(math-normalize (list '^ a b)))
(defun math-pow-of-zero (a b)
- (if (Math-zerop b)
- (if calc-infinite-mode
- '(var nan var-nan)
- (math-reject-arg (list '^ a b) "*Indeterminate form"))
- (if (math-floatp b) (setq a (math-float a)))
- (if (math-posp b)
- a
- (if (math-negp b)
- (math-div 1 a)
- (if (math-infinitep b)
- '(var nan var-nan)
- (if (and (eq (car b) 'intv) (math-intv-constp b)
- calc-infinite-mode)
- '(intv 3 (neg (var inf var-inf)) (var inf var-inf))
- (if (math-objectp b)
- (list '^ a b)
- a)))))))
+ "Raise A to the power of B, where A is a form of zero."
+ (if (math-floatp b) (setq a (math-float a)))
+ (cond
+ ;; 0^0 = 1
+ ((eq b 0)
+ 1)
+ ;; 0^0.0, etc., are undetermined
+ ((Math-zerop b)
+ (if calc-infinite-mode
+ '(var nan var-nan)
+ (math-reject-arg (list '^ a b) "*Indeterminate form")))
+ ;; 0^positive = 0
+ ((math-posp b)
+ a)
+ ;; 0^negative is undefined (let math-div handle it)
+ ((math-negp b)
+ (math-div 1 a))
+ ;; 0^infinity is undefined
+ ((math-infinitep b)
+ '(var nan var-nan))
+ ;; Some intervals
+ ((and (eq (car b) 'intv)
+ calc-infinite-mode
+ (math-negp (nth 2 b))
+ (math-posp (nth 3 b)))
+ '(intv 3 (neg (var inf var-inf)) (var inf var-inf)))
+ ;; If none of the above, leave it alone.
+ (t
+ (list '^ a b))))
(defun math-pow-zero (a b)
(if (eq (car-safe a) 'mod)