question about 'is', 'compare'
- Subject: question about 'is', 'compare'
- From: Stavros Macrakis
- Date: Tue, 5 Jun 2007 17:11:04 -0400
I *did* attach the file, but for some reason it is not appearing -- gmail
glitch?
Anyway, here it is in line:
(defun signdiff-special (xlhs xrhs)
(when (or (and (numberp xrhs) (minusp xrhs)
(not (atom xlhs)) (eq (sign* xlhs) '$pos))
; e.g. sign(a^3+%pi-1) where a>0
(and (mexptp xlhs)
;; e.g. sign(%e^x-1) where x>0
(eq (sign* (caddr xlhs)) '$pos)
(or (and
;; Q^Rpos - S, S<=1, Q>1
(memq (sign* (sub 1 xrhs)) '($pos $zero $pz))
(eq (sign* (sub (cadr xlhs) 1)) '$pos))
(and
;; Qpos ^ Rpos - Spos => Qpos - Spos^(1/Rpos)
(eq (sign* (cadr xlhs)) '$pos)
(eq (sign* xrhs) '$pos)
(eq (sign* (sub (cadr xlhs)
(power xrhs (div 1 (caddr xlhs)))))
'$pos))))
(and (mexptp xlhs) (mexptp xrhs)
;; Q^R - Q^T, Q>1, (R-T) > 0
;; e.g. sign(2^x-2^y) where x>y
(alike1 (cadr xlhs) (cadr xrhs))
(eq (sign* (sub (cadr xlhs) 1)) '$pos)
(eq (sign* (sub (caddr xlhs) (caddr xrhs))) '$pos)))
(setq sign '$pos minus nil odds nil evens nil)
t)
)