## SRFI-133: Vector Library (R7RS compatible)

This SRFI proposes a comprehensive library of vector operations accompanied by a freely available and complete reference implementation. The reference implementation is unencumbered by copyright, and useable with no modifications on any Scheme system that is R5RS-compliant. It also provides several hooks for implementation-specific optimization as well.

## TOC »

## Installation

$ chicken-install srfi-133

or

$ chicken-install srfi-133 -test

if you want to run the tests for the egg in addition.

## SRFI Description

For a full description of this SRFI, see the full SRFI document. This documentation covers the API only.

## Vector Library (R7RS compatible)

### Constructors

`make-vector``size``#!optional``fill`procedure[R7RS-small] Creates and returns a vector of size

`size`. If`fill`is specified, all the elements of the vector are initialized to`fill`. Otherwise, their contents are indeterminate.Example:

(make-vector 5 3) ;=> #(3 3 3 3 3)

`vector``x``...`procedure[R7RS-small] Creates and returns a vector whose elements are

`x ...`.Example:

(vector 0 1 2 3 4) ;=> #(0 1 2 3 4)

`vector-unfold``f``length``initial-seed``...`procedureThe fundamental vector constructor. Creates a vector whose length is

`length`and iterates across each index k between 0 and`length`, applying`f`at each iteration to the current index and current seeds, in that order, to receive n + 1 values: first, the element to put in the kth slot of the new vector and n new seeds for the next iteration. It is an error for the number of seeds to vary between iterations. Note that the termination condition is different from the`unfold`procedure of SRFI 1.Examples:

(vector-unfold (lambda (i x) (values x (- x 1))) 10 0) ;=> #(0 -1 -2 -3 -4 -5 -6 -7 -8 -9)

Construct a vector of the sequence of integers in the range [0,n).

(vector-unfold values n) ;=> #(0 1 2 ... n-2 n-1)

Copy vector.

(vector-unfold (lambda (i) (vector-ref vector i)) (vector-length vector))

`vector-unfold-right``f``length``initial-seed``...`procedureLike

`vector-unfold`, but it uses`f`to generate elements from right-to-left, rather than left-to-right. The first index used is length - 1. Note that the termination condition is different from the`unfold-right`procedure of SRFI 1.Examples:

Construct a vector of pairs of non-negative integers whose values sum to 4.

(vector-unfold-right (lambda (i x) (values (cons i x) (+ x 1))) 5 0) ;=> #((0 . 4) (1 . 3) (2 . 2) (3 . 1) (4 . 0))

Reverse vector.

(vector-unfold-right (lambda (i x) (values (vector-ref vector x) (+ x 1))) (vector-length vector) 0)

`vector-copy``vec``#!optional``start``end`procedure[R7RS-small] Allocates a new vector whose length is

`end`-`start`and fills it with elements from`vec`, taking elements from`vec`starting at index`start`and stopping at index`end`.`start`defaults to 0 and`end`defaults to the value of`(vector-length vec)`. SRFI 43 provides an optional fill argument to supply values if end is greater than the length of`vec`. Neither R7RS-small nor this SRFI requires support for this argument.Examples:

(vector-copy '#(a b c d e f g h i)) ;=> #(a b c d e f g h i) (vector-copy '#(a b c d e f g h i) 6) ;=> #(g h i) (vector-copy '#(a b c d e f g h i) 3 6) ;=> #(d e f)

`vector-reverse-copy``vec``#!optional``start``end`procedureLike

`vector-copy`, but it copies the elements in the reverse order from`vec`.Example:

(vector-reverse-copy '#(5 4 3 2 1 0) 1 5) ;=> #(1 2 3 4)

`vector-append``vec``...`procedure[R7RS-small] Returns a newly allocated vector that contains all elements in order from the subsequent locations in

`vec ...`.Examples:

(vector-append '#(x) '#(y)) ;=> #(x y) (vector-append '#(a) '#(b c d)) ;=> #(a b c d) (vector-append '#(a #(b)) '#(#(c))) ;=> #(a #(b) #(c))

`vector-concatenate``list-of-vectors`procedureAppends each vector in list-of-vectors. This is equivalent to:

(apply vector-append list-of-vectors)

However, it may be implemented better.

Example:

(vector-concatenate '(#(a b) #(c d))) ;=> #(a b c d)

`(vector-append-subvectors [vec start end] ...)`procedureReturns a vector that contains every element of each

`vec`from`start`to`end`in the specified order. This procedure is a generalization of`vector-append`.Example:

(vector-append-subvectors '#(a b c d e) 0 2 '#(f g h i j) 2 4) ;=> #(a b h i)

### Predicates

`vector?``x`procedure[R7RS-small] Disjoint type predicate for vectors: this returns

`#t`if`x`is a vector, and`#f`if otherwise.Examples:

(vector? '#(a b c)) ;=> #t (vector? '(a b c)) ;=> #f (vector? #t) ;=> #f (vector? '#()) ;=> #t (vector? '()) ;=> #f

`vector-empty?``vec`procedureReturns

`#t`if vec is empty, i.e. its length is 0, and`#f`if not.Examples:

(vector-empty? '#(a)) ;=> #f (vector-empty? '#(())) ;=> #f (vector-empty? '#(#())) ;=> #f (vector-empty? '#()) ;=> #t

`vector=``elt=?``vec``...`procedureVector structure comparator, generalized across user-specified element comparators. Vectors a and b are considered equal by

`vector=`iff their lengths are the same, and for each respective element Ea and Eb,`(elt=? Ea Eb)`returns a true value.`elt=?`is always applied to two arguments. Element comparison must be consistent with eq; that is, if`(eq? Ea Eb)`results in a true value, then`(elt=? Ea Eb)`must also result in a true value. This may be exploited to avoid unnecessary element comparisons. (The reference implementation does, but it does not consider the situation where`elt=?`is in fact itself`eq?`to avoid yet more unnecessary comparisons.)If there are only zero or one vector arguments,

`#t`is automatically returned. The dynamic order in which comparisons of elements and of vectors are performed is left completely unspecified; do not rely on a particular order.Examples:

(vector= eq? '#(a b c d) '#(a b c d)) ;=> #t (vector= eq? '#(a b c d) '#(a b d c)) ;=> #f (vector= = '#(1 2 3 4 5) '#(1 2 3 4)) ;=> #f (vector= = '#(1 2 3 4) '#(1 2 3 4)) ;=> #t

The two trivial cases.

(vector= eq?) ;=> #t (vector= eq? '#(a)) ;=> #t

Note the fact that we don't use vector literals in the next two -- it is unspecified whether or not literal vectors with the same external representation are

`eq?`.(vector= eq? (vector (vector 'a)) (vector (vector 'a))) ;=> #f (vector= equal? (vector (vector 'a)) (vector (vector 'a))) ;=> #t

### Selectors

`vector-ref``vec``i`procedure[R7RS-small] Vector element dereferencing: returns the value that the location in

`vec`at`i`is mapped to in the store. Indexing is based on zero.`i`must be within the range`[0, (vector-length vec))`.Example:

(vector-ref '#(a b c d) 2) ;=> c

`vector-length``vec`procedure[R7RS-small] Returns the length of

`vec`, the number of locations reachable from`vec`. (The careful word 'reachable' is used to allow for 'vector slices,' whereby`vec`refers to a larger vector that contains more locations that are unreachable from`vec`. This SRFI does not define vector slices, but later SRFIs may.)Example:

(vector-length '#(a b c)) ;=> 3

### Iteration

`vector-fold``kons``knil``vec1``vec2``...`procedureThe fundamental vector iterator.

`kons`is iterated over each value in all of the vectors, stopping at the end of the shortest;`kons`is applied as`(kons state (vector-ref vec1 i) (vector-ref vec2 i) ...)`where state is the current state value -- the current state value begins with`knil`, and becomes whatever`kons`returned on the previous iteration --, and i is the current index.The iteration is strictly left-to-right.

Examples:

Find the longest string's length in vector-of-strings.

(vector-fold (lambda (len str) (max (string-length str) len)) 0 vector-of-strings)

Produce a list of the reversed elements of vec.

(vector-fold (lambda (tail elt) (cons elt tail)) '() vec)

Count the number of even numbers in vec.

(vector-fold (lambda (counter n) (if (even? n) (+ counter 1) counter)) 0 vec)

`vector-fold-right``kons``knil``vec1``vec2``...`procedureSimilar to

`vector-fold`, but it iterates right to left instead of left to right.Example:

Convert a vector to a list.

(vector-fold-right (lambda (tail elt) (cons elt tail)) '() '#(a b c d)) ;=> (a b c d)

`vector-map``f``vec1``vec2``...`procedure[R7RS-small] Constructs a new vector of the shortest size of the vector arguments. Each element at index i of the new vector is mapped from the old vectors by

`(f (vector-ref vec1 i) (vector-ref vec2 i) ...)`. The dynamic order of application of`f`is unspecified.Examples:

(vector-map (lambda (x) (* x x)) (vector-unfold (lambda (i x) (values x (+ x 1))) 4 1)) ;=> #(1 4 9 16) (vector-map (lambda (x y) (* x y)) (vector-unfold (lambda (x) (values x (+ x 1))) 5 1) (vector-unfold (lambda (x) (values x (- x 1))) 5 5)) ;=> #(5 8 9 8 5) (let ((count 0)) (vector-map (lambda (ignored-elt) (set! count (+ count 1)) count) '#(a b))) ;=> #(1 2) OR #(2 1)

`vector-map!``f``vec1``vec2``...`procedureSimilar to

`vector-map`, but rather than mapping the new elements into a new vector, the new mapped elements are destructively inserted into`vec1`. Again, the dynamic order of application of`f`unspecified, so it is dangerous for`f`to apply either`vector-ref`or`vector-set!`to`vec1`in`f`.

`vector-for-each``f``vec1``vec2``...`procedure[R7RS-small] Simple vector iterator: applies

`f`to the corresponding list of parallel elements from`vec1 vec2 ...`in the range [0, length), where length is the length of the smallest vector argument passed, In contrast with`vector-map`,`f`is reliably applied to each subsequent element, starting at index 0, in the vectors.Example:

(vector-for-each (lambda (x) (display x) (newline)) '#("foo" "bar" "baz" "quux" "zot"))

Displays:

foo bar baz quux zot

`vector-count``pred?``vec1``vec2``...`procedureCounts the number of parallel elements in the vectors that satisfy

`pred?`, which is applied, for each index i in the range [0, length) where length is the length of the smallest vector argument, to each parallel element in the vectors, in order.Examples:

(vector-count even? '#(3 1 4 1 5 9 2 5 6)) ;=> 3 (vector-count < '#(1 3 6 9) '#(2 4 6 8 10 12)) ;=> 2

`vector-cumulate``f``knil``vec`procedureReturns a newly allocated vector new with the same length as

`vec`. Each element i of new is set to the result of invoking`f`on newi-1 and`veci`, except that for the first call on`f`, the first argument is`knil`. The new vector is returned.Example:

(vector-cumulate + 0 '#(3 1 4 1 5 9 2 5 6)) ;=> #(3 4 8 9 14 23 25 30 36)

### Searching

`vector-index``pred?``vec1``vec2``...`procedureFinds & returns the index of the first elements in

`vec1 vec2 ...`that satisfy`pred?`. If no matching element is found by the end of the shortest vector,`#f`is returned.Examples:

(vector-index even? '#(3 1 4 1 5 9)) ;=> 2 (vector-index < '#(3 1 4 1 5 9 2 5 6) '#(2 7 1 8 2)) ;=> 1 (vector-index = '#(3 1 4 1 5 9 2 5 6) '#(2 7 1 8 2)) ;=> #f

`vector-index-right``pred?``vec1``vec2``...`procedureLike

`vector-index`, but it searches right-to-left, rather than left-to-right, and all of the vectors must have the same length.

`vector-skip``pred?``vec1``vec2``...`procedureFinds & returns the index of the first elements in

`vec1 vec2 ...`that do not satisfy`pred?`. If all the values in the vectors satisfy`pred?`until the end of the shortest vector, this returns`#f`. This is equivalent to:(vector-index (lambda (x1 x2 ...) (not (pred? x1 x1 ...))) vec1 vec2 ...)

Example:

(vector-skip number? '#(1 2 a b 3 4 c d)) ;=> 2

`vector-skip-right``pred?``vec1``vec2``...`procedureLike

`vector-skip`, but it searches for a non-matching element right-to-left, rather than left-to-right, and it is an error if all of the vectors do not have the same length. This is equivalent to:(vector-index-right (lambda (x1 x2 ...) (not (pred? x1 x1 ...))) vec1 vec2 ...)

`vector-binary-search``vec``value``cmp`procedureSimilar to

`vector-index`and`vector-index-right`, but instead of searching left to right or right to left, this performs a binary search. If there is more than one element of`vec`that matches value in the sense of`cmp`,`vector-binary-search`may return the index of any of them.`cmp`should be a procedure of two arguments and return a negative integer, which indicates that its first argument is less than its second, zero, which indicates that they are equal, or a positive integer, which indicates that the first argument is greater than the second argument. An example`cmp`might be:(lambda (char1 char2) (cond ((char<? char1 char2) -1) ((char=? char1 char2) 0) (else 1)))

`vector-any``pred?``vec1``vec2``...`procedureFinds the first set of elements in parallel from

`vec1 vec2 ...`for which`pred?`returns a true value. If such a parallel set of elements exists,`vector-any`returns the value that`pred?`returned for that set of elements. The iteration is strictly left-to-right.

`vector-every``pred?``vec1``vec2``...`procedureIf, for every index i between 0 and the length of the shortest vector argument, the set of elements

`(vector-ref vec1 i) (vector-ref vec2 i) ...`satisfies`pred?`,`vector-every`returns the value that`pred?`returned for the last set of elements, at the last index of the shortest vector. The iteration is strictly left-to-right.

`vector-partition``pred?``vec`procedureA vector the same size as

`vec`is newly allocated and filled with all the elements of`vec`that satisfy pred? in their original order followed by all the elements that do not satisfy`pred`, also in their original order.Two values are returned, the newly allocated vector and the index of the leftmost element that does not satisfy

`pred`.

### Mutators

`vector-set!``vec``i``value`procedure[R7RS-small] Assigns the contents of the location at i in

`vec`to value.

`vector-swap!``vec``i``j`procedureSwaps or exchanges the values of the locations in

`vec`at i & j.

`vector-fill!``vec``fill``#!optional``start``end`procedure[R7RS-small] Assigns the value of every location in

`vec`between`start`, which defaults to 0 and`end`, which defaults to the length of`vec`, to`fill`.

`vector-reverse!``vec``#!optional``start``end`procedureDestructively reverses the contents of the sequence of locations in

`vec`between`start`and`end`. Start defaults to 0 and end defaults to the length of`vec`. Note that this does not deeply reverse.

`vector-copy!``to``at``from``#!optional``start``end`procedure[R7RS-small] Copies the elements of vector

`from`between`start`and`end`to vector`to`, starting at`at`. The order in which elements are copied is unspecified, except that if the source and destination overlap, copying takes place as if the source is first copied into a temporary vector and then into the destination. This can be achieved without allocating storage by making sure to copy in the correct direction in such circumstances.

`vector-reverse-copy!``to``at``from``#!optional``start``end`procedureLike

`vector-copy!`, but the elements appear in`to`in reverse order.`(vector-reverse! target tstart send)`would.

`vector-unfold!``f``vec``start``end``initial-seed``...`procedureLike

`vector-unfold`, but the elements are copied into the vector`vec`starting at element`start`rather than into a newly allocated vector. Terminates when`end - start`elements have been generated.

`vector-unfold-right!``f``vec``start``end``initial-seed``...`procedureLike

`vector-unfold!`, but the elements are copied in reverse order into the vector`vec`starting at the index preceding`end`.

### Conversion

`vector->list``vec``#!optional``start``end`procedure[R7RS-small] Creates a list containing the elements in

`vec`between`start`, which defaults to 0, and`end`, which defaults to the length of`vec`.

`reverse-vector->list``vec``#!optional``start``end`procedureLike

`vector->list`, but the resulting list contains the elements in reverse of`vector`.

`list->vector``proper-list`procedure[R7RS-small] Creates a vector of elements from proper-list.

`reverse-list->vector``proper-list`procedureLike

`list->vector`, but the resulting vector contains the elements in reverse of proper-list.

`string->vector``string``#!optional``start``end`procedure[R7RS-small] Creates a vector containing the elements in

`string`between`start`, which defaults to 0, and`end`, which defaults to the length of`string`.

`vector->string``vec``#!optional``start``end`procedure[R7RS-small] Creates a string containing the elements in

`vec`between`start`, which defaults to 0, and`end`, which defaults to the length of`vec`. It is an error if the elements are not characters.

## Repository

## Version History

- 1.5
- Fixes semantics regarding
`(vector= = ...)` - 1.4
- Adds some documentation fixes and fixes the tests to account for the

change to `vector-cumulate`

- 1.3
- Fixes arg order of
`vector-cumulate`to match`fold`/`vector-fold` - 1.2
- Removes hardcoded .so extension from setup files.
- 1.1
- Incorporates standard README.org into repo.
- 1.0
- Initial release

## License

Copyright (C) Taylor Campbell (2003), John Cowan (2015-2016). All Rights Reserved.

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.