lisp/calc/calc-stuff.el

   1 ;;; calc-stuff.el --- miscellaneous functions for Calc
   2
   3 ;; Copyright (C) 1990-1993, 2001-2011 Free Software Foundation, Inc.
   4
   5 ;; Author: David Gillespie <daveg@synaptics.com>
   6 ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
   7
   8 ;; This file is part of GNU Emacs.
   9
  10 ;; GNU Emacs is free software: you can redistribute it and/or modify
  11 ;; it under the terms of the GNU General Public License as published by
  12 ;; the Free Software Foundation, either version 3 of the License, or
  13 ;; (at your option) any later version.
  14
  15 ;; GNU Emacs is distributed in the hope that it will be useful,
  16 ;; but WITHOUT ANY WARRANTY; without even the implied warranty of
  17 ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  18 ;; GNU General Public License for more details.
  19
  20 ;; You should have received a copy of the GNU General Public License
  21 ;; along with GNU Emacs.  If not, see <http://www.gnu.org/licenses/>.
  22
  23 ;;; Commentary:
  24
  25 ;;; Code:
  26
  27 ;; This file is autoloaded from calc-ext.el.
  28
  29 (require 'calc-ext)
  30 (require 'calc-macs)
  31
  32 (defun calc-num-prefix (n)
  33   "Use the number at the top of stack as the numeric prefix for the next command.
  34 With a prefix, push that prefix as a number onto the stack."
  35   (interactive "P")
  36   (calc-wrapper
  37    (if n
  38        (calc-enter-result 0 "" (prefix-numeric-value n))
  39      (let ((num (calc-top 1)))
  40        (if (math-messy-integerp num)
  41            (setq num (math-trunc num)))
  42        (or (integerp num)
  43            (error "Argument must be a small integer"))
  44        (calc-pop-stack 1)
  45        (setq prefix-arg num)
  46        (message "%d-" num)))))    ; a (lame) simulation of the real thing...
  47
  48
  49 (defun calc-more-recursion-depth (n)
  50   (interactive "P")
  51   (calc-wrapper
  52    (if (calc-is-inverse)
  53        (calc-less-recursion-depth n)
  54      (let ((n (if n (prefix-numeric-value n) 2)))
  55        (if (> n 1)
  56            (setq max-specpdl-size (* max-specpdl-size n)
  57                  max-lisp-eval-depth (* max-lisp-eval-depth n))))
  58      (message "max-lisp-eval-depth is now %d" max-lisp-eval-depth))))
  59
  60 (defun calc-less-recursion-depth (n)
  61   (interactive "P")
  62   (let ((n (if n (prefix-numeric-value n) 2)))
  63     (if (> n 1)
  64         (setq max-specpdl-size
  65               (max (/ max-specpdl-size n) 600)
  66               max-lisp-eval-depth
  67               (max (/ max-lisp-eval-depth n) 200))))
  68   (message "max-lisp-eval-depth is now %d" max-lisp-eval-depth))
  69
  70
  71 (defvar calc-which-why nil)
  72 (defvar calc-last-why-command nil)
  73 (defun calc-explain-why (why &optional more)
  74   (if (eq (car why) '*)
  75       (setq why (cdr why)))
  76   (let* ((pred (car why))
  77          (arg (nth 1 why))
  78          (msg (cond ((not pred) "Wrong type of argument")
  79                     ((stringp pred) pred)
  80                     ((eq pred 'integerp) "Integer expected")
  81                     ((eq pred 'natnump)
  82                      (if (and arg (Math-objvecp arg) (not (Math-integerp arg)))
  83                          "Integer expected"
  84                        "Nonnegative integer expected"))
  85                     ((eq pred 'posintp)
  86                      (if (and arg (Math-objvecp arg) (not (Math-integerp arg)))
  87                          "Integer expected"
  88                        "Positive integer expected"))
  89                     ((eq pred 'fixnump)
  90                      (if (and arg (Math-integerp arg))
  91                          "Small integer expected"
  92                        "Integer expected"))
  93                     ((eq pred 'fixnatnump)
  94                      (if (and arg (Math-natnump arg))
  95                          "Small integer expected"
  96                        (if (and arg (Math-objvecp arg)
  97                                 (not (Math-integerp arg)))
  98                            "Integer expected"
  99                          "Nonnegative integer expected")))
 100                     ((eq pred 'fixposintp)
 101                      (if (and arg (Math-integerp arg) (Math-posp arg))
 102                          "Small integer expected"
 103                        (if (and arg (Math-objvecp arg)
 104                                 (not (Math-integerp arg)))
 105                            "Integer expected"
 106                          "Positive integer expected")))
 107                     ((eq pred 'posp) "Positive number expected")
 108                     ((eq pred 'negp) "Negative number expected")
 109                     ((eq pred 'nonzerop) "Nonzero number expected")
 110                     ((eq pred 'realp) "Real number expected")
 111                     ((eq pred 'anglep) "Real number expected")
 112                     ((eq pred 'hmsp) "HMS form expected")
 113                     ((eq pred 'datep)
 114                      (if (and arg (Math-objectp arg)
 115                               (not (Math-realp arg)))
 116                          "Real number or date form expected"
 117                        "Date form expected"))
 118                     ((eq pred 'numberp) "Number expected")
 119                     ((eq pred 'scalarp) "Number expected")
 120                     ((eq pred 'vectorp) "Vector or matrix expected")
 121                     ((eq pred 'numvecp) "Number or vector expected")
 122                     ((eq pred 'matrixp) "Matrix expected")
 123                     ((eq pred 'square-matrixp)
 124                      (if (and arg (math-matrixp arg))
 125                          "Square matrix expected"
 126                        "Matrix expected"))
 127                     ((eq pred 'objectp) "Number expected")
 128                     ((eq pred 'constp) "Constant expected")
 129                     ((eq pred 'range) "Argument out of range")
 130                     (t (format "%s expected" pred))))
 131          (punc ": ")
 132          (calc-can-abbrev-vectors t))
 133     (while (setq why (cdr why))
 134       (and (car why)
 135            (setq msg (concat msg punc (if (stringp (car why))
 136                                           (car why)
 137                                         (math-format-flat-expr (car why) 0)))
 138                  punc ", ")))
 139     (message "%s%s" msg (if more "  [w=more]" ""))))
 140
 141 (defun calc-why ()
 142   (interactive)
 143   (if (not (eq this-command last-command))
 144       (if (eq last-command calc-last-why-command)
 145           (setq calc-which-why (cdr calc-why))
 146         (setq calc-which-why calc-why)))
 147   (if calc-which-why
 148       (progn
 149         (calc-explain-why (car calc-which-why) (cdr calc-which-why))
 150         (setq calc-which-why (cdr calc-which-why)))
 151     (if calc-why
 152         (progn
 153           (message "(No further explanations available)")
 154           (setq calc-which-why calc-why))
 155       (message "No explanations available"))))
 156
 157 ;; The following caches are declared in other files, but are
 158 ;; reset here.
 159 (defvar math-lud-cache) ; calc-mtx.el
 160 (defvar math-log2-cache) ; calc-bin.el
 161 (defvar math-radix-digits-cache) ; calc-bin.el
 162 (defvar math-radix-float-cache-tag) ; calc-bin.el
 163 (defvar math-random-cache) ; calc-comb.el
 164 (defvar math-max-digits-cache) ; calc-bin.el
 165 (defvar math-integral-cache) ; calcalg2.el
 166 (defvar math-units-table) ; calc-units.el
 167 (defvar math-decls-cache-tag) ; calc-arith.el
 168 (defvar math-format-date-cache) ; calc-forms.el
 169 (defvar math-holidays-cache-tag) ; calc-forms.el
 170
 171 (defun calc-flush-caches (&optional inhibit-msg)
 172   (interactive "P")
 173   (calc-wrapper
 174    (setq math-lud-cache nil
 175          math-log2-cache nil
 176          math-radix-digits-cache nil
 177          math-radix-float-cache-tag nil
 178          math-random-cache nil
 179          math-max-digits-cache nil
 180          math-integral-cache nil
 181          math-units-table nil
 182          math-decls-cache-tag nil
 183          math-eval-rules-cache-tag t
 184          math-format-date-cache nil
 185          math-holidays-cache-tag t)
 186    (mapc (function (lambda (x) (set x -100))) math-cache-list)
 187    (unless inhibit-msg
 188      (message "All internal calculator caches have been reset"))))
 189
 190
 191 ;;; Conversions.
 192
 193 (defun calc-clean (n)
 194   (interactive "P")
 195   (calc-slow-wrapper
 196    (calc-with-default-simplification
 197     (let ((func (if (calc-is-hyperbolic) 'calcFunc-clean 'calcFunc-pclean)))
 198       (calc-enter-result 1 "cln"
 199                          (if n
 200                              (let ((n (prefix-numeric-value n)))
 201                                (list func
 202                                      (calc-top-n 1)
 203                                      (if (<= n 0)
 204                                          (+ n calc-internal-prec)
 205                                        n)))
 206                            (list func (calc-top-n 1))))))))
 207
 208 (defun calc-clean-num (num)
 209   (interactive "P")
 210   (calc-clean (- (if num
 211                      (prefix-numeric-value num)
 212                    (if (and (>= last-command-event ?0)
 213                             (<= last-command-event ?9))
 214                        (- last-command-event ?0)
 215                      (error "Number required"))))))
 216
 217
 218 (defvar math-chopping-small nil)
 219 (defun calcFunc-clean (a &optional prec)   ; [X X S] [Public]
 220   (if prec
 221       (cond ((Math-messy-integerp prec)
 222              (calcFunc-clean a (math-trunc prec)))
 223             ((or (not (integerp prec))
 224                  (< prec 3))
 225              (calc-record-why "*Precision must be an integer 3 or above")
 226              (list 'calcFunc-clean a prec))
 227             ((not (Math-objvecp a))
 228              (list 'calcFunc-clean a prec))
 229             (t (let ((calc-internal-prec prec)
 230                      (math-chopping-small t))
 231                  (calcFunc-clean (math-normalize a)))))
 232     (cond ((eq (car-safe a) 'polar)
 233            (let ((theta (math-mod (nth 2 a)
 234                                   (if (eq calc-angle-mode 'rad)
 235                                       (math-two-pi)
 236                                     360))))
 237              (math-neg
 238               (math-neg
 239                (math-normalize
 240                 (list 'polar
 241                       (calcFunc-clean (nth 1 a))
 242                       (calcFunc-clean theta)))))))
 243           ((memq (car-safe a) '(vec date hms))
 244            (cons (car a) (mapcar 'calcFunc-clean (cdr a))))
 245           ((memq (car-safe a) '(cplx mod sdev intv))
 246            (math-normalize (cons (car a) (mapcar 'calcFunc-clean (cdr a)))))
 247           ((eq (car-safe a) 'float)
 248            (if math-chopping-small
 249                (if (or (> (nth 2 a) (- calc-internal-prec))
 250                        (Math-lessp (- calc-internal-prec) (calcFunc-xpon a)))
 251                    (if (and (math-num-integerp a)
 252                             (math-lessp (calcFunc-xpon a) calc-internal-prec))
 253                        (math-trunc a)
 254                      a)
 255                  0)
 256              a))
 257           ((Math-objectp a) a)
 258           ((math-infinitep a) a)
 259           (t (list 'calcFunc-clean a)))))
 260
 261 (defun calcFunc-pclean (a &optional prec)
 262   (math-map-over-constants (function (lambda (x) (calcFunc-clean x prec)))
 263                            a))
 264
 265 (defun calcFunc-pfloat (a)
 266   (math-map-over-constants 'math-float a))
 267
 268 (defun calcFunc-pfrac (a &optional tol)
 269   (math-map-over-constants (function (lambda (x) (calcFunc-frac x tol)))
 270                            a))
 271
 272 ;; The variable math-moc-func is local to math-map-over-constants,
 273 ;; but is used by math-map-over-constants-rec, which is called by
 274 ;; math-map-over-constants.
 275 (defvar math-moc-func)
 276
 277 (defun math-map-over-constants (math-moc-func expr)
 278   (math-map-over-constants-rec expr))
 279
 280 (defun math-map-over-constants-rec (expr)
 281   (cond ((or (Math-primp expr)
 282              (memq (car expr) '(intv sdev)))
 283          (or (and (Math-objectp expr)
 284                   (funcall math-moc-func expr))
 285              expr))
 286         ((and (memq (car expr) '(^ calcFunc-subscr))
 287               (eq math-moc-func 'math-float)
 288               (= (length expr) 3)
 289               (Math-integerp (nth 2 expr)))
 290          (list (car expr)
 291                (math-map-over-constants-rec (nth 1 expr))
 292                (nth 2 expr)))
 293         (t (cons (car expr) (mapcar 'math-map-over-constants-rec (cdr expr))))))
 294
 295 (provide 'calc-stuff)
 296
 297 ;;; calc-stuff.el ends here