diff --git a/docs/reference/inscribe.md b/docs/reference/inscribe.md index b3123b8..fd6d25d 100644 --- a/docs/reference/inscribe.md +++ b/docs/reference/inscribe.md @@ -15,4 +15,3 @@ This is the only function that modifies the dictionary. It's provided as a convenience, for tinkering with new definitions before entering them into the `defs.txt` file. It can be abused, which you should avoid unless you know what you're doing. - diff --git a/docs/reference/le.md b/docs/reference/le.md index cc95121..1c330c0 100644 --- a/docs/reference/le.md +++ b/docs/reference/le.md @@ -4,11 +4,10 @@ Basis Function - Less-Than-or-Equal-to comparison of the two items on the top of the stack, replacing them with a Boolean value. - a b eq + a b le ------------- Boolean (a <= b) diff --git a/docs/reference/lshift.md b/docs/reference/lshift.md index 9ad7bc6..29f3e4d 100644 --- a/docs/reference/lshift.md +++ b/docs/reference/lshift.md @@ -2,28 +2,14 @@ ## lshift -Basis Function Combinator +Basis Function -Same as a \<\< b. +[Logical Left-Shift](https://en.wikipedia.org/wiki/Logical_shift) -Gentzen diagram. - -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis - -### Discussion - -Lorem ipsum. + a n lshift + ---------------- + (a×2ⁿ) ### Crosslinks -Lorem ipsum. +[rshift] diff --git a/docs/reference/lt.md b/docs/reference/lt.md index 03bbe3b..30869af 100644 --- a/docs/reference/lt.md +++ b/docs/reference/lt.md @@ -2,28 +2,21 @@ ## lt -Basis Function Combinator +Basis Function -Same as a \< b. +Less-Than comparison of the two items on the top of the +stack, replacing them with a Boolean value. -Gentzen diagram. - -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis - -### Discussion - -Lorem ipsum. + a b lt + ------------- + Boolean + (a < b) ### Crosslinks -Lorem ipsum. +[cmp] +[eq] +[ge] +[gt] +[le] +[ne] diff --git a/docs/reference/mkref/FuncRef.html b/docs/reference/mkref/FuncRef.html index 33010a3..62b2eee 100644 --- a/docs/reference/mkref/FuncRef.html +++ b/docs/reference/mkref/FuncRef.html @@ -1377,7 +1377,7 @@ a F a

le

Basis Function

Less-Than-or-Equal-to comparison of the two items on the top of the stack, replacing them with a Boolean value.

-
   a b eq
+
   a b le
 -------------
    Boolean
    (a <= b)

@@ -1404,8 +1404,27 @@ a F a

branch fork while

lshift

+

Basis Function

+

Logical Left-Shift

+
   a n lshift
+----------------
+     (a×2ⁿ)
+ +

rshift

+
+

lt

+

Basis Function

+

Less-Than comparison of the two items on the top of the stack, replacing them with a Boolean value.

+
   a b lt
+-------------
+   Boolean
+   (a < b)
+ +

cmp eq ge gt le ne

+
+

make_generator

Basis Function Combinator

-

Same as a << b.

+

[codireco] ccons

Gentzen diagram.

Definition

if not basis.

@@ -1415,12 +1434,12 @@ a F a

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

lt

+

map

Basis Function Combinator

-

Same as a < b.

+

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

if not basis.

@@ -1430,12 +1449,12 @@ a F a

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

make_generator

+

max

Basis Function Combinator

-

[codireco] ccons

+

Given a list find the maximum.

Gentzen diagram.

Definition

if not basis.

@@ -1445,12 +1464,12 @@ a F a

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

map

+

min

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.

+

Given a list find the minimum.

Gentzen diagram.

Definition

if not basis.

@@ -1460,12 +1479,12 @@ a F a

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

max

+

mod

Basis Function Combinator

-

Given a list find the maximum.

+

Same as a % b.

Gentzen diagram.

Definition

if not basis.

@@ -1475,36 +1494,6 @@ a F a

if basis

Discussion

Lorem ipsum.

- -

Lorem ipsum.

-
-

min

-

Basis Function Combinator

-

Given a list find the minimum.

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

- -

Lorem ipsum.

-
-

mod

-

Basis Function Combinator

-

Same as a % b.

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

Lorem ipsum.

@@ -1515,43 +1504,38 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

ne

-

Basis Function Combinator

-

Same as a != b.

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

+

Basis Function

+

Not-Equal comparison of the two items on the top of the stack, replacing them with a Boolean value.

+
   a b ne
+-------------
+   Boolean
+   (a = b)
-

Lorem ipsum.

+

cmp eq ge gt le lt

neg

Basis Function Combinator

Same as -a.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

-

Discussion

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1560,13 +1544,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1582,20 +1566,20 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1606,16 +1590,16 @@ 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
 ... [...] [P] infra first
 ... [A ...] first
 ...  A
-

Discussion

+

Discussion

A very useful function that runs any other quoted function and returns it’s first result without disturbing the stack (under the quoted program.)

unary binary ternary

@@ -1624,13 +1608,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1639,13 +1623,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1654,13 +1638,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1669,13 +1653,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1690,6 +1674,51 @@ a F a ------------- a+b a-b

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

pop

+

Basis Function Combinator

+
(a1 --)
+

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

popd

+

Basis Function Combinator

+
(a2 a1 -- a1)
+

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

popdd

+

Basis Function Combinator

+
(a3 a2 a1 -- a2 a1)
+

Gentzen diagram.

Definition

if not basis.

Derivation

@@ -1698,12 +1727,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

pop

+

popop

Basis Function Combinator

-
(a1 --)
+
(a2 a1 --)

Gentzen diagram.

Definition

if not basis.

@@ -1713,12 +1742,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

popd

+

popopd

Basis Function Combinator

-
(a2 a1 -- a1)
+
(a3 a2 a1 -- a1)

Gentzen diagram.

Definition

if not basis.

@@ -1728,12 +1757,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

popdd

+

popopdd

Basis Function Combinator

-
(a3 a2 a1 -- a2 a1)
+
(a4 a3 a2 a1 -- a2 a1)

Gentzen diagram.

Definition

if not basis.

@@ -1743,12 +1772,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

popop

+

popopop

Basis Function Combinator

-
(a2 a1 --)
+

pop popop

Gentzen diagram.

Definition

if not basis.

@@ -1758,12 +1787,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

popopd

+

pow

Basis Function Combinator

-
(a3 a2 a1 -- a1)
+

Same as a ** b.

Gentzen diagram.

Definition

if not basis.

@@ -1773,12 +1802,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

popopdd

+

pred

Basis Function Combinator

-
(a4 a3 a2 a1 -- a2 a1)
+

Decrement TOS.

Gentzen diagram.

Definition

if not basis.

@@ -1788,51 +1817,6 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- -

Lorem ipsum.

-
-

popopop

-

Basis Function Combinator

-

pop popop

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

- -

Lorem ipsum.

-
-

pow

-

Basis Function Combinator

-

Same as a ** b.

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

- -

Lorem ipsum.

-
-

pred

-

Basis Function Combinator

-

Decrement TOS.

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

Lorem ipsum.

@@ -1852,6 +1836,51 @@ a+b a-b ------------------------------------------ n > 0 n (n-1) [Base] [Recur] primrec Recur

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

product

+

Basis Function Combinator

+

1 swap [*] step

+

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

quoted

+

Basis Function Combinator

+

[unit] dip

+

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

range

+

Basis Function Combinator

+

[0 <=] [1 - dup] anamorphism

+

Gentzen diagram.

Definition

if not basis.

Derivation

@@ -1860,12 +1889,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

product

+

range_to_zero

Basis Function Combinator

-

1 swap [*] step

+

unit [down_to_zero] infra

Gentzen diagram.

Definition

if not basis.

@@ -1875,12 +1904,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

quoted

+

reco

Basis Function Combinator

-

[unit] dip

+

rest cons

Gentzen diagram.

Definition

if not basis.

@@ -1890,51 +1919,6 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- -

Lorem ipsum.

-
-

range

-

Basis Function Combinator

-

[0 <=] [1 - dup] anamorphism

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

- -

Lorem ipsum.

-
-

range_to_zero

-

Basis Function Combinator

-

unit [down_to_zero] infra

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

- -

Lorem ipsum.

-
-

reco

-

Basis Function Combinator

-

rest cons

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

Lorem ipsum.

@@ -1951,13 +1935,13 @@ a+b a-b ------------------------ [2 3 1]

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

-

Discussion

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1966,13 +1950,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1982,13 +1966,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1997,13 +1981,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2012,13 +1996,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2034,13 +2018,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2049,43 +2033,37 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

rshift

-

Basis Function Combinator

-

Same as a >> b.

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

+

Basis Function

+

Logical Right-Shift

+
   a n rshift
+----------------
+     (a∕2ⁿ)
-

Lorem ipsum.

+

lshift

run

Basis Function Combinator

<{} infra

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

-

Discussion

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2094,13 +2072,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2118,13 +2096,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2133,13 +2111,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2148,13 +2126,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2168,6 +2146,66 @@ a+b a-b --------------------------- [f e d a b c]

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

size

+

Basis Function Combinator

+

[pop ++] step_zero

+

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

sort

+

Basis Function Combinator

+

Given a list return it sorted.

+

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

spiral_next

+

Basis Function Combinator

+

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

+

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

split_at

+

Basis Function Combinator

+

[drop] [take] clop

+

Gentzen diagram.

Definition

if not basis.

Derivation

@@ -2176,12 +2214,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

size

+

split_list

Basis Function Combinator

-

[pop ++] step_zero

+

[take reverse] [drop] clop

Gentzen diagram.

Definition

if not basis.

@@ -2191,12 +2229,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

sort

+

sqr

Basis Function Combinator

-

Given a list return it sorted.

+

dup *

Gentzen diagram.

Definition

if not basis.

@@ -2206,12 +2244,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

spiral_next

+

sqrt

Basis Function Combinator

-

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

+

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

Gentzen diagram.

Definition

if not basis.

@@ -2221,12 +2259,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

split_at

+

stack

Basis Function Combinator

-

[drop] [take] clop

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

Gentzen diagram.

Definition

if not basis.

@@ -2236,12 +2274,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

split_list

+

stackd

Basis Function Combinator

-

[take reverse] [drop] clop

+

[stack] dip

Gentzen diagram.

Definition

if not basis.

@@ -2251,66 +2289,6 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- -

Lorem ipsum.

-
-

sqr

-

Basis Function Combinator

-

dup *

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

- -

Lorem ipsum.

-
-

sqrt

-

Basis Function Combinator

-

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

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

- -

Lorem ipsum.

-
-

stack

-

Basis Function Combinator

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

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

- -

Lorem ipsum.

-
-

stackd

-

Basis Function Combinator

-

[stack] dip

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

Lorem ipsum.

@@ -2332,6 +2310,66 @@ 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

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

step_zero

+

Basis Function Combinator

+

0 roll> step

+

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

stuncons

+

Basis Function Combinator

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

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

stununcons

+

Basis Function Combinator

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

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

sub

+

Basis Function Combinator

+

Same as a - b.

+

Gentzen diagram.

Definition

if not basis.

Derivation

@@ -2340,12 +2378,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

step_zero

+

succ

Basis Function Combinator

-

0 roll> step

+

Increment TOS.

Gentzen diagram.

Definition

if not basis.

@@ -2355,12 +2393,13 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

stuncons

+

sum

Basis Function Combinator

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

Given a quoted sequence of numbers return the sum. :

+
sum == 0 swap [+] step

Gentzen diagram.

Definition

if not basis.

@@ -2370,12 +2409,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

stununcons

+

swaack

Basis Function Combinator

-
(... a2 a1 -- ... a2 a1 a1 a2 [...])
+
([...1] -- [...0])

Gentzen diagram.

Definition

if not basis.

@@ -2385,12 +2424,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

sub

+

swap

Basis Function Combinator

-

Same as a - b.

+
(a1 a2 -- a2 a1)

Gentzen diagram.

Definition

if not basis.

@@ -2400,12 +2439,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

succ

+

swapd

Basis Function Combinator

-

Increment TOS.

+

[swap] dip

Gentzen diagram.

Definition

if not basis.

@@ -2415,13 +2454,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

sum

+

swoncat

Basis Function Combinator

-

Given a quoted sequence of numbers return the sum. :

-
sum == 0 swap [+] step
+

swap concat

Gentzen diagram.

Definition

if not basis.

@@ -2431,12 +2469,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

swaack

+

swons

Basis Function Combinator

-
([...1] -- [...0])
+
([...1] a1 -- [a1 ...1])

Gentzen diagram.

Definition

if not basis.

@@ -2446,12 +2484,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

swap

+

tailrec

Basis Function Combinator

-
(a1 a2 -- a2 a1)
+

[i] genrec

Gentzen diagram.

Definition

if not basis.

@@ -2461,66 +2499,6 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- -

Lorem ipsum.

-
-

swapd

-

Basis Function Combinator

-

[swap] dip

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

- -

Lorem ipsum.

-
-

swoncat

-

Basis Function Combinator

-

swap concat

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

- -

Lorem ipsum.

-
-

swons

-

Basis Function Combinator

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

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

- -

Lorem ipsum.

-
-

tailrec

-

Basis Function Combinator

-

[i] genrec

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

Lorem ipsum.

@@ -2531,13 +2509,13 @@ a+b a-b ---------------------- [b a]

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

-

Discussion

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2548,9 +2526,9 @@ a+b a-b 
   ... z y x [P] unary
 -------------------------
          ... A
-

Definition

+

Definition

binary popd
-

Discussion

+

Discussion

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

binary nullary unary

@@ -2559,13 +2537,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2587,13 +2565,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2605,13 +2583,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2622,9 +2600,9 @@ a+b a-b 
   ... x [P] unary
 ---------------------
        ... A
-

Definition

+

Definition

nullary popd
-

Discussion

+

Discussion

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

binary nullary ternary

@@ -2635,9 +2613,9 @@ a+b a-b 
   [A ...] uncons
 --------------------
       A [...]
-

Source

+

Source

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

Discussion

+

Discussion

This is the inverse of cons.

cons

@@ -2646,6 +2624,66 @@ a+b a-b

Basis Function Combinator

Given a list remove duplicate items.

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

unit

+

Basis Function Combinator

+
(a1 -- [a1 ])
+

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

unquoted

+

Basis Function Combinator

+

[i] dip

+

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

unswons

+

Basis Function Combinator

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

Gentzen diagram.

+

Definition

+

if not basis.

+

Derivation

+

if not basis.

+

Source

+

if basis

+

Discussion

+

Lorem ipsum.

+ +

Lorem ipsum.

+
+

void

+

Basis Function Combinator

+

True if the form on TOS is void otherwise False.

+

Gentzen diagram.

Definition

if not basis.

Derivation

@@ -2654,12 +2692,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

unit

+

warranty

Basis Function Combinator

-
(a1 -- [a1 ])
+

Print warranty information.

Gentzen diagram.

Definition

if not basis.

@@ -2669,12 +2707,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

unquoted

+

while

Basis Function Combinator

-

[i] dip

+

swap nulco dupdipd concat loop

Gentzen diagram.

Definition

if not basis.

@@ -2684,12 +2722,12 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- +

Lorem ipsum.

-

unswons

+

words

Basis Function Combinator

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

Print all the words in alphabetical order.

Gentzen diagram.

Definition

if not basis.

@@ -2699,66 +2737,6 @@ a+b a-b

if basis

Discussion

Lorem ipsum.

- -

Lorem ipsum.

-
-

void

-

Basis Function Combinator

-

True if the form on TOS is void otherwise False.

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

- -

Lorem ipsum.

-
-

warranty

-

Basis Function Combinator

-

Print warranty information.

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

- -

Lorem ipsum.

-
-

while

-

Basis Function Combinator

-

swap nulco dupdipd concat loop

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

- -

Lorem ipsum.

-
-

words

-

Basis Function Combinator

-

Print all the words in alphabetical order.

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

Lorem ipsum.

@@ -2767,22 +2745,22 @@ a+b a-b 
   [F] x
 -----------
    [F] F
-

Definition

+

Definition

dup i
-

Discussion

+

Discussion

The x combinator …

xor

Basis Function Combinator

Same as a ^ b.

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

-

Discussion

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2791,13 +2769,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

diff --git a/docs/reference/mkref/Functor-Reference.md b/docs/reference/mkref/Functor-Reference.md index e4d42cd..cc4bc22 100644 --- a/docs/reference/mkref/Functor-Reference.md +++ b/docs/reference/mkref/Functor-Reference.md @@ -2019,18 +2019,16 @@ convenience, for tinkering with new definitions before entering them into the `defs.txt` file. It can be abused, which you should avoid unless you know what you're doing. - ------------------------------------------------------------------------ ## le Basis Function - Less-Than-or-Equal-to comparison of the two items on the top of the stack, replacing them with a Boolean value. - a b eq + a b le ------------- Boolean (a <= b) @@ -2085,61 +2083,40 @@ Just as [branch] has it's more common and convenient form [ifte], ## lshift -Basis Function Combinator +Basis Function -Same as a \<\< b. +[Logical Left-Shift](https://en.wikipedia.org/wiki/Logical_shift) -Gentzen diagram. - -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis - -### Discussion - -Lorem ipsum. + a n lshift + ---------------- + (a×2ⁿ) ### Crosslinks -Lorem ipsum. +[rshift] ------------------------------------------------------------------------ ## lt -Basis Function Combinator +Basis Function -Same as a \< b. +Less-Than comparison of the two items on the top of the +stack, replacing them with a Boolean value. -Gentzen diagram. - -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis - -### Discussion - -Lorem ipsum. + a b lt + ------------- + Boolean + (a < b) ### Crosslinks -Lorem ipsum. +[cmp] +[eq] +[ge] +[gt] +[le] +[ne] ------------------------------------------------------------------------ @@ -2333,31 +2310,24 @@ Lorem ipsum. ## ne -Basis Function Combinator +Basis Function -Same as a != b. +Not-Equal comparison of the two items on the top of the +stack, replacing them with a Boolean value. -Gentzen diagram. - -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis - -### Discussion - -Lorem ipsum. + a b ne + ------------- + Boolean + (a = b) ### Crosslinks -Lorem ipsum. +[cmp] +[eq] +[ge] +[gt] +[le] +[lt] ------------------------------------------------------------------------ @@ -3404,31 +3374,17 @@ Lorem ipsum. ## rshift -Basis Function Combinator +Basis Function -Same as a \>\> b. +[Logical Right-Shift](https://en.wikipedia.org/wiki/Logical_shift) -Gentzen diagram. - -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis - -### Discussion - -Lorem ipsum. + a n rshift + ---------------- + (a∕2ⁿ) ### Crosslinks -Lorem ipsum. +[lshift] ------------------------------------------------------------------------ diff --git a/docs/reference/ne.md b/docs/reference/ne.md index 52d0a27..2c8b8e8 100644 --- a/docs/reference/ne.md +++ b/docs/reference/ne.md @@ -2,28 +2,21 @@ ## ne -Basis Function Combinator +Basis Function -Same as a != b. +Not-Equal comparison of the two items on the top of the +stack, replacing them with a Boolean value. -Gentzen diagram. - -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis - -### Discussion - -Lorem ipsum. + a b ne + ------------- + Boolean + (a = b) ### Crosslinks -Lorem ipsum. +[cmp] +[eq] +[ge] +[gt] +[le] +[lt] diff --git a/docs/reference/rshift.md b/docs/reference/rshift.md index bd7d5b8..f71f893 100644 --- a/docs/reference/rshift.md +++ b/docs/reference/rshift.md @@ -2,28 +2,14 @@ ## rshift -Basis Function Combinator +Basis Function -Same as a \>\> b. +[Logical Right-Shift](https://en.wikipedia.org/wiki/Logical_shift) -Gentzen diagram. - -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis - -### Discussion - -Lorem ipsum. + a n rshift + ---------------- + (a∕2ⁿ) ### Crosslinks -Lorem ipsum. +[lshift]