more computational encoding of probability theory
[CommonLispStat.git] / Doc / talks / Rossini-DSC-July2009.lisp
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1 ;;; -*- mode: lisp -*-
3 ;;; Time-stamp: <2009-07-14 15:09:33 tony>
4 ;;; Creation: <2009-03-12 17:14:56 tony>
5 ;;; File: plotting-data.lisp
6 ;;; Author: AJ Rossini <blindglobe@gmail.com>
7 ;;; Copyright: (c)2009--, AJ Rossini. BSD, LLGPL, or GPLv2, depending
8 ;;; on how it arrives.
9 ;;; Purpose: Example of generating plots.
11 ;;; What is this talk of 'release'? Klingons do not make software
12 ;;; 'releases'. Our software 'escapes', leaving a bloody trail of
13 ;;; designers and quality assurance people in its wake.
15 ;;; This organization and structure is new to the 21st Century
16 ;;; version.. Think, "21st Century Schizoid Man".
18 ;; SETUP FOR PLOT EXAMPLE:
19 (in-package :cl-user)
21 (defpackage :cl-2d-user-x11
22 (:use :cl :cl-cairo2 :cl-2d :cl-numlib :cl-colors :bind :cls)
23 (:shadowing-import-from :lisp-stat call-method call-next-method
25 expt + - * / ** mod rem abs 1+ 1- log exp sqrt sin cos tan
26 asin acos atan sinh cosh tanh asinh acosh atanh float random
27 truncate floor ceiling round minusp zerop plusp evenp oddp
28 < <= = /= >= > > ;; complex
29 conjugate realpart imagpart phase
30 min max logand logior logxor lognot ffloor fceiling
31 ftruncate fround signum cis
33 <= float imagpart))
35 (in-package :cl-2d-user-x11)
37 ;; PLOT EXAMPLE
38 #+nil
39 (progn
42 ;; this is how you create an X11 frame. If you supply a
43 ;; background-color to as-frame, each plot will clear the frame with
44 ;; this color.
46 (defparameter *frame1* (as-frame (create-xlib-image-context 300 300)
47 :background-color +white+))
49 ;; or netbook size, picture is similar but on a lower-res display window.
50 (defparameter *frame2* (as-frame (create-xlib-image-context 200 200)
51 :background-color +white+))
53 (plot-function *frame1*
54 #'exp (interval-of 0 2)
55 :x-title "x"
56 :y-title "exp(x)")
58 ;; split the frame, and you can draw on the subframes independently.
59 ;; I do this a lot.
61 (bind ((#2A((f1 f2) (f3 f4))
62 (split-frame *frame2* (percent 50) (percent 50))))
63 (defparameter *f1* f1)
64 (defparameter *f2* f2)
65 (defparameter *f3* f3)
66 (defparameter *f4* f4))
69 (bind ((#2A((f1 f2) (f3 f4))
70 (split-frame *frame2* (percent 75) (percent 25))))
71 (defparameter *f1* f1)
72 (defparameter *f2* f2)
73 (defparameter *f3* f3)
74 (defparameter *f4* f4))
76 (plot-function *f1* #'sin (interval-of 0 2) :x-title "x" :y-title "sin(x)")
77 (plot-function *f2* #'cos (interval-of 0 2) :x-title "x" :y-title "cos(x)")
78 (plot-function *f3* #'tan (interval-of 0 2) :x-title "x" :y-title "tan(x)")
79 (plot-function *f4* #'/ (interval-of 0 2) :x-title "x" :y-title "1/x")
81 (clear *frame1*)
84 (let* ((n 500)
85 (xs (num-sequence :from 0 :to 10 :length n))
86 (ys (map 'vector #'(lambda (x) (+ x 8 (random 4.0))) xs))
87 (weights (replicate #'(lambda () (1+ (random 10))) n 'fixnum))
88 (da (plot-simple *frame1* (interval-of 0 10) (interval-of 10 20)
89 :x-title "x" :y-title "y")))
90 (draw-symbols da xs ys :weights weights))
92 (xlib-image-context-to-png (context *frame1*) "/home/tony/test1.png")
93 (xlib-image-context-to-png (context *frame2*) "/home/tony/test2.png")
97 ;;; EXAMPLE FOR DSC2009
98 (defparameter *frame2* (as-frame (create-xlib-image-context 400 400)
99 :background-color +white+))
101 (bind ((#2A((f1 f2) (f3 f4))
102 (split-frame *frame2* (percent 50) (percent 50))))
103 (defparameter *f1* f1)
104 (defparameter *f2* f2)
105 (defparameter *f3* f3)
106 (defparameter *f4* f4))
107 (plot-function *f1* #'sin (interval-of 0 2) :x-title "x" :y-title "sin(x)")
108 (plot-function *f2* #'cos (interval-of 0 2) :x-title "x" :y-title "cos(x)")
109 (plot-function *f3* #'tan (interval-of 0 2) :x-title "x" :y-title "tan(x)")
111 (num-sequence :from 0 :to 10 :length 30)
113 (let* ((n 500)
114 (xs (num-sequence :from 0 :to 10 :length n))
115 (ys (map 'vector #'(lambda (x) (+ x 8 (random 4.0))) xs))
116 (weights (replicate #'(lambda () (1+ (random 10))) n 'fixnum))
117 (da (plot-simple *f4* (interval-of 0 10) (interval-of 10 20)
118 :x-title "x" :y-title "y")))
119 (draw-symbols da xs ys :weights weights))
120 (xlib-image-context-to-png (context *f1*) "/home/tony/test1.png")
121 (xlib-image-context-to-png (context *frame2*) "/home/tony/test2.png")
122 (destroy (context *frame2*))