;; 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 2, or (at your option)
+;; 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,
(defun math-sqrt-raw (a &optional guess) ; [F F F]
(if (not (Math-posp a))
(math-sqrt a)
- (if (null guess)
- (let ((ldiff (- (math-numdigs (nth 1 a)) 6)))
- (or (= (% (+ (nth 2 a) ldiff) 2) 0) (setq ldiff (1+ ldiff)))
- (setq guess (math-make-float (math-isqrt-small
- (math-scale-int (nth 1 a) (- ldiff)))
- (/ (+ (nth 2 a) ldiff) 2)))))
- (math-sqrt-float-iter a guess)))
+ (cond
+ ((math-use-emacs-fn 'sqrt a))
+ (t
+ (if (null guess)
+ (let ((ldiff (- (math-numdigs (nth 1 a)) 6)))
+ (or (= (% (+ (nth 2 a) ldiff) 2) 0) (setq ldiff (1+ ldiff)))
+ (setq guess (math-make-float (math-isqrt-small
+ (math-scale-int (nth 1 a) (- ldiff)))
+ (/ (+ (nth 2 a) ldiff) 2)))))
+ (math-sqrt-float-iter a guess)))))
(defun math-sqrt-float-iter (a guess) ; [F F F]
(math-working "sqrt" guess)
((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-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))
+ ((math-use-emacs-fn 'cos x))
(calc-symbolic-mode (signal 'inexact-result nil))
(t (let ((xnegsqr (math-neg-float (math-sqr-float x))))
(math-sin-series
((Math-integer-negp (nth 1 x))
(math-neg-float (math-arctan-raw (math-neg-float x))))
((math-zerop x) x)
+ ((math-use-emacs-fn 'atan x))
(calc-symbolic-mode (signal 'inexact-result nil))
((math-equal-int x 1) (math-pi-over-4))
((math-equal-int x -1) (math-neg (math-pi-over-4)))
'(float 0 0))
(calc-symbolic-mode (signal 'inexact-result nil))
((math-posp (nth 1 x)) ; positive and real
- (let ((xdigs (1- (math-numdigs (nth 1 x)))))
- (math-add-float (math-ln-raw-2 (list 'float (nth 1 x) (- xdigs)))
- (math-mul-float (math-float (+ (nth 2 x) xdigs))
- (math-ln-10)))))
+ (cond
+ ((math-use-emacs-fn 'log x))
+ (t
+ (let ((xdigs (1- (math-numdigs (nth 1 x)))))
+ (math-add-float (math-ln-raw-2 (list 'float (nth 1 x) (- xdigs)))
+ (math-mul-float (math-float (+ (nth 2 x) xdigs))
+ (math-ln-10)))))))
((math-zerop x)
(math-reject-arg x "*Logarithm of zero"))
((eq calc-complex-mode 'polar) ; negative and real
(math-lnp1-series nextsum (1+ n) nextx x))))
(defconst math-approx-ln-10
- (eval-when-compile
- (math-read-number-simple "2.302585092994045684018"))
+ (math-read-number-simple "2.302585092994045684018")
"An approximation for ln(10).")
(math-defcache math-ln-10 math-approx-ln-10
(math-ln-raw-2 '(float 1 1)))
(defconst math-approx-ln-2
- (eval-when-compile
- (math-read-number-simple "0.693147180559945309417"))
+ (math-read-number-simple "0.693147180559945309417")
"An approximation for ln(2).")
(math-defcache math-ln-2 math-approx-ln-2