#lang racket/gui ;;; Science Collection ;;; random-distributions/gaussian-tail-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 Gaussian tail distributions. ;;; ;;; Version Date Description ;;; 0.1.0 08/07/04 This is the initial release of the Guassian tail ;;; distribution graphics routines. (Doug Williams) ;;; 1.0.0 09/28/04 Added contracts for functions. Marked as ready ;;; for Release 1.0. (Doug Williams) ;;; 2.0.0 11/19/07 Changed calls to unchecked versions. ;;; (Doug Williams) ;;; 3.0.0 06/09/08 Changes required for V4.0. (Doug Williams) ;;; 3.0.1 07/01/08 Changed x axis label. (Doug Williams) ;;; 4.0.0 08/16/11 Changed the header and restructured the code. (MDW) ;;; 4.1.0 10/09/11 Updated to the new plot package. (MDW) (require plot "gaussian-tail.rkt") ;;; gaussian-tail-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 (gaussian-tail-plot a mu sigma) (plot (function (lambda (x) (gaussian-tail-pdf x a mu sigma)) #:label "y = pdf(x)" #:color "red") #:x-min a #:x-max (+ a (* 3 sigma)) #:x-label "x" #:y-label "Density" #:title "Gaussian Tail Distribution")) ;;; unit-gaussian-tail-plot: -> void ;;; Plot the pdf and cdf for a unit gaussian distribution (standard ;;; normal distribution). The x axis range is +/- three. (define (unit-gaussian-tail-plot a) (plot (function (lambda (x) (unit-gaussian-tail-pdf x a)) #:label "y = pdf(x)" #:color "red") #:x-min a #:x-max (+ a 3) #:x-label "x" #:y-label "Density" #:title "Unit Gaussian Tail Distribution")) ;;; Module Contracts (provide/contract (gaussian-tail-plot (-> real? real? (>=/c 0.0) (or/c (is-a?/c image-snip%) void?))) (unit-gaussian-tail-plot (-> real? (or/c (is-a?/c image-snip%) void?))))