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(define-module (language python module math)
#:use-module (language python for)
#:use-module (language python try)
#:use-module (language python exceptions)
#:use-module (language python number)
#:use-module (system foreign)
#:use-module (rnrs bytevectors)
#:export (ceil copysign fabs factorial floor fmod frexp fsum gcd isclose
isfinite isinf isnan modf trunc exp expm1 log log1p log2 log10
pow sqrt acos asin atan cos sin tan atan2 hypot pi
degrees radians acosh asinh atanh cosh sinh tanh
erf erfc gamma lgamma e tau inf nan))
(define ceil
(lambda (x)
((@ (guile) inexac->exact)
((@ (guile) ceiling)
x))))
(define (copysign x y)
(let ((x ((@ (guile) abs) x)))
(if (< y 0) (- x) x)))
(define (fabs x) ((@ (guile) abs) x))
(define (factorial x)
(if (not (and (number? x) (integer? x)))
(raise ValueError "Not an integer"))
(if (< x 0)
(raise ValueError "Negative integer"))
(let lp ((x x))
(if (= x 0)
1
(* x (lp (- x 1))))))
(define (floor x)
((@ (guile) inexac->exact)
((@ (guile) floor)
x)))
(define (fmod x y) ((@ (guile) truncate-remainder) x y))
(define frexp
(let ((f (pointer->procedure double
(dynamic-func "frexp" (dynamic-link))
(list double '*))))
(lambda (x)
(let* ((v (make-bytevector 4))
(vp (bytevector->pointer v)))
(list (f x) (bytevector-s32-ref v 0 (native-endianness)))))))
(define (fsum it)
(for ((x : it)) ((s 0))
(+ s x)
#:final s))
(define gcd (@ (guile) gcd))
(define* (isclose a b #:key (rel_tol 1e-9) (abs_tol 0.0))
(define e-abs (abs (- a b)))
(if (< e-abs (max (* rel_tol (max (abs a) (abs b))) abs_tol))
#t
#f))
(define (isfinite x)
(if (or (inf? x) (nan? x))
#f
#t))
(define isinf inf?)
(define isnan nan?)
(define (ldexp x i) (* x ((@ (guile) expt) 2 i)))
(define (modf x)
(let* ((x1 (floor x))
(x2 (- x x1)))
(values x2 x1)))
(define trunc py-trunc)
;; Power and logarithms
(define exp (@ (guile) exp))
(define expm1
(let ((f (pointer->procedure double
(dynamic-func "expm1" (dynamic-link))
(list double))))
(lambda (x) (f x))))
(define log (@ (guile) log))
(define log1p
(let ((f (pointer->procedure double
(dynamic-func "log1p" (dynamic-link))
(list double))))
(lambda (x) (f x))))
(define log2
(let ((f (pointer->procedure double
(dynamic-func "log2" (dynamic-link))
(list double))))
(lambda (x) (f x))))
(define log10 (@ (guile) log10))
(define pow expt)
(define sqrt (@ (guile) sqrt))
;; Trigs
(define acos (@ (guile) acos))
(define asin (@ (guile) asin))
(define atan (@ (guile) atan))
(define cos (@ (guile) cos))
(define sin (@ (guile) sin))
(define tan (@ (guile) tan))
(define atan2
(let ((f (pointer->procedure double
(dynamic-func "atan2" (dynamic-link))
(list double double))))
(lambda (x y) (f x y))))
(define hypot
(let ((f (pointer->procedure double
(dynamic-func "hypot" (dynamic-link))
(list double double))))
(lambda (x y) (f x y))))
;; angular conversion
(define pi (* 4 (atan 1)))
(define degrees
(let ((f (/ 360 (* 2 pi))))
(lambda (x) (* f x))))
(define radians
(let ((f (/ (* 2 pi) 360)))
(lambda (x) (* f x))))
;; Hyperbolic funcitons
(define acosh (@ (guile) acosh))
(define asinh (@ (guile) asinh))
(define atanh (@ (guile) atanh))
(define cosh (@ (guile) cosh))
(define sinh (@ (guile) sinh))
(define tanh (@ (guile) tanh))
;; Special functions
(define erf
(let ((f (pointer->procedure double
(dynamic-func "erf" (dynamic-link))
(list double))))
(lambda (x) (f x))))
(define erfc
(let ((f (pointer->procedure double
(dynamic-func "erfc" (dynamic-link))
(list double))))
(lambda (x) (f x))))
(define gamma
(let ((f (pointer->procedure double
(dynamic-func "tgamma" (dynamic-link))
(list double))))
(lambda (x)
(if (integer? x)
(factorial (- x 1))
(f x)))))
(define lgamma
(let ((f (pointer->procedure double
(dynamic-func "lgamma" (dynamic-link))
(list double))))
(lambda (x)
(f x))))
;; constants
(define e (exp 1))
(define tau (* 2 pi))
(define inf ((@ (guile) inf)))
(define nan ((@ (guile) nan)))
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