blob: 86a56a1149174c6e62eda4f9897e4e006e8b12bd (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
|
;;;; turtle-system.lisp
(in-package #:l-system)
;;;(matrix* translate rotate scale)
(export '(f j + - & ^ q / [ ]))
(defvar coor-sys (identity-matrix))
(defvar stack '())
(defun turtle-system (fn list)
(iter (for item in list)
(case (car item)
;;Move forward one unit,adding data to mesh.
((f)
(let ((pos (get-vec coor-sys))
(vec-x (get-axis coor-sys 0))
(vec-y (get-axis coor-sys 1))
(vec-z (get-axis coor-sys 2)))
(setf coor-sys (mtranslate coor-sys
(vec* (vec 0.0 1.0 0.0)
(cadr item))))
(appending (funcall fn pos (get-vec coor-sys)
vec-x vec-y vec-z))))
;;Move forward one unit,without adding data to mesh.
((j)
(setf coor-sys (mtranslate coor-sys
(vec* (vec 0.0 1.0 0.0)
(cadr item)))))
;;Rotate left on axis z
((+)
(setf coor-sys (mrotate
(get-axis coor-sys 2)
coor-sys
(cadr item))))
;;Rotate right on axis z
((-)
(setf coor-sys (mrotate
(get-axis coor-sys 2)
coor-sys
(- (cadr item)))))
;;Rotate left on axis y
((&)
(setf coor-sys (mrotate
(get-axis coor-sys 1)
coor-sys
(cadr item))))
;;Rotate right on axis y
((^)
(setf coor-sys (mrotate
(get-axis coor-sys 1)
coor-sys
(- (cadr item)))))
;;Rotate left on axis x
((q)
(setf coor-sys (mrotate
(get-axis coor-sys 0)
coor-sys
(cadr item))))
;;Rotate right on axis x
((/)
(setf coor-sys (mrotate
(get-axis coor-sys 0)
coor-sys
(- (cadr item)))))
;;Push the current turtle state onto a stack
(([)
(push (copy-seq coor-sys)
stack))
;;Pop the turtle stack, restoring an earlier state
((])
(setf coor-sys (pop stack))))
(finally (init))))
;;; Turgle utils
(defun init ()
(setf coor-sys (identity-matrix)
stack '()))
(defun list-of-vectors->list (list-of-vectors)
(iterconcat #'(lambda (vec)
(concatenate 'list
vec))
list-of-vectors))
(defun mtranslate (matrix vec)
(matrix* matrix
(translate vec)))
(defun mrotate (axis matrix radians)
(matrix* matrix
(rotate-around axis radians)))
(defun get-axis (matrix column)
(vec (mref matrix 0 column)
(mref matrix 1 column)
(mref matrix 2 column)))
(defun get-vec (matrix)
(transform-point (vec 0.0 0.0 0.0)
matrix))
|
