838 lines
26 KiB
Scheme
838 lines
26 KiB
Scheme
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(library (ikarus flonums)
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(export string->flonum flonum->string)
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(import
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(except (ikarus) flonum->string string->flonum))
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(define (flonum->string x)
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(or (foreign-call "ikrt_flonum_to_string" x)
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(error 'flonum->string "~s is not a flonum" x)))
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(define (string->flonum x)
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(cond
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[(string? x) (foreign-call "ikrt_string_to_flonum" x)]
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[else
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(error 'string->flonum "~s is not a string" x)])))
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(library (ikarus generic-arithmetic)
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(export + - * = < <= > >= add1 sub1 quotient remainder
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quotient+remainder number->string string->number)
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(import
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(ikarus system $fx)
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(ikarus system $chars)
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(ikarus system $strings)
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(except (ikarus) + - * = < <= > >= add1 sub1 quotient remainder
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quotient+remainder number->string string->number))
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(define (fixnum->flonum x)
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(foreign-call "ikrt_fixnum_to_flonum" x))
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(define (bignum->flonum x)
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(foreign-call "ikrt_bignum_to_flonum" x))
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(define ($fl+ x y)
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(foreign-call "ikrt_fl_plus" x y))
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(define ($fl- x y)
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(foreign-call "ikrt_fl_minus" x y))
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(define ($fl* x y)
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(foreign-call "ikrt_fl_times" x y))
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(define binary+
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(lambda (x y)
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(cond
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[(fixnum? x)
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(cond
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[(fixnum? y)
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(foreign-call "ikrt_fxfxplus" x y)]
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[(bignum? y)
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(foreign-call "ikrt_fxbnplus" x y)]
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[(flonum? y)
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($fl+ (fixnum->flonum x) y)]
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[else
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(error '+ "~s is not a number" y)])]
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[(bignum? x)
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(cond
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[(fixnum? y)
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(foreign-call "ikrt_fxbnplus" y x)]
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[(bignum? y)
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(foreign-call "ikrt_bnbnplus" x y)]
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[(flonum? y)
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($fl+ (bignum->flonum x) y)]
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[else
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(error '+ "~s is not a number" y)])]
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[(flonum? x)
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(cond
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[(fixnum? y)
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($fl+ x (fixnum->flonum y))]
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[(bignum? y)
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($fl+ x (bignum->flonum y))]
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[(flonum? y)
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($fl+ x y)]
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[else
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(error '+ "~s is not a number" y)])]
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[else (error '+ "~s is not a number" x)])))
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(define binary-logand
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(lambda (x y)
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(cond
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[(fixnum? x)
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(cond
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[(fixnum? y) ($fxlogand x y)]
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[(bignum? y)
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(foreign-call "ikrt_fxbnlogand" x y)]
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[else
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(error 'logand "~s is not a number" y)])]
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[(bignum? x)
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(cond
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[(fixnum? y)
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(foreign-call "ikrt_fxbnlogand" y x)]
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[(bignum? y)
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(foreign-call "ikrt_bnbnlogand" x y)]
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[else
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(error 'logand "~s is not a number" y)])]
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[else (error 'logand "~s is not a number" x)])))
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(define binary-
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(lambda (x y)
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(cond
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[(fixnum? x)
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(cond
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[(fixnum? y)
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(foreign-call "ikrt_fxfxminus" x y)]
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[(bignum? y)
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(foreign-call "ikrt_fxbnminus" x y)]
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[(flonum? y)
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($fl- (fixnum->flonum x) y)]
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[else
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(error '- "~s is not a number" y)])]
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[(bignum? x)
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(cond
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[(fixnum? y)
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(foreign-call "ikrt_bnfxminus" x y)]
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[(bignum? y)
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(foreign-call "ikrt_bnbnminus" x y)]
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[(flonum? y)
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($fl- (bignum->flonum x) y)]
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[else
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(error '- "~s is not a number" y)])]
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[(flonum? x)
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(cond
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[(fixnum? y)
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($fl- x (fixnum->flonum y))]
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[(bignum? y)
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($fl- x (bignum->flonum y))]
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[(flonum? y)
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($fl- x y)]
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[else
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(error '- "~s is not a number" y)])]
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[else (error '- "~s is not a number" x)])))
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(define binary*
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(lambda (x y)
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(cond
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[(fixnum? x)
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(cond
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[(fixnum? y)
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(foreign-call "ikrt_fxfxmult" x y)]
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[(bignum? y)
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(foreign-call "ikrt_fxbnmult" x y)]
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[(flonum? y)
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($fl* (fixnum->flonum x) y)]
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[else
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(error '* "~s is not a number" y)])]
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[(bignum? x)
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(cond
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[(fixnum? y)
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(foreign-call "ikrt_fxbnmult" y x)]
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[(bignum? y)
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(foreign-call "ikrt_bnbnmult" x y)]
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[(flonum? y)
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($fl* (bignum->flonum x) y)]
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[else
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(error '* "~s is not a number" y)])]
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[(flonum? x)
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(cond
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[(fixnum? y)
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($fl* x (fixnum->flonum y))]
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[(bignum? y)
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($fl* x (bignum->flonum y))]
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[(flonum? y)
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($fl* x y)]
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[else
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(error '* "~s is not a number" y)])]
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[else (error '* "~s is not a number" x)])))
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(define +
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(case-lambda
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[(x y) (binary+ x y)]
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[(x y z) (binary+ (binary+ x y) z)]
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[(a)
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(cond
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[(fixnum? a) a]
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[(bignum? a) a]
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[else (error '+ "~s is not a number" a)])]
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[() 0]
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[(a b c d . e*)
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(let f ([ac (binary+ (binary+ (binary+ a b) c) d)]
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[e* e*])
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(cond
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[(null? e*) ac]
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[else (f (binary+ ac (car e*)) (cdr e*))]))]))
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(define logand
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(case-lambda
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[(x y) (binary-logand x y)]
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[(x y z) (binary-logand (binary-logand x y) z)]
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[(a)
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(cond
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[(fixnum? a) a]
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[(bignum? a) a]
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[else (error 'logand "~s is not a number" a)])]
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[() -1]
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[(a b c d . e*)
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(let f ([ac (binary-logand (binary-logand (binary-logand a b) c) d)]
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[e* e*])
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(cond
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[(null? e*) ac]
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[else (f (binary-logand ac (car e*)) (cdr e*))]))]))
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(define -
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(case-lambda
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[(x y) (binary- x y)]
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[(x y z) (binary- (binary- x y) z)]
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[(a) (binary- 0 a)]
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[(a b c d . e*)
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(let f ([ac (binary- (binary- (binary- a b) c) d)]
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[e* e*])
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(cond
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[(null? e*) ac]
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[else (f (binary- ac (car e*)) (cdr e*))]))]))
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(define *
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(case-lambda
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[(x y) (binary* x y)]
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[(x y z) (binary* (binary* x y) z)]
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[(a)
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(cond
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[(fixnum? a) a]
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[(bignum? a) a]
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[else (error '* "~s is not a number" a)])]
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[() 1]
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[(a b c d . e*)
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(let f ([ac (binary* (binary* (binary* a b) c) d)]
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[e* e*])
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(cond
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[(null? e*) ac]
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[else (f (binary* ac (car e*)) (cdr e*))]))]))
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(define binary/
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(lambda (x y)
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(cond
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[(flonum? x)
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(cond
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[(flonum? y)
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(foreign-call "ikrt_fl_div" x y)]
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[(fixnum? y)
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(foreign-call "ikrt_fl_div" x (fixnum->flonum y))]
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[else (error '/ "unspported ~s ~s" x y)])]
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[(fixnum? x)
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(cond
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[(flonum? y)
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(foreign-call "ikrt_fl_div" (fixnum->flonum x) y)]
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[(fixnum? y)
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(let ([q (fxquotient x y)]
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[r (fxremainder x y)])
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(if (fxzero? r)
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q
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(error '/ "no ratnum for ~s/~s" x y)))]
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[else (error '/ "unsupported ~s ~s" x y)])]
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[else (error '/ "unsupported ~s ~s" x y)])))
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(define /
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(case-lambda
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[(x y) (binary/ x y)]
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[(x)
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(cond
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[(flonum? x) (foreign-call "ikrt_fl_invert" x)]
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[else (error '/ "unspported argument ~s" x)])]
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[(x y z . rest)
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(let f ([a (binary/ x y)] [b z] [ls rest])
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(cond
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[(null? rest) (binary/ a b)]
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[else (f (binary/ a b) (car ls) (cdr ls))]))]))
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(define max
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(case-lambda
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[(x y)
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(cond
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[(fixnum? x)
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(cond
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[(fixnum? y)
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(if ($fx> x y) x y)]
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[(bignum? y)
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(if (positive-bignum? y) y x)]
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[else (error 'max "~s is not a number" y)])]
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[(bignum? x)
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(cond
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[(fixnum? y)
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(if (positive-bignum? x) x y)]
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[(bignum? y)
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(if (bnbn> x y) x y)]
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[else (error 'max "~s is not a number" y)])]
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[else (error 'max "~s is not a number" x)])]
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[(x y z . rest)
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(let f ([a (max x y)] [b z] [ls rest])
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(cond
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[(null? ls) (max a b)]
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[else
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(f (max a b) (car ls) (cdr ls))]))]
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[(x)
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(if (number? x)
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x
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(error 'max "~s is not a number" x))]))
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(define min
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(case-lambda
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[(x y)
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(cond
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[(fixnum? x)
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(cond
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[(fixnum? y)
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(if ($fx> x y) y x)]
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[(bignum? y)
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(if (positive-bignum? y) x y)]
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[else (error 'min "~s is not a number" y)])]
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[(bignum? x)
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(cond
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[(fixnum? y)
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(if (positive-bignum? x) y x)]
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[(bignum? y)
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(if (bnbn> x y) y x)]
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[else (error 'min "~s is not a number" y)])]
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[else (error 'min "~s is not a number" x)])]
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[(x y z . rest)
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(let f ([a (min x y)] [b z] [ls rest])
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(cond
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[(null? ls) (min a b)]
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[else
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(f (min a b) (car ls) (cdr ls))]))]
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[(x)
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(if (number? x)
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x
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(error 'min "~s is not a number" x))]))
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(define exact->inexact
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(lambda (x)
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(cond
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[(fixnum? x) (fixnum->flonum x)]
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[(bignum? x) (bignum->flonum x)]
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[else
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(error 'exact->inexact
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"~s is not an exact number" x)])))
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(define inexact?
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(lambda (x)
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(cond
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[(fixnum? x) #f]
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[(bignum? x) #f]
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[(flonum? x) #t]
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[else
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(error 'inexact? "~s is not a number" x)])))
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(define positive-bignum?
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(lambda (x)
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(foreign-call "ikrt_positive_bn" x)))
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(define even-bignum?
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(lambda (x)
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(foreign-call "ikrt_even_bn" x)))
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(define ($fxeven? x)
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($fxzero? ($fxlogand x 1)))
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(define (even? x)
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(cond
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[(fixnum? x) ($fxeven? x)]
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[(bignum? x) (even-bignum? x)]
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[else (error 'even? "~s is not an integer" x)]))
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(define (odd? x)
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(not
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(cond
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[(fixnum? x) ($fxeven? x)]
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[(bignum? x) (even-bignum? x)]
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[else (error 'odd? "~s is not an integer" x)])))
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(define number->string
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(lambda (x)
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(cond
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[(fixnum? x) (fixnum->string x)]
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[(bignum? x) (foreign-call "ikrt_bntostring" x)]
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[(flonum? x) (foreign-call "ikrt_flonum_to_string" x)]
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[else (error 'number->string "~s is not a number" x)])))
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(define modulo
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(lambda (n m)
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(cond
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[(fixnum? n)
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(cond
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[(fixnum? m) ($fxmodulo n m)]
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[else (error 'modulo "unsupported ~s" m)])]
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[else (error 'modulo "unsupported ~s" n)])))
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(define-syntax mk<
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(syntax-rules ()
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[(_ name fxfx< fxbn< bnfx< bnbn<
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fxfl< flfx< bnfl< flbn< flfl<)
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(let ()
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(define err
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(lambda (x) (error 'name "~s is not a number" x)))
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(define fxloopt
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(lambda (x y ls)
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(cond
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[(fixnum? y)
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(if (null? ls)
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(fxfx< x y)
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(if (fxfx< x y)
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(fxloopt y (car ls) (cdr ls))
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(loopf (car ls) (cdr ls))))]
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[(bignum? y)
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(if (null? ls)
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(fxbn< x y)
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(if (fxbn< x y)
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(bnloopt y (car ls) (cdr ls))
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(loopf (car ls) (cdr ls))))]
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[(flonum? y)
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(if (null? ls)
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(fxfl< x y)
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(if (fxfl< x y)
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(flloopt y (car ls) (cdr ls))
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(loopf (car ls) (cdr ls))))]
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[else (err y)])))
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(define bnloopt
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(lambda (x y ls)
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(cond
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[(fixnum? y)
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(if (null? ls)
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(bnfx< x y)
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(if (bnfx< x y)
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(fxloopt y (car ls) (cdr ls))
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(loopf (car ls) (cdr ls))))]
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[(bignum? y)
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(if (null? ls)
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(bnbn< x y)
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(if (bnbn< x y)
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(bnloopt y (car ls) (cdr ls))
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(loopf (car ls) (cdr ls))))]
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[(flonum? y)
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(if (null? ls)
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(bnfl< x y)
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(if (bnfl< x y)
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(flloopt y (car ls) (cdr ls))
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(loopf (car ls) (cdr ls))))]
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[else (err y)])))
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(define flloopt
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(lambda (x y ls)
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(cond
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[(fixnum? y)
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(if (null? ls)
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(flfx< x y)
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(if (flfx< x y)
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(fxloopt y (car ls) (cdr ls))
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(loopf (car ls) (cdr ls))))]
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[(bignum? y)
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(if (null? ls)
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(flbn< x y)
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(if (flbn< x y)
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(bnloopt y (car ls) (cdr ls))
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(loopf (car ls) (cdr ls))))]
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[(flonum? y)
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(if (null? ls)
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(flfl< x y)
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(if (flfl< x y)
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(flloopt y (car ls) (cdr ls))
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(loopf (car ls) (cdr ls))))]
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[else (err y)])))
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(define loopf
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(lambda (x ls)
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(cond
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[(number? x)
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(or (null? ls) (loopf (car ls) (cdr ls)))]
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[else (err x)])))
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(case-lambda
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[(x y)
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(cond
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[(fixnum? x)
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(cond
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[(fixnum? y) (fxfx< x y)]
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[(bignum? y) (fxbn< x y)]
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[(flonum? y) (fxfl< x y)]
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[else (err y)])]
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[(bignum? x)
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(cond
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[(fixnum? y) (bnfx< x y)]
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[(bignum? y) (bnbn< x y)]
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[(flonum? y) (bnfl< x y)]
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[else (err y)])]
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[(flonum? x)
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(cond
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[(fixnum? y) (flfx< x y)]
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[(bignum? y) (flbn< x y)]
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[(flonum? y) (flfl< x y)]
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[else (err y)])]
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[else (err x)])]
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[(x y z)
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(cond
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[(fixnum? x)
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(cond
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[(fixnum? y)
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(cond
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[(fixnum? z) (and (fxfx< x y) (fxfx< y z))]
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[(bignum? z)
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(and (fxfx< x y) (fxbn< y z))]
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[(flonum? z)
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(and (fxfx< x y) (fxfl< y z))]
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[else (err z)])]
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[(bignum? y)
|
|
(cond
|
|
[(fixnum? z) #f]
|
|
[(bignum? z)
|
|
(and (fxbn< x y) (bnbn< y z))]
|
|
[(flonum? z)
|
|
(and (fxbn< x y) (bnfl< y z))]
|
|
[else (err z)])]
|
|
[(flonum? y)
|
|
(cond
|
|
[(fixnum? z)
|
|
(and (fxfx< x z)
|
|
(fxfl< x y)
|
|
(flfx< y z))]
|
|
[(bignum? z)
|
|
(and (fxbn< x z)
|
|
(fxfl< x y)
|
|
(flbn< y z))]
|
|
[(flonum? z)
|
|
(and (flfl< y z)
|
|
(fxfl< x y))]
|
|
[else (err z)])]
|
|
[else (err y)])]
|
|
[(bignum? x)
|
|
(cond
|
|
[(fixnum? y)
|
|
(cond
|
|
[(fixnum? z) (and (fxfx< y z) (bnfx< x y))]
|
|
[(bignum? z)
|
|
(and (bnfx< x y) (bnfx< y z))]
|
|
[(flonum? z)
|
|
(and (bnfx< x y) (fxfl< y z))]
|
|
[else (err z)])]
|
|
[(bignum? y)
|
|
(cond
|
|
[(fixnum? z) (and (bnfx< y z) (bnbn< x y))]
|
|
[(bignum? z) (and (bnbn< x y) (bnbn< y z))]
|
|
[(flonum? z) (and (bnfl< y z) (bnbn< x y))]
|
|
[else (err z)])]
|
|
[(flonum? y)
|
|
(cond
|
|
[(fixnum? z)
|
|
(and (flfx< y z) (bnfl< x y))]
|
|
[(bignum? z)
|
|
(and (bnfl< x y) (flbn< y z))]
|
|
[(flonum? z)
|
|
(and (flfl< y z) (bnfl< x y))]
|
|
[else (err z)])]
|
|
[else (err y)])]
|
|
[(flonum? x)
|
|
(cond
|
|
[(fixnum? y)
|
|
(cond
|
|
[(fixnum? z)
|
|
(and (fxfx< y z) (flfx< x y))]
|
|
[(bignum? z)
|
|
(and (flfx< x y) (fxbn< y z))]
|
|
[(flonum? z)
|
|
(and (flfx< x y) (fxfl< y z))]
|
|
[else (err z)])]
|
|
[(bignum? y)
|
|
(cond
|
|
[(fixnum? z)
|
|
(and (bnfx< y z) (flbn< x y))]
|
|
[(bignum? z)
|
|
(and (bnbn< y z) (flbn< x y))]
|
|
[(flonum? z)
|
|
(and (flbn< x y) (bnfl< y z))]
|
|
[else (err z)])]
|
|
[(flonum? y)
|
|
(cond
|
|
[(fixnum? z)
|
|
(and (flfx< y z) (flfl< x y))]
|
|
[(bignum? z)
|
|
(and (flfl< x y) (flbn< y z))]
|
|
[(flonum? z)
|
|
(and (flfl< x y) (flfl< y z))]
|
|
[else (err z)])]
|
|
[else (err y)])]
|
|
[else (err x)])]
|
|
[(x) (if (number? x) #t (err x))]
|
|
[(x y . ls)
|
|
(cond
|
|
[(fixnum? x) (fxloopt x y ls)]
|
|
[(bignum? x) (bnloopt x y ls)]
|
|
[(flonum? x) (flloopt x y ls)]
|
|
[else (err x)])]))]))
|
|
|
|
(define-syntax false (syntax-rules () [(_ x y) #f]))
|
|
(define-syntax bnbncmp
|
|
(syntax-rules ()
|
|
[(_ x y cmp)
|
|
(cmp (foreign-call "ikrt_bnbncomp" x y) 0)]))
|
|
(define-syntax bnbn= (syntax-rules () [(_ x y) (bnbncmp x y $fx=)]))
|
|
(define-syntax bnbn< (syntax-rules () [(_ x y) (bnbncmp x y $fx<)]))
|
|
(define-syntax bnbn> (syntax-rules () [(_ x y) (bnbncmp x y $fx>)]))
|
|
(define-syntax bnbn<= (syntax-rules () [(_ x y) (bnbncmp x y $fx<=)]))
|
|
(define-syntax bnbn>= (syntax-rules () [(_ x y) (bnbncmp x y $fx>=)]))
|
|
(define-syntax fxbn< (syntax-rules () [(_ x y) (positive-bignum? y)]))
|
|
(define-syntax bnfx< (syntax-rules () [(_ x y) (not (positive-bignum? x))]))
|
|
(define-syntax fxbn> (syntax-rules () [(_ x y) (not (positive-bignum? y))]))
|
|
(define-syntax bnfx> (syntax-rules () [(_ x y) (positive-bignum? x)]))
|
|
|
|
(define-syntax flcmp
|
|
(syntax-rules ()
|
|
[(_ flfl? flfx? fxfl? flbn? bnfl? fl?)
|
|
(begin
|
|
(define-syntax flfl?
|
|
(syntax-rules () [(_ x y) (fl? x y)]))
|
|
(define-syntax flfx?
|
|
(syntax-rules () [(_ x y) (fl? x (fixnum->flonum y))]))
|
|
(define-syntax flbn?
|
|
(syntax-rules () [(_ x y) (fl? x (bignum->flonum y))]))
|
|
(define-syntax fxfl?
|
|
(syntax-rules () [(_ x y) (fl? (fixnum->flonum x) y)]))
|
|
(define-syntax bnfl?
|
|
(syntax-rules () [(_ x y) (fl? (bignum->flonum x) y)])))]))
|
|
|
|
(define-syntax $fl=
|
|
(syntax-rules () [(_ x y) (foreign-call "ikrt_fl_equal" x y)]))
|
|
(define-syntax $fl<
|
|
(syntax-rules () [(_ x y) (foreign-call "ikrt_fl_less" x y)]))
|
|
(define-syntax $fl<=
|
|
(syntax-rules () [(_ x y) (foreign-call "ikrt_fl_less_or_equal" x y)]))
|
|
(define-syntax $fl>
|
|
(syntax-rules () [(_ x y) (foreign-call "ikrt_fl_less" y x)]))
|
|
(define-syntax $fl>=
|
|
(syntax-rules () [(_ x y) (foreign-call "ikrt_fl_less_or_equal" y x)]))
|
|
|
|
(flcmp flfl= flfx= fxfl= flbn= bnfl= $fl=)
|
|
(flcmp flfl< flfx< fxfl< flbn< bnfl< $fl<)
|
|
(flcmp flfl> flfx> fxfl> flbn> bnfl> $fl>)
|
|
(flcmp flfl<= flfx<= fxfl<= flbn<= bnfl<= $fl<=)
|
|
(flcmp flfl>= flfx>= fxfl>= flbn>= bnfl>= $fl>=)
|
|
|
|
|
|
(define =
|
|
(mk< = $fx= false false bnbn= fxfl= flfx= bnfl= flbn= flfl=))
|
|
(define <
|
|
(mk< < $fx< fxbn< bnfx< bnbn< fxfl< flfx< bnfl< flbn< flfl<))
|
|
(define >
|
|
(mk< > $fx> fxbn> bnfx> bnbn> fxfl> flfx> bnfl> flbn> flfl>))
|
|
(define <=
|
|
(mk< <= $fx<= fxbn< bnfx< bnbn<= fxfl<= flfx<= bnfl<= flbn<= flfl<=))
|
|
(define >=
|
|
(mk< >= $fx>= fxbn> bnfx> bnbn>= fxfl>= flfx>= bnfl>= flbn>= flfl>=))
|
|
|
|
(define add1
|
|
(lambda (x)
|
|
(cond
|
|
[(fixnum? x)
|
|
(foreign-call "ikrt_fxfxplus" x 1)]
|
|
[(bignum? x)
|
|
(foreign-call "ikrt_fxbnplus" 1 x)]
|
|
[else (error 'add1 "~s is not a number" x)])))
|
|
|
|
(define sub1
|
|
(lambda (x)
|
|
(cond
|
|
[(fixnum? x)
|
|
(foreign-call "ikrt_fxfxplus" x -1)]
|
|
[(bignum? x)
|
|
(foreign-call "ikrt_fxbnplus" -1 x)]
|
|
[else (error 'sub1 "~s is not a number" x)])))
|
|
|
|
(define zero?
|
|
(lambda (x)
|
|
(cond
|
|
[(fixnum? x) (eq? x 0)]
|
|
[(bignum? x) #f]
|
|
[(flonum? x) (= x (exact->inexact 0))]
|
|
[else (error 'zero? "tag=~s / ~s is not a number"
|
|
($fxlogand 255
|
|
($fxsll x 2))
|
|
($fxlogand x -1)
|
|
)])))
|
|
|
|
(define expt
|
|
(lambda (n m)
|
|
(define fxexpt
|
|
(lambda (n m)
|
|
(cond
|
|
[($fxzero? m) 1]
|
|
[($fxzero? ($fxlogand m 1))
|
|
(fxexpt (binary* n n) ($fxsra m 1))]
|
|
[else
|
|
(binary* n (fxexpt (binary* n n) ($fxsra m 1)))])))
|
|
(unless (number? n)
|
|
(error 'expt "~s is not a numebr" n))
|
|
(cond
|
|
[(fixnum? m)
|
|
(if ($fx>= m 0)
|
|
(fxexpt n m)
|
|
(error 'expt "power should be positive, got ~s" m))]
|
|
[(bignum? m)
|
|
(cond
|
|
[(eq? n 0) 0]
|
|
[(eq? n 1) 1]
|
|
[(eq? n -1)
|
|
(if (positive-bignum? m)
|
|
(if (even-bignum? m)
|
|
1
|
|
-1)
|
|
(error 'expt "power should be positive, got ~s" m))]
|
|
[else
|
|
(if (positive-bignum? m)
|
|
(error 'expt "(expt ~s ~s) is too big to compute" n m)
|
|
(error 'expt "power should be positive, got ~s" m))])]
|
|
[else (error 'expt "~s is not a number" m)])))
|
|
|
|
(define quotient
|
|
(lambda (x y)
|
|
(let-values ([(q r) (quotient+remainder x y)])
|
|
q)))
|
|
|
|
(define remainder
|
|
(lambda (x y)
|
|
(let-values ([(q r) (quotient+remainder x y)])
|
|
r)))
|
|
|
|
(define quotient+remainder
|
|
(lambda (x y)
|
|
(cond
|
|
[(eq? y 0)
|
|
(error 'quotient+remainder
|
|
"second argument must be non-zero")]
|
|
[(fixnum? x)
|
|
(cond
|
|
[(fixnum? y)
|
|
(values (fxquotient x y)
|
|
(fxremainder x y))]
|
|
[(bignum? y) (values 0 x)]
|
|
[else (error 'quotient+remainder
|
|
"~s is not a number" y)])]
|
|
[(bignum? x)
|
|
(cond
|
|
[(fixnum? y)
|
|
(let ([p (foreign-call "ikrt_bnfxdivrem" x y)])
|
|
(values (car p) (cdr p)))]
|
|
[(bignum? y)
|
|
(let ([p (foreign-call "ikrt_bnbndivrem" x y)])
|
|
(values (car p) (cdr p)))]
|
|
[else (error 'quotient+remainder
|
|
"~s is not a number" y)])]
|
|
[else (error 'quotient+remainder
|
|
"~s is not a number" x)])))
|
|
|
|
(define positive?
|
|
(lambda (x)
|
|
(cond
|
|
[(fixnum? x) ($fx> x 0)]
|
|
[(bignum? x) (positive-bignum? x)]
|
|
[else (error 'positive? "~s is not a number" x)])))
|
|
|
|
(define negative?
|
|
(lambda (x)
|
|
(cond
|
|
[(fixnum? x) ($fx< x 0)]
|
|
[(bignum? x) (not (positive-bignum? x))]
|
|
[else (error 'negative? "~s is not a number" x)])))
|
|
|
|
(define sin
|
|
(lambda (x)
|
|
(cond
|
|
[(flonum? x) (foreign-call "ikrt_fl_sin" x)]
|
|
[(fixnum? x) (foreign-call "ikrt_fx_sin" x)]
|
|
[else (error 'sin "unsupported ~s" x)])))
|
|
|
|
(define cos
|
|
(lambda (x)
|
|
(cond
|
|
[(flonum? x) (foreign-call "ikrt_fl_cos" x)]
|
|
[(fixnum? x) (foreign-call "ikrt_fx_cos" x)]
|
|
[else (error 'cos "unsupported ~s" x)])))
|
|
|
|
(define atan
|
|
(lambda (x)
|
|
(cond
|
|
[(flonum? x) (foreign-call "ikrt_fl_atan" x)]
|
|
[(fixnum? x) (foreign-call "ikrt_fx_atan" x)]
|
|
[else (error 'atan "unsupported ~s" x)])))
|
|
|
|
(define sqrt
|
|
(lambda (x)
|
|
(cond
|
|
[(flonum? x) (foreign-call "ikrt_fl_sqrt" x)]
|
|
[(fixnum? x) (foreign-call "ikrt_fx_sqrt" x)]
|
|
[else (error 'sqrt "unsupported ~s" x)])))
|
|
|
|
|
|
|
|
(define string->number
|
|
(lambda (x)
|
|
(define (convert-data str len pos? idx ac)
|
|
(cond
|
|
[($fx= idx len) (if pos? ac (- 0 ac))]
|
|
[else
|
|
(let ([c ($string-ref str idx)])
|
|
(cond
|
|
[(and ($char<= #\0 c) ($char<= c #\9))
|
|
(convert-data str len pos? ($fxadd1 idx)
|
|
(+ (* ac 10)
|
|
($fx- ($char->fixnum c) ($char->fixnum #\0))))]
|
|
[else #f]))]))
|
|
(define (convert-data-init str len pos? idx c)
|
|
(cond
|
|
[($char= c #\0)
|
|
(if ($fx= idx len)
|
|
0
|
|
(convert-data-init str len pos?
|
|
($fxadd1 idx)
|
|
($string-ref str idx)))]
|
|
[(and ($char<= #\1 c) ($char<= c #\9))
|
|
(convert-data str len pos? idx
|
|
($fx- ($char->fixnum c) ($char->fixnum #\0)))]
|
|
[else #f]))
|
|
(define (convert-num str len pos?)
|
|
(cond
|
|
[($fx> len 1)
|
|
(convert-data-init str len pos? 2 ($string-ref str 1))]
|
|
[else #f]))
|
|
(define (convert-sign str len)
|
|
(cond
|
|
[($fx> len 0)
|
|
(let ([c ($string-ref str 0)])
|
|
(case c
|
|
[(#\+) (convert-num str len #t)]
|
|
[(#\-) (convert-num str len #f)]
|
|
[else
|
|
(convert-data-init str len #t 1 c)]))]
|
|
[else #f]))
|
|
(cond
|
|
[(string? x)
|
|
(convert-sign x ($string-length x))]
|
|
[else (error 'string->number "~s is not a string" x)])))
|
|
)
|