Added nan?, infinite?, degrees->radians, radians->degrees, exact-round, exact-floor, exact-ceiling, exact-truncate to racket/math
Altered TR's random arithmetic testing to generate single-flonums and very small flonums; fails now because of erroneous types Fixes to sgn, sinh, cosh, and tanh: * preserve single-flonum-ness * correct zero sign (-0.0) for negative return values that are smaller than epsilon * correct behavior with NaN and infinite inputs
This commit is contained in:
Neil Toronto
parent
c089b2fa50
commit
a713ca8a8b
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@ -1132,9 +1132,6 @@ the mask bitmap and the original bitmap are all together in a single bytes!
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(values (abs rotated-width)
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(abs rotated-height)))]))
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(define (degrees->radians θ)
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(* θ 2 pi (/ 360)))
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(define (mode-color->smoothing mode color)
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(cond
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[(and (eq? mode 'outline)
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@ -1,6 +1,7 @@
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#lang racket
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(require racket/contract racket/unsafe/ops unstable/flonum unstable/latent-contract/defthing)
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(require racket/contract racket/unsafe/ops
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unstable/flonum unstable/latent-contract/defthing)
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(provide (all-defined-out))
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@ -13,12 +14,6 @@
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;; ===================================================================================================
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;; Flonums
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(defproc (nan? [x any/c]) boolean?
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(eqv? x +nan.0))
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(defproc (infinite? [x any/c]) boolean?
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(and (flonum? x) (or (unsafe-fl= x +inf.0) (unsafe-fl= x -inf.0))))
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(defproc (flblend [x flonum?] [y flonum?] [α flonum?]) flonum?
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(cond [(not (flonum? x)) (raise-type-error 'flblend "flonum" 0 x y α)]
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[(not (flonum? y)) (raise-type-error 'flblend "flonum" 1 x y α)]
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@ -121,17 +116,6 @@
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(cond [(real? y) (max2* m y)]
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[else (apply raise-type-error 'max* "real number" i x xs)]))])]))
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(define 180/pi (/ 180 pi))
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(define pi/180 (/ pi 180))
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(defproc (degrees->radians [d real?]) real?
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(cond [(not (real? d)) (raise-type-error 'degrees->radians "real number" d)]
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[else (* d pi/180)]))
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(defproc (radians->degrees [r real?]) real?
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(cond [(not (real? r)) (raise-type-error 'radians->degrees "real number" r)]
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[else (* r 180/pi)]))
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(defproc (blend [x real?] [y real?] [α real?]) real?
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(cond [(not (real? x)) (raise-type-error 'blend "real number" 0 x y α)]
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[(not (real? y)) (raise-type-error 'blend "real number" 1 x y α)]
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@ -475,17 +459,21 @@
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(if x (if y (max* x y) x)
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(if y y #f)))
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(define (maybe-real? x)
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(or (real? x) (not x)))
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(struct ivl (min max) #:transparent
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#:guard (λ (a b _)
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(cond [(or (nan? a) (nan? b)) (values +nan.0 +nan.0)]
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[(and a b) (values (min* a b) (max* a b))]
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[else (values a b)])))
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(cond [(or (and a (nan? a)) (and b (nan? b))) (values +nan.0 +nan.0)]
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[(and a b) (values (min* a b) (max* a b))]
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[else (values a b)])))
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(defthing empty-ivl ivl? (ivl +nan.0 +nan.0))
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(defthing unknown-ivl ivl? (ivl #f #f))
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(defproc (ivl-empty? [i ivl?]) boolean?
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(nan? (ivl-min i)))
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(define a (ivl-min i))
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(and a (nan? a)))
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(defproc (ivl-known? [i ivl?]) boolean?
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(match-define (ivl a b) i)
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@ -5,10 +5,10 @@
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(require "../common/math.rkt")
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(provide equal?*
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;; Flonums
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nan? infinite? flblend flsum fldistance (activate-contract-out flonum-ok-for-range?)
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flblend flsum fldistance (activate-contract-out flonum-ok-for-range?)
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;; Reals
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maybe-inexact->exact
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min* max* degrees->radians radians->degrees blend atan2 sum real-modulo distance
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min* max* blend atan2 sum real-modulo distance
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floor-log/base ceiling-log/base
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polar->cartesian 3d-polar->3d-cartesian
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;; Vectors
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@ -238,14 +238,6 @@ Integer brush styles repeat starting at @(racket 7).
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@;----------------------------------------------------------------------------------------------------
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@subsection{Real Functions}
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@doc-apply[degrees->radians]{
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Converts degrees to radians.
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}
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@doc-apply[radians->degrees]{
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Converts radians to degrees.
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}
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@doc-apply[polar->cartesian]{
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Converts 2D polar coordinates to 3D cartesian coordinates.
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}
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@ -255,18 +247,6 @@ Converts 3D polar coordinates to 3D cartesian coordinates.
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See @racket[parametric3d] for an example of use.
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}
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@doc-apply[infinite?]{
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Returns @racket[#t] if @racket[x] is either @racket[+inf.0] or @racket[-inf.0].
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@examples[#:eval plot-eval
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(map infinite? (list +inf.0 -inf.0 0 'bob))]
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}
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@doc-apply[nan?]{
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Returns @racket[#t] if @racket[x] is @racket[+nan.0].
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@examples[#:eval plot-eval
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(map nan? (list +nan.0 +inf.0 0 'bob))]
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}
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@doc-apply[ceiling-log/base]{
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Like @racket[(ceiling (/ (log x) (log b)))], but @racket[ceiling-log/base] is not susceptible to floating-point error.
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@examples[#:eval plot-eval
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@ -4,42 +4,105 @@
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;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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#lang racket/base
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(provide pi
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(require "unsafe/ops.rkt"
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"performance-hint.rkt")
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(provide pi pi.f
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nan? infinite?
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sqr
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sgn conjugate
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sinh cosh tanh
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degrees->radians radians->degrees
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exact-round exact-floor exact-ceiling exact-truncate
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order-of-magnitude)
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(define (sqr z)
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(unless (number? z) (raise-argument-error 'sqr "number?" z))
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(* z z))
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(define pi (atan 0 -1))
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(define pi.f (atan 0.0f0 -1.0f0))
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;; sgn function
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(define (sgn x)
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(unless (real? x) (raise-argument-error 'sgn "real?" x))
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(if (exact? x)
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(cond [(< x 0) -1] [(> x 0) 1] [else 0])
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(cond [(< x 0.0) -1.0] [(> x 0.0) 1.0] [else 0.0])))
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(begin-encourage-inline
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;; complex conjugate
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(define (conjugate z)
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(unless (number? z) (raise-argument-error 'conjugate "number?" z))
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(make-rectangular (real-part z) (- (imag-part z))))
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;; real predicates
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(define (nan? x)
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(unless (real? x) (raise-argument-error 'nan? "real?" x))
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(or (eqv? x +nan.0) (eqv? x +nan.f)))
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;; real hyperbolic functions
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(define (sinh x)
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(unless (number? x) (raise-argument-error 'sinh "number?" x))
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(/ (- (exp x) (exp (- x))) 2.0))
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(define (infinite? x)
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(unless (real? x) (raise-argument-error 'infinite? "real?" x))
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(or (= x +inf.0) (= x -inf.0)))
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(define (cosh x)
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(unless (number? x) (raise-argument-error 'cosh "number?" x))
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(/ (+ (exp x) (exp (- x))) 2.0))
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;; z^2
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(define (sqr z)
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(unless (number? z) (raise-argument-error 'sqr "number?" z))
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(* z z))
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(define (tanh x)
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(unless (number? x) (raise-argument-error 'tanh "number?" x))
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(/ (sinh x) (cosh x)))
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;; sgn function
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(define (sgn x)
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(unless (real? x) (raise-argument-error 'sgn "real?" x))
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(cond [(= 0 x) x] ; preserve 0, 0.0 and 0.0f0
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[(double-flonum? x) (cond [(unsafe-fl> x 0.0) 1.0]
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[(unsafe-fl< x 0.0) -1.0]
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[else +nan.0])]
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[(single-flonum? x) (cond [(> x 0.0f0) 1.0f0]
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[(< x 0.0f0) -1.0f0]
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[else +nan.f])]
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[else (if (> x 0) 1 -1)]))
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;; complex conjugate
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(define (conjugate z)
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(unless (number? z) (raise-argument-error 'conjugate "number?" z))
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(make-rectangular (real-part z) (- (imag-part z))))
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;; complex hyperbolic functions
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(define (sinh z)
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(unless (number? z) (raise-argument-error 'sinh "number?" z))
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(cond [(real? z)
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(let loop ([z z])
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(cond [(z . < . 0) (- (loop (- z)))]
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[else (/ (- (exp z) (exp (- z))) 2)]))]
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[else (/ (- (exp z) (exp (- z))) 2)]))
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(define (cosh z)
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(unless (number? z) (raise-argument-error 'cosh "number?" z))
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(/ (+ (exp z) (exp (- z))) 2))
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(define (tanh z)
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(unless (number? z) (raise-argument-error 'tanh "number?" z))
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(cond [(= z 0) z] ; preserve 0, 0.0, -0.0, 0.0f0, 0.0+0.0i, etc.
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[(real? z)
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(let loop ([z z])
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(cond [(z . < . 0) (- (loop (- z)))]
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[(z . < . 20) (define exp2z (exp (* 2 z)))
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(/ (- exp2z 1) (+ exp2z 1))]
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[(z . >= . 20) (if (single-flonum? z) 1.0f0 1.0)]
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[else z]))] ; +nan.0 or +nan.f
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[else
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(define exp2z (exp (* 2 z)))
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(/ (- exp2z 1) (+ exp2z 1))]))
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;; angle conversion
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(define (degrees->radians x)
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(unless (real? x) (raise-argument-error 'degrees->radians "real?" x))
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(cond [(single-flonum? x) (* x (/ pi.f 180f0))]
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[else (* x (/ pi 180.0))]))
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(define (radians->degrees x)
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(unless (real? x) (raise-argument-error 'radians->degrees "real?" x))
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(cond [(single-flonum? x) (* x (/ 180f0 pi.f))]
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[else (* x (/ 180.0 pi))]))
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;; inexact->exact composed with round, floor, ceiling, truncate
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(define-syntax-rule (define-integer-conversion name convert)
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(define (name x)
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(unless (real? x) (raise-argument-error 'name "real?" x))
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(inexact->exact (convert x))))
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(define-integer-conversion exact-round round)
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(define-integer-conversion exact-floor floor)
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(define-integer-conversion exact-ceiling ceiling)
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(define-integer-conversion exact-truncate truncate)
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) ; begin-encourage-inline
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(define order-of-magnitude
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(let* ([exact-log (λ (x) (inexact->exact (log x)))]
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@ -1,6 +1,426 @@
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(load-relative "loadtest.rktl")
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(Section 'math)
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(require scheme/math)
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(require scheme/math
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racket/flonum
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unstable/flonum)
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(define (double=? x y)
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(and (flonum? y)
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(let ([x (inexact->exact x)]
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[y (inexact->exact y)])
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((abs (- x y)) . < . #e1e-10))))
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(define (single=? x y)
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(and (single-flonum? y)
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(let ([x (inexact->exact x)]
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[y (inexact->exact y)])
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((abs (- x y)) . < . #e1e-6))))
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;; =========================================================================
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;; pi
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(test #t single=? #e3.141592653589793238462643383279502884197169399 pi.f)
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(test #t double=? #e3.141592653589793238462643383279502884197169399 pi)
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(test pi.f real->single-flonum pi)
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;; =========================================================================
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;; nan?
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(test #f nan? -1)
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(test #f nan? 0)
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(test #f nan? 1)
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(test #t nan? +nan.f)
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(test #f nan? -inf.f)
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(test #f nan? -1.0f0)
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(test #f nan? -0.0f0)
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(test #f nan? 0.0f0)
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(test #f nan? 1.0f0)
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(test #f nan? +inf.f)
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(test #t nan? +nan.0)
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(test #f nan? -inf.0)
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(test #f nan? -max.0)
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(test #f nan? -1.0)
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(test #f nan? -min.0)
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(test #f nan? -0.0)
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(test #f nan? 0.0)
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(test #f nan? +min.0)
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(test #f nan? 1.0)
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(test #f nan? +max.0)
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(test #f nan? +inf.0)
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;; =========================================================================
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;; infinite?
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(test #f infinite? -1)
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(test #f infinite? 0)
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(test #f infinite? 1)
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(test #f infinite? +nan.f)
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(test #t infinite? -inf.f)
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(test #f infinite? -1.0f0)
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(test #f infinite? -0.0f0)
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(test #f infinite? 0.0f0)
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(test #f infinite? 1.0f0)
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(test #t infinite? +inf.f)
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(test #f infinite? +nan.0)
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(test #t infinite? -inf.0)
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(test #f infinite? -max.0)
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(test #f infinite? -1.0)
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(test #f infinite? -min.0)
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(test #f infinite? -0.0)
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(test #f infinite? 0.0)
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(test #f infinite? +min.0)
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(test #f infinite? 1.0)
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(test #f infinite? +max.0)
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(test #t infinite? +inf.0)
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;; =========================================================================
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;; sqr
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(test 4 sqr -2)
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(test 1 sqr -1)
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(test 0 sqr 0)
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(test 1 sqr 1)
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(test 4 sqr 2)
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(test +nan.f sqr +nan.f)
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(test +inf.f sqr -inf.f)
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(test 4.0f0 sqr -2.0f0)
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(test 1.0f0 sqr -1.0f0)
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(test 0.0f0 sqr -0.0f0)
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(test 0.0f0 sqr 0.0f0)
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(test 1.0f0 sqr 1.0f0)
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(test 4.0f0 sqr 2.0f0)
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(test +inf.f sqr +inf.f)
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(test +nan.0 sqr +nan.0)
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(test +inf.0 sqr -inf.0)
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(test +inf.0 sqr -max.0)
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(test 4.0 sqr -2.0)
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(test 1.0 sqr -1.0)
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(test 0.0 sqr -min.0)
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(test 0.0 sqr -0.0)
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(test 0.0 sqr 0.0)
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(test 0.0 sqr +min.0)
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(test 1.0 sqr 1.0)
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(test 4.0 sqr 2.0)
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(test +inf.0 sqr +max.0)
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(test +inf.0 sqr +inf.0)
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;; =========================================================================
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;; sgn
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(test -1 sgn -2)
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(test -1 sgn -1)
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(test 0 sgn 0)
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(test 1 sgn 1)
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(test 1 sgn 2)
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(test +nan.f sgn +nan.f)
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(test -1.0f0 sgn -inf.f)
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(test -1.0f0 sgn -1.0f0)
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(test -0.0f0 sgn -0.0f0)
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(test 0.0f0 sgn 0.0f0)
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(test 1.0f0 sgn 1.0f0)
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(test 1.0f0 sgn +inf.f)
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(test +nan.0 sgn +nan.0)
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(test -1.0 sgn -inf.0)
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(test -1.0 sgn -max.0)
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(test -1.0 sgn -1.0)
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(test -1.0 sgn -min.0)
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(test -0.0 sgn -0.0)
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(test 0.0 sgn 0.0)
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(test 1.0 sgn +min.0)
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(test 1.0 sgn 1.0)
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(test 1.0 sgn +max.0)
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(test 1.0 sgn +inf.0)
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;; =========================================================================
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;; sinh
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(define sinh+1 1.1752011936438014568823818505956008151557179813341)
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(define sinh-1 (- sinh+1))
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(test #t double=? sinh-1 (sinh -1))
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(test 0 sinh 0)
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(test #t double=? sinh+1 (sinh 1))
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(test +nan.f sinh +nan.f)
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(test -inf.f sinh -inf.f)
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(test #t single=? sinh-1 (sinh -1.0f0))
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(test 0.0f0 sinh 0.0f0)
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(test #t single=? sinh+1 (sinh 1.0f0))
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(test +inf.f sinh +inf.f)
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(test +nan.0 sinh +nan.0)
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(test -inf.0 sinh -inf.0)
|
||||
(test -inf.0 sinh -max.0)
|
||||
(test #t double=? sinh-1 (sinh -1.0))
|
||||
(test -0.0 sinh -min.0)
|
||||
(test -0.0 sinh -0.0)
|
||||
(test 0.0 sinh 0.0)
|
||||
(test 0.0 sinh +min.0)
|
||||
(test #t double=? sinh+1 (sinh 1.0))
|
||||
(test +inf.0 sinh +max.0)
|
||||
(test +inf.0 sinh +inf.0)
|
||||
|
||||
;; =========================================================================
|
||||
;; cosh
|
||||
|
||||
(define cosh+1 #e1.5430806348152437784779056207570616826015291123659)
|
||||
|
||||
(test #t double=? cosh+1 (cosh -1))
|
||||
(test 1 cosh 0)
|
||||
(test #t double=? cosh+1 (cosh 1))
|
||||
|
||||
(test +nan.f cosh +nan.f)
|
||||
(test +inf.f cosh -inf.f)
|
||||
(test #t single=? cosh+1 (cosh -1.0f0))
|
||||
(test 1.0f0 cosh -0.0f0)
|
||||
(test 1.0f0 cosh 0.0f0)
|
||||
(test #t single=? cosh+1 (cosh 1.0f0))
|
||||
(test +inf.f cosh +inf.f)
|
||||
|
||||
(test +nan.0 cosh +nan.0)
|
||||
(test +inf.0 cosh -inf.0)
|
||||
(test +inf.0 cosh -max.0)
|
||||
(test #t double=? cosh+1 (cosh -1.0))
|
||||
(test 1.0 cosh -min.0)
|
||||
(test 1.0 cosh -0.0)
|
||||
(test 1.0 cosh 0.0)
|
||||
(test 1.0 cosh +min.0)
|
||||
(test #t double=? cosh+1 (cosh 1.0))
|
||||
(test +inf.0 cosh +max.0)
|
||||
(test +inf.0 cosh +inf.0)
|
||||
|
||||
;; =========================================================================
|
||||
;; tanh
|
||||
|
||||
(define tanh+1 #e0.76159415595576488811945828260479359041276859725794)
|
||||
(define tanh-1 (- tanh+1))
|
||||
|
||||
(test -1.0 tanh -20)
|
||||
(test #t double=? tanh-1 (tanh -1))
|
||||
(test 0 tanh 0)
|
||||
(test #t double=? tanh+1 (tanh 1))
|
||||
(test 1.0 tanh 20)
|
||||
|
||||
(test +nan.f tanh +nan.f)
|
||||
(test -1.0f0 tanh -inf.f)
|
||||
(test -1.0f0 tanh -20.0f0)
|
||||
(test #t single=? tanh-1 (tanh -1.0f0))
|
||||
(test -0.0f0 tanh -0.0f0)
|
||||
(test 0.0f0 tanh 0.0f0)
|
||||
(test #t single=? tanh+1 (tanh 1.0f0))
|
||||
(test 1.0f0 tanh 20.0f0)
|
||||
(test 1.0f0 tanh +inf.f)
|
||||
|
||||
(test +nan.0 tanh +nan.0)
|
||||
(test -1.0 tanh -inf.0)
|
||||
(test -1.0 tanh -max.0)
|
||||
(test -1.0 tanh -20.0)
|
||||
(test #t double=? tanh-1 (tanh -1.0))
|
||||
(test -0.0 tanh -min.0)
|
||||
(test -0.0 tanh -0.0)
|
||||
(test 0.0 tanh 0.0)
|
||||
(test 0.0 tanh +min.0)
|
||||
(test #t double=? tanh+1 (tanh 1.0))
|
||||
(test 1.0 tanh 20.0)
|
||||
(test 1.0 tanh +max.0)
|
||||
(test 1.0 tanh +inf.0)
|
||||
|
||||
;; =========================================================================
|
||||
;; degrees->radians
|
||||
|
||||
(test #t double=? (- pi) (degrees->radians -180))
|
||||
(test #t double=? (* -1/2 pi) (degrees->radians -90))
|
||||
(test 0 degrees->radians 0)
|
||||
(test #t double=? (* 1/2 pi) (degrees->radians 90))
|
||||
(test #t double=? pi (degrees->radians 180))
|
||||
|
||||
(test +nan.f degrees->radians +nan.f)
|
||||
(test -inf.f degrees->radians -inf.f)
|
||||
(test #t single=? (- pi) (degrees->radians -180.0f0))
|
||||
(test #t single=? (* -1/2 pi) (degrees->radians -90.0f0))
|
||||
(test -0.0f0 degrees->radians -0.0f0)
|
||||
(test 0.0f0 degrees->radians 0.0f0)
|
||||
(test #t single=? (* 1/2 pi) (degrees->radians 90.0f0))
|
||||
(test #t single=? pi (degrees->radians 180.0f0))
|
||||
(test +inf.f degrees->radians +inf.f)
|
||||
|
||||
(test +nan.0 degrees->radians +nan.0)
|
||||
(test -inf.0 degrees->radians -inf.0)
|
||||
(test #t double=? (- pi) (degrees->radians -180.0))
|
||||
(test #t double=? (* -1/2 pi) (degrees->radians -90.0))
|
||||
(test -0.0 degrees->radians -min.0)
|
||||
(test -0.0 degrees->radians -0.0)
|
||||
(test 0.0 degrees->radians 0.0)
|
||||
(test 0.0 degrees->radians +min.0)
|
||||
(test #t double=? (* 1/2 pi) (degrees->radians 90.0))
|
||||
(test #t double=? pi (degrees->radians 180.0))
|
||||
(test +inf.0 degrees->radians +inf.0)
|
||||
|
||||
;; =========================================================================
|
||||
;; radians->degrees
|
||||
|
||||
(test 0 radians->degrees 0)
|
||||
|
||||
(test +nan.f radians->degrees +nan.f)
|
||||
(test -inf.f radians->degrees -inf.f)
|
||||
(test #t single=? -180 (radians->degrees (- pi.f)))
|
||||
(test #t single=? -90 (radians->degrees (* -1/2 pi.f)))
|
||||
(test -0.0f0 radians->degrees -0.0f0)
|
||||
(test 0.0f0 radians->degrees 0.0f0)
|
||||
(test #t single=? 90 (radians->degrees (* 1/2 pi.f)))
|
||||
(test #t single=? 180 (radians->degrees pi.f))
|
||||
(test +inf.f radians->degrees +inf.f)
|
||||
|
||||
(test +nan.0 radians->degrees +nan.0)
|
||||
(test -inf.0 radians->degrees -inf.0)
|
||||
(test -inf.0 radians->degrees -max.0)
|
||||
(test #t double=? -180 (radians->degrees (- pi)))
|
||||
(test #t double=? -90 (radians->degrees (* -1/2 pi)))
|
||||
(test -0.0 radians->degrees -0.0)
|
||||
(test 0.0 radians->degrees 0.0)
|
||||
(test #t double=? 90 (radians->degrees (* 1/2 pi)))
|
||||
(test #t double=? 180 (radians->degrees pi))
|
||||
(test +inf.0 radians->degrees +max.0)
|
||||
(test +inf.0 radians->degrees +inf.0)
|
||||
|
||||
;; =========================================================================
|
||||
;; exact-round
|
||||
|
||||
(test -2 exact-round #e-1.5)
|
||||
(test 0 exact-round #e-0.5)
|
||||
(test 0 exact-round #e0.5)
|
||||
(test 2 exact-round #e1.5)
|
||||
|
||||
(err/rt-test (exact-round +nan.f))
|
||||
(err/rt-test (exact-round -inf.f))
|
||||
(test -2 exact-round -1.5f0)
|
||||
(test 0 exact-round -0.5f0)
|
||||
(test 0 exact-round 0.5f0)
|
||||
(test 2 exact-round 1.5f0)
|
||||
(err/rt-test (exact-round +inf.f))
|
||||
|
||||
(err/rt-test (exact-round +nan.0))
|
||||
(err/rt-test (exact-round -inf.0))
|
||||
(test (inexact->exact -max.0) exact-round -max.0)
|
||||
(test -2 exact-round -1.5)
|
||||
(test 0 exact-round -0.5)
|
||||
(test 0 exact-round -min.0)
|
||||
(test 0 exact-round +min.0)
|
||||
(test 0 exact-round 0.5)
|
||||
(test 2 exact-round 1.5)
|
||||
(test (inexact->exact +max.0) exact-round +max.0)
|
||||
(err/rt-test (exact-round +inf.0))
|
||||
|
||||
;; =========================================================================
|
||||
;; exact-floor
|
||||
|
||||
(test -2 exact-floor #e-1.5)
|
||||
(test -1 exact-floor #e-0.5)
|
||||
(test 0 exact-floor #e0.5)
|
||||
(test 1 exact-floor #e1.5)
|
||||
|
||||
(err/rt-test (exact-floor +nan.f))
|
||||
(err/rt-test (exact-floor -inf.f))
|
||||
(test -2 exact-floor -1.5f0)
|
||||
(test -1 exact-floor -0.5f0)
|
||||
(test 0 exact-floor 0.5f0)
|
||||
(test 1 exact-floor 1.5f0)
|
||||
(err/rt-test (exact-floor +inf.f))
|
||||
|
||||
(err/rt-test (exact-floor +nan.0))
|
||||
(err/rt-test (exact-floor -inf.0))
|
||||
(test (inexact->exact -max.0) exact-floor -max.0)
|
||||
(test -2 exact-floor -1.5)
|
||||
(test -1 exact-floor -0.5)
|
||||
(test -1 exact-floor -min.0)
|
||||
(test 0 exact-floor +min.0)
|
||||
(test 0 exact-floor 0.5)
|
||||
(test 1 exact-floor 1.5)
|
||||
(test (inexact->exact +max.0) exact-floor +max.0)
|
||||
(err/rt-test (exact-floor +inf.0))
|
||||
|
||||
;; =========================================================================
|
||||
;; exact-ceiling
|
||||
|
||||
(test -1 exact-ceiling #e-1.5)
|
||||
(test 0 exact-ceiling #e-0.5)
|
||||
(test 1 exact-ceiling #e0.5)
|
||||
(test 2 exact-ceiling #e1.5)
|
||||
|
||||
(err/rt-test (exact-ceiling +nan.f))
|
||||
(err/rt-test (exact-ceiling -inf.f))
|
||||
(test -1 exact-ceiling -1.5f0)
|
||||
(test 0 exact-ceiling -0.5f0)
|
||||
(test 1 exact-ceiling 0.5f0)
|
||||
(test 2 exact-ceiling 1.5f0)
|
||||
(err/rt-test (exact-ceiling +inf.f))
|
||||
|
||||
(err/rt-test (exact-ceiling +nan.0))
|
||||
(err/rt-test (exact-ceiling -inf.0))
|
||||
(test (inexact->exact -max.0) exact-ceiling -max.0)
|
||||
(test -1 exact-ceiling -1.5)
|
||||
(test 0 exact-ceiling -0.5)
|
||||
(test 0 exact-ceiling -min.0)
|
||||
(test 1 exact-ceiling +min.0)
|
||||
(test 1 exact-ceiling 0.5)
|
||||
(test 2 exact-ceiling 1.5)
|
||||
(test (inexact->exact +max.0) exact-ceiling +max.0)
|
||||
(err/rt-test (exact-ceiling +inf.0))
|
||||
|
||||
;; =========================================================================
|
||||
;; exact-truncate
|
||||
|
||||
(test -1 exact-truncate #e-1.5)
|
||||
(test 0 exact-truncate #e-0.5)
|
||||
(test 0 exact-truncate #e0.5)
|
||||
(test 1 exact-truncate #e1.5)
|
||||
|
||||
(err/rt-test (exact-truncate +nan.f))
|
||||
(err/rt-test (exact-truncate -inf.f))
|
||||
(test -1 exact-truncate -1.5f0)
|
||||
(test 0 exact-truncate -0.5f0)
|
||||
(test 0 exact-truncate 0.5f0)
|
||||
(test 1 exact-truncate 1.5f0)
|
||||
(err/rt-test (exact-truncate +inf.f))
|
||||
|
||||
(err/rt-test (exact-truncate +nan.0))
|
||||
(err/rt-test (exact-truncate -inf.0))
|
||||
(test (inexact->exact -max.0) exact-truncate -max.0)
|
||||
(test -1 exact-truncate -1.5)
|
||||
(test 0 exact-truncate -0.5)
|
||||
(test 0 exact-truncate -min.0)
|
||||
(test 0 exact-truncate +min.0)
|
||||
(test 0 exact-truncate 0.5)
|
||||
(test 1 exact-truncate 1.5)
|
||||
(test (inexact->exact +max.0) exact-truncate +max.0)
|
||||
(err/rt-test (exact-truncate +inf.0))
|
||||
|
||||
;; =========================================================================
|
||||
;; comparison with conversion to exact BEFORE integer conversion, in the
|
||||
;; range near where floating-point numbers become integer-only
|
||||
|
||||
(define (test-integer-conversion convert exact-convert)
|
||||
(for* ([y '(-0.75 -0.5 -0.25 0.0 0.25 0.5 0.75)]
|
||||
[e (in-range 50 54)]
|
||||
[i (in-range -1 2)])
|
||||
(define x (+ y (ordinal->flonum (+ i (flonum->ordinal (expt 2.0 e))))))
|
||||
(test (convert (inexact->exact x)) exact-convert x)))
|
||||
|
||||
(test-integer-conversion round exact-round)
|
||||
(test-integer-conversion floor exact-floor)
|
||||
(test-integer-conversion ceiling exact-ceiling)
|
||||
(test-integer-conversion truncate exact-truncate)
|
||||
|
||||
;; =========================================================================
|
||||
;; order-of-magnitude
|
||||
|
||||
(test 0 order-of-magnitude 1)
|
||||
(test 0 order-of-magnitude 9)
|
||||
|
|
@ -16,14 +436,3 @@
|
|||
(test 4 order-of-magnitude 10000)
|
||||
(test -2 order-of-magnitude 1/100)
|
||||
(test -3 order-of-magnitude 1/101)
|
||||
|
||||
(test 25 sqr 5)
|
||||
(test 25 sqr -5)
|
||||
|
||||
(test #t <= (abs (sin pi)) 0.0001)
|
||||
|
||||
(test 1 sgn 1)
|
||||
(test -1 sgn -1)
|
||||
(test 0 sgn 0)
|
||||
(test 1 sgn 999)
|
||||
(test -1 sgn -999)
|
||||
|
|
|
|||
|
|
@ -3,7 +3,7 @@
|
|||
;; Random testing of type preservation for floats.
|
||||
|
||||
(require redex
|
||||
racket/flonum racket/unsafe/ops
|
||||
racket/flonum racket/unsafe/ops unstable/flonum
|
||||
racket/sandbox)
|
||||
|
||||
(require (except-in typed-racket/utils/utils infer)
|
||||
|
|
@ -18,6 +18,8 @@
|
|||
(b:init) (n:init)
|
||||
(define-namespace-anchor anch)
|
||||
|
||||
todo: exact numbers
|
||||
|
||||
(define-language tr-arith ; to stay within floats, removed some numeric ops
|
||||
[n real]
|
||||
[E n
|
||||
|
|
@ -99,10 +101,33 @@
|
|||
(define subtype? (subtype type-after type-before))
|
||||
subtype?)
|
||||
|
||||
(define (random-integer->random-float E)
|
||||
(define r (random))
|
||||
(cond
|
||||
;; probability 1/4: noisify and convert to single flonum
|
||||
[(r . < . 0.25)
|
||||
(real->single-flonum (* (random) E))]
|
||||
;; probability 1/4: noisify and convert to double flonum
|
||||
[(r . < . 0.5)
|
||||
(real->double-flonum (* (random) E))]
|
||||
;; probability 1/4: convert to very small double flonum
|
||||
[(r . < . 0.75)
|
||||
(define x (ordinal->flonum E))
|
||||
(cond [(= x 0.0) (if ((random) . < . 0.5) 0.0 -0.0)]
|
||||
[else x])]
|
||||
;; probability 1/20: +nan.0
|
||||
[(r . < . 0.8)
|
||||
+nan.0]
|
||||
;; remaining probability: convert to very large double flonum
|
||||
[else
|
||||
(if ((random) . < . 0.5)
|
||||
(flstep -inf.0 E)
|
||||
(flstep +inf.0 (- E)))]))
|
||||
|
||||
;; Redex can't generate floats, so we convert ints to floats.
|
||||
(define (exp->float-exp E) ; numbers or symbols or lists
|
||||
(cond [(number? E)
|
||||
(exact->inexact (* (random) E))] ; add noise
|
||||
(random-integer->random-float E)]
|
||||
[(list? E)
|
||||
(map exp->float-exp E)]
|
||||
[else
|
||||
|
|
|
|||
|
|
@ -1808,7 +1808,8 @@
|
|||
(-NegRat . -> . -NegFixnum) ; -1
|
||||
(-NonPosRat . -> . -NonPosFixnum) ; 0 or -1
|
||||
(-Rat . -> . -Fixnum)
|
||||
(-InexactReal . -> . -Flonum) ; single-flonums give a flonum result
|
||||
(-Flonum . -> . -Flonum)
|
||||
(-SingleFlonum . -> . -SingleFlonum)
|
||||
(-Real . -> . -Real))]
|
||||
|
||||
[pi -PosFlonum]
|
||||
|
|
|
|||
Loading…
Reference in New Issue
Block a user