From c39d6123a91df2ee7ed00a531c7e892f78c5bfc0 Mon Sep 17 00:00:00 2001 From: Simon Forman Date: Sun, 27 Mar 2022 10:52:17 -0700 Subject: [PATCH] The M's. --- docs/reference/make_generator.md | 30 +- docs/reference/map.md | 33 +- docs/reference/max.md | 27 +- docs/reference/min.md | 27 +- docs/reference/mkref/FuncRef.html | 717 +++++++++++++++--------------- docs/reference/mkref/Functor-Reference.md | 173 +++---- docs/reference/mod.md | 28 +- docs/reference/mul.md | 28 +- 8 files changed, 488 insertions(+), 575 deletions(-) diff --git a/docs/reference/make_generator.md b/docs/reference/make_generator.md index c260071..31f8965 100644 --- a/docs/reference/make_generator.md +++ b/docs/reference/make_generator.md @@ -2,28 +2,36 @@ ## make_generator -Basis Function Combinator +Function -\[codireco\] ccons +Given an initial state value and a quoted generator function build a +generator quote. -Gentzen diagram. + state [generator function] make_generator + ----------------------------------------------- + [state [generator function] codireco] -### Definition +### Example -if not basis. + 230 [dup ++] make_generator + --------------------------------- + [230 [dup ++] codireco] -### Derivation +And then: -if not basis. + [230 [dup ++] codireco] 5 [x] times pop + --------------------------------------------- + 230 231 232 233 234 -### Source +### Definition -if basis +> \[[codireco]\] [ccons] ### Discussion -Lorem ipsum. +See the ["Using `x` to Generate Values" notebook](https://joypy.osdn.io/notebooks/Generator_Programs.html#an-interesting-variation). ### Crosslinks -Lorem ipsum. +[codireco] + diff --git a/docs/reference/map.md b/docs/reference/map.md index 2801c21..6e55b2d 100644 --- a/docs/reference/map.md +++ b/docs/reference/map.md @@ -2,29 +2,28 @@ ## map -Basis Function Combinator +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 of items and a quoted program run the program for each item +in the list (with the rest of the stack) and replace the old list and the +program with a list of the results. -Gentzen diagram. +### Example -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis + 5 [1 2 3] [++ *] map + -------------------------- + 5 [10 15 20] ### Discussion -Lorem ipsum. +This is a common operation in many languages. In Joy it can be a +parallelism combinator due to the "pure" nature of the language. ### Crosslinks -Lorem ipsum. +[app1] +[app2] +[app3] +[appN](#appn) +[fork] + diff --git a/docs/reference/max.md b/docs/reference/max.md index 58672c7..43d8ffd 100644 --- a/docs/reference/max.md +++ b/docs/reference/max.md @@ -2,28 +2,19 @@ ## max -Basis Function Combinator +Basis Function Given a list find the maximum. -Gentzen diagram. +### Example -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis - -### Discussion - -Lorem ipsum. + [1 2 3 4] max + ------------------- + 4 ### Crosslinks -Lorem ipsum. +[min] +[size] +[sum] + diff --git a/docs/reference/min.md b/docs/reference/min.md index 1fafc40..3c50b29 100644 --- a/docs/reference/min.md +++ b/docs/reference/min.md @@ -2,28 +2,19 @@ ## min -Basis Function Combinator +Basis Function Given a list find the minimum. -Gentzen diagram. +### Example -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis - -### Discussion - -Lorem ipsum. + [1 2 3 4] min + ------------------- + 1 ### Crosslinks -Lorem ipsum. +[max] +[size] +[sum] + diff --git a/docs/reference/mkref/FuncRef.html b/docs/reference/mkref/FuncRef.html index 62b2eee..94fe2e4 100644 --- a/docs/reference/mkref/FuncRef.html +++ b/docs/reference/mkref/FuncRef.html @@ -1423,97 +1423,80 @@ a F a

cmp eq ge gt le ne

make_generator

-

Basis Function Combinator

-

[codireco] ccons

-

Gentzen diagram.

+

Function

+

Given an initial state value and a quoted generator function build a generator quote.

+
   state [generator function] make_generator
+-----------------------------------------------
+     [state [generator function] codireco]
+

Example

+
   230 [dup ++] make_generator
+---------------------------------
+     [230 [dup ++] codireco]
+

And then:

+
   [230 [dup ++] codireco] 5 [x] times pop
+---------------------------------------------
+             230 231 232 233 234

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

+
+

[codireco] ccons

+

Discussion

-

Lorem ipsum.

+

See the “Using x to Generate Values” notebook.

-

Lorem ipsum.

+

codireco

map

-

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

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

+

Combinator

+

Given a list of items and a quoted program run the program for each item in the list (with the rest of the stack) and replace the old list and the program with a list of the results.

+

Example

+
   5 [1 2 3] [++ *] map
+--------------------------
+       5 [10 15 20]

Discussion

-

Lorem ipsum.

+

This is a common operation in many languages. In Joy it can be a parallelism combinator due to the “pure” nature of the language.

-

Lorem ipsum.

+

app1 app2 app3 appN fork

max

-

Basis Function Combinator

+

Basis Function

Given a list find the maximum.

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

+

Example

+
   [1 2 3 4] max
+-------------------
+         4
-

Lorem ipsum.

+

min size sum

min

-

Basis Function Combinator

+

Basis Function

Given a list find the minimum.

-

Gentzen diagram.

-

Definition

-

if not basis.

-

Derivation

-

if not basis.

-

Source

-

if basis

-

Discussion

-

Lorem ipsum.

+

Example

+
   [1 2 3 4] min
+-------------------
+         1
-

Lorem ipsum.

+

max size sum

mod

-

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

+

Return the remainder of a divided by b.

+
   a b mod
+-------------
+    (a%b)
-

Lorem ipsum.

+

divmod mul

modulus

See mod.

mul

-

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

+

Multiply two numbers.

+
   a b mul
+-------------
+    (a×b)
-

Lorem ipsum.

+

div product

ne

Basis Function

@@ -1529,13 +1512,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1544,13 +1527,13 @@ 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.

@@ -1566,20 +1549,20 @@ 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.

@@ -1590,16 +1573,16 @@ 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

@@ -1608,13 +1591,13 @@ 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.

@@ -1623,13 +1606,13 @@ 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.

@@ -1638,13 +1621,13 @@ 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.

@@ -1653,13 +1636,13 @@ 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.

@@ -1674,13 +1657,13 @@ a F a ------------- a+b a-b

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

-

Discussion

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1689,13 +1672,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1704,13 +1687,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1719,13 +1702,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1734,13 +1717,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1749,13 +1732,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1764,13 +1747,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1779,13 +1762,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1794,13 +1777,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1809,13 +1792,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1836,13 +1819,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1851,13 +1834,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1866,13 +1849,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1881,13 +1864,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1896,13 +1879,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1911,13 +1894,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -1935,13 +1918,13 @@ 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.

@@ -1950,13 +1933,13 @@ 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.

@@ -1966,13 +1949,13 @@ 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.

@@ -1981,13 +1964,13 @@ 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.

@@ -1996,13 +1979,13 @@ 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.

@@ -2018,13 +2001,13 @@ 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.

@@ -2033,13 +2016,13 @@ 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.

@@ -2057,13 +2040,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2072,13 +2055,13 @@ 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.

@@ -2096,13 +2079,13 @@ 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.

@@ -2111,13 +2094,13 @@ 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.

@@ -2126,13 +2109,13 @@ 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.

@@ -2146,13 +2129,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2161,13 +2144,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2176,13 +2159,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2191,13 +2174,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2206,13 +2189,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2221,13 +2204,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2236,13 +2219,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2251,13 +2234,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2266,13 +2249,13 @@ a+b a-b

Basis Function Combinator

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

Gentzen diagram.

-

Definition

+

Definition

if not basis.

-

Derivation

+

Derivation

if not basis.

-

Source

+

Source

if basis

-

Discussion

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2281,13 +2264,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2310,13 +2293,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2325,13 +2308,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2340,13 +2323,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2355,13 +2338,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2370,13 +2353,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2385,13 +2368,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2401,13 +2384,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2416,13 +2399,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2431,13 +2414,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2446,13 +2429,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2461,13 +2444,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2476,13 +2459,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2491,13 +2474,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2509,13 +2492,13 @@ 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.

@@ -2526,9 +2509,9 @@ 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

@@ -2537,13 +2520,13 @@ 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.

@@ -2565,13 +2548,13 @@ 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.

@@ -2583,13 +2566,13 @@ 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.

@@ -2600,9 +2583,9 @@ 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

@@ -2613,9 +2596,9 @@ 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

@@ -2624,13 +2607,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2639,13 +2622,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2654,13 +2637,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2669,13 +2652,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2684,13 +2667,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2699,13 +2682,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2714,13 +2697,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2729,13 +2712,13 @@ 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

+

Discussion

Lorem ipsum.

Lorem ipsum.

@@ -2745,22 +2728,22 @@ 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.

@@ -2769,13 +2752,13 @@ 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 cc4bc22..01432e1 100644 --- a/docs/reference/mkref/Functor-Reference.md +++ b/docs/reference/mkref/Functor-Reference.md @@ -2122,152 +2122,129 @@ stack, replacing them with a Boolean value. ## make_generator -Basis Function Combinator +Function -\[codireco\] ccons +Given an initial state value and a quoted generator function build a +generator quote. -Gentzen diagram. + state [generator function] make_generator + ----------------------------------------------- + [state [generator function] codireco] -### Definition +### Example -if not basis. + 230 [dup ++] make_generator + --------------------------------- + [230 [dup ++] codireco] -### Derivation +And then: -if not basis. + [230 [dup ++] codireco] 5 [x] times pop + --------------------------------------------- + 230 231 232 233 234 -### Source +### Definition -if basis +> \[[codireco]\] [ccons] ### Discussion -Lorem ipsum. +See the ["Using `x` to Generate Values" notebook](https://joypy.osdn.io/notebooks/Generator_Programs.html#an-interesting-variation). ### Crosslinks -Lorem ipsum. +[codireco] + ------------------------------------------------------------------------ ## map -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 - -if not basis. - -### Derivation +Combinator -if not basis. +Given a list of items and a quoted program run the program for each item +in the list (with the rest of the stack) and replace the old list and the +program with a list of the results. -### Source +### Example -if basis + 5 [1 2 3] [++ *] map + -------------------------- + 5 [10 15 20] ### Discussion -Lorem ipsum. +This is a common operation in many languages. In Joy it can be a +parallelism combinator due to the "pure" nature of the language. ### Crosslinks -Lorem ipsum. +[app1] +[app2] +[app3] +[appN](#appn) +[fork] + ------------------------------------------------------------------------ ## max -Basis Function Combinator +Basis Function Given a list find the maximum. -Gentzen diagram. - -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis - -### Discussion +### Example -Lorem ipsum. + [1 2 3 4] max + ------------------- + 4 ### Crosslinks -Lorem ipsum. +[min] +[size] +[sum] + ------------------------------------------------------------------------ ## min -Basis Function Combinator +Basis Function Given a list find the minimum. -Gentzen diagram. - -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis - -### Discussion +### Example -Lorem ipsum. + [1 2 3 4] min + ------------------- + 1 ### Crosslinks -Lorem ipsum. +[max] +[size] +[sum] + ------------------------------------------------------------------------ ## mod -Basis Function Combinator - -Same as a % b. - -Gentzen diagram. - -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis +Basis Function -### Discussion +Return the remainder of `a` divided by `b`. -Lorem ipsum. + a b mod + ------------- + (a%b) ### Crosslinks -Lorem ipsum. +[divmod] +[mul] + -------------- @@ -2280,31 +2257,19 @@ See [mod](#mod). ## mul -Basis Function Combinator - -Same as a \* b. - -Gentzen diagram. - -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis +Basis Function -### Discussion +Multiply two numbers. -Lorem ipsum. + a b mul + ------------- + (a×b) ### Crosslinks -Lorem ipsum. +[div] +[product] + ------------------------------------------------------------------------ diff --git a/docs/reference/mod.md b/docs/reference/mod.md index 687044c..9659302 100644 --- a/docs/reference/mod.md +++ b/docs/reference/mod.md @@ -2,28 +2,16 @@ ## mod -Basis Function Combinator +Basis Function -Same as a % b. +Return the remainder of `a` divided by `b`. -Gentzen diagram. - -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis - -### Discussion - -Lorem ipsum. + a b mod + ------------- + (a%b) ### Crosslinks -Lorem ipsum. +[divmod] +[mul] + diff --git a/docs/reference/mul.md b/docs/reference/mul.md index 3e579c7..4cfa5d1 100644 --- a/docs/reference/mul.md +++ b/docs/reference/mul.md @@ -2,28 +2,16 @@ ## mul -Basis Function Combinator +Basis Function -Same as a \* b. +Multiply two numbers. -Gentzen diagram. - -### Definition - -if not basis. - -### Derivation - -if not basis. - -### Source - -if basis - -### Discussion - -Lorem ipsum. + a b mul + ------------- + (a×b) ### Crosslinks -Lorem ipsum. +[div] +[product] + -- 2.11.0