diff options
Diffstat (limited to 'texmf-dist/scripts/ketcindy/ketlib/maximaL/rkfun.lisp')
-rw-r--r-- | texmf-dist/scripts/ketcindy/ketlib/maximaL/rkfun.lisp | 99 |
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)))
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