code.delx.au - gnu-emacs/blob - lisp/calc/calc-stuff.el

   1 ;;; calc-stuff.el --- miscellaneous functions for Calc
   2
   3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004,
   4 ;;   2005, 2006, 2007, 2008 Free Software Foundation, Inc.
   5
   6 ;; Author: David Gillespie <daveg@synaptics.com>
   7 ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
   8
   9 ;; This file is part of GNU Emacs.
  10
  11 ;; GNU Emacs is free software: you can redistribute it and/or modify
  12 ;; it under the terms of the GNU General Public License as published by
  13 ;; the Free Software Foundation, either version 3 of the License, or
  14 ;; (at your option) any later version.
  15
  16 ;; GNU Emacs is distributed in the hope that it will be useful,
  17 ;; but WITHOUT ANY WARRANTY; without even the implied warranty of
  18 ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  19 ;; GNU General Public License for more details.
  20
  21 ;; You should have received a copy of the GNU General Public License
  22 ;; along with GNU Emacs.  If not, see <http://www.gnu.org/licenses/>.
  23
  24 ;;; Commentary:
  25
  26 ;;; Code:
  27
  28 ;; This file is autoloaded from calc-ext.el.
  29
  30 (require 'calc-ext)
  31 (require 'calc-macs)
  32
  33 (defun calc-num-prefix (n)
  34   "Use the number at the top of stack as the numeric prefix for the next command.
  35 With a prefix, push that prefix as a number onto the stack."
  36   (interactive "P")
  37   (calc-wrapper
  38    (if n
  39        (calc-enter-result 0 "" (prefix-numeric-value n))
  40      (let ((num (calc-top 1)))
  41        (if (math-messy-integerp num)
  42            (setq num (math-trunc num)))
  43        (or (integerp num)
  44            (error "Argument must be a small integer"))
  45        (calc-pop-stack 1)
  46        (setq prefix-arg num)
  47        (message "%d-" num)))))    ; a (lame) simulation of the real thing...
  48
  49
  50 (defun calc-more-recursion-depth (n)
  51   (interactive "P")
  52   (calc-wrapper
  53    (if (calc-is-inverse)
  54        (calc-less-recursion-depth n)
  55      (let ((n (if n (prefix-numeric-value n) 2)))
  56        (if (> n 1)
  57            (setq max-specpdl-size (* max-specpdl-size n)
  58                  max-lisp-eval-depth (* max-lisp-eval-depth n))))
  59      (message "max-lisp-eval-depth is now %d" max-lisp-eval-depth))))
  60
  61 (defun calc-less-recursion-depth (n)
  62   (interactive "P")
  63   (let ((n (if n (prefix-numeric-value n) 2)))
  64     (if (> n 1)
  65         (setq max-specpdl-size
  66               (max (/ max-specpdl-size n) 600)
  67               max-lisp-eval-depth
  68               (max (/ max-lisp-eval-depth n) 200))))
  69   (message "max-lisp-eval-depth is now %d" max-lisp-eval-depth))
  70
  71
  72 (defvar calc-which-why nil)
  73 (defvar calc-last-why-command nil)
  74 (defun calc-explain-why (why &optional more)
  75   (if (eq (car why) '*)
  76       (setq why (cdr why)))
  77   (let* ((pred (car why))
  78          (arg (nth 1 why))
  79          (msg (cond ((not pred) "Wrong type of argument")
  80                     ((stringp pred) pred)
  81                     ((eq pred 'integerp) "Integer expected")
  82                     ((eq pred 'natnump)
  83                      (if (and arg (Math-objvecp arg) (not (Math-integerp arg)))
  84                          "Integer expected"
  85                        "Nonnegative integer expected"))
  86                     ((eq pred 'posintp)
  87                      (if (and arg (Math-objvecp arg) (not (Math-integerp arg)))
  88                          "Integer expected"
  89                        "Positive integer expected"))
  90                     ((eq pred 'fixnump)
  91                      (if (and arg (Math-integerp arg))
  92                          "Small integer expected"
  93                        "Integer expected"))
  94                     ((eq pred 'fixnatnump)
  95                      (if (and arg (Math-natnump arg))
  96                          "Small integer expected"
  97                        (if (and arg (Math-objvecp arg)
  98                                 (not (Math-integerp arg)))
  99                            "Integer expected"
 100                          "Nonnegative integer expected")))
 101                     ((eq pred 'fixposintp)
 102                      (if (and arg (Math-integerp arg) (Math-posp arg))
 103                          "Small integer expected"
 104                        (if (and arg (Math-objvecp arg)
 105                                 (not (Math-integerp arg)))
 106                            "Integer expected"
 107                          "Positive integer expected")))
 108                     ((eq pred 'posp) "Positive number expected")
 109                     ((eq pred 'negp) "Negative number expected")
 110                     ((eq pred 'nonzerop) "Nonzero number expected")
 111                     ((eq pred 'realp) "Real number expected")
 112                     ((eq pred 'anglep) "Real number expected")
 113                     ((eq pred 'hmsp) "HMS form expected")
 114                     ((eq pred 'datep)
 115                      (if (and arg (Math-objectp arg)
 116                               (not (Math-realp arg)))
 117                          "Real number or date form expected"
 118                        "Date form expected"))
 119                     ((eq pred 'numberp) "Number expected")
 120                     ((eq pred 'scalarp) "Number expected")
 121                     ((eq pred 'vectorp) "Vector or matrix expected")
 122                     ((eq pred 'numvecp) "Number or vector expected")
 123                     ((eq pred 'matrixp) "Matrix expected")
 124                     ((eq pred 'square-matrixp)
 125                      (if (and arg (math-matrixp arg))
 126                          "Square matrix expected"
 127                        "Matrix expected"))
 128                     ((eq pred 'objectp) "Number expected")
 129                     ((eq pred 'constp) "Constant expected")
 130                     ((eq pred 'range) "Argument out of range")
 131                     (t (format "%s expected" pred))))
 132          (punc ": ")
 133          (calc-can-abbrev-vectors t))
 134     (while (setq why (cdr why))
 135       (and (car why)
 136            (setq msg (concat msg punc (if (stringp (car why))
 137                                           (car why)
 138                                         (math-format-flat-expr (car why) 0)))
 139                  punc ", ")))
 140     (message "%s%s" msg (if more "  [w=more]" ""))))
 141
 142 (defun calc-why ()
 143   (interactive)
 144   (if (not (eq this-command last-command))
 145       (if (eq last-command calc-last-why-command)
 146           (setq calc-which-why (cdr calc-why))
 147         (setq calc-which-why calc-why)))
 148   (if calc-which-why
 149       (progn
 150         (calc-explain-why (car calc-which-why) (cdr calc-which-why))
 151         (setq calc-which-why (cdr calc-which-why)))
 152     (if calc-why
 153         (progn
 154           (message "(No further explanations available)")
 155           (setq calc-which-why calc-why))
 156       (message "No explanations available"))))
 157
 158
 159 (defun calc-version ()
 160   (interactive)
 161   (message "Calc %s" calc-version))
 162
 163 ;; The following caches are declared in other files, but are
 164 ;; reset here.
 165 (defvar math-lud-cache) ; calc-mtx.el
 166 (defvar math-log2-cache) ; calc-bin.el
 167 (defvar math-radix-digits-cache) ; calc-bin.el
 168 (defvar math-radix-float-cache-tag) ; calc-bin.el
 169 (defvar math-random-cache) ; calc-comb.el
 170 (defvar math-max-digits-cache) ; calc-bin.el
 171 (defvar math-integral-cache) ; calcalg2.el
 172 (defvar math-units-table) ; calc-units.el
 173 (defvar math-decls-cache-tag) ; calc-arith.el
 174 (defvar math-format-date-cache) ; calc-forms.el
 175 (defvar math-holidays-cache-tag) ; calc-forms.el
 176
 177 (defun calc-flush-caches (&optional inhibit-msg)
 178   (interactive "P")
 179   (calc-wrapper
 180    (setq math-lud-cache nil
 181          math-log2-cache nil
 182          math-radix-digits-cache nil
 183          math-radix-float-cache-tag nil
 184          math-random-cache nil
 185          math-max-digits-cache nil
 186          math-integral-cache nil
 187          math-units-table nil
 188          math-decls-cache-tag nil
 189          math-eval-rules-cache-tag t
 190          math-format-date-cache nil
 191          math-holidays-cache-tag t)
 192    (mapc (function (lambda (x) (set x -100))) math-cache-list)
 193    (unless inhibit-msg
 194      (message "All internal calculator caches have been reset"))))
 195
 196
 197 ;;; Conversions.
 198
 199 (defun calc-clean (n)
 200   (interactive "P")
 201   (calc-slow-wrapper
 202    (calc-with-default-simplification
 203     (let ((func (if (calc-is-hyperbolic) 'calcFunc-clean 'calcFunc-pclean)))
 204       (calc-enter-result 1 "cln"
 205                          (if n
 206                              (let ((n (prefix-numeric-value n)))
 207                                (list func
 208                                      (calc-top-n 1)
 209                                      (if (<= n 0)
 210                                          (+ n calc-internal-prec)
 211                                        n)))
 212                            (list func (calc-top-n 1))))))))
 213
 214 (defun calc-clean-num (num)
 215   (interactive "P")
 216   (calc-clean (- (if num
 217                      (prefix-numeric-value num)
 218                    (if (and (>= last-command-char ?0)
 219                             (<= last-command-char ?9))
 220                        (- last-command-char ?0)
 221                      (error "Number required"))))))
 222
 223
 224 (defvar math-chopping-small nil)
 225 (defun calcFunc-clean (a &optional prec)   ; [X X S] [Public]
 226   (if prec
 227       (cond ((Math-messy-integerp prec)
 228              (calcFunc-clean a (math-trunc prec)))
 229             ((or (not (integerp prec))
 230                  (< prec 3))
 231              (calc-record-why "*Precision must be an integer 3 or above")
 232              (list 'calcFunc-clean a prec))
 233             ((not (Math-objvecp a))
 234              (list 'calcFunc-clean a prec))
 235             (t (let ((calc-internal-prec prec)
 236                      (math-chopping-small t))
 237                  (calcFunc-clean (math-normalize a)))))
 238     (cond ((eq (car-safe a) 'polar)
 239            (let ((theta (math-mod (nth 2 a)
 240                                   (if (eq calc-angle-mode 'rad)
 241                                       (math-two-pi)
 242                                     360))))
 243              (math-neg
 244               (math-neg
 245                (math-normalize
 246                 (list 'polar
 247                       (calcFunc-clean (nth 1 a))
 248                       (calcFunc-clean theta)))))))
 249           ((memq (car-safe a) '(vec date hms))
 250            (cons (car a) (mapcar 'calcFunc-clean (cdr a))))
 251           ((memq (car-safe a) '(cplx mod sdev intv))
 252            (math-normalize (cons (car a) (mapcar 'calcFunc-clean (cdr a)))))
 253           ((eq (car-safe a) 'float)
 254            (if math-chopping-small
 255                (if (or (> (nth 2 a) (- calc-internal-prec))
 256                        (Math-lessp (- calc-internal-prec) (calcFunc-xpon a)))
 257                    (if (and (math-num-integerp a)
 258                             (math-lessp (calcFunc-xpon a) calc-internal-prec))
 259                        (math-trunc a)
 260                      a)
 261                  0)
 262              a))
 263           ((Math-objectp a) a)
 264           ((math-infinitep a) a)
 265           (t (list 'calcFunc-clean a)))))
 266
 267 (defun calcFunc-pclean (a &optional prec)
 268   (math-map-over-constants (function (lambda (x) (calcFunc-clean x prec)))
 269                            a))
 270
 271 (defun calcFunc-pfloat (a)
 272   (math-map-over-constants 'math-float a))
 273
 274 (defun calcFunc-pfrac (a &optional tol)
 275   (math-map-over-constants (function (lambda (x) (calcFunc-frac x tol)))
 276                            a))
 277
 278 ;; The variable math-moc-func is local to math-map-over-constants,
 279 ;; but is used by math-map-over-constants-rec, which is called by
 280 ;; math-map-over-constants.
 281 (defvar math-moc-func)
 282
 283 (defun math-map-over-constants (math-moc-func expr)
 284   (math-map-over-constants-rec expr))
 285
 286 (defun math-map-over-constants-rec (expr)
 287   (cond ((or (Math-primp expr)
 288              (memq (car expr) '(intv sdev)))
 289          (or (and (Math-objectp expr)
 290                   (funcall math-moc-func expr))
 291              expr))
 292         ((and (memq (car expr) '(^ calcFunc-subscr))
 293               (eq math-moc-func 'math-float)
 294               (= (length expr) 3)
 295               (Math-integerp (nth 2 expr)))
 296          (list (car expr)
 297                (math-map-over-constants-rec (nth 1 expr))
 298                (nth 2 expr)))
 299         (t (cons (car expr) (mapcar 'math-map-over-constants-rec (cdr expr))))))
 300
 301 (provide 'calc-stuff)
 302
 303 ;; arch-tag: 789332ef-a178-49d3-8fb7-5d7ed7e21f56
 304 ;;; calc-stuff.el ends here