@@ -14,63 +14,63 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
1414### a
1515
1616<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ab' title="Primitive parser engine"><code>++ab</code></a>
17−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#abs-fl' title="Absolute value"><code>++abs:fl</code></a>
18−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#abs-si' title="Absolute value (signed integer)"><code>++abs:si</code></a>
17+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#absfl' title="Absolute value"><code>++abs:fl</code></a>
18+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#abssi' title="Absolute value (signed integer)"><code>++abs:si</code></a>
1919<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#abel' title="Compiler alias"><code>++abel</code></a>
2020<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ace' title="Parse space"><code>++ace</code></a>
2121<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#add' title="Add"><code>++add</code></a>
22−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-ff' title="Add (floating point)"><code>++add:ff</code></a>
23−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-fl' title="Add (with exact/rounded flag)"><code>++add:fl</code></a>
24−<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#add-ja' title="Prepend to list"><code>++add:ja</code></a>
25−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-rd' title="Add (double-precision float)"><code>++add:rd</code></a>
26−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-rh' title="Add (half-precision float)"><code>++add:rh</code></a>
27−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-rs' title="Add (single-precision float)"><code>++add:rs</code></a>
28−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-rq' title="Add (quad-precision float)"><code>++add:rq</code></a>
29−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ag' title="Top-level atom parser engine"><code>++ag</code></a>
22+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addff' title="Add (floating point)"><code>++add:ff</code></a>
23+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addfl' title="Add (with exact/rounded flag)"><code>++add:fl</code></a>
24+<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#addja' title="Prepend to list"><code>++add:ja</code></a>
25+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addrd' title="Add (doubleprecision float)"><code>++add:rd</code></a>
26+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addrh' title="Add (halfprecision float)"><code>++add:rh</code></a>
27+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addrs' title="Add (singleprecision float)"><code>++add:rs</code></a>
28+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addrq' title="Add (quadprecision float)"><code>++add:rq</code></a>
29+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ag' title="Toplevel atom parser engine"><code>++ag</code></a>
3030<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#alf' title="Parse alphabetic characters"><code>++alf</code></a>
31−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#all-by' title="Logical AND (map and wet gate)"><code>++all:by</code></a>
32−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#all-in' title="Logical AND (set and wet gate)"><code>++all:in</code></a>
31+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#allby' title="Logical AND (map and wet gate)"><code>++all:by</code></a>
32+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#allin' title="Logical AND (set and wet gate)"><code>++all:in</code></a>
3333<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#aln' title="Parse alphanumeric characters"><code>++aln</code></a>
34−<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#alp' title="Parse alphanumeric characters and -"><code>++alp</code></a>
35−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#any-by' title="Logical OR (map and wet gate)"><code>++any:by</code></a>
36−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#any-in' title="Logical OR (set and gate)"><code>++any:in</code></a>
34+<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#alp' title="Parse alphanumeric characters and "><code>++alp</code></a>
35+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#anyby' title="Logical OR (map and wet gate)"><code>++any:by</code></a>
36+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#anyin' title="Logical OR (set and gate)"><code>++any:in</code></a>
3737<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#aor' title="Alphabetical order"><code>++aor</code></a>
38−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ape-ag' title="Parse 0 or rule"><code>++ape:ag</code></a>
39−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#apt-by' title="Check correctness (map)"><code>++apt:by</code></a>
40−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#apt-in' title="Check correctness (set)"><code>++apt:in</code></a>
38+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#apeag' title="Parse 0 or rule"><code>++ape:ag</code></a>
39+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#aptby' title="Check correctness (map)"><code>++apt:by</code></a>
40+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#aptin' title="Check correctness (set)"><code>++apt:in</code></a>
4141<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#at' title="(Undocumented)"><code>++at</code></a>
4242<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#aura' title="'Type' of atom"><code>++aura</code></a>
4343<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#axis' title="Nock axis"><code>++axis</code></a>
4444
4545### b
4646
47−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#bal-to' title="Balance queue"><code>++bal:to</code></a>
47+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#balto' title="Balance queue"><code>++bal:to</code></a>
4848<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#bar' title="Parse | (bar)"><code>++bar</code></a>
4949<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#bas' title="Parse \ (bas)"><code>++bas</code></a>
5050<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#base' title="Base type"><code>++base</code></a>
51−<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#bass' title="Parser modifier (LSB-ordered ++list as atom of ++base)"><code>++bass</code></a>
52−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bay-ag' title="Parses binary number"><code>++bay:ag</code></a>
51+<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#bass' title="Parser modifier (LSBordered ++list as atom of ++base)"><code>++bass</code></a>
52+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bayag' title="Parses binary number"><code>++bay:ag</code></a>
5353<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#bean' title="Boolean"><code>++bean</code></a>
5454<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#beer' title="Tape builder"><code>++beer</code></a>
5555<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#beet' title="XML interpolation cases"><code>++beet</code></a>
5656<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#bend' title="Conditional composer"><code>++bend</code></a>
5757<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#bet' title="Parse hep and lus axis syntax"><code>++bet</code></a>
5858<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#bex' title="Binary exponent"><code>++bex</code></a>
59−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bif-ff' title="Converts from fn to @r"><code>++bif:ff</code></a>
60−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#bif-by' title="Bifurcate map"><code>++bif:by</code></a>
61−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#bif-in' title="Bifurcate set"><code>++bif:in</code></a>
59+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bifff' title="Converts from fn to @r"><code>++bif:ff</code></a>
60+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#bifby' title="Bifurcate map"><code>++bif:by</code></a>
61+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#bifin' title="Bifurcate set"><code>++bif:in</code></a>
6262<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#biff' title="Unit as argument"><code>++biff</code></a>
6363<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#bin' title="Binary to atom"><code>++bin</code></a>
64−<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#bind' title="Non-unit function to unit, producing unit"><code>++bind</code></a>
65−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bip-ag' title="Parse IPv6"><code>++bip:ag</code></a>
66−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-ff' title="fn to @r with rounding"><code>++bit:ff</code></a>
67−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-rd' title="fn to double-precision binary float"><code>++bit:rd</code></a>
68−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-rh' title="fn to half-precision float"><code>++bit:rh</code></a>
69−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-rs' title="fn to single-precision float"><code>++bit:rs</code></a>
70−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-rq' title="fn to quad-precision float"><code>++bit:rq</code></a>
64+<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#bind' title="Nonunit function to unit, producing unit"><code>++bind</code></a>
65+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bipag' title="Parse IPv6"><code>++bip:ag</code></a>
66+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitff' title="fn to @r with rounding"><code>++bit:ff</code></a>
67+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitrd' title="fn to doubleprecision binary float"><code>++bit:rd</code></a>
68+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitrh' title="fn to halfprecision float"><code>++bit:rh</code></a>
69+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitrs' title="fn to singleprecision float"><code>++bit:rs</code></a>
70+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitrq' title="fn to quadprecision float"><code>++bit:rq</code></a>
7171<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#bite' title="Atom slice specificier"><code>$bite</code></a>
72−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bix-ab' title="Parse hex pair"><code>++bix:ab</code></a>
73−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#bisk-so' title="Parse aura-atom pair"><code>++bisk:so</code></a>
72+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bixab' title="Parse hex pair"><code>++bix:ab</code></a>
73+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#biskso' title="Parse auraatom pair"><code>++bisk:so</code></a>
7474<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#bloq' title="Blocksize"><code>$bloq</code></a>
7575<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#bond' title="Replace null"><code>++bond</code></a>
7676<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#boss' title="Parser modifier: LSB"><code>++boss</code></a>
@@ -86,105 +86,105 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
8686<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#cass' title="To lowercase"><code>++cass</code></a>
8787<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#cat' title="Concatenate"><code>++cat</code></a>
8888<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>
89+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#cetyo' title="Days in a century"><code>++cet:yo</code></a>
9090<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#char' title="Character"><code>++char</code></a>
9191<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#chum' title="Jet hint information"><code>++chum</code></a>
9292<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#cit' title="Octal digit"><code>++cit</code></a>
9393<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>
94+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#cmpsi' title="Compare (signed integer)"><code>++cmp:si</code></a>
9595<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#co' title="Literal rendering engine"><code>++co</code></a>
9696<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>
97+<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#coin' title="Nounliteral syntax cases"><code>++coin</code></a>
9898<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#col' title="Parse : (col)"><code>++col</code></a>
9999<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#cold' title="Replace with constant"><code>++cold</code></a>
100100<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#com' title="Parse , (com)"><code>++com</code></a>
101101<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#comp' title="Arbitrary compose"><code>++comp</code></a>
102102<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#con' title="Binary OR"><code>++con</code></a>
103103<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>
104+<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#cord' title="UTF8 text"><code>++cord</code></a>
105105<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#cork' title="Compose forward"><code>++cork</code></a>
106106<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#corl' title="Compose backward"><code>++corl</code></a>
107107<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>
108+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#crubso' title="Parse @da, @dr, @p, @t"><code>++crub:so</code></a>
109109<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>
110+<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#curr' title="Rightcurry a gate"><code>++curr</code></a>
111111<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#cury' title="Curry left a gate"><code>++cury</code></a>
112112<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#cuss' title="To uppercase"><code>++cuss</code></a>
113113<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#cut' title="Slice"><code>++cut</code></a>
114114
115115### d
116116
117−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#d-ne' title="Render decimal"><code>++d:ne</code></a>
117+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dne' title="Render decimal"><code>++d:ne</code></a>
118118<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>
119+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#dayyo' title="Seconds in day"><code>++day:yo</code></a>
120120<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/#del-by' title="Delete (map)"><code>++del:by</code></a>
122−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#del-in' title="Delete (set)"><code>++del:in</code></a>
123−<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#del-ju' title="Delete (jug)"><code>++del:ju</code></a>
121+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#delby' title="Delete (map)"><code>++del:by</code></a>
122+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#delin' title="Delete (set)"><code>++del:in</code></a>
123+<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#delju' title="Delete (jug)"><code>++del:ju</code></a>
124124<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dem' title="Decimal to atom"><code>++dem</code></a>
125−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dem-ag' title="Parse decmal with dots"><code>++dem:ag</code></a>
126−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#den-fl' title="Denormalizes (floating point)"><code>++den:fl</code></a>
127−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#dep-to' title="Maximum depth (queue)"><code>++dep:to</code></a>
128−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#dif-fe' title="Difference between atoms (modular basis)"><code>++dif:fe</code></a>
129−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#dif-fo' title='Subtraction (modular base)'><code>++dif:fo</code></a>
130−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#dif-in' title='Difference (set)'><code>++dif:in</code></a>
131−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#dif-si' title="Subtraction (signed integer)"><code>++dif:si</code></a>
132−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#dig-by' title="Address of key (map)"><code>++dig:by</code></a>
133−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#dig-in' title="Address of a in set"><code>++dig:in</code></a>
134−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dim-ag' title="Parse decimal number"><code>++dim:ag</code></a>
135−<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#dime' title="Aura-atom pair"><code>++dime</code></a>
136−<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#din-re' title="(Undocumented)"><code>++din:re</code></a>
125+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#demag' title="Parse decmal with dots"><code>++dem:ag</code></a>
126+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#denfl' title="Denormalizes (floating point)"><code>++den:fl</code></a>
127+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#depto' title="Maximum depth (queue)"><code>++dep:to</code></a>
128+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#diffe' title="Difference between atoms (modular basis)"><code>++dif:fe</code></a>
129+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#diffo' title='Subtraction (modular base)'><code>++dif:fo</code></a>
130+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#difin' title='Difference (set)'><code>++dif:in</code></a>
131+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#difsi' title="Subtraction (signed integer)"><code>++dif:si</code></a>
132+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#digby' title="Address of key (map)"><code>++dig:by</code></a>
133+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#digin' title="Address of a in set"><code>++dig:in</code></a>
134+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dimag' title="Parse decimal number"><code>++dim:ag</code></a>
135+<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#dime' title="Auraatom pair"><code>++dime</code></a>
136+<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#dinre' title="(Undocumented)"><code>++din:re</code></a>
137137<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#dis' title="Binary AND (atoms)"><code>++dis</code></a>
138138<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dit' title="Decimal digit"><code>++dit</code></a>
139139<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#div' title="Divide"><code>++div</code></a>
140−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-ff' title="Divide (IEEE float)"><code>++div:ff</code></a>
141−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-fl' title="Divide (signed and unsigned integer cell)"><code>++div:fl</code></a>
142−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-rd' title="Double precision float"><code>++div:rd</code></a>
143−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-rh' title="Divide (half-precision float)"><code>++div:rh</code></a>
144−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-rs' title="Divide (single-precision float)"><code>++div:rs</code></a>
145−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-rq' title="Divide (quad-precision float)"><code>++div:rq</code></a>
140+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divff' title="Divide (IEEE float)"><code>++div:ff</code></a>
141+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divfl' title="Divide (signed and unsigned integer cell)"><code>++div:fl</code></a>
142+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divrd' title="Double precision float"><code>++div:rd</code></a>
143+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divrh' title="Divide (halfprecision float)"><code>++div:rh</code></a>
144+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divrs' title="Divide (singleprecision float)"><code>++div:rs</code></a>
145+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divrq' title="Divide (quadprecision float)"><code>++div:rq</code></a>
146146<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dog' title="Optional gap"><code>++dog</code></a>
147147<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#doh' title="@p separator"><code>++doh</code></a>
148148<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#doq' title="Parse double quote"><code>++doq</code></a>
149149<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#dor' title="Numeric order"><code>++dor</code></a>
150150<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#dot' title="Parse period"><code>++dot</code></a>
151−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-ff' title="@r to decimal float"><code>++drg:ff</code></a>
152−<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>
153−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-rd' title="@rd to decimal float"><code>++drg:rd</code></a>
154−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-rh' title="@rh to decimal float"><code>++drg:rh</code></a>
155−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-rs' title="@rs to decimal float"><code>++drg:rs</code></a>
156−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-rq' title="@rq to decimal float"><code>++drg:rq</code></a>
151+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgff' title="@r to decimal float"><code>++drg:ff</code></a>
152+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgfl' title="Get printable decimal (signed and unsigned integer cell)"><code>++drg:fl</code></a>
153+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgrd' title="@rd to decimal float"><code>++drg:rd</code></a>
154+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgrh' title="@rh to decimal float"><code>++drg:rh</code></a>
155+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgrs' title="@rs to decimal float"><code>++drg:rs</code></a>
156+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgrq' title="@rq to decimal float"><code>++drg:rq</code></a>
157157<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#drop' title="Unit to list"><code>++drop</code></a>
158−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#dul-si' title="Modulus (signed integer)"><code>++dul:si</code></a>
159−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dum-ag' title="Parse decimal with leading zero"><code>++dum:ag</code></a>
160−<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dun' title="-- to ~"><code>++dun</code></a>
158+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#dulsi' title="Modulus (signed integer)"><code>++dul:si</code></a>
159+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dumag' title="Parse decimal with leading zero"><code>++dum:ag</code></a>
160+<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dun' title=" to ~"><code>++dun</code></a>
161161<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#duz' title="== to ~"><code>++duz</code></a>
162162<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#dvr' title="Divide (with remainder)"><code>++dvr</code></a>
163163
164164### e
165165
166−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ead-fl' title="Exact add"><code>++ead:fl</code></a>
166+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#eadfl' title="Exact add"><code>++ead:fl</code></a>
167167<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#each' title="Mold of fork between two types"><code>++each</code></a>
168168<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#easy' title="Always parse"><code>++easy</code></a>
169169<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#edge' title="Parsing location metadata"><code>++edge</code></a>
170170<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#egcd' title="Extended Euclidean algorithm"><code>++egcd</code></a>
171−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emn-fl' title="Minimum exponent"><code>++emn:fl</code></a>
172−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emu-fl' title="Exact multiply"><code>++emu:fl</code></a>
173−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emx-fl' title="Maximum exponent"><code>++emx:fl</code></a>
171+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emnfl' title="Minimum exponent"><code>++emn:fl</code></a>
172+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emufl' title="Exact multiply"><code>++emu:fl</code></a>
173+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emxfl' title="Maximum exponent"><code>++emx:fl</code></a>
174174<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#end' title="Tail"><code>++end</code></a>
175−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-ff' title="Equals (IEEE float)"><code>++equ:ff</code></a>
176−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-fl' title="Equals (signed and unsigned integer cell)"><code>++equ:fl</code></a>
177−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-rd' title="Equals (double-precision float)"><code>++equ:rd</code></a>
178−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-rh' title="Equals (half-precision float)"><code>++equ:rh</code></a>
179−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-rs' title="Equals (single-precision float)"><code>++equ:rs</code></a>
180−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-rq' title="Equals (quad-precision float)"><code>++equ:rq</code></a>
181−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#era-yo' title="Leap-year period"><code>++era:yo</code></a>
182−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-ff' title="Get exponent (IEEE float)"><code>++exp:ff</code></a>
183−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#exp-fo' title="Exponent (modular base)"><code>++exp:fo</code></a>
184−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-rd' title="Exponent (@rd)"><code>++exp:rd</code></a>
185−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-rh' title="Exponent (half-precision float)"><code>++exp:rh</code></a>
186−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-rs' title="Exponent (@rs)"><code>++exp:rs</code></a>
187−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-rq' title="Exponent (quad-precision float)"><code>++exp:rq</code></a>
175+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equff' title="Equals (IEEE float)"><code>++equ:ff</code></a>
176+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equfl' title="Equals (signed and unsigned integer cell)"><code>++equ:fl</code></a>
177+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equrd' title="Equals (doubleprecision float)"><code>++equ:rd</code></a>
178+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equrh' title="Equals (halfprecision float)"><code>++equ:rh</code></a>
179+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equrs' title="Equals (singleprecision float)"><code>++equ:rs</code></a>
180+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equrq' title="Equals (quadprecision float)"><code>++equ:rq</code></a>
181+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#erayo' title="Leapyear period"><code>++era:yo</code></a>
182+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#expff' title="Get exponent (IEEE float)"><code>++exp:ff</code></a>
183+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#expfo' title="Exponent (modular base)"><code>++exp:fo</code></a>
184+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exprd' title="Exponent (@rd)"><code>++exp:rd</code></a>
185+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exprh' title="Exponent (halfprecision float)"><code>++exp:rh</code></a>
186+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exprs' title="Exponent (@rs)"><code>++exp:rs</code></a>
187+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exprq' title="Exponent (quadprecision float)"><code>++exp:rq</code></a>
188188
189189### f
190190
@@ -193,27 +193,27 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
193193<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#fand' title="All indices in list"><code>++fand</code></a>
194194<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#fas' title="Parse / (fas)"><code>++fas</code></a>
195195<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#fe' title="Modulo bloq"><code>++fe</code></a>
196−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#fed-ag' title="Parse @p"><code>++fed:ag</code></a>
197−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#feen-ob' title="Conceal structure v2"><code>++feen:ob</code></a>
198−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#fend-ob' title="Restore structure v2"><code>++fend:ob</code></a>
199−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#fice-ob' title="Feistel-like cipher"><code>++fice:ob</code></a>
196+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#fedag' title="Parse @p"><code>++fed:ag</code></a>
197+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#feenob' title="Conceal structure v2"><code>++feen:ob</code></a>
198+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#fendob' title="Restore structure v2"><code>++fend:ob</code></a>
199+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#ficeob' title="Feistellike cipher"><code>++fice:ob</code></a>
200200<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#fil' title="Fill bloqstream"><code>++fil</code></a>
201201<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#find' title="First index in list"><code>++find</code></a>
202−<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#fit-re' title="Fit on one line test"><code>++fit:re</code></a>
203−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fli-fl' title="Flip sign"><code>++fli:fl</code></a>
202+<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#fitre' title="Fit on one line test"><code>++fit:re</code></a>
203+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#flifl' title="Flip sign"><code>++fli:fl</code></a>
204204<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#flop' title="Reverse list"><code>++flop</code></a>
205−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-ff' title="Fused multiply-add (IEEE float)"><code>++fma:ff</code></a>
206−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-fl' title="Fused multiply-add"><code>++fma:fl</code></a>
207−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-rd' title="Fused multiply-add (@rd)"><code>++fma:rd</code></a>
208−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-rh' title="Fused multiply-add (half-precision float)"><code>++fma:rh</code></a>
209−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-rs' title="Fused multiply-add (single-precision float)"><code>++fma:rs</code></a>
210−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-rq' title="Fused multiply-add (quad-precision float)"><code>++fma:rq</code></a>
205+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmaff' title="Fused multiplyadd (IEEE float)"><code>++fma:ff</code></a>
206+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmafl' title="Fused multiplyadd"><code>++fma:fl</code></a>
207+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmard' title="Fused multiplyadd (@rd)"><code>++fma:rd</code></a>
208+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmarh' title="Fused multiplyadd (halfprecision float)"><code>++fma:rh</code></a>
209+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmars' title="Fused multiplyadd (singleprecision float)"><code>++fma:rs</code></a>
210+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmarq' title="Fused multiplyadd (quadprecision float)"><code>++fma:rq</code></a>
211211<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#fnv' title="FNV scrambler"><code>++fnv</code></a>
212212<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#fo' title="Modulo prime"><code>++fo</code></a>
213213<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#foot' title="Cases of arms by variance model"><code>++foot</code></a>
214−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fos-rh' title="@rs to @rh"><code>++fos:rh</code></a>
215−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#fra-fo' title="Divide (modular base)"><code>++fra:fo</code></a>
216−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#fra-si' title="Divide (signed integer)"><code>++fra:si</code></a>
214+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fosrh' title="@rs to @rh"><code>++fos:rh</code></a>
215+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#frafo' title="Divide (modular base)"><code>++fra:fo</code></a>
216+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#frasi' title="Divide (signed integer)"><code>++fra:si</code></a>
217217<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#full' title="Parse to end"><code>++full</code></a>
218218<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#funk' title="Add to tape"><code>++funk</code></a>
219219
@@ -224,40 +224,40 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
224224<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gap' title="Plural whitespace"><code>++gap</code></a>
225225<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gaq' title="End of line"><code>++gaq</code></a>
226226<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#gar' title="Parse > (gar)"><code>++gar</code></a>
227−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#gas-by' title="Concatenate (map)"><code>++gas:by</code></a>
228−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#gas-in' title="Concatenate (set)"><code>++gas:in</code></a>
229−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#gas-to' title="Push list into queue"><code>++gas:to</code></a>
227+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#gasby' title="Concatenate (map)"><code>++gas:by</code></a>
228+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#gasin' title="Concatenate (set)"><code>++gas:in</code></a>
229+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#gasto' title="Push list into queue"><code>++gas:to</code></a>
230230<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#gate' title="Function"><code>++gate</code></a>
231231<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gaw' title="Classic whitespace"><code>++gaw</code></a>
232232<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gay' title="Optional gap"><code>++gay</code></a>
233−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#get-by' title="Grab unit value"><code>++get:by</code></a>
234−<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#get-ja' title="Grab value by key"><code>++get:ja</code></a>
235−<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#get-ju' title="Retrieve set"><code>++get:ju</code></a>
236−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#get-to' title="Head-tail pair"><code>++get:to</code></a>
233+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#getby' title="Grab unit value"><code>++get:by</code></a>
234+<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#getja' title="Grab value by key"><code>++get:ja</code></a>
235+<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#getju' title="Retrieve set"><code>++get:ju</code></a>
236+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#getto' title="Headtail pair"><code>++get:to</code></a>
237237<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#glue' title="Skip delimiter"><code>++glue</code></a>
238238<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gon' title="Parse long numbers"><code>++gon</code></a>
239239<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#gor' title="Hash order"><code>++gor</code></a>
240−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#got-by' title="Assert for value (map)"><code>++got:by</code></a>
241−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-ff' title="Decimal float to @r"><code>++grd:ff</code></a>
242−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-fl' title="Decimal to float"><code>++grd:fl</code></a>
243−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-rd' title="Decimal float to @rd"><code>++grd:rd</code></a>
244−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-rh' title="Decimal float to @rh"><code>++grd:rh</code></a>
245−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-rs' title="Decimal float to @rs"><code>++grd:rs</code></a>
246−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-rq' title="Decimal float to @rq"><code>++grd:rq</code></a>
240+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#gotby' title="Assert for value (map)"><code>++got:by</code></a>
241+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdff' title="Decimal float to @r"><code>++grd:ff</code></a>
242+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdfl' title="Decimal to float"><code>++grd:fl</code></a>
243+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdrd' title="Decimal float to @rd"><code>++grd:rd</code></a>
244+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdrh' title="Decimal float to @rh"><code>++grd:rh</code></a>
245+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdrs' title="Decimal float to @rs"><code>++grd:rs</code></a>
246+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdrq' title="Decimal float to @rq"><code>++grd:rq</code></a>
247247<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#gte' title="Greater than / equal"><code>++gte</code></a>
248−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-ff' title="Greater than / equal (IEEE float)"><code>++gte:ff</code></a>
249−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-fl' title="Greater than / equal (producing flag)"><code>++gte:fl</code></a>
250−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-rd' title="Greater than / equal (double-precision float)"><code>++gte:rd</code></a>
251−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-rh' title="Greater than / equal (half-precision float)"><code>++gte:rh</code></a>
252−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-rs' title="Greater than / equal (single-precision float)"><code>++gte:rs</code></a>
253−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-rq' title="Greater than / equal (quad-precision float)"><code>++gte:rq</code></a>
248+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gteff' title="Greater than / equal (IEEE float)"><code>++gte:ff</code></a>
249+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gtefl' title="Greater than / equal (producing flag)"><code>++gte:fl</code></a>
250+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gterd' title="Greater than / equal (doubleprecision float)"><code>++gte:rd</code></a>
251+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gterh' title="Greater than / equal (halfprecision float)"><code>++gte:rh</code></a>
252+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gters' title="Greater than / equal (singleprecision float)"><code>++gte:rs</code></a>
253+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gterq' title="Greater than / equal (quadprecision float)"><code>++gte:rq</code></a>
254254<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#gth' title="Greater than"><code>++gth</code></a>
255−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-ff' title="Greater than (IEEE float)"><code>++gth:ff</code></a>
256−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-fl' title="Greater than (producing flag)"><code>++gth:fl</code></a>
257−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-rd' title="Greater than (double-precision float)"><code>++gth:rd</code></a>
258−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-rh' title="Greater than (half-precision float)"><code>++gth:rh</code></a>
259−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-rs' title="Greater than (single-precision float)"><code>++gth:rs</code></a>
260−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-rq' title="Greater than (quad-precision float)"><code>++gth:rq</code></a>
255+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthff' title="Greater than (IEEE float)"><code>++gth:ff</code></a>
256+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthfl' title="Greater than (producing flag)"><code>++gth:fl</code></a>
257+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthrd' title="Greater than (doubleprecision float)"><code>++gth:rd</code></a>
258+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthrh' title="Greater than (halfprecision float)"><code>++gth:rh</code></a>
259+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthrs' title="Greater than (singleprecision float)"><code>++gth:rs</code></a>
260+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthrq' title="Greater than (quadprecision float)"><code>++gth:rq</code></a>
261261<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gul' title="Axis syntax < or >"><code>++gul</code></a>
262262<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#gulf' title="List from range"><code>++gulf</code></a>
263263
@@ -265,35 +265,35 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
265265
266266<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#hair' title="Parsing line and column"><code>++hair</code></a>
267267<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#hard' title="Force remold"><code>++hard</code></a>
268−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#has-by' title="Key existence check (map)"><code>++has:by</code></a>
269−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#has-in' title="Key existence check (set)"><code>++has:in</code></a>
270−<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#has-ju' title="Check contents (jug)"><code>++has:ju</code></a>
268+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#hasby' title="Key existence check (map)"><code>++has:by</code></a>
269+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#hasin' title="Key existence check (set)"><code>++has:in</code></a>
270+<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#hasju' title="Check contents (jug)"><code>++has:ju</code></a>
271271<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#hax' title="Parse # (hax)"><code>++hax</code></a>
272272<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#head' title="Get head of cell"><code>++head</code></a>
273−<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#here' title="Place-based apply"><code>++here</code></a>
274−<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#hep' title="Parse - (hep)"><code>++hep</code></a>
273+<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#here' title="Placebased apply"><code>++here</code></a>
274+<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#hep' title="Parse (hep)"><code>++hep</code></a>
275275<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#hex' title="Hexadecimal to atom"><code>++hex</code></a>
276−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hex-ag' title="Parse hexadecimal number"><code>++hex:ag</code></a>
277−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hif-ab' title="Parse phonetic pair"><code>++hif:ab</code></a>
276+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hexag' title="Parse hexadecimal number"><code>++hex:ag</code></a>
277+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hifab' title="Parse phonetic pair"><code>++hif:ab</code></a>
278278<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#hig' title="Parse single uppercase letter"><code>++hig</code></a>
279279<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#hit' title="Parse single hexadecimal digit"><code>++hit</code></a>
280280<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#homo' title="Homogenize list"><code>++homo</code></a>
281281<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#hor' title="Horizontal hash order"><code>++hor</code></a>
282−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#hor-yo' title="Seconds in hour"><code>++hor:yo</code></a>
283−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#huf-ab' title="Parse two phonetic pairs"><code>++huf:ab</code></a>
284−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hyf-ab' title="Parse 8 phonetic bytes"><code>++hyf:ab</code></a>
282+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#horyo' title="Seconds in hour"><code>++hor:yo</code></a>
283+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hufab' title="Parse two phonetic pairs"><code>++huf:ab</code></a>
284+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hyfab' title="Parse 8 phonetic bytes"><code>++hyf:ab</code></a>
285285
286286### i
287287
288−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ibl-fl' title="Integer binary logarithm"><code>++ibl:fl</code></a>
288+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#iblfl' title="Integer binary logarithm"><code>++ibl:fl</code></a>
289289<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#ifix' title="Infix"><code>++ifix</code></a>
290−<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#ind-po' title="Parse suffix"><code>++ind:po</code></a>
291−<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#ins-po' title="Parse prefix"><code>++ins:po</code></a>
292−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#int-by' title="Intersection (map)"><code>++int:by</code></a>
293−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#int-in' title="Intersection (set)"><code>++int:in</code></a>
294−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#inv-fe' title="Inverse order of modular field"><code>++inv:fe</code></a>
295−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#inv-fl' title="Inverse"><code>++inv:fl</code></a>
296−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#inv-fo' title="Inverse (signed modulus)"><code>++inv:fo</code></a>
290+<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#indpo' title="Parse suffix"><code>++ind:po</code></a>
291+<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#inspo' title="Parse prefix"><code>++ins:po</code></a>
292+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#intby' title="Intersection (map)"><code>++int:by</code></a>
293+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#intin' title="Intersection (set)"><code>++int:in</code></a>
294+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#invfe' title="Inverse order of modular field"><code>++inv:fe</code></a>
295+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#invfl' title="Inverse"><code>++inv:fl</code></a>
296+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#invfo' title="Inverse (signed modulus)"><code>++inv:fo</code></a>
297297<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#iny' title="Indentation block"><code>++iny</code></a>
298298
299299### j
@@ -301,7 +301,7 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
301301<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#ja' title="Jar engine"><code>++ja</code></a>
302302<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#jam' title="Pack noun to atom"><code>++jam</code></a>
303303<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#jar' title="Mold generator (jar)"><code>++jar</code></a>
304−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#jes-yo' title="Maximum 64-bit timestamp"><code>++jes:yo</code></a>
304+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#jesyo' title="Maximum 64bit timestamp"><code>++jes:yo</code></a>
305305<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#jest' title="Match a cord"><code>++jest</code></a>
306306<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#join' title="Add separator between list elements"><code>++join</code></a>
307307<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#ju' title="Jug operations"><code>++ju</code></a>
@@ -313,45 +313,45 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
313313<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#kel' title="Parse { (kel)"><code>++kel</code></a>
314314<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ker' title="Parse } (ker)"><code>++ker</code></a>
315315<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ket' title="Parse ^ (ket)"><code>++ket</code></a>
316−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#key-by' title="Set of keys"><code>++key:by</code></a>
316+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#keyby' title="Set of keys"><code>++key:by</code></a>
317317<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#knee' title="Recursive parsers"><code>++knee</code></a>
318318<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#knot' title="Atom type of ASCII characters"><code>++knot</code></a>
319319
320320### l
321321
322322<a class="tooltip" href='/docs/hoon/reference/stdlib/4d/#last' title="Further trace"><code>++last</code></a>
323−<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#le-nl' title="Construct list from null-terminated noun"><code>++le:nl</code></a>
323+<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#lenl' title="Construct list from nullterminated noun"><code>++le:nl</code></a>
324324<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#lent' title="List length"><code>++lent</code></a>
325325<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#levy' title="Logical AND on list"><code>++levy</code></a>
326−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lfe-fl' title="Maximum"><code>++lfe:fl</code></a>
327−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lfn-fl' title="Largest normal float"><code>++lfn:fl</code></a>
326+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lfefl' title="Maximum"><code>++lfe:fl</code></a>
327+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lfnfl' title="Largest normal float"><code>++lfn:fl</code></a>
328328<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#lien' title="Logical OR on list"><code>++lien</code></a>
329329<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#lift' title="Curried bind"><code>++lift</code></a>
330330<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#like' title="Generic edge"><code>++like</code></a>
331331<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#limb' title="Reference into subject by name/axis"><code>++limb</code></a>
332−<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#limo' title="Construct list from null-terminated tuple"><code>++limo</code></a>
332+<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#limo' title="Construct list from nullterminated tuple"><code>++limo</code></a>
333333<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#line' title="(Undocumented)"><code>++line</code></a>
334−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#lip-ag' title="Parse IPv4 address"><code>++lip:ag</code></a>
334+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#lipag' title="Parse IPv4 address"><code>++lip:ag</code></a>
335335<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#list' title="Mold constructor (list)"><code>++list</code></a>
336336<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#lone' title="Mold generator (face on mold)"><code>++lone</code></a>
337337<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#lor' title="Leg order"><code>++lor</code></a>
338338<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#low' title="Parse lowercase letter"><code>++low</code></a>
339−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#lsh' title="Left-shift"><code>++lsh</code></a>
339+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#lsh' title="Leftshift"><code>++lsh</code></a>
340340<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#lte' title="Less than / equal (atom)"><code>++lte</code></a>
341−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-ff' title="Less than / equal (IEEE float)"><code>++lte:ff</code></a>
342−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-fl' title="Less than / equal (producing flag)"><code>++lte:fl</code></a>
343−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-rd' title="Less than / equal (double-precision float)"><code>++lte:rd</code></a>
344−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-rh' title="Less than / equal (half-precision float)"><code>++lte:rh</code></a>
345−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-rs' title="Less than / equal (single-precision float)"><code>++lte:rs</code></a>
346−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-rq' title="Less than / equal (quad-precision float)"><code>++lte:rq</code></a>
341+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lteff' title="Less than / equal (IEEE float)"><code>++lte:ff</code></a>
342+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ltefl' title="Less than / equal (producing flag)"><code>++lte:fl</code></a>
343+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lterd' title="Less than / equal (doubleprecision float)"><code>++lte:rd</code></a>
344+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lterh' title="Less than / equal (halfprecision float)"><code>++lte:rh</code></a>
345+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lters' title="Less than / equal (singleprecision float)"><code>++lte:rs</code></a>
346+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lterq' title="Less than / equal (quadprecision float)"><code>++lte:rq</code></a>
347347<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#lth' title="Less than (atom)"><code>++lth</code></a>
348−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-ff' title="Less than (IEEE float)"><code>++lth:ff</code></a>
349−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-fl' title="Less than (signed and unsigned integer cell)"><code>++lth:fl</code></a>
350−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-rd' title="Less than (double-precision float)"><code>++lth:rd</code></a>
351−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-rh' title="Less than (half-precision float)"><code>++lth:rh</code></a>
352−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-rs' title="Less than (single-precision float)"><code>++lth:rs</code></a>
353−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-rq' title="Less than (quad-precision float)"><code>++lth:rq</code></a>
354−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lug-fl' title="Central rounding mechanism"><code>++lug:fl</code></a>
348+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthff' title="Less than (IEEE float)"><code>++lth:ff</code></a>
349+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthfl' title="Less than (signed and unsigned integer cell)"><code>++lth:fl</code></a>
350+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthrd' title="Less than (doubleprecision float)"><code>++lth:rd</code></a>
351+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthrh' title="Less than (halfprecision float)"><code>++lth:rh</code></a>
352+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthrs' title="Less than (singleprecision float)"><code>++lth:rs</code></a>
353+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthrq' title="Less than (quadprecision float)"><code>++lth:rq</code></a>
354+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lugfl' title="Central rounding mechanism"><code>++lug:fl</code></a>
355355<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#lus' title="Parse + (lus)"><code>++lus</code></a>
356356<a class="tooltip" href='/docs/hoon/reference/stdlib/4d/#lust' title="Detect new line"><code>++lust</code></a>
357357<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#less' title="Parse unless"><code>++less</code></a>
@@ -359,20 +359,20 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
359359
360360### m
361361
362−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ma-rd' title="Initialize ff (rd core)"><code>++ma:rd</code></a>
363−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ma-rh' title="Initialize ff (rh core)"><code>++ma:rh</code></a>
364−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ma-rs' title="Initialize ff (rs core)"><code>++ma:rs</code></a>
365−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ma-rq' title="Initialize ff (rq core)"><code>++ma:rq</code></a>
362+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mard' title="Initialize ff (rd core)"><code>++ma:rd</code></a>
363+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#marh' title="Initialize ff (rh core)"><code>++ma:rh</code></a>
364+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mars' title="Initialize ff (rs core)"><code>++ma:rs</code></a>
365+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#marq' title="Initialize ff (rq core)"><code>++ma:rq</code></a>
366366<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mack' title="Nock subject to unit"><code>++mack</code></a>
367367<a class="tooltip" href='/docs/hoon/reference/stdlib/2l/#malt' title="Map from list"><code>++malt</code></a>
368368<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#map' title="Mold generator (map)"><code>++map</code></a>
369−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#mar-by' title="Assert and add (map)"><code>++mar:by</code></a>
369+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#marby' title="Assert and add (map)"><code>++mar:by</code></a>
370370<a class="tooltip" href='/docs/hoon/reference/stdlib/1b/#mas' title="Address within head/tail"><code>++mas</code></a>
371371<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#mask' title="Match character"><code>++mask</code></a>
372−<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#mat' title="Length-encode"><code>++mat</code></a>
372+<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#mat' title="Lengthencode"><code>++mat</code></a>
373373<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#mate' title="Choose"><code>++mate</code></a>
374374<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#max' title="Maximum"><code>++max</code></a>
375−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#me-ff' title="Minimum exponent of ff"><code>++me:ff</code></a>
375+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#meff' title="Minimum exponent of ff"><code>++me:ff</code></a>
376376<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#mean' title="Crash and printf"><code>++mean</code></a>
377377<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#mes' title="Parse hexabyte"><code>++mes</code></a>
378378<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#mesc' title="Escape special characters"><code>++mesc</code></a>
@@ -380,66 +380,66 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
380380<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#metl' title="(Undocumented)"><code>++metl</code></a>
381381<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#min' title="Minimum (atom)"><code>++min</code></a>
382382<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mink' title="Mock (virtual Nock) interpreter"><code>++mink</code></a>
383−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#mit-yo' title="Seconds in minute"><code>++mit:yo</code></a>
383+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#mityo' title="Seconds in minute"><code>++mit:yo</code></a>
384384<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#mix' title="Binary XOR (atom)"><code>++mix</code></a>
385385<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mock' title="Compute formula on subject with hint"><code>++mock</code></a>
386386<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#mod' title="Modulus (atom)"><code>++mod</code></a>
387−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#moh-yo' title="Days in month"><code>++moh:yo</code></a>
387+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#mohyo' title="Days in month"><code>++moh:yo</code></a>
388388<a class="tooltip" href='/docs/hoon/reference/stdlib/2l/#molt' title="Map from pair list"><code>++molt</code></a>
389389<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mong' title="Slam gate with sample"><code>++mong</code></a>
390390<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mook' title="Intelligently render crash annotation"><code>++mook</code></a>
391391<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#more' title="Parse list with delimiter"><code>++more</code></a>
392392<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#most' title="Parse list of at least one match"><code>++most</code></a>
393−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#moy-yo' title="Days in months of leap-year"><code>++moy:yo</code></a>
394−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#mu' title="Core used to scramble 16-bit atoms"><code>++mu</code></a>
395−<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#mug' title="FNV-1a scrambler"><code>++mug</code></a>
393+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#moyyo' title="Days in months of leapyear"><code>++moy:yo</code></a>
394+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#mu' title="Core used to scramble 16bit atoms"><code>++mu</code></a>
395+<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#mug' title="FNV1a scrambler"><code>++mug</code></a>
396396<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#muk' title="Standard MurmurHash3"><code>++muk</code></a>
397397<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#mul' title="Multiply (atom)"><code>++mul</code></a>
398−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-ff' title="Multiply (IEEE float)"><code>++mul:ff</code></a>
399−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-fl' title="Multiply (signed and unsigned integer cell)"><code>++mul:fl</code></a>
400−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-rd' title="Multiply (double-precision float)"><code>++mul:rd</code></a>
401−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-rh' title="Multiply (quad-precision float)"><code>++mul:rh</code></a>
402−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-rs' title="Multiply (single-precision float)"><code>++mul:rs</code></a>
403−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-rq' title="Multiply (quad-precision float)"><code>++mul:rq</code></a>
398+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulff' title="Multiply (IEEE float)"><code>++mul:ff</code></a>
399+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulfl' title="Multiply (signed and unsigned integer cell)"><code>++mul:fl</code></a>
400+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulrd' title="Multiply (doubleprecision float)"><code>++mul:rd</code></a>
401+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulrh' title="Multiply (quadprecision float)"><code>++mul:rh</code></a>
402+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulrs' title="Multiply (singleprecision float)"><code>++mul:rs</code></a>
403+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulrq' title="Multiply (quadprecision float)"><code>++mul:rq</code></a>
404404<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mule' title="Typed virtual"><code>++mule</code></a>
405405<a class="tooltip" href='/docs/hoon/reference/stdlib/4n/#mute' title="Untyped virtual"><code>++mute</code></a>
406−<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#mum' title="31-bit MurmurHash3 scrambler"><code>++mum</code></a>
406+<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#mum' title="31bit MurmurHash3 scrambler"><code>++mum</code></a>
407407<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#murn' title="Maybe transform"><code>++murn</code></a>
408408<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#my' title="Map from raw noun"><code>++my</code></a>
409−<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#my-nl' title="Construct map from null-terminated noun"><code>++my:nl</code></a>
409+<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#mynl' title="Construct map from nullterminated noun"><code>++my:nl</code></a>
410410
411411### n
412412
413413<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#nail' title="Location, remainder of parsed text"><code>++nail</code></a>
414−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#nap-to' title="Remove head of queue"><code>++nap:to</code></a>
414+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#napto' title="Remove head of queue"><code>++nap:to</code></a>
415415<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ne' title="Digit rendering engine"><code>++ne</code></a>
416−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ned-fl' title="Require float"><code>++ned:fl</code></a>
416+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#nedfl' title="Require float"><code>++ned:fl</code></a>
417417<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#need' title="Unwrap unit"><code>++need</code></a>
418−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#net-fe' title="Flip endianness"><code>++net:fe</code></a>
419−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#new-si' title="Atom to @s"><code>++new:si</code></a>
418+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#netfe' title="Flip endianness"><code>++net:fe</code></a>
419+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#newsi' title="Atom to @s"><code>++new:si</code></a>
420420<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#next' title="Consume character"><code>++next</code></a>
421−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#nip-to' title="Remove root of queue"><code>++nip:to</code></a>
422−<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#nix' title="Parse letters and -"><code>++nix</code></a>
421+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#nipto' title="Remove root of queue"><code>++nip:to</code></a>
422+<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#nix' title="Parse letters and "><code>++nix</code></a>
423423<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#nl' title="Noun to container operations"><code>++nl</code></a>
424424<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#nock' title="Virtual machine (see Nock)"><code>++nock</code></a>
425425<a class="tooltip" href='/docs/hoon/reference/stdlib/2d/#not' title="Binary NOT (atom)"><code>++not</code></a>
426426<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#noun' title="(Undocumented)"><code>++noun</code></a>
427−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#nuck-so' title="Top-level coin parser"><code>++nuck:so</code></a>
427+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#nuckso' title="Toplevel coin parser"><code>++nuck:so</code></a>
428428<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#nud' title="Parse numeric character"><code>++nud</code></a>
429429<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#null' title="(Undocumented)"><code>++null</code></a>
430−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#nusk-so' title="Parse coin literal with escapes"><code>++nusk:so</code></a>
430+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#nuskso' title="Parse coin literal with escapes"><code>++nusk:so</code></a>
431431
432432### o
433433
434434<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#ob' title="Reversible scrambling v2"><code>++ob</code></a>
435−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#og' title="Container arm for SHA-256 powered RNG"><code>++og</code></a>
436−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#old-si' title="Sign and absolute value"><code>++old:si</code></a>
435+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#og' title="Container arm for SHA256 powered RNG"><code>++og</code></a>
436+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#oldsi' title="Sign and absolute value"><code>++old:si</code></a>
437437<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#oust' title="Remove from list"><code>++oust</code></a>
438−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#out-fe' title="Maximum integer value"><code>++out:fe</code></a>
438+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#outfe' title="Maximum integer value"><code>++out:fe</code></a>
439439
440440### p
441441
442−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#pa-ff' title="Initialize fl from ff core"><code>++pa:ff</code></a>
442+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#paff' title="Initialize fl from ff core"><code>++pa:ff</code></a>
443443<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#pair' title="Mold of pair of types"><code>++pair</code></a>
444444<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#pam' title="Parse & (pam)"><code>++pam</code></a>
445445<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#pat' title="Parse @ (pat)"><code>++pat</code></a>
@@ -447,13 +447,13 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
447447<a class="tooltip" href='/docs/hoon/reference/stdlib/1b/#peg' title="Address within address"><code>++peg</code></a>
448448<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#pel' title="Parse ( (pel)"><code>++pel</code></a>
449449<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#per' title="Parse ) (per)"><code>++per</code></a>
450−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#perd-so' title="Parses dime/tiple without standard prefixes"><code>++perd:so</code></a>
451−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pev-ab' title="Parse <=5 in base 32"><code>++pev:ab</code></a>
452−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pew-ab' title="Parse <= 5 in base 64"><code>++pew:ab</code></a>
450+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#perdso' title="Parses dime/tiple without standard prefixes"><code>++perd:so</code></a>
451+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pevab' title="Parse <=5 in base 32"><code>++pev:ab</code></a>
452+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pewab' title="Parse <= 5 in base 64"><code>++pew:ab</code></a>
453453<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#pfix' title="Discard first rule"><code>++pfix</code></a>
454454<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#pint' title="Parsing range"><code>++pint</code></a>
455−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#piv-ab' title="Parse 5 digits in base 32"><code>++piv:ab</code></a>
456−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#piw-ab' title="Parse 5 digits in base 64"><code>++piw:ab</code></a>
455+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pivab' title="Parse 5 digits in base 32"><code>++piv:ab</code></a>
456+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#piwab' title="Parse 5 digits in base 64"><code>++piw:ab</code></a>
457457<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#plug' title="Parse to tuple"><code>++plug</code></a>
458458<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#plus' title="List of at least one match"><code>++plus</code></a>
459459<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#po' title="Phonetic base"><code>++po</code></a>
@@ -461,146 +461,146 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
461461<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#port' title="(Undocumented)"><code>++port</code></a>
462462<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#pose' title="Parse options"><code>++pose</code></a>
463463<a class="tooltip" href='/docs/hoon/reference/stdlib/2g/#pow' title="Computes a to the power of b"><code>++pow</code></a>
464−<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>
464+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#prcfl' title="Force precision of 2 or greater (floating point)"><code>++prc:fl</code></a>
465465<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#prn' title="Parse any printable character"><code>++prn</code></a>
466−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#pro-fo' title="Multiplies b and c modulo a"><code>++pro:fo</code></a>
467−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#pro-si' title="Multiply to signed integer"><code>++pro:si</code></a>
468−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#put-by' title="Add key-value pair (map)"><code>++put:by</code></a>
469−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#put-in' title="Put b in a (set)"><code>++put:in</code></a>
470−<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#put-ju' title="Add key-set pair (jar)"><code>++put:ju</code></a>
471−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#put-to' title="Insert into queue"><code>++put:to</code></a>
466+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#profo' title="Multiplies b and c modulo a"><code>++pro:fo</code></a>
467+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#prosi' title="Multiply to signed integer"><code>++pro:si</code></a>
468+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#putby' title="Add keyvalue pair (map)"><code>++put:by</code></a>
469+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#putin' title="Put b in a (set)"><code>++put:in</code></a>
470+<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#putju' title="Add keyset pair (jar)"><code>++put:ju</code></a>
471+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#putto' title="Insert into queue"><code>++put:to</code></a>
472472
473473### q
474474
475−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#qad-yo' title="Seconds in 4 years"><code>++qad:yo</code></a>
476−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qeb-ab' title="Parse <=4 binary digits"><code>++qeb:ab</code></a>
475+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#qadyo' title="Seconds in 4 years"><code>++qad:yo</code></a>
476+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qebab' title="Parse <=4 binary digits"><code>++qeb:ab</code></a>
477477<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#qeu' title="Mold generator (queue)"><code>++qeu</code></a>
478−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qex-ab' title="Parse <=4 hexadecimal digits"><code>++qex:ab</code></a>
479−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qib-ab' title="Parse 4 binary digits"><code>++qib:ab</code></a>
478+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qexab' title="Parse <=4 hexadecimal digits"><code>++qex:ab</code></a>
479+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qibab' title="Parse 4 binary digits"><code>++qib:ab</code></a>
480480<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#qit' title="Parse character to cord atom"><code>++qit</code></a>
481−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qix-ab' title="Parse 4 hexadecimal digits"><code>++qix:ab</code></a>
481+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qixab' title="Parse 4 hexadecimal digits"><code>++qix:ab</code></a>
482482<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#quip' title="Mold generator (tuple of list and type)"><code>++quip</code></a>
483483<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#qut' title="Parse cord"><code>++qut</code></a>
484484
485485### r
486486
487−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#r-at' title="(Undocumented)"><code>++r:at</code></a>
488−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#rad-og' title="Random in range"><code>++rad:og</code></a>
489−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#rads-og' title="Random continuation"><code>++rads:og</code></a>
490−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#raku-ob' title="Key list"><code>++raku:ob</code></a>
491−<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#ram-re' title="Flatten tank to tape"><code>++ram:re</code></a>
492−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rap' title="Assemble non-zero"><code>++rap</code></a>
487+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rat' title="(Undocumented)"><code>++r:at</code></a>
488+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#radog' title="Random in range"><code>++rad:og</code></a>
489+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#radsog' title="Random continuation"><code>++rads:og</code></a>
490+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#rakuob' title="Key list"><code>++raku:ob</code></a>
491+<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#ramre' title="Flatten tank to tape"><code>++ram:re</code></a>
492+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rap' title="Assemble nonzero"><code>++rap</code></a>
493493<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rash' title="Parse or crash"><code>++rash</code></a>
494−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rau-fl' title="Various roundings (floating point)"><code>++rau:fl</code></a>
495−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#raw-og' title="Random bits"><code>++raw:og</code></a>
496−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#raws-og' title="Random bits continuation"><code>++raws:og</code></a>
497−<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#re' title="Pretty-printing engine (tank)"><code>++re</code></a>
498−<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rear-co' title="Prepend and render atom as tape"><code>++rear:co</code></a>
494+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#raufl' title="Various roundings (floating point)"><code>++rau:fl</code></a>
495+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#rawog' title="Random bits"><code>++raw:og</code></a>
496+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#rawsog' title="Random bits continuation"><code>++raws:og</code></a>
497+<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#re' title="Prettyprinting engine (tank)"><code>++re</code></a>
498+<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rearco' title="Prepend and render atom as tape"><code>++rear:co</code></a>
499499<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#reap' title="Replicate (list)"><code>++reap</code></a>
500500<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#reel' title="Right fold (list)"><code>++reel</code></a>
501−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#rem-si' title="Remainder (signed integer)"><code>++rem:si</code></a>
502−<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rend-co' title="Render coin lot as tape"><code>++rend:co</code></a>
503−<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rent-co' title="Render coin lot as span"><code>++rent:co</code></a>
501+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#remsi' title="Remainder (signed integer)"><code>++rem:si</code></a>
502+<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rendco' title="Render coin lot as tape"><code>++rend:co</code></a>
503+<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rentco' title="Render coin lot as span"><code>++rent:co</code></a>
504504<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rep' title="Assemble single"><code>++rep</code></a>
505−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#rep-by' title="Replace by product (map)"><code>++rep:by</code></a>
506−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#rep-in' title="Accumulate elements (set)"><code>++rep:in</code></a>
507−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rf-at' title="(Undocumented)"><code>++rf:at</code></a>
508−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#rib-by' title="Replace values with accumulator (map)"><code>++rib:by</code></a>
509−<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#rig-re' title="Wrap tape in / (tank)"><code>++rig:re</code></a>
505+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#repby' title="Replace by product (map)"><code>++rep:by</code></a>
506+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#repin' title="Accumulate elements (set)"><code>++rep:in</code></a>
507+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rfat' title="(Undocumented)"><code>++rf:at</code></a>
508+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#ribby' title="Replace values with accumulator (map)"><code>++rib:by</code></a>
509+<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#rigre' title="Wrap tape in / (tank)"><code>++rig:re</code></a>
510510<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rip' title="Disassemble"><code>++rip</code></a>
511−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rn-at' title="(Undocumented)"><code>++rn:at</code></a>
512−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rol-fe' title="Roll left"><code>++rol:fe</code></a>
511+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rnat' title="(Undocumented)"><code>++rn:at</code></a>
512+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rolfe' title="Roll left"><code>++rol:fe</code></a>
513513<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#roll' title="Left fold (list)"><code>++roll</code></a>
514514<code>++rood</code>
515−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#ror-fe' title="Roll right"><code>++ror:fe</code></a>
516−<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>
517−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-so' title="Parse dime float"><code>++royl:so</code></a>
518−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-cell-so' title="(Undocumented)"><code>++royl-cell:so</code></a>
519−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rsh' title="Right-shift"><code>++rsh</code></a>
520−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rt-at' title="(Undocumented)"><code>++rt:at</code></a>
521−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rta-at' title="(Undocumented)"><code>++rta:at</code></a>
522−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rtam-at' title="(Undocumented)"><code>++rtam:at</code></a>
523−<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#rub' title="Length-decode"><code>++rub</code></a>
524−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rub-at' title="(Undocumented)"><code>++rub:at</code></a>
525−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rud-at' title="(Undocumented)"><code>++rud:at</code></a>
515+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rorfe' title="Roll right"><code>++ror:fe</code></a>
516+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#roufl' title="Round to nearest float with 113bit significand"><code>++rou:fl</code></a>
517+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#roylso' title="Parse dime float"><code>++royl:so</code></a>
518+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#roylcellso' title="(Undocumented)"><code>++roylcell:so</code></a>
519+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rsh' title="Rightshift"><code>++rsh</code></a>
520+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rtat' title="(Undocumented)"><code>++rt:at</code></a>
521+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rtaat' title="(Undocumented)"><code>++rta:at</code></a>
522+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rtamat' title="(Undocumented)"><code>++rtam:at</code></a>
523+<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#rub' title="Lengthdecode"><code>++rub</code></a>
524+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rubat' title="(Undocumented)"><code>++rub:at</code></a>
525+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rudat' title="(Undocumented)"><code>++rud:at</code></a>
526526<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#rule' title="Parsing rule (match this with _)"><code>++rule</code></a>
527−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rum-at' title="(Undocumented)"><code>++rum:at</code></a>
528−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#run-by' title="Transform values (map)"><code>++run:by</code></a>
529−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#run-in' title="Apply gate to set"><code>++run:in</code></a>
530−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#rund-ob' title="Reverse single Feistel-like"><code>++rund:ob</code></a>
527+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rumat' title="(Undocumented)"><code>++rum:at</code></a>
528+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#runby' title="Transform values (map)"><code>++run:by</code></a>
529+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#runin' title="Apply gate to set"><code>++run:in</code></a>
530+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#rundob' title="Reverse single Feistellike"><code>++rund:ob</code></a>
531531<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#runt' title="Prepend n times"><code>++runt</code></a>
532−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rup-at' title="(Undocumented)"><code>++rup:at</code></a>
532+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rupat' title="(Undocumented)"><code>++rup:at</code></a>
533533<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rush' title="Parse or null"><code>++rush</code></a>
534534<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#rust' title="Parse tape or null"><code>++rust</code></a>
535−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#rut-by' title="Transform nodes (map)"><code>++rut:by</code></a>
536−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#ruv-at' title="(Undocumented)"><code>++ruv:at</code></a>
537−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rux-at' title="(Undocumented)"><code>++rux:at</code></a>
538−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#rynd-ob' title="Reverse Feistel-like cipher"><code>++rynd:ob</code></a>
535+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#rutby' title="Transform nodes (map)"><code>++rut:by</code></a>
536+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#ruvat' title="(Undocumented)"><code>++ruv:at</code></a>
537+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#ruxat' title="(Undocumented)"><code>++rux:at</code></a>
538+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#ryndob' title="Reverse Feistellike cipher"><code>++rynd:ob</code></a>
539539
540540### s
541541
542542<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#same' title="Identity (produces same value)"><code>++same</code></a>
543−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-ff' title="Signed integer to @r"><code>++san:ff</code></a>
544−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-fl' title="Signed integer to float"><code>++san:fl</code></a>
545−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-rd' title="Unsigned integer to @rd"><code>++san:rd</code></a>
546−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-rh' title="Signed integer to @rh"><code>++san:rh</code></a>
547−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-rs' title="Signed integer to @rs"><code>++san:rs</code></a>
548−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-rq' title="Signed integer to @rq"><code>++san:rq</code></a>
549−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#sand' title="Soft-cast by aura"><code>++sand</code></a>
543+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanff' title="Signed integer to @r"><code>++san:ff</code></a>
544+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanfl' title="Signed integer to float"><code>++san:fl</code></a>
545+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanrd' title="Unsigned integer to @rd"><code>++san:rd</code></a>
546+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanrh' title="Signed integer to @rh"><code>++san:rh</code></a>
547+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanrs' title="Signed integer to @rs"><code>++san:rs</code></a>
548+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanrq' title="Signed integer to @rq"><code>++san:rq</code></a>
549+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#sand' title="Softcast by aura"><code>++sand</code></a>
550550<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#sane' title="Check aura validity"><code>++sane</code></a>
551−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sb-ff' title="Sign bit"><code>++sb:ff</code></a>
551+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sbff' title="Sign bit"><code>++sb:ff</code></a>
552552<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#scag' title="Prefix (produce front of list)"><code>++scag</code></a>
553553<a class="tooltip" href='/docs/hoon/reference/stdlib/4g/#scan' title="Parse tape or crash"><code>++scan</code></a>
554554<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#scot' title="Render dime as cord"><code>++scot</code></a>
555555<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#scow' title="Render dime as tape"><code>++scow</code></a>
556−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-ff' title="Convert from IEEE float to fn"><code>++sea:ff</code></a>
557−<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>
558−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-rh' title="Convert from half-precision float to fn"><code>++sea:rh</code></a>
559−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-rs' title="Convert from single-precision float to fn"><code>++sea:rs</code></a>
560−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-rq' title="Convert from quad-precision float to fn"><code>++sea:rq</code></a>
556+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#seaff' title="Convert from IEEE float to fn"><code>++sea:ff</code></a>
557+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#seard' title="Convert from doubleprecision binary float to fn"><code>++sea:rd</code></a>
558+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#searh' title="Convert from halfprecision float to fn"><code>++sea:rh</code></a>
559+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sears' title="Convert from singleprecision float to fn"><code>++sea:rs</code></a>
560+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#searq' title="Convert from quadprecision float to fn"><code>++sea:rq</code></a>
561561<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#sear' title="Conditional ++cook"><code>++sear</code></a>
562−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#seb-ab' title="Parse 1"><code>++seb:ab</code></a>
563−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sed-ab' title="Parse non-zero decimal digit"><code>++sed:ab</code></a>
562+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sebab' title="Parse 1"><code>++seb:ab</code></a>
563+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sedab' title="Parse nonzero decimal digit"><code>++sed:ab</code></a>
564564<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#sel' title="Parse [ (sel)"><code>++sel</code></a>
565565<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#sem' title="Parse ; (sem)"><code>++sem</code></a>
566566<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ser' title="Parse ] (ser)"><code>++ser</code></a>
567567<a class="tooltip" href='/docs/hoon/reference/stdlib/2o/#set' title="Mold generator (set)"><code>++set</code></a>
568−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sev-ab' title="Parse non-zero base 32 digit"><code>++sev:ab</code></a>
569−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sew-ab' title="Parse non-zero base 64 digit"><code>++sew:ab</code></a>
570−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sex-ab' title="Parse nonzero hexadecimal digit"><code>++sex:ab</code></a>
568+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sevab' title="Parse nonzero base 32 digit"><code>++sev:ab</code></a>
569+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sewab' title="Parse nonzero base 64 digit"><code>++sew:ab</code></a>
570+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sexab' title="Parse nonzero hexadecimal digit"><code>++sex:ab</code></a>
571571<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#sfix' title="Discard second rule"><code>++sfix</code></a>
572−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shad' title="Double SHA-256"><code>++shad</code></a>
573−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaf' title="Half SHA-256"><code>++shaf</code></a>
574−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shal' title="SHA-512 with length"><code>++shal</code></a>
575−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#sham' title="128-bit noun hash"><code>++sham</code></a>
576−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shan' title="SHA-1"><code>++shan</code></a>
572+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shad' title="Double SHA256"><code>++shad</code></a>
573+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaf' title="Half SHA256"><code>++shaf</code></a>
574+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shal' title="SHA512 with length"><code>++shal</code></a>
575+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#sham' title="128bit noun hash"><code>++sham</code></a>
576+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shan' title="SHA1"><code>++shan</code></a>
577577<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shas' title="Salted hash"><code>++shas</code></a>
578578<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaw' title="Hash to nbits"><code>++shaw</code></a>
579−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shax' title="SHA-256"><code>++shax</code></a>
580−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shay' title="SHA-256 with length"><code>++shay</code></a>
581−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaz' title="SHA-512"><code>++shaz</code></a>
579+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shax' title="SHA256"><code>++shax</code></a>
580+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shay' title="SHA256 with length"><code>++shay</code></a>
581+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaz' title="SHA512"><code>++shaz</code></a>
582582<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#shep' title="(Undocumented)"><code>++shep</code></a>
583−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#shf-fl' title="Shift power"><code>++shf:fl</code></a>
583+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#shffl' title="Shift power"><code>++shf:fl</code></a>
584584<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#shim' title="Match character within range"><code>++shim</code></a>
585585<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#shop' title="(Undocumented)"><code>++shop</code></a>
586586<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#show' title="(Undocumented)"><code>++show</code></a>
587587<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#si' title="Signed integer"><code>++si</code></a>
588−<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#si-nl' title="Construct set from null-terminated noun"><code>++si:nl</code></a>
589−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sib-ab' title="Parse binary digit"><code>++sib:ab</code></a>
590−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sid-ab' title="Parse decimal digit"><code>++sid:ab</code></a>
588+<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#sinl' title="Construct set from nullterminated noun"><code>++si:nl</code></a>
589+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sibab' title="Parse binary digit"><code>++sib:ab</code></a>
590+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sidab' title="Parse decimal digit"><code>++sid:ab</code></a>
591591<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#sig' title="Parse ~ (sig)"><code>++sig</code></a>
592−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-ff' title="Produce sign of IEEE float"><code>++sig:ff</code></a>
593−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-rd' title="Produce sign of @rd"><code>++sig:rd</code></a>
594−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-rh' title="Produce sign of half-precision float"><code>++sig:rh</code></a>
595−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-rs' title="Produce sign of @rs"><code>++sig:rs</code></a>
596−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-rq' title="Produce sign of quad-precision float"><code>++sig:rq</code></a>
592+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigff' title="Produce sign of IEEE float"><code>++sig:ff</code></a>
593+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigrd' title="Produce sign of @rd"><code>++sig:rd</code></a>
594+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigrh' title="Produce sign of halfprecision float"><code>++sig:rh</code></a>
595+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigrs' title="Produce sign of @rs"><code>++sig:rs</code></a>
596+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigrq' title="Produce sign of quadprecision float"><code>++sig:rq</code></a>
597597<a class="tooltip" href='/docs/hoon/reference/stdlib/2l/#silt' title="Produce set from list"><code>++silt</code></a>
598598<a class="tooltip" href='/docs/hoon/reference/stdlib/4e/#simu' title="First and second"><code>++simu</code></a>
599−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sit-fe' title="Enforce modulo"><code>++sit:fe</code></a>
600−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sit-fo' title="Produce remainder of b modulo a"><code>++sit:fo</code></a>
601−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#siv-ab' title="Parse a base 32 digit"><code>++siv:ab</code></a>
602−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#siw-ab' title="Parse a base 64 digit"><code>++siw:ab</code></a>
603−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#six-ab' title="Parse a hexadecimal digit"><code>++six:ab</code></a>
599+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sitfe' title="Enforce modulo"><code>++sit:fe</code></a>
600+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sitfo' title="Produce remainder of b modulo a"><code>++sit:fo</code></a>
601+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sivab' title="Parse a base 32 digit"><code>++siv:ab</code></a>
602+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#siwab' title="Parse a base 64 digit"><code>++siw:ab</code></a>
603+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sixab' title="Parse a hexadecimal digit"><code>++six:ab</code></a>
604604<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#skid' title="Separate list into two lists from slammed elments"><code>++skid</code></a>
605605<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#skim' title="Produce list of elements from boolean gate"><code>++skim</code></a>
606606<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#skip' title="Produce list of elements failing boolean gate"><code>++skip</code></a>
@@ -613,116 +613,116 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
613613<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#slug' title="Use gate to parse delimited list"><code>++slug</code></a>
614614<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#smyt' title="Render path as tank"><code>++smyt</code></a>
615615<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#snag' title="Produce element at specific index (list)"><code>++snag</code></a>
616−<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>
616+<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#snagnl' title="Produce element from list at specific nullterminated noun"><code>++snag:nl</code></a>
617617<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#snoc' title="Append noun to list"><code>++snoc</code></a>
618618<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#so' title="Coin parser engine"><code>++so</code></a>
619619<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#soft' title="Maybe remold"><code>++soft</code></a>
620620<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#some' title="Wrap value in unit"><code>++some</code></a>
621621<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#soq' title="Parse ' (soq)"><code>++soq</code></a>
622622<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#sort' title="Quicksort (list)"><code>++sort</code></a>
623−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sov-ab' title="Parse base 32 letter"><code>++sov:ab</code></a>
624−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sow-ab' title="Parse base 64 letter/symbol"><code>++sow:ab</code></a>
625−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sox-ab' title="Parse hexadecimal letter"><code>++sox:ab</code></a>
626−<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#soz' title="Parse triple single-quote"><code>++soz</code></a>
623+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sovab' title="Parse base 32 letter"><code>++sov:ab</code></a>
624+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sowab' title="Parse base 64 letter/symbol"><code>++sow:ab</code></a>
625+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#soxab' title="Parse hexadecimal letter"><code>++sox:ab</code></a>
626+<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#soz' title="Parse triple singlequote"><code>++soz</code></a>
627627<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#span' title="ASCII atom"><code>++span</code></a>
628628<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#spat' title="Render path as cord"><code>++spat</code></a>
629−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#spd-fl' title="Produce smallest denormalized float"><code>++spd:fl</code></a>
629+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#spdfl' title="Produce smallest denormalized float"><code>++spd:fl</code></a>
630630<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#spin' title="Gate to list (with state)"><code>++spin</code></a>
631−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#spn-fl' title="Produce smallest normal float"><code>++spn:fl</code></a>
631+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#spnfl' title="Produce smallest normal float"><code>++spn:fl</code></a>
632632<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#spot' title="Stack trace line"><code>++spot</code></a>
633633<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#spud' title="Render path as tape"><code>++spud</code></a>
634634<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#spun' title="Gate to list (with state)"><code>++spun</code></a>
635635<a class="tooltip" href='/docs/hoon/reference/stdlib/2g/#sqt' title="Compute square root with remainder"><code>++sqt</code></a>
636−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-ff' title="Produce square root of IEEE float"><code>++sqt:ff</code></a>
637−<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>
638−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-rd' title="Produce square root of double-precision float"><code>++sqt:rd</code></a>
639−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-rh' title="Produce square root of half-precision float"><code>++sqt:rh</code></a>
640−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-rs' title="Produce square root of single-precision float"><code>++sqt:rs</code></a>
641−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-rq' title="Produce square root of quad-precision float"><code>++sqt:rq</code></a>
636+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtff' title="Produce square root of IEEE float"><code>++sqt:ff</code></a>
637+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtfl' title="Produce square root from signed and unsigned integer cell"><code>++sqt:fl</code></a>
638+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtrd' title="Produce square root of doubleprecision float"><code>++sqt:rd</code></a>
639+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtrh' title="Produce square root of halfprecision float"><code>++sqt:rh</code></a>
640+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtrs' title="Produce square root of singleprecision float"><code>++sqt:rs</code></a>
641+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtrq' title="Produce square root of quadprecision float"><code>++sqt:rq</code></a>
642642<a class="tooltip" href='/docs/hoon/reference/stdlib/4m/#stab' title="Parse cord to path"><code>++stab</code></a>
643643<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stag' title="Add label"><code>++stag</code></a>
644644<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#star' title="Produce list of matches"><code>++star</code></a>
645−<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stet' title="Add faces to range-parser pairs in list"><code>++stet</code></a>
645+<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stet' title="Add faces to rangeparser pairs in list"><code>++stet</code></a>
646646<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stew' title="Switch by first"><code>++stew</code></a>
647647<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stir' title="Parse repeatedly"><code>++stir</code></a>
648648<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stun' title="Parse several times"><code>++stun</code></a>
649649<a class="tooltip" href='/docs/hoon/reference/stdlib/1a/#sub' title="Subtract"><code>++sub</code></a>
650−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-ff' title="Subtract from IEEE float"><code>++sub:ff</code></a>
651−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-fl' title="Subtract from signed and unsigned integer cells"><code>++sub:fl</code></a>
652−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-rd' title="Subtract from double-precision float"><code>++sub:rd</code></a>
653−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-rh' title="Subtract from half-precision float"><code>++sub:rh</code></a>
654−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-rs' title="Subtract from single-precision float"><code>++sub:rs</code></a>
655−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-rq' title="Subtract from quad-precision float"><code>++sub:rq</code></a>
656−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sum-fe' title="Sum two numbers in modular field"><code>++sum:fe</code></a>
657−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sum-fo' title="Modular sum"><code>++sum:fo</code></a>
658−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sum-si' title="Addition (signed integer)"><code>++sum:si</code></a>
659−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-ff' title="Unsigned integer to IEEE float"><code>++sun:ff</code></a>
660−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-fl' title="Unsigned integer to float"><code>++sun:fl</code></a>
661−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-rd' title="Unsigned integer to double-precision float"><code>++sun:rd</code></a>
662−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-rh' title="Unsigned integer to half-precision float"><code>++sun:rh</code></a>
663−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-rs' title="Unsigned integer to single-precision float"><code>++sun:rs</code></a>
664−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-rq' title="Unsigned integer to quad-precision float"><code>++sun:rq</code></a>
665−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sun-si' title="@u to @s"><code>++sun:si</code></a>
650+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subff' title="Subtract from IEEE float"><code>++sub:ff</code></a>
651+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subfl' title="Subtract from signed and unsigned integer cells"><code>++sub:fl</code></a>
652+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subrd' title="Subtract from doubleprecision float"><code>++sub:rd</code></a>
653+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subrh' title="Subtract from halfprecision float"><code>++sub:rh</code></a>
654+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subrs' title="Subtract from singleprecision float"><code>++sub:rs</code></a>
655+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subrq' title="Subtract from quadprecision float"><code>++sub:rq</code></a>
656+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sumfe' title="Sum two numbers in modular field"><code>++sum:fe</code></a>
657+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sumfo' title="Modular sum"><code>++sum:fo</code></a>
658+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sumsi' title="Addition (signed integer)"><code>++sum:si</code></a>
659+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunff' title="Unsigned integer to IEEE float"><code>++sun:ff</code></a>
660+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunfl' title="Unsigned integer to float"><code>++sun:fl</code></a>
661+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunrd' title="Unsigned integer to doubleprecision float"><code>++sun:rd</code></a>
662+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunrh' title="Unsigned integer to halfprecision float"><code>++sun:rh</code></a>
663+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunrs' title="Unsigned integer to singleprecision float"><code>++sun:rs</code></a>
664+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunrq' title="Unsigned integer to quadprecision float"><code>++sun:rq</code></a>
665+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sunsi' title="@u to @s"><code>++sun:si</code></a>
666666<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#swag' title="Infix (list)"><code>++swag</code></a>
667667<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#swp' title="Reverse block order"><code>++swp</code></a>
668−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#swr-fl' title="Switch rounding mode of floating point"><code>++swr:fl</code></a>
669−<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#sy' title="Produce set from null-terminated noun"><code>++sy</code></a>
668+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#swrfl' title="Switch rounding mode of floating point"><code>++swr:fl</code></a>
669+<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#sy' title="Produce set from nullterminated noun"><code>++sy</code></a>
670670<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#sym' title="Term"><code>++sym</code></a>
671−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#syn-fl' title="Get sign"><code>++syn:fl</code></a>
672−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#syn-si' title="Sign test"><code>++syn:si</code></a>
671+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#synfl' title="Get sign"><code>++syn:fl</code></a>
672+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#synsi' title="Sign test"><code>++syn:si</code></a>
673673
674674### t
675675
676676<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#tail' title="Get tail of cell"><code>++tail</code></a>
677−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#tap-to' title="Queue to list"><code>++tap:to</code></a>
677+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#tapto' title="Queue to list"><code>++tap:to</code></a>
678678<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#tar' title="Parse * (tar)"><code>++tar</code></a>
679679<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tang' title="Generic print structure"><code>++tang</code></a>
680−<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tank' title="Pretty-printing structure"><code>++tank</code></a>
681−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#tap-by' title="Listify pairs"><code>++tap:by</code></a>
682−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#tap-in' title="Flatten set into list"><code>++tap:in</code></a>
680+<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tank' title="Prettyprinting structure"><code>++tank</code></a>
681+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#tapby' title="Listify pairs"><code>++tap:by</code></a>
682+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#tapin' title="Flatten set into list"><code>++tap:in</code></a>
683683<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tape' title="List of characters"><code>++tape</code></a>
684684<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tarp' title="Parsed time"><code>++tarp</code></a>
685−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#tash-so' title="Parse signed dime"><code>++tash:so</code></a>
685+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#tashso' title="Parse signed dime"><code>++tash:so</code></a>
686686<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#tec' title="Parse ` (tec)"><code>++tec</code></a>
687−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ted-ab' title="Parse decimal number with <= 3 digits"><code>++ted:ab</code></a>
688−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#teff' title="UTF-8 length"><code>++teff</code></a>
689−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#teil-ob' title="Reverse Feistel-like cipher"><code>++teil:ob</code></a>
687+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tedab' title="Parse decimal number with <= 3 digits"><code>++ted:ab</code></a>
688+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#teff' title="UTF8 length"><code>++teff</code></a>
689+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#teilob' title="Reverse Feistellike cipher"><code>++teil:ob</code></a>
690690<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#term' title="Hoon constant"><code>++term</code></a>
691691<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#test' title="Test for equality"><code>++test</code></a>
692−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tid-ab' title="Parse 3 decimal digits"><code>++tid:ab</code></a>
692+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tidab' title="Parse 3 decimal digits"><code>++tid:ab</code></a>
693693<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tiki' title="(Undocumented)"><code>++tiki</code></a>
694−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#til-ab' title="Parse 3 lowercase letters"><code>++til:ab</code></a>
695−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tip-ab' title="Leading phonetic byte"><code>++tip:ab</code></a>
696−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tiq-ab' title="Trailing phonetic syllable"><code>++tiq:ab</code></a>
694+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tilab' title="Parse 3 lowercase letters"><code>++til:ab</code></a>
695+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tipab' title="Leading phonetic byte"><code>++tip:ab</code></a>
696+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tiqab' title="Trailing phonetic syllable"><code>++tiq:ab</code></a>
697697<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#tis' title="Parse = (tis)"><code>++tis</code></a>
698698<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#to' title="Queue operations"><code>++to</code></a>
699−<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#tod-po' title="Fetch suffix"><code>++tod:po</code></a>
699+<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#todpo' title="Fetch suffix"><code>++tod:po</code></a>
700700<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#toga' title="Tree of faces"><code>++toga</code></a>
701−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toi-ff' title="Round IEEE float to nearest signed integer"><code>++toi:ff</code></a>
702−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toi-fl' title="Round float to nearest signed integer"><code>++toi:fl</code></a>
703−<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>
704−<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>
705−<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>
706−<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>
707−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toj-fl' title="Round unsigned and signed integer to float"><code>++toj:fl</code></a>
701+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toiff' title="Round IEEE float to nearest signed integer"><code>++toi:ff</code></a>
702+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toifl' title="Round float to nearest signed integer"><code>++toi:fl</code></a>
703+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toird' title="Round doubleprecision float to nearest signed integer"><code>++toi:rd</code></a>
704+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toirh' title="Round halfprecision float to nearest signed integer"><code>++toi:rh</code></a>
705+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toirs' title="Round singleprecision float to nearest signed integer"><code>++toi:rs</code></a>
706+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toirq' title="Round quadprecision float to nearest signed integer"><code>++toi:rq</code></a>
707+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#tojfl' title="Round unsigned and signed integer to float"><code>++toj:fl</code></a>
708708<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#tone' title="Nock result (error report)"><code>++tone</code></a>
709709<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#toon' title="Nock result (stack trace)"><code>++toon</code></a>
710−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#top-to' title="Produce head of queue"><code>++top:to</code></a>
711−<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#tos-po' title="Fetch prefix"><code>++tos:po</code></a>
712−<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>
710+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#topto' title="Produce head of queue"><code>++top:to</code></a>
711+<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#tospo' title="Fetch prefix"><code>++tos:po</code></a>
712+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#tosrh' title="Convert halfprecision float to singleprecision float"><code>++tos:rh</code></a>
713713<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#trap' title="Core with one arm $"><code>++trap</code></a>
714714<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#tree' title="Mold generator (tree)"><code>++tree</code></a>
715715<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#trel' title="Mold generator (tuple of three types)"><code>++trel</code></a>
716716<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#trim' title="Tape split"><code>++trim</code></a>
717717<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#trip' title="Cord to tape"><code>++trip</code></a>
718−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tuba' title="UTF-8 to UTF-32 tape"><code>++tuba</code></a>
719−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tufa' title="UTF-32 to UTF-8 tape"><code>++tufa</code></a>
718+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tuba' title="UTF8 to UTF32 tape"><code>++tuba</code></a>
719+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tufa' title="UTF32 to UTF8 tape"><code>++tufa</code></a>
720720<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tuna' title="XML template tree"><code>++tuna</code></a>
721−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tuft' title="UTF-32 to UTF-8 text"><code>++tuft</code></a>
722−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#turf' title="UTF-8 to UTF-32 cord"><code>++turf</code></a>
721+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tuft' title="UTF32 to UTF8 text"><code>++tuft</code></a>
722+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#turf' title="UTF8 to UTF32 cord"><code>++turf</code></a>
723723<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#turn' title="Gate to list"><code>++turn</code></a>
724724<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tusk' title="List of expressions"><code>++tusk</code></a>
725−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#twid-so' title="Parse coins without ~ prefix"><code>++twid:so</code></a>
725+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#twidso' title="Parse coins without ~ prefix"><code>++twid:so</code></a>
726726<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tyke' title="List of 'maybe' hoons"><code>++tyke</code></a>
727727<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#typo' title="Pointer for ++type"><code>++typo</code></a>
728728<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#tyre' title="List, term hoon"><code>++tyre</code></a>
@@ -730,57 +730,57 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
730730### u
731731
732732<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#un' title="Reversible scrambling"><code>++un</code></a>
733−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#uni-by' title="Union (map between keys of two lists)"><code>++uni:by</code></a>
734−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#uni-fl' title="Change representation to odd"><code>++uni:fl</code></a>
735−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#uni-in' title="Union (sets)"><code>++uni:in</code></a>
733+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#uniby' title="Union (map between keys of two lists)"><code>++uni:by</code></a>
734+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#unifl' title="Change representation to odd"><code>++uni:fl</code></a>
735+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#uniin' title="Union (sets)"><code>++uni:in</code></a>
736736<a class="tooltip" href='/docs/hoon/reference/stdlib/1c/#unit' title="Mold generator (maybe)"><code>++unit</code></a>
737−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#urn-by' title="Turn (with key) (map)"><code>++urn:by</code></a>
738−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#urs-ab' title="Parse span characters"><code>++urs:ab</code></a>
739−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#urt-ab' title="Parse non-_ span"><code>++urt:ab</code></a>
737+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#urnby' title="Turn (with key) (map)"><code>++urn:by</code></a>
738+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ursab' title="Parse span characters"><code>++urs:ab</code></a>
739+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#urtab' title="Parse non_ span"><code>++urt:ab</code></a>
740740
741741### v
742742
743−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#v-ne' title="Render base 32"><code>++v:ne</code></a>
743+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#vne' title="Render base 32"><code>++v:ne</code></a>
744744<code>++vang</code>
745745<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#vase' title="Typed data"><code>++vase</code></a>
746746<code>++vast</code>
747747<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#ven' title="Axis syntax parser"><code>++ven</code></a>
748748<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#vise' title="Convert during reboot"><code>++vise</code></a>
749749<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#vit' title="Parse base 64 digit"><code>++vit</code></a>
750−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#viz-ag' title="Parse base 32 digit with dot separators"><code>++viz:ag</code></a>
750+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#vizag' title="Parse base 32 digit with dot separators"><code>++viz:ag</code></a>
751751<a class="tooltip" href='/docs/hoon/reference/stdlib/2f/#vor' title="Vertical order"><code>++vor</code></a>
752−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#voy-ab' title="Parse bas, soq, or bix"><code>++voy:ab</code></a>
752+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#voyab' title="Parse bas, soq, or bix"><code>++voy:ab</code></a>
753753<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#vul' title="Comments to null"><code>++vul</code></a>
754−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#vum-ag' title="Parse base 32 string"><code>++vum:ag</code></a>
754+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#vumag' title="Parse base 32 string"><code>++vum:ag</code></a>
755755
756756### w
757757
758−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#w-ne' title="Render base 64 digit"><code>++w:ne</code></a>
758+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#wne' title="Render base 64 digit"><code>++w:ne</code></a>
759759<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wack' title="Coin format encode"><code>++wack</code></a>
760760<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#wain' title="List of cords"><code>++wain</code></a>
761761<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#wall' title="List of list of characters"><code>++wall</code></a>
762762<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#weld' title="Concatenate two lists"><code>++weld</code></a>
763−<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#weld-nl' title="Concatenate null-terminated nouns"><code>++weld:nl</code></a>
763+<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#weldnl' title="Concatenate nullterminated nouns"><code>++weld:nl</code></a>
764764<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#welp' title="Perfect concatenate (lists)"><code>++welp</code></a>
765765<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wick' title="Coin format decode"><code>++wick</code></a>
766−<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#wig-re' title="++win - render tape"><code>++wig:re</code></a>
767−<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#win-re' title="Render at indent"><code>++win:re</code></a>
766+<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#wigre' title="++win render tape"><code>++wig:re</code></a>
767+<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#winre' title="Render at indent"><code>++win:re</code></a>
768768<a class="tooltip" href='/docs/hoon/reference/stdlib/4o/#wing' title="Address in subject"><code>++wing</code></a>
769−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#wiz-ag' title="Parse base 64 number"><code>++wiz:ag</code></a>
769+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#wizag' title="Parse base 64 number"><code>++wiz:ag</code></a>
770770<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#woad' title="Unescape cord"><code>++woad</code></a>
771771<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wood' title="Escape cord"><code>++wood</code></a>
772772<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#wonk' title="Product from edge"><code>++wonk</code></a>
773−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#wred-un' title="Restore structure"><code>++wred:un</code></a>
774−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#wren-un' title="Conceal structure"><code>++wren:un</code></a>
773+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#wredun' title="Restore structure"><code>++wred:un</code></a>
774+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#wrenun' title="Conceal structure"><code>++wren:un</code></a>
775775<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#wut' title="Parse ? (wut)"><code>++wut</code></a>
776−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#wyt-by' title="Produce depth of tree map"><code>++wyt:by</code></a>
777−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#wyt-in' title="Produce number of elements in set"><code>++wyt:in</code></a>
776+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#wytby' title="Produce depth of tree map"><code>++wyt:by</code></a>
777+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#wytin' title="Produce number of elements in set"><code>++wyt:in</code></a>
778778
779779### x
780780
781−<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>
781+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#xne' title="Render hexadecimal digit as atom of ASCII byte value"><code>++x:ne</code></a>
782782<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#xeb' title="Binary logarithm"><code>++xeb</code></a>
783−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#xpd-fl' title="Expand signed and unsigned integer cell"><code>++xpd:fl</code></a>
783+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#xpdfl' title="Expand signed and unsigned integer cell"><code>++xpd:fl</code></a>
784784
785785### y
786786
@@ -788,25 +788,25 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
788788<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yawn' title="Days since beginning of time"><code>++yawn</code></a>
789789<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#year' title="Date to @d"><code>++year</code></a>
790790<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yell' title="Tarp from atomic date"><code>++yell</code></a>
791−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yelp' title="Determine if leap-week"><code>++yelp</code></a>
792−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yer-yo' title="Seconds in year"><code>++yer:yo</code></a>
791+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yelp' title="Determine if leapweek"><code>++yelp</code></a>
792+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yeryo' title="Seconds in year"><code>++yer:yo</code></a>
793793<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yo' title="Time constants core"><code>++yo</code></a>
794794<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yore' title="Date from atomic date"><code>++yore</code></a>
795795<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yule' title="Daily time to time atom"><code>++yule</code></a>
796796
797797### z
798798
799−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zaft-un' title="Look up in 255 sub box"><code>++zaft:un</code></a>
800−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zag-mu' title="Add bottom into top"><code>++zag:mu</code></a>
799+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zaftun' title="Look up in 255 sub box"><code>++zaft:un</code></a>
800+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zagmu' title="Add bottom into top"><code>++zag:mu</code></a>
801801<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#zap' title="Parse ! (zap)"><code>++zap</code></a>
802−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zart-un' title="Reverse look up in 255 sub box"><code>++zart:un</code></a>
803−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#zer-fl' title="Produce zero as float"><code>++zer:fl</code></a>
804−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zig-mu' title="Subtract bottom from top"><code>++zig:mu</code></a>
802+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zartun' title="Reverse look up in 255 sub box"><code>++zart:un</code></a>
803+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#zerfl' title="Produce zero as float"><code>++zer:fl</code></a>
804+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zigmu' title="Subtract bottom from top"><code>++zig:mu</code></a>
805805<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>
806−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zug-mu' title="Concatenate into atom"><code>++zug:mu</code></a>
807−<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>
808−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zyft-un' title="Lookup byte in 256 sub box"><code>++zyft:un</code></a>
809−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zyrt-un' title="Reverse lookup byte in 256 sub box"><code>++zyrt:un</code></a>
806+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zugmu' title="Concatenate into atom"><code>++zug:mu</code></a>
807+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#zustso' title="Parse prefixed dimes from IP, loobean, or floating point"><code>++zust:so</code></a>
808+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zyftun' title="Lookup byte in 256 sub box"><code>++zyft:un</code></a>
809+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zyrtun' title="Reverse lookup byte in 256 sub box"><code>++zyrt:un</code></a>
810810
811811## By Section
812812
@@ -851,7 +851,7 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
851851### 2a: unit logic
852852
853853<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#biff' title="Unit as argument"><code>++biff</code></a>
854−<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#bind' title="Non-unit function to unit, producing unit"><code>++bind</code></a>
854+<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#bind' title="Nonunit function to unit, producing unit"><code>++bind</code></a>
855855<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#bond' title="Replace null"><code>++bond</code></a>
856856<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#both' title="Group unit values into pair"><code>++both</code></a>
857857<a class="tooltip" href='/docs/hoon/reference/stdlib/2a/#clap' title="Apply function to two units"><code>++clap</code></a>
@@ -873,7 +873,7 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
873873<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#lent' title="List length"><code>++lent</code></a>
874874<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#levy' title="Logical AND on list"><code>++levy</code></a>
875875<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#lien' title="Logical OR on list"><code>++lien</code></a>
876−<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#limo' title="Construct list from null-terminated tuple"><code>++limo</code></a>
876+<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#limo' title="Construct list from nullterminated tuple"><code>++limo</code></a>
877877<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#murn' title="Maybe transform"><code>++murn</code></a>
878878<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#oust' title="Remove from list"><code>++oust</code></a>
879879<a class="tooltip" href='/docs/hoon/reference/stdlib/2b/#reap' title="Replicate (list)"><code>++reap</code></a>
@@ -898,14 +898,14 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
898898### 2c: bit arithmetic
899899
900900<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#fe' title="Modulo bloq"><code>++fe</code></a>
901−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#dif-fe' title="Difference between atoms (modular basis)"><code>++dif:fe</code></a>
902−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#inv-fe' title="Inverse order of modular field"><code>++inv:fe</code></a>
903−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#net-fe' title="Flip endianness"><code>++net:fe</code></a>
904−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#out-fe' title="Maximum integer value"><code>++out:fe</code></a>
905−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rol-fe' title="Roll left"><code>++rol:fe</code></a>
906−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#ror-fe' title="Roll right"><code>++ror:fe</code></a>
907−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sit-fe' title="Enforce modulo"><code>++sit:fe</code></a>
908−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sum-fe' title="Sum two numbers in modular field"><code>++sum:fe</code></a>
901+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#diffe' title="Difference between atoms (modular basis)"><code>++dif:fe</code></a>
902+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#invfe' title="Inverse order of modular field"><code>++inv:fe</code></a>
903+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#netfe' title="Flip endianness"><code>++net:fe</code></a>
904+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#outfe' title="Maximum integer value"><code>++out:fe</code></a>
905+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rolfe' title="Roll left"><code>++rol:fe</code></a>
906+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rorfe' title="Roll right"><code>++ror:fe</code></a>
907+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sitfe' title="Enforce modulo"><code>++sit:fe</code></a>
908+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#sumfe' title="Sum two numbers in modular field"><code>++sum:fe</code></a>
909909
910910<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#bex' title="Binary exponent"><code>++bex</code></a>
911911<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#can' title="Assemble"><code>++can</code></a>
@@ -913,12 +913,12 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
913913<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#cut' title="Slice"><code>++cut</code></a>
914914<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#end' title="Tail"><code>++end</code></a>
915915<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#fil' title="Fill bloqstream"><code>++fil</code></a>
916−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#lsh' title="Left-shift"><code>++lsh</code></a>
916+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#lsh' title="Leftshift"><code>++lsh</code></a>
917917<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#met' title="Measure"><code>++met</code></a>
918−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rap' title="Assemble non-zero"><code>++rap</code></a>
918+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rap' title="Assemble nonzero"><code>++rap</code></a>
919919<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rep' title="Assemble single"><code>++rep</code></a>
920920<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rip' title="Disassemble"><code>++rip</code></a>
921−<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rsh' title="Right-shift"><code>++rsh</code></a>
921+<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#rsh' title="Rightshift"><code>++rsh</code></a>
922922<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#swp' title="Reverse block order"><code>++swp</code></a>
923923<a class="tooltip" href='/docs/hoon/reference/stdlib/2c/#xeb' title="Binary logarithm"><code>++xeb</code></a>
924924
@@ -932,9 +932,9 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
932932### 2e: insecure hashing
933933
934934<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#fnv' title="FNV scrambler"><code>++fnv</code></a>
935−<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#mug' title="FNV-1a scrambler"><code>++mug</code></a>
935+<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#mug' title="FNV1a scrambler"><code>++mug</code></a>
936936<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#muk' title="Standard MurmurHash3"><code>++muk</code></a>
937−<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#mum' title="31-bit MurmurHash3 scrambler"><code>++mum</code></a>
937+<a class="tooltip" href='/docs/hoon/reference/stdlib/2e/#mum' title="31bit MurmurHash3 scrambler"><code>++mum</code></a>
938938
939939### 2f: noun ordering
940940
@@ -953,72 +953,72 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
953953### 2h: set logic
954954
955955<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#in'><code>++in</code></a>
956−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#all-in' title="Logical AND (set and wet gate)"><code>++all:in</code></a>
957−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#any-in' title="Logical OR (set and gate)"><code>++any:in</code></a>
958−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#apt-in' title="Check correctness (set)"><code>++apt:in</code></a>
959−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#bif-in' title="Bifurcate set"><code>++bif:in</code></a>
960−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#del-in' title="Delete (set)"><code>++del:in</code></a>
961−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#dif-in' title='Difference (set)'><code>++dif:in</code></a>
962−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#dig-in' title="Address of a in set"><code>++dig:in</code></a>
963−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#gas-in' title="Concatenate (set)"><code>++gas:in</code></a>
964−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#has-in' title="Key existence check (set)"><code>++has:in</code></a>
965−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#int-in' title="Intersection (set)"><code>++int:in</code></a>
966−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#put-in' title="Put b in a (set)"><code>++put:in</code></a>
967−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#rep-in' title="Accumulate elements (set)"><code>++rep:in</code></a>
968−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#run-in' title="Apply gate to set"><code>++run:in</code></a>
969−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#tap-in' title="Flatten set into list"><code>++tap:in</code></a>
970−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#uni-in' title="Union (sets)"><code>++uni:in</code></a>
971−<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#wyt-in' title="Produce number of elements in set"><code>++wyt:in</code></a>
956+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#allin' title="Logical AND (set and wet gate)"><code>++all:in</code></a>
957+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#anyin' title="Logical OR (set and gate)"><code>++any:in</code></a>
958+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#aptin' title="Check correctness (set)"><code>++apt:in</code></a>
959+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#bifin' title="Bifurcate set"><code>++bif:in</code></a>
960+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#delin' title="Delete (set)"><code>++del:in</code></a>
961+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#difin' title='Difference (set)'><code>++dif:in</code></a>
962+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#digin' title="Address of a in set"><code>++dig:in</code></a>
963+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#gasin' title="Concatenate (set)"><code>++gas:in</code></a>
964+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#hasin' title="Key existence check (set)"><code>++has:in</code></a>
965+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#intin' title="Intersection (set)"><code>++int:in</code></a>
966+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#putin' title="Put b in a (set)"><code>++put:in</code></a>
967+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#repin' title="Accumulate elements (set)"><code>++rep:in</code></a>
968+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#runin' title="Apply gate to set"><code>++run:in</code></a>
969+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#tapin' title="Flatten set into list"><code>++tap:in</code></a>
970+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#uniin' title="Union (sets)"><code>++uni:in</code></a>
971+<a class="tooltip" href='/docs/hoon/reference/stdlib/2h/#wytin' title="Produce number of elements in set"><code>++wyt:in</code></a>
972972
973973### 2i: map logic
974974
975975<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#by' title="Map operations"><code>++by</code></a>
976−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#all-by' title="Logical AND (map and wet gate)"><code>++all:by</code></a>
977−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#any-by' title="Logical OR (map and wet gate)"><code>++any:by</code></a>
978−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#apt-by' title="Check correctness (map)"><code>++apt:by</code></a>
979−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#bif-by' title="Bifurcate map"><code>++bif:by</code></a>
980−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#del-by' title="Delete (map)"><code>++del:by</code></a>
981−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#dig-by' title="Address of key (map)"><code>++dig:by</code></a>
982−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#gas-by' title="Concatenate (map)"><code>++gas:by</code></a>
983−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#get-by' title="Grab unit value"><code>++get:by</code></a>
984−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#got-by' title="Assert for value (map)"><code>++got:by</code></a>
985−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#has-by' title="Key existence check (map)"><code>++has:by</code></a>
986−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#int-by' title="Intersection (map)"><code>++int:by</code></a>
987−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#mar-by' title="Assert and add (map)"><code>++mar:by</code></a>
988−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#put-by' title="Add key-value pair (map)"><code>++put:by</code></a>
989−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#rep-by' title="Replace by product (map)"><code>++rep:by</code></a>
990−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#rib-by' title="Replace values with accumulator (map)"><code>++rib:by</code></a>
991−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#run-by' title="Transform values (map)"><code>++run:by</code></a>
992−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#rut-by' title="Transform nodes (map)"><code>++rut:by</code></a>
993−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#tap-by' title="Listify pairs"><code>++tap:by</code></a>
994−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#uni-by' title="Union (map between keys of two lists)"><code>++uni:by</code></a>
995−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#urn-by' title="Turn (with key) (map)"><code>++urn:by</code></a>
996−<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#wyt-by' title="Produce depth of tree map"><code>++wyt:by</code></a>
976+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#allby' title="Logical AND (map and wet gate)"><code>++all:by</code></a>
977+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#anyby' title="Logical OR (map and wet gate)"><code>++any:by</code></a>
978+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#aptby' title="Check correctness (map)"><code>++apt:by</code></a>
979+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#bifby' title="Bifurcate map"><code>++bif:by</code></a>
980+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#delby' title="Delete (map)"><code>++del:by</code></a>
981+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#digby' title="Address of key (map)"><code>++dig:by</code></a>
982+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#gasby' title="Concatenate (map)"><code>++gas:by</code></a>
983+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#getby' title="Grab unit value"><code>++get:by</code></a>
984+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#gotby' title="Assert for value (map)"><code>++got:by</code></a>
985+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#hasby' title="Key existence check (map)"><code>++has:by</code></a>
986+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#intby' title="Intersection (map)"><code>++int:by</code></a>
987+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#marby' title="Assert and add (map)"><code>++mar:by</code></a>
988+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#putby' title="Add keyvalue pair (map)"><code>++put:by</code></a>
989+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#repby' title="Replace by product (map)"><code>++rep:by</code></a>
990+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#ribby' title="Replace values with accumulator (map)"><code>++rib:by</code></a>
991+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#runby' title="Transform values (map)"><code>++run:by</code></a>
992+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#rutby' title="Transform nodes (map)"><code>++rut:by</code></a>
993+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#tapby' title="Listify pairs"><code>++tap:by</code></a>
994+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#uniby' title="Union (map between keys of two lists)"><code>++uni:by</code></a>
995+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#urnby' title="Turn (with key) (map)"><code>++urn:by</code></a>
996+<a class="tooltip" href='/docs/hoon/reference/stdlib/2i/#wytby' title="Produce depth of tree map"><code>++wyt:by</code></a>
997997
998998### 2j: jar and jug logic
999999
10001000<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#ja' title="Jar engine"><code>++ja</code></a>
1001−<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#add-ja' title="Prepend to list"><code>++add:ja</code></a>
1002−<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#get-ja' title="Grab value by key"><code>++get:ja</code></a>
1001+<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#addja' title="Prepend to list"><code>++add:ja</code></a>
1002+<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#getja' title="Grab value by key"><code>++get:ja</code></a>
10031003
10041004<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#ju' title="Jug operations"><code>++ju</code></a>
1005−<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#del-ju' title="Delete (jug)"><code>++del:ju</code></a>
1006−<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#get-ju' title="Retrieve set"><code>++get:ju</code></a>
1007−<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#has-ju' title="Check contents (jug)"><code>++has:ju</code></a>
1008−<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#put-ju' title="Add key-set pair (jar)"><code>++put:ju</code></a>
1005+<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#delju' title="Delete (jug)"><code>++del:ju</code></a>
1006+<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#getju' title="Retrieve set"><code>++get:ju</code></a>
1007+<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#hasju' title="Check contents (jug)"><code>++has:ju</code></a>
1008+<a class="tooltip" href='/docs/hoon/reference/stdlib/2j/#putju' title="Add keyset pair (jar)"><code>++put:ju</code></a>
10091009
10101010### 2k: queue logic
10111011
10121012<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#to' title="Queue operations"><code>++to</code></a>
1013−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#bal-to' title="Balance queue"><code>++bal:to</code></a>
1014−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#dep-to' title="Maximum depth (queue)"><code>++dep:to</code></a>
1015−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#gas-to' title="Push list into queue"><code>++gas:to</code></a>
1016−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#get-to' title="Head-tail pair"><code>++get:to</code></a>
1017−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#nap-to' title="Remove head of queue"><code>++nap:to</code></a>
1018−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#nip-to' title="Remove root of queue"><code>++nip:to</code></a>
1019−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#put-to' title="Insert into queue"><code>++put:to</code></a>
1020−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#tap-to' title="Queue to list"><code>++tap:to</code></a>
1021−<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#top-to' title="Produce head of queue"><code>++top:to</code></a>
1013+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#balto' title="Balance queue"><code>++bal:to</code></a>
1014+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#depto' title="Maximum depth (queue)"><code>++dep:to</code></a>
1015+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#gasto' title="Push list into queue"><code>++gas:to</code></a>
1016+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#getto' title="Headtail pair"><code>++get:to</code></a>
1017+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#napto' title="Remove head of queue"><code>++nap:to</code></a>
1018+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#nipto' title="Remove root of queue"><code>++nip:to</code></a>
1019+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#putto' title="Insert into queue"><code>++put:to</code></a>
1020+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#tapto' title="Queue to list"><code>++tap:to</code></a>
1021+<a class="tooltip" href='/docs/hoon/reference/stdlib/2k/#topto' title="Produce head of queue"><code>++top:to</code></a>
10221022
10231023### 2l: container from container
10241024
@@ -1029,21 +1029,21 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
10291029### 2m: container from noun
10301030
10311031<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#nl' title="Noun to container operations"><code>++nl</code></a>
1032−<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#le-nl' title="Construct list from null-terminated noun"><code>++le:nl</code></a>
1033−<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#my-nl' title="Construct map from null-terminated noun"><code>++my:nl</code></a>
1034−<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#si-nl' title="Construct set from null-terminated noun"><code>++si:nl</code></a>
1035−<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>
1036−<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#weld-nl' title="Concatenate null-terminated nouns"><code>++weld:nl</code></a>
1032+<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#lenl' title="Construct list from nullterminated noun"><code>++le:nl</code></a>
1033+<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#mynl' title="Construct map from nullterminated noun"><code>++my:nl</code></a>
1034+<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#sinl' title="Construct set from nullterminated noun"><code>++si:nl</code></a>
1035+<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#snagnl' title="Produce element from list at specific nullterminated noun"><code>++snag:nl</code></a>
1036+<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#weldnl' title="Concatenate nullterminated nouns"><code>++weld:nl</code></a>
10371037
10381038<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#ly' title="List from raw noun"><code>++ly</code></a>
10391039<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#my' title="Map from raw noun"><code>++my</code></a>
1040−<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#sy' title="Produce set from null-terminated noun"><code>++sy</code></a>
1040+<a class="tooltip" href='/docs/hoon/reference/stdlib/2m/#sy' title="Produce set from nullterminated noun"><code>++sy</code></a>
10411041
10421042### 2n: functional hacks
10431043
10441044<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#cork' title="Compose forward"><code>++cork</code></a>
10451045<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#corl' title="Compose backward"><code>++corl</code></a>
1046−<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#curr' title="Right-curry a gate"><code>++curr</code></a>
1046+<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#curr' title="Rightcurry a gate"><code>++curr</code></a>
10471047<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#cury' title="Curry left a gate"><code>++cury</code></a>
10481048<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#hard' title="Force remold"><code>++hard</code></a>
10491049<a class="tooltip" href='/docs/hoon/reference/stdlib/2n/#head' title="Get head of cell"><code>++head</code></a>
@@ -1066,17 +1066,17 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
10661066
10671067<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#cue' title="Unpack atom to noun"><code>++cue</code></a>
10681068<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#jam' title="Pack noun to atom"><code>++jam</code></a>
1069−<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#mat' title="Length-encode"><code>++mat</code></a>
1070−<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#rub' title="Length-decode"><code>++rub</code></a>
1069+<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#mat' title="Lengthencode"><code>++mat</code></a>
1070+<a class="tooltip" href='/docs/hoon/reference/stdlib/2p/#rub' title="Lengthdecode"><code>++rub</code></a>
10711071
10721072### 2q: molds and mold builders
10731073
10741074<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#char' title="Character"><code>++char</code></a>
1075−<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#cord' title="UTF-8 text"><code>++cord</code></a>
1075+<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#cord' title="UTF8 text"><code>++cord</code></a>
10761076<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#date' title="Point in time"><code>++date</code></a>
10771077<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#knot' title="Atom type of ASCII characters"><code>++knot</code></a>
10781078<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tang' title="Generic print structure"><code>++tang</code></a>
1079−<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tank' title="Pretty-printing structure"><code>++tank</code></a>
1079+<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tank' title="Prettyprinting structure"><code>++tank</code></a>
10801080<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tape' title="List of characters"><code>++tape</code></a>
10811081<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#tarp' title="Parsed time"><code>++tarp</code></a>
10821082<a class="tooltip" href='/docs/hoon/reference/stdlib/2q/#term' title="Hoon constant"><code>++term</code></a>
@@ -1086,27 +1086,27 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
10861086### 3a: modular and signed ints
10871087
10881088<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#fo' title="Modulo prime"><code>++fo</code></a>
1089−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#dif-fo' title='Subtraction (modular base)'><code>++dif:fo</code></a>
1090−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#exp-fo' title="Exponent (modular base)"><code>++exp:fo</code></a>
1091−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#fra-fo' title="Divide (modular base)"><code>++fra:fo</code></a>
1092−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#inv-fo' title="Inverse (signed modulus)"><code>++inv:fo</code></a>
1093−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#pro-fo' title="Multiplies b and c modulo a"><code>++pro:fo</code></a>
1094−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sit-fo' title="Produce remainder of b modulo a"><code>++sit:fo</code></a>
1095−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sum-fo' title="Modular sum"><code>++sum:fo</code></a>
1089+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#diffo' title='Subtraction (modular base)'><code>++dif:fo</code></a>
1090+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#expfo' title="Exponent (modular base)"><code>++exp:fo</code></a>
1091+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#frafo' title="Divide (modular base)"><code>++fra:fo</code></a>
1092+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#invfo' title="Inverse (signed modulus)"><code>++inv:fo</code></a>
1093+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#profo' title="Multiplies b and c modulo a"><code>++pro:fo</code></a>
1094+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sitfo' title="Produce remainder of b modulo a"><code>++sit:fo</code></a>
1095+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sumfo' title="Modular sum"><code>++sum:fo</code></a>
10961096
10971097<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#si' title="Signed integer"><code>++si</code></a>
1098−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#abs-si' title="Absolute value (signed integer)"><code>++abs:si</code></a>
1099−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#cmp-si' title="Compare (signed integer)"><code>++cmp:si</code></a>
1100−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#dif-si' title="Subtraction (signed integer)"><code>++dif:si</code></a>
1101−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#dul-si' title="Modulus (signed integer)"><code>++dul:si</code></a>
1102−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#fra-si' title="Divide (signed integer)"><code>++fra:si</code></a>
1103−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#new-si' title="Atom to @s"><code>++new:si</code></a>
1104−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#old-si' title="Sign and absolute value"><code>++old:si</code></a>
1105−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#pro-si' title="Multiply to signed integer"><code>++pro:si</code></a>
1106−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#rem-si' title="Remainder (signed integer)"><code>++rem:si</code></a>
1107−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sum-si' title="Addition (signed integer)"><code>++sum:si</code></a>
1108−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sun-si' title="@u to @s"><code>++sun:si</code></a>
1109−<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#syn-si' title="Sign test"><code>++syn:si</code></a>
1098+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#abssi' title="Absolute value (signed integer)"><code>++abs:si</code></a>
1099+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#cmpsi' title="Compare (signed integer)"><code>++cmp:si</code></a>
1100+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#difsi' title="Subtraction (signed integer)"><code>++dif:si</code></a>
1101+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#dulsi' title="Modulus (signed integer)"><code>++dul:si</code></a>
1102+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#frasi' title="Divide (signed integer)"><code>++fra:si</code></a>
1103+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#newsi' title="Atom to @s"><code>++new:si</code></a>
1104+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#oldsi' title="Sign and absolute value"><code>++old:si</code></a>
1105+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#prosi' title="Multiply to signed integer"><code>++pro:si</code></a>
1106+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#remsi' title="Remainder (signed integer)"><code>++rem:si</code></a>
1107+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sumsi' title="Addition (signed integer)"><code>++sum:si</code></a>
1108+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#sunsi' title="@u to @s"><code>++sun:si</code></a>
1109+<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#synsi' title="Sign test"><code>++syn:si</code></a>
11101110
11111111<a class="tooltip" href='/docs/hoon/reference/stdlib/3a/#egcd' title="Extended Euclidean algorithm"><code>++egcd</code></a>
11121112
@@ -1117,167 +1117,167 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
11171117<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rn'><code>++rn</code></a>
11181118
11191119<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ff'><code>++ff</code></a>
1120−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-ff' title="Add (floating point)"><code>++add:ff</code></a>
1121−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bif-ff' title="Converts from fn to @r"><code>++bif:ff</code></a>
1122−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-ff' title="fn to @r with rounding"><code>++bit:ff</code></a>
1123−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-ff' title="Divide (IEEE float)"><code>++div:ff</code></a>
1124−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-ff' title="@r to decimal float"><code>++drg:ff</code></a>
1125−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-ff' title="Equals (IEEE float)"><code>++equ:ff</code></a>
1126−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-ff' title="Get exponent (IEEE float)"><code>++exp:ff</code></a>
1127−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-ff' title="Fused multiply-add (IEEE float)"><code>++fma:ff</code></a>
1128−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-ff' title="Decimal float to @r"><code>++grd:ff</code></a>
1129−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-ff' title="Greater than / equal (IEEE float)"><code>++gte:ff</code></a>
1130−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-ff' title="Greater than (IEEE float)"><code>++gth:ff</code></a>
1131−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-ff' title="Less than / equal (IEEE float)"><code>++lte:ff</code></a>
1132−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-ff' title="Less than (IEEE float)"><code>++lth:ff</code></a>
1133−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#me-ff' title="Minimum exponent of ff"><code>++me:ff</code></a>
1134−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-ff' title="Multiply (IEEE float)"><code>++mul:ff</code></a>
1135−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#pa-ff' title="Initialize fl from ff core"><code>++pa:ff</code></a>
1136−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-ff' title="Signed integer to @r"><code>++san:ff</code></a>
1137−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sb-ff' title="Sign bit"><code>++sb:ff</code></a>
1138−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-ff' title="Convert from IEEE float to fn"><code>++sea:ff</code></a>
1139−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-ff' title="Produce sign of IEEE float"><code>++sig:ff</code></a>
1140−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-ff' title="Produce square root from IEEE float"><code>++sqt:ff</code></a>
1141−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-ff' title="Subtract from IEEE float"><code>++sub:ff</code></a>
1142−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-ff' title="Unsigned integer to IEEE float"><code>++sun:ff</code></a>
1143−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toi-ff' title="Round IEEE float to nearest signed integer"><code>++toi:ff</code></a>
1120+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addff' title="Add (floating point)"><code>++add:ff</code></a>
1121+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bifff' title="Converts from fn to @r"><code>++bif:ff</code></a>
1122+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitff' title="fn to @r with rounding"><code>++bit:ff</code></a>
1123+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divff' title="Divide (IEEE float)"><code>++div:ff</code></a>
1124+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgff' title="@r to decimal float"><code>++drg:ff</code></a>
1125+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equff' title="Equals (IEEE float)"><code>++equ:ff</code></a>
1126+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#expff' title="Get exponent (IEEE float)"><code>++exp:ff</code></a>
1127+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmaff' title="Fused multiplyadd (IEEE float)"><code>++fma:ff</code></a>
1128+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdff' title="Decimal float to @r"><code>++grd:ff</code></a>
1129+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gteff' title="Greater than / equal (IEEE float)"><code>++gte:ff</code></a>
1130+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthff' title="Greater than (IEEE float)"><code>++gth:ff</code></a>
1131+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lteff' title="Less than / equal (IEEE float)"><code>++lte:ff</code></a>
1132+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthff' title="Less than (IEEE float)"><code>++lth:ff</code></a>
1133+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#meff' title="Minimum exponent of ff"><code>++me:ff</code></a>
1134+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulff' title="Multiply (IEEE float)"><code>++mul:ff</code></a>
1135+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#paff' title="Initialize fl from ff core"><code>++pa:ff</code></a>
1136+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanff' title="Signed integer to @r"><code>++san:ff</code></a>
1137+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sbff' title="Sign bit"><code>++sb:ff</code></a>
1138+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#seaff' title="Convert from IEEE float to fn"><code>++sea:ff</code></a>
1139+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigff' title="Produce sign of IEEE float"><code>++sig:ff</code></a>
1140+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtff' title="Produce square root from IEEE float"><code>++sqt:ff</code></a>
1141+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subff' title="Subtract from IEEE float"><code>++sub:ff</code></a>
1142+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunff' title="Unsigned integer to IEEE float"><code>++sun:ff</code></a>
1143+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toiff' title="Round IEEE float to nearest signed integer"><code>++toi:ff</code></a>
11441144
11451145<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fl'><code>++fl</code></a>
1146−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#abs-fl' title="Absolute value"><code>++abs:fl</code></a>
1147−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-fl' title="Add (with exact/rounded flag)"><code>++add:fl</code></a>
1148−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#den-fl' title="Denormalizes (floating point)"><code>++den:fl</code></a>
1149−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-fl' title="Divide (signed and unsigned integer cell)"><code>++div:fl</code></a>
1150−<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>
1151−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ead-fl' title="Exact add"><code>++ead:fl</code></a>
1152−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emn-fl' title="Minimum exponent"><code>++emn:fl</code></a>
1153−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emu-fl' title="Exact multiply"><code>++emu:fl</code></a>
1154−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emx-fl' title="Maximum exponent"><code>++emx:fl</code></a>
1155−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-fl' title="Equals (signed and unsigned integer cell)"><code>++equ:fl</code></a>
1156−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fli-fl' title="Flip sign"><code>++fli:fl</code></a>
1157−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-fl' title="Fused multiply-add"><code>++fma:fl</code></a>
1158−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-fl' title="Decimal to float"><code>++grd:fl</code></a>
1159−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-fl' title="Greater than / equal (producing flag)"><code>++gte:fl</code></a>
1160−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-fl' title="Greater than (producing flag)"><code>++gth:fl</code></a>
1161−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ibl-fl' title="Integer binary logarithm"><code>++ibl:fl</code></a>
1162−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#inv-fl' title="Inverse"><code>++inv:fl</code></a>
1163−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lfe-fl' title="Maximum"><code>++lfe:fl</code></a>
1164−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lfn-fl' title="Largest normal float"><code>++lfn:fl</code></a>
1165−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-fl' title="Less than / equal (producing flag)"><code>++lte:fl</code></a>
1166−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-fl' title="Less than (signed and unsigned integer cell)"><code>++lth:fl</code></a>
1167−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lug-fl' title="Central rounding mechanism"><code>++lug:fl</code></a>
1168−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-fl' title="Multiply (signed and unsigned integer cell)"><code>++mul:fl</code></a>
1169−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ned-fl' title="Require float"><code>++ned:fl</code></a>
1170−<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>
1171−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rau-fl' title="Various roundings (floating point)"><code>++rau:fl</code></a>
1172−<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>
1173−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-fl' title="Signed integer to float"><code>++san:fl</code></a>
1174−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#shf-fl' title="Shift power"><code>++shf:fl</code></a>
1175−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#spd-fl' title="Produce smallest denormalized float"><code>++spd:fl</code></a>
1176−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#spn-fl' title="Produce smallest normal float"><code>++spn:fl</code></a>
1177−<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>
1178−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-fl' title="Subtract from signed and unsigned integer cells"><code>++sub:fl</code></a>
1179−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-fl' title="Unsigned integer to float"><code>++sun:fl</code></a>
1180−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#swr-fl' title="Switch rounding mode of floating point"><code>++swr:fl</code></a>
1181−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#syn-fl' title="Get sign"><code>++syn:fl</code></a>
1182−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toi-fl' title="Round float to nearest signed integer"><code>++toi:fl</code></a>
1183−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toj-fl' title="Round unsigned and signed integer to float"><code>++toj:fl</code></a>
1184−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#uni-fl' title="Change representation to odd"><code>++uni:fl</code></a>
1185−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#xpd-fl' title="Expand signed and unsigned integer cell"><code>++xpd:fl</code></a>
1186−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#zer-fl' title="Produce zero as float"><code>++zer:fl</code></a>
1146+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#absfl' title="Absolute value"><code>++abs:fl</code></a>
1147+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addfl' title="Add (with exact/rounded flag)"><code>++add:fl</code></a>
1148+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#denfl' title="Denormalizes (floating point)"><code>++den:fl</code></a>
1149+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divfl' title="Divide (signed and unsigned integer cell)"><code>++div:fl</code></a>
1150+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgfl' title="Get printable decimal (signed and unsigned integer cell)"><code>++drg:fl</code></a>
1151+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#eadfl' title="Exact add"><code>++ead:fl</code></a>
1152+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emnfl' title="Minimum exponent"><code>++emn:fl</code></a>
1153+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emufl' title="Exact multiply"><code>++emu:fl</code></a>
1154+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#emxfl' title="Maximum exponent"><code>++emx:fl</code></a>
1155+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equfl' title="Equals (signed and unsigned integer cell)"><code>++equ:fl</code></a>
1156+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#flifl' title="Flip sign"><code>++fli:fl</code></a>
1157+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmafl' title="Fused multiplyadd"><code>++fma:fl</code></a>
1158+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdfl' title="Decimal to float"><code>++grd:fl</code></a>
1159+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gtefl' title="Greater than / equal (producing flag)"><code>++gte:fl</code></a>
1160+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthfl' title="Greater than (producing flag)"><code>++gth:fl</code></a>
1161+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#iblfl' title="Integer binary logarithm"><code>++ibl:fl</code></a>
1162+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#invfl' title="Inverse"><code>++inv:fl</code></a>
1163+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lfefl' title="Maximum"><code>++lfe:fl</code></a>
1164+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lfnfl' title="Largest normal float"><code>++lfn:fl</code></a>
1165+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ltefl' title="Less than / equal (producing flag)"><code>++lte:fl</code></a>
1166+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthfl' title="Less than (signed and unsigned integer cell)"><code>++lth:fl</code></a>
1167+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lugfl' title="Central rounding mechanism"><code>++lug:fl</code></a>
1168+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulfl' title="Multiply (signed and unsigned integer cell)"><code>++mul:fl</code></a>
1169+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#nedfl' title="Require float"><code>++ned:fl</code></a>
1170+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#prcfl' title="Force precision of 2 or greater (floating point)"><code>++prc:fl</code></a>
1171+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#raufl' title="Various roundings (floating point)"><code>++rau:fl</code></a>
1172+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#roufl' title="Round to nearest float with 113bit significand"><code>++rou:fl</code></a>
1173+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanfl' title="Signed integer to float"><code>++san:fl</code></a>
1174+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#shffl' title="Shift power"><code>++shf:fl</code></a>
1175+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#spdfl' title="Produce smallest denormalized float"><code>++spd:fl</code></a>
1176+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#spnfl' title="Produce smallest normal float"><code>++spn:fl</code></a>
1177+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtfl' title="Produce square root from signed and unsigned integer cell"><code>++sqt:fl</code></a>
1178+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subfl' title="Subtract from signed and unsigned integer cells"><code>++sub:fl</code></a>
1179+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunfl' title="Unsigned integer to float"><code>++sun:fl</code></a>
1180+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#swrfl' title="Switch rounding mode of floating point"><code>++swr:fl</code></a>
1181+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#synfl' title="Get sign"><code>++syn:fl</code></a>
1182+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toifl' title="Round float to nearest signed integer"><code>++toi:fl</code></a>
1183+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#tojfl' title="Round unsigned and signed integer to float"><code>++toj:fl</code></a>
1184+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#unifl' title="Change representation to odd"><code>++uni:fl</code></a>
1185+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#xpdfl' title="Expand signed and unsigned integer cell"><code>++xpd:fl</code></a>
1186+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#zerfl' title="Produce zero as float"><code>++zer:fl</code></a>
11871187
11881188<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rd'><code>++rd</code></a>
1189−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-rd' title="Add (double-precision float)"><code>++add:rd</code></a>
1190−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-rd' title="fn to double-precision binary float"><code>++bit:rd</code></a>
1191−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-rd' title="Double precision float"><code>++div:rd</code></a>
1192−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-rd' title="@rd to decimal float"><code>++drg:rd</code></a>
1193−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-rd' title="Equals (double-precision float)"><code>++equ:rd</code></a>
1194−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-rd' title="Exponent (@rd)"><code>++exp:rd</code></a>
1195−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-rd' title="Fused multiply-add (@rd)"><code>++fma:rd</code></a>
1196−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-rd' title="Decimal float to @rd"><code>++grd:rd</code></a>
1197−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-rd' title="Greater than / equal (double-precision float)"><code>++gte:rd</code></a>
1198−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-rd' title="Greater than (double-precision float)"><code>++gth:rd</code></a>
1199−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-rd' title="Less than / equal (double-precision float)"><code>++lte:rd</code></a>
1200−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-rd' title="Less than (double-precision float)"><code>++lth:rd</code></a>
1201−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ma-rd' title="Initialize ff (rd core)"><code>++ma:rd</code></a>
1202−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-rd' title="Multiply (double-precision float)"><code>++mul:rd</code></a>
1203−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-rd' title="Unsigned integer to @rd"><code>++san:rd</code></a>
1204−<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>
1205−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-rd' title="Produce sign of @rd"><code>++sig:rd</code></a>
1206−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-rd' title="Produce square root of double-precision float"><code>++sqt:rd</code></a>
1207−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-rd' title="Subtract from double-precision float"><code>++sub:rd</code></a>
1208−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-rd' title="Unsigned integer to double-precision float"><code>++sun:rd</code></a>
1209−<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>
1189+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addrd' title="Add (doubleprecision float)"><code>++add:rd</code></a>
1190+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitrd' title="fn to doubleprecision binary float"><code>++bit:rd</code></a>
1191+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divrd' title="Double precision float"><code>++div:rd</code></a>
1192+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgrd' title="@rd to decimal float"><code>++drg:rd</code></a>
1193+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equrd' title="Equals (doubleprecision float)"><code>++equ:rd</code></a>
1194+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exprd' title="Exponent (@rd)"><code>++exp:rd</code></a>
1195+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmard' title="Fused multiplyadd (@rd)"><code>++fma:rd</code></a>
1196+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdrd' title="Decimal float to @rd"><code>++grd:rd</code></a>
1197+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gterd' title="Greater than / equal (doubleprecision float)"><code>++gte:rd</code></a>
1198+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthrd' title="Greater than (doubleprecision float)"><code>++gth:rd</code></a>
1199+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lterd' title="Less than / equal (doubleprecision float)"><code>++lte:rd</code></a>
1200+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthrd' title="Less than (doubleprecision float)"><code>++lth:rd</code></a>
1201+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mard' title="Initialize ff (rd core)"><code>++ma:rd</code></a>
1202+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulrd' title="Multiply (doubleprecision float)"><code>++mul:rd</code></a>
1203+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanrd' title="Unsigned integer to @rd"><code>++san:rd</code></a>
1204+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#seard' title="Convert from doubleprecision binary float to fn"><code>++sea:rd</code></a>
1205+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigrd' title="Produce sign of @rd"><code>++sig:rd</code></a>
1206+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtrd' title="Produce square root of doubleprecision float"><code>++sqt:rd</code></a>
1207+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subrd' title="Subtract from doubleprecision float"><code>++sub:rd</code></a>
1208+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunrd' title="Unsigned integer to doubleprecision float"><code>++sun:rd</code></a>
1209+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toird' title="Round doubleprecision float to nearest signed integer"><code>++toi:rd</code></a>
12101210
12111211<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rh'><code>++rh</code></a>
1212−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-rh' title="Add (half-precision float)"><code>++add:rh</code></a>
1213−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-rh' title="fn to half-precision float"><code>++bit:rh</code></a>
1214−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-rh' title="Divide (half-precision float)"><code>++div:rh</code></a>
1215−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-rh' title="@rh to decimal float"><code>++drg:rh</code></a>
1216−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-rh' title="Equals (half-precision float)"><code>++equ:rh</code></a>
1217−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-rh' title="Exponent (half-precision float)"><code>++exp:rh</code></a>
1218−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-rh' title="Fused multiply-add (half-precision float)"><code>++fma:rh</code></a>
1219−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fos-rh' title="@rs to @rh"><code>++fos:rh</code></a>
1220−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-rh' title="Decimal float to @rh"><code>++grd:rh</code></a>
1221−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-rh' title="Greater than / equal (half-precision float)"><code>++gte:rh</code></a>
1222−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-rh' title="Greater than (half-precision float)"><code>++gth:rh</code></a>
1223−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-rh' title="Less than / equal (half-precision float)"><code>++lte:rh</code></a>
1224−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-rh' title="Less than (half-precision float)"><code>++lth:rh</code></a>
1225−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ma-rh' title="Initialize ff (rh core)"><code>++ma:rh</code></a>
1226−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-rh' title="Multiply (quad-precision float)"><code>++mul:rh</code></a>
1227−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-rh' title="Signed integer to @rh"><code>++san:rh</code></a>
1228−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-rh' title="Convert from half-precision float to fn"><code>++sea:rh</code></a>
1229−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-rh' title="Produce sign of half-precision float"><code>++sig:rh</code></a>
1230−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-rh' title="Produce square root of half-precision float"><code>++sqt:rh</code></a>
1231−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-rh' title="Subtract from half-precision float"><code>++sub:rh</code></a>
1232−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-rh' title="Unsigned integer to half-precision float"><code>++sun:rh</code></a>
1233−<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>
1234−<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>
1212+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addrh' title="Add (halfprecision float)"><code>++add:rh</code></a>
1213+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitrh' title="fn to halfprecision float"><code>++bit:rh</code></a>
1214+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divrh' title="Divide (halfprecision float)"><code>++div:rh</code></a>
1215+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgrh' title="@rh to decimal float"><code>++drg:rh</code></a>
1216+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equrh' title="Equals (halfprecision float)"><code>++equ:rh</code></a>
1217+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exprh' title="Exponent (halfprecision float)"><code>++exp:rh</code></a>
1218+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmarh' title="Fused multiplyadd (halfprecision float)"><code>++fma:rh</code></a>
1219+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fosrh' title="@rs to @rh"><code>++fos:rh</code></a>
1220+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdrh' title="Decimal float to @rh"><code>++grd:rh</code></a>
1221+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gterh' title="Greater than / equal (halfprecision float)"><code>++gte:rh</code></a>
1222+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthrh' title="Greater than (halfprecision float)"><code>++gth:rh</code></a>
1223+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lterh' title="Less than / equal (halfprecision float)"><code>++lte:rh</code></a>
1224+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthrh' title="Less than (halfprecision float)"><code>++lth:rh</code></a>
1225+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#marh' title="Initialize ff (rh core)"><code>++ma:rh</code></a>
1226+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulrh' title="Multiply (quadprecision float)"><code>++mul:rh</code></a>
1227+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanrh' title="Signed integer to @rh"><code>++san:rh</code></a>
1228+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#searh' title="Convert from halfprecision float to fn"><code>++sea:rh</code></a>
1229+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigrh' title="Produce sign of halfprecision float"><code>++sig:rh</code></a>
1230+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtrh' title="Produce square root of halfprecision float"><code>++sqt:rh</code></a>
1231+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subrh' title="Subtract from halfprecision float"><code>++sub:rh</code></a>
1232+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunrh' title="Unsigned integer to halfprecision float"><code>++sun:rh</code></a>
1233+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toirh' title="Round halfprecision float to nearest signed integer"><code>++toi:rh</code></a>
1234+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#tosrh' title="Convert halfprecision float to singleprecision float"><code>++tos:rh</code></a>
12351235
12361236<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rs'><code>++rs</code></a>
1237−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-rs' title="Add (single-precision float)"><code>++add:rs</code></a>
1238−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-rs' title="fn to single-precision float"><code>++bit:rs</code></a>
1239−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-rs' title="Divide (single-precision float)"><code>++div:rs</code></a>
1240−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-rs' title="@rs to decimal float"><code>++drg:rs</code></a>
1241−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-rs' title="Equals (single-precision float)"><code>++equ:rs</code></a>
1242−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-rs' title="Exponent (@rs)"><code>++exp:rs</code></a>
1243−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-rs' title="Fused multiply-add (single-precision float)"><code>++fma:rs</code></a>
1244−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-rs' title="Decimal float to @rs"><code>++grd:rs</code></a>
1245−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-rs' title="Greater than / equal (single-precision float)"><code>++gte:rs</code></a>
1246−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-rs' title="Greater than (single-precision float)"><code>++gth:rs</code></a>
1247−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-rs' title="Less than / equal (single-precision float)"><code>++lte:rs</code></a>
1248−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-rs' title="Less than (single-precision float)"><code>++lth:rs</code></a>
1249−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ma-rs' title="Initialize ff (rs core)"><code>++ma:rs</code></a>
1250−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-rs' title="Multiply (single-precision float)"><code>++mul:rs</code></a>
1251−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-rs' title="Signed integer to @rs"><code>++san:rs</code></a>
1252−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-rs' title="Convert from single-precision float to fn"><code>++sea:rs</code></a>
1253−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-rs' title="Produce sign of @rs"><code>++sig:rs</code></a>
1254−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-rs' title="Produce square root of single-precision float"><code>++sqt:rs</code></a>
1255−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-rs' title="Subtract from single-precision float"><code>++sub:rs</code></a>
1256−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-rs' title="Unsigned integer to single-precision float"><code>++sun:rs</code></a>
1257−<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>
1237+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addrs' title="Add (singleprecision float)"><code>++add:rs</code></a>
1238+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitrs' title="fn to singleprecision float"><code>++bit:rs</code></a>
1239+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divrs' title="Divide (singleprecision float)"><code>++div:rs</code></a>
1240+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgrs' title="@rs to decimal float"><code>++drg:rs</code></a>
1241+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equrs' title="Equals (singleprecision float)"><code>++equ:rs</code></a>
1242+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exprs' title="Exponent (@rs)"><code>++exp:rs</code></a>
1243+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmars' title="Fused multiplyadd (singleprecision float)"><code>++fma:rs</code></a>
1244+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdrs' title="Decimal float to @rs"><code>++grd:rs</code></a>
1245+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gters' title="Greater than / equal (singleprecision float)"><code>++gte:rs</code></a>
1246+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthrs' title="Greater than (singleprecision float)"><code>++gth:rs</code></a>
1247+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lters' title="Less than / equal (singleprecision float)"><code>++lte:rs</code></a>
1248+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthrs' title="Less than (singleprecision float)"><code>++lth:rs</code></a>
1249+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mars' title="Initialize ff (rs core)"><code>++ma:rs</code></a>
1250+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulrs' title="Multiply (singleprecision float)"><code>++mul:rs</code></a>
1251+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanrs' title="Signed integer to @rs"><code>++san:rs</code></a>
1252+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sears' title="Convert from singleprecision float to fn"><code>++sea:rs</code></a>
1253+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigrs' title="Produce sign of @rs"><code>++sig:rs</code></a>
1254+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtrs' title="Produce square root of singleprecision float"><code>++sqt:rs</code></a>
1255+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subrs' title="Subtract from singleprecision float"><code>++sub:rs</code></a>
1256+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunrs' title="Unsigned integer to singleprecision float"><code>++sun:rs</code></a>
1257+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toirs' title="Round singleprecision float to nearest signed integer"><code>++toi:rs</code></a>
12581258
12591259<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rq'><code>++rq</code></a>
1260−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#add-rq' title="Add (quad-precision float)"><code>++add:rq</code></a>
1261−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bit-rq' title="fn to quad-precision float"><code>++bit:rq</code></a>
1262−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#div-rq' title="Divide (quad-precision float)"><code>++div:rq</code></a>
1263−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drg-rq' title="@rq to decimal float"><code>++drg:rq</code></a>
1264−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equ-rq' title="Equals (quad-precision float)"><code>++equ:rq</code></a>
1265−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exp-rq' title="Exponent (quad-precision float)"><code>++exp:rq</code></a>
1266−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fma-rq' title="Fused multiply-add (quad-precision float)"><code>++fma:rq</code></a>
1267−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grd-rq' title="Decimal float to @rq"><code>++grd:rq</code></a>
1268−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gte-rq' title="Greater than / equal (quad-precision float)"><code>++gte:rq</code></a>
1269−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gth-rq' title="Greater than (quad-precision float)"><code>++gth:rq</code></a>
1270−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lte-rq' title="Less than / equal (quad-precision float)"><code>++lte:rq</code></a>
1271−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lth-rq' title="Less than (quad-precision float)"><code>++lth:rq</code></a>
1272−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#ma-rq' title="Initialize ff (rq core)"><code>++ma:rq</code></a>
1273−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mul-rq' title="Multiply (quad-precision float)"><code>++mul:rq</code></a>
1274−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#san-rq' title="Signed integer to @rq"><code>++san:rq</code></a>
1275−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sea-rq' title="Convert from quad-precision float to fn"><code>++sea:rq</code></a>
1276−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sig-rq' title="Produce sign of quad-precision float"><code>++sig:rq</code></a>
1277−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqt-rq' title="Produce square root of quad-precision float"><code>++sqt:rq</code></a>
1278−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sub-rq' title="Subtract from quad-precision float"><code>++sub:rq</code></a>
1279−<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sun-rq' title="Unsigned integer to quad-precision float"><code>++sun:rq</code></a>
1280−<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>
1260+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#addrq' title="Add (quadprecision float)"><code>++add:rq</code></a>
1261+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#bitrq' title="fn to quadprecision float"><code>++bit:rq</code></a>
1262+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#divrq' title="Divide (quadprecision float)"><code>++div:rq</code></a>
1263+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#drgrq' title="@rq to decimal float"><code>++drg:rq</code></a>
1264+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#equrq' title="Equals (quadprecision float)"><code>++equ:rq</code></a>
1265+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#exprq' title="Exponent (quadprecision float)"><code>++exp:rq</code></a>
1266+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#fmarq' title="Fused multiplyadd (quadprecision float)"><code>++fma:rq</code></a>
1267+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#grdrq' title="Decimal float to @rq"><code>++grd:rq</code></a>
1268+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gterq' title="Greater than / equal (quadprecision float)"><code>++gte:rq</code></a>
1269+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#gthrq' title="Greater than (quadprecision float)"><code>++gth:rq</code></a>
1270+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lterq' title="Less than / equal (quadprecision float)"><code>++lte:rq</code></a>
1271+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#lthrq' title="Less than (quadprecision float)"><code>++lth:rq</code></a>
1272+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#marq' title="Initialize ff (rq core)"><code>++ma:rq</code></a>
1273+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#mulrq' title="Multiply (quadprecision float)"><code>++mul:rq</code></a>
1274+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sanrq' title="Signed integer to @rq"><code>++san:rq</code></a>
1275+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#searq' title="Convert from quadprecision float to fn"><code>++sea:rq</code></a>
1276+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sigrq' title="Produce sign of quadprecision float"><code>++sig:rq</code></a>
1277+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sqtrq' title="Produce square root of quadprecision float"><code>++sqt:rq</code></a>
1278+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#subrq' title="Subtract from quadprecision float"><code>++sub:rq</code></a>
1279+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#sunrq' title="Unsigned integer to quadprecision float"><code>++sun:rq</code></a>
1280+<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#toirq' title="Round quadprecision float to nearest signed integer"><code>++toi:rq</code></a>
12811281
12821282<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rlyd'><code>++rlyd</code></a>
12831283<a class="tooltip" href='/docs/hoon/reference/stdlib/3b/#rlyh'><code>++rlyh</code></a>
@@ -1291,43 +1291,43 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
12911291### 3c: urbit time
12921292
12931293<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yo' title="Time constants core"><code>++yo</code></a>
1294−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#cet-yo' title="Days in a century"><code>++cet:yo</code></a>
1295−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#day-yo' title="Seconds in day"><code>++day:yo</code></a>
1296−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#era-yo' title="Leap-year period"><code>++era:yo</code></a>
1297−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#hor-yo' title="Seconds in hour"><code>++hor:yo</code></a>
1298−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#jes-yo' title="Maximum 64-bit timestamp"><code>++jes:yo</code></a>
1299−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#mit-yo' title="Seconds in minute"><code>++mit:yo</code></a>
1300−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#moh-yo' title="Days in month"><code>++moh:yo</code></a>
1301−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#moy-yo' title="Days in months of leap-year"><code>++moy:yo</code></a>
1302−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#qad-yo' title="Seconds in 4 years"><code>++qad:yo</code></a>
1303−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yer-yo' title="Seconds in year"><code>++yer:yo</code></a>
1294+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#cetyo' title="Days in a century"><code>++cet:yo</code></a>
1295+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#dayyo' title="Seconds in day"><code>++day:yo</code></a>
1296+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#erayo' title="Leapyear period"><code>++era:yo</code></a>
1297+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#horyo' title="Seconds in hour"><code>++hor:yo</code></a>
1298+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#jesyo' title="Maximum 64bit timestamp"><code>++jes:yo</code></a>
1299+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#mityo' title="Seconds in minute"><code>++mit:yo</code></a>
1300+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#mohyo' title="Days in month"><code>++moh:yo</code></a>
1301+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#moyyo' title="Days in months of leapyear"><code>++moy:yo</code></a>
1302+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#qadyo' title="Seconds in 4 years"><code>++qad:yo</code></a>
1303+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yeryo' title="Seconds in year"><code>++yer:yo</code></a>
13041304
13051305<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yall' title="Time since beginning of time"><code>++yall</code></a>
13061306<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yawn' title="Days since beginning of time"><code>++yawn</code></a>
13071307<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#year' title="Date to @d"><code>++year</code></a>
13081308<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yell' title="Tarp from atomic date"><code>++yell</code></a>
1309−<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yelp' title="Determine if leap-week"><code>++yelp</code></a>
1309+<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yelp' title="Determine if leapweek"><code>++yelp</code></a>
13101310<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yore' title="Date from atomic date"><code>++yore</code></a>
13111311<a class="tooltip" href='/docs/hoon/reference/stdlib/3c/#yule' title="Daily time to time atom"><code>++yule</code></a>
13121312
13131313### 3d: SHA hash family
13141314
1315−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#og' title="Container arm for SHA-256 powered RNG"><code>++og</code></a>
1316−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#rad-og' title="Random in range"><code>++rad:og</code></a>
1317−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#rads-og' title="Random continuation"><code>++rads:og</code></a>
1318−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#raw-og' title="Random bits"><code>++raw:og</code></a>
1319−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#raws-og' title="Random bits continuation"><code>++raws:og</code></a>
1320−
1321−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shad' title="Double SHA-256"><code>++shad</code></a>
1322−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaf' title="Half SHA-256"><code>++shaf</code></a>
1323−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shal' title="SHA-512 with length"><code>++shal</code></a>
1324−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#sham' title="128-bit noun hash"><code>++sham</code></a>
1325−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shan' title="SHA-1"><code>++shan</code></a>
1315+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#og' title="Container arm for SHA256 powered RNG"><code>++og</code></a>
1316+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#radog' title="Random in range"><code>++rad:og</code></a>
1317+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#radsog' title="Random continuation"><code>++rads:og</code></a>
1318+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#rawog' title="Random bits"><code>++raw:og</code></a>
1319+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#rawsog' title="Random bits continuation"><code>++raws:og</code></a>
1320+
1321+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shad' title="Double SHA256"><code>++shad</code></a>
1322+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaf' title="Half SHA256"><code>++shaf</code></a>
1323+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shal' title="SHA512 with length"><code>++shal</code></a>
1324+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#sham' title="128bit noun hash"><code>++sham</code></a>
1325+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shan' title="SHA1"><code>++shan</code></a>
13261326<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shas' title="Salted hash"><code>++shas</code></a>
13271327<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaw' title="Hash to nbits"><code>++shaw</code></a>
1328−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shax' title="SHA-256"><code>++shax</code></a>
1329−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shay' title="SHA-256 with length"><code>++shay</code></a>
1330−<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaz' title="SHA-512"><code>++shaz</code></a>
1328+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shax' title="SHA256"><code>++shax</code></a>
1329+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shay' title="SHA256 with length"><code>++shay</code></a>
1330+<a class="tooltip" href='/docs/hoon/reference/stdlib/3d/#shaz' title="SHA512"><code>++shaz</code></a>
13311331
13321332### 3e: AES encryption
13331333
@@ -1336,28 +1336,28 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
13361336### 3f: scrambling
13371337
13381338<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#ob' title="Reversible scrambling v2"><code>++ob</code></a>
1339−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#feen-ob' title="Conceal structure v2"><code>++feen:ob</code></a>
1340−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#fend-ob' title="Restore structure v2"><code>++fend:ob</code></a>
1341−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#fice-ob' title="Feistel-like cipher"><code>++fice:ob</code></a>
1342−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#raku-ob' title="Key list"><code>++raku:ob</code></a>
1343−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#rund-ob' title="Reverse single Feistel-like"><code>++rund:ob</code></a>
1344−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#rynd-ob' title="Reverse Feistel-like cipher"><code>++rynd:ob</code></a>
1345−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#teil-ob' title="Reverse Feistel-like cipher"><code>++teil:ob</code></a>
1339+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#feenob' title="Conceal structure v2"><code>++feen:ob</code></a>
1340+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#fendob' title="Restore structure v2"><code>++fend:ob</code></a>
1341+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#ficeob' title="Feistellike cipher"><code>++fice:ob</code></a>
1342+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#rakuob' title="Key list"><code>++raku:ob</code></a>
1343+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#rundob' title="Reverse single Feistellike"><code>++rund:ob</code></a>
1344+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#ryndob' title="Reverse Feistellike cipher"><code>++rynd:ob</code></a>
1345+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#teilob' title="Reverse Feistellike cipher"><code>++teil:ob</code></a>
13461346
13471347<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#un' title="Reversible scrambling"><code>++un</code></a>
1348−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#wred-un' title="Restore structure"><code>++wred:un</code></a>
1349−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#wren-un' title="Conceal structure"><code>++wren:un</code></a>
1350−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#xafo-un'><code>++xafo:un</code></a>
1351−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#xaro-un'><code>++xaro:un</code></a>
1352−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zaft-un' title="Look up in 255 sub box"><code>++zaft:un</code></a>
1353−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zart-un' title="Reverse look up in 255 sub box"><code>++zart:un</code></a>
1354−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zyft-un' title="Lookup byte in 256 sub box"><code>++zyft:un</code></a>
1355−<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zyrt-un' title="Reverse lookup byte in 256 sub box"><code>++zyrt:un</code></a>
1348+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#wredun' title="Restore structure"><code>++wred:un</code></a>
1349+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#wrenun' title="Conceal structure"><code>++wren:un</code></a>
1350+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#xafoun'><code>++xafo:un</code></a>
1351+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#xaroun'><code>++xaro:un</code></a>
1352+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zaftun' title="Look up in 255 sub box"><code>++zaft:un</code></a>
1353+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zartun' title="Reverse look up in 255 sub box"><code>++zart:un</code></a>
1354+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zyftun' title="Lookup byte in 256 sub box"><code>++zyft:un</code></a>
1355+<a class="tooltip" href='/docs/hoon/reference/stdlib/3f/#zyrtun' title="Reverse lookup byte in 256 sub box"><code>++zyrt:un</code></a>
13561356
13571357### 3g: molds and mold builders
13581358
1359−<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#coin' title="Noun-literal syntax cases"><code>++coin</code></a>
1360−<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#dime' title="Aura-atom pair"><code>++dime</code></a>
1359+<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#coin' title="Nounliteral syntax cases"><code>++coin</code></a>
1360+<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#dime' title="Auraatom pair"><code>++dime</code></a>
13611361<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#edge' title="Parsing location metadata"><code>++edge</code></a>
13621362<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#hair' title="Parsing line and column"><code>++hair</code></a>
13631363<a class="tooltip" href='/docs/hoon/reference/stdlib/3g/#like' title="Generic edge"><code>++like</code></a>
@@ -1373,41 +1373,41 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
13731373### 4a: exotic bases
13741374
13751375<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#po' title="Phonetic base"><code>++po</code></a>
1376−<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#ind-po' title="Parse suffix"><code>++ind:po</code></a>
1377−<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#ins-po' title="Parse prefix"><code>++ins:po</code></a>
1378−<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#tod-po' title="Fetch suffix"><code>++tod:po</code></a>
1379−<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#tos-po' title="Fetch prefix"><code>++tos:po</code></a>
1376+<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#indpo' title="Parse suffix"><code>++ind:po</code></a>
1377+<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#inspo' title="Parse prefix"><code>++ins:po</code></a>
1378+<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#todpo' title="Fetch suffix"><code>++tod:po</code></a>
1379+<a class="tooltip" href='/docs/hoon/reference/stdlib/4a/#tospo' title="Fetch prefix"><code>++tos:po</code></a>
13801380
13811381### 4b: text processing
13821382
13831383<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#at' title="(Undocumented)"><code>++at</code></a>
1384−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#r-at' title="(Undocumented)"><code>++r:at</code></a>
1385−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rf-at' title="(Undocumented)"><code>++rf:at</code></a>
1386−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rn-at' title="(Undocumented)"><code>++rn:at</code></a>
1387−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rt-at' title="(Undocumented)"><code>++rt:at</code></a>
1388−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rta-at' title="(Undocumented)"><code>++rta:at</code></a>
1389−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rtam-at' title="(Undocumented)"><code>++rtam:at</code></a>
1390−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rub-at' title="(Undocumented)"><code>++rub:at</code></a>
1391−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rud-at' title="(Undocumented)"><code>++rud:at</code></a>
1392−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rum-at' title="(Undocumented)"><code>++rum:at</code></a>
1393−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rup-at' title="(Undocumented)"><code>++rup:at</code></a>
1394−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#ruv-at' title="(Undocumented)"><code>++ruv:at</code></a>
1395−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rux-at' title="(Undocumented)"><code>++rux:at</code></a>
1384+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rat' title="(Undocumented)"><code>++r:at</code></a>
1385+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rfat' title="(Undocumented)"><code>++rf:at</code></a>
1386+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rnat' title="(Undocumented)"><code>++rn:at</code></a>
1387+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rtat' title="(Undocumented)"><code>++rt:at</code></a>
1388+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rtaat' title="(Undocumented)"><code>++rta:at</code></a>
1389+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rtamat' title="(Undocumented)"><code>++rtam:at</code></a>
1390+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rubat' title="(Undocumented)"><code>++rub:at</code></a>
1391+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rudat' title="(Undocumented)"><code>++rud:at</code></a>
1392+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rumat' title="(Undocumented)"><code>++rum:at</code></a>
1393+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#rupat' title="(Undocumented)"><code>++rup:at</code></a>
1394+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#ruvat' title="(Undocumented)"><code>++ruv:at</code></a>
1395+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#ruxat' title="(Undocumented)"><code>++rux:at</code></a>
13961396
13971397<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#cass' title="To lowercase"><code>++cass</code></a>
13981398<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#crip' title="Tape to cord"><code>++crip</code></a>
13991399<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#cuss' title="To uppercase"><code>++cuss</code></a>
14001400<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#mesc' title="Escape special characters"><code>++mesc</code></a>
14011401<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#runt' title="Prepend n times"><code>++runt</code></a>
1402−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#sand' title="Soft-cast by aura"><code>++sand</code></a>
1402+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#sand' title="Softcast by aura"><code>++sand</code></a>
14031403<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#sane' title="Check aura validity"><code>++sane</code></a>
1404−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#teff' title="UTF-8 length"><code>++teff</code></a>
1404+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#teff' title="UTF8 length"><code>++teff</code></a>
14051405<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#trim' title="Tape split"><code>++trim</code></a>
14061406<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#trip' title="Cord to tape"><code>++trip</code></a>
1407−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tuba' title="UTF-8 to UTF-32 tape"><code>++tuba</code></a>
1408−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tufa' title="UTF-32 to UTF-8 tape"><code>++tufa</code></a>
1409−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tuft' title="UTF-32 to UTF-8 text"><code>++tuft</code></a>
1410−<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#turf' title="UTF-8 to UTF-32 cord"><code>++turf</code></a>
1407+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tuba' title="UTF8 to UTF32 tape"><code>++tuba</code></a>
1408+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tufa' title="UTF32 to UTF8 tape"><code>++tufa</code></a>
1409+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#tuft' title="UTF32 to UTF8 text"><code>++tuft</code></a>
1410+<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#turf' title="UTF8 to UTF32 cord"><code>++turf</code></a>
14111411<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wack' title="Coin format encode"><code>++wack</code></a>
14121412<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#wick' title="Coin format decode"><code>++wick</code></a>
14131413<a class="tooltip" href='/docs/hoon/reference/stdlib/4b/#woad' title="Unescape cord"><code>++woad</code></a>
@@ -1415,13 +1415,13 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
14151415
14161416### 4c: tank printer
14171417
1418−<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#re' title="Pretty-printing engine (tank)"><code>++re</code></a>
1419−<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#din-re' title="(Undocumented)"><code>++din:re</code></a>
1420−<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#fit-re' title="Fit on one line test"><code>++fit:re</code></a>
1421−<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#ram-re' title="Flatten tank to tape"><code>++ram:re</code></a>
1422−<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#rig-re' title="Wrap tape in / (tank)"><code>++rig:re</code></a>
1423−<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#wig-re' title="++win - render tape"><code>++wig:re</code></a>
1424−<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#win-re' title="Render at indent"><code>++win:re</code></a>
1418+<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#re' title="Prettyprinting engine (tank)"><code>++re</code></a>
1419+<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#dinre' title="(Undocumented)"><code>++din:re</code></a>
1420+<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#fitre' title="Fit on one line test"><code>++fit:re</code></a>
1421+<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#ramre' title="Flatten tank to tape"><code>++ram:re</code></a>
1422+<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#rigre' title="Wrap tape in / (tank)"><code>++rig:re</code></a>
1423+<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#wigre' title="++win render tape"><code>++wig:re</code></a>
1424+<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#winre' title="Render at indent"><code>++win:re</code></a>
14251425
14261426<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#shep' title="(Undocumented)"><code>++shep</code></a>
14271427<a class="tooltip" href='/docs/hoon/reference/stdlib/4c/#shop' title="(Undocumented)"><code>++shop</code></a>
@@ -1447,14 +1447,14 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
14471447
14481448### 4f: parsing (rule builders)
14491449
1450−<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#bass' title="Parser modifier (LSB-ordered ++list as atom of ++base)"><code>++bass</code></a>
1450+<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#bass' title="Parser modifier (LSBordered ++list as atom of ++base)"><code>++bass</code></a>
14511451<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#boss' title="Parser modifier: LSB"><code>++boss</code></a>
14521452<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#cold' title="Replace with constant"><code>++cold</code></a>
14531453<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#cook' title="Apply gate"><code>++cook</code></a>
14541454<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#easy' title="Always parse"><code>++easy</code></a>
14551455<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#full' title="Parse to end"><code>++full</code></a>
14561456<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#funk' title="Add to tape"><code>++funk</code></a>
1457−<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#here' title="Place-based apply"><code>++here</code></a>
1457+<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#here' title="Placebased apply"><code>++here</code></a>
14581458<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#ifix' title="Infix"><code>++ifix</code></a>
14591459<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#jest' title="Match a cord"><code>++jest</code></a>
14601460<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#just' title="Match a single character"><code>++just</code></a>
@@ -1469,7 +1469,7 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
14691469<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#slug' title="Use gate to parse delimited list"><code>++slug</code></a>
14701470<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stag' title="Add label"><code>++stag</code></a>
14711471<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#star' title="Produce list of matches"><code>++star</code></a>
1472−<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stet' title="Add faces to range-parser pairs in list"><code>++stet</code></a>
1472+<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stet' title="Add faces to rangeparser pairs in list"><code>++stet</code></a>
14731473<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stew' title="Switch by first"><code>++stew</code></a>
14741474<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stir' title="Parse repeatedly"><code>++stir</code></a>
14751475<a class="tooltip" href='/docs/hoon/reference/stdlib/4f/#stun' title="Parse several times"><code>++stun</code></a>
@@ -1497,7 +1497,7 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
14971497<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#gal' title="Parse < (gal)"><code>++gal</code></a>
14981498<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#gar' title="Parse > (gar)"><code>++gar</code></a>
14991499<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#hax' title="Parse # (hax)"><code>++hax</code></a>
1500−<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#hep' title="Parse - (hep)"><code>++hep</code></a>
1500+<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#hep' title="Parse (hep)"><code>++hep</code></a>
15011501<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#kel' title="Parse { (kel)"><code>++kel</code></a>
15021502<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ker' title="Parse } (ker)"><code>++ker</code></a>
15031503<a class="tooltip" href='/docs/hoon/reference/stdlib/4h/#ket' title="Parse ^ (ket)"><code>++ket</code></a>
@@ -1521,7 +1521,7 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
15211521
15221522<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#alf' title="Parse alphabetic characters"><code>++alf</code></a>
15231523<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#aln' title="Parse alphanumeric characters"><code>++aln</code></a>
1524−<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#alp' title="Parse alphanumeric characters and -"><code>++alp</code></a>
1524+<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#alp' title="Parse alphanumeric characters and "><code>++alp</code></a>
15251525<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#bet' title="Parse hep and lus axis syntax"><code>++bet</code></a>
15261526<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#bin' title="Binary to atom"><code>++bin</code></a>
15271527<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#but' title="Parse binary digit"><code>++but</code></a>
@@ -1530,7 +1530,7 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
15301530<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dit' title="Decimal digit"><code>++dit</code></a>
15311531<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dog' title="Optional gap"><code>++dog</code></a>
15321532<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#doh' title="@p separator"><code>++doh</code></a>
1533−<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dun' title="-- to ~"><code>++dun</code></a>
1533+<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#dun' title=" to ~"><code>++dun</code></a>
15341534<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#duz' title="== to ~"><code>++duz</code></a>
15351535<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gah' title="New line or ''"><code>++gah</code></a>
15361536<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#gap' title="Plural whitespace"><code>++gap</code></a>
@@ -1545,12 +1545,12 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
15451545<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#iny' title="Indentation block"><code>++iny</code></a>
15461546<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#low' title="Parse lowercase letter"><code>++low</code></a>
15471547<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#mes' title="Parse hexabyte"><code>++mes</code></a>
1548−<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#nix' title="Parse letters and -"><code>++nix</code></a>
1548+<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#nix' title="Parse letters and "><code>++nix</code></a>
15491549<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#nud' title="Parse numeric character"><code>++nud</code></a>
15501550<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#prn' title="Parse any printable character"><code>++prn</code></a>
15511551<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#qit' title="Parse character to cord atom"><code>++qit</code></a>
15521552<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#qut' title="Parse cord"><code>++qut</code></a>
1553−<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#soz' title="Parse triple single-quote"><code>++soz</code></a>
1553+<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#soz' title="Parse triple singlequote"><code>++soz</code></a>
15541554<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#sym' title="Term"><code>++sym</code></a>
15551555<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#ven' title="Axis syntax parser"><code>++ven</code></a>
15561556<a class="tooltip" href='/docs/hoon/reference/stdlib/4i/#vit' title="Parse base 64 digit"><code>++vit</code></a>
@@ -1559,85 +1559,85 @@ Can be navigated [alphabetically](#alphabetical) or [by section](#by-section).
15591559### 4j: parsing (bases and base digits)
15601560
15611561<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ab' title="Primitive parser engine"><code>++ab</code></a>
1562−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bix-ab' title="Parse hex pair"><code>++bix:ab</code></a>
1563−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hif-ab' title="Parse phonetic pair"><code>++hif:ab</code></a>
1564−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#huf-ab' title="Parse two phonetic pairs"><code>++huf:ab</code></a>
1565−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hyf-ab' title="Parse 8 phonetic bytes"><code>++hyf:ab</code></a>
1566−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pev-ab' title="Parse <=5 in base 32"><code>++pev:ab</code></a>
1567−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pew-ab' title="Parse <= 5 in base 64"><code>++pew:ab</code></a>
1568−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#piv-ab' title="Parse 5 digits in base 32"><code>++piv:ab</code></a>
1569−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#piw-ab' title="Parse 5 digits in base 64"><code>++piw:ab</code></a>
1570−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qeb-ab' title="Parse <=4 binary digits"><code>++qeb:ab</code></a>
1571−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qex-ab' title="Parse <=4 hexadecimal digits"><code>++qex:ab</code></a>
1572−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qib-ab' title="Parse 4 binary digits"><code>++qib:ab</code></a>
1573−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qix-ab' title="Parse 4 hexadecimal digits"><code>++qix:ab</code></a>
1574−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#seb-ab' title="Parse 1"><code>++seb:ab</code></a>
1575−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sed-ab' title="Parse non-zero decimal digit"><code>++sed:ab</code></a>
1576−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sev-ab' title="Parse non-zero base 32 digit"><code>++sev:ab</code></a>
1577−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sew-ab' title="Parse non-zero base 64 digit"><code>++sew:ab</code></a>
1578−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sex-ab' title="Parse nonzero hexadecimal digit"><code>++sex:ab</code></a>
1579−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sib-ab' title="Parse binary digit"><code>++sib:ab</code></a>
1580−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sid-ab' title="Parse decimal digit"><code>++sid:ab</code></a>
1581−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#siv-ab' title="Parse a base 32 digit"><code>++siv:ab</code></a>
1582−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#siw-ab' title="Parse a base 64 digit"><code>++siw:ab</code></a>
1583−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#six-ab' title="Parse a hexadecimal digit"><code>++six:ab</code></a>
1584−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sov-ab' title="Parse base 32 letter"><code>++sov:ab</code></a>
1585−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sow-ab' title="Parse base 64 letter/symbol"><code>++sow:ab</code></a>
1586−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sox-ab' title="Parse hexadecimal letter"><code>++sox:ab</code></a>
1587−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ted-ab' title="Parse decimal number with <= 3 digits"><code>++ted:ab</code></a>
1588−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tid-ab' title="Parse 3 decimal digits"><code>++tid:ab</code></a>
1589−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#til-ab' title="Parse 3 lowercase letters"><code>++til:ab</code></a>
1590−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tip-ab' title="Leading phonetic byte"><code>++tip:ab</code></a>
1591−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tiq-ab' title="Trailing phonetic syllable"><code>++tiq:ab</code></a>
1592−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#urs-ab' title="Parse span characters"><code>++urs:ab</code></a>
1593−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#urt-ab' title="Parse non-_ span"><code>++urt:ab</code></a>
1594−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#voy-ab' title="Parse bas, soq, or bix"><code>++voy:ab</code></a>
1595−
1596−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ag' title="Top-level atom parser engine"><code>++ag</code></a>
1597−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ape-ag' title="Parse 0 or rule"><code>++ape:ag</code></a>
1598−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bay-ag' title="Parses binary number"><code>++bay:ag</code></a>
1599−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bip-ag' title="Parse IPv6"><code>++bip:ag</code></a>
1600−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dem-ag' title="Parse decmal with dots"><code>++dem:ag</code></a>
1601−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dim-ag' title="Parse decimal number"><code>++dim:ag</code></a>
1602−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dum-ag' title="Parse decimal with leading zero"><code>++dum:ag</code></a>
1603−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#fed-ag' title="Parse @p"><code>++fed:ag</code></a>
1604−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hex-ag' title="Parse hexadecimal number"><code>++hex:ag</code></a>
1605−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#lip-ag' title="Parse IPv4 address"><code>++lip:ag</code></a>
1606−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#viz-ag' title="Parse base 32 digit with dot separators"><code>++viz:ag</code></a>
1607−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#vum-ag' title="Parse base 32 string"><code>++vum:ag</code></a>
1608−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#wiz-ag' title="Parse base 64 number"><code>++wiz:ag</code></a>
1609−
1610−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#mu' title="Core used to scramble 16-bit atoms"><code>++mu</code></a>
1611−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zag-mu' title="Add bottom into top"><code>++zag:mu</code></a>
1612−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zig-mu' title="Subtract bottom from top"><code>++zig:mu</code></a>
1613−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zug-mu' title="Concatenate into atom"><code>++zug:mu</code></a>
1562+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bixab' title="Parse hex pair"><code>++bix:ab</code></a>
1563+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hifab' title="Parse phonetic pair"><code>++hif:ab</code></a>
1564+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hufab' title="Parse two phonetic pairs"><code>++huf:ab</code></a>
1565+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hyfab' title="Parse 8 phonetic bytes"><code>++hyf:ab</code></a>
1566+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pevab' title="Parse <=5 in base 32"><code>++pev:ab</code></a>
1567+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pewab' title="Parse <= 5 in base 64"><code>++pew:ab</code></a>
1568+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#pivab' title="Parse 5 digits in base 32"><code>++piv:ab</code></a>
1569+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#piwab' title="Parse 5 digits in base 64"><code>++piw:ab</code></a>
1570+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qebab' title="Parse <=4 binary digits"><code>++qeb:ab</code></a>
1571+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qexab' title="Parse <=4 hexadecimal digits"><code>++qex:ab</code></a>
1572+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qibab' title="Parse 4 binary digits"><code>++qib:ab</code></a>
1573+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#qixab' title="Parse 4 hexadecimal digits"><code>++qix:ab</code></a>
1574+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sebab' title="Parse 1"><code>++seb:ab</code></a>
1575+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sedab' title="Parse nonzero decimal digit"><code>++sed:ab</code></a>
1576+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sevab' title="Parse nonzero base 32 digit"><code>++sev:ab</code></a>
1577+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sewab' title="Parse nonzero base 64 digit"><code>++sew:ab</code></a>
1578+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sexab' title="Parse nonzero hexadecimal digit"><code>++sex:ab</code></a>
1579+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sibab' title="Parse binary digit"><code>++sib:ab</code></a>
1580+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sidab' title="Parse decimal digit"><code>++sid:ab</code></a>
1581+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sivab' title="Parse a base 32 digit"><code>++siv:ab</code></a>
1582+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#siwab' title="Parse a base 64 digit"><code>++siw:ab</code></a>
1583+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sixab' title="Parse a hexadecimal digit"><code>++six:ab</code></a>
1584+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sovab' title="Parse base 32 letter"><code>++sov:ab</code></a>
1585+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#sowab' title="Parse base 64 letter/symbol"><code>++sow:ab</code></a>
1586+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#soxab' title="Parse hexadecimal letter"><code>++sox:ab</code></a>
1587+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tedab' title="Parse decimal number with <= 3 digits"><code>++ted:ab</code></a>
1588+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tidab' title="Parse 3 decimal digits"><code>++tid:ab</code></a>
1589+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tilab' title="Parse 3 lowercase letters"><code>++til:ab</code></a>
1590+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tipab' title="Leading phonetic byte"><code>++tip:ab</code></a>
1591+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#tiqab' title="Trailing phonetic syllable"><code>++tiq:ab</code></a>
1592+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ursab' title="Parse span characters"><code>++urs:ab</code></a>
1593+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#urtab' title="Parse non_ span"><code>++urt:ab</code></a>
1594+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#voyab' title="Parse bas, soq, or bix"><code>++voy:ab</code></a>
1595+
1596+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ag' title="Toplevel atom parser engine"><code>++ag</code></a>
1597+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#apeag' title="Parse 0 or rule"><code>++ape:ag</code></a>
1598+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bayag' title="Parses binary number"><code>++bay:ag</code></a>
1599+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#bipag' title="Parse IPv6"><code>++bip:ag</code></a>
1600+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#demag' title="Parse decmal with dots"><code>++dem:ag</code></a>
1601+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dimag' title="Parse decimal number"><code>++dim:ag</code></a>
1602+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dumag' title="Parse decimal with leading zero"><code>++dum:ag</code></a>
1603+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#fedag' title="Parse @p"><code>++fed:ag</code></a>
1604+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#hexag' title="Parse hexadecimal number"><code>++hex:ag</code></a>
1605+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#lipag' title="Parse IPv4 address"><code>++lip:ag</code></a>
1606+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#vizag' title="Parse base 32 digit with dot separators"><code>++viz:ag</code></a>
1607+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#vumag' title="Parse base 32 string"><code>++vum:ag</code></a>
1608+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#wizag' title="Parse base 64 number"><code>++wiz:ag</code></a>
1609+
1610+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#mu' title="Core used to scramble 16bit atoms"><code>++mu</code></a>
1611+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zagmu' title="Add bottom into top"><code>++zag:mu</code></a>
1612+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zigmu' title="Subtract bottom from top"><code>++zig:mu</code></a>
1613+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#zugmu' title="Concatenate into atom"><code>++zug:mu</code></a>
16141614
16151615<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#ne' title="Digit rendering engine"><code>++ne</code></a>
1616−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#d-ne' title="Render decimal"><code>++d:ne</code></a>
1617−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#v-ne' title="Render base 32"><code>++v:ne</code></a>
1618−<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#w-ne' title="Render base 64 digit"><code>++w:ne</code></a>
1619−<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>
1616+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#dne' title="Render decimal"><code>++d:ne</code></a>
1617+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#vne' title="Render base 32"><code>++v:ne</code></a>
1618+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#wne' title="Render base 64 digit"><code>++w:ne</code></a>
1619+<a class="tooltip" href='/docs/hoon/reference/stdlib/4j/#xne' title="Render hexadecimal digit as atom of ASCII byte value"><code>++x:ne</code></a>
16201620
16211621### 4k: parsing (atom printing)
16221622
16231623<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#co' title="Literal rendering engine"><code>++co</code></a>
1624−<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rear-co' title="Prepend and render atom as tape"><code>++rear:co</code></a>
1625−<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rend-co' title="Render coin lot as tape"><code>++rend:co</code></a>
1626−<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rent-co' title="Render coin lot as span"><code>++rent:co</code></a>
1624+<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rearco' title="Prepend and render atom as tape"><code>++rear:co</code></a>
1625+<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rendco' title="Render coin lot as tape"><code>++rend:co</code></a>
1626+<a class="tooltip" href='/docs/hoon/reference/stdlib/4k/#rentco' title="Render coin lot as span"><code>++rent:co</code></a>
16271627
16281628### 4l: parsing (atom parsing)
16291629
16301630<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#so' title="Coin parser engine"><code>++so</code></a>
1631−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#bisk-so' title="Parse aura-atom pair"><code>++bisk:so</code></a>
1632−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#crub-so' title="Parse @da, @dr, @p, @t"><code>++crub:so</code></a>
1633−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#nuck-so' title="Top-level coin parser"><code>++nuck:so</code></a>
1634−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#nusk-so' title="Parse coin literal with escapes"><code>++nusk:so</code></a>
1635−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#perd-so' title="Parses dime/tiple without standard prefixes"><code>++perd:so</code></a>
1636−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-so' title="Parse dime float"><code>++royl:so</code></a>
1637−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#royl-cell-so' title="(Undocumented)"><code>++royl-cell:so</code></a>
1638−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#tash-so' title="Parse signed dime"><code>++tash:so</code></a>
1639−<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#twid-so' title="Parse coins without ~ prefix"><code>++twid:so</code></a>
1640−<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>
1631+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#biskso' title="Parse auraatom pair"><code>++bisk:so</code></a>
1632+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#crubso' title="Parse @da, @dr, @p, @t"><code>++crub:so</code></a>
1633+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#nuckso' title="Toplevel coin parser"><code>++nuck:so</code></a>
1634+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#nuskso' title="Parse coin literal with escapes"><code>++nusk:so</code></a>
1635+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#perdso' title="Parses dime/tiple without standard prefixes"><code>++perd:so</code></a>
1636+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#roylso' title="Parse dime float"><code>++royl:so</code></a>
1637+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#roylcellso' title="(Undocumented)"><code>++roylcell:so</code></a>
1638+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#tashso' title="Parse signed dime"><code>++tash:so</code></a>
1639+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#twidso' title="Parse coins without ~ prefix"><code>++twid:so</code></a>
1640+<a class="tooltip" href='/docs/hoon/reference/stdlib/4l/#zustso' title="Parse prefixed dimes from IP, loobean, or floating point"><code>++zust:so</code></a>
16411641
16421642### 4m: parsing (formatting functions)
16431643