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algorithm.mpl
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algorithm.mpl
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# Copyright (C) Matway Burkow
#
# This repository and all its contents belong to Matway Burkow (referred here and below as "the owner").
# The content is for demonstration purposes only.
# It is forbidden to use the content or any part of it for any purpose without explicit permission from the owner.
# By contributing to the repository, contributors acknowledge that ownership of their work transfers to the owner.
# Collection access interfaces
# Index
# at ( key -- item ) get the contained item either by value or by reference
# size ( -- size ) return the number of items in the Index
#
# An Index gives random access to items of a collection of known size using the 'at' method.
# Different Index types can return items by read-only reference, read-write reference, or by value.
# Trying to get an item outside the bounds of the Index is undefined behavior.
# Iter
# next ( -- item cond ) get next item by value or by reference
# size ( -- size ) [optional] return the number of items available through Iter
#
# An Iter provides access to the collection with the ability to work with items one at a time.
# Iter is unidirectional - you can go to the next item but you cannot go back to the past.
# Different Iter types can provide items by read-only reference, read-write reference, or by value.
# When moving to the next item, the Iter changes its internal state.
# Iterable
# iter ( -- iter ) create an Iter that allows you to list all contained items, from first to last
#
# The Iterable interface allows you to create a new Iter to access the collection sequentially.
# ReverseIterable
# reverseIter ( -- iter ) create an Iter that allows you to list all contained items, from last to first
#
# The ReverseIterable interface allows you to create a new Iter to access the collection sequentially.
# View
# at ( key -- item ) [optional] get the contained item either by value or by reference
# index ( -- index ) [optional] create an Index that allows you to access all contained items
# iter ( -- iter ) create an Iter that allows you to list all contained items, from first to last
# size ( -- size ) return the size of the View, which does not necessarily match the number of items
# slice ( offset size -- view ) create a View with an offset from the current and another size
#
# A View provides access to a collection of a known size.
# The size of a View is measured in logical units and is not necessarily equal to the number of items.
# A mandatory function of View is to create a new View, potentially smaller, using the 'view' method.
# Trying to create a new View that goes beyond the current one is undefined behavior.
# A View itself does not provide access to items, but other interfaces such as Index or Iterable can provide it.
"control" use
isDirtyOrDynamic: [
object:;
@object isDirty [@object isDynamic] ||
];
# Predicates
isIndex: [
object:;
@object "at" has [@object "size" has] &&
];
isIter: [
object:;
@object "next" has
];
isView: [
object:;
@object "iter" has [@object "size" has [@object "slice" has] &&] &&
];
schemaNameBeginsWith: [
object: text:;;
@object "SCHEMA_NAME" has [@object.@SCHEMA_NAME textSplit text textSplit beginsWith] &&
];
# Built-in array, text, and tuple support
makeArrayIndex: [
data: size:;;
[size 0 < ~] "invalid size" assert
{
SCHEMA_NAME: virtual "ArrayIndex";
data: @data;
indexSize: size dup isDynamic [] [virtual] uif new;
at: [
key:;
[key 0 indexSize within] "key is out of bounds" assert
@data storageAddress @data storageSize key Natx cast * + @data addressToReference
];
size: [indexSize dup isDynamic [new] when];
}
];
makeArrayIter: [
data: size:;;
[size 0 < ~] "invalid size" assert
{
SCHEMA_NAME: virtual "ArrayIter";
data: @data;
iterSize: size new;
next: [
@data
iterSize 0 = ~ dup [
@data storageAddress @data storageSize + @data addressToReference !data
iterSize 1 - !iterSize
] when
];
size: [iterSize new];
}
];
makeArrayView: [
data: size:;;
[size 0 < ~] "invalid size" assert
{
SCHEMA_NAME: virtual "ArrayView";
data: @data;
viewSize: size dup isDirtyOrDynamic [] [virtual] uif new;
at: [
key:;
[key 0 viewSize within] "key is out of bounds" assert
@data storageAddress @data storageSize key Natx cast * + @data addressToReference
];
index: [@data viewSize makeArrayIndex];
iter: [@data viewSize makeArrayIter];
size: [viewSize dup isDynamic [new] when];
slice: [
offset: size:;;
[offset 0 viewSize between] "offset is out of bounds" assert
[size 0 viewSize offset - between] "size is out of bounds" assert
@data storageAddress @data storageSize offset Natx cast * + @data addressToReference size makeArrayView
];
}
];
toTextIter: [
unwrap data: size:;;
[size 0 < ~] "invalid size" assert
{
SCHEMA_NAME: virtual "TextIter";
data: @data;
iterSize: size new;
next: [
@data
iterSize 0 = ~ dup [
@data storageAddress @data storageSize + @data addressToReference !data
iterSize 1 - !iterSize
] when
];
size: [iterSize new];
}
];
toTextView: [
unwrap data: size:;;
[size 0 < ~] "invalid size" assert
{
SCHEMA_NAME: virtual "TextView";
data: @data;
viewSize: size dup isDynamic [] [virtual] uif new;
iter: [(@data viewSize) toTextIter];
size: [viewSize dup isDynamic [new] when];
slice: [
offset: size:;;
[offset 0 viewSize between] "offset is out of bounds" assert
[size 0 viewSize offset - between] "size is out of bounds" assert
(@data storageAddress @data storageSize offset Natx cast * + @data addressToReference size) toTextView
];
}
];
makeTupleIndex: [
tuple: offset: size:;;;
[offset 0 @tuple fieldCount between] "offset is out of bounds" assert
[size 0 @tuple fieldCount offset - between] "size is out of bounds" assert
offset isDynamic [@tuple storageAddress 0 dynamic @tuple @ storageSize offset Natx cast * + 0 @tuple @ addressToReference size makeArrayIndex] [
{
SCHEMA_NAME: virtual "TupleIndex";
tuple: @tuple;
offset: virtual offset new;
indexSize: size dup isDynamic [] [virtual] uif new;
at: [
key:;
[key 0 indexSize within] "key is out of bounds" assert
offset key + @tuple @
];
size: [indexSize dup isDynamic [new] when];
}
] if
];
makeTupleIter: [
tuple: offset: size:;;;
[offset 0 @tuple fieldCount between] "offset is out of bounds" assert
[size 0 @tuple fieldCount offset - between] "size is out of bounds" assert
offset isDynamic [@tuple storageAddress 0 dynamic @tuple @ storageSize offset Natx cast * + 0 @tuple @ addressToReference size makeArrayIter] [
{
SCHEMA_NAME: virtual "TupleIter";
tuple: @tuple;
offset0: offset new;
offset1: offset0 size + dup isDynamic [] [virtual] uif new;
next: [
offset0 isDynamic [
@tuple storageAddress
@tuple 0 fieldIsRef [
REF_SIZE Natx cast offset0 Natx cast * + 0 @tuple @ AsRef addressToReference .@data
] [
0 dynamic @tuple @ storageSize offset0 Natx cast * + 0 @tuple @ addressToReference
] if
] [
offset0 @tuple fieldCount < [offset0 @tuple @] [()] if
] if
offset0 offset1 <
offset0 1 + !offset0
];
size: [offset1 offset0 -];
}
] if
];
makeTupleView: [
tuple: offset: size:;;;
[offset 0 @tuple fieldCount between] "offset is out of bounds" assert
[size 0 @tuple fieldCount offset - between] "size is out of bounds" assert
offset isDynamic [@tuple storageAddress 0 dynamic @tuple @ storageSize offset Natx cast * + 0 @tuple @ addressToReference size makeArrayView] [
{
SCHEMA_NAME: virtual "TupleView";
tuple: @tuple;
viewOffset: virtual offset new;
viewSize: size dup isDynamic [] [virtual] uif new;
at: [
key:;
[key 0 viewSize within] "key is out of bounds" assert
viewOffset key + @tuple @
];
index: [@tuple viewOffset viewSize makeTupleIndex];
iter: [@tuple viewOffset viewSize makeTupleIter];
size: [viewSize dup isDynamic [new] when];
slice: [
offset: size:;;
[offset 0 viewSize between] "offset is out of bounds" assert
[size 0 viewSize offset - between] "size is out of bounds" assert
@tuple viewOffset offset + size makeTupleView
];
}
] if
];
toIndex: [
source:;
@source isBuiltinTuple [@source 0 @source fieldCount makeTupleIndex] [
@source isIndex [@source dup "DIE" has ~ [new] when] [
@source "index" has [@source.index] [
"Built-in tuple, Index, or Indexable expected" raiseStaticError
] if
] if
] if
];
toIter: [
source:;
@source Text same [(source storageAddress Nat8 Cref addressToReference source textSize Int32 cast) toTextIter] [
@source isBuiltinTuple [@source 0 @source fieldCount makeTupleIter] [
@source isIter [@source @source @source isConst [copyable?] [movable?] if [new] when] [
@source "iter" has [@source.iter] [
"Built-in text, tuple, Iter, or Iterable expected" raiseStaticError
] if
] if
] if
] if
];
toView: [
source:;
@source Text same [(source storageAddress Nat8 Cref addressToReference source textSize Int32 cast) toTextView] [
@source isBuiltinTuple [@source 0 @source fieldCount makeTupleView] [
@source isView [@source dup "DIE" has ~ [new] when] [
"Built-in tuple or View expected" raiseStaticError
] if
] if
] if
];
# Object iters
makeObjectIter: [{
SCHEMA_NAME: virtual "ObjectIter";
method: virtual;
object:;
offset: 0;
next: [
offset @object fieldCount = [
{} FALSE
] [
@object offset method
offset 1 + !offset
TRUE
] if
];
size: [@object fieldCount offset -];
}];
objectFields: [[object: offset:;; {key: @object offset fieldName; value: @object offset fieldRead;}] makeObjectIter];
objectKeys: [[object: offset:;; @object offset fieldName ] makeObjectIter];
objectValues: [[object: offset:;; @object offset fieldRead ] makeObjectIter];
# Comparison algorithms
<: [
object0: object1:;;
@object0 isCombined [
@object0 "less" has [FALSE] [@object0 "greater" has ~] if
] [
@object0 Text same
] if
[
@object1 isCombined [
@object1 "less" has [FALSE] [@object1 "greater" has ~] if
] [
@object1 Text same
] if
] [FALSE] if
] [
iter0: iter1: toIter; toIter;
result: FALSE;
@iter0 "size" has [
size0: @iter0.size;
@iter1 "size" has [
size1: @iter1.size;
[
size1 0 = [FALSE] [
size0 0 = [TRUE !result FALSE] [
item0: @iter0.next drop;
item1: @iter1.next drop;
@item0 @item1 < [TRUE !result FALSE] [
@item0 @item1 = ~ [FALSE] [
size0 1 - !size0
size1 1 - !size1
TRUE
] if
] if
] if
] if
] loop
] [
[
item1: @iter1.next swap; ~ [FALSE] [
size0 0 = [TRUE !result FALSE] [
item0: @iter0.next drop;
@item0 @item1 < [TRUE !result FALSE] [
@item0 @item1 = ~ [FALSE] [
size0 1 - !size0
TRUE
] if
] if
] if
] if
] loop
] if
] [
@iter1 "size" has [
size1: @iter1.size;
[
size1 0 = [FALSE] [
item0: @iter0.next swap; ~ [TRUE !result FALSE] [
item1: @iter1.next drop;
@item0 @item1 < [TRUE !result FALSE] [
@item0 @item1 = ~ [FALSE] [
size1 1 - !size1
TRUE
] if
] if
] if
] if
] loop
] [
[
item1: @iter1.next swap; ~ [FALSE] [
item0: @iter0.next swap; ~ [TRUE !result FALSE] [
@item0 @item1 < [TRUE !result FALSE] [
@item0 @item1 =
] if
] if
] if
] loop
] if
] if
result
] pfunc;
=: [
object0: object1:;;
@object0 isCombined [TRUE] [@object1 isCombined] if [
@object0 "equal" has [FALSE] [
@object1 "equal" has [FALSE] [
TRUE
] if
] if
] [FALSE] if
] [
iter0: iter1: toIter; toIter;
result: FALSE;
@iter0 "size" has [
size0: @iter0.size;
@iter1 "size" has [
size1: @iter1.size;
size0 size1 = ~ [] [
[
size1 0 = [TRUE !result FALSE] [
@iter0.next drop @iter1.next drop = dup [size1 1 - !size1] when
] if
] loop
] if
] [
[
@iter1.next ~ [
drop
size0 0 = [TRUE !result] when
FALSE
] [
size0 0 = [drop FALSE] [
@iter0.next drop swap = dup [size0 1 - !size0] when
] if
] if
] loop
] if
] [
@iter1 "size" has [
size1: @iter1.size;
[
size1 0 = [
@iter0.next ~ [TRUE !result] when
drop
FALSE
] [
@iter0.next ~ [drop FALSE] [
@iter1.next drop = dup [size1 1 - !size1] when
] if
] if
] loop
] [
[
@iter1.next ~ [
drop
@iter0.next ~ [TRUE !result] when
drop
FALSE
] [
@iter0.next ~ [drop drop FALSE] [swap =] if
] if
] loop
] if
] if
result
] pfunc;
>: [
object0: object1:;;
@object0 isCombined [
@object0 "less" has [FALSE] [@object0 "greater" has ~] if
] [
@object0 Text same
] if
[
@object1 isCombined [
@object1 "less" has [FALSE] [@object1 "greater" has ~] if
] [
@object1 Text same
] if
] [FALSE] if
] [
iter0: iter1: toIter; toIter;
result: FALSE;
@iter0 "size" has [
size0: @iter0.size;
@iter1 "size" has [
size1: @iter1.size;
[
size0 0 = [FALSE] [
size1 0 = [TRUE !result FALSE] [
item0: @iter0.next drop;
item1: @iter1.next drop;
@item0 @item1 > [TRUE !result FALSE] [
@item0 @item1 = ~ [FALSE] [
size0 1 - !size0
size1 1 - !size1
TRUE
] if
] if
] if
] if
] loop
] [
[
size0 0 = [FALSE] [
item1: @iter1.next swap; ~ [TRUE !result FALSE] [
item0: @iter0.next drop;
@item0 @item1 > [TRUE !result FALSE] [
@item0 @item1 = ~ [FALSE] [
size0 1 - !size0
TRUE
] if
] if
] if
] if
] loop
] if
] [
@iter1 "size" has [
size1: @iter1.size;
[
item0: @iter0.next swap; ~ [FALSE] [
size1 0 = [TRUE !result FALSE] [
item1: @iter1.next drop;
@item0 @item1 > [TRUE !result FALSE] [
@item0 @item1 = ~ [FALSE] [
size1 1 - !size1
TRUE
] if
] if
] if
] if
] loop
] [
[
item0: @iter0.next swap; ~ [FALSE] [
item1: @iter1.next swap; ~ [TRUE !result FALSE] [
@item0 @item1 > [TRUE !result FALSE] [
@item0 @item1 =
] if
] if
] if
] loop
] if
] if
result
] pfunc;
beginsWith: [
iter0: iter1: toIter; toIter;
result: FALSE;
@iter0 "size" has [
size0: @iter0.size;
@iter1 "size" has [
size1: @iter1.size;
size0 size1 < [] [
[
size1 0 = [TRUE !result FALSE] [
@iter0.next drop @iter1.next drop = dup [size1 1 - !size1] when
] if
] loop
] if
] [
[
@iter1.next ~ [drop TRUE !result FALSE] [
size0 0 = [drop FALSE] [
@iter0.next drop swap = dup [size0 1 - !size0] when
] if
] if
] loop
] if
] [
@iter1 "size" has [
size1: @iter1.size;
[
size1 0 = [TRUE !result FALSE] [
@iter0.next ~ [drop FALSE] [
@iter1.next drop = dup [size1 1 - !size1] when
] if
] if
] loop
] [
[
@iter1.next ~ [drop TRUE !result FALSE] [
@iter0.next ~ [drop drop FALSE] [swap =] if
] if
] loop
] if
] if
result
];
contains: [
iter0: iter1:; toIter;
size0: @iter0 "size" has [@iter0 .size] [@iter0 new count] if;
size1: @iter1 toIter "size" has [@iter1 toIter.size] [@iter1 toIter count] if;
result: FALSE;
size1 0 = [TRUE !result] [
[
size0 size1 < [FALSE] [
@iter0.next drop
iter1: @iter1 toIter;
@iter1.next drop = ~ [TRUE] [
iter0: @iter0 new;
size1: size1 1 -;
[
size1 0 = [TRUE !result FALSE] [
@iter0.next drop @iter1.next drop = dup [size1 1 - !size1] when
] if
] loop
result ~
] if
] if
dup [size0 1 - !size0] when
] loop
] if
result
];
endsWith: [
iter0: iter1: toIter; toIter;
size0: @iter0 "size" has [@iter0.size] [@iter0 new count] if;
size1: @iter1 "size" has [@iter1.size] [@iter1 new count] if;
result: FALSE;
size0 size1 < [] [
size0 size1 - [@iter0.next drop drop] times
[
size1 0 = [TRUE !result FALSE] [
@iter0.next drop @iter1.next drop = dup [size1 1 - !size1] when
] if
] loop
] if
result
];
# Control combinators
case: [
caseInternal: [
value: descriptors: key:;;;
key descriptors fieldCount 1 - = [
key @descriptors @ call
] [
value key descriptors @ = [
key 1 + @descriptors @ call
] [
value @descriptors key 2 + caseInternal
] if
] if
];
0 caseInternal
];
cond: [
condInternal: [
value: descriptors: key:;;;
key descriptors fieldCount 1 - = [
key @descriptors @ call
] [
@value key @descriptors @ call [
key 1 + @descriptors @ call
] [
@value @descriptors key 2 + condInternal
] if
] if
];
0 condInternal
];
cond0: [
cond0Internal: [
descriptors: key:;;
key descriptors fieldCount = ~ [
key descriptors fieldCount 1 - = [
key @descriptors @ call
] [
key @descriptors @ call [
key 1 + @descriptors @ call
] [
@descriptors key 2 + cond0Internal
] if
] if
] when
];
0 cond0Internal
];
# Iter producers
fibonacci: [
{
prev: swap new;
current: new;
next: [
@prev @current + @current @prev set !current
@prev new TRUE
];
}
];
iota: [
{
current: new;
next: [
@current new
@current 1 @current cast + !current
TRUE
];
}
];
# Iter transformers
countIter: [{
source: swap toIter;
count:;
next: [
@source.next dup [@count 1 @count cast + @count set] when
];
@source "size" has [
size: [@source.size];
] [] uif
}];
enumerate: [{
source: swap toIter;
key: new;
next: [
result: FALSE;
{key: @key new; value: @source.next !result;}
result dup [@key 1 @key cast + !key] when
];
@source "size" has [
size: [@source.size];
] [] uif
}];
filter: [{
source: swap toIter;
pred:;
next: [
value: ref?: result: @source.next; isRef;;
result ~ [@value ref? ~ [new] when FALSE] [
@value pred [@value ref? ~ [new] when TRUE] [
@value ref? [AsRef] [new] if
[
drop
value: @source.next !result;
@value ref? [AsRef] when
result [@value pred ~] [FALSE] if
] loop
ref? [.@data] when
result new
] if
] if
];
}];
headIter: [
source: size: end:;;;
[size 0 < ~] "invalid size" assert
{
source: @source toIter;
@source "size" has [
stopSize: size @source.size < [@source.size size -] [0] if dup isDynamic [] [virtual] uif new;
] [
iterSize: size new;
] uif
end: @end;
next: [
@source "size" has [
@source.size stopSize = [end FALSE] [@source.next drop TRUE] if
] [
iterSize 0 = [end FALSE] [
@source.next dup [iterSize 1 - !iterSize] when
] if
] if
];
@source "size" has [
size: [@source.size stopSize -];
] [] uif
}
];
joinIter: [
sources: transform: end:;;;
@sources wrapIter {
transform: @transform;
CALL: [unwrap transform];
} @end map
];
map: [
source: transform: end:;;;
{
source: @source toIter;
transform: @transform;
end: @end;
next: [
value: result: @source.next;; result [@value transform TRUE] [end FALSE] if
];
@source "at" has [
at: [@source.at transform];
] [] uif
@source "size" has [
size: [@source.size];
] [] uif
}
];
wrapIter: [{
sources: ([toIter] each);
next: [
@sources fieldCount 0 = [() FALSE] [
result: TRUE;
(
@sources [
.next ~ [FALSE !result] when
] each
)
result
] if
];
@sources ["size" has] all [
size: [
@sources fieldCount 0 = [0] [
0 @sources @ .size @sources fieldCount 1 - [i 1 + @sources @ .size min] times
] if
];
] [] uif
}];
# Iter processors
unhead: [drop isIter] [
source: size: new;;
[size 0 < ~] "invalid size" assert
[
size 0 = [FALSE] [
@source.next swap drop dup [size 1 - !size] when
] if
] loop
@source
] pfunc;
# Iter consumers
all: [swap toIter swap allStatic];
all: [drop toIter dynamic .next TRUE] [
source: pred:; toIter;
FALSE [
drop @source.next [pred TRUE = FALSE swap] [drop TRUE FALSE] if
] loop
] pfunc;
allStatic: [
source: pred:;;
@source.next [
pred [@source @pred allStatic] [FALSE] if
] [drop TRUE] if
];
any: [swap toIter swap anyStatic];
any: [drop toIter dynamic .next TRUE] [
source: pred:; toIter;
FALSE [
drop @source.next [pred ~ TRUE swap] [drop FALSE FALSE] if
] loop
] pfunc;
anyStatic: [
source: pred:;;
@source.next [
pred [TRUE] [@source @pred anyStatic] if
] [drop FALSE] if
];
count: [
source: toIter;
@source "size" has [@source.size] [
itemCount: 0;
[
@source.next swap drop dup [itemCount 1 + !itemCount] when
] loop
itemCount
] if
];
each: [
source: consume:; toIter;
[
@source.next [consume TRUE] [drop FALSE] if
] loop
];
eachStaticInternal: [
over .next [
over ucall @eachStaticInternal ucall
] [
drop drop drop
] uif
];
eachStatic: [
swap toIter swap @eachStaticInternal ucall
];
find: [
iter0: iter1:; toIter;
size0: @iter0 "size" has [@iter0 .size] [@iter0 new count] if;
size1: @iter1 toIter "size" has [@iter1 toIter.size] [@iter1 toIter count] if;
key: 0;
size1 0 = [] [
[
size0 key - size1 < [size0 new !key FALSE] [
@iter0.next drop
iter1: @iter1 toIter;
@iter1.next drop = ~ [TRUE] [
iter0: @iter0 new;
size1: size1 1 -;
result: FALSE;
[
size1 0 = [TRUE !result FALSE] [
@iter0.next drop @iter1.next drop = dup [size1 1 - !size1] when
] if
] loop
result ~
] if
] if
dup [key 1 + !key] when
] loop
] if
key
];
findOneOf: [
iter0: iter1:; toIter;
size0: @iter0 "size" has [@iter0 .size] [@iter0 new count] if;
size1: @iter1 toIter "size" has [@iter1 toIter.size] [@iter1 toIter count] if;
result: FALSE;
resultSourceKey: size0 new;
resultMatchKey: -1;
size1 0 = [] [
sourceKey: 0; [
iter1: @iter1 toIter;
matchKey: 0; [
@iter0 new @iter1.next drop beginsWith [
TRUE !result
sourceKey new !resultSourceKey
matchKey new !resultMatchKey
FALSE
] [
matchKey 1 + !matchKey
matchKey size1 = ~