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Range reduction fix2 #22

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merged 2 commits into from
Mar 14, 2024
Merged

Range reduction fix2 #22

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38f916e
fix, attempt2
AYadrov Mar 13, 2024
d1ffb23
final fix!!
AYadrov Mar 13, 2024
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76 changes: 38 additions & 38 deletions main.rkt
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Original file line number Diff line number Diff line change
Expand Up @@ -537,51 +537,51 @@
(define lo* (+ (bigfloat-exponent xlo) (bigfloat-precision xlo)))
(define hi* (+ (bigfloat-exponent xhi) (bigfloat-precision xhi)))

(if (<= lo* 0) ; if lo* belongs to (-1, 1)
(if (<= hi* 0) ; if hi* belongs to (-1, 1)
; -9223372036854775807 is a code for 0.bf, otherwise -9220000000000000000 and lower is a nan/inf
(if (or (and (< 1073741822 (abs lo*)) (not (equal? -9223372036854775807 lo*)))
(and (< 1073741822 (abs hi*)) (not (equal? -9223372036854775807 hi*))))
'too-wide ; interval includes inf/nan/overflow
'near-0)
(cond
[(equal? period 'pi)
(if (>= hi* 2) ; if hi* belongs to (-inf, -2] U [2, +inf)
'too-wide
'range-reduce)]
[(equal? period '2pi)
(if (>= hi* 4) ; if hi* belongs to (-inf, -8] U [8, +inf)
'too-wide
'range-reduce)]))
(if (<= lo* 1) ; if lo* belongs to (-2, 2)
(cond
[(equal? period 'pi)
(if (>= hi* 4) ; if hi* belongs to (-inf, -8] U [8, +inf)
'too-wide
'range-reduce)]
[(equal? period '2pi)
(if (>= hi* 5) ; if hi* belongs to (-inf, -16] U [16, +inf)
'too-wide
'range-reduce)])
(if (<= lo* 2) ; if lo* belongs to (-4, 4)

(if (or (and (< 1073741822 (abs lo*)) (not (equal? -9223372036854775807 lo*))) ; -9223372036854775807 is a code for 0.bf
(and (< 1073741822 (abs hi*)) (not (equal? -9223372036854775807 hi*)))) ; |lo* or hi*| > 1073741822 is nan/inf/overflow
'too-wide ; overflow/inf/nan
(if (<= lo* 0) ; if lo* belongs to (-1, 1)
(if (<= hi* 0) ; if hi* belongs to (-1, 1)
'near-0
(cond
[(equal? period 'pi)
(if (>= hi* 2) ; if hi* belongs to (-inf, -2] U [2, +inf)
'too-wide
'range-reduce)]
[(equal? period '2pi)
(if (>= hi* 4) ; if hi* belongs to (-inf, -8] U [8, +inf)
'too-wide
'range-reduce)]))
(if (<= lo* 1) ; if lo* belongs to (-2, 2)
(cond
[(equal? period 'pi)
(if (>= hi* 4) ; if hi* belongs to (-inf, -8] U [8, +inf)
(if (>= hi* 4) ; if hi* belongs to (-inf, -8] U [8, +inf)
'too-wide
'range-reduce)]
[(equal? period '2pi)
(if (>= hi* 5) ; if hi* belongs to (-inf, -16] U [16, +inf)
(if (>= hi* 5) ; if hi* belongs to (-inf, -16] U [16, +inf)
'too-wide
'range-reduce)])
(if (>= lo* 3) ; if lo* belongs to (-inf, -4] U [4, +inf)
(if (>= hi* 3) ; if hi* belongs to (-inf, -4] U [4, +inf)
(if (> (abs (- hi* lo*)) 1)
'too-wide
(if (equal? (bigfloat-signbit xlo) (bigfloat-signbit xhi))
'range-reduce
'too-wide))
'range-reduce)
'range-reduce)))))
(if (<= lo* 2) ; if lo* belongs to (-4, 4)
(cond
[(equal? period 'pi)
(if (>= hi* 4) ; if hi* belongs to (-inf, -8] U [8, +inf)
'too-wide
'range-reduce)]
[(equal? period '2pi)
(if (>= hi* 5) ; if hi* belongs to (-inf, -16] U [16, +inf)
'too-wide
'range-reduce)])
(if (>= lo* 3) ; if lo* belongs to (-inf, -4] U [4, +inf)
(if (>= hi* 3) ; if hi* belongs to (-inf, -4] U [4, +inf)
(if (> (abs (- hi* lo*)) 1)
'too-wide
(if (equal? (bigfloat-signbit xlo) (bigfloat-signbit xhi))
'range-reduce
'too-wide))
'range-reduce)
'range-reduce))))))

(define (ival-cos x)
(match-define (ival (endpoint xlo xlo!) (endpoint xhi xhi!) xerr? xerr) x)
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