#lang scheme/base
;;; PLT Scheme Science Collection
;;; random-distributions/gaussian-graphics.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
;;; 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 code implements graphics for Gaussian distributions.
;;; Version  Date      Description
;;; 0.1.0    08/07/04  This is the initial release of the Guassian
;;;                    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)

(require (lib "contract.ss"))

  (-> real? (>=/c 0.0) any))
  (-> any)))

(require "gaussian.ss")
(require (lib "plot.ss" "plot"))

;;; 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 (gaussian-plot mu sigma)
  (plot (mix (line (lambda (x) (unchecked-gaussian-pdf x mu sigma))
                   (color 'red))
             (line (lambda (x) (unchecked-gaussian-cdf x mu sigma))
                   (color 'blue)))
        (x-min (+ mu (* -3 sigma)))
        (x-max (+ mu (* 3 sigma)))
        (x-label "X")
        (y-min 0) (y-max 1)
        (y-label "Density")
        (title "Gaussian Distribution")))

;;; unit-gaussian-plot: -> void
;;; Plot the pdf and cdf for a unit gaussian distribution (standard
;;; normal distribution).  The x axis range is +/- three.
(define (unit-gaussian-plot)
  (plot (mix (line unchecked-unit-gaussian-pdf (color 'red))
             (line unchecked-unit-gaussian-cdf (color 'blue)))
        (x-min -3) (x-max 3)
        (x-label "X")
        (y-min 0) (y-max 1)
        (y-label "Density")
        (title "Unit Gaussian Distribution")))