#lang racket/gui ;;; Science Collection ;;; random-distributions/bivariate-gaussian-graphics.rkt ;;; Copyright (c) 2004-2011 M. Douglas Williams ;;; ;;; This file is part of the Science Collection. ;;; ;;; The Science Collection 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 3 of the License ;;; or (at your option) any later version. ;;; ;;; The Science Collection is distributed in the hope that it will be useful, ;;; but WITHOUT 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 the Science Collection. If not, see ;;; <http://www.gnu.org/licenses/>. ;;; ;;; ----------------------------------------------------------------------------- ;;; ;;; This code implements graphics for bivariate gaussian distributions. ;;; ;;; Version Date Description ;;; 0.1.0 08/07/04 This is the initial release of the bivariate Gaussian ;;; distribution graphics routines. (MDW) ;;; 1.0.0 09/28/04 Added contracts for functions. Marked as ready for ;;; Release 1.0. (MDW) ;;; 2.0.0 11/19/07 Changed calls to unchecked versions. (MDW) ;;; 3.0.0 06/09/08 Changes required for V4.0. (MDW) ;;; 3.0.1 07/01/08 Changes axes labels. (MDW) ;;; 4.0.0 06/11/10 Changed the header and restructured the code. (MDW) ;;; 4.1.0 10/09/11 Updated to the new plot package (require plot "bivariate-gaussian.rkt") ;;; gaussian-plot: real x real -> void ;;; Plot the pdf and cdf for a gaussian distribution with the given ;;; mean and standard deviation. The x axis range is +/- three sigma ;;; around the mean. (define (bivariate-gaussian-plot sigma-x sigma-y rho) (plot3d (surface3d (lambda (x y) (bivariate-gaussian-pdf x y sigma-x sigma-y rho)) #:label "z = pdf(x,y)" #:color 1 #:line-color 1) #:x-min (* -3 sigma-x) #:x-max (* 3 sigma-x) #:x-label "x" #:y-min (* -3 sigma-y) #:y-max (* 3 sigma-y) #:y-label "y" #:z-label "Density" #:title "Bivariate Gaussian Distribution")) ;;; Module Contracts (provide/contract (bivariate-gaussian-plot (-> (>=/c 0.0) (>=/c 0.0) (real-in -1.0 1.0) (or/c (is-a?/c image-snip%) void?))))