* calc/calc-ext.el (math-to-radians-2, math-from-radians-2):

  Add option to force `pi' to remain symbolic.
* calc/calcalg2.el (calcFunc-sin, calcFunc-cos, calcFunc-tan)
  (calcFunc-cot, calcFunc-csc, calcFunc-sec, calcFunc-arcsin)
  (calcFunc-arccos, calcFunc-arctan): Use symbolic `pi' in the
  derivatives, when necessary.

3 files changed, 22 insertions, 13 deletions

diff --git a/lisp/ChangeLog b/lisp/ChangeLog
index 1897e48d715..d596d4f6fb1 100644
--- a/lisp/ChangeLog
+++ b/lisp/ChangeLog
@@ -1,3 +1,12 @@
+2013-02-24  Jay Belanger  <jay.p.belanger@gmail.com>
+
+        * calc/calc-ext.el (math-to-radians-2, math-from-radians-2):
+        Add option to force `pi' to remain symbolic.
+        * calc/calcalg2.el (calcFunc-sin, calcFunc-cos, calcFunc-tan)
+        (calcFunc-cot, calcFunc-csc, calcFunc-sec, calcFunc-arcsin)
+        (calcFunc-arccos, calcFunc-arctan): Use symbolic `pi' in the
+        derivatives, when necessary.
+
 2013-02-23  Peter Kleiweg  <p.c.j.kleiweg@rug.nl>
 
         * progmodes/ps-mode.el (ps-mode-version): Bump to 1.1i.
diff --git a/lisp/calc/calc-math.el b/lisp/calc/calc-math.el
index 94b3f645785..3b845f563a1 100644
--- a/lisp/calc/calc-math.el
+++ b/lisp/calc/calc-math.el
@@ -777,18 +777,18 @@ If this can't be done, return NIL."
          (math-to-hms a 'rad))
         (t a)))
 
-(defun math-to-radians-2 (a)   ; [N N]
+(defun math-to-radians-2 (a &optional force-symbolic)   ; [N N]
   (cond ((eq (car-safe a) 'hms)
          (math-from-hms a 'rad))
         ((memq calc-angle-mode '(deg hms))
-         (if calc-symbolic-mode
+         (if (or calc-symbolic-mode force-symbolic)
              (math-div (math-mul a '(var pi var-pi)) 180)
            (math-mul a (math-pi-over-180))))
         (t a)))
 
-(defun math-from-radians-2 (a)   ; [N N]
+(defun math-from-radians-2 (a &optional force-symbolic)   ; [N N]
   (cond ((memq calc-angle-mode '(deg hms))
-         (if calc-symbolic-mode
+         (if (or calc-symbolic-mode force-symbolic)
              (math-div (math-mul 180 a) '(var pi var-pi))
            (math-div a (math-pi-over-180))))
         (t a)))
diff --git a/lisp/calc/calcalg2.el b/lisp/calc/calcalg2.el
index 58a82bcf143..cd962e7dbed 100644
--- a/lisp/calc/calcalg2.el
+++ b/lisp/calc/calcalg2.el
@@ -401,18 +401,18 @@
 
 (put 'calcFunc-sin\' 'math-derivative-1
      (function (lambda (u) (math-to-radians-2 (math-normalize
-                                               (list 'calcFunc-cos u))))))
+                                               (list 'calcFunc-cos u)) t))))
 
 (put 'calcFunc-cos\' 'math-derivative-1
      (function (lambda (u) (math-neg (math-to-radians-2
                                       (math-normalize
-                                       (list 'calcFunc-sin u)))))))
+                                       (list 'calcFunc-sin u)) t)))))
 
 (put 'calcFunc-tan\' 'math-derivative-1
      (function (lambda (u) (math-to-radians-2
                             (math-sqr
                              (math-normalize
-                              (list 'calcFunc-sec u)))))))
+                              (list 'calcFunc-sec u))) t))))
 
 (put 'calcFunc-sec\' 'math-derivative-1
      (function (lambda (u) (math-to-radians-2
@@ -420,7 +420,7 @@
                              (math-normalize
                               (list 'calcFunc-sec u))
                              (math-normalize
-                              (list 'calcFunc-tan u)))))))
+                              (list 'calcFunc-tan u))) t))))
 
 (put 'calcFunc-csc\' 'math-derivative-1
      (function (lambda (u) (math-neg
@@ -429,32 +429,32 @@
                               (math-normalize
                                (list 'calcFunc-csc u))
                               (math-normalize
-                               (list 'calcFunc-cot u))))))))
+                               (list 'calcFunc-cot u))) t)))))
 
 (put 'calcFunc-cot\' 'math-derivative-1
      (function (lambda (u) (math-neg
                             (math-to-radians-2
                              (math-sqr
                               (math-normalize
-                               (list 'calcFunc-csc u))))))))
+                               (list 'calcFunc-csc u))) t)))))
 
 (put 'calcFunc-arcsin\' 'math-derivative-1
      (function (lambda (u)
                  (math-from-radians-2
                   (math-div 1 (math-normalize
                                (list 'calcFunc-sqrt
-                                     (math-sub 1 (math-sqr u)))))))))
+                                     (math-sub 1 (math-sqr u))))) t))))
 
 (put 'calcFunc-arccos\' 'math-derivative-1
      (function (lambda (u)
                  (math-from-radians-2
                   (math-div -1 (math-normalize
                                 (list 'calcFunc-sqrt
-                                      (math-sub 1 (math-sqr u)))))))))
+                                      (math-sub 1 (math-sqr u))))) t))))
 
 (put 'calcFunc-arctan\' 'math-derivative-1
      (function (lambda (u) (math-from-radians-2
-                            (math-div 1 (math-add 1 (math-sqr u)))))))
+                            (math-div 1 (math-add 1 (math-sqr u))) t))))
 
 (put 'calcFunc-sinh\' 'math-derivative-1
      (function (lambda (u) (math-normalize (list 'calcFunc-cosh u)))))