;; This file is part of GNU Emacs.
-;; GNU Emacs is free software; you can redistribute it and/or modify
+;; 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.
+;; the Free Software Foundation, either version 3 of the License, or
+;; (at your option) any later version.
;; GNU Emacs is distributed in the hope that it will be useful,
;; but WITHOUT ANY WARRANTY; without even the implied warranty of
;; 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.
+;; along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>.
;;; Commentary:
(t (calc-record-why 'scalarp x)
(list 'calcFunc-cot x))))
-(defun math-sin-raw (x) ; [N N]
+(defun math-sin-raw (x &optional orgx) ; [N N]
(cond ((eq (car x) 'cplx)
(let* ((expx (math-exp-raw (nth 2 x)))
(expmx (math-div-float '(float 1 0) expx))
((eq (car x) 'polar)
(math-polar (math-sin-raw (math-complex x))))
((Math-integer-negp (nth 1 x))
- (math-neg-float (math-sin-raw (math-neg-float x))))
+ (math-neg-float (math-sin-raw (math-neg-float x) (if orgx orgx x))))
((math-lessp-float '(float 7 0) x) ; avoid inf loops due to roundoff
- (math-sin-raw (math-mod x (math-two-pi))))
- (t (math-sin-raw-2 x x))))
+ (math-sin-raw (math-mod x (math-two-pi)) (if orgx orgx x)))
+ (t (math-sin-raw-2 x (if orgx orgx x)))))
(defun math-cos-raw (x) ; [N N]
(if (eq (car-safe x) 'polar)
(math-polar (math-cos-raw (math-complex x)))
- (math-sin-raw (math-sub (math-pi-over-2) x))))
+ (math-sin-raw (math-sub (math-pi-over-2) x) x)))
(defun math-sec-raw (x) ; [N N]
(cond ((eq (car x) 'cplx)
(math-cos-raw-2 xmpo2 orgx))
((math-lessp-float x (math-neg (math-pi-over-4)))
(math-neg (math-cos-raw-2 (math-add (math-pi-over-2) x) orgx)))
- ((math-nearly-zerop-float x orgx) '(float 0 0))
+ ((math-with-extra-prec -1 (math-nearly-zerop-float x orgx))
+ '(float 0 0))
((math-use-emacs-fn 'sin x))
(calc-symbolic-mode (signal 'inexact-result nil))
(t (math-sin-series x 6 4 x (math-neg-float (math-sqr-float x)))))))
(defun math-cos-raw-2 (x orgx) ; [F F]
- (cond ((math-nearly-zerop-float x orgx) '(float 1 0))
+ (cond ((math-with-extra-prec -1 (math-nearly-zerop-float x orgx))
+ '(float 1 0))
((math-use-emacs-fn 'cos x))
(calc-symbolic-mode (signal 'inexact-result nil))
(t (let ((xnegsqr (math-neg-float (math-sqr-float x))))
(provide 'calc-math)
-;;; arch-tag: c7367e8e-d0b8-4f70-8577-2fb3f31dbb4c
+;; arch-tag: c7367e8e-d0b8-4f70-8577-2fb3f31dbb4c
;;; calc-math.el ends here