From 588998599ee745444c3c4da7df9b14e1cb8545bd Mon Sep 17 00:00:00 2001 From: Jakub Jankiewicz Date: Sun, 11 Feb 2024 22:08:59 +0100 Subject: [PATCH] handle +/-inf.0 and +nan.0 in atan #299 --- dist/std.min.scm | 2 +- dist/std.scm | 16 ++++++++++++---- dist/std.xcb | Bin 113186 -> 113384 bytes lib/R5RS.scm | 16 ++++++++++++---- tests/numbers.scm | 6 +++++- 5 files changed, 30 insertions(+), 10 deletions(-) diff --git a/dist/std.min.scm b/dist/std.min.scm index e89c1dc2..77fc3e49 100644 --- a/dist/std.min.scm +++ b/dist/std.min.scm @@ -174,7 +174,7 @@ (define (sin n) "(sin n)\u000A\u000AFunction that calculates sine of a number." (typecheck "sin" n "number") (if (string=? n.__type__ "complex") (let ((re (real-part n)) (im (imag-part n))) (lips.LComplex (object :re (* (Math.sin re) (Math.cosh im)) :im (* (Math.cos re) (Math.sinh im))))) (Math.sin n))) (define (cos n) "(cos n)\u000A\u000AFunction that calculates cosine of a number." (typecheck "cos" n "number") (if (string=? n.__type__ "complex") (let ((re (real-part n)) (im (imag-part n))) (lips.LComplex (object :re (* (Math.cos re) (Math.cosh im)) :im (- (* (Math.sin re) (Math.sinh im)))))) (Math.cos n))) (define (tan n) "(tan n)\u000A\u000AFunction that calculates tangent of a number." (typecheck "tan" n "number") (if (string=? n.__type__ "complex") (let* ((re (real-part n)) (im (imag-part n)) (re2 (* 2 re)) (im2 (* 2 im))) (lips.LComplex (object :re (/ (Math.sin re2) (+ (Math.cos re2) (Math.cosh im2))) :im (/ (Math.sinh im2) (+ (Math.cos re2) (Math.cosh im2)))))) (Math.tan n))) -(define (atan z . rest) "(atan z)\u000A(atan x y)\u000A\u000AFunction calculates arcus tangent of a complex number.\u000AIf two argumets are passed and they are not complex numbers\u000Ait calulates Math.atan2 on those arguments." (if (and (null? rest) (complex? z)) (let ((iz (* +1i z))) (* (/ 1 +2i) (log (/ (+ 1 iz) (- 1 iz))))) (let ((x z) (y (car rest))) (if (and (zero? (imag-part x)) (zero? (imag-part y))) (Math.atan2 x y) (error "atan: can't call with two complex numbers"))))) +(define (atan z . rest) "(atan z)\u000A(atan x y)\u000A\u000AFunction calculates arcus tangent of a complex number.\u000AIf two argumets are passed and they are not complex numbers\u000Ait calulates Math.atan2 on those arguments." (if (and (null? rest) (complex? z)) (cond ((nan? z) +nan.0) ((infinite? z) (let ((atan (/ Math.PI 2))) (if (< z 0) (- atan) atan))) (else (let ((iz (* +1i z))) (* (/ 1 +2i) (log (/ (+ 1 iz) (- 1 iz))))))) (let ((x z) (y (car rest))) (if (and (zero? (imag-part x)) (zero? (imag-part y))) (Math.atan2 x y) (error "atan: can't call with two complex numbers"))))) (define (exp n) "(exp n)\u000A\u000AFunction that calculates e raised to the power of n." (typecheck "exp" n "number") (if (string=? n.__type__ "complex") (let* ((re (real-part n)) (im (imag-part n)) (factor (Math.exp re))) (make-rectangular (* factor (cos im)) (* factor (sin im)))) (Math.exp n))) (define (modulo a b) "(modulo a b)\u000A\u000AReturns modulo operation on its argumennts." (typecheck "modulo" a "number" 1) (typecheck "modulo" b "number" 2) (- a (* b (floor (/ a b))))) (define (remainder__ a b) "(modulo a b)\u000A\u000AReturns remainder from division operation." (typecheck "remainder" a "number" 1) (typecheck "remainder" b "number" 2) (- a (* b (truncate (/ a b))))) diff --git a/dist/std.scm b/dist/std.scm index d2483f24..5bc75f23 100644 --- a/dist/std.scm +++ b/dist/std.scm @@ -2155,10 +2155,18 @@ If two argumets are passed and they are not complex numbers it calulates Math.atan2 on those arguments." (if (and (null? rest) (complex? z)) - (let ((iz (* +i z))) - (* (/ 1 +2i) - (log (/ (+ 1 iz) - (- 1 iz))))) + (cond ((nan? z) +nan.0) + ((infinite? z) + (let ((atan (/ Math.PI 2))) + (if (< z 0) + (- atan) + atan))) + (else + ;; ref: https://youtu.be/d93AarE0lKg + (let ((iz (* +i z))) + (* (/ 1 +2i) + (log (/ (+ 1 iz) + (- 1 iz))))))) (let ((x z) (y (car rest))) (if (and (zero? (imag-part x)) (zero? 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