;; Copyright (C) 1990, 1991, 1992, 1993, 2001 Free Software Foundation, Inc.
;; Author: David Gillespie <daveg@synaptics.com>
-;; Maintainers: D. Goel <deego@gnufans.org>
-;; Colin Walters <walters@debian.org>
+;; Maintainer: Jay Belanger <belanger@truman.edu>
;; This file is part of GNU Emacs.
;;; Code:
;; This file is autoloaded from calc-ext.el.
-(require 'calc-ext)
+(require 'calc-ext)
(require 'calc-macs)
-(defun calc-Need-calc-arith () nil)
+;;; The following lists are not exhaustive.
+(defvar math-scalar-functions '(calcFunc-det
+ calcFunc-cnorm calcFunc-rnorm
+ calcFunc-vlen calcFunc-vcount
+ calcFunc-vsum calcFunc-vprod
+ calcFunc-vmin calcFunc-vmax))
+
+(defvar math-nonscalar-functions '(vec calcFunc-idn calcFunc-diag
+ calcFunc-cvec calcFunc-index
+ calcFunc-trn
+ | calcFunc-append
+ calcFunc-cons calcFunc-rcons
+ calcFunc-tail calcFunc-rhead))
+
+(defvar math-scalar-if-args-functions '(+ - * / neg))
+
+(defvar math-real-functions '(calcFunc-arg
+ calcFunc-re calcFunc-im
+ calcFunc-floor calcFunc-ceil
+ calcFunc-trunc calcFunc-round
+ calcFunc-rounde calcFunc-roundu
+ calcFunc-ffloor calcFunc-fceil
+ calcFunc-ftrunc calcFunc-fround
+ calcFunc-frounde calcFunc-froundu))
+
+(defvar math-positive-functions '())
+
+(defvar math-nonnegative-functions '(calcFunc-cnorm calcFunc-rnorm
+ calcFunc-vlen calcFunc-vcount))
+
+(defvar math-real-scalar-functions '(% calcFunc-idiv calcFunc-abs
+ calcFunc-choose calcFunc-perm
+ calcFunc-eq calcFunc-neq
+ calcFunc-lt calcFunc-gt
+ calcFunc-leq calcFunc-geq
+ calcFunc-lnot
+ calcFunc-max calcFunc-min))
+
+(defvar math-real-if-arg-functions '(calcFunc-sin calcFunc-cos
+ calcFunc-tan calcFunc-sec
+ calcFunc-csc calcFunc-cot
+ calcFunc-arctan
+ calcFunc-sinh calcFunc-cosh
+ calcFunc-tanh calcFunc-sech
+ calcFunc-csch calcFunc-coth
+ calcFunc-exp
+ calcFunc-gamma calcFunc-fact))
+
+(defvar math-integer-functions '(calcFunc-idiv
+ calcFunc-isqrt calcFunc-ilog
+ calcFunc-vlen calcFunc-vcount))
+
+(defvar math-num-integer-functions '())
+
+(defvar math-rounding-functions '(calcFunc-floor
+ calcFunc-ceil
+ calcFunc-round calcFunc-trunc
+ calcFunc-rounde calcFunc-roundu))
+
+(defvar math-float-rounding-functions '(calcFunc-ffloor
+ calcFunc-fceil
+ calcFunc-fround calcFunc-ftrunc
+ calcFunc-frounde calcFunc-froundu))
+
+(defvar math-integer-if-args-functions '(+ - * % neg calcFunc-abs
+ calcFunc-min calcFunc-max
+ calcFunc-choose calcFunc-perm))
;;; Arithmetic.
;;; TYPES is a list of type symbols (any, int, frac, ...)
;;; RANGE is a sorted vector of intervals describing the range.
+(defvar math-super-types
+ '((int numint rat real number)
+ (numint real number)
+ (frac rat real number)
+ (rat real number)
+ (float real number)
+ (real number)
+ (number)
+ (scalar)
+ (matrix vector)
+ (vector)
+ (const)))
+
(defun math-setup-declarations ()
(or (eq math-decls-cache-tag (calc-var-value 'var-Decls))
(let ((p (calc-var-value 'var-Decls))
(error nil)))))
(setq math-decls-all (assq 'var-All math-decls-cache)))))
-(defvar math-super-types
- '((int numint rat real number)
- (numint real number)
- (frac rat real number)
- (rat real number)
- (float real number)
- (real number)
- (number)
- (scalar)
- (matrix vector)
- (vector)
- (const)))
-
(defun math-known-scalarp (a &optional assume-scalar)
(math-setup-declarations)
(if (if calc-matrix-mode
((Math-negp a) 1)
((Math-zerop a) 2)
((eq (car a) 'intv)
- (cond ((Math-zerop (nth 2 a)) 6)
- ((Math-zerop (nth 3 a)) 3)
- (t 7)))
+ (cond
+ ((math-known-posp (nth 2 a)) 4)
+ ((math-known-negp (nth 3 a)) 1)
+ ((Math-zerop (nth 2 a)) 6)
+ ((Math-zerop (nth 3 a)) 3)
+ (t 7)))
((eq (car a) 'sdev)
(if (math-known-realp (nth 1 a)) 7 15))
(t 8)))
(math-reject-arg a 'objectp 'quiet))))
-;;; The following lists are not exhaustive.
-(defvar math-scalar-functions '(calcFunc-det
- calcFunc-cnorm calcFunc-rnorm
- calcFunc-vlen calcFunc-vcount
- calcFunc-vsum calcFunc-vprod
- calcFunc-vmin calcFunc-vmax))
-
-(defvar math-nonscalar-functions '(vec calcFunc-idn calcFunc-diag
- calcFunc-cvec calcFunc-index
- calcFunc-trn
- | calcFunc-append
- calcFunc-cons calcFunc-rcons
- calcFunc-tail calcFunc-rhead))
-
-(defvar math-scalar-if-args-functions '(+ - * / neg))
-
-(defvar math-real-functions '(calcFunc-arg
- calcFunc-re calcFunc-im
- calcFunc-floor calcFunc-ceil
- calcFunc-trunc calcFunc-round
- calcFunc-rounde calcFunc-roundu
- calcFunc-ffloor calcFunc-fceil
- calcFunc-ftrunc calcFunc-fround
- calcFunc-frounde calcFunc-froundu))
-
-(defvar math-positive-functions '())
-
-(defvar math-nonnegative-functions '(calcFunc-cnorm calcFunc-rnorm
- calcFunc-vlen calcFunc-vcount))
-
-(defvar math-real-scalar-functions '(% calcFunc-idiv calcFunc-abs
- calcFunc-choose calcFunc-perm
- calcFunc-eq calcFunc-neq
- calcFunc-lt calcFunc-gt
- calcFunc-leq calcFunc-geq
- calcFunc-lnot
- calcFunc-max calcFunc-min))
-
-(defvar math-real-if-arg-functions '(calcFunc-sin calcFunc-cos
- calcFunc-tan calcFunc-arctan
- calcFunc-sinh calcFunc-cosh
- calcFunc-tanh calcFunc-exp
- calcFunc-gamma calcFunc-fact))
-
-(defvar math-integer-functions '(calcFunc-idiv
- calcFunc-isqrt calcFunc-ilog
- calcFunc-vlen calcFunc-vcount))
-
-(defvar math-num-integer-functions '())
-
-(defvar math-rounding-functions '(calcFunc-floor
- calcFunc-ceil
- calcFunc-round calcFunc-trunc
- calcFunc-rounde calcFunc-roundu))
-
-(defvar math-float-rounding-functions '(calcFunc-ffloor
- calcFunc-fceil
- calcFunc-fround calcFunc-ftrunc
- calcFunc-frounde calcFunc-froundu))
-
-(defvar math-integer-if-args-functions '(+ - * % neg calcFunc-abs
- calcFunc-min calcFunc-max
- calcFunc-choose calcFunc-perm))
-
-
;;;; Arithmetic.
(defsubst calcFunc-neg (a)
(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-known-posp b)
+ a)
+ ;; 0^negative is undefined (let math-div handle it)
+ ((math-known-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)
(defalias 'calcFunc-float 'math-float)
+;; The variable math-trunc-prec is local to math-trunc in calc-misc.el,
+;; but used by math-trunc-fancy which is called by math-trunc.
+(defvar math-trunc-prec)
+
(defun math-trunc-fancy (a)
(cond ((eq (car a) 'frac) (math-quotient (nth 1 a) (nth 2 a)))
((eq (car a) 'cplx) (math-trunc (nth 1 a)))
(math-trunc (nth 3 a)))))
((math-provably-integerp a) a)
((Math-vectorp a)
- (math-map-vec (function (lambda (x) (math-trunc x prec))) a))
+ (math-map-vec (function (lambda (x) (math-trunc x math-trunc-prec))) a))
((math-infinitep a)
(if (or (math-posp a) (math-negp a))
a
a
(math-float (math-trunc a prec))))
+;; The variable math-floor-prec is local to math-floor in calc-misc.el,
+;; but used by math-floor-fancy which is called by math-floor.
+(defvar math-floor-prec)
+
(defun math-floor-fancy (a)
(cond ((math-provably-integerp a) a)
((eq (car a) 'hms)
(math-add (math-floor (nth 3 a)) -1)
(math-floor (nth 3 a)))))
((Math-vectorp a)
- (math-map-vec (function (lambda (x) (math-floor x prec))) a))
+ (math-map-vec (function (lambda (x) (math-floor x math-floor-prec))) a))
((math-infinitep a)
(if (or (math-posp a) (math-negp a))
a
(defvar math-combine-prod-e '(var e var-e))
;;; The following is expanded out four ways for speed.
+
+;; math-unit-prefixes is defined in calc-units.el,
+;; but used here.
+(defvar math-unit-prefixes)
+
(defun math-combine-prod (a b inva invb scalar-okay)
(cond
((or (and inva (Math-zerop a))
(math-div a b)
(math-mul a b)))))
+;; The variable math-com-bterms is local to math-commutative-equal,
+;; but is used by math-commutative collect, which is called by
+;; math-commutative-equal.
+(defvar math-com-bterms)
+
(defun math-commutative-equal (a b)
(if (memq (car-safe a) '(+ -))
(and (memq (car-safe b) '(+ -))
- (let ((bterms nil) aterms p)
+ (let ((math-com-bterms nil) aterms p)
(math-commutative-collect b nil)
- (setq aterms bterms bterms nil)
+ (setq aterms math-com-bterms math-com-bterms nil)
(math-commutative-collect a nil)
- (and (= (length aterms) (length bterms))
+ (and (= (length aterms) (length math-com-bterms))
(progn
(while (and aterms
(progn
- (setq p bterms)
+ (setq p math-com-bterms)
(while (and p (not (equal (car aterms)
(car p))))
(setq p (cdr p)))
p))
- (setq bterms (delq (car p) bterms)
+ (setq math-com-bterms (delq (car p) math-com-bterms)
aterms (cdr aterms)))
(not aterms)))))
(equal a b)))
(progn
(math-commutative-collect (nth 1 b) neg)
(math-commutative-collect (nth 2 b) (not neg)))
- (setq bterms (cons (if neg (math-neg b) b) bterms)))))
+ (setq math-com-bterms (cons (if neg (math-neg b) b) math-com-bterms)))))
+
+(provide 'calc-arith)
;;; arch-tag: 6c396b5b-14c6-40ed-bb2a-7cc2e8111465
;;; calc-arith.el ends here