(math-sin-raw): Add optional argument to keep track of
original argument. (math-cos-raw): Use optional argument when calling math-sin-raw. (math-sin-raw-2, math-cos-raw-2): Check for a zero argument with close to original precision.
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2 changed files with 18 additions and 7 deletions
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@ -1,3 +1,12 @@
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2008-02-20 Jay Belanger <jay.p.belanger@gmail.com>
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* calc/calc-math.el (math-sin-raw): Add optional argument
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to keep track of original argument.
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(math-cos-raw): Use optional argument when calling
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math-sin-raw.
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(math-sin-raw-2, math-cos-raw-2): Check for a zero argument
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with close to original precision.
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2008-02-20 Roland Winkler <Roland.Winkler@physik.uni-erlangen.de>
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* textmodes/bibtex.el (bibtex-convert-alien): Do not use optional
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@ -1074,7 +1074,7 @@ If this can't be done, return NIL."
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(t (calc-record-why 'scalarp x)
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(list 'calcFunc-cot x))))
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(defun math-sin-raw (x) ; [N N]
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(defun math-sin-raw (x &optional orgx) ; [N N]
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(cond ((eq (car x) 'cplx)
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(let* ((expx (math-exp-raw (nth 2 x)))
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(expmx (math-div-float '(float 1 0) expx))
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@ -1089,15 +1089,15 @@ If this can't be done, return NIL."
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((eq (car x) 'polar)
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(math-polar (math-sin-raw (math-complex x))))
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((Math-integer-negp (nth 1 x))
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(math-neg-float (math-sin-raw (math-neg-float x))))
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(math-neg-float (math-sin-raw (math-neg-float x) (if orgx orgx x))))
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((math-lessp-float '(float 7 0) x) ; avoid inf loops due to roundoff
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(math-sin-raw (math-mod x (math-two-pi))))
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(t (math-sin-raw-2 x x))))
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(math-sin-raw (math-mod x (math-two-pi)) (if orgx orgx x)))
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(t (math-sin-raw-2 x (if orgx orgx x)))))
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(defun math-cos-raw (x) ; [N N]
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(if (eq (car-safe x) 'polar)
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(math-polar (math-cos-raw (math-complex x)))
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(math-sin-raw (math-sub (math-pi-over-2) x))))
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(math-sin-raw (math-sub (math-pi-over-2) x) x)))
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(defun math-sec-raw (x) ; [N N]
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(cond ((eq (car x) 'cplx)
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@ -1216,13 +1216,15 @@ If this can't be done, return NIL."
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(math-cos-raw-2 xmpo2 orgx))
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((math-lessp-float x (math-neg (math-pi-over-4)))
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(math-neg (math-cos-raw-2 (math-add (math-pi-over-2) x) orgx)))
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((math-nearly-zerop-float x orgx) '(float 0 0))
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((math-with-extra-prec -1 (math-nearly-zerop-float x orgx))
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'(float 0 0))
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((math-use-emacs-fn 'sin x))
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(calc-symbolic-mode (signal 'inexact-result nil))
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(t (math-sin-series x 6 4 x (math-neg-float (math-sqr-float x)))))))
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(defun math-cos-raw-2 (x orgx) ; [F F]
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(cond ((math-nearly-zerop-float x orgx) '(float 1 0))
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(cond ((math-with-extra-prec -1 (math-nearly-zerop-float x orgx))
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'(float 1 0))
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((math-use-emacs-fn 'cos x))
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(calc-symbolic-mode (signal 'inexact-result nil))
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(t (let ((xnegsqr (math-neg-float (math-sqr-float x))))
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