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/#abs-fl' title="Absolute value"><code>++abs:fl</code></a>
19<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#abs-si' title="Absolute value (signed integer)"><code>++abs:si</code></a>
20<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#abel' title="Compiler alias"><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/1a/#add' title="Add"><code>++add</code></a>
23<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-ff' title="Add (floating point)"><code>++add:ff</code></a>
24<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-fl' title="Add (with exact/rounded flag)"><code>++add:fl</code></a>
25<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#add-ja' title="Prepend to list"><code>+-add:ja</code></a>
26<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-rd' title="Add (double-precision float)"><code>++add:rd</code></a>
27<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-rh' title="Add (half-precision float)"><code>++add:rh</code></a>
28<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-rs' title="Add (single-precision float)"><code>++add:rs</code></a>
29<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-rq' title="Add (quad-precision float)"><code>++add:rq</code></a>
30<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ag' title="Top-level atom parser engine"><code>++ag</code></a>
31<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#alf' title="Parse alphabetic characters"><code>++alf</code></a>
32<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#all-by' title="Logical AND (map and wet gate)"><code>+-all:by</code></a>
33<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#all-in' title="Logical AND (set and wet gate)"><code>+-all:in</code></a>
34<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#aln' title="Parse alphanumeric characters"><code>++aln</code></a>
35<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#alp' title="Parse alphanumeric characters and -"><code>++alp</code></a>
36<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#any-by' title="Logical OR (map and wet gate)"><code>+-any:by</code></a>
37<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#any-in' title="Logical OR (set and gate)"><code>+-any:in</code></a>
38<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#aor' title="Alphabetical order"><code>++aor</code></a>
39<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ape-ag' title="Parse 0 or rule"><code>++ape:ag</code></a>
40<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#apt-by' title="Check correctness (map)"><code>+-apt:by</code></a>
41<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#apt-in' title="Check correctness (set)"><code>+-apt:in</code></a>
42<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#at' title="(Undocumented)"><code>++at</code></a>
43<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#aura' title="'Type' of atom"><code>++aura</code></a>
44<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#axis' title="Nock axis"><code>++axis</code></a>
48<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#bal-to' title="Balance queue"><code>+-bal:to</code></a>
49<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#bar' title="Parse | (bar)"><code>++bar</code></a>
50<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#bas' title="Parse \ (bas)"><code>++bas</code></a>
51<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#base' title="Base type"><code>++base</code></a>
52<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#bass' title="Parser modifier (LSB-ordered ++list as atom of ++base)"><code>++bass</code></a>
53<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bay-ag' title="Parses binary number"><code>++bay:ag</code></a>
54<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#bean' title="Boolean"><code>++bean</code></a>
55<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#beer' title="Tape builder"><code>++beer</code></a>
56<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#beet' title="XML interpolation cases"><code>++beet</code></a>
57<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#bend' title="Conditional composer"><code>++bend</code></a>
58<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#bet' title="Parse hep and lus axis syntax"><code>++bet</code></a>
59<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#bex' title="Binary exponent"><code>++bex</code></a>
60<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bif-ff' title="Converts from fn to @r"><code>++bif:ff</code></a>
61<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#bif-by' title="Bifurcate map"><code>+-bif:by</code></a>
62<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#bif-in' title="Bifurcate set"><code>+-bif:in</code></a>
63<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#biff' title="Unit as argument"><code>++biff</code></a>
64<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#bin' title="Binary to atom"><code>++bin</code></a>
65<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#bind' title="Non-unit function to unit, producing unit"><code>++bind</code></a>
66<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bip-ag' title="Parse IPv6"><code>++bip:ag</code></a>
67<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-ff' title="fn to @r with rounding"><code>++bit:ff</code></a>
68<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-rd' title="fn to double-precision binary float"><code>++bit:rd</code></a>
69<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-rh' title="fn to half-precision float"><code>++bit:rh</code></a>
70<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-rs' title="fn to single-precision float"><code>++bit:rs</code></a>
71<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-rq' title="fn to quad-precision float"><code>++bit:rq</code></a>
72<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bix-ab' title="Parse hex pair"><code>++bix:ab</code></a>
73<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#bisk-so' title="Parse aura-atom pair"><code>++bisk:so</code></a>
74<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#bloq' title="Blocksize"><code>++bloq</code></a>
75<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#bond' title="Replace null"><code>++bond</code></a>
76<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#boss' title="Parser modifier: LSB"><code>++boss</code></a>
77<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#both' title="Group unit values into pair"><code>++both</code></a>
78<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#buc' title="Parse $ (buc)"><code>++buc</code></a>
79<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#but' title="Parse binary digit"><code>++but</code></a>
83<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#cab' title="Parse _ (cab)"><code>++cab</code></a>
84<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#can' title="Assemble"><code>++can</code></a>
85<a class="tooltip" href='/docs/hoon/reference/stdlib/1b/#cap' title="Tree head"><code>++cap</code></a>
86<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#cass' title="To lowercase"><code>++cass</code></a>
87<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#cat' title="Concatenate"><code>++cat</code></a>
88<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#cen' title="Parse % (cen)"><code>++cen</code></a>
89<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#cet-yo' title="Days in a century"><code>++cet:yo</code></a>
90<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#char' title="Character"><code>++char</code></a>
91<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#chum' title="Jet hint information"><code>++chum</code></a>
92<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#cit' title="Octal digit"><code>++cit</code></a>
93<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#clap' title="Apply function to two units"><code>++clap</code></a>
94<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#cmp-si' title="Compare (signed integer)"><code>++cmp:si</code></a>
95<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#co' title="Literal rendering engine"><code>++co</code></a>
96<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#coil' title="Tuple of core information"><code>++coil</code></a>
97<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#coin' title="Noun-literal syntax cases"><code>++coin</code></a>
98<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#col' title="Parse : (col)"><code>++col</code></a>
99<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#cold' title="Replace with constant"><code>++cold</code></a>
100<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#com' title="Parse , (com)"><code>++com</code></a>
101<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#comp' title="Arbitrary compose"><code>++comp</code></a>
102<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#con' title="Binary OR"><code>++con</code></a>
103<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#cook' title="Apply gate"><code>++cook</code></a>
104<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#cord' title="UTF-8 text"><code>++cord</code></a>
105<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#cork' title="Compose forward"><code>++cork</code></a>
106<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#corl' title="Compose backward"><code>++corl</code></a>
107<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#crip' title="Tape to cord"><code>++crip</code></a>
108<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#crub-so' title="Parse @da, @dr, @p, @t"><code>++crub:so</code></a>
109<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#cue' title="Unpack atom to noun"><code>++cue</code></a>
110<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#curr' title="Right-curry a gate"><code>++curr</code></a>
111<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#cury' title="Curry left a gate"><code>++cury</code></a>
112<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#cuss' title="To uppercase"><code>++cuss</code></a>
113<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#cut' title="Slice"><code>++cut</code></a>
117<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#d-ne' title="Render decimal"><code>++d:ne</code></a>
118<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#date' title="Point in time"><code>++date</code></a>
119<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#day-yo' title="Seconds in day"><code>++day:yo</code></a>
120<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#dec' title="Decrement"><code>++dec</code></a>
121<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#def-by' title="Difference (map)"><code>+-def:by</code></a>
122<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#del-by' title="Delete (map)"><code>+-del:by</code></a>
123<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#del-in' title="Delete (set)"><code>+-del:in</code></a>
124<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#del-ju' title="Delete (jug)"><code>+-del:ju</code></a>
125<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dem' title="Decimal to atom"><code>++dem</code></a>
126<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dem-ag' title="Parse decmal with dots"><code>++dem:ag</code></a>
127<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#den-fl' title="Denormalizes (floating point)"><code>++den:fl</code></a>
128<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#dep-by' title="Difference as patch (map)"><code>+-dep:by</code></a>
129<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#dep-to' title="Maximum depth (queue)"><code>+-dep:to</code></a>
130<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#dif-fe' title="Difference between atoms (modular basis)"><code>++dif:fe</code></a>
131<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#dif-fo' title='Subtraction (modular base)'><code>++dif:fo</code></a>
132<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#dif-in' title='Difference (set)'><code>+-dif:in</code></a>
133<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#dif-si' title="Subtraction (signed integer)"><code>++dif:si</code></a>
134<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#dig-by' title="Address of key (map)"><code>+-dig:by</code></a>
135<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#dig-in' title="Address of a in set"><code>+-dig:in</code></a>
136<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dim-ag' title="Parse decimal number"><code>++dim:ag</code></a>
137<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#dime' title="Aura-atom pair"><code>++dime</code></a>
138<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#din-re' title="(Undocumented)"><code>++din:re</code></a>
139<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#dis' title="Binary AND (atoms)"><code>++dis</code></a>
140<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dit' title="Decimal digit"><code>++dit</code></a>
141<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#div' title="Divide"><code>++div</code></a>
142<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-ff' title="Divide (IEEE float)"><code>++div:ff</code></a>
143<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-fl' title="Divide (signed and unsigned integer cell)"><code>++div:fl</code></a>
144<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-rd' title="Double precision float"><code>++div:rd</code></a>
145<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-rh' title="Divide (half-precision float)"><code>++div:rh</code></a>
146<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-rs' title="Divide (single-precision float)"><code>++div:rs</code></a>
147<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-rq' title="Divide (quad-precision float)"><code>++div:rq</code></a>
148<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dog' title="Optional gap"><code>++dog</code></a>
149<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#doh' title="@p separator"><code>++doh</code></a>
150<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#doq' title="Parse double quote"><code>++doq</code></a>
151<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#dor' title="Numeric order"><code>++dor</code></a>
152<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#dot' title="Parse period"><code>++dot</code></a>
153<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-ff' title="@r to decimal float"><code>++drg:ff</code></a>
154<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-fl' title="Get printable decimal (signed and unsigned integer cell)"><code>++drg:fl</code></a>
155<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-rd' title="@rd to decimal float"><code>++drg:rd</code></a>
156<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-rh' title="@rh to decimal float"><code>++drg:rh</code></a>
157<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-rs' title="@rs to decimal float"><code>++drg:rs</code></a>
158<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-rq' title="@rq to decimal float"><code>++drg:rq</code></a>
159<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#drop' title="Unit to list"><code>++drop</code></a>
160<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#dul-si' title="Modulus (signed integer)"><code>++dul:si</code></a>
161<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dum-ag' title="Parse decimal with leading zero"><code>++dum:ag</code></a>
162<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dun' title="-- to ~"><code>++dun</code></a>
163<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#duz' title="== to ~"><code>++duz</code></a>
164<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#dvr' title="Divide (with remainder)"><code>++dvr</code></a>
168<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ead-fl' title="Exact add"><code>++ead:fl</code></a>
169<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#each' title="Mold of fork between two types"><code>++each</code></a>
170<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#easy' title="Always parse"><code>++easy</code></a>
171<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#edge' title="Parsing location metadata"><code>++edge</code></a>
172<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#egcd' title="Extended Euclidean algorithm"><code>++egcd</code></a>
173<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emn-fl' title="Minimum exponent"><code>++emn:fl</code></a>
174<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emu-fl' title="Exact multiply"><code>++emu:fl</code></a>
175<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emx-fl' title="Maximum exponent"><code>++emx:fl</code></a>
176<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#end' title="Tail"><code>++end</code></a>
177<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-ff' title="Equals (IEEE float)"><code>++equ:ff</code></a>
178<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-fl' title="Equals (signed and unsigned integer cell)"><code>++equ:fl</code></a>
179<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-rd' title="Equals (double-precision float)"><code>++equ:rd</code></a>
180<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-rh' title="Equals (half-precision float)"><code>++equ:rh</code></a>
181<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-rs' title="Equals (single-precision float)"><code>++equ:rs</code></a>
182<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-rq' title="Equals (quad-precision float)"><code>++equ:rq</code></a>
183<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#era-yo' title="Leap-year period"><code>++era:yo</code></a>
184<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-ff' title="Get exponent (IEEE float)"><code>++exp:ff</code></a>
185<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#exp-fo' title="Exponent (modular base)"><code>++exp:fo</code></a>
186<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-rd' title="Exponent (@rd)"><code>++exp:rd</code></a>
187<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-rh' title="Exponent (half-precision float)"><code>++exp:rh</code></a>
188<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-rs' title="Exponent (@rs)"><code>++exp:rs</code></a>
189<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-rq' title="Exponent (quad-precision float)"><code>++exp:rq</code></a>
193<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#fail' title="Never parse"><code>++fail</code></a>
194<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#fall' title="Give unit a default value"><code>++fall</code></a>
195<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#fand' title="All indices in list"><code>++fand</code></a>
196<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#fas' title="Parse / (fas)"><code>++fas</code></a>
197<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#fe' title="Modulo bloq"><code>++fe</code></a>
198<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#fed-ag' title="Parse @p"><code>++fed:ag</code></a>
199<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#feen-ob' title="Conceal structure v2"><code>++feen:ob</code></a>
200<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#fend-ob' title="Restore structure v2"><code>++fend:ob</code></a>
201<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#fice-ob' title="Feistel-like cipher"><code>++fice:ob</code></a>
202<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#fil' title="Fill bloqstream"><code>++fil</code></a>
203<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#find' title="First index in list"><code>++find</code></a>
204<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#fit-re' title="Fit on one line test"><code>++fit:re</code></a>
205<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fli-fl' title="Flip sign"><code>++fli:fl</code></a>
206<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#flop' title="Reverse list"><code>++flop</code></a>
207<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-ff' title="Fused multiply-add (IEEE float)"><code>++fma:ff</code></a>
208<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-fl' title="Fused multiply-add"><code>++fma:fl</code></a>
209<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-rd' title="Fused multiply-add (@rd)"><code>++fma:rd</code></a>
210<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-rh' title="Fused multiply-add (half-precision float)"><code>++fma:rh</code></a>
211<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-rs' title="Fused multiply-add (single-precision float)"><code>++fma:rs</code></a>
212<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-rq' title="Fused multiply-add (quad-precision float)"><code>++fma:rq</code></a>
213<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#fnv' title="FNV scrambler"><code>++fnv</code></a>
214<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#fo' title="Modulo prime"><code>++fo</code></a>
215<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#foot' title="Cases of arms by variance model"><code>++foot</code></a>
216<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fos-rh' title="@rs to @rh"><code>++fos:rh</code></a>
217<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#fra-fo' title="Divide (modular base)"><code>++fra:fo</code></a>
218<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#fra-si' title="Divide (signed integer)"><code>++fra:si</code></a>
219<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#full' title="Parse to end"><code>++full</code></a>
220<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#funk' title="Add to tape"><code>++funk</code></a>
224<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gah' title="New line or ''"><code>++gah</code></a>
225<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#gal' title="Parse < (gal)"><code>++gal</code></a>
226<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gap' title="Plural whitespace"><code>++gap</code></a>
227<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gaq' title="End of line"><code>++gaq</code></a>
228<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#gar' title="Parse > (gar)"><code>++gar</code></a>
229<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#gas-by' title="Concatenate (map)"><code>+-gas:by</code></a>
230<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#gas-in' title="Concatenate (set)"><code>+-gas:in</code></a>
231<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#gas-to' title="Push list into queue"><code>+-gas:to</code></a>
232<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#gate' title="Function"><code>++gate</code></a>
233<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gaw' title="Classic whitespace"><code>++gaw</code></a>
234<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gay' title="Optional gap"><code>++gay</code></a>
235<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#get-by' title="Grab unit value"><code>+-get:by</code></a>
236<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#get-ja' title="Grab value by key"><code>+-get:ja</code></a>
237<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#get-ju' title="Retrieve set"><code>+-get:ju</code></a>
238<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#get-to' title="Head-tail pair"><code>+-get:to</code></a>
239<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#glue' title="Skip delimiter"><code>++glue</code></a>
240<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gon' title="Parse long numbers"><code>++gon</code></a>
241<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#gor' title="Hash order"><code>++gor</code></a>
242<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#got-by' title="Assert for value (map)"><code>+-got:by</code></a>
243<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-ff' title="Decimal float to @r"><code>++grd:ff</code></a>
244<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-fl' title="Decimal to float"><code>++grd:fl</code></a>
245<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-rd' title="Decimal float to @rd"><code>++grd:rd</code></a>
246<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-rh' title="Decimal float to @rh"><code>++grd:rh</code></a>
247<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-rs' title="Decimal float to @rs"><code>++grd:rs</code></a>
248<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-rq' title="Decimal float to @rq"><code>++grd:rq</code></a>
249<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#gte' title="Greater than / equal"><code>++gte</code></a>
250<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-ff' title="Greater than / equal (IEEE float)"><code>++gte:ff</code></a>
251<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-fl' title="Greater than / equal (producing flag)"><code>++gte:fl</code></a>
252<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-rd' title="Greater than / equal (double-precision float)"><code>++gte:rd</code></a>
253<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-rh' title="Greater than / equal (half-precision float)"><code>++gte:rh</code></a>
254<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-rs' title="Greater than / equal (single-precision float)"><code>++gte:rs</code></a>
255<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-rq' title="Greater than / equal (quad-precision float)"><code>++gte:rq</code></a>
256<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#gth' title="Greater than"><code>++gth</code></a>
257<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-ff' title="Greater than (IEEE float)"><code>++gth:ff</code></a>
258<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-fl' title="Greater than (producing flag)"><code>++gth:fl</code></a>
259<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-rd' title="Greater than (double-precision float)"><code>++gth:rd</code></a>
260<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-rh' title="Greater than (half-precision float)"><code>++gth:rh</code></a>
261<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-rs' title="Greater than (single-precision float)"><code>++gth:rs</code></a>
262<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-rq' title="Greater than (quad-precision float)"><code>++gth:rq</code></a>
263<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gul' title="Axis syntax < or >"><code>++gul</code></a>
264<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#gulf' title="List from range"><code>++gulf</code></a>
265<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#gut-by' title="Grab value with defualt"><code>+-gut:by</code></a>
269<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#hair' title="Parsing line and column"><code>++hair</code></a>
270<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#hard' title="Force remold"><code>++hard</code></a>
271<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#has-by' title="Key existence check (map)"><code>+-has:by</code></a>
272<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#has-in' title="Key existence check (set)"><code>+-has:in</code></a>
273<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#has-ju' title="Check contents (jug)"><code>+-has:ju</code></a>
274<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#hax' title="Parse # (hax)"><code>++hax</code></a>
275<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#head' title="Get head of cell"><code>++head</code></a>
276<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#here' title="Place-based apply"><code>++here</code></a>
277<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#hep' title="Parse - (hep)"><code>++hep</code></a>
278<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#hex' title="Hexadecimal to atom"><code>++hex</code></a>
279<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hex-ag' title="Parse hexadecimal number"><code>++hex:ag</code></a>
280<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hif-ab' title="Parse phonetic pair"><code>++hif:ab</code></a>
281<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#hig' title="Parse single uppercase letter"><code>++hig</code></a>
282<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#hit' title="Parse single hexadecimal digit"><code>++hit</code></a>
283<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#homo' title="Homogenize list"><code>++homo</code></a>
284<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#hor' title="Horizontal hash order"><code>++hor</code></a>
285<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#hor-yo' title="Seconds in hour"><code>++hor:yo</code></a>
286<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#huf-ab' title="Parse two phonetic pairs"><code>++huf:ab</code></a>
287<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hyf-ab' title="Parse 8 phonetic bytes"><code>++hyf:ab</code></a>
291<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ibl-fl' title="Integer binary logarithm"><code>++ibl:fl</code></a>
292<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#ifix' title="Infix"><code>++ifix</code></a>
293<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#ind-po' title="Parse suffix"><code>++ind:po</code></a>
294<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#ins-po' title="Parse prefix"><code>++ins:po</code></a>
295<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#int-by' title="Intersection (map)"><code>+-int:by</code></a>
296<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#int-in' title="Intersection (set)"><code>+-int:in</code></a>
297<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#inv-fe' title="Inverse order of modular field"><code>++inv:fe</code></a>
298<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#inv-fl' title="Inverse"><code>++inv:fl</code></a>
299<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#inv-fo' title="Inverse (signed modulus)"><code>++inv:fo</code></a>
300<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#iny' title="Indentation block"><code>++iny</code></a>
304<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#ja' title="Jar engine"><code>++ja</code></a>
305<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#jam' title="Pack noun to atom"><code>++jam</code></a>
306<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#jar' title="Mold generator (jar)"><code>++jar</code></a>
307<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#jes-yo' title="Maximum 64-bit timestamp"><code>++jes:yo</code></a>
308<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#jest' title="Match a cord"><code>++jest</code></a>
309<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#join' title="Add separator between list elements"><code>++join</code></a>
310<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#ju' title="Jug operations"><code>++ju</code></a>
311<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#jug' title="Mold generator (jug)"><code>++jug</code></a>
312<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#just' title="Match a single character"><code>++just</code></a>
316<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#kel' title="Parse { (kel)"><code>++kel</code></a>
317<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ker' title="Parse } (ker)"><code>++ker</code></a>
318<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ket' title="Parse ^ (ket)"><code>++ket</code></a>
319<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#knee' title="Recursive parsers"><code>++knee</code></a>
320<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#knot' title="Atom type of ASCII characters"><code>++knot</code></a>
324<a class="tooltip" href='/docs/hoon/reference/stdlib/4d/#last' title="Further trace"><code>++last</code></a>
325<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#le-nl' title="Construct list from null-terminated noun"><code>++le:nl</code></a>
326<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#lent' title="List length"><code>++lent</code></a>
327<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#levy' title="Logical AND on list"><code>++levy</code></a>
328<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lfe-fl' title="Maximum"><code>++lfe:fl</code></a>
329<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lfn-fl' title="Largest normal float"><code>++lfn:fl</code></a>
330<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#lien' title="Logical OR on list"><code>++lien</code></a>
331<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#lift' title="Curried bind"><code>++lift</code></a>
332<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#like' title="Generic edge"><code>++like</code></a>
333<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#limb' title="Reference into subject by name/axis"><code>++limb</code></a>
334<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#limo' title="Construct list from null-terminated tuple"><code>++limo</code></a>
335<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#line' title="(Undocumented)"><code>++line</code></a>
336<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#lip-ag' title="Parse IPv4 address"><code>++lip:ag</code></a>
337<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#list' title="Mold constructor (list)"><code>++list</code></a>
338<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#lone' title="Mold generator (face on mold)"><code>++lone</code></a>
339<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#lor' title="Leg order"><code>++lor</code></a>
340<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#low' title="Parse lowercase letter"><code>++low</code></a>
341<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#lsh' title="Left-shift"><code>++lsh</code></a>
342<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#lte' title="Less than / equal (atom)"><code>++lte</code></a>
343<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-ff' title="Less than / equal (IEEE float)"><code>++lte:ff</code></a>
344<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-fl' title="Less than / equal (producing flag)"><code>++lte:fl</code></a>
345<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-rd' title="Less than / equal (double-precision float)"><code>++lte:rd</code></a>
346<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-rh' title="Less than / equal (half-precision float)"><code>++lte:rh</code></a>
347<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-rs' title="Less than / equal (single-precision float)"><code>++lte:rs</code></a>
348<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-rq' title="Less than / equal (quad-precision float)"><code>++lte:rq</code></a>
349<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#lth' title="Less than (atom)"><code>++lth</code></a>
350<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-ff' title="Less than (IEEE float)"><code>++lth:ff</code></a>
351<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-fl' title="Less than (signed and unsigned integer cell)"><code>++lth:fl</code></a>
352<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-rd' title="Less than (double-precision float)"><code>++lth:rd</code></a>
353<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-rh' title="Less than (half-precision float)"><code>++lth:rh</code></a>
354<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-rs' title="Less than (single-precision float)"><code>++lth:rs</code></a>
355<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-rq' title="Less than (quad-precision float)"><code>++lth:rq</code></a>
356<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lug-fl' title="Central rounding mechanism"><code>++lug:fl</code></a>
357<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#lus' title="Parse + (lus)"><code>++lus</code></a>
358<a class="tooltip" href='/docs/hoon/reference/stdlib/4d/#lust' title="Detect new line"><code>++lust</code></a>
359<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#less' title="Parse unless"><code>++less</code></a>
360<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#ly' title="List from raw noun"><code>++ly</code></a>
364<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ma-rd' title="Initialize ff (rd core)"><code>++ma:rd</code></a>
365<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ma-rh' title="Initialize ff (rh core)"><code>++ma:rh</code></a>
366<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ma-rs' title="Initialize ff (rs core)"><code>++ma:rs</code></a>
367<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ma-rq' title="Initialize ff (rq core)"><code>++ma:rq</code></a>
368<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mack' title="Nock subject to unit"><code>++mack</code></a>
369<a class="tooltip" href='/docs/hoon/reference/stdlib/2l/#malt' title="Map from list"><code>++malt</code></a>
370<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#map' title="Mold generator (map)"><code>++map</code></a>
371<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#mar-by' title="Assert and add (map)"><code>+-mar:by</code></a>
372<a class="tooltip" href='/docs/hoon/reference/stdlib/1b/#mas' title="Address within head/tail"><code>++mas</code></a>
373<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#mask' title="Match character"><code>++mask</code></a>
374<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#mat' title="Length-encode"><code>++mat</code></a>
375<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#mate' title="Choose"><code>++mate</code></a>
376<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#max' title="Maximum"><code>++max</code></a>
377<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#me-ff' title="Minimum exponent of ff"><code>++me:ff</code></a>
378<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#mean' title="Crash and printf"><code>++mean</code></a>
379<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#mes' title="Parse hexabyte"><code>++mes</code></a>
380<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#mesc' title="Escape special characters"><code>++mesc</code></a>
381<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#met' title="Measure"><code>++met</code></a>
382<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#metl' title="(Undocumented)"><code>++metl</code></a>
383<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#min' title="Minimum (atom)"><code>++min</code></a>
384<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mink' title="Mock (virtual Nock) interpreter"><code>++mink</code></a>
385<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#mit-yo' title="Seconds in minute"><code>++mit:yo</code></a>
386<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#mix' title="Binary XOR (atom)"><code>++mix</code></a>
387<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mock' title="Compute formula on subject with hint"><code>++mock</code></a>
388<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#mod' title="Modulus (atom)"><code>++mod</code></a>
389<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#moh-yo' title="Days in month"><code>++moh:yo</code></a>
390<a class="tooltip" href='/docs/hoon/reference/stdlib/2l/#molt' title="Map from pair list"><code>++molt</code></a>
391<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mong' title="Slam gate with sample"><code>++mong</code></a>
392<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mook' title="Intelligently render crash annotation"><code>++mook</code></a>
393<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#more' title="Parse list with delimiter"><code>++more</code></a>
394<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#most' title="Parse list of at least one match"><code>++most</code></a>
395<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#moy-yo' title="Days in months of leap-year"><code>++moy:yo</code></a>
396<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#mu' title="Core used to scramble 16-bit atoms"><code>++mu</code></a>
397<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#mug' title="FNV-1a scrambler"><code>++mug</code></a>
398<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#muk' title="Standard MurmurHash3"><code>++muk</code></a>
399<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#mul' title="Multiply (atom)"><code>++mul</code></a>
400<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-ff' title="Multiply (IEEE float)"><code>++mul:ff</code></a>
401<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-fl' title="Multiply (signed and unsigned integer cell)"><code>++mul:fl</code></a>
402<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-rd' title="Multiply (double-precision float)"><code>++mul:rd</code></a>
403<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-rh' title="Multiply (quad-precision float)"><code>++mul:rh</code></a>
404<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-rs' title="Multiply (single-precision float)"><code>++mul:rs</code></a>
405<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-rq' title="Multiply (quad-precision float)"><code>++mul:rq</code></a>
406<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mule' title="Typed virtual"><code>++mule</code></a>
407<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mute' title="Untyped virtual"><code>++mute</code></a>
408<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#mum' title="31-bit MurmurHash3 scrambler"><code>++mum</code></a>
409<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#murn' title="Maybe transform"><code>++murn</code></a>
410<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#my' title="Map from raw noun"><code>++my</code></a>
411<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#my-nl' title="Construct map from null-terminated noun"><code>++my:nl</code></a>
415<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#nail' title="Location, remainder of parsed text"><code>++nail</code></a>
416<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#nap-to' title="Remove head of queue"><code>+-nap:to</code></a>
417<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ne' title="Digit rendering engine"><code>++ne</code></a>
418<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ned-fl' title="Require float"><code>++ned:fl</code></a>
419<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#need' title="Unwrap unit"><code>++need</code></a>
420<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#net-fe' title="Flip endianness"><code>++net:fe</code></a>
421<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#new-si' title="Atom to @s"><code>++new:si</code></a>
422<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#next' title="Consume character"><code>++next</code></a>
423<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#nip-to' title="Remove root of queue"><code>+-nip:to</code></a>
424<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#nix' title="Parse letters and -"><code>++nix</code></a>
425<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#nl' title="Noun to container operations"><code>++nl</code></a>
426<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#nock' title="Virtual machine (see Nock)"><code>++nock</code></a>
427<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#not' title="Binary NOT (atom)"><code>++not</code></a>
428<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#noun' title="(Undocumented)"><code>++noun</code></a>
429<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#nuck-so' title="Top-level coin parser"><code>++nuck:so</code></a>
430<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#nud' title="Parse numeric character"><code>++nud</code></a>
431<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#null' title="(Undocumented)"><code>++null</code></a>
432<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#nusk-so' title="Parse coin literal with escapes"><code>++nusk:so</code></a>
436<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#ob' title="Reversible scrambling v2"><code>++ob</code></a>
437<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#og' title="Container arm for SHA-256 powered RNG"><code>++og</code></a>
438<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#old-si' title="Sign and absolute value"><code>++old:si</code></a>
439<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#oust' title="Remove from list"><code>++oust</code></a>
440<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#out-fe' title="Maximum integer value"><code>++out:fe</code></a>
444<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#pa-ff' title="Initialize fl from ff core"><code>++pa:ff</code></a>
445<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#pair' title="Mold of pair of types"><code>++pair</code></a>
446<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#pam' title="Parse & (pam)"><code>++pam</code></a>
447<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#pat' title="Parse @ (pat)"><code>++pat</code></a>
448<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#path' title="Filesystem path"><code>++path</code></a>
449<a class="tooltip" href='/docs/hoon/reference/stdlib/1b/#peg' title="Address within address"><code>++peg</code></a>
450<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#pel' title="Parse ( (pel)"><code>++pel</code></a>
451<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#per' title="Parse ) (per)"><code>++per</code></a>
452<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#perd-so' title="Parses dime/tiple without standard prefixes"><code>++perd:so</code></a>
453<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pev-ab' title="Parse <=5 in base 32"><code>++pev:ab</code></a>
454<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pew-ab' title="Parse <= 5 in base 64"><code>++pew:ab</code></a>
455<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#pfix' title="Discard first rule"><code>++pfix</code></a>
456<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#pint' title="Parsing range"><code>++pint</code></a>
457<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#piv-ab' title="Parse 5 digits in base 32"><code>++piv:ab</code></a>
458<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#piw-ab' title="Parse 5 digits in base 64"><code>++piw:ab</code></a>
459<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#plug' title="Parse to tuple"><code>++plug</code></a>
460<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#plus' title="List of at least one match"><code>++plus</code></a>
461<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#po' title="Phonetic base"><code>++po</code></a>
462<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#pole' title="Mold generator of faceless list"><code>++pole</code></a>
463<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#port' title="(Undocumented)"><code>++port</code></a>
464<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#pose' title="Parse options"><code>++pose</code></a>
465<a class="tooltip" href='/docs/hoon/reference/stdlib/2g/#pow' title="Computes a to the power of b"><code>++pow</code></a>
466<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#prc-fl' title="Force precision of 2 or greater (floating point)"><code>++prc:fl</code></a>
467<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#prn' title="Parse any printable character"><code>++prn</code></a>
468<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#pro-fo' title="Multiplies b and c modulo a"><code>++pro:fo</code></a>
469<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#pro-si' title="Multiply to signed integer"><code>++pro:si</code></a>
470<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#put-by' title="Add key-value pair (map)"><code>+-put:by</code></a>
471<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#put-in' title="Put b in a (set)"><code>+-put:in</code></a>
472<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#put-ju' title="Add key-set pair (jar)"><code>+-put:ju</code></a>
473<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#put-to' title="Insert into queue"><code>+-put:to</code></a>
477<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#qad-yo' title="Seconds in 4 years"><code>++qad:yo</code></a>
478<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qeb-ab' title="Parse <=4 binary digits"><code>++qeb:ab</code></a>
479<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#qeu' title="Mold generator (queue)"><code>++qeu</code></a>
480<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qex-ab' title="Parse <=4 hexadecimal digits"><code>++qex:ab</code></a>
481<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qib-ab' title="Parse 4 binary digits"><code>++qib:ab</code></a>
482<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#qit' title="Parse character to cord atom"><code>++qit</code></a>
483<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qix-ab' title="Parse 4 hexadecimal digits"><code>++qix:ab</code></a>
484<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#quip' title="Mold generator (tuple of list and type)"><code>++quip</code></a>
485<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#qut' title="Parse cord"><code>++qut</code></a>
489<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#r-at' title="(Undocumented)"><code>++r:at</code></a>
490<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#rad-og' title="Random in range"><code>++rad:og</code></a>
491<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#rads-og' title="Random continuation"><code>++rads:og</code></a>
492<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#raku-ob' title="Key list"><code>++raku:ob</code></a>
493<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#ram-re' title="Flatten tank to tape"><code>++ram:re</code></a>
494<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rap' title="Assemble non-zero"><code>++rap</code></a>
495<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rash' title="Parse or crash"><code>++rash</code></a>
496<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rau-fl' title="Various roundings (floating point)"><code>++rau:fl</code></a>
497<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#raw-og' title="Random bits"><code>++raw:og</code></a>
498<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#raws-og' title="Random bits continuation"><code>++raws:og</code></a>
499<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#re' title="Pretty-printing engine (tank)"><code>++re</code></a>
500<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rear-co' title="Prepend and render atom as tape"><code>++rear:co</code></a>
501<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#reap' title="Replicate (list)"><code>++reap</code></a>
502<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#reel' title="Right fold (list)"><code>++reel</code></a>
503<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#rem-si' title="Remainder (signed integer)"><code>++rem:si</code></a>
504<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rend-co' title="Render coin lot as tape"><code>++rend:co</code></a>
505<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rent-co' title="Render coin lot as span"><code>++rent:co</code></a>
506<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rep' title="Assemble single"><code>++rep</code></a>
507<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#rep-by' title="Replace by product (map)"><code>+-rep:by</code></a>
508<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#rep-in' title="Accumulate elements (set)"><code>+-rep:in</code></a>
509<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rf-at' title="(Undocumented)"><code>++rf:at</code></a>
510<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#rib-by' title="Replace values with accumulator (map)"><code>+-rib:by</code></a>
511<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#rig-re' title="Wrap tape in / (tank)"><code>++rig:re</code></a>
512<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rip' title="Disassemble"><code>++rip</code></a>
513<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rn-at' title="(Undocumented)"><code>++rn:at</code></a>
514<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rol-fe' title="Roll left"><code>++rol:fe</code></a>
515<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#roll' title="Left fold (list)"><code>++roll</code></a>
517<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#ror-fe' title="Roll right"><code>++ror:fe</code></a>
518<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rou-fl' title="Round to nearest float with 113-bit significand"><code>++rou:fl</code></a>
519<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-so' title="Parse dime float"><code>++royl:so</code></a>
520<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-cell-so' title="(Undocumented)"><code>++royl-cell:so</code></a>
521<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rsh' title="Right-shift"><code>++rsh</code></a>
522<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rt-at' title="(Undocumented)"><code>++rt:at</code></a>
523<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rta-at' title="(Undocumented)"><code>++rta:at</code></a>
524<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rtam-at' title="(Undocumented)"><code>++rtam:at</code></a>
525<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#rub' title="Length-decode"><code>++rub</code></a>
526<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rub-at' title="(Undocumented)"><code>++rub:at</code></a>
527<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rud-at' title="(Undocumented)"><code>++rud:at</code></a>
528<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#rule' title="Parsing rule (match this with _)"><code>++rule</code></a>
529<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rum-at' title="(Undocumented)"><code>++rum:at</code></a>
530<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#run-by' title="Transform values (map)"><code>+-run:by</code></a>
531<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#run-in' title="Apply gate to set"><code>+-run:in</code></a>
532<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#rund-ob' title="Reverse single Feistel-like"><code>++rund:ob</code></a>
533<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#runt' title="Prepend n times"><code>++runt</code></a>
534<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rup-at' title="(Undocumented)"><code>++rup:at</code></a>
535<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rush' title="Parse or null"><code>++rush</code></a>
536<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rust' title="Parse tape or null"><code>++rust</code></a>
537<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#rut-by' title="Transform nodes (map)"><code>+-rut:by</code></a>
538<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#ruv-at' title="(Undocumented)"><code>++ruv:at</code></a>
539<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rux-at' title="(Undocumented)"><code>++rux:at</code></a>
540<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#rynd-ob' title="Reverse Feistel-like cipher"><code>++rynd:ob</code></a>
544<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#same' title="Identity (produces same value)"><code>++same</code></a>
545<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-ff' title="Signed integer to @r"><code>++san:ff</code></a>
546<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-fl' title="Signed integer to float"><code>++san:fl</code></a>
547<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-rd' title="Unsigned integer to @rd"><code>++san:rd</code></a>
548<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-rh' title="Signed integer to @rh"><code>++san:rh</code></a>
549<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-rs' title="Signed integer to @rs"><code>++san:rs</code></a>
550<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-rq' title="Signed integer to @rq"><code>++san:rq</code></a>
551<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#sand' title="Soft-cast by aura"><code>++sand</code></a>
552<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#sane' title="Check aura validity"><code>++sane</code></a>
553<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sb-ff' title="Sign bit"><code>++sb:ff</code></a>
554<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#scag' title="Prefix (produce front of list)"><code>++scag</code></a>
555<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#scan' title="Parse tape or crash"><code>++scan</code></a>
556<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#scot' title="Render dime as cord"><code>++scot</code></a>
557<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#scow' title="Render dime as tape"><code>++scow</code></a>
558<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-ff' title="Convert from IEEE float to fn"><code>++sea:ff</code></a>
559<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-rd' title="Convert from double-precision binary float to fn"><code>++sea:rd</code></a>
560<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-rh' title="Convert from half-precision float to fn"><code>++sea:rh</code></a>
561<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-rs' title="Convert from single-precision float to fn"><code>++sea:rs</code></a>
562<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-rq' title="Convert from quad-precision float to fn"><code>++sea:rq</code></a>
563<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#sear' title="Conditional ++cook"><code>++sear</code></a>
564<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#seb-ab' title="Parse 1"><code>++seb:ab</code></a>
565<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sed-ab' title="Parse non-zero decimal digit"><code>++sed:ab</code></a>
566<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#sel' title="Parse [ (sel)"><code>++sel</code></a>
567<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#sem' title="Parse ; (sem)"><code>++sem</code></a>
568<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ser' title="Parse ] (ser)"><code>++ser</code></a>
569<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#set' title="Mold generator (set)"><code>++set</code></a>
570<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sev-ab' title="Parse non-zero base 32 digit"><code>++sev:ab</code></a>
571<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sew-ab' title="Parse non-zero base 64 digit"><code>++sew:ab</code></a>
572<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sex-ab' title="Parse nonzero hexadecimal digit"><code>++sex:ab</code></a>
573<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#sfix' title="Discard second rule"><code>++sfix</code></a>
574<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shad' title="Double SHA-256"><code>++shad</code></a>
575<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaf' title="Half SHA-256"><code>++shaf</code></a>
576<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shal' title="SHA-512 with length"><code>++shal</code></a>
577<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#sham' title="128-bit noun hash"><code>++sham</code></a>
578<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shan' title="SHA-1"><code>++shan</code></a>
579<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shas' title="Salted hash"><code>++shas</code></a>
580<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaw' title="Hash to nbits"><code>++shaw</code></a>
581<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shax' title="SHA-256"><code>++shax</code></a>
582<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shay' title="SHA-256 with length"><code>++shay</code></a>
583<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaz' title="SHA-512"><code>++shaz</code></a>
584<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#shep' title="(Undocumented)"><code>++shep</code></a>
585<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#shf-fl' title="Shift power"><code>++shf:fl</code></a>
586<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#shim' title="Match character within range"><code>++shim</code></a>
587<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#shop' title="(Undocumented)"><code>++shop</code></a>
588<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#show' title="(Undocumented)"><code>++show</code></a>
589<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#si' title="Signed integer"><code>++si</code></a>
590<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#si-nl' title="Construct set from null-terminated noun"><code>++si:nl</code></a>
591<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sib-ab' title="Parse binary digit"><code>++sib:ab</code></a>
592<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sid-ab' title="Parse decimal digit"><code>++sid:ab</code></a>
593<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#sig' title="Parse ~ (sig)"><code>++sig</code></a>
594<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-ff' title="Produce sign of IEEE float"><code>++sig:ff</code></a>
595<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-rd' title="Produce sign of @rd"><code>++sig:rd</code></a>
596<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-rh' title="Produce sign of half-precision float"><code>++sig:rh</code></a>
597<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-rs' title="Produce sign of @rs"><code>++sig:rs</code></a>
598<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-rq' title="Produce sign of quad-precision float"><code>++sig:rq</code></a>
599<a class="tooltip" href='/docs/hoon/reference/stdlib/2l/#silt' title="Produce set from list"><code>++silt</code></a>
600<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#simu' title="First and second"><code>++simu</code></a>
601<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sit-fe' title="Enforce modulo"><code>++sit:fe</code></a>
602<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sit-fo' title="Produce remainder of b modulo a"><code>++sit:fo</code></a>
603<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#siv-ab' title="Parse a base 32 digit"><code>++siv:ab</code></a>
604<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#siw-ab' title="Parse a base 64 digit"><code>++siw:ab</code></a>
605<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#six-ab' title="Parse a hexadecimal digit"><code>++six:ab</code></a>
606<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#skid' title="Separate list into two lists from slammed elments"><code>++skid</code></a>
607<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#skim' title="Produce list of elements from boolean gate"><code>++skim</code></a>
608<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#skip' title="Produce list of elements failing boolean gate"><code>++skip</code></a>
609<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#slag' title="Produce all elements from index in list"><code>++slag</code></a>
610<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#slat' title="Curried slaw"><code>++slat</code></a>
611<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#slav' title="Demand: parse cord with input aura"><code>++slav</code></a>
612<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#slaw' title="Parse cord to input aura"><code>++slaw</code></a>
613<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#slay' title="Parse cord to coin"><code>++slay</code></a>
614<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#slog' title="Deify printf"><code>++slog</code></a>
615<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#slug' title="Use gate to parse delimited list"><code>++slug</code></a>
616<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#smyt' title="Render path as tank"><code>++smyt</code></a>
617<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#snag' title="Produce element at specific index (list)"><code>++snag</code></a>
618<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#snag-nl' title="Produce element from list at specific null-terminated noun"><code>++snag:nl</code></a>
619<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#snap' title="Replace item at index"><code>++snap</code></a>
620<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#snoc' title="Append noun to list"><code>++snoc</code></a>
621<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#so' title="Coin parser engine"><code>++so</code></a>
622<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#soft' title="Maybe remold"><code>++soft</code></a>
623<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#some' title="Wrap value in unit"><code>++some</code></a>
624<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#soq' title="Parse ' (soq)"><code>++soq</code></a>
625<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#sort' title="Quicksort (list)"><code>++sort</code></a>
626<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sov-ab' title="Parse base 32 letter"><code>++sov:ab</code></a>
627<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sow-ab' title="Parse base 64 letter/symbol"><code>++sow:ab</code></a>
628<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sox-ab' title="Parse hexadecimal letter"><code>++sox:ab</code></a>
629<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#soz' title="Parse triple single-quote"><code>++soz</code></a>
630<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#span' title="ASCII atom"><code>++span</code></a>
631<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#spat' title="Render path as cord"><code>++spat</code></a>
632<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#spd-fl' title="Produce smallest denormalized float"><code>++spd:fl</code></a>
633<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#spin' title="Gate to list (with state)"><code>++spin</code></a>
634<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#spn-fl' title="Produce smallest normal float"><code>++spn:fl</code></a>
635<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#spot' title="Stack trace line"><code>++spot</code></a>
636<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#spud' title="Render path as tape"><code>++spud</code></a>
637<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#spun' title="Gate to list (with state)"><code>++spun</code></a>
638<a class="tooltip" href='/docs/hoon/reference/stdlib/2g/#sqt' title="Compute square root with remainder"><code>++sqt</code></a>
639<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-ff' title="Produce square root of IEEE float"><code>++sqt:ff</code></a>
640<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-fl' title="Produce square root from signed and unsigned integer cell"><code>++sqt:fl</code></a>
641<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-rd' title="Produce square root of double-precision float"><code>++sqt:rd</code></a>
642<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-rh' title="Produce square root of half-precision float"><code>++sqt:rh</code></a>
643<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-rs' title="Produce square root of single-precision float"><code>++sqt:rs</code></a>
644<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-rq' title="Produce square root of quad-precision float"><code>++sqt:rq</code></a>
645<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#stab' title="Parse cord to path"><code>++stab</code></a>
646<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stag' title="Add label"><code>++stag</code></a>
647<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#star' title="Produce list of matches"><code>++star</code></a>
648<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stet' title="Add faces to range-parser pairs in list"><code>++stet</code></a>
649<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stew' title="Switch by first"><code>++stew</code></a>
650<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stir' title="Parse repeatedly"><code>++stir</code></a>
651<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stun' title="Parse several times"><code>++stun</code></a>
652<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#sub' title="Subtract"><code>++sub</code></a>
653<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-ff' title="Subtract from IEEE float"><code>++sub:ff</code></a>
654<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-fl' title="Subtract from signed and unsigned integer cells"><code>++sub:fl</code></a>
655<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-rd' title="Subtract from double-precision float"><code>++sub:rd</code></a>
656<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-rh' title="Subtract from half-precision float"><code>++sub:rh</code></a>
657<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-rs' title="Subtract from single-precision float"><code>++sub:rs</code></a>
658<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-rq' title="Subtract from quad-precision float"><code>++sub:rq</code></a>
659<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sum-fe' title="Sum two numbers in modular field"><code>++sum:fe</code></a>
660<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sum-fo' title="Modular sum"><code>++sum:fo</code></a>
661<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sum-si' title="Addition (signed integer)"><code>++sum:si</code></a>
662<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-ff' title="Unsigned integer to IEEE float"><code>++sun:ff</code></a>
663<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-fl' title="Unsigned integer to float"><code>++sun:fl</code></a>
664<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-rd' title="Unsigned integer to double-precision float"><code>++sun:rd</code></a>
665<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-rh' title="Unsigned integer to half-precision float"><code>++sun:rh</code></a>
666<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-rs' title="Unsigned integer to single-precision float"><code>++sun:rs</code></a>
667<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-rq' title="Unsigned integer to quad-precision float"><code>++sun:rq</code></a>
668<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sun-si' title="@u to @s"><code>++sun:si</code></a>
669<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#swag' title="Infix (list)"><code>++swag</code></a>
670<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#swp' title="Reverse block order"><code>++swp</code></a>
671<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#swr-fl' title="Switch rounding mode of floating point"><code>++swr:fl</code></a>
672<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#sy' title="Produce set from null-terminated noun"><code>++sy</code></a>
673<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#sym' title="Term"><code>++sym</code></a>
674<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#syn-fl' title="Get sign"><code>++syn:fl</code></a>
675<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#syn-si' title="Sign test"><code>++syn:si</code></a>
679<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#tail' title="Get tail of cell"><code>++tail</code></a>
680<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#tap-to' title="Queue to list"><code>+-tap:to</code></a>
681<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#tar' title="Parse * (tar)"><code>++tar</code></a>
682<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tang' title="Generic print structure"><code>++tang</code></a>
683<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tank' title="Pretty-printing structure"><code>++tank</code></a>
684<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#tap-by' title="Listify pairs"><code>+-tap:by</code></a>
685<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#tap-in' title="Flatten set into list"><code>+-tap:in</code></a>
686<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tape' title="List of characters"><code>++tape</code></a>
687<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tarp' title="Parsed time"><code>++tarp</code></a>
688<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#tash-so' title="Parse signed dime"><code>++tash:so</code></a>
689<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#tec' title="Parse ` (tec)"><code>++tec</code></a>
690<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ted-ab' title="Parse decimal number with <= 3 digits"><code>++ted:ab</code></a>
691<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#teff' title="UTF-8 length"><code>++teff</code></a>
692<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#teil-ob' title="Reverse Feistel-like cipher"><code>++teil:ob</code></a>
693<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#term' title="Hoon constant"><code>++term</code></a>
694<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#test' title="Test for equality"><code>++test</code></a>
695<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tid-ab' title="Parse 3 decimal digits"><code>++tid:ab</code></a>
696<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tiki' title="(Undocumented)"><code>++tiki</code></a>
697<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#til-ab' title="Parse 3 lowercase letters"><code>++til:ab</code></a>
698<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tip-ab' title="Leading phonetic byte"><code>++tip:ab</code></a>
699<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tiq-ab' title="Trailing phonetic syllable"><code>++tiq:ab</code></a>
700<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#tis' title="Parse = (tis)"><code>++tis</code></a>
701<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#to' title="Queue operations"><code>++to</code></a>
702<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#tod-po' title="Fetch suffix"><code>++tod:po</code></a>
703<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#toga' title="Tree of faces"><code>++toga</code></a>
704<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toi-ff' title="Round IEEE float to nearest signed integer"><code>++toi:ff</code></a>
705<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toi-fl' title="Round float to nearest signed integer"><code>++toi:fl</code></a>
706<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toi-rd' title="Round double-precision float to nearest signed integer"><code>++toi:rd</code></a>
707<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toi-rh' title="Round half-precision float to nearest signed integer"><code>++toi:rh</code></a>
708<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toi-rs' title="Round single-precision float to nearest signed integer"><code>++toi:rs</code></a>
709<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toi-rq' title="Round quad-precision float to nearest signed integer"><code>++toi:rq</code></a>
710<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toj-fl' title="Round unsigned and signed integer to float"><code>++toj:fl</code></a>
711<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#tone' title="Nock result (error report)"><code>++tone</code></a>
712<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#toon' title="Nock result (stack trace)"><code>++toon</code></a>
713<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#top-to' title="Produce head of queue"><code>+-top:to</code></a>
714<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#tos-po' title="Fetch prefix"><code>++tos:po</code></a>
715<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#tos-rh' title="Convert half-precision float to single-precision float"><code>++tos:rh</code></a>
716<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#trap' title="Core with one arm $"><code>++trap</code></a>
717<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#tree' title="Mold generator (tree)"><code>++tree</code></a>
718<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#trel' title="Mold generator (tuple of three types)"><code>++trel</code></a>
719<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#trim' title="Tape split"><code>++trim</code></a>
720<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#trip' title="Cord to tape"><code>++trip</code></a>
721<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tuba' title="UTF-8 to UTF-32 tape"><code>++tuba</code></a>
722<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tufa' title="UTF-32 to UTF-8 tape"><code>++tufa</code></a>
723<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tuna' title="XML template tree"><code>++tuna</code></a>
724<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tuft' title="UTF-32 to UTF-8 text"><code>++tuft</code></a>
725<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#turf' title="UTF-8 to UTF-32 cord"><code>++turf</code></a>
726<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#turn' title="Gate to list"><code>++turn</code></a>
727<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tusk' title="List of expressions"><code>++tusk</code></a>
728<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#twid-so' title="Parse coins without ~ prefix"><code>++twid:so</code></a>
729<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tyke' title="List of 'maybe' hoons"><code>++tyke</code></a>
730<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#typo' title="Pointer for ++type"><code>++typo</code></a>
731<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tyre' title="List, term hoon"><code>++tyre</code></a>
735<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#un' title="Reversible scrambling"><code>++un</code></a>
736<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#uni-by' title="Union (map between keys of two lists)"><code>+-uni:by</code></a>
737<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#uni-fl' title="Change representation to odd"><code>++uni:fl</code></a>
738<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#uni-in' title="Union (sets)"><code>+-uni:in</code></a>
739<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#unit' title="Mold generator (maybe)"><code>++unit</code></a>
740<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#urn-by' title="Turn (with key) (map)"><code>+-urn:by</code></a>
741<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#urs-ab' title="Parse span characters"><code>++urs:ab</code></a>
742<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#urt-ab' title="Parse non-_ span"><code>++urt:ab</code></a>
746<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#v-ne' title="Render base 32"><code>++v:ne</code></a>
748<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#vase' title="Typed data"><code>++vase</code></a>
750<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#ven' title="Axis syntax parser"><code>++ven</code></a>
751<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#vise' title="Convert during reboot"><code>++vise</code></a>
752<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#vit' title="Parse base 64 digit"><code>++vit</code></a>
753<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#viz-ag' title="Parse base 32 digit with dot separators"><code>++viz:ag</code></a>
754<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#vor' title="Vertical order"><code>++vor</code></a>
755<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#voy-ab' title="Parse bas, soq, or bix"><code>++voy:ab</code></a>
756<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#vul' title="Comments to null"><code>++vul</code></a>
757<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#vum-ag' title="Parse base 32 string"><code>++vum:ag</code></a>
761<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#w-ne' title="Render base 64 digit"><code>++w:ne</code></a>
762<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wack' title="Coin format encode"><code>++wack</code></a>
763<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#wain' title="List of cords"><code>++wain</code></a>
764<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#wall' title="List of list of characters"><code>++wall</code></a>
765<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#weld' title="Concatenate two lists"><code>++weld</code></a>
766<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#weld-nl' title="Concatenate null-terminated nouns"><code>++weld:nl</code></a>
767<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#welp' title="Perfect concatenate (lists)"><code>++welp</code></a>
768<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wick' title="Coin format decode"><code>++wick</code></a>
769<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#wig-re' title="++win - render tape"><code>++wig:re</code></a>
770<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#win-re' title="Render at indent"><code>++win:re</code></a>
771<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#wing' title="Address in subject"><code>++wing</code></a>
772<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#wiz-ag' title="Parse base 64 number"><code>++wiz:ag</code></a>
773<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#woad' title="Unescape cord"><code>++woad</code></a>
774<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wood' title="Escape cord"><code>++wood</code></a>
775<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#wonk' title="Product from edge"><code>++wonk</code></a>
776<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#wred-un' title="Restore structure"><code>++wred:un</code></a>
777<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#wren-un' title="Conceal structure"><code>++wren:un</code></a>
778<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#wut' title="Parse ? (wut)"><code>++wut</code></a>
779<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#wyt-by' title="Produce depth of tree map"><code>+-wyt:by</code></a>
780<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#wyt-in' title="Produce number of elements in set"><code>+-wyt:in</code></a>
784<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#x-ne' title="Render hexadecimal digit as atom of ASCII byte value"><code>++x:ne</code></a>
785<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#xeb' title="Binary logarithm"><code>++xeb</code></a>
786<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#xpd-fl' title="Expand signed and unsigned integer cell"><code>++xpd:fl</code></a>
790<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yall' title="Time since beginning of time"><code>++yall</code></a>
791<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yawn' title="Days since beginning of time"><code>++yawn</code></a>
792<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#year' title="Date to @d"><code>++year</code></a>
793<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yell' title="Tarp from atomic date"><code>++yell</code></a>
794<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yelp' title="Determine if leap-week"><code>++yelp</code></a>
795<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yer-yo' title="Seconds in year"><code>++yer:yo</code></a>
796<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yo' title="Time constants core"><code>++yo</code></a>
797<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yore' title="Date from atomic date"><code>++yore</code></a>
798<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yule' title="Daily time to time atom"><code>++yule</code></a>
802<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zaft-un' title="Look up in 255 sub box"><code>++zaft:un</code></a>
803<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zag-mu' title="Add bottom into top"><code>++zag:mu</code></a>
804<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#zap' title="Parse ! (zap)"><code>++zap</code></a>
805<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zart-un' title="Reverse look up in 255 sub box"><code>++zart:un</code></a>
806<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#zer-fl' title="Produce zero as float"><code>++zer:fl</code></a>
807<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zig-mu' title="Subtract bottom from top"><code>++zig:mu</code></a>
808<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>
809<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zug-mu' title="Concatenate into atom"><code>++zug:mu</code></a>
810<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#zust-so' title="Parse prefixed dimes from IP, loobean, or floating point"><code>++zust:so</code></a>
811<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zyft-un' title="Lookup byte in 256 sub box"><code>++zyft:un</code></a>
812<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zyrt-un' title="Reverse lookup byte in 256 sub box"><code>++zyrt:un</code></a>
816### 1a: basic arithmetic
818<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#add' title="Add"><code>++add</code></a>
819<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#dec' title="Decrement"><code>++dec</code></a>
820<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#div' title="Divide"><code>++div</code></a>
821<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#dvr' title="Divide (with remainder)"><code>++dvr</code></a>
822<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#gte' title="Greater than / equal"><code>++gte</code></a>
823<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#gth' title="Greater than"><code>++gth</code></a>
824<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#lte' title="Less than / equal (atom)"><code>++lte</code></a>
825<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#lth' title="Less than (atom)"><code>++lth</code></a>
826<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#max' title="Maximum"><code>++max</code></a>
827<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#min' title="Minimum (atom)"><code>++min</code></a>
828<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#mod' title="Modulus (atom)"><code>++mod</code></a>
829<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#mul' title="Multiply (atom)"><code>++mul</code></a>
830<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#sub' title="Subtract"><code>++sub</code></a>
832### 1b: tree addressing
834<a class="tooltip" href='/docs/hoon/reference/stdlib/1b/#cap' title="Tree head"><code>++cap</code></a>
835<a class="tooltip" href='/docs/hoon/reference/stdlib/1b/#mas' title="Address within head/tail"><code>++mas</code></a>
836<a class="tooltip" href='/docs/hoon/reference/stdlib/1b/#peg' title="Address within address"><code>++peg</code></a>
838### 1c: molds and mold builders
840<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#bloq' title="Blocksize"><code>++bloq</code></a>
841<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#each' title="Mold of fork between two types"><code>++each</code></a>
842<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#gate' title="Function"><code>++gate</code></a>
843<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#list' title="Mold constructor (list)"><code>++list</code></a>
844<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#lone' title="Mold generator (face on mold)"><code>++lone</code></a>
845<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#pair' title="Mold of pair of types"><code>++pair</code></a>
846<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#pole' title="Mold generator of faceless list"><code>++pole</code></a>
847<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#quip' title="Mold generator (tuple of list and type)"><code>++quip</code></a>
848<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#trap' title="Core with one arm $"><code>++trap</code></a>
849<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#tree' title="Mold generator (tree)"><code>++tree</code></a>
850<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#trel' title="Mold generator (tuple of three types)"><code>++trel</code></a>
851<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#unit' title="Mold generator (maybe)"><code>++unit</code></a>
855<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#biff' title="Unit as argument"><code>++biff</code></a>
856<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#bind' title="Non-unit function to unit, producing unit"><code>++bind</code></a>
857<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#bond' title="Replace null"><code>++bond</code></a>
858<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#both' title="Group unit values into pair"><code>++both</code></a>
859<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#clap' title="Apply function to two units"><code>++clap</code></a>
860<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#drop' title="Unit to list"><code>++drop</code></a>
861<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#fall' title="Give unit a default value"><code>++fall</code></a>
862<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#lift' title="Curried bind"><code>++lift</code></a>
863<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#mate' title="Choose"><code>++mate</code></a>
864<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#need' title="Unwrap unit"><code>++need</code></a>
865<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#some' title="Wrap value in unit"><code>++some</code></a>
869<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#fand' title="All indices in list"><code>++fand</code></a>
870<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#find' title="First index in list"><code>++find</code></a>
871<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#flop' title="Reverse list"><code>++flop</code></a>
872<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#gulf' title="List from range"><code>++gulf</code></a>
873<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#homo' title="Homogenize list"><code>++homo</code></a>
874<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#join' title="Add separator between list elements"><code>++join</code></a>
875<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#lent' title="List length"><code>++lent</code></a>
876<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#levy' title="Logical AND on list"><code>++levy</code></a>
877<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#lien' title="Logical OR on list"><code>++lien</code></a>
878<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#limo' title="Construct list from null-terminated tuple"><code>++limo</code></a>
879<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#murn' title="Maybe transform"><code>++murn</code></a>
880<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#oust' title="Remove from list"><code>++oust</code></a>
881<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#reap' title="Replicate (list)"><code>++reap</code></a>
882<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#reel' title="Right fold (list)"><code>++reel</code></a>
883<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#roll' title="Left fold (list)"><code>++roll</code></a>
884<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#scag' title="Prefix (produce front of list)"><code>++scag</code></a>
885<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#skid' title="Separate list into two lists from slammed elments"><code>++skid</code></a>
886<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#skim' title="Produce list of elements from boolean gate"><code>++skim</code></a>
887<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#skip' title="Produce list of elements failing boolean gate"><code>++skip</code></a>
888<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#slag' title="Produce all elements from index in list"><code>++slag</code></a>
889<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#snag' title="Produce element at specific index (list)"><code>++snag</code></a>
890<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#snap' title="Replace item at index"><code>++snap</code></a>
891<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#snoc' title="Append noun to list"><code>++snoc</code></a>
892<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#sort' title="Quicksort (list)"><code>++sort</code></a>
893<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#spin' title="Gate to list (with state)"><code>++spin</code></a>
894<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#spun' title="Gate to list (with state)"><code>++spun</code></a>
895<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#swag' title="Infix (list)"><code>++swag</code></a>
896<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#turn' title="Gate to list"><code>++turn</code></a>
897<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#weld' title="Concatenate two lists"><code>++weld</code></a>
898<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#welp' title="Perfect concatenate (lists)"><code>++welp</code></a>
899<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>
901### 2c: bit arithmetic
903<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#fe' title="Modulo bloq"><code>++fe</code></a>
904<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#dif-fe' title="Difference between atoms (modular basis)"><code>++dif:fe</code></a>
905<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#inv-fe' title="Inverse order of modular field"><code>++inv:fe</code></a>
906<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#net-fe' title="Flip endianness"><code>++net:fe</code></a>
907<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#out-fe' title="Maximum integer value"><code>++out:fe</code></a>
908<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rol-fe' title="Roll left"><code>++rol:fe</code></a>
909<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#ror-fe' title="Roll right"><code>++ror:fe</code></a>
910<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sit-fe' title="Enforce modulo"><code>++sit:fe</code></a>
911<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sum-fe' title="Sum two numbers in modular field"><code>++sum:fe</code></a>
913<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#bex' title="Binary exponent"><code>++bex</code></a>
914<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#can' title="Assemble"><code>++can</code></a>
915<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#cat' title="Concatenate"><code>++cat</code></a>
916<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#cut' title="Slice"><code>++cut</code></a>
917<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#end' title="Tail"><code>++end</code></a>
918<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#fil' title="Fill bloqstream"><code>++fil</code></a>
919<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#lsh' title="Left-shift"><code>++lsh</code></a>
920<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#met' title="Measure"><code>++met</code></a>
921<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rap' title="Assemble non-zero"><code>++rap</code></a>
922<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rep' title="Assemble single"><code>++rep</code></a>
923<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rip' title="Disassemble"><code>++rip</code></a>
924<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rsh' title="Right-shift"><code>++rsh</code></a>
925<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#swp' title="Reverse block order"><code>++swp</code></a>
926<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#xeb' title="Binary logarithm"><code>++xeb</code></a>
930<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#con' title="Binary OR"><code>++con</code></a>
931<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#dis' title="Binary AND (atoms)"><code>++dis</code></a>
932<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#mix' title="Binary XOR (atom)"><code>++mix</code></a>
933<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#not' title="Binary NOT (atom)"><code>++not</code></a>
935### 2e: insecure hashing
937<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#fnv' title="FNV scrambler"><code>++fnv</code></a>
938<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#mug' title="FNV-1a scrambler"><code>++mug</code></a>
939<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#muk' title="Standard MurmurHash3"><code>++muk</code></a>
940<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#mum' title="31-bit MurmurHash3 scrambler"><code>++mum</code></a>
944<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#aor' title="Alphabetical order"><code>++aor</code></a>
945<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#dor' title="Numeric order"><code>++dor</code></a>
946<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#gor' title="Hash order"><code>++gor</code></a>
947<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#hor' title="Horizontal hash order"><code>++hor</code></a>
948<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#lor' title="Leg order"><code>++lor</code></a>
949<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#vor' title="Vertical order"><code>++vor</code></a>
951### 2g: unsigned powers
953<a class="tooltip" href='/docs/hoon/reference/stdlib/2g/#pow' title="Computes a to the power of b"><code>++pow</code></a>
954<a class="tooltip" href='/docs/hoon/reference/stdlib/2g/#sqt' title="Compute square root with remainder"><code>++sqt</code></a>
958<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#in'><code>++in</code></a>
959<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#all-in' title="Logical AND (set and wet gate)"><code>+-all:in</code></a>
960<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#any-in' title="Logical OR (set and gate)"><code>+-any:in</code></a>
961<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#apt-in' title="Check correctness (set)"><code>+-apt:in</code></a>
962<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#bif-in' title="Bifurcate set"><code>+-bif:in</code></a>
963<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#del-in' title="Delete (set)"><code>+-del:in</code></a>
964<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#dif-in' title='Difference (set)'><code>+-dif:in</code></a>
965<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#dig-in' title="Address of a in set"><code>+-dig:in</code></a>
966<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#gas-in' title="Concatenate (set)"><code>+-gas:in</code></a>
967<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#has-in' title="Key existence check (set)"><code>+-has:in</code></a>
968<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#int-in' title="Intersection (set)"><code>+-int:in</code></a>
969<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#put-in' title="Put b in a (set)"><code>+-put:in</code></a>
970<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#rep-in' title="Accumulate elements (set)"><code>+-rep:in</code></a>
971<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#run-in' title="Apply gate to set"><code>+-run:in</code></a>
972<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#tap-in' title="Flatten set into list"><code>+-tap:in</code></a>
973<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#uni-in' title="Union (sets)"><code>+-uni:in</code></a>
974<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#wyt-in' title="Produce number of elements in set"><code>+-wyt:in</code></a>
978<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#by' title="Map operations"><code>++by</code></a>
979<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#all-by' title="Logical AND (map and wet gate)"><code>+-all:by</code></a>
980<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#any-by' title="Logical OR (map and wet gate)"><code>+-any:by</code></a>
981<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#apt-by' title="Check correctness (map)"><code>+-apt:by</code></a>
982<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#bif-by' title="Bifurcate map"><code>+-bif:by</code></a>
983<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#def-by' title="Difference (map)"><code>+-def:by</code></a>
984<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#del-by' title="Delete (map)"><code>+-del:by</code></a>
985<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#dep-by' title="Difference as patch (map)"><code>+-dep:by</code></a>
986<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#dig-by' title="Address of key (map)"><code>+-dig:by</code></a>
987<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#gas-by' title="Concatenate (map)"><code>+-gas:by</code></a>
988<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#get-by' title="Grab unit value"><code>+-get:by</code></a>
989<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#got-by' title="Assert for value (map)"><code>+-got:by</code></a>
990<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#gut-by' title="Grab value with default"><code>+-gut:by</code></a>
991<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#has-by' title="Key existence check (map)"><code>+-has:by</code></a>
992<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#int-by' title="Intersection (map)"><code>+-int:by</code></a>
993<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#mar-by' title="Assert and add (map)"><code>+-mar:by</code></a>
994<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#put-by' title="Add key-value pair (map)"><code>+-put:by</code></a>
995<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#rep-by' title="Replace by product (map)"><code>+-rep:by</code></a>
996<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#rib-by' title="Replace values with accumulator (map)"><code>+-rib:by</code></a>
997<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#run-by' title="Transform values (map)"><code>+-run:by</code></a>
998<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#rut-by' title="Transform nodes (map)"><code>+-rut:by</code></a>
999<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#tap-by' title="Listify pairs"><code>+-tap:by</code></a>
1000<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#uni-by' title="Union (map between keys of two lists)"><code>+-uni:by</code></a>
1001<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#urn-by' title="Turn (with key) (map)"><code>+-urn:by</code></a>
1002<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#wyt-by' title="Produce depth of tree map"><code>+-wyt:by</code></a>
1004### 2j: jar and jug logic
1006<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#ja' title="Jar engine"><code>++ja</code></a>
1007<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#add-ja' title="Prepend to list"><code>+-add:ja</code></a>
1008<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#get-ja' title="Grab value by key"><code>+-get:ja</code></a>
1010<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#ju' title="Jug operations"><code>++ju</code></a>
1011<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#del-ju' title="Delete (jug)"><code>+-del:ju</code></a>
1012<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#get-ju' title="Retrieve set"><code>+-get:ju</code></a>
1013<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#has-ju' title="Check contents (jug)"><code>+-has:ju</code></a>
1014<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#put-ju' title="Add key-set pair (jar)"><code>+-put:ju</code></a>
1018<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#to' title="Queue operations"><code>++to</code></a>
1019<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#bal-to' title="Balance queue"><code>+-bal:to</code></a>
1020<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#dep-to' title="Maximum depth (queue)"><code>+-dep:to</code></a>
1021<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#gas-to' title="Push list into queue"><code>+-gas:to</code></a>
1022<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#get-to' title="Head-tail pair"><code>+-get:to</code></a>
1023<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#nap-to' title="Remove head of queue"><code>+-nap:to</code></a>
1024<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#nip-to' title="Remove root of queue"><code>+-nip:to</code></a>
1025<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#put-to' title="Insert into queue"><code>+-put:to</code></a>
1026<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#tap-to' title="Queue to list"><code>+-tap:to</code></a>
1027<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#top-to' title="Produce head of queue"><code>+-top:to</code></a>
1029### 2l: container from container
1031<a class="tooltip" href='/docs/hoon/reference/stdlib/2l/#malt' title="Map from list"><code>++malt</code></a>
1032<a class="tooltip" href='/docs/hoon/reference/stdlib/2l/#molt' title="Map from pair list"><code>++molt</code></a>
1033<a class="tooltip" href='/docs/hoon/reference/stdlib/2l/#silt' title="Produce set from list"><code>++silt</code></a>
1035### 2m: container from noun
1037<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#nl' title="Noun to container operations"><code>++nl</code></a>
1038<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#le-nl' title="Construct list from null-terminated noun"><code>++le:nl</code></a>
1039<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#my-nl' title="Construct map from null-terminated noun"><code>++my:nl</code></a>
1040<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#si-nl' title="Construct set from null-terminated noun"><code>++si:nl</code></a>
1041<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#snag-nl' title="Produce element from list at specific null-terminated noun"><code>++snag:nl</code></a>
1042<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#weld-nl' title="Concatenate null-terminated nouns"><code>++weld:nl</code></a>
1044<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#ly' title="List from raw noun"><code>++ly</code></a>
1045<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#my' title="Map from raw noun"><code>++my</code></a>
1046<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#sy' title="Produce set from null-terminated noun"><code>++sy</code></a>
1048### 2n: functional hacks
1050<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#cork' title="Compose forward"><code>++cork</code></a>
1051<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#corl' title="Compose backward"><code>++corl</code></a>
1052<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#curr' title="Right-curry a gate"><code>++curr</code></a>
1053<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#cury' title="Curry left a gate"><code>++cury</code></a>
1054<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#hard' title="Force remold"><code>++hard</code></a>
1055<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#head' title="Get head of cell"><code>++head</code></a>
1056<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#mean' title="Crash and printf"><code>++mean</code></a>
1057<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#same' title="Identity (produces same value)"><code>++same</code></a>
1058<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#slog' title="Deify printf"><code>++slog</code></a>
1059<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#soft' title="Maybe remold"><code>++soft</code></a>
1060<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#tail' title="Get tail of cell"><code>++tail</code></a>
1061<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#test' title="Test for equality"><code>++test</code></a>
1063### 2o: normalizing containers
1065<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#jar' title="Mold generator (jar)"><code>++jar</code></a>
1066<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#jug' title="Mold generator (jug)"><code>++jug</code></a>
1067<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#map' title="Mold generator (map)"><code>++map</code></a>
1068<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#qeu' title="Mold generator (queue)"><code>++qeu</code></a>
1069<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#set' title="Mold generator (set)"><code>++set</code></a>
1071### 2p: serialization
1073<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#cue' title="Unpack atom to noun"><code>++cue</code></a>
1074<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#jam' title="Pack noun to atom"><code>++jam</code></a>
1075<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#mat' title="Length-encode"><code>++mat</code></a>
1076<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#rub' title="Length-decode"><code>++rub</code></a>
1078### 2q: molds and mold builders
1080<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#char' title="Character"><code>++char</code></a>
1081<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#cord' title="UTF-8 text"><code>++cord</code></a>
1082<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#date' title="Point in time"><code>++date</code></a>
1083<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#knot' title="Atom type of ASCII characters"><code>++knot</code></a>
1084<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tang' title="Generic print structure"><code>++tang</code></a>
1085<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tank' title="Pretty-printing structure"><code>++tank</code></a>
1086<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tape' title="List of characters"><code>++tape</code></a>
1087<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tarp' title="Parsed time"><code>++tarp</code></a>
1088<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#term' title="Hoon constant"><code>++term</code></a>
1089<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#wain' title="List of cords"><code>++wain</code></a>
1090<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#wall' title="List of list of characters"><code>++wall</code></a>
1092### 3a: modular and signed ints
1094<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#fo' title="Modulo prime"><code>++fo</code></a>
1095<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#dif-fo' title='Subtraction (modular base)'><code>++dif:fo</code></a>
1096<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#exp-fo' title="Exponent (modular base)"><code>++exp:fo</code></a>
1097<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#fra-fo' title="Divide (modular base)"><code>++fra:fo</code></a>
1098<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#inv-fo' title="Inverse (signed modulus)"><code>++inv:fo</code></a>
1099<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#pro-fo' title="Multiplies b and c modulo a"><code>++pro:fo</code></a>
1100<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sit-fo' title="Produce remainder of b modulo a"><code>++sit:fo</code></a>
1101<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sum-fo' title="Modular sum"><code>++sum:fo</code></a>
1103<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#si' title="Signed integer"><code>++si</code></a>
1104<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#abs-si' title="Absolute value (signed integer)"><code>++abs:si</code></a>
1105<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#cmp-si' title="Compare (signed integer)"><code>++cmp:si</code></a>
1106<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#dif-si' title="Subtraction (signed integer)"><code>++dif:si</code></a>
1107<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#dul-si' title="Modulus (signed integer)"><code>++dul:si</code></a>
1108<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#fra-si' title="Divide (signed integer)"><code>++fra:si</code></a>
1109<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#new-si' title="Atom to @s"><code>++new:si</code></a>
1110<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#old-si' title="Sign and absolute value"><code>++old:si</code></a>
1111<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#pro-si' title="Multiply to signed integer"><code>++pro:si</code></a>
1112<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#rem-si' title="Remainder (signed integer)"><code>++rem:si</code></a>
1113<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sum-si' title="Addition (signed integer)"><code>++sum:si</code></a>
1114<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sun-si' title="@u to @s"><code>++sun:si</code></a>
1115<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#syn-si' title="Sign test"><code>++syn:si</code></a>
1117<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#egcd' title="Extended Euclidean algorithm"><code>++egcd</code></a>
1119### 3b: floating point
1121<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#dn'><code>++dn</code></a>
1122<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fn'><code>++fn</code></a>
1123<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rn'><code>++rn</code></a>
1125<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ff'><code>++ff</code></a>
1126<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-ff' title="Add (floating point)"><code>++add:ff</code></a>
1127<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bif-ff' title="Converts from fn to @r"><code>++bif:ff</code></a>
1128<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-ff' title="fn to @r with rounding"><code>++bit:ff</code></a>
1129<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-ff' title="Divide (IEEE float)"><code>++div:ff</code></a>
1130<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-ff' title="@r to decimal float"><code>++drg:ff</code></a>
1131<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-ff' title="Equals (IEEE float)"><code>++equ:ff</code></a>
1132<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-ff' title="Get exponent (IEEE float)"><code>++exp:ff</code></a>
1133<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-ff' title="Fused multiply-add (IEEE float)"><code>++fma:ff</code></a>
1134<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-ff' title="Decimal float to @r"><code>++grd:ff</code></a>
1135<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-ff' title="Greater than / equal (IEEE float)"><code>++gte:ff</code></a>
1136<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-ff' title="Greater than (IEEE float)"><code>++gth:ff</code></a>
1137<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-ff' title="Less than / equal (IEEE float)"><code>++lte:ff</code></a>
1138<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-ff' title="Less than (IEEE float)"><code>++lth:ff</code></a>
1139<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#me-ff' title="Minimum exponent of ff"><code>++me:ff</code></a>
1140<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-ff' title="Multiply (IEEE float)"><code>++mul:ff</code></a>
1141<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#pa-ff' title="Initialize fl from ff core"><code>++pa:ff</code></a>
1142<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-ff' title="Signed integer to @r"><code>++san:ff</code></a>
1143<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sb-ff' title="Sign bit"><code>++sb:ff</code></a>
1144<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-ff' title="Convert from IEEE float to fn"><code>++sea:ff</code></a>
1145<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-ff' title="Produce sign of IEEE float"><code>++sig:ff</code></a>
1146<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-ff' title="Produce square root from IEEE float"><code>++sqt:ff</code></a>
1147<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-ff' title="Subtract from IEEE float"><code>++sub:ff</code></a>
1148<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-ff' title="Unsigned integer to IEEE float"><code>++sun:ff</code></a>
1149<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toi-ff' title="Round IEEE float to nearest signed integer"><code>++toi:ff</code></a>
1151<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fl'><code>++fl</code></a>
1152<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#abs-fl' title="Absolute value"><code>++abs:fl</code></a>
1153<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-fl' title="Add (with exact/rounded flag)"><code>++add:fl</code></a>
1154<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#den-fl' title="Denormalizes (floating point)"><code>++den:fl</code></a>
1155<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-fl' title="Divide (signed and unsigned integer cell)"><code>++div:fl</code></a>
1156<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-fl' title="Get printable decimal (signed and unsigned integer cell)"><code>++drg:fl</code></a>
1157<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ead-fl' title="Exact add"><code>++ead:fl</code></a>
1158<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emn-fl' title="Minimum exponent"><code>++emn:fl</code></a>
1159<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emu-fl' title="Exact multiply"><code>++emu:fl</code></a>
1160<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emx-fl' title="Maximum exponent"><code>++emx:fl</code></a>
1161<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-fl' title="Equals (signed and unsigned integer cell)"><code>++equ:fl</code></a>
1162<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fli-fl' title="Flip sign"><code>++fli:fl</code></a>
1163<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-fl' title="Fused multiply-add"><code>++fma:fl</code></a>
1164<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-fl' title="Decimal to float"><code>++grd:fl</code></a>
1165<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-fl' title="Greater than / equal (producing flag)"><code>++gte:fl</code></a>
1166<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-fl' title="Greater than (producing flag)"><code>++gth:fl</code></a>
1167<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ibl-fl' title="Integer binary logarithm"><code>++ibl:fl</code></a>
1168<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#inv-fl' title="Inverse"><code>++inv:fl</code></a>
1169<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lfe-fl' title="Maximum"><code>++lfe:fl</code></a>
1170<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lfn-fl' title="Largest normal float"><code>++lfn:fl</code></a>
1171<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-fl' title="Less than / equal (producing flag)"><code>++lte:fl</code></a>
1172<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-fl' title="Less than (signed and unsigned integer cell)"><code>++lth:fl</code></a>
1173<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lug-fl' title="Central rounding mechanism"><code>++lug:fl</code></a>
1174<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-fl' title="Multiply (signed and unsigned integer cell)"><code>++mul:fl</code></a>
1175<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ned-fl' title="Require float"><code>++ned:fl</code></a>
1176<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#prc-fl' title="Force precision of 2 or greater (floating point)"><code>++prc:fl</code></a>
1177<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rau-fl' title="Various roundings (floating point)"><code>++rau:fl</code></a>
1178<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rou-fl' title="Round to nearest float with 113-bit significand"><code>++rou:fl</code></a>
1179<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-fl' title="Signed integer to float"><code>++san:fl</code></a>
1180<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#shf-fl' title="Shift power"><code>++shf:fl</code></a>
1181<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#spd-fl' title="Produce smallest denormalized float"><code>++spd:fl</code></a>
1182<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#spn-fl' title="Produce smallest normal float"><code>++spn:fl</code></a>
1183<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-fl' title="Produce square root from signed and unsigned integer cell"><code>++sqt:fl</code></a>
1184<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-fl' title="Subtract from signed and unsigned integer cells"><code>++sub:fl</code></a>
1185<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-fl' title="Unsigned integer to float"><code>++sun:fl</code></a>
1186<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#swr-fl' title="Switch rounding mode of floating point"><code>++swr:fl</code></a>
1187<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#syn-fl' title="Get sign"><code>++syn:fl</code></a>
1188<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toi-fl' title="Round float to nearest signed integer"><code>++toi:fl</code></a>
1189<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toj-fl' title="Round unsigned and signed integer to float"><code>++toj:fl</code></a>
1190<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#uni-fl' title="Change representation to odd"><code>++uni:fl</code></a>
1191<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#xpd-fl' title="Expand signed and unsigned integer cell"><code>++xpd:fl</code></a>
1192<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#zer-fl' title="Produce zero as float"><code>++zer:fl</code></a>
1194<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rd'><code>++rd</code></a>
1195<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-rd' title="Add (double-precision float)"><code>++add:rd</code></a>
1196<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-rd' title="fn to double-precision binary float"><code>++bit:rd</code></a>
1197<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-rd' title="Double precision float"><code>++div:rd</code></a>
1198<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-rd' title="@rd to decimal float"><code>++drg:rd</code></a>
1199<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-rd' title="Equals (double-precision float)"><code>++equ:rd</code></a>
1200<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-rd' title="Exponent (@rd)"><code>++exp:rd</code></a>
1201<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-rd' title="Fused multiply-add (@rd)"><code>++fma:rd</code></a>
1202<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-rd' title="Decimal float to @rd"><code>++grd:rd</code></a>
1203<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-rd' title="Greater than / equal (double-precision float)"><code>++gte:rd</code></a>
1204<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-rd' title="Greater than (double-precision float)"><code>++gth:rd</code></a>
1205<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-rd' title="Less than / equal (double-precision float)"><code>++lte:rd</code></a>
1206<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-rd' title="Less than (double-precision float)"><code>++lth:rd</code></a>
1207<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ma-rd' title="Initialize ff (rd core)"><code>++ma:rd</code></a>
1208<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-rd' title="Multiply (double-precision float)"><code>++mul:rd</code></a>
1209<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-rd' title="Unsigned integer to @rd"><code>++san:rd</code></a>
1210<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-rd' title="Convert from double-precision binary float to fn"><code>++sea:rd</code></a>
1211<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-rd' title="Produce sign of @rd"><code>++sig:rd</code></a>
1212<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-rd' title="Produce square root of double-precision float"><code>++sqt:rd</code></a>
1213<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-rd' title="Subtract from double-precision float"><code>++sub:rd</code></a>
1214<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-rd' title="Unsigned integer to double-precision float"><code>++sun:rd</code></a>
1215<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toi-rd' title="Round double-precision float to nearest signed integer"><code>++toi:rd</code></a>
1217<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rh'><code>++rh</code></a>
1218<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-rh' title="Add (half-precision float)"><code>++add:rh</code></a>
1219<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-rh' title="fn to half-precision float"><code>++bit:rh</code></a>
1220<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-rh' title="Divide (half-precision float)"><code>++div:rh</code></a>
1221<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-rh' title="@rh to decimal float"><code>++drg:rh</code></a>
1222<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-rh' title="Equals (half-precision float)"><code>++equ:rh</code></a>
1223<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-rh' title="Exponent (half-precision float)"><code>++exp:rh</code></a>
1224<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-rh' title="Fused multiply-add (half-precision float)"><code>++fma:rh</code></a>
1225<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fos-rh' title="@rs to @rh"><code>++fos:rh</code></a>
1226<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-rh' title="Decimal float to @rh"><code>++grd:rh</code></a>
1227<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-rh' title="Greater than / equal (half-precision float)"><code>++gte:rh</code></a>
1228<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-rh' title="Greater than (half-precision float)"><code>++gth:rh</code></a>
1229<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-rh' title="Less than / equal (half-precision float)"><code>++lte:rh</code></a>
1230<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-rh' title="Less than (half-precision float)"><code>++lth:rh</code></a>
1231<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ma-rh' title="Initialize ff (rh core)"><code>++ma:rh</code></a>
1232<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-rh' title="Multiply (quad-precision float)"><code>++mul:rh</code></a>
1233<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-rh' title="Signed integer to @rh"><code>++san:rh</code></a>
1234<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-rh' title="Convert from half-precision float to fn"><code>++sea:rh</code></a>
1235<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-rh' title="Produce sign of half-precision float"><code>++sig:rh</code></a>
1236<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-rh' title="Produce square root of half-precision float"><code>++sqt:rh</code></a>
1237<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-rh' title="Subtract from half-precision float"><code>++sub:rh</code></a>
1238<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-rh' title="Unsigned integer to half-precision float"><code>++sun:rh</code></a>
1239<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toi-rh' title="Round half-precision float to nearest signed integer"><code>++toi:rh</code></a>
1240<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#tos-rh' title="Convert half-precision float to single-precision float"><code>++tos:rh</code></a>
1242<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rs'><code>++rs</code></a>
1243<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-rs' title="Add (single-precision float)"><code>++add:rs</code></a>
1244<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-rs' title="fn to single-precision float"><code>++bit:rs</code></a>
1245<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-rs' title="Divide (single-precision float)"><code>++div:rs</code></a>
1246<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-rs' title="@rs to decimal float"><code>++drg:rs</code></a>
1247<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-rs' title="Equals (single-precision float)"><code>++equ:rs</code></a>
1248<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-rs' title="Exponent (@rs)"><code>++exp:rs</code></a>
1249<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-rs' title="Fused multiply-add (single-precision float)"><code>++fma:rs</code></a>
1250<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-rs' title="Decimal float to @rs"><code>++grd:rs</code></a>
1251<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-rs' title="Greater than / equal (single-precision float)"><code>++gte:rs</code></a>
1252<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-rs' title="Greater than (single-precision float)"><code>++gth:rs</code></a>
1253<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-rs' title="Less than / equal (single-precision float)"><code>++lte:rs</code></a>
1254<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-rs' title="Less than (single-precision float)"><code>++lth:rs</code></a>
1255<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ma-rs' title="Initialize ff (rs core)"><code>++ma:rs</code></a>
1256<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-rs' title="Multiply (single-precision float)"><code>++mul:rs</code></a>
1257<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-rs' title="Signed integer to @rs"><code>++san:rs</code></a>
1258<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-rs' title="Convert from single-precision float to fn"><code>++sea:rs</code></a>
1259<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-rs' title="Produce sign of @rs"><code>++sig:rs</code></a>
1260<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-rs' title="Produce square root of single-precision float"><code>++sqt:rs</code></a>
1261<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-rs' title="Subtract from single-precision float"><code>++sub:rs</code></a>
1262<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-rs' title="Unsigned integer to single-precision float"><code>++sun:rs</code></a>
1263<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toi-rs' title="Round single-precision float to nearest signed integer"><code>++toi:rs</code></a>
1265<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rq'><code>++rq</code></a>
1266<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-rq' title="Add (quad-precision float)"><code>++add:rq</code></a>
1267<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-rq' title="fn to quad-precision float"><code>++bit:rq</code></a>
1268<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-rq' title="Divide (quad-precision float)"><code>++div:rq</code></a>
1269<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-rq' title="@rq to decimal float"><code>++drg:rq</code></a>
1270<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-rq' title="Equals (quad-precision float)"><code>++equ:rq</code></a>
1271<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-rq' title="Exponent (quad-precision float)"><code>++exp:rq</code></a>
1272<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-rq' title="Fused multiply-add (quad-precision float)"><code>++fma:rq</code></a>
1273<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-rq' title="Decimal float to @rq"><code>++grd:rq</code></a>
1274<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-rq' title="Greater than / equal (quad-precision float)"><code>++gte:rq</code></a>
1275<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-rq' title="Greater than (quad-precision float)"><code>++gth:rq</code></a>
1276<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-rq' title="Less than / equal (quad-precision float)"><code>++lte:rq</code></a>
1277<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-rq' title="Less than (quad-precision float)"><code>++lth:rq</code></a>
1278<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ma-rq' title="Initialize ff (rq core)"><code>++ma:rq</code></a>
1279<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-rq' title="Multiply (quad-precision float)"><code>++mul:rq</code></a>
1280<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-rq' title="Signed integer to @rq"><code>++san:rq</code></a>
1281<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-rq' title="Convert from quad-precision float to fn"><code>++sea:rq</code></a>
1282<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-rq' title="Produce sign of quad-precision float"><code>++sig:rq</code></a>
1283<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-rq' title="Produce square root of quad-precision float"><code>++sqt:rq</code></a>
1284<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-rq' title="Subtract from quad-precision float"><code>++sub:rq</code></a>
1285<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-rq' title="Unsigned integer to quad-precision float"><code>++sun:rq</code></a>
1286<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toi-rq' title="Round quad-precision float to nearest signed integer"><code>++toi:rq</code></a>
1288<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rlyd'><code>++rlyd</code></a>
1289<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rlyh'><code>++rlyh</code></a>
1290<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rlyq'><code>++rlyq</code></a>
1291<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rlys'><code>++rlys</code></a>
1292<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ryld'><code>++ryld</code></a>
1293<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rylh'><code>++rylh</code></a>
1294<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rylq'><code>++rylq</code></a>
1295<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ryls'><code>++ryls</code></a>
1299<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yo' title="Time constants core"><code>++yo</code></a>
1300<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#cet-yo' title="Days in a century"><code>++cet:yo</code></a>
1301<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#day-yo' title="Seconds in day"><code>++day:yo</code></a>
1302<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#era-yo' title="Leap-year period"><code>++era:yo</code></a>
1303<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#hor-yo' title="Seconds in hour"><code>++hor:yo</code></a>
1304<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#jes-yo' title="Maximum 64-bit timestamp"><code>++jes:yo</code></a>
1305<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#mit-yo' title="Seconds in minute"><code>++mit:yo</code></a>
1306<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#moh-yo' title="Days in month"><code>++moh:yo</code></a>
1307<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#moy-yo' title="Days in months of leap-year"><code>++moy:yo</code></a>
1308<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#qad-yo' title="Seconds in 4 years"><code>++qad:yo</code></a>
1309<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yer-yo' title="Seconds in year"><code>++yer:yo</code></a>
1311<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yall' title="Time since beginning of time"><code>++yall</code></a>
1312<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yawn' title="Days since beginning of time"><code>++yawn</code></a>
1313<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#year' title="Date to @d"><code>++year</code></a>
1314<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yell' title="Tarp from atomic date"><code>++yell</code></a>
1315<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yelp' title="Determine if leap-week"><code>++yelp</code></a>
1316<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yore' title="Date from atomic date"><code>++yore</code></a>
1317<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yule' title="Daily time to time atom"><code>++yule</code></a>
1319### 3d: SHA hash family
1321<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#og' title="Container arm for SHA-256 powered RNG"><code>++og</code></a>
1322<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#rad-og' title="Random in range"><code>++rad:og</code></a>
1323<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#rads-og' title="Random continuation"><code>++rads:og</code></a>
1324<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#raw-og' title="Random bits"><code>++raw:og</code></a>
1325<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#raws-og' title="Random bits continuation"><code>++raws:og</code></a>
1327<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shad' title="Double SHA-256"><code>++shad</code></a>
1328<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaf' title="Half SHA-256"><code>++shaf</code></a>
1329<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shal' title="SHA-512 with length"><code>++shal</code></a>
1330<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#sham' title="128-bit noun hash"><code>++sham</code></a>
1331<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shan' title="SHA-1"><code>++shan</code></a>
1332<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shas' title="Salted hash"><code>++shas</code></a>
1333<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaw' title="Hash to nbits"><code>++shaw</code></a>
1334<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shax' title="SHA-256"><code>++shax</code></a>
1335<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shay' title="SHA-256 with length"><code>++shay</code></a>
1336<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaz' title="SHA-512"><code>++shaz</code></a>
1338### 3e: AES encryption
1340<a href='/docs/hoon/reference/stdlib/3e/'>_(removed)_</a>
1344<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#ob' title="Reversible scrambling v2"><code>++ob</code></a>
1345<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#feen-ob' title="Conceal structure v2"><code>++feen:ob</code></a>
1346<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#fend-ob' title="Restore structure v2"><code>++fend:ob</code></a>
1347<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#fice-ob' title="Feistel-like cipher"><code>++fice:ob</code></a>
1348<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#raku-ob' title="Key list"><code>++raku:ob</code></a>
1349<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#rund-ob' title="Reverse single Feistel-like"><code>++rund:ob</code></a>
1350<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#rynd-ob' title="Reverse Feistel-like cipher"><code>++rynd:ob</code></a>
1351<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#teil-ob' title="Reverse Feistel-like cipher"><code>++teil:ob</code></a>
1353<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#un' title="Reversible scrambling"><code>++un</code></a>
1354<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#wred-un' title="Restore structure"><code>++wred:un</code></a>
1355<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#wren-un' title="Conceal structure"><code>++wren:un</code></a>
1356<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#xafo-un'><code>++xafo:un</code></a>
1357<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#xaro-un'><code>++xaro:un</code></a>
1358<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zaft-un' title="Look up in 255 sub box"><code>++zaft:un</code></a>
1359<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zart-un' title="Reverse look up in 255 sub box"><code>++zart:un</code></a>
1360<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zyft-un' title="Lookup byte in 256 sub box"><code>++zyft:un</code></a>
1361<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zyrt-un' title="Reverse lookup byte in 256 sub box"><code>++zyrt:un</code></a>
1363### 3g: molds and mold builders
1365<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#coin' title="Noun-literal syntax cases"><code>++coin</code></a>
1366<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#dime' title="Aura-atom pair"><code>++dime</code></a>
1367<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#edge' title="Parsing location metadata"><code>++edge</code></a>
1368<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#hair' title="Parsing line and column"><code>++hair</code></a>
1369<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#like' title="Generic edge"><code>++like</code></a>
1370<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#nail' title="Location, remainder of parsed text"><code>++nail</code></a>
1371<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#path' title="Filesystem path"><code>++path</code></a>
1372<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#pint' title="Parsing range"><code>++pint</code></a>
1373<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#rule' title="Parsing rule (match this with _)"><code>++rule</code></a>
1374<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#spot' title="Stack trace line"><code>++spot</code></a>
1375<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#tone' title="Nock result (error report)"><code>++tone</code></a>
1376<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#toon' title="Nock result (stack trace)"><code>++toon</code></a>
1377<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#wonk' title="Product from edge"><code>++wonk</code></a>
1381<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#po' title="Phonetic base"><code>++po</code></a>
1382<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#ind-po' title="Parse suffix"><code>++ind:po</code></a>
1383<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#ins-po' title="Parse prefix"><code>++ins:po</code></a>
1384<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#tod-po' title="Fetch suffix"><code>++tod:po</code></a>
1385<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#tos-po' title="Fetch prefix"><code>++tos:po</code></a>
1387### 4b: text processing
1389<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#at' title="(Undocumented)"><code>++at</code></a>
1390<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#r-at' title="(Undocumented)"><code>++r:at</code></a>
1391<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rf-at' title="(Undocumented)"><code>++rf:at</code></a>
1392<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rn-at' title="(Undocumented)"><code>++rn:at</code></a>
1393<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rt-at' title="(Undocumented)"><code>++rt:at</code></a>
1394<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rta-at' title="(Undocumented)"><code>++rta:at</code></a>
1395<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rtam-at' title="(Undocumented)"><code>++rtam:at</code></a>
1396<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rub-at' title="(Undocumented)"><code>++rub:at</code></a>
1397<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rud-at' title="(Undocumented)"><code>++rud:at</code></a>
1398<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rum-at' title="(Undocumented)"><code>++rum:at</code></a>
1399<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rup-at' title="(Undocumented)"><code>++rup:at</code></a>
1400<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#ruv-at' title="(Undocumented)"><code>++ruv:at</code></a>
1401<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rux-at' title="(Undocumented)"><code>++rux:at</code></a>
1403<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#cass' title="To lowercase"><code>++cass</code></a>
1404<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#crip' title="Tape to cord"><code>++crip</code></a>
1405<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#cuss' title="To uppercase"><code>++cuss</code></a>
1406<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#mesc' title="Escape special characters"><code>++mesc</code></a>
1407<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#runt' title="Prepend n times"><code>++runt</code></a>
1408<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#sand' title="Soft-cast by aura"><code>++sand</code></a>
1409<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#sane' title="Check aura validity"><code>++sane</code></a>
1410<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#teff' title="UTF-8 length"><code>++teff</code></a>
1411<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#trim' title="Tape split"><code>++trim</code></a>
1412<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#trip' title="Cord to tape"><code>++trip</code></a>
1413<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tuba' title="UTF-8 to UTF-32 tape"><code>++tuba</code></a>
1414<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tufa' title="UTF-32 to UTF-8 tape"><code>++tufa</code></a>
1415<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tuft' title="UTF-32 to UTF-8 text"><code>++tuft</code></a>
1416<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#turf' title="UTF-8 to UTF-32 cord"><code>++turf</code></a>
1417<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wack' title="Coin format encode"><code>++wack</code></a>
1418<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wick' title="Coin format decode"><code>++wick</code></a>
1419<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#woad' title="Unescape cord"><code>++woad</code></a>
1420<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wood' title="Escape cord"><code>++wood</code></a>
1424<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#re' title="Pretty-printing engine (tank)"><code>++re</code></a>
1425<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#din-re' title="(Undocumented)"><code>++din:re</code></a>
1426<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#fit-re' title="Fit on one line test"><code>++fit:re</code></a>
1427<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#ram-re' title="Flatten tank to tape"><code>++ram:re</code></a>
1428<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#rig-re' title="Wrap tape in / (tank)"><code>++rig:re</code></a>
1429<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#wig-re' title="++win - render tape"><code>++wig:re</code></a>
1430<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#win-re' title="Render at indent"><code>++win:re</code></a>
1432<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#shep' title="(Undocumented)"><code>++shep</code></a>
1433<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#shop' title="(Undocumented)"><code>++shop</code></a>
1434<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#show' title="(Undocumented)"><code>++show</code></a>
1436### 4d: parsing (tracing)
1438<a class="tooltip" href='/docs/hoon/reference/stdlib/4d/#last' title="Further trace"><code>++last</code></a>
1439<a class="tooltip" href='/docs/hoon/reference/stdlib/4d/#lust' title="Detect new line"><code>++lust</code></a>
1441### 4e: parsing (combinators)
1443<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#bend' title="Conditional composer"><code>++bend</code></a>
1444<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#comp' title="Arbitrary compose"><code>++comp</code></a>
1445<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#fail' title="Never parse"><code>++fail</code></a>
1446<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#glue' title="Skip delimiter"><code>++glue</code></a>
1447<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#less' title="Parse unless"><code>++less</code></a>
1448<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#pfix' title="Discard first rule"><code>++pfix</code></a>
1449<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#plug' title="Parse to tuple"><code>++plug</code></a>
1450<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#pose' title="Parse options"><code>++pose</code></a>
1451<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#sfix' title="Discard second rule"><code>++sfix</code></a>
1452<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#simu' title="First and second"><code>++simu</code></a>
1454### 4f: parsing (rule builders)
1456<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#bass' title="Parser modifier (LSB-ordered ++list as atom of ++base)"><code>++bass</code></a>
1457<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#boss' title="Parser modifier: LSB"><code>++boss</code></a>
1458<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#cold' title="Replace with constant"><code>++cold</code></a>
1459<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#cook' title="Apply gate"><code>++cook</code></a>
1460<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#easy' title="Always parse"><code>++easy</code></a>
1461<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#full' title="Parse to end"><code>++full</code></a>
1462<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#funk' title="Add to tape"><code>++funk</code></a>
1463<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#here' title="Place-based apply"><code>++here</code></a>
1464<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#ifix' title="Infix"><code>++ifix</code></a>
1465<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#jest' title="Match a cord"><code>++jest</code></a>
1466<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#just' title="Match a single character"><code>++just</code></a>
1467<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#knee' title="Recursive parsers"><code>++knee</code></a>
1468<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#mask' title="Match character"><code>++mask</code></a>
1469<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#more' title="Parse list with delimiter"><code>++more</code></a>
1470<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#most' title="Parse list of at least one match"><code>++most</code></a>
1471<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#next' title="Consume character"><code>++next</code></a>
1472<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#plus' title="List of at least one match"><code>++plus</code></a>
1473<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#sear' title="Conditional ++cook"><code>++sear</code></a>
1474<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#shim' title="Match character within range"><code>++shim</code></a>
1475<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#slug' title="Use gate to parse delimited list"><code>++slug</code></a>
1476<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stag' title="Add label"><code>++stag</code></a>
1477<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#star' title="Produce list of matches"><code>++star</code></a>
1478<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stet' title="Add faces to range-parser pairs in list"><code>++stet</code></a>
1479<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stew' title="Switch by first"><code>++stew</code></a>
1480<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stir' title="Parse repeatedly"><code>++stir</code></a>
1481<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stun' title="Parse several times"><code>++stun</code></a>
1483### 4g: parsing (outside caller)
1485<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rash' title="Parse or crash"><code>++rash</code></a>
1486<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rush' title="Parse or null"><code>++rush</code></a>
1487<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rust' title="Parse tape or null"><code>++rust</code></a>
1488<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#scan' title="Parse tape or crash"><code>++scan</code></a>
1490### 4h: parsing (ascii glyphs)
1492<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ace' title="Parse space"><code>++ace</code></a>
1493<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#bar' title="Parse | (bar)"><code>++bar</code></a>
1494<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#bas' title="Parse \ (bas)"><code>++bas</code></a>
1495<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#buc' title="Parse $ (buc)"><code>++buc</code></a>
1496<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#cab' title="Parse _ (cab)"><code>++cab</code></a>
1497<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#cen' title="Parse % (cen)"><code>++cen</code></a>
1498<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#col' title="Parse : (col)"><code>++col</code></a>
1499<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#com' title="Parse , (comma)"><code>++com</code></a>
1500<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#doq' title="Parse double quote"><code>++doq</code></a>
1501<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#dot' title="Parse period"><code>++dot</code></a>
1502<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#fas' title="Parse / (fas)"><code>++fas</code></a>
1503<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#gal' title="Parse < (gal)"><code>++gal</code></a>
1504<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#gar' title="Parse > (gar)"><code>++gar</code></a>
1505<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#hax' title="Parse # (hax)"><code>++hax</code></a>
1506<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#hep' title="Parse - (hep)"><code>++hep</code></a>
1507<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#kel' title="Parse { (kel)"><code>++kel</code></a>
1508<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ker' title="Parse } (ker)"><code>++ker</code></a>
1509<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ket' title="Parse ^ (ket)"><code>++ket</code></a>
1510<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#lus' title="Parse + (lus)"><code>++lus</code></a>
1511<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#pam' title="Parse & (pam)"><code>++pam</code></a>
1512<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#pat' title="Parse @ (pat)"><code>++pat</code></a>
1513<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#pel' title="Parse ( (pel)"><code>++pel</code></a>
1514<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#per' title="Parse ) (per)"><code>++per</code></a>
1515<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#sel' title="Parse [ (sel)"><code>++sel</code></a>
1516<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#sem' title="Parse ; (sem)"><code>++sem</code></a>
1517<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ser' title="Parse ] (ser)"><code>++ser</code></a>
1518<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#sig' title="Parse ~ (sig)"><code>++sig</code></a>
1519<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#soq' title="Parse ' (soq)"><code>++soq</code></a>
1520<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#tar' title="Parse * (tar)"><code>++tar</code></a>
1521<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#tec' title="Parse ` (tec)"><code>++tec</code></a>
1522<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#tis' title="Parse = (tis)"><code>++tis</code></a>
1523<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#wut' title="Parse ? (wut)"><code>++wut</code></a>
1524<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#zap' title="Parse ! (zap)"><code>++zap</code></a>
1526### 4i: parsing (useful idioms)
1528<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#alf' title="Parse alphabetic characters"><code>++alf</code></a>
1529<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#aln' title="Parse alphanumeric characters"><code>++aln</code></a>
1530<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#alp' title="Parse alphanumeric characters and -"><code>++alp</code></a>
1531<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#bet' title="Parse hep and lus axis syntax"><code>++bet</code></a>
1532<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#bin' title="Binary to atom"><code>++bin</code></a>
1533<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#but' title="Parse binary digit"><code>++but</code></a>
1534<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#cit' title="Octal digit"><code>++cit</code></a>
1535<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dem' title="Decimal to atom"><code>++dem</code></a>
1536<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dit' title="Decimal digit"><code>++dit</code></a>
1537<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dog' title="Optional gap"><code>++dog</code></a>
1538<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#doh' title="@p separator"><code>++doh</code></a>
1539<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dun' title="-- to ~"><code>++dun</code></a>
1540<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#duz' title="== to ~"><code>++duz</code></a>
1541<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gah' title="New line or ''"><code>++gah</code></a>
1542<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gap' title="Plural whitespace"><code>++gap</code></a>
1543<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gaq' title="End of line"><code>++gaq</code></a>
1544<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gaw' title="Classic whitespace"><code>++gaw</code></a>
1545<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gay' title="Optional gap"><code>++gay</code></a>
1546<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gon' title="Parse long numbers"><code>++gon</code></a>
1547<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gul' title="Axis syntax < or >"><code>++gul</code></a>
1548<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#hex' title="Hexadecimal to atom"><code>++hex</code></a>
1549<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#hig' title="Parse single uppercase letter"><code>++hig</code></a>
1550<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#hit' title="Parse single hexadecimal digit"><code>++hit</code></a>
1551<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#iny' title="Indentation block"><code>++iny</code></a>
1552<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#low' title="Parse lowercase letter"><code>++low</code></a>
1553<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#mes' title="Parse hexabyte"><code>++mes</code></a>
1554<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#nix' title="Parse letters and -"><code>++nix</code></a>
1555<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#nud' title="Parse numeric character"><code>++nud</code></a>
1556<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#prn' title="Parse any printable character"><code>++prn</code></a>
1557<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#qit' title="Parse character to cord atom"><code>++qit</code></a>
1558<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#qut' title="Parse cord"><code>++qut</code></a>
1559<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#soz' title="Parse triple single-quote"><code>++soz</code></a>
1560<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#sym' title="Term"><code>++sym</code></a>
1561<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#ven' title="Axis syntax parser"><code>++ven</code></a>
1562<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#vit' title="Parse base 64 digit"><code>++vit</code></a>
1563<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#vul' title="Comments to null"><code>++vul</code></a>
1565### 4j: parsing (bases and base digits)
1567<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ab' title="Primitive parser engine"><code>++ab</code></a>
1568<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bix-ab' title="Parse hex pair"><code>++bix:ab</code></a>
1569<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hif-ab' title="Parse phonetic pair"><code>++hif:ab</code></a>
1570<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#huf-ab' title="Parse two phonetic pairs"><code>++huf:ab</code></a>
1571<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hyf-ab' title="Parse 8 phonetic bytes"><code>++hyf:ab</code></a>
1572<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pev-ab' title="Parse <=5 in base 32"><code>++pev:ab</code></a>
1573<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pew-ab' title="Parse <= 5 in base 64"><code>++pew:ab</code></a>
1574<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#piv-ab' title="Parse 5 digits in base 32"><code>++piv:ab</code></a>
1575<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#piw-ab' title="Parse 5 digits in base 64"><code>++piw:ab</code></a>
1576<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qeb-ab' title="Parse <=4 binary digits"><code>++qeb:ab</code></a>
1577<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qex-ab' title="Parse <=4 hexadecimal digits"><code>++qex:ab</code></a>
1578<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qib-ab' title="Parse 4 binary digits"><code>++qib:ab</code></a>
1579<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qix-ab' title="Parse 4 hexadecimal digits"><code>++qix:ab</code></a>
1580<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#seb-ab' title="Parse 1"><code>++seb:ab</code></a>
1581<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sed-ab' title="Parse non-zero decimal digit"><code>++sed:ab</code></a>
1582<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sev-ab' title="Parse non-zero base 32 digit"><code>++sev:ab</code></a>
1583<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sew-ab' title="Parse non-zero base 64 digit"><code>++sew:ab</code></a>
1584<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sex-ab' title="Parse nonzero hexadecimal digit"><code>++sex:ab</code></a>
1585<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sib-ab' title="Parse binary digit"><code>++sib:ab</code></a>
1586<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sid-ab' title="Parse decimal digit"><code>++sid:ab</code></a>
1587<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#siv-ab' title="Parse a base 32 digit"><code>++siv:ab</code></a>
1588<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#siw-ab' title="Parse a base 64 digit"><code>++siw:ab</code></a>
1589<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#six-ab' title="Parse a hexadecimal digit"><code>++six:ab</code></a>
1590<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sov-ab' title="Parse base 32 letter"><code>++sov:ab</code></a>
1591<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sow-ab' title="Parse base 64 letter/symbol"><code>++sow:ab</code></a>
1592<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sox-ab' title="Parse hexadecimal letter"><code>++sox:ab</code></a>
1593<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ted-ab' title="Parse decimal number with <= 3 digits"><code>++ted:ab</code></a>
1594<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tid-ab' title="Parse 3 decimal digits"><code>++tid:ab</code></a>
1595<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#til-ab' title="Parse 3 lowercase letters"><code>++til:ab</code></a>
1596<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tip-ab' title="Leading phonetic byte"><code>++tip:ab</code></a>
1597<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tiq-ab' title="Trailing phonetic syllable"><code>++tiq:ab</code></a>
1598<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#urs-ab' title="Parse span characters"><code>++urs:ab</code></a>
1599<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#urt-ab' title="Parse non-_ span"><code>++urt:ab</code></a>
1600<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#voy-ab' title="Parse bas, soq, or bix"><code>++voy:ab</code></a>
1602<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ag' title="Top-level atom parser engine"><code>++ag</code></a>
1603<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ape-ag' title="Parse 0 or rule"><code>++ape:ag</code></a>
1604<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bay-ag' title="Parses binary number"><code>++bay:ag</code></a>
1605<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bip-ag' title="Parse IPv6"><code>++bip:ag</code></a>
1606<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dem-ag' title="Parse decmal with dots"><code>++dem:ag</code></a>
1607<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dim-ag' title="Parse decimal number"><code>++dim:ag</code></a>
1608<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dum-ag' title="Parse decimal with leading zero"><code>++dum:ag</code></a>
1609<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#fed-ag' title="Parse @p"><code>++fed:ag</code></a>
1610<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hex-ag' title="Parse hexadecimal number"><code>++hex:ag</code></a>
1611<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#lip-ag' title="Parse IPv4 address"><code>++lip:ag</code></a>
1612<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#viz-ag' title="Parse base 32 digit with dot separators"><code>++viz:ag</code></a>
1613<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#vum-ag' title="Parse base 32 string"><code>++vum:ag</code></a>
1614<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#wiz-ag' title="Parse base 64 number"><code>++wiz:ag</code></a>
1616<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#mu' title="Core used to scramble 16-bit atoms"><code>++mu</code></a>
1617<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zag-mu' title="Add bottom into top"><code>++zag:mu</code></a>
1618<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zig-mu' title="Subtract bottom from top"><code>++zig:mu</code></a>
1619<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zug-mu' title="Concatenate into atom"><code>++zug:mu</code></a>
1621<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ne' title="Digit rendering engine"><code>++ne</code></a>
1622<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#d-ne' title="Render decimal"><code>++d:ne</code></a>
1623<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#v-ne' title="Render base 32"><code>++v:ne</code></a>
1624<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#w-ne' title="Render base 64 digit"><code>++w:ne</code></a>
1625<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#x-ne' title="Render hexadecimal digit as atom of ASCII byte value"><code>++x:ne</code></a>
1627### 4k: parsing (atom printing)
1629<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#co' title="Literal rendering engine"><code>++co</code></a>
1630<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rear-co' title="Prepend and render atom as tape"><code>++rear:co</code></a>
1631<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rend-co' title="Render coin lot as tape"><code>++rend:co</code></a>
1632<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rent-co' title="Render coin lot as span"><code>++rent:co</code></a>
1634### 4l: parsing (atom parsing)
1636<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#so' title="Coin parser engine"><code>++so</code></a>
1637<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#bisk-so' title="Parse aura-atom pair"><code>++bisk:so</code></a>
1638<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#crub-so' title="Parse @da, @dr, @p, @t"><code>++crub:so</code></a>
1639<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#nuck-so' title="Top-level coin parser"><code>++nuck:so</code></a>
1640<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#nusk-so' title="Parse coin literal with escapes"><code>++nusk:so</code></a>
1641<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#perd-so' title="Parses dime/tiple without standard prefixes"><code>++perd:so</code></a>
1642<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-so' title="Parse dime float"><code>++royl:so</code></a>
1643<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-cell-so' title="(Undocumented)"><code>++royl-cell:so</code></a>
1644<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#tash-so' title="Parse signed dime"><code>++tash:so</code></a>
1645<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#twid-so' title="Parse coins without ~ prefix"><code>++twid:so</code></a>
1646<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#zust-so' title="Parse prefixed dimes from IP, loobean, or floating point"><code>++zust:so</code></a>
1648### 4m: parsing (formatting functions)
1650<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#scot' title="Render dime as cord"><code>++scot</code></a>
1651<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#scow' title="Render dime as tape"><code>++scow</code></a>
1652<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#slat' title="Curried slaw"><code>++slat</code></a>
1653<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#slav' title="Demand: parse cord with input aura"><code>++slav</code></a>
1654<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#slaw' title="Parse cord to input aura"><code>++slaw</code></a>
1655<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#slay' title="Parse cord to coin"><code>++slay</code></a>
1656<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#smyt' title="Render path as tank"><code>++smyt</code></a>
1657<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#spat' title="Render path as cord"><code>++spat</code></a>
1658<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#spud' title="Render path as tape"><code>++spud</code></a>
1659<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#stab' title="Parse cord to path"><code>++stab</code></a>
1661### 4n: parsing (virtualization)
1663<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mack' title="Nock subject to unit"><code>++mack</code></a>
1664<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mink' title="Mock (virtual Nock) interpreter"><code>++mink</code></a>
1665<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mock' title="Compute formula on subject with hint"><code>++mock</code></a>
1666<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mong' title="Slam gate with sample"><code>++mong</code></a>
1667<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mook' title="Intelligently render crash annotation"><code>++mook</code></a>
1668<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mule' title="Typed virtual"><code>++mule</code></a>
1669<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mute' title="Untyped virtual"><code>++mute</code></a>
1671### 4o: parsing (molds)
1673<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#abel' title="Compiler alias"><code>++abel</code></a>
1674<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#aura' title="'Type' of atom"><code>++aura</code></a>
1675<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#axis' title="Nock axis"><code>++axis</code></a>
1676<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#base' title="Base type"><code>++base</code></a>
1677<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#bean' title="Boolean"><code>++bean</code></a>
1678<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#beer' title="Tape builder"><code>++beer</code></a>
1679<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#beet' title="XML interpolation cases"><code>++beet</code></a>
1680<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#chum' title="Jet hint information"><code>++chum</code></a>
1681<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#coil' title="Tuple of core information"><code>++coil</code></a>
1682<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#foot' title="Cases of arms by variance model"><code>++foot</code></a>
1683<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#limb' title="Reference into subject by name/axis"><code>++limb</code></a>
1684<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#line' title="(Undocumented)"><code>++line</code></a>
1685<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#metl' title="(Undocumented)"><code>++metl</code></a>
1686<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#nock' title="Virtual machine (see Nock)"><code>++nock</code></a>
1687<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#noun' title="(Undocumented)"><code>++noun</code></a>
1688<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#null' title="(Undocumented)"><code>++null</code></a>
1689<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#port' title="(Undocumented)"><code>++port</code></a>
1690<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#span' title="ASCII atom"><code>++span</code></a>
1691<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tiki' title="(Undocumented)"><code>++tiki</code></a>
1692<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#toga' title="Tree of faces"><code>++toga</code></a>
1693<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tone'><code>++tone</code></a>
1694<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tuna' title="XML template tree"><code>++tuna</code></a>
1695<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tusk' title="List of expressions"><code>++tusk</code></a>
1696<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tyke' title="List of 'maybe' hoons"><code>++tyke</code></a>
1697<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#typo' title="Pointer for ++type"><code>++typo</code></a>
1698<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tyre' title="List, term hoon"><code>++tyre</code></a>
1699<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#vase' title="Typed data"><code>++vase</code></a>
1700<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#vise' title="Convert during reboot"><code>++vise</code></a>
1701<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#wing' title="Address in subject"><code>++wing</code></a>
1703### 5a: compiler utilities
1705<a class="tooltip" href='/docs/hoon/reference/stdlib/5a/'>_(To be documented)_</a>
1707### 5b: macro expansion
1709<a class="tooltip" href='/docs/hoon/reference/stdlib/5b/'>_(To be documented)_</a>
1711### 5c: compiler backend and prettyprinter
1713<a class="tooltip" href='/docs/hoon/reference/stdlib/5c/'>_(To be documented)_</a>
1717<a class="tooltip" href='/docs/hoon/reference/stdlib/5d/'>_(To be documented)_</a>
1719### 5e: caching compiler
1721<a class="tooltip" href='/docs/hoon/reference/stdlib/5e/'>_(To be documented)_</a>
1723### 5f: molds and mold builders
1725<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#mane'><code>++mane</code></a>
1726<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#manx'><code>++manx</code></a>
1727<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#marl'><code>++marl</code></a>
1728<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#mars'><code>++mars</code></a>
1729<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#mart'><code>++mart</code></a>
1730<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#marx'><code>++marx</code></a>
1731<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#pass'><code>++pass</code></a>
1732<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#ring'><code>++ring</code></a>
1733<a class="tooltip" href='/docs/hoon/reference/stdlib/5f/#time'><code>++time</code></a>
1735### 5g: profiling support
1737<a class="tooltip" href='/docs/hoon/reference/stdlib/5g/'>_(To be documented)_</a>
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