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
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
|
;;; Chickadee Game Toolkit
;;; Copyright © 2016 David Thompson <davet@gnu.org>
;;;
;;; Chickadee is free software: you can redistribute it and/or modify
;;; it under the terms of the GNU General Public License as published
;;; by the Free Software Foundation, either version 3 of the License,
;;; or (at your option) any later version.
;;;
;;; Chickadee is distributed in the hope that it will be useful, but
;;; WITHOUT ANY WARRANTY; without even the implied warranty of
;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
;;; General Public License for more details.
;;;
;;; You should have received a copy of the GNU General Public License
;;; along with this program. If not, see
;;; <http://www.gnu.org/licenses/>.
(define-module (chickadee math vector)
#:use-module (rnrs bytevectors)
#:use-module (srfi srfi-9)
#:use-module (system foreign)
#:use-module (chickadee math)
#:export (vec2
vec2/polar
vec2?
vec2->pointer
vec2-copy
vec2-copy!
vec2-x
vec2-y
vec2-magnitude
vec2-dot-product
vec2-normalize
set-vec2-x!
set-vec2-y!
vec2-normalize!
vec2-mult!
vec2-add!
vec2-sub!
vec3
vec3?
vec3->pointer
vec3-copy
vec3-copy!
vec3-x
vec3-y
vec3-magnitude
vec3-dot-product
vec3-normalize
set-vec3-x!
set-vec3-y!
vec3-normalize!
vec3-mult!
vec3-add!
vec3-sub!))
(define-record-type <vec2>
(wrap-vec2 bv pointer)
vec2?
(bv unwrap-vec2)
(pointer vec2-pointer set-vec2-pointer!))
(define-record-type <vec3>
(wrap-vec3 bv pointer)
vec3?
(bv unwrap-vec3)
(pointer vec3-pointer set-vec3-pointer!))
(define (vec2->pointer v)
"Return a foreign pointer to V."
;; Create foreign pointer lazily.
(or (vec2-pointer v)
(let ((pointer (bytevector->pointer (unwrap-vec2 v))))
(set-vec2-pointer! v pointer)
pointer)))
(define (vec3->pointer v)
"Return a foreign pointer to V."
;; Create foreign pointer lazily.
(or (vec3-pointer v)
(let ((pointer (bytevector->pointer (unwrap-vec3 v))))
(set-vec3-pointer! v pointer)
pointer)))
(define (make-null-vec2)
(wrap-vec2 (make-f32vector 2) #f))
(define (make-null-vec3)
(wrap-vec3 (make-f32vector 3) #f))
(define-syntax-rule (with-new-vec2 name body ...)
(let ((name (make-null-vec2))) body ... name))
(define-syntax-rule (with-new-vec3 name body ...)
(let ((name (make-null-vec3))) body ... name))
(define-inlinable (vec2-ref v i)
(f32vector-ref (unwrap-vec2 v) i))
(define-inlinable (vec3-ref v i)
(f32vector-ref (unwrap-vec3 v) i))
(define-inlinable (vec2-set! v i x)
(f32vector-set! (unwrap-vec2 v) i x))
(define-inlinable (vec3-set! v i x)
(f32vector-set! (unwrap-vec3 v) i x))
(define-inlinable (vec2 x y)
"Return a new vec2 with coordinates (X, Y)."
(with-new-vec2 v
(vec2-set! v 0 x)
(vec2-set! v 1 y)))
(define-inlinable (vec3 x y z)
(with-new-vec3 v
(vec3-set! v 0 x)
(vec3-set! v 1 y)
(vec3-set! v 2 z)))
(define-inlinable (vec2/polar r theta)
"Return a new vec2 containing the Cartesian representation of the
polar coordinate (R, THETA)."
(vec2 (* r (cos theta)) (* r (sin theta))))
(define-inlinable (vec2-x v)
"Return the x coordinate of the vec2 V."
(vec2-ref v 0))
(define-inlinable (vec3-x v)
"Return the x coordinate of the vec3 V."
(vec3-ref v 0))
(define-inlinable (vec2-y v)
"Return the y coordinate of the vec2 V."
(vec2-ref v 1))
(define-inlinable (vec3-y v)
"Return the y coordinate of the vec3 V."
(vec3-ref v 1))
(define-inlinable (vec3-z v)
"Return the z coordinate of the vec3 V."
(vec3-ref v 2))
(define-inlinable (set-vec2-x! v x)
"Set the x coordinate of the vec2 V to X."
(vec2-set! v 0 x))
(define-inlinable (set-vec3-x! v x)
"Set the x coordinate of the vec3 V to X."
(vec3-set! v 0 x))
(define-inlinable (set-vec2-y! v y)
"Set the y coordinate of the vec2 V to Y."
(vec2-set! v 1 y))
(define-inlinable (set-vec3-y! v y)
"Set the y coordinate of the vec3 V to Y."
(vec3-set! v 1 y))
(define-inlinable (set-vec3-z! v z)
"Set the z coordinate of the vec3 V to Z."
(vec3-set! v 2 z))
(define (vec2-copy! source-vec2 target-vec2)
"Copy TARGET-VEC2 to SOURCE-VEC2."
(set-vec2-x! target-vec2 (vec2-x source-vec2))
(set-vec2-y! target-vec2 (vec2-y source-vec2)))
(define (vec3-copy! source-vec3 target-vec3)
"Copy TARGET-VEC3 to SOURCE-VEC3."
(set-vec3-x! target-vec3 (vec3-x source-vec3))
(set-vec3-y! target-vec3 (vec3-y source-vec3)))
(define (vec2-copy vec2)
"Return a new vec2 that is a copy of VEC2."
(with-new-vec2 new
(vec2-copy! vec2 new)))
(define (vec3-copy vec3)
"Return a new vec3 that is a copy of VEC3."
(with-new-vec3 new
(vec3-copy! vec3 new)))
(define-inlinable (vec2-magnitude v)
"Return the magnitude of the vec2 V."
(sqrt (+ (square (vec2-x v)) (square (vec2-y v)))))
(define-inlinable (vec3-magnitude v)
"Return the magnitude of the vec3 V."
(sqrt (+ (square (vec3-x v))
(square (vec3-y v))
(square (vec3-z v)))))
(define-inlinable (vec2-dot-product v1 v2)
"Return the dot product of the vec2s V1 and V2."
(+ (* (vec2-x v1) (vec2-x v2))
(* (vec2-y v1) (vec2-y v2))))
(define-inlinable (vec3-dot-product v1 v2)
"Return the dot product of the vec3s V1 and V2."
(+ (* (vec3-x v1) (vec3-x v2))
(* (vec3-y v1) (vec3-y v2))
(* (vec3-z v1) (vec3-z v2))))
(define (vec2-normalize v)
"Return the normalized form of the vec2 V."
(with-new-vec2 new
(vec2-copy! v new)
(vec2-normalize! new)))
(define (vec3-normalize v)
"Return the normalized form of the vec3 V."
(with-new-vec3 new
(vec3-copy! v new)
(vec3-normalize! new)))
(define-inlinable (vec2-normalize! v)
"Normalize the vec2 V in-place."
(unless (and (zero? (vec2-x v)) (zero? (vec2-y v)))
(let ((m (vec2-magnitude v)))
(set-vec2-x! v (/ (vec2-x v) m))
(set-vec2-y! v (/ (vec2-y v) m)))))
(define-inlinable (vec3-normalize! v)
"Normalize the vec3 V in-place."
(unless (and (zero? (vec3-x v))
(zero? (vec3-y v))
(zero? (vec3-z v)))
(let ((m (vec3-magnitude v)))
(set-vec3-x! v (/ (vec3-x v) m))
(set-vec3-y! v (/ (vec3-y v) m))
(set-vec3-z! v (/ (vec3-z v) m)))))
(define-inlinable (vec2-mult! v x)
"Multiply the vec2 V by X, a real number or vec2."
(if (real? x)
(begin
(set-vec2-x! v (* (vec2-x v) x))
(set-vec2-y! v (* (vec2-y v) x)))
(begin
(set-vec2-x! v (* (vec2-x v) (vec2-x x)))
(set-vec2-y! v (* (vec2-y v) (vec2-y x))))))
(define-inlinable (vec3-mult! v x)
"Multiply the vec3 V by X, a real number or vec3."
(if (real? x)
(begin
(set-vec3-x! v (* (vec3-x v) x))
(set-vec3-y! v (* (vec3-y v) x))
(set-vec3-z! v (* (vec3-z v) x)))
(begin
(set-vec3-x! v (* (vec3-x v) (vec3-x x)))
(set-vec3-y! v (* (vec3-y v) (vec3-y x)))
(set-vec3-z! v (* (vec3-z v) (vec3-z x))))))
(define-inlinable (vec2-add! v x)
"Add X, a real number or vec2, to the vec2 V."
(if (real? x)
(begin
(set-vec2-x! v (+ (vec2-x v) x))
(set-vec2-y! v (+ (vec2-y v) x)))
(begin
(set-vec2-x! v (+ (vec2-x v) (vec2-x x)))
(set-vec2-y! v (+ (vec2-y v) (vec2-y x))))))
(define-inlinable (vec3-add! v x)
"Add X, a real number or vec3, to the vec3 V."
(if (real? x)
(begin
(set-vec3-x! v (+ (vec3-x v) x))
(set-vec3-y! v (+ (vec3-y v) x))
(set-vec3-z! v (+ (vec3-z v) x)))
(begin
(set-vec3-x! v (+ (vec3-x v) (vec3-x x)))
(set-vec3-y! v (+ (vec3-y v) (vec3-y x)))
(set-vec3-z! v (+ (vec3-z v) (vec3-z x))))))
(define-inlinable (vec2-sub! v x)
"Subtract X, a real number or vec2, from the vec2 V."
(if (real? x)
(begin
(set-vec2-x! v (- (vec2-x v) x))
(set-vec2-y! v (- (vec2-y v) x)))
(begin
(set-vec2-x! v (- (vec2-x v) (vec2-x x)))
(set-vec2-y! v (- (vec2-y v) (vec2-y x))))))
(define-inlinable (vec3-sub! v x)
"Subtract X, a real number or vec3, from the vec3 V."
(if (real? x)
(begin
(set-vec3-x! v (- (vec3-x v) x))
(set-vec3-y! v (- (vec3-y v) x))
(set-vec3-z! v (- (vec3-z v) x)))
(begin
(set-vec3-x! v (- (vec3-x v) (vec3-x x)))
(set-vec3-y! v (- (vec3-y v) (vec3-y x)))
(set-vec3-z! v (- (vec3-z v) (vec3-z x))))))
|
