#lang scheme/base ;;; PLT Scheme Science Collection ;;; ode-initval/ode-initval/system.ss ;;; Copyright (c) 2004-2008 M. Douglas Williams ;;; ;;; This library is free software; you can redistribute it and/or ;;; modify it under the terms of the GNU Lesser General Public ;;; License as published by the Free Software Foundation; either ;;; version 2.1 of the License, or (at your option) any later version. ;;; ;;; This library is distributed in the hope that it will be useful, ;;; but WITHOUT ANY WARRANTY; without even the implied warranty of ;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU ;;; Lesser General Public License for more details. ;;; ;;; You should have received a copy of the GNU Lesser General Public ;;; License along with this library; if not, write to the Free ;;; Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA ;;; 02111-1307 USA. ;;; ;;; ------------------------------------------------------------------- ;;; ;;; This module provides all of the random distributions for the PLT ;;; Science Collection as a single module. ;;; ;;; Version Date Description ;;; 2.1.0 06/06/06 Creating separate modules and making V4.0 changes. ;;; (Doug Williams) ;;; 3.0.0 06/08/08 Changes required for V4.0. (Doug Williams) ;;; 3.0.1 07/01/08 Fixed header. (Doug Williams) ;;; Description of a systems of ODEs. ;;; ;;; y' = f(t, y) = dydt(t, y) ;;; ;;; The system is specified by giving the right-hand-side of the ;;; equation and possibly a Jacobian function. ;;; ;;; Some methods require the Jacobian function, which calculated the ;;; matrix dfdy and the vector dfdt. (provide (all-defined-out)) (define-struct ode-system (function jacobian dimension params)) ;; ode-system-function-eval: ;; ode-system x real x vector of real x vector of real -> void (define (ode-system-function-eval ode-system t y dydt) ((ode-system-function ode-system) t y dydt (ode-system-params ode-system))) ;; ode-system-jacobian-eval: ;; ode-system x real x vector of real x matrix of real x vector of real -> void (define (ode-system-jacobian-eval ode-system t y dfdy dfdt) ((ode-system-jacobian ode-system) t y dfdy dfdt (ode-system-params ode-system)))