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This is the gtwiwtg Reference Manual, version 0.1.1, generated automatically by Declt version 3.0 "Montgomery Scott" on Tue Dec 22 13:39:44 2020 GMT+0.
• Introduction | What gtwiwtg is all about | |
• Systems | The systems documentation | |
• Files | The files documentation | |
• Packages | The packages documentation | |
• Definitions | The symbols documentation | |
• Indexes | Concepts, functions, variables and data types |
Generators The Way I Want Them Generated
(Technically not generators, but iterators.)
The GTWIWTG library is meant to be small, explorable, and understandable. The source code is meant to be legible and straightforward.
Every symbol exported from the GTWIWTG
package has a useful
docstring. Many docstrings include examples of use.
Table Of Contents
git clone https://github.com/cbeo/gtwiwtg /path/to/quicklisp/local-projects/
(ql:quickload :gtwiwtg)
(use-package :gtwiwtg)
Here are a few examples to show you what you can do. A more involved example apears at the end of the document, following the tutorial.
> (defun prime-p (n)
"Naive test for primes."
(loop
:for x :from 2 :upto (sqrt n)
:when (zerop (mod n x)) :do (return nil)
:finally (return t)))
> (defun all-primes ()
"Creates a generator that produces an infinite series of primes."
(filter! #'prime-p (range :from 2)))
> (take 10 (all-primes)) ;; (2 3 5 7 11 13 17 19 23 29)
> (defun fibs ()
"Creates an infinite series of Fibonacci numbers."
(from-recurrence
(lambda (n-1 n-2) (+ n-1 n-2))
1 0))
;; First ten Fibonacci numbers
> (take 10 (fibs)) ;; (1 2 3 5 8 13 21 34 55 89)
;; Just the 40th Fibonacci number, indexed from 0
> (car (pick-out '(40) (fibs))) ;; 267914296
> (defun grepper (pattern file)
(filter! (lambda (idx-line) (search pattern (second idx-line)))
(zip! (range) (file-lines file))))
> (for (idx line) (grepper "defun" "examples.lisp")
(format t "~4a: ~a~%" idx line))
12 : (defun prime-p (n)
19 : (defun all-primes ()
37 : (defun fibs ()
52 : (defun fill-and-insert (idx elem vec buffer)
69 : (defun thread-through (elem vec)
86 : (defun perms (vec)
104 : ;; (defun perms (vec)
115 : (defun grepper (pattern file)
GTWIWTG is a tiny library for creating and using generators.
If you have never heard of generators before, let me offer a definition, but not the definition.
For the purposes of this library, a generator is an object that can produce a series of values, one value at a time. Generators are sometimes convenient when you want to deal with series that are too long to fit into memory. They also help when you want to generate sequential data using recurrence relations, as in the Fibonacci example above.
In GTWIWTG, there are three kinds of functions.
The two most common generator constructors are:
(range &key (from 0) to (by 1) inclusive)
(seq sequence)
Here are some examples using range
and seq
to make generators.
;; all positive integers starting at 0
> (range)
#<GTWIWTG::GENERATOR! {1001A7DF63}>
;; positive integers from 0 to 9
> (range :to 10)
#<GTWIWTG::GENERATOR! {1001A90CA3}>
;; positive integers from 0 to 10
> (range :to 10 :inclusive t)
#<GTWIWTG::GENERATOR! {1001A90CA3}>
;; numbers between 4.0 and -15.7 incremented by -0.44
> (range :from 4 :to -15.7 :by -0.44)
#<GTWIWTG::GENERATOR! {1001B09D63}>
;; the characters in the string "hello"
> (seq "hello")
#<GTWIWTG::GENERATOR! {1001B93E63}>
;; the symbols in the list
> (seq '(h e l l o))
#<GTWIWTG::GENERATOR! {1001BAB273}>
;; the symbols in the vector
> (seq #('h 'e 'l 'l 'o))
#<GTWIWTG::GENERATOR! {1001BE4883}>
As you can see, generators are objects. Nothing is generated until you consume a generator. As a quick, but greatly impoverished, example, consider this:
;; get the first 4 numbers from the range starting at 20
> (take 4 (range :from 20))
(20 21 22 23)
Here is a brief listing of the other generator constructors in GTWIWTG:
(times n)
is shorthand for (range :to n)
(repeater &rest args)
repeats its arguments in order, looping forever.(noise &optional (arg 1.0))
an infinite sequence of random numbers(from-thunk thunk)
an infinite sequence of calls to (funcall thunk)
(from-thunk-until thunk &optional until clean-up)
like from-thunk
, but stops when (funcall until)
is non nil. Runs the thunk clean-up
when done.(from-thunk-times thunk n)
like from-thunk
but stops after n
times.(from-recurrence fn n-1 &rest n-m)
generate using a recurrence relation(from-input-stream stream reader)
turn a stream into a generator(file-lines file)
a file-backed generator. Produces lines from that file (strings)(file-chars file)
a file-backed generator. Produces characters from that file.(file-bytes file)
a file-backed generator. Produces bytes from that file.You can see some of these in action in the examples section at the top of this document.
You can create more intersting and more specific generators by using a few higher-order functions to combine and transform simple generators.
These transformations are desirable because they can be performed before any elements are produced.
That is, if you think of a generator as a computation that produces a series of values, then transformation functions allow you to incrementally "build up" a desired computation before it is run.
The three core transformation functions are:
(map! fn gen &rest gens)
makes a new generator by mapping fn
over other generators(filter! pred gen)
makes a new generator by discarding values that dont satisfy pred
(inflate! fn gen)
The function fn
should make new generators using the values produced by the generator gen
. The inflate!
function combines all those "intermediate" generators into a single generator.Admittedly, the behavior of inflate!
is difficult to grok by reading a description.
Once you begin to use it, however, it becomes indispensible.
[NB: inflate!
is really a kind of monadic bind operator in disguise.]
Here are some simple examples of their use:
;; map cons over two generators
> (map! #'cons (times 3)
(range :from 8))
#<GTWIWTG::GENERATOR! {1001CB28D3}>
;; consuming the above using collect
> (collect (map! #'cons (times 3) (range :from 8)))
((0 . 8) (1 . 9) (2 . 10))
;; Notice that map! stops generating after 3 steps even though
;; (range :from 8) is an infinite generator. This is because (times 3)
;; only generates 3 values.
;; get just the even values from a generator:
> (collect (filter! #'evenp (times 10)))
(0 2 4 6 8)
;; generate (times N) for each N in the range 1 to 4
> (for x (inflate! #'times (range :from 1 :to 4 :inclusive t))
(when (zerop x) (terpri))
(princ x) (princ #\Space))
0 ; (times 1)
0 1 ; (times 2)
0 1 2 ; (times 3)
0 1 2 3 ; (times 4)
(zip! gen1 &rest gens)
is shorthand for (map! #'list gen1 gen2 ...)
(indexed! gen)
is shorthand for (zip! (range) gen)
(concat! gen &rest gens)
concatenates generators(skip! n gen)
produces a generator by skipping the first n
values in gen
(skip-while! pred gen)
produces a generator by skipping elements of gen
while pred
is t
(merge! comp gen1 gen2 &rest gens)
emulates the behavior of merge
but for generators(truncate! n gen)
produces at most n
of the values produced by gen
(inject! fn gen)
shorthand for (map! (lambda (x) (funcall fn x) x) gen)
(intersperse! gen1 gen2 &rest gens)
returns a generator that
intermingles the values of its argument generators, in the order
they appear in the argument list.(Or, there's a reason those forms all end in !
.)
You must be cautious when incrementally building up generators. The
reason for caution is that generators cannot be "combined twice". If
you are storing intermediate generators in a let
binding, for
example, you may be tempted to pass those bound variables into
generator combination functions more than once. If you do, an error
will be signalled.
The general rule is: if you pass a generator to more than one
combining function (those whose names end in !
), or if you pass the
same generator to one such function at two argument positions, then
an error will be raised and new the generator will not be built.
Internally, the library keeps track of whether or not generators have been combined with others. Don't quote me on it, but I think that the library will prevent you from making generators with surprising (i.e. erroneous) behavior.
Here is an example to show you the illegal behavior:
> (let ((ten-times (times 10)))
(zip! ten-times ten-times))
; Evaluation aborted on #<SIMPLE-ERROR "~@<The assertion ~S failed~:[.~:; ~
with ~:*~{~S = ~S~^, ~}.~]~:@>" {10046A61D3}>.
The gist is that we tried to zip a generator with itself. Such behavior is not allowed.
An ongoing goal is to make those errors nicer to look at so that you can more easily pin-point where you goofed.
Finally! Once you have built up your generators using constructors and combinations, you want to actually use them for something. This is where consumers come in.
There is one fundamental consumer, a macro, called for
. (Triumphant Horns Play)
Every other consumer in GTWIWTG
uses for
under the hood.
Here is how it looks when you use it:
> (for x (times 3)
(print x))
0
1
2
> (for (x y) (zip! (seq "hello") (range))
(format t "~a -- ~a~%" x y)
(when (= 4 y)
(princ "world!")
(terpri))
h -- 0
e -- 1
l -- 2
l -- 3
o -- 4
world!
> (let* ((ten-times (times 10))
(doubled (map! (lambda (x) (* 2 x)) ten-times))
(incremented (map! #'1+ doubled))
(indexed (zip! (range) incremented)))
(for (index number) indexed
(princ index)
(princ " -- ")
(princ number)
(terpri)))
0 -- 1
1 -- 3
2 -- 5
3 -- 7
4 -- 9
5 -- 11
6 -- 13
7 -- 15
8 -- 17
9 -- 19
As you can see for
has 3 basic parts: a binding form, a generator
form, and a body.
The binding form is either a variable, like x
above, or is a form
suitable for use in the binding form of a DESTRUCTURING-BIND
, like
(x y)
above.
On each iteration, the variables in the binding form are bound to successive values generated by the generator form. Notice that you do not need to inline your generator form, you can build it up and pass it in as in the third example above.
Finally, the body is evaluated for each iteration.
[Aside: for
used to be called iter
, but I didn't want to step on
the toes of series
and iterate
users :P].
Even if you don't think you're "using up" the whole generator, a generator can only be passed to a single consumer. Once that consumer finishes, the generator is consumed. Here is an example:
>(let ((foo (seq "foobar")))
(print (take 2 foo))
(print (collect foo)))
(#\f #\o)
NIL
Even though you only seemed to use the first two members of the
generator foo
, the take
form will mark the generator as having
been consumed in its entirety.
That is, even when the whole sequence was not actually generated, a consuming form leaves its generator in an unusable state. This approach has been taken in order to automatically close streams for stream-backed generators - i.e. it has been done in the spirit of letting you not have to think about how generators work.
You need only remember the rule: Generators Are Consumed At Most Once.
The next most common consuming form is fold
, which lets you consume
values produced by a generator while accumulating some data along the
way.
Here is how you would do a classic summing operation:
> (fold (sum 0) (x (times 10))
(+ sum x))
45
The syntax is (fold (acc init) (iter-var gen) update)
.
First, you declare and initialize an accumulator variable. In the
above that is the form (sum 0)
, which declares a variable called
sum
initialized to 0
.
Next comes your iteration variable and generator form. These have the
same syntax as for
. So in the above we bind a variable x
to each
successive value generated by (times 10)
.
Finally, you write a single update form whose value becomes bound to your
accumulator variable. In the above example sum
is set to (+ sum x)
.
The fold
form returns the final value of the accumulator.
Here are some more folds:
;; some funky calculation
> (fold (acc 0)
((x y) (zip! (times 10) (range :by -1)))
(sqrt (+ acc (* x y))))
#C(0.444279 8.986663)
;; Example: building a data structure
> (fold (plist nil)
((key val)
(zip! (seq '(:name :occupation :hobbies))
(seq '("buckaroo banzai"
"rocker"
("neuroscience" "particle physics" "piloting fighter jets")))))
(cons key (cons val plist)))
(:HOBBIES ("neuroscience" "particle physics" "piloting fighter jets")
:OCCUPATION "rocker" :NAME "buckaroo banzai")
All of the remaining consumers are regular functions that have been
built using for
and fold
. They are:
(collect gen)
collects the values of gen
into a list(take n gen)
collects the first n
values of gen
into a list(pick-out indices gen)
see example below(size gen)
consumes a generator, returning the number of values it produced(maximum gen)
returns the maximum among the values in gen (subject to change)(minimum gen)
see maximum(average gen)
returns the average of the values produced by gen(argmax fn gen)
returns a pair (val . x)
where val
is the value of gen
for which (funcal fn val)
is maximal. x
is (funcall fn val)
(argmin fn gen)
see argmaxThe pick-out
consumer is interesting enough to see a quick example of:
;; pick out characters and index 1 and index 4
> (pick-out '(1 4) (seq "generators"))
(#\e #\r)
;; you can do this in any order
> (pick-out '(4 1) (seq "generators"))
(#\r #\e)
;; you can even repeat indices
> (pick-out '(4 1 1 4 2) (seq "generators"))
(#\r #\e #\e #\r #\n)
If you would like to use for
and fold
macros with a little less
visual noise (but sacrificing some of their flexibility), you can use
the gtwiwtg.anaphora
package. Here's an example:
> (use-package :gtwiwtg) ;; gets you the core package
> (use-package :gtwiwtg.anaphora) ;; gets you the two extra anaphoric consumers
;; ordinary for
> (for x (times 3) (print x))
0
1
2
;; anaphoric for
> (afor (times 3) (print it)) ;; the variable IT is provided by AFOR
0
1
2
;; ordinary fold
> (fold (sum 0) (x (times 10)) (+ sum x))
45
;; anaphoric fold
> (afold 0 (times 10) (+ acc it)) ;; variables IT and ACC are provided by AFOLD
45
Generators are subclasses of gtwiwtg::generator!
that have at least
two methods specialized on them:
(gtwiwtg::next gen)
: advances the generator and gets its next value(gtwiwtg::has-next-p gen)
: checks whether or not the generator has a next valueAdditionally, if your generator needs to perform cleanup after it is
consumed, you can implement the :after
method combination for the method
(gtwiwtg::stop gen)
: is called by consumers to mark the generator
as stopped.None of the above are meant to be called by users of the library, which is why they are not exported symbols. But if you want to make your own generators you can.
A silly example:
> (defclass countdown (gtwiwtg::generator!)
((value :accessor countdown-value
:initarg :value
:initform 0)))
> (defmethod gtwiwtg::next ((g countdown))
(decf (countdown-value g)))
> (defmethod gtwiwtg::has-next-p ((g countdown))
(plusp (countdown-value g)))
;; you might also want a constructor
> (defun countdown (n) (make-instance 'countdown :value n))
;; now you can use it:
> (for x (countdown 4) (print x))
3
2
1
0
You can see that next
ASSUMES that there is a next value. This is
one of the reasons you are not ment to call next
manually. The
for
consumer automatically checks that there is a next value before
trying to get it.
Now that the mysteries that make generators go have been explained in
the previous section, you may be tempted to manually call next
and
has-next-p
on your generators. If you must do this, you should use
the with-generator
macro:
> (with-generator (gen (seq "a1b2c3"))
(when (gtwiwtg::has-next-p gen)
(princ (gtwiwtg::next gen))
(terpri)))
a
The with-generator
form will ensure that the generator is properly
closed. It could be useful with generators backed by input streams
that need a custom logic, or perhaps in some case where you need to
interleave operations between multiple generators. I'm not sure if you
ever will need it, but the library provides it just in case.
One final example to show you what you can do. Here is a function that
generates all of the permutations of a sequence passed to it, one at a
time. It is a good example of the usefulness of inflate!
.
(defun perms (vec)
"Creates a generator that produces all of the permutations of the
vector VEC, one at a time."
(if (= 1 (length vec)) (seq (list vec))
(let ((elem (elt vec 0))
(subperms (perms (make-array (1- (length vec))
:displaced-to vec ; share vec's memory
:displaced-index-offset 1
:element-type (array-element-type vec)))))
(inflate! (lambda (subperm) (thread-through elem subperm))
subperms))))
The basic flow is:
The interesting bit about this is that we recursively compute
permutation generators for the subvectors of vec
in a classic
divide-and-conquer way, and then use inflate!
to combine those
"generated sub-generators" into a single generator, which we return.
The above code is made significantly noisier by the use of displaced arrays. Displaced arrays let us share memory with the original vector.
For each "sub permutation", we create a new generator using a
generator constructor called thread-through
. This is the part where
we "add back" the singled out element.
(defun thread-through (elem vec)
"Creates a generator that produces a series of N vectors of length
N, where N is one greater than the length of VEC. The vectors
produced by this generator have the same contents as VEC but have ELEM
inserted at each possible spot, N spots in all.
Note: The generator reuses the memory that it returns on each step. If
you intend to collect the values of the generator, you should copy
them on each iteration."
(let ((buffer (concatenate 'vector vec (list elem)))) ;; reusable buffer
(map! (lambda (idx)
(fill-and-insert idx elem vec buffer)
buffer)
(range :from 0 :to (length vec) :inclusive t))))
And this function uses a utility function called fill-and-insert
that just fills a buffer, which I pulled out into its own function for
clarity:
(defun fill-and-insert (idx elem vec buffer)
"A utilty function that modifies BUFFER.
The length of BUFFER is assumed to be one greater than the length of
VEC.
This function fills the first IDX fields of BUFFER with the first IDX
fields of VEC. It fills the field of BUFFER at IDX with ELEM. And it fills
the remaining fields of BUFFER with the remaining fields of VEC.
"
(loop :for i :below (length buffer)
:when (= i idx) :do (setf (aref buffer idx) elem)
:when (< i idx) :do (setf (aref buffer i)
(aref vec i))
:when (> i idx) :do (setf (aref buffer i)
(aref vec (1- i)))) )
And here's a quick demo of its use:
;; the map! is to turn vectors back into strings for ease of viewing
(for perm (map! (lambda (x) (concatenate 'string x))
(perms "abcd"))
(print perm))
"abcd"
"bacd"
"bcad"
"bcda"
"acbd"
"cabd"
"cbad"
"cbda"
"acdb"
"cadb"
"cdab"
"cdba"
"abdc"
"badc"
"bdac"
"bdca"
"adbc"
"dabc"
"dbac"
"dbca"
"adcb"
"dacb"
"dcab"
"dcba"
We could have generated all 121645100408832000 permutations of "generators are cool", and, though it would have taken us an eternity (a little more than 1000 years on a single core of my machine), the memory consumption would stay at an even keel.
Next: Files, Previous: Introduction, Up: Top [Contents][Index]
The main system appears first, followed by any subsystem dependency.
• The gtwiwtg system |
Colin Okay <okay@toyful.space>
GPLv3
Lazy-ish iterators
0.1.1
gtwiwtg.asd (file)
Files are sorted by type and then listed depth-first from the systems components trees.
• Lisp files |
• The gtwiwtg.asd file | ||
• The gtwiwtg/package.lisp file | ||
• The gtwiwtg/gtwiwtg.lisp file | ||
• The gtwiwtg/anaphora.lisp file |
Next: The gtwiwtg/package․lisp file, Previous: Lisp files, Up: Lisp files [Contents][Index]
gtwiwtg.asd
gtwiwtg (system)
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gtwiwtg (system)
package.lisp
Next: The gtwiwtg/anaphora․lisp file, Previous: The gtwiwtg/package․lisp file, Up: Lisp files [Contents][Index]
package.lisp (file)
gtwiwtg (system)
gtwiwtg.lisp
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gtwiwtg.lisp (file)
gtwiwtg (system)
anaphora.lisp
Next: Definitions, Previous: Files, Up: Top [Contents][Index]
Packages are listed by definition order.
• The gtwiwtg.anaphora package | ||
• The gtwiwtg package |
Next: The gtwiwtg package, Previous: Packages, Up: Packages [Contents][Index]
package.lisp (file)
common-lisp
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package.lisp (file)
common-lisp
Definitions are sorted by export status, category, package, and then by lexicographic order.
• Exported definitions | ||
• Internal definitions |
Next: Internal definitions, Previous: Definitions, Up: Definitions [Contents][Index]
• Exported macros | ||
• Exported functions |
Next: Exported functions, Previous: Exported definitions, Up: Exported definitions [Contents][Index]
Anaphoric FOLD. Binds the values produced by GENERATOR to IT, and
binds the accumulating variable to ACC.
Example:
> (afold 0 (times 10) (+ acc it))
45
anaphora.lisp (file)
Anaphoric FOR. Binds the values produced by GENERATOR to the variable IT.
Example:
> (afor (times 3) (print it))
0
1
2
anaphora.lisp (file)
The accumulating generator consumer.
ACC is a symbol and INIT-VAL is any lisp expression. ACC is where
intermediate results are accmulated. INIT-VAL is evaluated to
initialize ACC.
VAR-EXP can be either a symbol, or a form suitable for using as the
binding form in DESTRUCTURING-BIND.
GEN is an expression that should evaluate to a generator.
EXPR is a sigle lisp expression the value of which becomes bound to
ACC on each iteration.
When iteration has concluded, ACC becomes the value of the FOLD form.
Example: standard summing
> (fold (sum 0) (x (times 10)) (+ sum x))
45
Example: a usless calculation
> (fold (acc 0)
((x y) (zip! (times 10) (range :by -1)))
(sqrt (+ acc (* x y))))
#C(0.444279 8.986663)
Example: building data
> (fold (plist nil)
((key val)
(zip! (seq ’(:name :occupation :hobbies))
(seq ’("buckaroo banzai"
"rocker"
("neuroscience" "particle physics" "piloting fighter jets")))))
(cons key (cons val plist)))
(:HOBBIES ("neuroscience" "particle physics" "piloting fighter jets")
:OCCUPATION "rocker" :NAME "buckaroo banzai")
gtwiwtg.lisp (file)
The basic generator consumer.
VAR-EXP can be either a symbol, or a form suitable for using as the
binding form in a DESTRUCTURING-BIND.
GEN is an expression that should evaluate to a generator.
BODY is a list of any forms you like. These forms will be evaluated
for each value produced by GEN.
FOR akes care of running any clean up that the generator
requires. E.g. If the generator is backed by an open stream, the
stream will be closed. E.g. If the generator was built using
FROM-THUNK-UNTIL, then the CLEAN-UP thunk will be run before FOR
exits.
Every other consumer is built on top of FOR, and hence, every other
consumer will also perform clean up.
Example:
(for (x y) (zip! (repeater ’a ’b ’c) (times 5))
(format t "~a – ~a~%" x y))
A – 0
B – 1
A – 2
B – 3
A – 4
gtwiwtg.lisp (file)
Use this if you absolutely must manually call NEXT and HAS-NEXT-P. It will ensure that the generator bound to VAR will be stopped and cleaned up properly.
gtwiwtg.lisp (file)
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Consumes GEN. Returns a pair (X . VALUE) such that (FUNCALL FN X)
is maximal among the values of GEN. VALUE is the value of (FUNCALL FN X)
gtwiwtg.lisp (file)
Consumes GEN. Returns a pair (X . VALUE) such that (FUNCALL FN X)
is minimal among the values of GEN. VALUE is the value of (FUNCALL FN X)
gtwiwtg.lisp (file)
Consumes GEN, returning its average value.
gtwiwtg.lisp (file)
Consumes GEN by collecting its values into a list.
gtwiwtg.lisp (file)
Returns a generator that is the concatenation of the generators
passed as arguments.
Error Conditions:
- If any of the generators compare EQL, an error will be signalled.
- If any of the generators has been used elsewhere, an error will be sigalled.
gtwiwtg.lisp (file)
Creates a generator that produces the bytes of a file. The
stream to the file is closed when the generator finishes.
FILE is a path to a file.
The last generated value of the returned generator will be NIL.
gtwiwtg.lisp (file)
Creates a generator that produces the characters of a file. The
stream to the file is closed when the generator finishes.
FILE is a path to a file.
The last generated value of the returned generator will be NIL.
gtwiwtg.lisp (file)
Creates a generator that produces the lines of a file. See FROM-INPUT-STREAM for more details about stream-backed-generators.
FILE is a path to a file.
The last generated value of the returned generator will be NIL.
gtwiwtg.lisp (file)
Creats a generator that generates the values of GEN for which PRED is non null.
Error Condition:
- If GEN has been used elsewhere, an error will be signalled.
gtwiwtg.lisp (file)
Create a generator from a STREAM.
You must supply as STREAM-READER function that accepts the stream as
its only argument and returns NIL when the stream has run out of data,
Non-NIL otherwise.
The new generator will return NIL as its final generated value..
Consumers of the new generator (forms like FOR, FOLD, COLLECT, and so
on) will ensure that the stream is properly closed - you don’t need to
worry. If, however, you create a stream-backed-generator but do not
actually consume it, then the stream will not be properly closed.
Always consume your generators by passing them to a consumer!
Here is an example:
(take 2 (from-input-stream
(open "hey.txt")
(lambda (s) (read-char s nil nil))))
(#\h #\e)
gtwiwtg.lisp (file)
Creates a generator from a recurrence relation.
REC is a function of M arguments.
The Nth value of the series generated by the new generator is the result of
calling REC on the previoius M results.
N-1 and N-M are used to initialize the recurrence. (1+ (LENGTH N-M))
should be M, the number of arguments acepted by REC.
Example
> (let ((fibs (from-recurrence #’+ 1 0)))
(take 10 fibs))
(1 2 3 5 8 13 21 34 55 89)
gtwiwtg.lisp (file)
Creates a generator that produces an inifinte series of values that
are the return value of (FUNCALL THUNK).
If you need to create a stopping condition on your thunk-backed generator, see FROM-THUNK-UNTIL.
gtwiwtg.lisp (file)
Creates a generator that produces its values by calling (FUNCALL THUNK) exactly TIMES times.
gtwiwtg.lisp (file)
Creates a generator that produces a series of values by successively
calling (FUNCALL THUNK). The iterator stops whenever (FUNCALL UNTIL)
is non null.
If a CLEAN-UP thunk is supplied, it will be run after the consumption
of the new generator has finished. (Consumers are forms like FOR,
COLLECT, FOLD, and so on.)
By default, UNTIL is the function (CONSTANTLY NIL). I.e. it will generate forever.
gtwiwtg.lisp (file)
Is shorthand for (ZIP! (RANGE) GEN)
gtwiwtg.lisp (file)
FN is expected to be a function that accepts elements of GEN and
returns a new generator.
The generator (INFLATE! FN GEN) generates each element of an
intermediate generator (FN X) for each X generated by GEN.
When a thunk is supplied to EXTRA-CLEANUP, then that thunk will be
called when the inflated generator is stopped. EXTRA-CLEANUP exists
for the case when FN returns generators that are not being created
within the body of FN, but are merely being "looked up" somehow. See
the implementation of CONCAT! for an example.
Here is an example:
> (let ((keys (seq ’(:name :occupation :hobbies)))
(vals (seq ’("buckaroo banzai"
"rocker"
("neuroscience" "particle physics" "piloting fighter jets")))))
(collect (inflate! #’seq (zip! keys vals))))
(:NAME "buckaroo banzai"
:OCCUPATION "rocker"
:HOBBIES ("neuroscience" "particle physics" "piloting fighter jets"))
Error Conditions:
- If GEN has been used elsewhere, an error will be signalled.
gtwiwtg.lisp (file)
Injects an effect into a generator. Use this to add a side-effect
to the value generation process.
Under most circumstances, the new generator produces exactly the same
values as GEN. If, however, the values generated by GEN are being
looked up in some remote memory location, and if FN is mutating that
memory, then the new generator may produce different values.
Possibly good for debugging.
Example:
> (map! #’reverse
(inject! #’print ; look at values before they’re reversed
(zip! (range)
(repeater :cool :beans)
(seq "banzai!"))))
> (collect *)
(0 :COOL #b) ;these are printed to stdout
(1 :BEANS #a)
(2 :COOL #n)
(3 :BEANS #z)
(4 :COOL #a)
(5 :BEANS #i)
((#b :COOL 0) ; and this is what collect returns
(#a :BEANS 1)
(#n :COOL 2)
(#z :BEANS 3)
(#a :COOL 4)
(#i :BEANS 5))
gtwiwtg.lisp (file)
Produces a generator that intersperses one value from each of its
argument generators, one after the other, until any of those
generators run out of values.
Examples:
> (intersperse! (seq ’(:name :job :hobbies))
(seq ’("buckaroo banzai"
"rocker"
("neuroscience"
"particle physics"
"flying fighter jets"))))
> (collect *)
(:NAME "buckaroo banzai" :JOB "rocker" :HOBBIES
("neuroscience" "particle physics" "flying fighter jets"))
> (intersperse! (times 5) (repeater ’a ’b ’c) (range :by -10))
> (collect *)
(0 A 0 1 B -10 2 C -20 3 A -30 4 B -40)
gtwiwtg.lisp (file)
Maps a function over a number of generators, returning a generator
that produces values that result from calling MAP-FN on those
generators’ values, in sequence.
The resulting generator will stop producing values as soon as any one
of the source generators runs out of arguments to pass to
MAP-FN. I.e. The new generator is as long as the shortest argument.
Error Conditions:
- If any of the generators compare EQL an error will be signalled
- If any of the generators have been used elsewhere, an error will be signalled.
gtwiwtg.lisp (file)
Consumes GEN, returning its maximum value.
gtwiwtg.lisp (file)
Emulates the behavior of MERGE (in the ANSI standard), but for generators.
The emulation is not perfect, but it holds in the following sense: If
all the inputs are sorted according to COMPARATOR then the output will
also be sorted according to COMPARATOR.
The generator created through a merge has a length that is the sum of
the lengths of the arguments to MERGE!. Hence, if any of the arguments
is an infinite generator, then the new generator is also infinite.
An example:
> (collect (merge! #’<
(times 4)
(range :from 4 :to 10 :by 2)
(range :from -10 :to 28 :by 6)))
(-10 -4 0 1 2 2 3 4 6 8 8 14 20 26)
Error Conditions:
- If any of the generators compare EQL, an error will be signalled.
- If any of the generators have been used elsewhere, an error will be signalled.
gtwiwtg.lisp (file)
Consumes GEN, returning its minimum value.
gtwiwtg.lisp (file)
Creates a generator that produces an infinite series of random numbers that are the result of calling (RANDOM ARG).
gtwiwtg.lisp (file)
Consumes GEN by picking out certain members by their index.
INDEXES is a list of non-negative integers.
Returns a list of values from GEN such that each value was an element of indexes.
gtwiwtg.lisp (file)
Create a generator that produces a series of numbers between FROM
and TO with a step size of BY.
When INCLUSIVE is non NIL, then TO will be produced by the generator
if it would be the last member of generate series.
E.g.
> (collect (range :to 10))
(0 1 2 3 4 5 6 7 8 9)
> (collect (range :to 10 :inclusive t))
(0 1 2 3 4 5 6 7 8 9 10)
> (collect (range :to 10 :by 2 :inclusive t))
(0 2 4 6 8 10)
> (collect (range :to 10 :by 3 :inclusive t))
(0 3 6 9)
If TO is NIL, then the generator produces an infinite series of values.
gtwiwtg.lisp (file)
Creates a generator that produces an infinite series consisting in the the values of ARGS looped forever.
gtwiwtg.lisp (file)
Turns a sequecne (a list, vector, string, etc) into a
generator. The resulting generator will generate exactly the members
of the sequence.
gtwiwtg.lisp (file)
Consumes GEN by calculating its size.
gtwiwtg.lisp (file)
Consumes GEN by collecting its first N values into a list
gtwiwtg.lisp (file)
Shorthand for (RANGE :TO N)
gtwiwtg.lisp (file)
Shrinks a generator to generate a series of at most N values.
gtwiwtg.lisp (file)
Is a shortcut for (MAP! #’LIST GEN1 GEN2 ...)
gtwiwtg.lisp (file)
Previous: Exported definitions, Up: Definitions [Contents][Index]
• Internal macros | ||
• Internal functions | ||
• Internal generic functions | ||
• Internal classes |
Next: Internal functions, Previous: Internal definitions, Up: Internal definitions [Contents][Index]
gtwiwtg.lisp (file)
Next: Internal generic functions, Previous: Internal macros, Up: Internal definitions [Contents][Index]
gtwiwtg.lisp (file)
gtwiwtg.lisp (file)
gtwiwtg.lisp (file)
gtwiwtg.lisp (file)
gtwiwtg.lisp (file)
gtwiwtg.lisp (file)
Next: Internal classes, Previous: Internal functions, Up: Internal definitions [Contents][Index]
Indicates whether or not this generator has
generated any values yet, or if it should behave as if it has.
gtwiwtg.lisp (file)
Returns true if next can be called on the generator GEN.
gtwiwtg.lisp (file)
Returns the next value of the generator GEN, if
available. Unspecified behavior if the GEN has been exhausted.
gtwiwtg.lisp (file)
Explicitly stops the generator. Specialize :after
methods to implement any clean up that needs to be done when the
generator has been consumed.
gtwiwtg.lisp (file)
Indicates whether or not this generator has been
explicitly stopped. All consumers explicitly stop the generators
they consume.
gtwiwtg.lisp (file)
Previous: Internal generic functions, Up: Internal definitions [Contents][Index]
gtwiwtg.lisp (file)
standard-object (class)
Indicates whether or not this generator has
generated any values yet, or if it should behave as if it has.
dirty-p (generic function)
(setf dirty-p) (generic function)
Indicates whether or not this generator has been
explicitly stopped. All consumers explicitly stop the generators
they consume.
stopped-p (generic function)
(setf stopped-p) (generic function)
gtwiwtg.lisp (file)
generator! (class)
:list
gtwiwtg.lisp (file)
generator! (class)
:at
0
:to
:by
1
:comparator
(function <)
gtwiwtg.lisp (file)
generator! (class)
:sequence
:index
gtwiwtg.lisp (file)
generator! (class)
:stream
:reader
gtwiwtg.lisp (file)
generator! (class)
:next-p-fn
:next-fn
:stop-fn
Previous: Definitions, Up: Top [Contents][Index]
• Concept index | ||
• Function index | ||
• Variable index | ||
• Data type index |
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Jump to: | F G L |
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Next: Variable index, Previous: Concept index, Up: Indexes [Contents][Index]
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A C D F G H I M N P R S T W Z |
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Jump to: | (
A C D F G H I M N P R S T W Z |
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Next: Data type index, Previous: Function index, Up: Indexes [Contents][Index]
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