File: fdlibm.lisp

package info (click to toggle)
cmucl 21a-4
  • links: PTS
  • area: main
  • in suites: stretch
  • size: 50,060 kB
  • sloc: lisp: 375,822; ansic: 30,304; asm: 2,977; sh: 1,372; makefile: 355; csh: 31
file content (268 lines) | stat: -rw-r--r-- 9,853 bytes parent folder | download
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
;; Test that fdlibm routines signals exceptions as expected.

(defpackage :fdlibm-tests
  (:use :cl :lisp-unit))

(in-package "FDLIBM-TESTS")

(defparameter *qnan*
  (kernel::with-float-traps-masked (:invalid)
    (* 0 ext:double-float-positive-infinity))
  "Some randon quiet MaN value")

(defparameter *snan*
  (kernel:make-double-float #x7ff00000 1)
  "A randon signaling MaN value")

(define-test %cosh.exceptions
  (:tag :fdlibm)
  (assert-error 'floating-point-overflow
		(kernel:%cosh 1000d0))
  (assert-error 'floating-point-overflow
		(kernel:%cosh -1000d0))
  (assert-error 'floating-point-invalid-operation
		(kernel:%cosh *snan*))
  (assert-true (ext:float-nan-p (kernel:%cosh *qnan*)))
  
  ;; Same, but with overflow's masked
  (kernel::with-float-traps-masked (:overflow)
    (assert-equal ext:double-float-positive-infinity
		  (kernel:%cosh 1000d0))
    (assert-equal ext:double-float-positive-infinity
		  (kernel:%cosh -1000d0))
    (assert-equal ext:double-float-positive-infinity
		  (kernel:%cosh ext:double-float-positive-infinity))
    (assert-equal ext:double-float-positive-infinity
		  (kernel:%cosh ext:double-float-negative-infinity)))
  ;; Test NaN
  (kernel::with-float-traps-masked (:invalid)
    (assert-true (ext:float-nan-p (kernel:%cosh *snan*)))))

(define-test %sinh.exceptions
  (:tag :fdlibm)
  (assert-error 'floating-point-overflow
		(kernel:%sinh 1000d0))
  (assert-error 'floating-point-overflow
		(kernel:%sinh -1000d0))
  (assert-error 'floating-point-invalid-operation
		(kernel:%sinh *snan*))
  (assert-true (ext:float-nan-p (kernel:%sinh *qnan*)))
  ;; Same, but with overflow's masked
  (kernel::with-float-traps-masked (:overflow)
    (assert-equal ext:double-float-positive-infinity
		  (kernel:%sinh 1000d0))
    (assert-equal ext:double-float-negative-infinity
		  (kernel:%sinh -1000d0))
    (assert-equal ext:double-float-positive-infinity
		  (kernel:%sinh ext:double-float-positive-infinity))
    (assert-equal ext:double-float-negative-infinity
		  (kernel:%sinh ext:double-float-negative-infinity)))
  ;; Test NaN
  (kernel::with-float-traps-masked (:invalid)
    (assert-true (ext:float-nan-p (kernel:%sinh *qnan*)))))


(define-test %tanh.exceptions
  (:tag :fdlibm)
  (assert-true (ext:float-nan-p (kernel:%tanh *qnan*)))
  (assert-error 'floating-point-invalid-operation
		(kernel:%tanh *snan*))
  (kernel::with-float-traps-masked (:invalid)
    (assert-true (ext:float-nan-p (kernel:%tanh *snan*)))))

(define-test %acosh.exceptions
  (:tag :fdlibm)
  (assert-error 'floating-point-overflow
		(kernel:%acosh ext:double-float-positive-infinity))
  (assert-error 'floating-point-invalid-operation
		(kernel:%acosh 0d0))
  (kernel::with-float-traps-masked (:overflow)
    (assert-equal ext:double-float-positive-infinity
		  (kernel:%acosh ext:double-float-positive-infinity)))
  (kernel::with-float-traps-masked (:invalid)
    (assert-true (ext:float-nan-p (kernel:%acosh 0d0)))))

(define-test %asinh.exceptions
  (:tag :fdlibm)
  (assert-error 'floating-point-invalid-operation
		(kernel:%asinh *snan*))
  (assert-error 'floating-point-overflow
		(kernel:%asinh ext:double-float-positive-infinity))
  (assert-error 'floating-point-overflow
		(kernel:%asinh ext:double-float-negative-infinity))
  (assert-true (ext:float-nan-p (kernel:%asinh *qnan*)))
  (kernel::with-float-traps-masked (:overflow)
    (assert-equal ext:double-float-positive-infinity
		  (kernel:%asinh ext:double-float-positive-infinity))
    (assert-error ext:double-float-negative-infinity
		  (kernel:%asinh ext:double-float-negative-infinity)))
  (kernel::with-float-traps-masked (:invalid)
    (assert-true (ext:float-nan-p (kernel:%asinh *snan*)))))

(define-test %atanh.exceptions
  (:tag :fdlibm)
  (assert-error 'floating-point-invalid-operation
		(kernel:%atanh 2d0))
  (assert-error 'floating-point-invalid-operation
		(kernel:%atanh -2d0))
  (assert-error 'division-by-zero
		(kernel:%atanh 1d0))
  (assert-error 'division-by-zero
		(kernel:%atanh -1d0))
  (kernel::with-float-traps-masked (:invalid)
    (assert-true (ext:float-nan-p (kernel:%atanh 2d0)))
    (assert-true (ext:float-nan-p (kernel:%atanh -2d0))))
  (kernel::with-float-traps-masked (:divide-by-zero)
    (assert-equal ext:double-float-positive-infinity
		  (kernel:%atanh 1d0))
    (assert-equal ext:double-float-negative-infinity
		  (kernel:%atanh -1d0))))

(define-test %expm1.exceptions
  (:tag :fdlibm)
  (assert-error 'floating-point-overflow
		(kernel:%expm1 709.8d0))
  (assert-equal ext:double-float-positive-infinity
		(kernel:%expm1 ext:double-float-positive-infinity))
  (assert-error 'floating-point-invalid-operation
		(kernel:%expm1 *snan*))
  (assert-true (ext:float-nan-p (kernel:%expm1 *qnan*)))
  (kernel::with-float-traps-masked (:overflow)
    (assert-equal ext:double-float-positive-infinity
		 (kernel:%expm1 709.8d0))
    )
  (kernel::with-float-traps-masked (:invalid)
    (assert-true (ext::float-nan-p (kernel:%expm1 *snan*)))))

(define-test %log1p.exceptions
  (:tag :fdlibm)
  (assert-error 'floating-point-invalid-operation
		(kernel:%log1p -2d0))
  (assert-error 'floating-point-overflow
		(kernel:%log1p -1d0))
  (assert-true (ext:float-nan-p (kernel:%log1p *qnan*)))
  (kernel::with-float-traps-masked (:overflow)
    (assert-equal ext:double-float-negative-infinity
		  (kernel:%log1p -1d0)))
  (kernel::with-float-traps-masked (:invalid)
    (assert-true (ext:float-nan-p (kernel:%log1p *snan*)))))

(define-test %exp.exceptions
  (:tag :fdlibm)
  (assert-error 'floating-point-overflow
		(kernel:%exp 710d0))
  (assert-true (ext:float-nan-p (kernel:%exp *qnan*)))
  (assert-error 'floating-point-invalid-operation
		(kernel:%exp *snan*))
  (assert-equal ext:double-float-positive-infinity
		(kernel:%exp ext:double-float-positive-infinity))
  (assert-equal 0d0
		(kernel:%exp -1000d0))
  (kernel::with-float-traps-masked (:overflow)
    (assert-equal ext:double-float-positive-infinity
		  (kernel:%exp 710d0)))
  (let ((modes (ext:get-floating-point-modes)))
    (unwind-protect
	 (progn
	   (ext:set-floating-point-modes :traps '(:underflow))
	   (assert-error 'floating-point-underflow
			 (kernel:%exp -1000d0)))
      (apply #'ext:set-floating-point-modes modes))))

(define-test %log.exception
  (:tag :fdlibm)
  (assert-error 'division-by-zero
		(kernel:%log 0d0))
  (assert-error 'division-by-zero
		(kernel:%log -0d0))
  (assert-error 'floating-point-invalid-operation
		(kernel:%log -1d0))
  (assert-error 'floating-point-invalid-operation
		(kernel:%log *snan*))
  (assert-true (ext:float-nan-p (kernel:%log *qnan*)))
  (kernel::with-float-traps-masked (:divide-by-zero)
    (assert-equal ext:double-float-negative-infinity
		  (kernel:%log 0d0))
    (assert-equal ext:double-float-negative-infinity
		  (kernel:%log -0d0)))
  (kernel::with-float-traps-masked (:invalid)
    (assert-true (ext:float-nan-p (kernel:%log -1d0)))
    (assert-true (ext:float-nan-p (kernel:%log *snan*)))))

(define-test %acos.exceptions
  (:tag :fdlibm)
  (assert-error 'floating-point-invalid-operation
		(kernel:%acos 2d0))
  (assert-error 'floating-point-invalid-operation
		(kernel:%acos -2d0))
  (kernel::with-float-traps-masked (:invalid)
    (assert-true (ext:float-nan-p (kernel:%acos 2d0)))
    (assert-true (ext:float-nan-p (kernel:%acos -2d0)))))

(define-test %asin.exceptions
  (:tag :fdlibm)
  (assert-error 'floating-point-invalid-operation
		(kernel:%asin 2d0))
  (assert-error 'floating-point-invalid-operation
		(kernel:%asin -2d0))
  (kernel::with-float-traps-masked (:invalid)
    (assert-true (ext:float-nan-p (kernel:%asin 2d0)))
    (assert-true (ext:float-nan-p (kernel:%asin -2d0)))))

(define-test %atan.exceptions
  (:tag :fdlibm)
  (assert-error 'floating-point-invalid-operation
		(kernel:%atan *snan*))
  (assert-true (ext:float-nan-p (kernel:%atan *qnan*)))
  (kernel::with-float-traps-masked (:invalid)
    (assert-true (ext:float-nan-p (kernel:%atan *snan*)))))

(define-test %log10.exceptions
  (:tag :fdlibm)
  ;; %log10(2^k) = k
  (dotimes (k 23)
    (assert-equalp k
		  (kernel:%log10 (float (expt 10 k) 1d0))))
  (assert-error 'division-by-zero
		(kernel:%log10 0d0))
  (assert-error 'floating-point-invalid-operation
		(kernel:%log10 -1d0))
  (assert-true (ext:float-nan-p (kernel:%log10 *qnan*)))
  (assert-equal ext:double-float-positive-infinity
		(kernel:%log10 ext:double-float-positive-infinity))
  (kernel::with-float-traps-masked (:divide-by-zero)
    (assert-equal ext:double-float-negative-infinity
		  (kernel:%log10 0d0))
    (assert-equal ext:double-float-negative-infinity
		  (kernel:%log10 -0d0)))
  (kernel::with-float-traps-masked (:invalid)
    (assert-true (ext:float-nan-p (kernel:%log10 -1d0)))))

(define-test %scalbn.exceptions
  (:tag :fdlibm)
  (let ((modes (ext:get-floating-point-modes)))
    (unwind-protect
	 (progn
	   (ext:set-floating-point-modes :traps '(:underflow))
	   (assert-error 'floating-point-underflow
			 (kernel:%scalbn 1d0 -51000)))
      (apply #'ext:set-floating-point-modes modes)))
  (assert-true 0d0
	       (kernel:%scalbn 1d0 -51000))
  (assert-true -0d0
	       (kernel:%scalbn -1d0 -51000))
  (assert-error 'floating-point-overflow
		(kernel:%scalbn ext:double-float-positive-infinity 1))
  (assert-error 'floating-point-invalid-operation
		(kernel:%scalbn *snan* 1))
  (assert-error 'floating-point-overflow
		(kernel:%scalbn most-positive-double-float 2))
  (assert-error 'floating-point-overflow
		(kernel:%scalbn most-negative-double-float 2))
  (kernel::with-float-traps-masked (:overflow)
    (assert-equal ext:double-float-positive-infinity
		  (kernel:%scalbn ext:double-float-positive-infinity 1))
    (assert-equal ext:double-float-positive-infinity
		  (kernel:%scalbn most-positive-double-float 2))
    (assert-equal ext:double-float-negative-infinity
		  (kernel:%scalbn most-negative-double-float 2))))