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-rw-r--r--texmf-dist/scripts/ketcindy/ketlib/maximaL/rkfun.lisp99
1 files changed, 0 insertions, 99 deletions
diff --git a/texmf-dist/scripts/ketcindy/ketlib/maximaL/rkfun.lisp b/texmf-dist/scripts/ketcindy/ketlib/maximaL/rkfun.lisp
deleted file mode 100644
index 70aafc7f..00000000
--- a/texmf-dist/scripts/ketcindy/ketlib/maximaL/rkfun.lisp
+++ /dev/null
@@ -1,99 +0,0 @@
-;; variation on runge-kutta (rk) routine in complex_dynamics.lisp by villate@fe.up.pt
-;; this one with changed by fateman@berkeley.edu
-
-#| rkfun may be much faster than rk because it calls compiled programs.
- rkfun (this file) should also be compiled to speed it up.
- how to use:
-
-
- first, read and understand the documentation for rk().
- next, define the ODE right hand sides as functions as shown below
-
-fun1(y,x,x0):= x0$
-fun2(y,x,x0):= block([], mode_declare([y, x0,x],float),(1-x^2)*x0-x);
-compile(fun1)$
-compile(fun2)$
-showtime:all$
-
-last(rkfun([fun1,fun2],[x,xdot],[0.0,0.6],[t,0,50,0.01]));
-
-/* which is, in one test, 18 times faster than */
-
-last(rk([xdot,(1-x^2)*xdot -x],[x,xdot],[0.0,0.6],[t,0,50,0.01]));
-
-|#
-
-(defun $rkfun (funs vars initial domain ;; taken from complex_dynamics.lisp
- &aux d u funlist k1 k2 k3 k4 r1 r2 r3 traj r
- (it (mapcar #'coerce-float (cddr domain))))
- (unless ($listp funs) (setq funs `((mlist) ,funs)))
- (unless ($listp initial) (setq initial `((mlist) ,initial)))
- (unless ($listp vars) (setq vars `((mlist) ,vars)))
- (dolist (var (cdr vars))
- (unless (symbolp var)
- (merror (intl:gettext "rk: variable name expected; found: ~M") var)))
- (unless (symbolp (cadr domain))
- (merror (intl:gettext "rk: variable name expected; found: ~M")
- (cadr domain)))
- (setq vars (append '((mlist)) (list (cadr domain)) (cdr vars)))
- (setq r (append `(,(car it)) (mapcar #'coerce-float (cdr initial))))
- (setq funlist (cdr funs))
-
- (setq d (/ (- (cadr it) (car it)) (caddr it)))
- (setq traj (list (cons '(mlist) r)))
- (do ((m 1 (1+ m))) ((> m d))
- (progn ;;; was ignore-errors
- (setq k1 (mapcar #'(lambda (x) (apply x r)) funlist))
- (setq r1 (map 'list #'+ (cdr r) (mapcar #'(lambda (x) (* 0.5d0 (caddr it) x)) k1)))
- (push (+ (car r) (/ (caddr it) 2)) r1)
- (setq k2 (mapcar #'(lambda (x) (apply x r1)) funlist))
- (setq r2 (map 'list #'+ (cdr r) (mapcar #'(lambda (x) (* 0.5d0(caddr it) x)) k2)))
- (push (+ (car r) (/ (caddr it) 2)) r2)
- (setq k3 (mapcar #'(lambda (x) (apply x r2)) funlist))
- (setq r3 (map 'list #'+ (cdr r) (mapcar #'(lambda (x) (* (caddr it) x)) k3)))
- (push (+ (car r) (caddr it)) r3)
- (setq k4 (mapcar #'(lambda (x) (apply x r3)) funlist))
- (setq u (map 'list #'+
- (mapcar #'(lambda (x) (* #.(/ 1.0 6.0d0) x)) k1)
- (mapcar #'(lambda (x) (* #.(/ 1.0 3.0d0) x)) k2)
- (mapcar #'(lambda (x) (* #.(/ 1.0 3.0d0) x)) k3)
- (mapcar #'(lambda (x) (* #.(/ 1.0 6.0d0) x)) k4)))
- (setq r
- (append
- `(,(+ (car it) (* m (caddr it))))
- (map 'list #'+ (cdr r) (mapcar #'(lambda (x) (* (caddr it) x)) u))))
- (push (cons '(mlist) r) traj)))
- (when (< (car r) (cadr it))
- (let ((s (- (cadr it) (car r))) )
- (declare(double-float s)(special s)(optimize (speed 3)(safety 0)))
- (progn ;; was ignore-errors
- (setq k1 (mapcar #'(lambda (x) (mapply x r nil)) funlist))
- (setq r1 (map 'list #'+ (cdr r) (mapcar #'(lambda (x)
- (declare(double-float x))
- (* s 0.5d0 x)) k1)))
- (push (+ (car r) (* 0.5d0 s)) r1)
- (setq k2 (mapcar #'(lambda (x) (mapply x r1 nil)) funlist))
- (setq r2 (map 'list #'+ (cdr r) (mapcar #'(lambda (x)(declare(double-float x))
- (* s 0.5d0 x)) k2)))
- (push (+ (car r) (* 0.5d0 s)) r2)
- (setq k3 (mapcar #'(lambda (x) (mapply x r2 nil)) funlist))
- (setq r3 (map 'list #'+ (cdr r) (mapcar #'(lambda (x)(declare(double-float x))
- (* s x)) k3)))
- (push (+ (car r) s) r3)
- (setq k4 (mapcar #'(lambda (x) (mapply x r3 nil)) funlist))
- (setq u (map 'list #'+
- (mapcar #'(lambda (x)(declare(double-float x))
- (* #.(/ 1.0d0 6.0d0) x)) k1)
- (mapcar #'(lambda (x)(declare(double-float x))
- (* #.(/ 1.0d0 3.0d0) x)) k2)
- (mapcar #'(lambda (x) (declare(double-float x))
- (* #.(/ 1.0d0 3.0d0) x)) k3)
- (mapcar #'(lambda (x)(declare(double-float x))
- (* #.(/ 1.0d0 6.0d0) x)) k4)))
- (setq r
- (append
- `(,(cadr it))
- (map 'list #'+ (cdr r) (mapcar #'(lambda (x)(declare(double-float x))
- (* s x)) u))))
- (push (cons '(mlist) r) traj))))
- (cons '(mlist) (nreverse traj))) \ No newline at end of file