racket/collects/plot/common/utils.rkt
Neil Toronto 75f76986c3 Plots with intervals too small or too large for flonums (2D and 3D)
Bounds fixpoint computation now uses only exact rationals
Speed improvements (3d-plot-area% now uses flonums internally as much as possible)
2011-11-14 22:01:07 -08:00

88 lines
3.1 KiB
Racket

#lang racket/base
;; Extra functions that can't be easily categorized
(require racket/sequence racket/list racket/math racket/flonum racket/match)
(provide (all-defined-out))
(define (sequence-take seq start end)
(for/list ([e (sequence-tail seq start)]
[_ (in-range (- end start))])
e))
(define (list-index v lst [equal? equal?])
(for/first ([e (in-list lst)] [i (in-naturals)] #:when (equal? e v))
i))
(define (list-duplicate-index lst)
(let loop ([lst lst] [j 0])
(cond [(empty? lst) #f]
[else
(define fst (first lst))
(define idx
(for/first ([e (in-list (rest lst))] [i (in-naturals)] #:when (equal? e fst))
(+ i j 1)))
(if idx idx (loop (rest lst) (+ j 1)))])))
(define (cumulative-sum xs)
(reverse (foldl (λ (x xs) (cons (+ x (first xs)) xs)) '(0) xs)))
(define (assoc-cons hash key new-value)
(let loop ([hash hash])
(cond [(empty? hash) (list (cons key (list new-value)))]
[else
(define entry (first hash))
(cond [(equal? (car entry) key) (cons (cons key (cons new-value (cdr entry)))
(rest hash))]
[else (cons (first hash) (loop (rest hash)))])])))
(define (vector-find-index pred? xs [start 0] [end (vector-length xs)])
(for/first ([i (in-range start end)] #:when (pred? (vector-ref xs i)))
i))
(define ((sorted-apply sort f) lst)
(define h
(let ([sorted-lst (sort lst)])
(make-hash (map cons sorted-lst (f sorted-lst)))))
(map (λ (e) (hash-ref h e)) lst))
(define (transpose xss)
(cond [(andmap empty? xss) empty]
[else (cons (map (λ (xs) (if (empty? xs) #f (first xs))) xss)
(transpose (map (λ (xs) (if (empty? xs) empty (rest xs))) xss)))]))
(define (group-neighbors lst equiv?)
(reverse
(map reverse
(cond
[(empty? lst) empty]
[else
(for/fold ([res (list (list (first lst)))]) ([e (in-list (rest lst))])
(cond
[(andmap (λ (e2) (equiv? e e2)) (first res)) (cons (cons e (first res)) (rest res))]
[else (list* (list e) res)]))]))))
(define (bin-samples bin-bounds xs)
(let* ([bin-bounds (filter (λ (x) (not (eqv? x +nan.0))) (remove-duplicates bin-bounds))]
[bin-bounds (sort bin-bounds <)]
[x-min (first bin-bounds)]
[x-max (last bin-bounds)]
[xs (filter (λ (x) (<= x-min x x-max)) xs)]
[xs (sort xs <)])
(define-values (res rest-xs)
(for/fold ([res empty] [xs xs]) ([x1 (in-list bin-bounds)]
[x2 (in-list (rest bin-bounds))])
(define-values (lst rest-xs)
(let loop ([lst empty] [xs xs])
(if (and (not (empty? xs)) (<= x1 (first xs) x2))
(loop (cons (first xs) lst) (rest xs))
(values lst xs))))
(values (cons (reverse lst) res)
rest-xs)))
(reverse res)))
(define-syntax-rule (let-map (id ...) fun body0 body ...)
(let ([id (fun id)] ...)
body0 body ...))