head/tail"><code>++mas</code></a>
1010<a class="tooltip" href='/docs/hoon/reference/stdlib/1b/#peg' title="Address within address"><code>++peg</code></a>
1012### 1c: molds and mold builders
1014<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#bite' title="Atom slice specificier"><code>$bite</code></a>
1015<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#bloq' title="Blocksize"><code>$bloq</code></a>
1016<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#each' title="Mold of fork between two types"><code>++each</code></a>
1017<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#gate' title="Function"><code>++gate</code></a>
1018<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#list' title="Mold constructor (list)"><code>++list</code></a>
1019<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#lone' title="Mold generator (face on mold)"><code>++lone</code></a>
1020<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#pair' title="Mold of pair of types"><code>++pair</code></a>
1021<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#pole' title="Mold generator of faceless list"><code>++pole</code></a>
1022<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#quip' title="Mold generator (tuple of list and type)"><code>++quip</code></a>
1023<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#step' title="Atom size or offset, in bloqs"><code>++step</code></a>
1024<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#trap' title="Core with one arm $"><code>++trap</code></a>
1025<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#tree' title="Mold generator (tree)"><code>++tree</code></a>
1026<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#trel' title="Mold generator (tuple of three types)"><code>++trel</code></a>
1027<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#unit' title="Mold generator (maybe)"><code>++unit</code></a>
1031<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#biff' title="Unit as argument"><code>++biff</code></a>
1032<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#bind' title="Nonunit function to unit, producing unit"><code>++bind</code></a>
1033<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#bond' title="Replace null"><code>++bond</code></a>
1034<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#both' title="Group unit values into pair"><code>++both</code></a>
1035<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#clap' title="Combine two units with function"><code>++clap</code></a>
1036<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#clef' title="Compose two units with function"><code>++clef</code></a>
1037<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#drop' title="Unit to list"><code>++drop</code></a>
1038<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#fall' title="Give unit a default value"><code>++fall</code></a>
1039<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#flit' title="Make filter"><code>++flit</code></a>
1040<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#hunt' title="Select between two units by a rule"><code>++hunt</code></a>
1041<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#lift' title="Curried bind"><code>++lift</code></a>
1042<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#mate' title="Choose"><code>++mate</code></a>
1043<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#need' title="Unwrap unit"><code>++need</code></a>
1044<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#some' title="Wrap value in unit"><code>++some</code></a>
1048<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#bake' title="Convert wet gate to dry gate"><code>++bake</code></a>
1049<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#fand' title="All indices in list"><code>++fand</code></a>
1050<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#find' title="First index in list"><code>++find</code></a>
1051<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#flop' title="Reverse list"><code>++flop</code></a>
1052<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#gulf' title="List from range"><code>++gulf</code></a>
1053<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#homo' title="Homogenize list"><code>++homo</code></a>
1054<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#join' title="Add separator between list elements"><code>++join</code></a>
1055<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#lent' title="List length"><code>++lent</code></a>
1056<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#levy' title="Logical AND on list"><code>++levy</code></a>
1057<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#lien' title="Logical OR on list"><code>++lien</code></a>
1058<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#limo' title="Construct list from nullterminated tuple"><code>++limo</code></a>
1059<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#murn' title="Maybe transform"><code>++murn</code></a>
1060<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#oust' title="Remove from list"><code>++oust</code></a>
1061<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#reap' title="Replicate (list)"><code>++reap</code></a>
1062<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#reel' title="Right fold (list)"><code>++reel</code></a>
1063<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#roll' title="Left fold (list)"><code>++roll</code></a>
1064<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#scag' title="Prefix (produce front of list)"><code>++scag</code></a>
1065<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#skid' title="Separate list into two lists from slammed elments"><code>++skid</code></a>
1066<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#skim' title="Produce list of elements from boolean gate"><code>++skim</code></a>
1067<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#skip' title="Produce list of elements failing boolean gate"><code>++skip</code></a>
1068<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#slag' title="Produce all elements from index in list"><code>++slag</code></a>
1069<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#snag' title="Produce element at specific index (list)"><code>++snag</code></a>
1070<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#snip' title="Drop tail off list"><code>++snip</code></a>
1071<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#snoc' title="Append noun to list"><code>++snoc</code></a>
1072<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#sort' title="Quicksort (list)"><code>++sort</code></a>
1073<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#spin' title="Gate to list (with state)"><code>++spin</code></a>
1074<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#spun' title="Gate to list (with state)"><code>++spun</code></a>
1075<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#swag' title="Infix (list)"><code>++swag</code></a>
1076<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#turn' title="Gate to list"><code>++turn</code></a>
1077<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#weld' title="Concatenate two lists"><code>++weld</code></a>
1078<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#welp' title="Perfect concatenate (lists)"><code>++welp</code></a>
1079<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#zing' title="Turn lists into single list by promoting elements from sublists"><code>++zing</code></a>
1081### 2c: bit arithmetic
1083<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#fe' title="Modulo bloq"><code>++fe</code></a>
1084<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#diffe' title="Difference between atoms (modular basis)"><code>++dif:fe</code></a>
1085<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#invfe' title="Inverse order of modular field"><code>++inv:fe</code></a>
1086<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#netfe' title="Flip endianness"><code>++net:fe</code></a>
1087<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#outfe' title="Maximum integer value"><code>++out:fe</code></a>
1088<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rolfe' title="Roll left"><code>++rol:fe</code></a>
1089<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rorfe' title="Roll right"><code>++ror:fe</code></a>
1090<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sitfe' title="Enforce modulo"><code>++sit:fe</code></a>
1091<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sumfe' title="Sum two numbers in modular field"><code>++sum:fe</code></a>
1093<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#bex' title="Binary exponent"><code>++bex</code></a>
1094<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#can' title="Assemble"><code>++can</code></a>
1095<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#cat' title="Concatenate"><code>++cat</code></a>
1096<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#cut' title="Slice"><code>++cut</code></a>
1097<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#end' title="Tail"><code>++end</code></a>
1098<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#fil' title="Fill bloqstream"><code>++fil</code></a>
1099<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#lsh' title="Leftshift"><code>++lsh</code></a>
1100<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#met' title="Measure"><code>++met</code></a>
1101<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rap' title="Assemble nonzero"><code>++rap</code></a>
1102<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rep' title="Assemble single"><code>++rep</code></a>
1103<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rip' title="Disassemble"><code>++rip</code></a>
1104<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rev' title="Reverse"><code>++rev</code></a>
1105<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rsh' title="Rightshift"><code>++rsh</code></a>
1106<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sew' title="Stitch one atom into another"><code>++sew</code></a>
1107<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#swp' title="Reverse block order"><code>++swp</code></a>
1108<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#xeb' title="Binary logarithm"><code>++xeb</code></a>
1112<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#con' title="Binary OR"><code>++con</code></a>
1113<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#dis' title="Binary AND (atoms)"><code>++dis</code></a>
1114<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#mix' title="Binary XOR (atom)"><code>++mix</code></a>
1115<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#not' title="Binary NOT (atom)"><code>++not</code></a>
1117### 2e: insecure hashing
1119<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#mug' title="FNV1a scrambler"><code>++mug</code></a>
1120<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#muk' title="Standard MurmurHash3"><code>++muk</code></a>
1122### 2f: noun ordering
1124<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#aor' title="Alphabetical order"><code>++aor</code></a>
1125<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#dor' title="Depth order"><code>++dor</code></a>
1126<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#gor' title="Mug order"><code>++gor</code></a>
1127<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#mor' title="(more) mug order"><code>++mor</code></a>
1129### 2g: unsigned powers
1131<a class="tooltip" href='/docs/hoon/reference/stdlib/2g/#pow' title="Computes a to the power of b"><code>++pow</code></a>
1132<a class="tooltip" href='/docs/hoon/reference/stdlib/2g/#sqt' title="Compute square root with remainder"><code>++sqt</code></a>
1136<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#in'><code>++in</code></a>
1137<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#allin' title="Logical AND (set and wet gate)"><code>++all:in</code></a>
1138<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#anyin' title="Logical OR (set and gate)"><code>++any:in</code></a>
1139<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#aptin' title="Check correctness (set)"><code>++apt:in</code></a>
1140<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#bifin' title="Bifurcate set"><code>++bif:in</code></a>
1141<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#delin' title="Delete (set)"><code>++del:in</code></a>
1142<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#difin' title='Difference (set)'><code>++dif:in</code></a>
1143<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#digin' title="Address of a in set"><code>++dig:in</code></a>
1144<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#gasin' title="Concatenate (set)"><code>++gas:in</code></a>
1145<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#hasin' title="Key existence check (set)"><code>++has:in</code></a>
1146<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#intin' title="Intersection (set)"><code>++int:in</code></a>
1147<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#putin' title="Put b in a (set)"><code>++put:in</code></a>
1148<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#repin' title="Accumulate elements (set)"><code>++rep:in</code></a>
1149<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#runin' title="Apply gate to set"><code>++run:in</code></a>
1150<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#tapin' title="Flatten set into list"><code>++tap:in</code></a>
1151<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#uniin' title="Union (sets)"><code>++uni:in</code></a>
1152<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#wytin' title="Produce number of elements in set"><code>++wyt:in</code></a>
1156<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#by' title="Map operations"><code>++by</code></a>
1157<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#allby' title="Logical AND (map and wet gate)"><code>++all:by</code></a>
1158<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#anyby' title="Logical OR (map and wet gate)"><code>++any:by</code></a>
1159<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#aptby' title="Check correctness (map)"><code>++apt:by</code></a>
1160<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#bifby' title="Bifurcate map"><code>++bif:by</code></a>
1161<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#delby' title="Delete (map)"><code>++del:by</code></a>
1162<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#difby' title="Difference between maps"><code>++dif:by</code></a>
1163<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#digby' title="Address of key (map)"><code>++dig:by</code></a>
1164<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#gasby' title="Concatenate (map)"><code>++gas:by</code></a>
1165<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#getby' title="Grab unit value"><code>++get:by</code></a>
1166<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#gotby' title="Assert for value (map)"><code>++got:by</code></a>
1167<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#hasby' title="Key existence check (map)"><code>++has:by</code></a>
1168<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#intby' title="Intersection (map)"><code>++int:by</code></a>
1169<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#jabby' title="Transform value (map)"><code>++jab:by</code></a>
1170<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#keyby' title="Set of keys"><code>++key:by</code></a>
1171<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#marby' title="Add with validation (map)"><code>++mar:by</code></a>
1172<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#putby' title="Add keyvalue pair (map)"><code>++put:by</code></a>
1173<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#repby' title="Reduce to product (map)"><code>++rep:by</code></a>
1174<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#ribby' title="Transform + product (map)"><code>++rib:by</code></a>
1175<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#runby' title="Transform values (map)"><code>++run:by</code></a>
1176<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#rutby' title="Transform nodes (map)"><code>++rut:by</code></a>
1177<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#tapby' title="Listify pairs"><code>++tap:by</code></a>
1178<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#uniby' title="Union, merge (map)"><code>++uni:by</code></a>
1179<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#unoby' title="General union (map)"><code>++uno:by</code></a>
1180<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#urnby' title="Turn (with key) (map)"><code>++urn:by</code></a>
1181<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#wytby' title="Produce depth of tree map"><code>++wyt:by</code></a>
1183### 2j: jar and jug logic
1185<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#ja' title="Jar engine"><code>++ja</code></a>
1186<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#addja' title="Prepend to list"><code>++add:ja</code></a>
1187<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#getja' title="Grab value by key"><code>++get:ja</code></a>
1189<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#ju' title="Jug operations"><code>++ju</code></a>
1190<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#delju' title="Delete (jug)"><code>++del:ju</code></a>
1191<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#gasju' title="Concatenate (jug)"><code>++gas:ju</code></a>
1192<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#getju' title="Retrieve set"><code>++get:ju</code></a>
1193<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#hasju' title="Check contents (jug)"><code>++has:ju</code></a>
1194<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#putju' title="Add keyset pair (jar)"><code>++put:ju</code></a>
1198<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#to' title="Queue operations"><code>++to</code></a>
1199<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#aptto' title="Check correctness of queue"><code>++apt:to</code></a>
1200<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#balto' title="Balance queue"><code>++bal:to</code></a>
1201<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#depto' title="Maximum depth (queue)"><code>++dep:to</code></a>
1202<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#gasto' title="Push list into queue"><code>++gas:to</code></a>
1203<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#getto' title="Headtail pair"><code>++get:to</code></a>
1204<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#napto' title="Remove head of queue"><code>++nap:to</code></a>
1205<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#nipto' title="Remove root of queue"><code>++nip:to</code></a>
1206<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#putto' title="Insert into queue"><code>++put:to</code></a>
1207<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#tapto' title="Queue to list"><code>++tap:to</code></a>
1208<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#topto' title="Produce head of queue"><code>++top:to</code></a>
1210### 2l: container from container
1212<a class="tooltip" href='/docs/hoon/reference/stdlib/2l/#malt' title="Map from list"><code>++malt</code></a>
1213<a class="tooltip" href='/docs/hoon/reference/stdlib/2l/#molt' title="Map from pair list"><code>++molt</code></a>
1214<a class="tooltip" href='/docs/hoon/reference/stdlib/2l/#silt' title="Produce set from list"><code>++silt</code></a>
1216### 2m: container from noun
1218<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#nl' title="Noun to container operations"><code>++nl</code></a>
1219<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#lenl' title="Construct list from nullterminated noun"><code>++le:nl</code></a>
1220<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#mynl' title="Construct map from nullterminated noun"><code>++my:nl</code></a>
1221<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#sinl' title="Construct set from nullterminated noun"><code>++si:nl</code></a>
1222<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#snagnl' title="Produce element from list at specific nullterminated noun"><code>++snag:nl</code></a>
1223<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#weldnl' title="Concatenate nullterminated nouns"><code>++weld:nl</code></a>
1225<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#ly' title="List from raw noun"><code>++ly</code></a>
1226<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#my' title="Map from raw noun"><code>++my</code></a>
1227<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#sy' title="Produce set from nullterminated noun"><code>++sy</code></a>
1229### 2n: functional hacks
1231<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#aftr' title="Pair after"><code>++aftr</code></a>
1232<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#cork' title="Compose forward"><code>++cork</code></a>
1233<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#corl' title="Compose backward"><code>++corl</code></a>
1234<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#curr' title="Rightcurry a gate"><code>++curr</code></a>
1235<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#cury' title="Curry left a gate"><code>++cury</code></a>
1236<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#fore' title="Pair before"><code>++fore</code></a>
1237<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#head' title="Get head of cell"><code>++head</code></a>
1238<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#same' title="Identity (produces same value)"><code>++same</code></a>
1239<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#succ' title="Successor"><code>++succ</code></a>
1240<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#tail' title="Get tail of cell"><code>++tail</code></a>
1241<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#test' title="Test for equality"><code>++test</code></a>
1242<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#lead' title="Put head"><code>++lead</code></a>
1243<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#late' title="Put tail"><code>++late</code></a>
1245### 2o: normalizing containers
1247<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#jar' title="Mold generator (jar)"><code>++jar</code></a>
1248<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#jug' title="Mold generator (jug)"><code>++jug</code></a>
1249<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#map' title="Mold generator (map)"><code>++map</code></a>
1250<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#qeu' title="Mold generator (queue)"><code>++qeu</code></a>
1251<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#set' title="Mold generator (set)"><code>++set</code></a>
1253### 2p: serialization
1255<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#cue' title="Unpack atom to noun"><code>++cue</code></a>
1256<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#jam' title="Pack noun to atom"><code>++jam</code></a>
1257<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#mat' title="Lengthencode"><code>++mat</code></a>
1258<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#rub' title="Lengthdecode"><code>++rub</code></a>
1260### 2q: molds and mold builders
1262<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#axis' title="Tree address"><code>+$axis</code></a>
1263<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#bean' title="Boolean"><code>+$bean</code></a>
1264<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#char' title="Character"><code>+$char</code></a>
1265<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#cord' title="UTF8 text"><code>+$cord</code></a>
1266<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#byts' title="bytes, LSB first"><code>+$byts</code></a>
1267<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#date' title="Parsed date"><code>+$date</code></a>
1268<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#flag' title="Boolean (flag)"><code>+$flag</code></a>
1269<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#knot' title="Atom type of ASCII characters"><code>+$knot</code></a>
1270<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#noun' title="Any noun"><code>+$noun</code></a>
1271<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#path' title="Like unix path"><code>+$path</code></a>
1272<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#stud' title="Standard name"><code>+$stud</code></a>
1273<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tang' title="Bottom-first error"><code>+$tang</code></a>
1274<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tank' title="Formatted print tree"><code>+$tank</code></a>
1275<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tape' title="List of characters"><code>+$tape</code></a>
1276<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tour' title="UTF-32 clusters"><code>+$tour</code></a>
1277<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tarp' title="Parsed time"><code>+$tarp</code></a>
1278<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#term' title="Hoon constant"><code>+$term</code></a>
1279<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#wain' title="List of cords"><code>+$wain</code></a>
1280<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#wall' title="List of list of characters"><code>+$wall</code></a>
1282### 3a: modular and signed ints
1284<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#fo' title="Modulo prime"><code>++fo</code></a>
1285<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#diffo' title='Subtraction (modular base)'><code>++dif:fo</code></a>
1286<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#expfo' title="Exponent (modular base)"><code>++exp:fo</code></a>
1287<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#frafo' title="Divide (modular base)"><code>++fra:fo</code></a>
1288<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#invfo' title="Inverse (signed modulus)"><code>++inv:fo</code></a>
1289<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#profo' title="Multiplies b and c modulo a"><code>++pro:fo</code></a>
1290<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sitfo' title="Produce remainder of b modulo a"><code>++sit:fo</code></a>
1291<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sumfo' title="Modular sum"><code>++sum:fo</code></a>
1293<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#si' title="Signed integer"><code>++si</code></a>
1294<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#abssi' title="Absolute value (signed integer)"><code>++abs:si</code></a>
1295<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#cmpsi' title="Compare (signed integer)"><code>++cmp:si</code></a>
1296<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#difsi' title="Subtraction (signed integer)"><code>++dif:si</code></a>
1297<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#dulsi' title="Modulus (signed integer)"><code>++dul:si</code></a>
1298<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#frasi' title="Divide (signed integer)"><code>++fra:si</code></a>
1299<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#newsi' title="Atom to @s"><code>++new:si</code></a>
1300<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#oldsi' title="Sign and absolute value"><code>++old:si</code></a>
1301<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#prosi' title="Multiply to signed integer"><code>++pro:si</code></a>
1302<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#remsi' title="Remainder (signed integer)"><code>++rem:si</code></a>
1303<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sumsi' title="Addition (signed integer)"><code>++sum:si</code></a>
1304<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sunsi' title="@u to @s"><code>++sun:si</code></a>
1305<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#synsi' title="Sign test"><code>++syn:si</code></a>
1307<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#egcd' title="Extended Euclidean algorithm"><code>++egcd</code></a>
1309### 3b: floating point
1311<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#dn'><code>++dn</code></a>
1312<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fn'><code>++fn</code></a>
1313<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rn'><code>++rn</code></a>
1315<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ff'><code>++ff</code></a>
1316<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addff' title="Add (floating point)"><code>++add:ff</code></a>
1317<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bifff' title="Converts from fn to @r"><code>++bif:ff</code></a>
1318<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitff' title="fn to @r with rounding"><code>++bit:ff</code></a>
1319<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divff' title="Divide (IEEE float)"><code>++div:ff</code></a>
1320<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgff' title="@r to decimal float"><code>++drg:ff</code></a>
1321<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equff' title="Equals (IEEE float)"><code>++equ:ff</code></a>
1322<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#expff' title="Get exponent (IEEE float)"><code>++exp:ff</code></a>
1323<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmaff' title="Fused multiplyadd (IEEE float)"><code>++fma:ff</code></a>
1324<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdff' title="Decimal float to @r"><code>++grd:ff</code></a>
1325<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gteff' title="Greater than / equal (IEEE float)"><code>++gte:ff</code></a>
1326<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthff' title="Greater than (IEEE float)"><code>++gth:ff</code></a>
1327<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lteff' title="Less than / equal (IEEE float)"><code>++lte:ff</code></a>
1328<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthff' title="Less than (IEEE float)"><code>++lth:ff</code></a>
1329<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#meff' title="Minimum exponent of ff"><code>++me:ff</code></a>
1330<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulff' title="Multiply (IEEE float)"><code>++mul:ff</code></a>
1331<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#paff' title="Initialize fl from ff core"><code>++pa:ff</code></a>
1332<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanff' title="Signed integer to @r"><code>++san:ff</code></a>
1333<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sbff' title="Sign bit"><code>++sb:ff</code></a>
1334<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#seaff' title="Convert from IEEE float to fn"><code>++sea:ff</code></a>
1335<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigff' title="Produce sign of IEEE float"><code>++sig:ff</code></a>
1336<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtff' title="Produce square root from IEEE float"><code>++sqt:ff</code></a>
1337<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subff' title="Subtract from IEEE float"><code>++sub:ff</code></a>
1338<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunff' title="Unsigned integer to IEEE float"><code>++sun:ff</code></a>
1339<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toiff' title="Round IEEE float to nearest signed integer"><code>++toi:ff</code></a>
1341<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fl'><code>++fl</code></a>
1342<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#absfl' title="Absolute value"><code>++abs:fl</code></a>
1343<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addfl' title="Add (with exact/rounded flag)"><code>++add:fl</code></a>
1344<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#denfl' title="Denormalizes (floating point)"><code>++den:fl</code></a>
1345<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divfl' title="Divide (signed and unsigned integer cell)"><code>++div:fl</code></a>
1346<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgfl' title="Get printable decimal (signed and unsigned integer cell)"><code>++drg:fl</code></a>
1347<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#eadfl' title="Exact add"><code>++ead:fl</code></a>
1348<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emnfl' title="Minimum exponent"><code>++emn:fl</code></a>
1349<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emufl' title="Exact multiply"><code>++emu:fl</code></a>
1350<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emxfl' title="Maximum exponent"><code>++emx:fl</code></a>
1351<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equfl' title="Equals (signed and unsigned integer cell)"><code>++equ:fl</code></a>
1352<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#flifl' title="Flip sign"><code>++fli:fl</code></a>
1353<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmafl' title="Fused multiplyadd"><code>++fma:fl</code></a>
1354<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdfl' title="Decimal to float"><code>++grd:fl</code></a>
1355<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gtefl' title="Greater than / equal (producing flag)"><code>++gte:fl</code></a>
1356<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthfl' title="Greater than (producing flag)"><code>++gth:fl</code></a>
1357<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#iblfl' title="Integer binary logarithm"><code>++ibl:fl</code></a>
1358<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#invfl' title="Inverse"><code>++inv:fl</code></a>
1359<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lfefl' title="Maximum"><code>++lfe:fl</code></a>
1360<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lfnfl' title="Largest normal float"><code>++lfn:fl</code></a>
1361<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ltefl' title="Less than / equal (producing flag)"><code>++lte:fl</code></a>
1362<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthfl' title="Less than (signed and unsigned integer cell)"><code>++lth:fl</code></a>
1363<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lugfl' title="Central rounding mechanism"><code>++lug:fl</code></a>
1364<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulfl' title="Multiply (signed and unsigned integer cell)"><code>++mul:fl</code></a>
1365<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#nedfl' title="Require float"><code>++ned:fl</code></a>
1366<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#prcfl' title="Force precision of 2 or greater (floating point)"><code>++prc:fl</code></a>
1367<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#raufl' title="Various roundings (floating point)"><code>++rau:fl</code></a>
1368<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#roufl' title="Round to nearest float with 113bit significand"><code>++rou:fl</code></a>
1369<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanfl' title="Signed integer to float"><code>++san:fl</code></a>
1370<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#shffl' title="Shift power"><code>++shf:fl</code></a>
1371<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#spdfl' title="Produce smallest denormalized float"><code>++spd:fl</code></a>
1372<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#spnfl' title="Produce smallest normal float"><code>++spn:fl</code></a>
1373<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtfl' title="Produce square root from signed and unsigned integer cell"><code>++sqt:fl</code></a>
1374<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subfl' title="Subtract from signed and unsigned integer cells"><code>++sub:fl</code></a>
1375<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunfl' title="Unsigned integer to float"><code>++sun:fl</code></a>
1376<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#swrfl' title="Switch rounding mode of floating point"><code>++swr:fl</code></a>
1377<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#synfl' title="Get sign"><code>++syn:fl</code></a>
1378<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toifl' title="Round float to nearest signed integer"><code>++toi:fl</code></a>
1379<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#tojfl' title="Round unsigned and signed integer to float"><code>++toj:fl</code></a>
1380<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#unifl' title="Change representation to odd"><code>++uni:fl</code></a>
1381<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#xpdfl' title="Expand signed and unsigned integer cell"><code>++xpd:fl</code></a>
1382<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#zerfl' title="Produce zero as float"><code>++zer:fl</code></a>
1384<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rd'><code>++rd</code></a>
1385<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addrd' title="Add (doubleprecision float)"><code>++add:rd</code></a>
1386<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitrd' title="fn to doubleprecision binary float"><code>++bit:rd</code></a>
1387<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divrd' title="Double precision float"><code>++div:rd</code></a>
1388<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgrd' title="@rd to decimal float"><code>++drg:rd</code></a>
1389<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equrd' title="Equals (doubleprecision float)"><code>++equ:rd</code></a>
1390<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exprd' title="Exponent (@rd)"><code>++exp:rd</code></a>
1391<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmard' title="Fused multiplyadd (@rd)"><code>++fma:rd</code></a>
1392<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdrd' title="Decimal float to @rd"><code>++grd:rd</code></a>
1393<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gterd' title="Greater than / equal (doubleprecision float)"><code>++gte:rd</code></a>
1394<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthrd' title="Greater than (doubleprecision float)"><code>++gth:rd</code></a>
1395<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lterd' title="Less than / equal (doubleprecision float)"><code>++lte:rd</code></a>
1396<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthrd' title="Less than (doubleprecision float)"><code>++lth:rd</code></a>
1397<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mard' title="Initialize ff (rd core)"><code>++ma:rd</code></a>
1398<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulrd' title="Multiply (doubleprecision float)"><code>++mul:rd</code></a>
1399<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanrd' title="Unsigned integer to @rd"><code>++san:rd</code></a>
1400<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#seard' title="Convert from doubleprecision binary float to fn"><code>++sea:rd</code></a>
1401<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigrd' title="Produce sign of @rd"><code>++sig:rd</code></a>
1402<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtrd' title="Produce square root of doubleprecision float"><code>++sqt:rd</code></a>
1403<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subrd' title="Subtract from doubleprecision float"><code>++sub:rd</code></a>
1404<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunrd' title="Unsigned integer to doubleprecision float"><code>++sun:rd</code></a>
1405<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toird' title="Round doubleprecision float to nearest signed integer"><code>++toi:rd</code></a>
1407<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rh'><code>++rh</code></a>
1408<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addrh' title="Add (halfprecision float)"><code>++add:rh</code></a>
1409<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitrh' title="fn to halfprecision float"><code>++bit:rh</code></a>
1410<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divrh' title="Divide (halfprecision float)"><code>++div:rh</code></a>
1411<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgrh' title="@rh to decimal float"><code>++drg:rh</code></a>
1412<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equrh' title="Equals (halfprecision float)"><code>++equ:rh</code></a>
1413<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exprh' title="Exponent (halfprecision float)"><code>++exp:rh</code></a>
1414<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmarh' title="Fused multiplyadd (halfprecision float)"><code>++fma:rh</code></a>
1415<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fosrh' title="@rs to @rh"><code>++fos:rh</code></a>
1416<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdrh' title="Decimal float to @rh"><code>++grd:rh</code></a>
1417<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gterh' title="Greater than / equal (halfprecision float)"><code>++gte:rh</code></a>
1418<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthrh' title="Greater than (halfprecision float)"><code>++gth:rh</code></a>
1419<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lterh' title="Less than / equal (halfprecision float)"><code>++lte:rh</code></a>
1420<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthrh' title="Less than (halfprecision float)"><code>++lth:rh</code></a>
1421<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#marh' title="Initialize ff (rh core)"><code>++ma:rh</code></a>
1422<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulrh' title="Multiply (quadprecision float)"><code>++mul:rh</code></a>
1423<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanrh' title="Signed integer to @rh"><code>++san:rh</code></a>
1424<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#searh' title="Convert from halfprecision float to fn"><code>++sea:rh</code></a>
1425<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigrh' title="Produce sign of halfprecision float"><code>++sig:rh</code></a>
1426<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtrh' title="Produce square root of halfprecision float"><code>++sqt:rh</code></a>
1427<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subrh' title="Subtract from halfprecision float"><code>++sub:rh</code></a>
1428<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunrh' title="Unsigned integer to halfprecision float"><code>++sun:rh</code></a>
1429<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toirh' title="Round halfprecision float to nearest signed integer"><code>++toi:rh</code></a>
1430<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#tosrh' title="Convert halfprecision float to singleprecision float"><code>++tos:rh</code></a>
1432<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rs'><code>++rs</code></a>
1433<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addrs' title="Add (singleprecision float)"><code>++add:rs</code></a>
1434<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitrs' title="fn to singleprecision float"><code>++bit:rs</code></a>
1435<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divrs' title="Divide (singleprecision float)"><code>++div:rs</code></a>
1436<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgrs' title="@rs to decimal float"><code>++drg:rs</code></a>
1437<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equrs' title="Equals (singleprecision float)"><code>++equ:rs</code></a>
1438<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exprs' title="Exponent (@rs)"><code>++exp:rs</code></a>
1439<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmars' title="Fused multiplyadd (singleprecision float)"><code>++fma:rs</code></a>
1440<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdrs' title="Decimal float to @rs"><code>++grd:rs</code></a>
1441<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gters' title="Greater than / equal (singleprecision float)"><code>++gte:rs</code></a>
1442<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthrs' title="Greater than (singleprecision float)"><code>++gth:rs</code></a>
1443<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lters' title="Less than / equal (singleprecision float)"><code>++lte:rs</code></a>
1444<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthrs' title="Less than (singleprecision float)"><code>++lth:rs</code></a>
1445<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mars' title="Initialize ff (rs core)"><code>++ma:rs</code></a>
1446<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulrs' title="Multiply (singleprecision float)"><code>++mul:rs</code></a>
1447<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanrs' title="Signed integer to @rs"><code>++san:rs</code></a>
1448<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sears' title="Convert from singleprecision float to fn"><code>++sea:rs</code></a>
1449<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigrs' title="Produce sign of @rs"><code>++sig:rs</code></a>
1450<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtrs' title="Produce square root of singleprecision float"><code>++sqt:rs</code></a>
1451<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subrs' title="Subtract from singleprecision float"><code>++sub:rs</code></a>
1452<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunrs' title="Unsigned integer to singleprecision float"><code>++sun:rs</code></a>
1453<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toirs' title="Round singleprecision float to nearest signed integer"><code>++toi:rs</code></a>
1455<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rq'><code>++rq</code></a>
1456<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addrq' title="Add (quadprecision float)"><code>++add:rq</code></a>
1457<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitrq' title="fn to quadprecision float"><code>++bit:rq</code></a>
1458<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divrq' title="Divide (quadprecision float)"><code>++div:rq</code></a>
1459<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgrq' title="@rq to decimal float"><code>++drg:rq</code></a>
1460<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equrq' title="Equals (quadprecision float)"><code>++equ:rq</code></a>
1461<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exprq' title="Exponent (quadprecision float)"><code>++exp:rq</code></a>
1462<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmarq' title="Fused multiplyadd (quadprecision float)"><code>++fma:rq</code></a>
1463<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdrq' title="Decimal float to @rq"><code>++grd:rq</code></a>
1464<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gterq' title="Greater than / equal (quadprecision float)"><code>++gte:rq</code></a>
1465<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthrq' title="Greater than (quadprecision float)"><code>++gth:rq</code></a>
1466<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lterq' title="Less than / equal (quadprecision float)"><code>++lte:rq</code></a>
1467<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthrq' title="Less than (quadprecision float)"><code>++lth:rq</code></a>
1468<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#marq' title="Initialize ff (rq core)"><code>++ma:rq</code></a>
1469<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulrq' title="Multiply (quadprecision float)"><code>++mul:rq</code></a>
1470<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanrq' title="Signed integer to @rq"><code>++san:rq</code></a>
1471<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#searq' title="Convert from quadprecision float to fn"><code>++sea:rq</code></a>
1472<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigrq' title="Produce sign of quadprecision float"><code>++sig:rq</code></a>
1473<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtrq' title="Produce square root of quadprecision float"><code>++sqt:rq</code></a>
1474<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subrq' title="Subtract from quadprecision float"><code>++sub:rq</code></a>
1475<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunrq' title="Unsigned integer to quadprecision float"><code>++sun:rq</code></a>
1476<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toirq' title="Round quadprecision float to nearest signed integer"><code>++toi:rq</code></a>
1478<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rlyd'><code>++rlyd</code></a>
1479<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rlyh'><code>++rlyh</code></a>
1480<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rlyq'><code>++rlyq</code></a>
1481<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rlys'><code>++rlys</code></a>
1482<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ryld'><code>++ryld</code></a>
1483<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rylh'><code>++rylh</code></a>
1484<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rylq'><code>++rylq</code></a>
1485<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ryls'><code>++ryls</code></a>
1489<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yo' title="Time constants core"><code>++yo</code></a>
1490<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#cetyo' title="Days in a century"><code>++cet:yo</code></a>
1491<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#dayyo' title="Seconds in day"><code>++day:yo</code></a>
1492<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#erayo' title="Leapyear period"><code>++era:yo</code></a>
1493<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#horyo' title="Seconds in hour"><code>++hor:yo</code></a>
1494<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#jesyo' title="Maximum 64bit timestamp"><code>++jes:yo</code></a>
1495<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#mityo' title="Seconds in minute"><code>++mit:yo</code></a>
1496<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#mohyo' title="Days in month"><code>++moh:yo</code></a>
1497<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#moyyo' title="Days in months of leapyear"><code>++moy:yo</code></a>
1498<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#qadyo' title="Seconds in 4 years"><code>++qad:yo</code></a>
1499<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yeryo' title="Seconds in year"><code>++yer:yo</code></a>
1501<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yall' title="Time since beginning of time"><code>++yall</code></a>
1502<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yawn' title="Days since beginning of time"><code>++yawn</code></a>
1503<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#year' title="Date to @d"><code>++year</code></a>
1504<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yell' title="Tarp from atomic date"><code>++yell</code></a>
1505<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yelp' title="Determine if leapweek"><code>++yelp</code></a>
1506<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yore' title="Date from atomic date"><code>++yore</code></a>
1507<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yule' title="Daily time to time atom"><code>++yule</code></a>
1509### 3d: SHA hash family
1511<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#og' title="Container arm for SHA256 powered RNG"><code>++og</code></a>
1512<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#radog' title="Random in range"><code>++rad:og</code></a>
1513<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#radsog' title="Random continuation"><code>++rads:og</code></a>
1514<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#rawog' title="Random bits"><code>++raw:og</code></a>
1515<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#rawsog' title="Random bits continuation"><code>++raws:og</code></a>
1517<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shad' title="Double SHA256"><code>++shad</code></a>
1518<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaf' title="Half SHA256"><code>++shaf</code></a>
1519<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shal' title="SHA512 with length"><code>++shal</code></a>
1520<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#sham' title="128bit noun hash"><code>++sham</code></a>
1521<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shan' title="SHA1"><code>++shan</code></a>
1522<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shas' title="Salted hash"><code>++shas</code></a>
1523<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaw' title="Hash to nbits"><code>++shaw</code></a>
1524<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shax' title="SHA256"><code>++shax</code></a>
1525<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shay' title="SHA256 with length"><code>++shay</code></a>
1526<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaz' title="SHA512"><code>++shaz</code></a>
1528### 3e: AES encryption
1530<a href='/docs/hoon/reference/stdlib/3e/'>_(removed)_</a>
1534<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#ob' title="Reversible scrambling v2"><code>++ob</code></a>
1535<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#feinob' title="Conceal structure v3"><code>++fein:ob</code></a>
1536<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#fyndob' title="Restore structure v3"><code>++fynd:ob</code></a>
1537<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#feisob' title="Four-round generalised Feistel cipher over the domain [0, 2^32 - 2^16 - 1]"><code>++feis:ob</code></a>
1538<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#rakuob' title="Key list"><code>++raku:ob</code></a>
1539<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#tailob' title="Reverse +feis"><code>++tail:ob</code></a>
1540<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#feeob' title="Feistel cipher Fe in B&R (2002)"><code>++fee:ob</code></a>
1541<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#feenob' title="Reverse +fee"><code>++feen:ob</code></a>
1542<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#feob' title="Internal function to +fee"><code>++fe:ob</code></a>
1543<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#fenob' title="Reverse +fe"><code>++fen:ob</code></a>
1544<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#effob' title="murmur3-based pseudorandom function"><code>++eff:ob</code></a>
1545<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#un' title="Reversible scrambling"><code>++un</code></a>
1546<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#wredun' title="Restore structure"><code>++wred:un</code></a>
1547<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#wrenun' title="Conceal structure"><code>++wren:un</code></a>
1548<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#xafoun'><code>++xafo:un</code></a>
1549<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#xaroun'><code>++xaro:un</code></a>
1550<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zaftun' title="Look up in 255 sub box"><code>++zaft:un</code></a>
1551<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zartun' title="Reverse look up in 255 sub box"><code>++zart:un</code></a>
1552<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zyftun' title="Lookup byte in 256 sub box"><code>++zyft:un</code></a>
1553<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zyrtun' title="Reverse lookup byte in 256 sub box"><code>++zyrt:un</code></a>
1555### 3g: molds and mold builders
1557<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#coin' title="Nounliteral syntax cases"><code>+$coin</code></a>
1558<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#dime' title="Auraatom pair"><code>+$dime</code></a>
1559<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#edge' title="Parsing location metadata"><code>+$edge</code></a>
1560<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#hair' title="Parsing line and column"><code>+$hair</code></a>
1561<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#like' title="Generic edge"><code>++like</code></a>
1562<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#nail' title="Location, remainder of parsed text"><code>+$nail</code></a>
1563<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#pint' title="Parsing range"><code>+$pint</code></a>
1564<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#rule' title="Parsing rule (match this with _)"><code>+$rule</code></a>
1565<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#spot' title="Stack trace line"><code>+$spot</code></a>
1566<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#tone' title="Nock result (error report)"><code>+$tone</code></a>
1567<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#toon' title="Nock result (stack trace)"><code>+$toon</code></a>
1568<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#wonk' title="Product from edge"><code>++wonk</code></a>
1572<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#po' title="Phonetic base"><code>++po</code></a>
1573<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#indpo' title="Parse suffix"><code>++ind:po</code></a>
1574<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#inspo' title="Parse prefix"><code>++ins:po</code></a>
1575<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#todpo' title="Fetch suffix"><code>++tod:po</code></a>
1576<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#tospo' title="Fetch prefix"><code>++tos:po</code></a>
1577<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#fa' title="base58check"><code>++fa</code></a>
1578<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#chafa' title="Decode base58check character"><code>++cha:fa</code></a>
1579<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#tokfa' title="Compute base58check checksum"><code>++tok:fa</code></a>
1580<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#padfa' title="base58check padding bytes"><code>++pad:fa</code></a>
1581<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#encfa' title="Encode base58check"><code>++enc:fa</code></a>
1582<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#denfa' title="Decode base58check"><code>++den:fa</code></a>
1584### 4b: text processing
1586<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#at' title="Basic printing"><code>++at</code></a>
1587<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rat' title="Print term, number or hex"><code>++r:at</code></a>
1588<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rfat' title="Print loobean"><code>++rf:at</code></a>
1589<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rnat' title="Print null"><code>++rn:at</code></a>
1590<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rtat' title="Print cord, including escape characters"><code>++rt:at</code></a>
1591<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rtaat' title="Print cord, including escape characters"><code>++rta:at</code></a>
1592<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rtamat' title="Print cord with @tas syntax"><code>++rtam:at</code></a>
1593<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rubat' title="Print binary"><code>++rub:at</code></a>
1594<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rudat' title="Print atom as integer"><code>++rud:at</code></a>
1595<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rumat' title="Print base-n"><code>++rum:at</code></a>
1596<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rupat' title="Print @p (outdated)"><code>++rup:at</code></a>
1597<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#ruvat' title="Print base-64"><code>++ruv:at</code></a>
1598<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#ruxat' title="Print hexadecimal"><code>++rux:at</code></a>
1600<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#cass' title="To lowercase"><code>++cass</code></a>
1601<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#crip' title="Tape to cord"><code>++crip</code></a>
1602<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#cuss' title="To uppercase"><code>++cuss</code></a>
1603<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#mesc' title="Escape special characters"><code>++mesc</code></a>
1604<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#runt' title="Prepend n times"><code>++runt</code></a>
1605<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#sand' title="Softcast by aura"><code>++sand</code></a>
1606<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#sane' title="Check aura validity"><code>++sane</code></a>
1607<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#teff' title="UTF8 length"><code>++teff</code></a>
1608<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#trim' title="Tape split"><code>++trim</code></a>
1609<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#trip' title="Cord to tape"><code>++trip</code></a>
1610<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tuba' title="UTF8 to UTF32 tape"><code>++tuba</code></a>
1611<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tufa' title="UTF32 to UTF8 tape"><code>++tufa</code></a>
1612<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tuft' title="UTF32 to UTF8 text"><code>++tuft</code></a>
1613<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#taft' title="UTF8 to UTF32 cord"><code>++taft</code></a>
1614<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wack' title="Knot escape"><code>++wack</code></a>
1615<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wick' title="Knot unescape"><code>++wick</code></a>
1616<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#woad' title="Unescape cord"><code>++woad</code></a>
1617<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wood' title="Escape cord"><code>++wood</code></a>
1621<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#wash' title="Render tank at width"><code>++wash</code></a>
1622<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#re' title="Prettyprinting engine (tank)"><code>++re</code></a>
1623<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#ramre' title="Flatten tank to tape"><code>++ram:re</code></a>
1624<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#winre' title="Render at indent"><code>++win:re</code></a>
1625<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#show' title="Pretty-printer (deprecated)"><code>++show</code></a>
1627### 4d: parsing (tracing)
1629<a class="tooltip" href='/docs/hoon/reference/stdlib/4d/#last' title="Further trace"><code>++last</code></a>
1630<a class="tooltip" href='/docs/hoon/reference/stdlib/4d/#lust' title="Detect new line"><code>++lust</code></a>
1632### 4e: parsing (combinators)
1634<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#bend' title="Conditional composer"><code>++bend</code></a>
1635<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#comp' title="Arbitrary compose"><code>++comp</code></a>
1636<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#fail' title="Never parse"><code>++fail</code></a>
1637<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#glue' title="Skip delimiter"><code>++glue</code></a>
1638<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#less' title="Parse unless"><code>++less</code></a>
1639<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#pfix' title="Discard first rule"><code>++pfix</code></a>
1640<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#plug' title="Parse to tuple"><code>++plug</code></a>
1641<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#pose' title="Parse options"><code>++pose</code></a>
1642<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#sfix' title="Discard second rule"><code>++sfix</code></a>
1643<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#simu' title="First and second"><code>++simu</code></a>
1645### 4f: parsing (rule builders)
1647<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#bass' title="Parser modifier (LSBordered ++list as atom of ++base)"><code>++bass</code></a>
1648<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#boss' title="Parser modifier: LSB"><code>++boss</code></a>
1649<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#cold' title="Replace with constant"><code>++cold</code></a>
1650<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#cook' title="Apply gate"><code>++cook</code></a>
1651<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#easy' title="Always parse"><code>++easy</code></a>
1652<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#full' title="Parse to end"><code>++full</code></a>
1653<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#funk' title="Add to tape"><code>++funk</code></a>
1654<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#fuss' title="Has A or B?"><code>++fuss</code></a>
1655<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#here' title="Placebased apply"><code>++here</code></a>
1656<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#ifix' title="Infix"><code>++ifix</code></a>
1657<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#inde' title="Indentation block"><code>++inde</code></a>
1658<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#jest' title="Match a cord"><code>++jest</code></a>
1659<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#just' title="Match a single character"><code>++just</code></a>
1660<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#knee' title="Recursive parsers"><code>++knee</code></a>
1661<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#mask' title="Match character"><code>++mask</code></a>
1662<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#more' title="Parse list with delimiter"><code>++more</code></a>
1663<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#most' title="Parse list of at least one match"><code>++most</code></a>
1664<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#next' title="Consume character"><code>++next</code></a>
1665<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#perk' title="Parse cube fork"><code>++perk</code></a>
1666<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#plus' title="List of at least one match"><code>++plus</code></a>
1667<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#punt' title="Unitized parse"><code>++punt</code></a>
1668<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#sear' title="Conditional ++cook"><code>++sear</code></a>
1669<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#shim' title="Match character within range"><code>++shim</code></a>
1670<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#slug' title="Use gate to parse delimited list"><code>++slug</code></a>
1671<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stag' title="Add label"><code>++stag</code></a>
1672<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#star' title="Produce list of matches"><code>++star</code></a>
1673<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stet' title="Add faces to rangeparser pairs in list"><code>++stet</code></a>
1674<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stew' title="Switch by first"><code>++stew</code></a>
1675<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stir' title="Parse repeatedly"><code>++stir</code></a>
1676<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stun' title="Parse several times"><code>++stun</code></a>
1678### 4g: parsing (outside caller)
1680<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rash' title="Parse or crash"><code>++rash</code></a>
1681<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rose' title="Parse to each"><code>++rose</code></a>
1682<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rush' title="Parse or null"><code>++rush</code></a>
1683<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rust' title="Parse tape or null"><code>++rust</code></a>
1684<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#scan' title="Parse tape or crash"><code>++scan</code></a>
1686### 4h: parsing (ascii glyphs)
1688<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ace' title="Parse space"><code>++ace</code></a>
1689<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#bar' title="Parse | (bar)"><code>++bar</code></a>
1690<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#bas' title="Parse \ (bas)"><code>++bas</code></a>
1691<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#buc' title="Parse $ (buc)"><code>++buc</code></a>
1692<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#cab' title="Parse _ (cab)"><code>++cab</code></a>
1693<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#cen' title="Parse % (cen)"><code>++cen</code></a>
1694<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#col' title="Parse : (col)"><code>++col</code></a>
1695<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#com' title="Parse , (comma)"><code>++com</code></a>
1696<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#doq' title="Parse double quote"><code>++doq</code></a>
1697<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#dot' title="Parse period"><code>++dot</code></a>
1698<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#fas' title="Parse / (fas)"><code>++fas</code></a>
1699<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#gal' title="Parse < (gal)"><code>++gal</code></a>
1700<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#gar' title="Parse > (gar)"><code>++gar</code></a>
1701<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#hax' title="Parse # (hax)"><code>++hax</code></a>
1702<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#hep' title="Parse (hep)"><code>++hep</code></a>
1703<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#kel' title="Parse { (kel)"><code>++kel</code></a>
1704<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ker' title="Parse } (ker)"><code>++ker</code></a>
1705<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ket' title="Parse ^ (ket)"><code>++ket</code></a>
1706<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#lus' title="Parse + (lus)"><code>++lus</code></a>
1707<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#pam' title="Parse & (pam)"><code>++pam</code></a>
1708<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#pat' title="Parse @ (pat)"><code>++pat</code></a>
1709<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#pal' title="Parse ( (pal)"><code>++pal</code></a>
1710<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#par' title="Parse ) (par)"><code>++par</code></a>
1711<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#sel' title="Parse [ (sel)"><code>++sel</code></a>
1712<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#mic' title="Parse ; (mic)"><code>++mic</code></a>
1713<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ser' title="Parse ] (ser)"><code>++ser</code></a>
1714<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#sig' title="Parse ~ (sig)"><code>++sig</code></a>
1715<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#soq' title="Parse ' (soq)"><code>++soq</code></a>
1716<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#tar' title="Parse * (tar)"><code>++tar</code></a>
1717<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#tic' title="Parse ` (tic)"><code>++tic</code></a>
1718<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#tis' title="Parse = (tis)"><code>++tis</code></a>
1719<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#wut' title="Parse ? (wut)"><code>++wut</code></a>
1720<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#zap' title="Parse ! (zap)"><code>++zap</code></a>
1722### 4i: parsing (useful idioms)
1724<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#alf' title="Parse alphabetic characters"><code>++alf</code></a>
1725<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#aln' title="Parse alphanumeric characters"><code>++aln</code></a>
1726<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#alp' title="Parse alphanumeric characters and "><code>++alp</code></a>
1727<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#bet' title="Parse hep and lus axis syntax"><code>++bet</code></a>
1728<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#bin' title="Binary to atom"><code>++bin</code></a>
1729<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#but' title="Parse binary digit"><code>++but</code></a>
1730<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#cit' title="Octal digit"><code>++cit</code></a>
1731<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dem' title="Decimal to atom"><code>++dem</code></a>
1732<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dit' title="Decimal digit"><code>++dit</code></a>
1733<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dof' title="Hep & optional gap"><code>++dof</code></a>
1734<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dog' title="Optional gap"><code>++dog</code></a>
1735<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#doh' title="@p separator"><code>++doh</code></a>
1736<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dun' title=" to ~"><code>++dun</code></a>
1737<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#duz' title="== to ~"><code>++duz</code></a>
1738<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gah' title="New line or ''"><code>++gah</code></a>
1739<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gap' title="Plural whitespace"><code>++gap</code></a>
1740<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gaq' title="End of line"><code>++gaq</code></a>
1741<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gaw' title="Classic whitespace"><code>++gaw</code></a>
1742<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gay' title="Optional gap"><code>++gay</code></a>
1743<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gon' title="Parse long numbers"><code>++gon</code></a>
1744<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gul' title="Axis syntax < or >"><code>++gul</code></a>
1745<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#hex' title="Hexadecimal to atom"><code>++hex</code></a>
1746<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#hig' title="Parse single uppercase letter"><code>++hig</code></a>
1747<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#hit' title="Parse single hexadecimal digit"><code>++hit</code></a>
1748<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#iny' title="Indentation block"><code>++iny</code></a>
1749<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#low' title="Parse lowercase letter"><code>++low</code></a>
1750<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#mes' title="Parse hexabyte"><code>++mes</code></a>
1751<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#nix' title="Parse letters and underscore"><code>++nix</code></a>
1752<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#nud' title="Parse numeric character"><code>++nud</code></a>
1753<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#prn' title="Parse any printable character"><code>++prn</code></a>
1754<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#qat' title="Parse chars in blockcord"><code>++qat</code></a>
1755<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#qit' title="Parse character to cord atom"><code>++qit</code></a>
1756<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#qut' title="Parse cord"><code>++qut</code></a>
1757<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#soz' title="Parse triple singlequote"><code>++soz</code></a>
1758<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#sym' title="Term"><code>++sym</code></a>
1759<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#mixed-case-symbol' title="Mixed-case term"><code>++mixed-case-symbol</code></a>
1760<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#ven' title="Axis syntax parser"><code>++ven</code></a>
1761<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#vit' title="Parse base 64 digit"><code>++vit</code></a>
1762<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#vul' title="Comments to null"><code>++vul</code></a>
1764### 4j: parsing (bases and base digits)
1766<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ab' title="Primitive parser engine"><code>++ab</code></a>
1767<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bixab' title="Parse hex pair"><code>++bix:ab</code></a>
1768<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#femab' title="Parse base58check char"><code>++fem:ab</code></a>
1769<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hafab' title="Parse non-doz phonetic pair"><code>++haf:ab</code></a>
1770<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hefab' title="Parse non-dozzod phonetic pair"><code>++hef:ab</code></a>
1771<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hifab' title="Parse phonetic pair"><code>++hif:ab</code></a>
1772<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hofab' title="Parse 2-4 @q phonetic pair"><code>++hof:ab</code></a>
1773<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hufab' title="Parse 1-4 @q phonetic pairs"><code>++huf:ab</code></a>
1774<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hyfab' title="Parse four @q phonetic pairs"><code>++hyf:ab</code></a>
1775<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pevab' title="Parse 1-5 @uv base-32 chars"><code>++pev:ab</code></a>
1776<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pewab' title="Parse <= 5 in base 64"><code>++pew:ab</code></a>
1777<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pivab' title="Parse 5 @uv base-32 chars"><code>++piv:ab</code></a>
1778<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#piwab' title="Parse 5 @uw base-64 chars"><code>++piw:ab</code></a>
1779<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qebab' title="Parse 1-4 binary digits"><code>++qeb:ab</code></a>
1780<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qexab' title="Parse 1-4 hex digits"><code>++qex:ab</code></a>
1781<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qibab' title="Parse 4 binary digits"><code>++qib:ab</code></a>
1782<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qixab' title="Parse 4 hexadecimal digits"><code>++qix:ab</code></a>
1783<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sebab' title="Parse 1"><code>++seb:ab</code></a>
1784<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sedab' title="Parse nonzero decimal digit"><code>++sed:ab</code></a>
1785<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sevab' title="Parse nonzero base 32 digit"><code>++sev:ab</code></a>
1786<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sewab' title="Parse nonzero base 64 digit"><code>++sew:ab</code></a>
1787<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sexab' title="Parse nonzero hexadecimal digit"><code>++sex:ab</code></a>
1788<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sibab' title="Parse binary digit"><code>++sib:ab</code></a>
1789<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sidab' title="Parse decimal digit"><code>++sid:ab</code></a>
1790<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sivab' title="Parse a base 32 digit"><code>++siv:ab</code></a>
1791<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#siwab' title="Parse a base 64 digit"><code>++siw:ab</code></a>
1792<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sixab' title="Parse a hexadecimal digit"><code>++six:ab</code></a>
1793<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sovab' title="Parse @uv base-32 letter"><code>++sov:ab</code></a>
1794<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sowab' title="Parse @uw base-64 letter/symbol"><code>++sow:ab</code></a>
1795<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#soxab' title="Parse hexadecimal letter"><code>++sox:ab</code></a>
1796<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tedab' title="Parse 1-999 decimal"><code>++ted:ab</code></a>
1797<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tepab' title="Parse non-doz leading phonetic byte"><code>++tep:ab</code></a>
1798<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tidab' title="Parse 3 decimal digits"><code>++tid:ab</code></a>
1799<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tilab' title="Parse 3 lowercase letters"><code>++til:ab</code></a>
1800<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tipab' title="Leading phonetic byte"><code>++tip:ab</code></a>
1801<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tiqab' title="Trailing phonetic syllable"><code>++tiq:ab</code></a>
1802<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ursab' title="Parse knot characters"><code>++urs:ab</code></a>
1803<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#urtab' title="Parse knot without underscores"><code>++urt:ab</code></a>
1804<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#voyab' title="Parse bas, soq, or bix"><code>++voy:ab</code></a>
1806<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ag' title="Toplevel atom parser engine"><code>++ag</code></a>
1807<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#apeag' title="Parse 0 or rule"><code>++ape:ag</code></a>
1808<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bayag' title="Parses binary number"><code>++bay:ag</code></a>
1809<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bipag' title="Parse IPv6"><code>++bip:ag</code></a>
1810<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#demag' title="Parse decmal with dots"><code>++dem:ag</code></a>
1811<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dimag' title="Parse decimal number"><code>++dim:ag</code></a>
1812<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dumag' title="Parse decimal with leading zero"><code>++dum:ag</code></a>
1813<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#fedag' title="Parse @p"><code>++fed:ag</code></a>
1814<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#feqag' title="Parse @q phonetic base"><code>++feq:ag</code></a>
1815<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#fimag' title="Parse base58check"><code>++fim:ag</code></a>
1816<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hexag' title="Parse hexadecimal number"><code>++hex:ag</code></a>
1817<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#lipag' title="Parse IPv4 address"><code>++lip:ag</code></a>
1818<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#motag' title="Parse numerical month"><code>++mot:ag</code></a>
1819<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#vizag' title="Parse base 32 digit with dot separators"><code>++viz:ag</code></a>
1820<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#vumag' title="Parse base 32 string"><code>++vum:ag</code></a>
1821<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#wizag' title="Parse base 64 number"><code>++wiz:ag</code></a>
1823<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#mu' title="Core used to scramble 16bit atoms"><code>++mu</code></a>
1824<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zagmu' title="Add bottom into top"><code>++zag:mu</code></a>
1825<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zigmu' title="Subtract bottom from top"><code>++zig:mu</code></a>
1826<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zugmu' title="Concatenate into atom"><code>++zug:mu</code></a>
1828<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ne' title="Digit rendering engine"><code>++ne</code></a>
1829<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#cne' title="Render base58check"><code>++c:ne</code></a>
1830<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dne' title="Render decimal"><code>++d:ne</code></a>
1831<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#vne' title="Render base 32"><code>++v:ne</code></a>
1832<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#wne' title="Render base 64 digit"><code>++w:ne</code></a>
1833<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#xne' title="Render hexadecimal digit as atom of ASCII byte value"><code>++x:ne</code></a>
1835### 4k: parsing (atom printing)
1837<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#co' title="Literal rendering engine"><code>++co</code></a>
1838<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rearco' title="Prepend and render atom as tape"><code>++rear:co</code></a>
1839<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rendco' title="Render coin lot as tape"><code>++rend:co</code></a>
1840<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rentco' title="Render coin as knot"><code>++rent:co</code></a>
1841<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#a-coco' title="Render decimal"><code>++a-co:co</code></a>
1842<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#c-coco' title="Render base58check"><code>++c-co:co</code></a>
1843<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#d-coco' title="Render decimal with min length"><code>++d-co:co</code></a>
1844<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#r-coco' title="Render floating point"><code>++r-co:co</code></a>
1845<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#s-coco' title="Render hex list"><code>++s-co:co</code></a>
1846<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#v-coco' title="Render base-32 with minimum length"><code>++v-co:co</code></a>
1847<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#w-coco' title="Render base-64 with minimum length"><code>++w-co:co</code></a>
1848<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#x-coco' title="Render hex with minimum length"><code>++x-co:co</code></a>
1849<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#y-coco' title="Render decimal with at least two digits"><code>++y-co:co</code></a>
1850<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#z-coco' title="Render '0x'-prefixed hex"><code>++z-co:co</code></a>
1851<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#em-coco' title="Render in numeric base"><code>++em-co:co</code></a>
1852<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#ed-coco' title="Format with decimal place"><code>++ed-co:co</code></a>
1853<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#ox-coco' title="Format dot-separated digits in numeric base"><code>++ox-co:co</code></a>
1854<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#ro-coco' title="Format dot-prefixed bloqs in numeric base"><code>++ro-co:co</code></a>
1856### 4l: parsing (atom parsing)
1858<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#so' title="Coin parser engine"><code>++so</code></a>
1859<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#biskso' title="Parse auraatom pair"><code>++bisk:so</code></a>
1860<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#crubso' title="Parse @da, @dr, @p, @t"><code>++crub:so</code></a>
1861<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#nuckso' title="Toplevel coin parser"><code>++nuck:so</code></a>
1862<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#nuskso' title="Parse coin literal with escapes"><code>++nusk:so</code></a>
1863<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#perdso' title="Parsing coin literal without prefixes"><code>++perd:so</code></a>
1864<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#roylso' title="Parse dime float"><code>++royl:so</code></a>
1865<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-cellso' title="Convert rn to dn"><code>++royl-cell:so</code></a>
1866<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-rhso' title="Parse half-precision float"><code>++royl-rh:so</code></a>
1867<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-rqso' title="Parse quad-precision float"><code>++royl-rq:so</code></a>
1868<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-rdso' title="Parse double-precision float"><code>++royl-rd:so</code></a>
1869<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-rsso' title="Parse single-precision float"><code>++royl-rs:so</code></a>
1870<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-rnso' title="Parse real number"><code>++royl-rn:so</code></a>
1871<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#tashso' title="Parse signed dime"><code>++tash:so</code></a>
1872<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#twidso' title="Parse coins without ~ prefix"><code>++twid:so</code></a>
1873<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#whenso' title="Parse date"><code>++when:so</code></a>
1874<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#zustso' title="Parse dimes from @i, @f, @r or @q"><code>++zust:so</code></a>
1876### 4m: parsing (formatting functions)
1878<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#scot' title="Render dime as cord"><code>++scot</code></a>
1879<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#scow' title="Render dime as tape"><code>++scow</code></a>
1880<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#slat' title="Curried slaw"><code>++slat</code></a>
1881<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#slav' title="Demand: parse cord with input aura"><code>++slav</code></a>
1882<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#slaw' title="Parse cord to input aura"><code>++slaw</code></a>
1883<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#slay' title="Parse cord to coin"><code>++slay</code></a>
1884<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#smyt' title="Render path as tank"><code>++smyt</code></a>
1885<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#spat' title="Render path as cord"><code>++spat</code></a>
1886<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#spud' title="Render path as tape"><code>++spud</code></a>
1887<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#stab' title="Parse cord to path"><code>++stab</code></a>
1888<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#stap' title="Path parser"><code>++stap</code></a>
1890### 4n: parsing (virtualization)
1892<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mack' title="Nock subject to unit"><code>++mack</code></a>
1893<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mink' title="Mock (virtual Nock) interpreter"><code>++mink</code></a>
1894<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mock' title="Compute formula on subject with hint"><code>++mock</code></a>
1895<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mook' title="Intelligently render crash annotation"><code>++mook</code></a>
1896<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mole' title="Typed unitary virtual"><code>++mole</code></a>
1897<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mong' title="Slam gate with sample"><code>++mong</code></a>
1898<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mule' title="Typed virtual"><code>++mule</code></a>
1899<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mure' title="Untyped unitary virtual"><code>++mure</code></a>
1900<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mute' title="Untyped virtual"><code>++mute</code></a>
1901<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#slum' title="Slam a gate on a sample using raw nock, untyped"><code>++slum</code></a>
1902<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#soft' title="Virtual clam"><code>++soft</code></a>
1904### 4o: parsing (molds)
1906<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#abel' title="Original sin: type"><code>+$abel</code></a>
1907<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#alas' title="Alias list"><code>+$alas</code></a>
1908<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#atom' title="Just an atom"><code>+$atom</code></a>
1909<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#aura' title="'Type' of atom"><code>+$aura</code></a>
1910<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#base' title="Base type"><code>+$base</code></a>
1911<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#woof' title="Simple embed"><code>+$woof</code></a>
1912<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#chum' title="Jet hint information"><code>+$chum</code></a>
1913<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#coil' title="Tuple of core information"><code>+$coil</code></a>
1914<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#garb' title="Core metadata"><code>+$garb</code></a>
1915<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#poly' title="Polarity"><code>+$poly</code></a>
1916<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#foot' title="Cases of arms by variance model"><code>+$foot</code></a>
1917<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#link' title="Lexical segment"><code>+$link</code></a>
1918<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#crib' title="Summary and details"><code>+$crib</code></a>
1919<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#help' title="Documentation"><code>+$help</code></a>
1920<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#limb' title="Reference into subject by name/axis"><code>+$limb</code></a>
1921<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#null' title="Null, nil, etc"><code>+$null</code></a>
1922<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#onyx' title="Arm activation"><code>+$onyx</code></a>
1923<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#opal' title="Wing match"><code>+$opal</code></a>
1924<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#pica' title="Prose or code"><code>+$pica</code></a>
1925<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#palo' title="Wing trace, match"><code>+$palo</code></a>
1926<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#plat' title="%hoon, %type, %nock or %tank"><code>+$plat</code></a>
1927<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#pock' title="Changes"><code>+$pock</code></a>
1928<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#port' title="Successful wing match"><code>+$port</code></a>
1929<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#spec' title="Structure definition AST"><code>+$spec</code></a>
1930<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tent' title="Model builder"><code>+$tent</code></a>
1931<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tiki' title="Test case"><code>+$tiki</code></a>
1932<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#skin' title="Texture"><code>+$skin</code></a>
1933<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tome' title="Core chapter"><code>+$tome</code></a>
1934<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tope' title="Topographic type"><code>+$tope</code></a>
1935<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#hoot' title="Hoon tools"><code>++hoot</code></a>
1936<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#beerhoot' title="Simple embed"><code>+$beer:hoot</code></a>
1937<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#manehoot' title="XML name+space"><code>+$mane:hoot</code></a>
1938<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#manxhoot' title="Dynamic XML node"><code>+$manx:hoot</code></a>
1939<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#marlhoot' title="Dynamic XML nodes"><code>+$marl:hoot</code></a>
1940<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#marthoot' title="Dynamic XML attributes"><code>+$mart:hoot</code></a>
1941<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#marxhoot' title="Dynamic XML tag"><code>+$marx:hoot</code></a>
1942<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#marehoot' title="Node or nodes"><code>+$mare:hoot</code></a>
1943<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#maruhoot' title="Interpolation or nodes"><code>+$maru:hoot</code></a>
1944<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tunahoot' title="Maybe interpolation"><code>+$tuna:hoot</code></a>
1945<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#hoon' title="Hoon AST"><code>+$hoon</code></a>
1946<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tyre' title="List, term hoon"><code>+$tyre</code></a>
1947<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tyke' title="List of 'maybe' hoons"><code>+$tyke</code></a>
1948<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#nock' title="Virtual nock"><code>+$nock</code></a>
1949<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#note' title="Type annotation"><code>+$note</code></a>
1950<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#type' title="Hoon type type"><code>+$type</code></a>
1951<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tony' title="$tone done right"><code>+$tony</code></a>
1952<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tine' title="Partial noun"><code>+$tine</code></a>
1953<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tool' title="Type decoration"><code>+$tool</code></a>
1954<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tune' title="Complex"><code>+$tune</code></a>
1955<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#typo' title="Old type"><code>+$typo</code></a>
1956<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#vase' title="Type-value pair"><code>+$vase</code></a>
1957<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#vise' title="Old vase"><code>+$vise</code></a>
1958<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#vial' title="co/contra/in/bi"><code>+$vial</code></a>
1959<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#vair' title="Core variance"><code>+$vair</code></a>
1960<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#vein' title="Search trace"><code>+$vein</code></a>
1961<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#sect' title="Paragraph"><code>+$sect</code></a>
1962<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#whit' title="Documentation"><code>+$whit</code></a>
1963<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#what' title="Help slogan/section"><code>+$what</code></a>
1964<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#wing' title="Search path"><code>+$wing</code></a>
1965<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#block' title="Abstract identity of resource awaited"><code>+$block</code></a>
1966<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#result' title="Internal interpreter result"><code>+$result</code></a>
1967<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#thunk' title="Fragment constructor"><code>+$thunk</code></a>
1968<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#doss' title="Profiling"><code>+$doss</code></a>
1969<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#moan' title="Profiling: sample metric"><code>+$moan</code></a>
1970<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#hump' title="Profiling"><code>+$hump</code></a>
1972### 5a: compiler utilities
1974<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#musk' title="Nock with block set (compiler utility)"><code>++musk</code></a>
1975<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#bool' title="Make loobean (compiler utility)"><code>++bool</code></a>
1976<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#cell' title="Make %cell type (compiler utility)"><code>++cell</code></a>
1977<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#core' title="Make %core type (compiler utility)"><code>++core</code></a>
1978<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#hint' title="Make %hint type (compiler utility)"><code>++hint</code></a>
1979<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#face' title="Make %face type (compiler utility)"><code>++face</code></a>
1980<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#fork' title="Make %fork type (compiler utility)"><code>++fork</code></a>
1981<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#cove' title="Extract [0 *] axis (compiler utility)"><code>++cove</code></a>
1982<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#comb' title="Combine two formulas (compiler utility)"><code>++comb</code></a>
1983<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#cond' title="?: compile (compiler utility)"><code>++cond</code></a>
1984<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#cons' title="Make formula cell (compiler utility)"><code>++cons</code></a>
1985<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#fitz' title="Odor compatibility (compiler utility)"><code>++fitz</code></a>
1986<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#flan' title="Loobean & (compiler utility)"><code>++flan</code></a>
1987<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#flip' title="Loobean negation (compiler utility)"><code>++flip</code></a>
1988<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#flor' title="Loobean | (compiler utility)"><code>++flor</code></a>
1989<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#hike' title="Compiler utility"><code>++hike</code></a>
1990<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#jock' title="Compiler utility"><code>++jock</code></a>
1991<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#look' title="Compiler utility"><code>++look</code></a>
1992<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/#loot' title="Compiler utility"><code>++loot</code></a>
1994### 5b: macro expansion
1996<a class="tooltip" href='/docs/hoon/reference/stdlib/5b/#ah' title="Tiki engine"><code>++ah</code></a>
1997<a class="tooltip" href='/docs/hoon/reference/stdlib/5b/#ax' title="Spec engine"><code>++ax</code></a>
1998<a class="tooltip" href='/docs/hoon/reference/stdlib/5b/#ap' title="Hoon engine"><code>++ap</code></a>
2000### 5c: compiler backend and prettyprinter
2002<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#ut' title="Hoon compiler backend"><code>++ut</code></a>
2003<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#us' title="Pretty-printer backend"><code>++us</code></a>
2004<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#cain' title="Tank pretty-print"><code>++cain</code></a>
2005<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#noah' title="Tape pretty-print"><code>++noah</code></a>
2006<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#onan' title="Vise to vase"><code>++onan</code></a>
2007<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#levi' title="Type nests or crash"><code>++levi</code></a>
2008<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#text' title="Tape pretty-print"><code>++text</code></a>
2009<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#seem' title="Promote typo"><code>++seem</code></a>
2010<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#seer' title="Promote vise"><code>++seer</code></a>
2011<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#sell' title="Pretty-print vase to a tank"><code>++sell</code></a>
2012<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#skol' title="Pretty-print type to tank"><code>++skol</code></a>
2013<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slam' title="Slam a gate"><code>++slam</code></a>
2014<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slab' title="Test if contains"><code>++slab</code></a>
2015<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slap' title="Untyped vase .*"><code>++slap</code></a>
2016<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slog' title="Deify printf"><code>++slog</code></a>
2017<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#mean' title="Crash and printf"><code>++mean</code></a>
2018<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#road' title="Evaluate trap"><code>++road</code></a>
2019<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slew' title="Get axis in vase"><code>++slew</code></a>
2020<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slim' title="Identical to ++seer"><code>++slim</code></a>
2021<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slit' title="Type of slam"><code>++slit</code></a>
2022<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slob' title="Superficial arm"><code>++slob</code></a>
2023<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#sloe' title="Get arms in core"><code>++sloe</code></a>
2024<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slop' title="Cons two vases"><code>++slop</code></a>
2025<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slot' title="Got axis in vase"><code>++slot</code></a>
2026<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#slym' title="Slam without sample-type"><code>++slym</code></a>
2027<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#sped' title="Reconstruct type"><code>++sped</code></a>
2028<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/#swat' title="Deferred ++slap"><code>++swat</code></a>
2032<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#vang' title="Set ++vast parameters"><code>++vang</code></a>
2033<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#vast' title="Main parsing core"><code>++vast</code></a>
2034<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#vest' title="Parse hoon"><code>++vest</code></a>
2035<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#vice' title="Parse wide-form hoon"><code>++vice</code></a>
2036<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#make' title="Compile cord to nock"><code>++make</code></a>
2037<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#rain' title="Parse with % path"><code>++rain</code></a>
2038<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#ream' title="Parse cord to hoon"><code>++ream</code></a>
2039<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#reck' title="Parse hoon file"><code>++reck</code></a>
2040<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/#ride' title="End-to-end compiler"><code>++ride</code></a>
2042### 5e: Molds and mold builders
2044<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#mane' title="XML name+space"><code>++mane</code></a>
2045<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#manx' title="Dynamic XML node"><code>++manx</code></a>
2046<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#marl' title="XML node list"><code>++marl</code></a>
2047<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#mars' title="XML cdata"><code>++mars</code></a>
2048<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#mart' title="XML attributes"><code>++mart</code></a>
2049<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#marx' title="Dynamic XML tag"><code>++marx</code></a>
2050<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#mite' title="MIME type"><code>++mite</code></a>
2051<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#pass' title="Public key"><code>++pass</code></a>
2052<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#ring' title="Private key"><code>++ring</code></a>
2053<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#ship' title="Network identity"><code>++ship</code></a>
2054<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#shop' title="Urbit/DNS identity"><code>++shop</code></a>
2055<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#spur' title="ship desk case spur"><code>++spur</code></a>
2056<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/#time' title="Galactic time"><code>++time</code></a>
2058### 5f: Profiling support
2060<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#pi-heck' title="Profiling utility"><code>++pi-heck</code></a>
2061<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#pi-noon' title="Sample trace"><code>++pi-noon</code></a>
2062<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#pi-mope' title="Add sample"><code>++pi-mope</code></a>
2063<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#pi-moth' title="Count sample"><code>++pi-moth</code></a>
2064<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#pi-mumm' title="Print sample"><code>++pi-mumm</code></a>
2065<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#pi-tell' title="Produce dump"><code>++pi-tell</code></a>
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