diff --git a/docs/reference/enstacken.md b/docs/reference/enstacken.md index d742c92..620b6d1 100644 --- a/docs/reference/enstacken.md +++ b/docs/reference/enstacken.md @@ -2,28 +2,27 @@ ## enstacken -Basis Function Combinator +Function -stack \[clear\] dip +Put the stack onto the stack replacing the contents of the stack. + + ... a b c enstacken + ------------------------- + [c b a ...] -Gentzen diagram. ### Definition -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis +> [stack] \[[clear]\] [dip] ### Discussion -Lorem ipsum. +This is a destructive version of [stack]. See the note under +[disenstacken] about the apparent but illusory reversal of the stack. ### Crosslinks -Lorem ipsum. +[stack] +[unstack] +[disenstacken] + diff --git a/docs/reference/eq.md b/docs/reference/eq.md index 47a084f..7340fb9 100644 --- a/docs/reference/eq.md +++ b/docs/reference/eq.md @@ -2,23 +2,14 @@ ## eq -Basis Function Combinator +Basis Function -Same as a == b. +Compare the two items on the top of the stack for equality and replace +them with a Boolean value. -Gentzen diagram. - -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis + a b eq + ------------- + Boolean ### Discussion @@ -26,4 +17,10 @@ Lorem ipsum. ### Crosslinks -Lorem ipsum. +[cmp] +[ge] +[gt] +[le] +[lt] +[ne] + diff --git a/docs/reference/mkref/FuncRef.html b/docs/reference/mkref/FuncRef.html index ef560ac..eeb6fb2 100644 --- a/docs/reference/mkref/FuncRef.html +++ b/docs/reference/mkref/FuncRef.html @@ -1036,44 +1036,40 @@ a F a

dupdip

enstacken

-

Basis Function Combinator

-

stack [clear] dip

-

Gentzen diagram.

+

Function

+

Put the stack onto the stack replacing the contents of the stack.

+
   ... a b c enstacken
+-------------------------
+       [c b a ...]

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

+
+

stack [clear] dip

+

Discussion

-

Lorem ipsum.

+

This is a destructive version of stack. See the note under disenstacken about the apparent but illusory reversal of the stack.

-

Lorem ipsum.

+

stack [unstack] disenstacken

eq

-

Basis Function Combinator

-

Same as a == b.

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

+

Basis Function

+

Compare the two items on the top of the stack for equality and replace them with a Boolean value.

+
   a b eq
+-------------
+   Boolean

Discussion

Lorem ipsum.

-

Lorem ipsum.

+

cmp ge gt le lt ne

first

Basis Function Combinator

([a1 ...1] -- a1)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1084,11 +1080,11 @@ a F a

Basis Function Combinator

([a1 a2 ...1] -- a1 a2)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1099,11 +1095,11 @@ a F a

Basis Function Combinator

<{} [concat] step

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1115,11 +1111,11 @@ a F a

Return the floor of x as an Integral.

This is the largest integer <= x.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1130,11 +1126,11 @@ a F a

Basis Function Combinator

Same as a // b.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1145,11 +1141,11 @@ a F a

Basis Function Combinator

[i] app2

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1160,11 +1156,11 @@ a F a

Basis Function Combinator

([a1 a2 a3 a4 ...1] -- a4)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1175,11 +1171,11 @@ a F a

Basis Function Combinator

true [tuck mod dup 0 >] loop pop

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1190,11 +1186,11 @@ a F a

Basis Function Combinator

Compiled GCD function.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1205,11 +1201,11 @@ a F a

Basis Function Combinator

Same as a >= b.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1236,11 +1232,11 @@ a F a == [I] [T] [R [P] i] ifte == [I] [T] [R P] ifte

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1255,11 +1251,11 @@ a F a ------------------------- a

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1270,11 +1266,11 @@ a F a

Basis Function Combinator

<{} [cons] times

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1285,11 +1281,11 @@ a F a

Basis Function Combinator

[stack popd] dip

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1300,11 +1296,11 @@ a F a

Basis Function Combinator

Same as a > b.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1315,11 +1311,11 @@ a F a

Basis Function Combinator

Accepts a quoted symbol on the top of the stack and prints its docs.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1330,11 +1326,11 @@ a F a

Basis Function Combinator

[sqr] ii + sqrt

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1347,7 +1343,7 @@ a F a 
   [Q] i
 -----------
     Q
-

Source

+

Source

combo(i, [list(P)|S], S, Ei, Eo) :- append(P, Ei, Eo).

Discussion

This is probably the fundamental combinator. You wind up using it in all kinds of places (for example, the x combinator can be defined as dup i.)

@@ -1356,11 +1352,11 @@ a F a

Basis Function Combinator

The identity function.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1382,11 +1378,11 @@ a F a ... [else] [then] [...] [if] infra first choice i

Has the effect of grabbing a copy of the stack on which to run the if-part using infra.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1399,11 +1395,11 @@ a F a ------------------ ... Q a Q

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1416,7 +1412,7 @@ a F a 
   ... [a b c] [Q] infra
 ---------------------------
     c b a Q [...] swaack
-

Definition

+

Definition

swons swaack [i] dip swaack

Discussion

This is one of the more useful combinators. It allows a quoted expression to serve as a stack for a program, effectively running it in a kind of “pocket universe”. If the list represents a datastructure then infra lets you work on its internal structure.

@@ -1427,11 +1423,11 @@ a F a

Basis Function Combinator

infra first

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1445,11 +1441,11 @@ a F a

[sqr dup mul] inscribe

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1460,11 +1456,11 @@ a F a

Basis Function Combinator

Same as a <= b.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1482,11 +1478,11 @@ a F a ------------------------ ...

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1497,11 +1493,11 @@ a F a

Basis Function Combinator

Same as a << b.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1512,11 +1508,11 @@ a F a

Basis Function Combinator

Same as a < b.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1527,11 +1523,11 @@ a F a

Basis Function Combinator

[codireco] ccons

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1542,11 +1538,11 @@ a F a

Basis Function Combinator

Run the quoted program on TOS on the items in the list under it, push a new list with the results in place of the program and original list.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1557,11 +1553,11 @@ a F a

Basis Function Combinator

Given a list find the maximum.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1572,11 +1568,11 @@ a F a

Basis Function Combinator

Given a list find the minimum.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1587,11 +1583,11 @@ a F a

Basis Function Combinator

Same as a % b.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1605,11 +1601,11 @@ a F a

Basis Function Combinator

Same as a * b.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1620,11 +1616,11 @@ a F a

Basis Function Combinator

Same as a != b.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1635,11 +1631,11 @@ a F a

Basis Function Combinator

Same as -a.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1650,11 +1646,11 @@ a F a

Basis Function Combinator

Same as not a.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1672,18 +1668,18 @@ a F a N !- ---------- N >= 0 true -

Definition

+

Definition

0 >=

nulco

Basis Function Combinator

[nullary] cons

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1696,9 +1692,9 @@ a F a 
   ... [P] nullary
 ---------------------
         ... A
-

Definition

+

Definition

[stack] dip infra first
-

Derivation

+

Derivation

... [P] nullary
 ... [P] [stack] dip infra first
 ... stack [P] infra first
@@ -1714,11 +1710,11 @@ a F a

Basis Function Combinator

swap at

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1729,11 +1725,11 @@ a F a

Basis Function Combinator

Same as a | b.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1744,11 +1740,11 @@ a F a

Basis Function Combinator

(a2 a1 -- a2 a1 a2)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1759,11 +1755,11 @@ a F a

Basis Function Combinator

[i] map

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1780,11 +1776,11 @@ a F a ------------- a+b a-b

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1795,11 +1791,11 @@ a+b a-b

Basis Function Combinator

(a1 --)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1810,11 +1806,11 @@ a+b a-b

Basis Function Combinator

(a2 a1 -- a1)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1825,11 +1821,11 @@ a+b a-b

Basis Function Combinator

(a3 a2 a1 -- a2 a1)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1840,11 +1836,11 @@ a+b a-b

Basis Function Combinator

(a2 a1 --)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1855,11 +1851,11 @@ a+b a-b

Basis Function Combinator

(a3 a2 a1 -- a1)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1870,11 +1866,11 @@ a+b a-b

Basis Function Combinator

(a4 a3 a2 a1 -- a2 a1)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1885,11 +1881,11 @@ a+b a-b

Basis Function Combinator

pop popop

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1900,11 +1896,11 @@ a+b a-b

Basis Function Combinator

Same as a ** b.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1915,11 +1911,11 @@ a+b a-b

Basis Function Combinator

Decrement TOS.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1942,11 +1938,11 @@ a+b a-b ------------------------------------------ n > 0 n (n-1) [Base] [Recur] primrec Recur

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1957,11 +1953,11 @@ a+b a-b

Basis Function Combinator

1 swap [*] step

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1972,11 +1968,11 @@ a+b a-b

Basis Function Combinator

[unit] dip

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -1987,11 +1983,11 @@ a+b a-b

Basis Function Combinator

[0 <=] [1 - dup] anamorphism

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2002,11 +1998,11 @@ a+b a-b

Basis Function Combinator

unit [down_to_zero] infra

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2017,11 +2013,11 @@ a+b a-b

Basis Function Combinator

rest cons

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2041,11 +2037,11 @@ a+b a-b ------------------------ [2 3 1]

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2056,11 +2052,11 @@ a+b a-b

Basis Function Combinator

([a1 ...0] -- [...0])

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2072,11 +2068,11 @@ a+b a-b

Reverse the list on the top of the stack. :

reverse == [] swap shunt

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2087,11 +2083,11 @@ a+b a-b

Basis Function Combinator

(a1 a2 a3 -- a2 a3 a1)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2102,11 +2098,11 @@ a+b a-b

Basis Function Combinator

(a1 a2 a3 -- a3 a1 a2)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2124,11 +2120,11 @@ a+b a-b

Round a number to a given precision in decimal digits.

The return value is an integer if ndigits is omitted or None. Otherwise the return value has the same type as the number. ndigits may be negative.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2139,11 +2135,11 @@ a+b a-b

Basis Function Combinator

([a1 a2 ...1] -- [...1])

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2154,11 +2150,11 @@ a+b a-b

Basis Function Combinator

Same as a >> b.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2169,11 +2165,11 @@ a+b a-b

Basis Function Combinator

<{} infra

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2184,11 +2180,11 @@ a+b a-b

Basis Function Combinator

([a1 a2 ...1] -- a2)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2208,11 +2204,11 @@ a+b a-b B

The sequence can contain more than two items but not fewer. Currently Python semantics are used to evaluate the "truthiness" of the Boolean value (so empty string, zero, etc. are counted as false, etc.)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2223,11 +2219,11 @@ a+b a-b

Basis Function Combinator

Print redistribution information.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2238,11 +2234,11 @@ a+b a-b

Basis Function Combinator

uncons [swons] dip

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2258,11 +2254,11 @@ a+b a-b --------------------------- [f e d a b c]

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2273,11 +2269,11 @@ a+b a-b

Basis Function Combinator

[pop ++] step_zero

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2288,11 +2284,11 @@ a+b a-b

Basis Function Combinator

Given a list return it sorted.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2303,11 +2299,11 @@ a+b a-b

Basis Function Combinator

[[[abs] ii <=] [[<>] [pop !-] ||] &&] [[!-] [[++]] [[--]] ifte dip] [[pop !-] [--] [++] ifte] ifte

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2318,11 +2314,11 @@ a+b a-b

Basis Function Combinator

[drop] [take] clop

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2333,11 +2329,11 @@ a+b a-b

Basis Function Combinator

[take reverse] [drop] clop

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2348,11 +2344,11 @@ a+b a-b

Basis Function Combinator

dup *

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2363,11 +2359,11 @@ a+b a-b

Basis Function Combinator

Return the square root of the number a. Negative numbers return complex roots.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2378,11 +2374,11 @@ a+b a-b

Basis Function Combinator

(... -- ... [...])

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2393,11 +2389,11 @@ a+b a-b

Basis Function Combinator

[stack] dip

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2422,11 +2418,11 @@ a+b a-b ... a . Q [b c] [Q] step

The step combinator executes the quotation on each member of the list on top of the stack.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2437,11 +2433,11 @@ a+b a-b

Basis Function Combinator

0 roll> step

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2452,11 +2448,11 @@ a+b a-b

Basis Function Combinator

(... a1 -- ... a1 a1 [...])

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2467,11 +2463,11 @@ a+b a-b

Basis Function Combinator

(... a2 a1 -- ... a2 a1 a1 a2 [...])

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2482,11 +2478,11 @@ a+b a-b

Basis Function Combinator

Same as a - b.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2497,11 +2493,11 @@ a+b a-b

Basis Function Combinator

Increment TOS.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2513,11 +2509,11 @@ a+b a-b

Given a quoted sequence of numbers return the sum. :

sum == 0 swap [+] step

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2528,11 +2524,11 @@ a+b a-b

Basis Function Combinator

([...1] -- [...0])

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2543,11 +2539,11 @@ a+b a-b

Basis Function Combinator

(a1 a2 -- a2 a1)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2558,11 +2554,11 @@ a+b a-b

Basis Function Combinator

[swap] dip

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2573,11 +2569,11 @@ a+b a-b

Basis Function Combinator

swap concat

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2588,11 +2584,11 @@ a+b a-b

Basis Function Combinator

([...1] a1 -- [a1 ...1])

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2603,11 +2599,11 @@ a+b a-b

Basis Function Combinator

[i] genrec

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2621,11 +2617,11 @@ a+b a-b ---------------------- [b a]

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2638,7 +2634,7 @@ a+b a-b 
   ... z y x [P] unary
 -------------------------
          ... A
-

Definition

+

Definition

binary popd

Discussion

Runs any other quoted function and returns its first result while consuming exactly three items from the stack.

@@ -2649,11 +2645,11 @@ a+b a-b

Basis Function Combinator

([a1 a2 a3 ...1] -- a3)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2677,11 +2673,11 @@ a+b a-b ------------------------------------- w/ n > 1 ... . Q (n - 1) [Q] times

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2695,11 +2691,11 @@ a+b a-b

Basis Function Combinator

(a2 a1 -- a1 a2 a1)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2712,7 +2708,7 @@ a+b a-b 
   ... x [P] unary
 ---------------------
        ... A
-

Definition

+

Definition

nullary popd

Discussion

Runs any other quoted function and returns its first result while consuming exactly one item from the stack.

@@ -2725,7 +2721,7 @@ a+b a-b 
   [A ...] uncons
 --------------------
       A [...]
-

Source

+

Source

func(uncons, Si, So) :- func(cons, So, Si).

Discussion

This is the inverse of cons.

@@ -2736,11 +2732,11 @@ a+b a-b

Basis Function Combinator

Given a list remove duplicate items.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2751,11 +2747,11 @@ a+b a-b

Basis Function Combinator

(a1 -- [a1 ])

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2766,11 +2762,11 @@ a+b a-b

Basis Function Combinator

[i] dip

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2781,11 +2777,11 @@ a+b a-b

Basis Function Combinator

([a1 ...1] -- [...1] a1)

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2796,11 +2792,11 @@ a+b a-b

Basis Function Combinator

True if the form on TOS is void otherwise False.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2811,11 +2807,11 @@ a+b a-b

Basis Function Combinator

Print warranty information.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2826,11 +2822,11 @@ a+b a-b

Basis Function Combinator

swap nulco dupdipd concat loop

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2841,11 +2837,11 @@ a+b a-b

Basis Function Combinator

Print all the words in alphabetical order.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2857,7 +2853,7 @@ a+b a-b 
   [F] x
 -----------
    [F] F
-

Definition

+

Definition

dup i

Discussion

The x combinator …

@@ -2866,11 +2862,11 @@ a+b a-b

Basis Function Combinator

Same as a ^ b.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

@@ -2881,11 +2877,11 @@ a+b a-b

Basis Function Combinator

Replace the two lists on the top of the stack with a list of the pairs from each list. The smallest list sets the length of the result list.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

Discussion

Lorem ipsum.

diff --git a/docs/reference/mkref/Functor-Reference.md b/docs/reference/mkref/Functor-Reference.md index b424c7a..97fedfb 100644 --- a/docs/reference/mkref/Functor-Reference.md +++ b/docs/reference/mkref/Functor-Reference.md @@ -1341,53 +1341,43 @@ Run a copy of program `F` under the next item down on the stack. ## enstacken -Basis Function Combinator +Function -stack \[clear\] dip +Put the stack onto the stack replacing the contents of the stack. + + ... a b c enstacken + ------------------------- + [c b a ...] -Gentzen diagram. ### Definition -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis +> [stack] \[[clear]\] [dip] ### Discussion -Lorem ipsum. +This is a destructive version of [stack]. See the note under +[disenstacken] about the apparent but illusory reversal of the stack. ### Crosslinks -Lorem ipsum. +[stack] +[unstack] +[disenstacken] + ------------------------------------------------------------------------ ## eq -Basis Function Combinator +Basis Function -Same as a == b. +Compare the two items on the top of the stack for equality and replace +them with a Boolean value. -Gentzen diagram. - -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis + a b eq + ------------- + Boolean ### Discussion @@ -1395,7 +1385,13 @@ Lorem ipsum. ### Crosslinks -Lorem ipsum. +[cmp] +[ge] +[gt] +[le] +[lt] +[ne] + ------------------------------------------------------------------------