racket/collects/math/private/array/array-unfold.rkt
Neil Toronto 155ec7dc41 Reviewing and refactoring `math/matrix', part 1
* Finally added `array-axis-expand' as a dual for `array-axis-reduce'
  in order to implement `vandermonde-matrix' elegantly

* Better, shorter matrix multiply; reworked all matrix arithmetic

* Split "matrix-operations.rkt" into at least 5 parts:
 * "matrix-operations.rkt"
 * "matrix-basic.rkt"
 * "matrix-comprehension.rkt"
 * "matrix-sequences.rkt"
 * "matrix-column.rkt"

Added "matrix-constructors.rkt"

Added `matrix', `row-matrix', and `col-matrix' macros

A lot of other little changes

Currently, `in-row' and `in-column' are broken. I intend to implement
them in a way that makes them work in untyped and Typed Racket.
2012-12-20 17:32:16 -07:00

52 lines
2.2 KiB
Racket

#lang typed/racket/base
(require racket/fixnum
"array-struct.rkt"
"array-pointwise.rkt"
"array-fold.rkt"
"utils.rkt"
"../unsafe.rkt")
(provide unsafe-array-axis-expand
array-axis-expand
list-array->array)
(: check-array-axis (All (A) (Symbol (Array A) Integer -> Index)))
(define (check-array-axis name arr k)
(define dims (array-dims arr))
(cond [(fx= dims 0) (raise-argument-error name "Array with at least one axis" 0 arr k)]
[(or (k . < . 0) (k . > . dims))
(raise-argument-error name (format "Index <= ~a" dims) 1 arr k)]
[else k]))
(: unsafe-array-axis-expand (All (A B) ((Array A) Index Index (A Index -> B) -> (Array B))))
(define (unsafe-array-axis-expand arr k dk f)
(define ds (array-shape arr))
(define new-ds (unsafe-vector-insert ds k dk))
(define proc (unsafe-array-proc arr))
(unsafe-build-array
new-ds (λ: ([js : Indexes])
(define jk (unsafe-vector-ref js k))
(f (proc (unsafe-vector-remove js k)) jk))))
(: array-axis-expand (All (A B) ((Array A) Integer Integer (A Index -> B) -> (Array B))))
(define (array-axis-expand arr k dk f)
(let ([k (check-array-axis 'array-axis-expand arr k)])
(cond [(not (index? dk)) (raise-argument-error 'array-axis-expand "Index" 2 arr k dk f)]
[else (unsafe-array-axis-expand arr k dk f)])))
;; ===================================================================================================
;; Specific unfolds/expansions
(: list-array->array (All (A) (case-> ((Array (Listof A)) -> (Array A))
((Array (Listof A)) Integer -> (Array A)))))
(define (list-array->array arr [k 0])
(define dims (array-dims arr))
(cond [(and (k . >= . 0) (k . <= . dims))
(let ([arr (array-strict (array-map (inst list->vector A) arr))])
;(define dks (remove-duplicates (array->list (array-map vector-length arr))))
(define dk (array-all-min (array-map vector-length arr)))
(unsafe-array-axis-expand arr k dk (inst unsafe-vector-ref A)))]
[else
(raise-argument-error 'list-array->array (format "Index <= ~a" dims) 1 arr k)]))