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That is the F's done.

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Simon Forman 2022-03-25 11:12:48 -07:00
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28
docs/reference/first.md
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## first
Basis Function Combinator
Function
([a1 ...1] -- a1)
Replace a list with its first item.
Gentzen diagram.
[a ...]
--------------
a
### Definition
if not basis.
### Derivation
if not basis.
### Source
if basis
### Discussion
Lorem ipsum.
> [uncons] [pop]
### Crosslinks
Lorem ipsum.
[second]
[third]
[fourth]
[rest]

29
docs/reference/first_two.md
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## first_two
Basis Function Combinator
Function
([a1 a2 ...1] -- a1 a2)
Replace a list with its first two items.
Gentzen diagram.
[a b ...] first_two
-------------------------
a b
### Definition
if not basis.
### Derivation
if not basis.
### Source
if basis
### Discussion
Lorem ipsum.
> [uncons] [first]
### Crosslinks
Lorem ipsum.
[first]
[second]
[third]
[fourth]
[rest]

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docs/reference/flatten.md
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## flatten
Basis Function Combinator
Function
\<{} \[concat\] step
Given a list of lists, concatinate them.
Gentzen diagram.
### Example
[[1 2] [3 [4] 5] [6 7]] flatten
-------------------------------------
[1 2 3 [4] 5 6 7]
### Definition
if not basis.
### Derivation
if not basis.
### Source
if basis
> [\<\{\}] \[[concat]\] [step]
### Discussion
Lorem ipsum.
Note that only one "level" of lists is flattened. In the example above
`[4]` is not unquoted.
### Crosslinks
Lorem ipsum.
[concat]
[first]
[first_two]
[fourth]
[getitem]
[remove]
[rest]
[reverse]
[rrest]
[second]
[shift]
[shunt]
[size]
[sort]
[split_at]
[split_list]
[swaack]
[third]
[zip]

26
docs/reference/floor.md
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## floor
Basis Function Combinator
Basis Function
Return the floor of x as an Integral.
This is the largest integer \<= x.
Gentzen diagram.
### Definition
if not basis.
### Derivation
if not basis.
### Source
if basis
Return the largest integer \<= x.
### Discussion
Lorem ipsum.
This function doesn't make sense (yet) to have because there are (as yet)
only integers in the system.
### Crosslinks
Lorem ipsum.

27
docs/reference/floordiv.md
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## floordiv
Basis Function Combinator
Basis Function
Same as a // b.
I don't know why this is called "floor" div, I think it rounds its
result down (not towards zero or up.)
Gentzen diagram.
### Definition
if not basis.
### Derivation
if not basis.
### Source
if basis
a b floordiv
------------------
(a/b)
### Discussion
Lorem ipsum.
All the division commands need to be revisited when the "numeric tower"
for Thun gets nailed down.
### Crosslinks
Lorem ipsum.
[divmod]

25
docs/reference/fork.md
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@ -2,28 +2,25 @@
## fork
Basis Function Combinator
Combinator
\[i\] app2
Run two quoted programs in parallel and replace them with their results.
Gentzen diagram.
... [F] [G] fork
----------------------
... f g
### Definition
if not basis.
### Derivation
if not basis.
### Source
if basis
> \[[i]\] [app2]
### Discussion
Lorem ipsum.
The basic parallelism combinator, the two programs are run independently.
### Crosslinks
Lorem ipsum.
[cleave]
[clop]
[map]

28
docs/reference/fourth.md
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## fourth
Basis Function Combinator
Function
([a1 a2 a3 a4 ...1] -- a4)
Replace a list with its fourth item.
Gentzen diagram.
[a b c d ...] fourth
--------------------------
d
### Definition
if not basis.
### Derivation
if not basis.
### Source
if basis
### Discussion
Lorem ipsum.
> [rest] [third]
### Crosslinks
Lorem ipsum.
[first]
[second]
[third]
[rest]

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docs/reference/mkref/Functor-Reference.md
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@ -1397,213 +1397,184 @@ Lorem ipsum.
## first
Basis Function Combinator
Function
([a1 ...1] -- a1)
Replace a list with its first item.
Gentzen diagram.
[a ...]
--------------
a
### Definition
if not basis.
### Derivation
if not basis.
### Source
if basis
### Discussion
Lorem ipsum.
> [uncons] [pop]
### Crosslinks
Lorem ipsum.
[second]
[third]
[fourth]
[rest]
------------------------------------------------------------------------
## first_two
Basis Function Combinator
Function
([a1 a2 ...1] -- a1 a2)
Replace a list with its first two items.
Gentzen diagram.
[a b ...] first_two
-------------------------
a b
### Definition
if not basis.
### Derivation
if not basis.
### Source
if basis
### Discussion
Lorem ipsum.
> [uncons] [first]
### Crosslinks
Lorem ipsum.
[first]
[second]
[third]
[fourth]
[rest]
------------------------------------------------------------------------
## flatten
Basis Function Combinator
Function
\<{} \[concat\] step
Given a list of lists, concatinate them.
Gentzen diagram.
### Example
[[1 2] [3 [4] 5] [6 7]] flatten
-------------------------------------
[1 2 3 [4] 5 6 7]
### Definition
if not basis.
### Derivation
if not basis.
### Source
if basis
> [\<\{\}] \[[concat]\] [step]
### Discussion
Lorem ipsum.
Note that only one "level" of lists is flattened. In the example above
`[4]` is not unquoted.
### Crosslinks
Lorem ipsum.
[concat]
[first]
[first_two]
[fourth]
[getitem]
[remove]
[rest]
[reverse]
[rrest]
[second]
[shift]
[shunt]
[size]
[sort]
[split_at]
[split_list]
[swaack]
[third]
[zip]
------------------------------------------------------------------------
## floor
Basis Function Combinator
Basis Function
Return the floor of x as an Integral.
This is the largest integer \<= x.
Gentzen diagram.
### Definition
if not basis.
### Derivation
if not basis.
### Source
if basis
Return the largest integer \<= x.
### Discussion
Lorem ipsum.
This function doesn't make sense (yet) to have because there are (as yet)
only integers in the system.
### Crosslinks
Lorem ipsum.
------------------------------------------------------------------------
## floordiv
Basis Function Combinator
Basis Function
Same as a // b.
I don't know why this is called "floor" div, I think it rounds its
result down (not towards zero or up.)
Gentzen diagram.
### Definition
if not basis.
### Derivation
if not basis.
### Source
if basis
a b floordiv
------------------
(a/b)
### Discussion
Lorem ipsum.
All the division commands need to be revisited when the "numeric tower"
for Thun gets nailed down.
### Crosslinks
Lorem ipsum.
[divmod]
------------------------------------------------------------------------
## fork
Basis Function Combinator
Combinator
\[i\] app2
Run two quoted programs in parallel and replace them with their results.
Gentzen diagram.
... [F] [G] fork
----------------------
... f g
### Definition
if not basis.
### Derivation
if not basis.
### Source
if basis
> \[[i]\] [app2]
### Discussion
Lorem ipsum.
The basic parallelism combinator, the two programs are run independently.
### Crosslinks
Lorem ipsum.
[cleave]
[clop]
[map]
------------------------------------------------------------------------
## fourth
Basis Function Combinator
Function
([a1 a2 a3 a4 ...1] -- a4)
Replace a list with its fourth item.
Gentzen diagram.
[a b c d ...] fourth
--------------------------
d
### Definition
if not basis.
### Derivation
if not basis.
### Source
if basis
### Discussion
Lorem ipsum.
> [rest] [third]
### Crosslinks
Lorem ipsum.
[first]
[second]
[third]
[rest]
------------------------------------------------------------------------