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
|
;; -*-theme-d-*-
;; Copyright (C) 2018, 2021 Tommi Höynälänmaa
;; Distributed under GNU Lesser General Public License version 3,
;; see file doc/LGPL-3.
(define-interface (standard-library math)
(import (standard-library core))
(import-and-reexport (standard-library basic-math))
(import-and-reexport (standard-library rational))
(import-and-reexport (standard-library real-math))
(import-and-reexport (standard-library complex))
(define <number> (:union <integer> <rational> <real> <complex>))
(declare-virtual-method = (:simple-proc (<number> <number>) <boolean> pure))
(declare-method integer-valued? (:simple-proc (<object>) <boolean> pure))
(declare-method real-valued? (:simple-proc (<object>) <boolean> pure))
(declare-method rational-valued? (:simple-proc (<object>) <boolean> pure))
(declare-method exact? (:simple-proc (<number>) <boolean> pure))
(declare-method inexact? (:simple-proc (<number>) <boolean> pure))
(declare-virtual-method exact->inexact
(:simple-proc (<number>) <number> pure))
(declare-virtual-method exact->inexact
(:simple-proc (<real-number>) <real-number> pure))
(declare-virtual-method exact->inexact
(:simple-proc (<integer>) <real> pure))
(declare-virtual-method exact->inexact
(:simple-proc (<rational>) <real> pure))
(declare-virtual-method exact->inexact
(:simple-proc (<real>) <real> pure))
(declare-virtual-method exact->inexact
(:simple-proc (<complex>) <complex> pure))
(declare-method real->exact (:simple-proc (<real>) <rational-number> pure))
(declare-method complex->exact (:simple-proc (<complex>) <rational-number> pure))
(declare-virtual-method inexact->exact
(:simple-proc (<number>) <rational-number> pure))
(declare-virtual-method inexact->exact
(:simple-proc (<integer>) <integer> pure))
(declare-virtual-method inexact->exact
(:simple-proc (<rational>) <rational> pure))
(declare-virtual-method inexact->exact
(:simple-proc (<real>) <rational-number> pure))
(declare-virtual-method inexact->exact
(:simple-proc (<complex>) <rational-number> pure))
(declare-virtual-method + (:simple-proc (<number> <number>) <number> pure))
(declare-virtual-method - (:simple-proc (<number> <number>) <number> pure))
(declare-virtual-method * (:simple-proc (<number> <number>) <number> pure))
(declare-virtual-method / (:simple-proc (<number> <number>) <number> pure))
(declare-virtual-method - (:simple-proc (<number>) <number> pure))
(declare-virtual-method abs (:simple-proc (<number>) <real-number> pure))
(declare-virtual-method square (:simple-proc (<number>) <number> pure))
(declare-virtual-method conj (:simple-proc (<number>) <number> pure))
(declare-virtual-method conj (:simple-proc (<integer>) <integer> pure))
(declare-virtual-method conj (:simple-proc (<rational>) <rational> pure))
(declare-virtual-method conj (:simple-proc (<real>) <real> pure))
(declare-virtual-method expt (:simple-proc (<number> <number>) <number> pure))
(declare-virtual-method expt (:simple-proc (<integer> <integer>)
<rational-number> pure))
(declare-virtual-method expt (:simple-proc (<integer> <real>)
(:union <real> <complex>) pure))
(declare-virtual-method expt (:simple-proc (<integer> <rational>) <number> pure))
(declare-virtual-method expt (:simple-proc (<integer> <complex>) <complex> pure))
(declare-virtual-method expt (:simple-proc (<real> <integer>)
(:union <real> <integer>) pure))
(declare-virtual-method expt (:simple-proc (<real> <real>) (:union <real> <complex>)
pure))
(declare-virtual-method expt (:simple-proc (<real> <rational>)
(:union <integer> <real> <complex>) pure))
(declare-virtual-method expt (:simple-proc (<real> <complex>) <complex> pure))
(declare-virtual-method expt (:simple-proc (<rational> <integer>) <rational> pure))
(declare-virtual-method expt (:simple-proc (<rational> <real>)
(:union <integer> <real> <complex>) pure))
(declare-virtual-method expt (:simple-proc (<rational> <rational>) <number> pure))
(declare-virtual-method expt (:simple-proc (<rational> <complex>) <complex> pure))
(declare-virtual-method expt (:simple-proc (<complex> <integer>)
(:union <complex> <integer>) pure))
(declare-virtual-method expt (:simple-proc (<complex> <real>) <complex> pure))
(declare-virtual-method expt (:simple-proc (<complex> <rational>) <complex> pure))
(declare-virtual-method expt (:simple-proc (<complex> <complex>) <complex> pure))
(declare-virtual-method sqrt (:simple-proc (<number>) <number> pure))
(declare-virtual-method sqrt (:simple-proc (<integer>)
(:union <integer> <real> <complex>) pure))
(declare-virtual-method sqrt (:simple-proc (<rational>) <number> pure))
(declare-virtual-method sqrt (:simple-proc (<real>) (:union <real> <complex>) pure))
(declare-virtual-method sqrt (:simple-proc (<complex>) <complex> pure))
(declare-virtual-method sin (:simple-proc (<number>) <number> pure))
(declare-virtual-method sin (:simple-proc (<real-number>) (:union <real> <integer>)
pure))
(declare-virtual-method sin (:simple-proc (<integer>) (:union <real> <integer>)
pure))
(declare-virtual-method sin (:simple-proc (<rational>) (:union <real> <integer>)
pure))
(declare-virtual-method sin (:simple-proc (<real>) <real> pure))
(declare-virtual-method sin (:simple-proc (<complex>) <complex> pure))
(declare-virtual-method cos (:simple-proc (<number>) <number> pure))
(declare-virtual-method cos (:simple-proc (<real-number>) (:union <real> <integer>)
pure))
(declare-virtual-method cos (:simple-proc (<integer>) (:union <real> <integer>)
pure))
(declare-virtual-method cos (:simple-proc (<rational>) (:union <real> <integer>)
pure))
(declare-virtual-method cos (:simple-proc (<real>) <real> pure))
(declare-virtual-method cos (:simple-proc (<complex>) <complex> pure))
(declare-virtual-method tan (:simple-proc (<number>) <number> pure))
(declare-virtual-method tan (:simple-proc (<real-number>) (:union <real> <integer>)
pure))
(declare-virtual-method tan (:simple-proc (<integer>) (:union <real> <integer>)
pure))
(declare-virtual-method tan (:simple-proc (<rational>) (:union <real> <integer>)
pure))
(declare-virtual-method tan (:simple-proc (<real>) <real> pure))
(declare-virtual-method tan (:simple-proc (<complex>) <complex> pure))
(declare-virtual-method asin (:simple-proc (<number>) <number> pure))
(declare-virtual-method asin (:simple-proc (<integer>)
(:union <integer> <real> <complex>) pure))
(declare-virtual-method asin (:simple-proc (<rational>)
(:union <integer> <real> <complex>) pure))
(declare-virtual-method asin (:simple-proc (<real>) (:union <real> <complex>) pure))
(declare-virtual-method asin (:simple-proc (<complex>) <complex> pure))
(declare-virtual-method acos (:simple-proc (<number>) <number> pure))
(declare-virtual-method acos (:simple-proc (<integer>)
(:union <integer> <real> <complex>) pure))
(declare-virtual-method acos (:simple-proc (<rational>)
(:union <integer> <real> <complex>) pure))
(declare-virtual-method acos (:simple-proc (<real>) (:union <real> <complex>) pure))
(declare-virtual-method acos (:simple-proc (<complex>) <complex> pure))
(declare-virtual-method atan (:simple-proc (<number>) <number> pure))
(declare-virtual-method atan (:simple-proc (<real-number>) (:union <real> <integer>)
pure))
(declare-virtual-method atan (:simple-proc (<integer>) (:union <real> <integer>)
pure))
(declare-virtual-method atan (:simple-proc (<rational>) (:union <real> <integer>)
pure))
(declare-virtual-method atan (:simple-proc (<real>) <real> pure))
(declare-virtual-method atan (:simple-proc (<complex>) <complex> pure))
(declare-virtual-method exp (:simple-proc (<number>) <number> pure))
(declare-virtual-method exp (:simple-proc (<real-number>) (:union <real> <integer>)
pure))
(declare-virtual-method exp (:simple-proc (<integer>) (:union <real> <integer>)
pure))
(declare-virtual-method exp (:simple-proc (<rational>) (:union <real> <integer>)
pure))
(declare-virtual-method exp (:simple-proc (<real>) <real> pure))
(declare-virtual-method exp (:simple-proc (<complex>) <complex> pure))
(declare-virtual-method log (:simple-proc (<number>) <number> pure))
(declare-virtual-method log (:simple-proc (<integer>)
(:union <integer> <real> <complex>) pure))
(declare-virtual-method log (:simple-proc (<rational>)
(:union <integer> <real> <complex>) pure))
(declare-virtual-method log (:simple-proc (<real>) (:union <real> <complex>) pure))
(declare-virtual-method log (:simple-proc (<complex>) <complex> pure))
(declare-virtual-method log10 (:simple-proc (<number>) <number> pure))
(declare-virtual-method log10 (:simple-proc (<integer>)
(:union <integer> <real> <complex>) pure))
(declare-virtual-method log10 (:simple-proc (<rational>)
(:union <integer> <real> <complex>) pure))
(declare-virtual-method log10 (:simple-proc (<real>) (:union <real> <complex>) pure))
(declare-virtual-method log10 (:simple-proc (<complex>) <complex> pure))
(declare-virtual-method sinh (:simple-proc (<number>) <number> pure))
(declare-virtual-method sinh (:simple-proc (<real-number>) (:union <real> <integer>)
pure))
(declare-virtual-method sinh (:simple-proc (<integer>) (:union <real> <integer>)
pure))
(declare-virtual-method sinh (:simple-proc (<rational>) (:union <real> <integer>)
pure))
(declare-virtual-method sinh (:simple-proc (<real>) <real> pure))
(declare-virtual-method sinh (:simple-proc (<complex>) <complex> pure))
(declare-virtual-method cosh (:simple-proc (<number>) <number> pure))
(declare-virtual-method cosh (:simple-proc (<real-number>) (:union <real> <integer>)
pure))
(declare-virtual-method cosh (:simple-proc (<integer>) (:union <real> <integer>)
pure))
(declare-virtual-method cosh (:simple-proc (<rational>) (:union <real> <integer>)
pure))
(declare-virtual-method cosh (:simple-proc (<real>) <real> pure))
(declare-virtual-method cosh (:simple-proc (<complex>) <complex> pure))
(declare-virtual-method tanh (:simple-proc (<number>) <number> pure))
(declare-virtual-method tanh (:simple-proc (<real-number>) (:union <real> <integer>)
pure))
(declare-virtual-method tanh (:simple-proc (<integer>) (:union <real> <integer>)
pure))
(declare-virtual-method tanh (:simple-proc (<rational>) (:union <real> <integer>)
pure))
(declare-virtual-method tanh (:simple-proc (<real>) <real> pure))
(declare-virtual-method tanh (:simple-proc (<complex>) <complex> pure))
(declare-virtual-method asinh (:simple-proc (<number>) <number> pure))
(declare-virtual-method asinh (:simple-proc (<real-number>) (:union <real> <integer>)
pure))
(declare-virtual-method asinh (:simple-proc (<integer>) (:union <real> <integer>)
pure))
(declare-virtual-method asinh (:simple-proc (<rational>) (:union <real> <integer>)
pure))
(declare-virtual-method asinh (:simple-proc (<real>) <real> pure))
(declare-virtual-method asinh (:simple-proc (<complex>) <complex> pure))
(declare-virtual-method acosh (:simple-proc (<number>) <number> pure))
(declare-virtual-method acosh (:simple-proc (<integer>)
(:union <integer> <real> <complex>) pure))
(declare-virtual-method acosh (:simple-proc (<rational>)
(:union <integer> <real> <complex>) pure))
(declare-virtual-method acosh (:simple-proc (<real>) (:union <real> <complex>) pure))
(declare-virtual-method acosh (:simple-proc (<complex>) <complex> pure))
(declare-virtual-method atanh (:simple-proc (<number>) <number> pure))
(declare-virtual-method atanh (:simple-proc (<integer>)
(:union <integer> <real> <complex>) pure))
(declare-virtual-method atanh (:simple-proc (<rational>)
(:union <integer> <real> <complex>) pure))
(declare-virtual-method atanh (:simple-proc (<real>) (:union <real> <complex>) pure))
(declare-virtual-method atanh (:simple-proc (<complex>) <complex> pure))
(declare-virtual-method atan2 (:simple-proc (<real-number> <real-number>)
(:union <real> <integer>) pure))
(declare-virtual-method atan2 (:simple-proc (<integer> <integer>)
(:union <real> <integer>) pure))
(declare-virtual-method atan2 (:simple-proc (<integer> <rational>)
(:union <real> <integer>) pure))
(declare-virtual-method atan2 (:simple-proc (<integer> <real>) <real> pure))
(declare-virtual-method atan2 (:simple-proc (<rational> <integer>)
(:union <real> <integer>) pure))
(declare-virtual-method atan2 (:simple-proc (<rational> <rational>)
(:union <real> <integer>) pure))
(declare-virtual-method atan2 (:simple-proc (<rational> <real>) <real> pure))
(declare-virtual-method atan2 (:simple-proc (<real> <integer>) <real> pure))
(declare-virtual-method atan2 (:simple-proc (<real> <rational>) <real> pure))
(declare-virtual-method atan2 (:simple-proc (<real> <real>) <real> pure)))
|
