;;; calc-ext.el --- various extension functions for Calc
-;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2004, 2005 Free Software Foundation, Inc.
+;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004,
+;; 2005, 2006, 2007 Free Software Foundation, Inc.
;; Author: David Gillespie <daveg@synaptics.com>
-;; Maintainer: Jay Belanger <belanger@truman.edu>
+;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
;; This file is part of GNU Emacs.
+;; GNU Emacs is free software; you can redistribute it and/or modify
+;; it under the terms of the GNU General Public License as published by
+;; the Free Software Foundation; either version 3, or (at your option)
+;; any later version.
+
;; GNU Emacs is distributed in the hope that it will be useful,
-;; but WITHOUT ANY WARRANTY. No author or distributor
-;; accepts responsibility to anyone for the consequences of using it
-;; or for whether it serves any particular purpose or works at all,
-;; unless he says so in writing. Refer to the GNU Emacs General Public
-;; License for full details.
-
-;; Everyone is granted permission to copy, modify and redistribute
-;; GNU Emacs, but only under the conditions described in the
-;; GNU Emacs General Public License. A copy of this license is
-;; supposed to have been given to you along with GNU Emacs so you
-;; can know your rights and responsibilities. It should be in a
-;; file named COPYING. Among other things, the copyright notice
-;; and this notice must be preserved on all copies.
+;; but WITHOUT ANY WARRANTY; without even the implied warranty of
+;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+;; GNU General Public License for more details.
+
+;; You should have received a copy of the GNU General Public License
+;; along with GNU Emacs; see the file COPYING. If not, write to the
+;; Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+;; Boston, MA 02110-1301, USA.
;;; Commentary:
(require 'calc)
(require 'calc-macs)
+;; Declare functions which are defined elsewhere.
+(declare-function math-clip "calc-bin" (a &optional w))
+(declare-function math-round "calc-arith" (a &optional prec))
+(declare-function math-simplify "calc-alg" (top-expr))
+(declare-function math-simplify-extended "calc-alg" (a))
+(declare-function math-simplify-units "calc-units" (a))
+(declare-function calc-set-language "calc-lang" (lang &optional option no-refresh))
+(declare-function calc-flush-caches "calc-stuff" (&optional inhibit-msg))
+(declare-function calc-save-modes "calc-mode" ())
+(declare-function calc-embedded-modes-change "calc-embed" (vars))
+(declare-function calc-embedded-var-change "calc-embed" (var &optional buf))
+(declare-function math-mul-float "calc-arith" (a b))
+(declare-function math-arctan-raw "calc-math" (x))
+(declare-function math-sqrt-float "calc-math" (a &optional guess))
+(declare-function math-exp-minus-1-raw "calc-math" (x))
+(declare-function math-normalize-polar "calc-cplx" (a))
+(declare-function math-normalize-hms "calc-forms" (a))
+(declare-function math-normalize-mod "calc-forms" (a))
+(declare-function math-make-sdev "calc-forms" (x sigma))
+(declare-function math-make-intv "calc-forms" (mask lo hi))
+(declare-function math-normalize-logical-op "calc-prog" (a))
+(declare-function math-possible-signs "calc-arith" (a &optional origin))
+(declare-function math-infinite-dir "calc-math" (a &optional inf))
+(declare-function math-calcFunc-to-var "calc-map" (f))
+(declare-function calc-embedded-evaluate-expr "calc-embed" (x))
+(declare-function math-known-nonzerop "calc-arith" (a))
+(declare-function math-read-expr-level "calc-aent" (exp-prec &optional exp-term))
+(declare-function math-read-big-rec "calc-lang" (math-rb-h1 math-rb-v1 math-rb-h2 math-rb-v2))
+(declare-function math-read-big-balance "calc-lang" (h v what &optional commas))
+(declare-function math-format-date "calc-forms" (math-fd-date))
+(declare-function math-vector-is-string "calccomp" (a))
+(declare-function math-vector-to-string "calccomp" (a &optional quoted))
+(declare-function math-format-radix-float "calc-bin" (a prec))
+(declare-function math-compose-expr "calccomp" (a prec))
+(declare-function math-abs "calc-arith" (a))
+(declare-function math-format-bignum-binary "calc-bin" (a))
+(declare-function math-format-bignum-octal "calc-bin" (a))
+(declare-function math-format-bignum-hex "calc-bin" (a))
+(declare-function math-format-bignum-radix "calc-bin" (a))
+(declare-function math-compute-max-digits "calc-bin" (w r))
+
+
(defvar math-simplifying nil)
(defvar math-living-dangerously nil) ; true if unsafe simplifications are okay.
(defvar math-integrating nil)
(defvar math-comp-sel-cpos nil)
(defvar math-compose-hash-args nil)
+(defvar calc-alg-map)
+(defvar calc-alg-esc-map)
+
;;; The following was made a function so that it could be byte-compiled.
(defun calc-init-extensions ()
(calc-init-prefixes)
- (mapcar (function
- (lambda (x)
- (define-key calc-mode-map (format "c%c" x) 'calc-clean-num)
- (define-key calc-mode-map (format "j%c" x) 'calc-select-part)
- (define-key calc-mode-map (format "r%c" x) 'calc-recall-quick)
- (define-key calc-mode-map (format "s%c" x) 'calc-store-quick)
- (define-key calc-mode-map (format "t%c" x) 'calc-store-into-quick)
- (define-key calc-mode-map (format "u%c" x) 'calc-quick-units)))
- "0123456789")
+ (mapc (function
+ (lambda (x)
+ (define-key calc-mode-map (format "c%c" x) 'calc-clean-num)
+ (define-key calc-mode-map (format "j%c" x) 'calc-select-part)
+ (define-key calc-mode-map (format "r%c" x) 'calc-recall-quick)
+ (define-key calc-mode-map (format "s%c" x) 'calc-store-quick)
+ (define-key calc-mode-map (format "t%c" x) 'calc-store-into-quick)
+ (define-key calc-mode-map (format "u%c" x) 'calc-quick-units)))
+ "0123456789")
(let ((i ?A))
(while (<= i ?z)
(cons 'keymap (cons (cons ?\e (aref (nth 1 calc-mode-map) i))
(cdr (aref (nth 1 calc-mode-map) i))))))
(setq i (1+ i))))
-
+
(setq calc-alg-map (copy-keymap calc-mode-map)
calc-alg-esc-map (copy-keymap esc-map))
(let ((i 32))
(define-key calc-alg-map "\e\177" 'calc-pop-above)
;;;; (Autoloads here)
- (mapcar (function (lambda (x)
+ (mapc (function (lambda (x)
(mapcar (function (lambda (func)
(autoload func (car x)))) (cdr x))))
'(
("calc-alg" calc-has-rules math-defsimplify
calc-modify-simplify-mode calcFunc-collect calcFunc-esimplify
calcFunc-islin calcFunc-islinnt calcFunc-lin calcFunc-linnt
-calcFunc-simplify calcFunc-subst math-beforep
+calcFunc-simplify calcFunc-subst calcFunc-powerexpand math-beforep
math-build-polynomial-expr math-expand-formula math-expr-contains
math-expr-contains-count math-expr-depends math-expr-height
math-expr-subst math-expr-weight math-integer-plus math-is-linear
calcFunc-dpos calcFunc-drange calcFunc-drat calcFunc-dreal
calcFunc-dscalar calcFunc-fceil calcFunc-ffloor calcFunc-float
calcFunc-fround calcFunc-frounde calcFunc-froundu calcFunc-ftrunc
-calcFunc-idiv calcFunc-incr calcFunc-mant calcFunc-max calcFunc-min
+calcFunc-idiv calcFunc-incr calcFunc-ldiv calcFunc-mant calcFunc-max calcFunc-min
calcFunc-mod calcFunc-mul calcFunc-neg calcFunc-percent calcFunc-pow
calcFunc-relch calcFunc-round calcFunc-rounde calcFunc-roundu
calcFunc-scf calcFunc-sub calcFunc-xpon math-abs math-abs-approx
("calc-alg" calc-alg-evaluate calc-apart calc-collect calc-expand
calc-expand-formula calc-factor calc-normalize-rat calc-poly-div
calc-poly-div-rem calc-poly-gcd calc-poly-rem calc-simplify
-calc-simplify-extended calc-substitute)
+calc-simplify-extended calc-substitute calc-powerexpand)
("calcalg2" calc-alt-summation calc-derivative
calc-dump-integral-cache calc-integral calc-num-integral
calc-cot calc-coth calc-csc calc-csch
calc-degrees-mode calc-exp calc-expm1 calc-hypot calc-ilog
calc-imaginary calc-isqrt calc-ln calc-lnp1 calc-log calc-log10
-calc-pi calc-radians-mode calc-sec calc-sech
+calc-pi calc-radians-mode calc-sec calc-sech
calc-sin calc-sincos calc-sinh calc-sqrt
calc-tan calc-tanh calc-to-degrees calc-to-radians)
(math-normalize val)))))
+(defvar calc-help-map nil)
-(if (boundp 'calc-help-map)
+(if calc-help-map
nil
(setq calc-help-map (make-keymap))
(define-key calc-help-map "b" 'calc-describe-bindings)
calc-redo-list nil)
(let (calc-stack calc-user-parse-tables calc-standard-date-formats
calc-invocation-macro)
- (mapcar (function (lambda (v) (set v nil))) calc-local-var-list)
+ (mapc (function (lambda (v) (set v nil))) calc-local-var-list)
(if (and arg (<= arg 0))
(calc-mode-var-list-restore-default-values)
(calc-mode-var-list-restore-saved-values)))
(with-current-buffer calc-main-buffer
calc-hyperbolic-flag)
calc-hyperbolic-flag))
- (msg (if hyp-flag
+ (msg (if hyp-flag
"Inverse Hyperbolic..."
"Inverse...")))
(calc-fancy-prefix 'calc-inverse-flag msg n)))
(with-current-buffer calc-main-buffer
calc-inverse-flag)
calc-inverse-flag))
- (msg (if inv-flag
+ (msg (if inv-flag
"Inverse Hyperbolic..."
"Hyperbolic...")))
(calc-fancy-prefix 'calc-hyperbolic-flag msg n)))
;;; User menu.
(defun calc-user-key-map ()
- (if calc-emacs-type-lucid
- (error "User-defined keys are not supported in Lucid Emacs"))
+ (if (featurep 'xemacs)
+ (error "User-defined keys are not supported in XEmacs"))
(let ((res (cdr (lookup-key calc-mode-map "z"))))
(if (eq (car (car res)) 27)
(cdr res)
(setq calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
desc))
(if (> (+ (length calc-z-prefix-buf) (length desc)) 58)
- (setq calc-z-prefix-msgs
+ (setq calc-z-prefix-msgs
(cons calc-z-prefix-buf calc-z-prefix-msgs)
calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
desc))
(last-prec (intern (concat (symbol-name name) "-last-prec")))
(last-val (intern (concat (symbol-name name) "-last"))))
(list 'progn
- (list 'defvar cache-prec (if init (math-numdigs (nth 1 init)) -100))
- (list 'defvar cache-val (list 'quote init))
+; (list 'defvar cache-prec (if init (math-numdigs (nth 1 init)) -100))
+ (list 'defvar cache-prec
+ `(cond
+ ((consp ,init) (math-numdigs (nth 1 ,init)))
+ (,init
+ (nth 1 (math-numdigs (eval ,init))))
+ (t
+ -100)))
+ (list 'defvar cache-val
+ `(cond
+ ((consp ,init) ,init)
+ (,init (eval ,init))
+ (t ,init)))
(list 'defvar last-prec -100)
(list 'defvar last-val nil)
(list 'setq 'math-cache-list
(put 'math-defcache 'lisp-indent-hook 2)
;;; Betcha didn't know that pi = 16 atan(1/5) - 4 atan(1/239). [F] [Public]
-(math-defcache math-pi (float (bigpos 463 238 793 589 653 592 141 3) -21)
+(defconst math-approx-pi
+ (math-read-number-simple "3.141592653589793238463")
+ "An approximation for pi.")
+
+(math-defcache math-pi math-approx-pi
(math-add-float (math-mul-float '(float 16 0)
(math-arctan-raw '(float 2 -1)))
(math-mul-float '(float -4 0)
(math-defcache math-sqrt-two-pi nil
(math-sqrt-float (math-two-pi)))
-(math-defcache math-sqrt-e (float (bigpos 849 146 128 700 270 721 648 1) -21)
+(defconst math-approx-sqrt-e
+ (math-read-number-simple "1.648721270700128146849")
+ "An approximation for sqrt(3).")
+
+(math-defcache math-sqrt-e math-approx-sqrt-e
(math-add-float '(float 1 0) (math-exp-minus-1-raw '(float 5 -1))))
(math-defcache math-e nil
(math-mul-float (math-add-float (math-sqrt-raw '(float 5 0)) '(float 1 0))
'(float 5 -1)))
+(defconst math-approx-gamma-const
+ (math-read-number-simple
+ "0.5772156649015328606065120900824024310421593359399235988057672348848677267776646709369470632917467495")
+ "An approximation for gamma.")
+
(math-defcache math-gamma-const nil
- '(float (bigpos 495 467 917 632 470 369 709 646 776 267 677 848 348 672
- 057 988 235 399 359 593 421 310 024 824 900 120 065 606
- 328 015 649 156 772 5) -100))
+ math-approx-gamma-const)
(defun math-half-circle (symb)
(if (eq calc-angle-mode 'rad)
(and (cdr dims)
(= (car dims) (nth 1 dims)))))
+;;; True if MAT is an identity matrix.
+(defun math-identity-matrix-p (mat &optional mul)
+ (if (math-square-matrixp mat)
+ (let ((a (if mul
+ (nth 1 (nth 1 mat))
+ 1))
+ (n (1- (length mat)))
+ (i 1))
+ (while (and (<= i n)
+ (math-ident-row-p (nth i mat) i a))
+ (setq i (1+ i)))
+ (if (> i n)
+ a
+ nil))))
+
+(defun math-ident-row-p (row n &optional a)
+ (unless a
+ (setq a 1))
+ (and
+ (not (memq nil (mapcar
+ (lambda (x) (eq x 0))
+ (nthcdr (1+ n) row))))
+ (not (memq nil (mapcar
+ (lambda (x) (eq x 0))
+ (butlast
+ (cdr row)
+ (- (length row) n)))))
+ (eq (elt row n) a)))
+
;;; True if A is any scalar data object. [P x]
(defun math-objectp (a) ; [Public]
(or (integerp a)
a
(math-reject-arg a 'constp)))
+;;; Some functions for working with error forms.
+(defun math-get-value (x)
+ "Get the mean value of the error form X.
+If X is not an error form, return X."
+ (if (eq (car-safe x) 'sdev)
+ (nth 1 x)
+ x))
+
+(defun math-get-sdev (x &optional one)
+ "Get the standard deviation of the error form X.
+If X is not an error form, return 1."
+ (if (eq (car-safe x) 'sdev)
+ (nth 2 x)
+ (if one 1 0)))
+
+(defun math-contains-sdev-p (ls)
+ "Non-nil if the list LS contains an error form."
+ (let ((ls (if (eq (car-safe ls) 'vec) (cdr ls) ls)))
+ (memq t (mapcar (lambda (x) (eq (car-safe x) 'sdev)) ls))))
;;; Coerce integer A to be a small integer. [S I]
(defun math-fixnum (a)
(defun math-fixnum-big (a)
(if (cdr a)
- (+ (car a) (* (math-fixnum-big (cdr a)) 1000))
+ (+ (car a) (* (math-fixnum-big (cdr a)) math-bignum-digit-size))
(car a)))
(defvar math-simplify-only nil)
(and (symbolp (car math-normalize-a))
(or (eq calc-simplify-mode 'none)
(and (eq calc-simplify-mode 'num)
- (let ((aptr (setq math-normalize-a
+ (let ((aptr (setq math-normalize-a
(cons
(car math-normalize-a)
- (mapcar 'math-normalize
+ (mapcar 'math-normalize
(cdr math-normalize-a))))))
(while (and aptr (math-constp (car aptr)))
(setq aptr (cdr aptr)))
aptr)))
- (cons (car math-normalize-a)
+ (cons (car math-normalize-a)
(mapcar 'math-normalize (cdr math-normalize-a))))))
(setq mmt-nextval (funcall math-mt-func mmt-expr))
(not (equal mmt-expr mmt-nextval)))
(setq mmt-expr mmt-nextval
- math-mt-many (if (> math-mt-many 0)
- (1- math-mt-many)
+ math-mt-many (if (> math-mt-many 0)
+ (1- math-mt-many)
(1+ math-mt-many))))
(if (or (Math-primp mmt-expr)
(<= math-mt-many 0))
(defun math-read-plain-expr (exp-str &optional error-check)
(let* ((calc-language nil)
- (math-expr-opers math-standard-opers)
+ (math-expr-opers (math-standard-ops))
(val (math-read-expr exp-str)))
(and error-check
(eq (car-safe val) 'error)
math-read-big-baseline math-read-big-h2
new-pos p)
(while (setq new-pos (string-match "\n" str pos))
- (setq math-read-big-lines
+ (setq math-read-big-lines
(cons (substring str pos new-pos) math-read-big-lines)
pos (1+ new-pos)))
- (setq math-read-big-lines
+ (setq math-read-big-lines
(nreverse (cons (substring str pos) math-read-big-lines))
p math-read-big-lines)
(while p
(concat (substring (symbol-name (car a)) 9)
"(" (math-vector-to-string (nth 1 a) t) ")"))
(t
- (let ((op (math-assq2 (car a) math-standard-opers)))
+ (let ((op (math-assq2 (car a) (math-standard-ops))))
(cond ((and op (= (length a) 3))
(if (> prec (min (nth 2 op) (nth 3 op)))
(concat "(" (math-format-flat-expr a 0) ")")
HCoop / bpt / emacs.git / blobdiff