(defvar math-eval-rules-cache)
(defvar math-eval-rules-cache-other)
;;; Reduce an object to canonical (normalized) form. [O o; Z Z] [Public]
-(defun math-normalize (a)
+
+(defvar math-normalize-a)
+(defun math-normalize (math-normalize-a)
(cond
- ((not (consp a))
- (if (integerp a)
- (if (or (>= a 1000000) (<= a -1000000))
- (math-bignum a)
- a)
- a))
- ((eq (car a) 'bigpos)
- (if (eq (nth (1- (length a)) a) 0)
- (let* ((last (setq a (copy-sequence a))) (digs a))
+ ((not (consp math-normalize-a))
+ (if (integerp math-normalize-a)
+ (if (or (>= math-normalize-a 1000000) (<= math-normalize-a -1000000))
+ (math-bignum math-normalize-a)
+ math-normalize-a)
+ math-normalize-a))
+ ((eq (car math-normalize-a) 'bigpos)
+ (if (eq (nth (1- (length math-normalize-a)) math-normalize-a) 0)
+ (let* ((last (setq math-normalize-a
+ (copy-sequence math-normalize-a))) (digs math-normalize-a))
(while (setq digs (cdr digs))
(or (eq (car digs) 0) (setq last digs)))
(setcdr last nil)))
- (if (cdr (cdr (cdr a)))
- a
+ (if (cdr (cdr (cdr math-normalize-a)))
+ math-normalize-a
(cond
- ((cdr (cdr a)) (+ (nth 1 a) (* (nth 2 a) 1000)))
- ((cdr a) (nth 1 a))
+ ((cdr (cdr math-normalize-a)) (+ (nth 1 math-normalize-a)
+ (* (nth 2 math-normalize-a) 1000)))
+ ((cdr math-normalize-a) (nth 1 math-normalize-a))
(t 0))))
- ((eq (car a) 'bigneg)
- (if (eq (nth (1- (length a)) a) 0)
- (let* ((last (setq a (copy-sequence a))) (digs a))
+ ((eq (car math-normalize-a) 'bigneg)
+ (if (eq (nth (1- (length math-normalize-a)) math-normalize-a) 0)
+ (let* ((last (setq math-normalize-a (copy-sequence math-normalize-a)))
+ (digs math-normalize-a))
(while (setq digs (cdr digs))
(or (eq (car digs) 0) (setq last digs)))
(setcdr last nil)))
- (if (cdr (cdr (cdr a)))
- a
+ (if (cdr (cdr (cdr math-normalize-a)))
+ math-normalize-a
(cond
- ((cdr (cdr a)) (- (+ (nth 1 a) (* (nth 2 a) 1000))))
- ((cdr a) (- (nth 1 a)))
+ ((cdr (cdr math-normalize-a)) (- (+ (nth 1 math-normalize-a)
+ (* (nth 2 math-normalize-a) 1000))))
+ ((cdr math-normalize-a) (- (nth 1 math-normalize-a)))
(t 0))))
- ((eq (car a) 'float)
- (math-make-float (math-normalize (nth 1 a)) (nth 2 a)))
- ((or (memq (car a) '(frac cplx polar hms date mod sdev intv vec var quote
- special-const calcFunc-if calcFunc-lambda
- calcFunc-quote calcFunc-condition
- calcFunc-evalto))
- (integerp (car a))
- (and (consp (car a)) (not (eq (car (car a)) 'lambda))))
+ ((eq (car math-normalize-a) 'float)
+ (math-make-float (math-normalize (nth 1 math-normalize-a))
+ (nth 2 math-normalize-a)))
+ ((or (memq (car math-normalize-a)
+ '(frac cplx polar hms date mod sdev intv vec var quote
+ special-const calcFunc-if calcFunc-lambda
+ calcFunc-quote calcFunc-condition
+ calcFunc-evalto))
+ (integerp (car math-normalize-a))
+ (and (consp (car math-normalize-a))
+ (not (eq (car (car math-normalize-a)) 'lambda))))
(calc-extensions)
- (math-normalize-fancy a))
+ (math-normalize-fancy math-normalize-a))
(t
(or (and calc-simplify-mode
(calc-extensions)
(math-normalize-nonstandard))
- (let ((args (mapcar 'math-normalize (cdr a))))
+ (let ((args (mapcar 'math-normalize (cdr math-normalize-a))))
(or (condition-case err
- (let ((func (assq (car a) '( ( + . math-add )
- ( - . math-sub )
- ( * . math-mul )
- ( / . math-div )
- ( % . math-mod )
- ( ^ . math-pow )
- ( neg . math-neg )
- ( | . math-concat ) ))))
+ (let ((func
+ (assq (car math-normalize-a) '( ( + . math-add )
+ ( - . math-sub )
+ ( * . math-mul )
+ ( / . math-div )
+ ( % . math-mod )
+ ( ^ . math-pow )
+ ( neg . math-neg )
+ ( | . math-concat ) ))))
(or (and var-EvalRules
(progn
(or (eq var-EvalRules math-eval-rules-cache-tag)
(calc-extensions)
(math-recompile-eval-rules)))
(and (or math-eval-rules-cache-other
- (assq (car a) math-eval-rules-cache))
+ (assq (car math-normalize-a)
+ math-eval-rules-cache))
(math-apply-rewrites
- (cons (car a) args)
+ (cons (car math-normalize-a) args)
(cdr math-eval-rules-cache)
nil math-eval-rules-cache))))
(if func
(apply (cdr func) args)
- (and (or (consp (car a))
- (fboundp (car a))
+ (and (or (consp (car math-normalize-a))
+ (fboundp (car math-normalize-a))
(and (not calc-extensions-loaded)
(calc-extensions)
- (fboundp (car a))))
- (apply (car a) args)))))
+ (fboundp (car math-normalize-a))))
+ (apply (car math-normalize-a) args)))))
(wrong-number-of-arguments
(calc-record-why "*Wrong number of arguments"
- (cons (car a) args))
+ (cons (car math-normalize-a) args))
nil)
(wrong-type-argument
- (or calc-next-why (calc-record-why "Wrong type of argument"
- (cons (car a) args)))
+ (or calc-next-why
+ (calc-record-why "Wrong type of argument"
+ (cons (car math-normalize-a) args)))
nil)
(args-out-of-range
- (calc-record-why "*Argument out of range" (cons (car a) args))
+ (calc-record-why "*Argument out of range"
+ (cons (car math-normalize-a) args))
nil)
(inexact-result
(calc-record-why "No exact representation for result"
- (cons (car a) args))
+ (cons (car math-normalize-a) args))
nil)
(math-overflow
(calc-record-why "*Floating-point overflow occurred"
- (cons (car a) args))
+ (cons (car math-normalize-a) args))
nil)
(math-underflow
(calc-record-why "*Floating-point underflow occurred"
- (cons (car a) args))
+ (cons (car math-normalize-a) args))
nil)
(void-variable
(if (eq (nth 1 err) 'var-EvalRules)
(progn
(setq var-EvalRules nil)
- (math-normalize (cons (car a) args)))
+ (math-normalize (cons (car math-normalize-a) args)))
(calc-record-why "*Variable is void" (nth 1 err)))))
- (if (consp (car a))
+ (if (consp (car math-normalize-a))
(math-dimension-error)
- (cons (car a) args))))))))
+ (cons (car math-normalize-a) args))))))))